tensorflow2/011-relu/relu-and-best-practice.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Why ReLU in Deep Learning and the best practice to use it\n",
    "\n",
    "This is a notebook for the medium article [Why Rectified Linear Unit (ReLU) in Deep Learning and the best practice to use it with TensorFlow](https://bindichen.medium.com/why-rectified-linear-unit-relu-in-deep-learning-and-the-best-practice-to-use-it-with-tensorflow-e9880933b7ef)\n",
    "\n",
    "Please check out article for instructions\n",
    "\n",
    "**License**: [BSD 2-Clause](https://opensource.org/licenses/BSD-2-Clause)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "os.environ['KMP_DUPLICATE_LIB_OK']='True'\n",
    "\n",
    "from tensorflow import keras\n",
    "import tensorflow as tf\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Helper function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'svg'\n",
    "def plot_metric(history, metric):\n",
    "    train_metrics = history.history[metric]\n",
    "    val_metrics = history.history['val_'+metric]\n",
    "    epochs = range(1, len(train_metrics) + 1)\n",
    "    plt.plot(epochs, train_metrics)\n",
    "    plt.plot(epochs, val_metrics)\n",
    "    plt.title('Training and validation '+ metric)\n",
    "    plt.xlabel(\"Epochs\")\n",
    "    plt.ylabel(metric)\n",
    "    plt.legend([\"train_\"+metric, 'val_'+metric])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Sigmoid and Tanh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sigmoid(z):\n",
    "    return 1 / (1 + np.exp(-z))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "z = np.linspace(-7, 7, 200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"265.155937pt\" version=\"1.1\" viewBox=\"0 0 659.482812 265.155937\" width=\"659.482812pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 265.155937 \n",
       "L 659.482812 265.155937 \n",
       "L 659.482812 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 38.482813 241.277812 \n",
       "L 317.482813 241.277812 \n",
       "L 317.482813 23.837812 \n",
       "L 38.482813 23.837812 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#p9d50497c08)\" d=\"M 66.382813 241.277812 \n",
       "L 66.382813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"meefefc6aff\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"66.382813\" xlink:href=\"#meefefc6aff\" y=\"241.277812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- −4 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(59.011719 255.87625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path clip-path=\"url(#p9d50497c08)\" d=\"M 122.182813 241.277812 \n",
       "L 122.182813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"122.182813\" xlink:href=\"#meefefc6aff\" y=\"241.277812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- −2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(114.811719 255.87625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path clip-path=\"url(#p9d50497c08)\" d=\"M 177.982813 241.277812 \n",
       "L 177.982813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.982813\" xlink:href=\"#meefefc6aff\" y=\"241.277812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(174.801563 255.87625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path clip-path=\"url(#p9d50497c08)\" d=\"M 233.782813 241.277812 \n",
       "L 233.782813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"233.782813\" xlink:href=\"#meefefc6aff\" y=\"241.277812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 2 -->\n",
       "      <g transform=\"translate(230.601563 255.87625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path clip-path=\"url(#p9d50497c08)\" d=\"M 289.582813 241.277812 \n",
       "L 289.582813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"289.582813\" xlink:href=\"#meefefc6aff\" y=\"241.277812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 4 -->\n",
       "      <g transform=\"translate(286.401563 255.87625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path clip-path=\"url(#p9d50497c08)\" d=\"M 38.482813 223.157812 \n",
       "L 317.482813 223.157812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m99acaa1ead\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m99acaa1ead\" y=\"223.157812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- −1.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 226.957031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path clip-path=\"url(#p9d50497c08)\" d=\"M 38.482813 177.857812 \n",
       "L 317.482813 177.857812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m99acaa1ead\" y=\"177.857812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- −0.5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 181.657031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#p9d50497c08)\" d=\"M 38.482813 132.557812 \n",
       "L 317.482813 132.557812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m99acaa1ead\" y=\"132.557812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(15.579688 136.357031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#p9d50497c08)\" d=\"M 38.482813 87.257812 \n",
       "L 317.482813 87.257812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m99acaa1ead\" y=\"87.257812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(15.579688 91.057031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#p9d50497c08)\" d=\"M 38.482813 41.957812 \n",
       "L 317.482813 41.957812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#m99acaa1ead\" y=\"41.957812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(15.579688 45.757031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path clip-path=\"url(#p9d50497c08)\" d=\"M -1 132.557812 \n",
       "L 373.282813 132.557812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_22\">\n",
       "    <path clip-path=\"url(#p9d50497c08)\" d=\"M 177.982813 266.155937 \n",
       "L 177.982813 -1 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path clip-path=\"url(#p9d50497c08)\" d=\"M -1 41.957812 \n",
       "L 373.282813 41.957812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_24\">\n",
       "    <path clip-path=\"url(#p9d50497c08)\" d=\"M -1 132.409703 \n",
       "L 25.864722 132.171104 \n",
       "L 45.492863 131.779724 \n",
       "L 59.232561 131.291515 \n",
       "L 71.009446 130.640557 \n",
       "L 80.823516 129.856408 \n",
       "L 88.674772 129.012823 \n",
       "L 96.526029 127.919706 \n",
       "L 102.414471 126.897926 \n",
       "L 108.302913 125.669086 \n",
       "L 114.191355 124.1997 \n",
       "L 120.079797 122.454717 \n",
       "L 125.96824 120.399281 \n",
       "L 131.856682 118.001293 \n",
       "L 135.78231 116.19914 \n",
       "L 139.707938 114.227655 \n",
       "L 143.633566 112.084097 \n",
       "L 149.522008 108.548104 \n",
       "L 155.410451 104.644497 \n",
       "L 161.298893 100.412598 \n",
       "L 167.187335 95.91415 \n",
       "L 177.001405 88.054464 \n",
       "L 188.77829 78.601475 \n",
       "L 194.666732 74.103027 \n",
       "L 200.555174 69.871128 \n",
       "L 206.443617 65.967521 \n",
       "L 212.332059 62.431528 \n",
       "L 216.257687 60.28797 \n",
       "L 220.183315 58.316485 \n",
       "L 224.108943 56.514332 \n",
       "L 229.997385 54.116344 \n",
       "L 235.885828 52.060908 \n",
       "L 241.77427 50.315925 \n",
       "L 247.662712 48.846539 \n",
       "L 253.551154 47.617699 \n",
       "L 259.439596 46.595919 \n",
       "L 267.290853 45.502802 \n",
       "L 275.142109 44.659217 \n",
       "L 284.956179 43.875068 \n",
       "L 294.77025 43.315022 \n",
       "L 306.547134 42.852297 \n",
       "L 322.249647 42.469488 \n",
       "L 343.840601 42.194531 \n",
       "L 373.282813 42.040354 \n",
       "L 373.282813 42.040354 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:2;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 38.482813 241.277812 \n",
       "L 38.482813 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 317.482813 241.277812 \n",
       "L 317.482813 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 38.482813 241.277812 \n",
       "L 317.482813 241.277812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 38.482813 23.837812 \n",
       "L 317.482813 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_11\">\n",
       "    <!-- Sigmoid activation function -->\n",
       "    <defs>\n",
       "     <path d=\"M 53.515625 70.515625 \n",
       "L 53.515625 60.890625 \n",
       "Q 47.90625 63.578125 42.921875 64.890625 \n",
       "Q 37.9375 66.21875 33.296875 66.21875 \n",
       "Q 25.25 66.21875 20.875 63.09375 \n",
       "Q 16.5 59.96875 16.5 54.203125 \n",
       "Q 16.5 49.359375 19.40625 46.890625 \n",
       "Q 22.3125 44.4375 30.421875 42.921875 \n",
       "L 36.375 41.703125 \n",
       "Q 47.40625 39.59375 52.65625 34.296875 \n",
       "Q 57.90625 29 57.90625 20.125 \n",
       "Q 57.90625 9.515625 50.796875 4.046875 \n",
       "Q 43.703125 -1.421875 29.984375 -1.421875 \n",
       "Q 24.8125 -1.421875 18.96875 -0.25 \n",
       "Q 13.140625 0.921875 6.890625 3.21875 \n",
       "L 6.890625 13.375 \n",
       "Q 12.890625 10.015625 18.65625 8.296875 \n",
       "Q 24.421875 6.59375 29.984375 6.59375 \n",
       "Q 38.421875 6.59375 43.015625 9.90625 \n",
       "Q 47.609375 13.234375 47.609375 19.390625 \n",
       "Q 47.609375 24.75 44.3125 27.78125 \n",
       "Q 41.015625 30.8125 33.5 32.328125 \n",
       "L 27.484375 33.5 \n",
       "Q 16.453125 35.6875 11.515625 40.375 \n",
       "Q 6.59375 45.0625 6.59375 53.421875 \n",
       "Q 6.59375 63.09375 13.40625 68.65625 \n",
       "Q 20.21875 74.21875 32.171875 74.21875 \n",
       "Q 37.3125 74.21875 42.625 73.28125 \n",
       "Q 47.953125 72.359375 53.515625 70.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-83\"/>\n",
       "     <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "     <path d=\"M 45.40625 27.984375 \n",
       "Q 45.40625 37.75 41.375 43.109375 \n",
       "Q 37.359375 48.484375 30.078125 48.484375 \n",
       "Q 22.859375 48.484375 18.828125 43.109375 \n",
       "Q 14.796875 37.75 14.796875 27.984375 \n",
       "Q 14.796875 18.265625 18.828125 12.890625 \n",
       "Q 22.859375 7.515625 30.078125 7.515625 \n",
       "Q 37.359375 7.515625 41.375 12.890625 \n",
       "Q 45.40625 18.265625 45.40625 27.984375 \n",
       "z\n",
       "M 54.390625 6.78125 \n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \n",
       "Q 42 -20.796875 29.203125 -20.796875 \n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \n",
       "L 12.109375 -9.1875 \n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \n",
       "Q 23.78125 -13.375 27.78125 -13.375 \n",
       "Q 36.625 -13.375 41.015625 -8.765625 \n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \n",
       "L 45.40625 9.625 \n",
       "Q 42.625 4.78125 38.28125 2.390625 \n",
       "Q 33.9375 0 27.875 0 \n",
       "Q 17.828125 0 11.671875 7.65625 \n",
       "Q 5.515625 15.328125 5.515625 27.984375 \n",
       "Q 5.515625 40.671875 11.671875 48.328125 \n",
       "Q 17.828125 56 27.875 56 \n",
       "Q 33.9375 56 38.28125 53.609375 \n",
       "Q 42.625 51.21875 45.40625 46.390625 \n",
       "L 45.40625 54.6875 \n",
       "L 54.390625 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-103\"/>\n",
       "     <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "     <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "     <path d=\"M 45.40625 46.390625 \n",
       "L 45.40625 75.984375 \n",
       "L 54.390625 75.984375 \n",
       "L 54.390625 0 \n",
       "L 45.40625 0 \n",
       "L 45.40625 8.203125 \n",
       "Q 42.578125 3.328125 38.25 0.953125 \n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \n",
       "Q 5.515625 14.40625 5.515625 27.296875 \n",
       "Q 5.515625 40.1875 11.734375 48.09375 \n",
       "Q 17.96875 56 27.875 56 \n",
       "Q 33.9375 56 38.25 53.625 \n",
       "Q 42.578125 51.265625 45.40625 46.390625 \n",
       "z\n",
       "M 14.796875 27.296875 \n",
       "Q 14.796875 17.390625 18.875 11.75 \n",
       "Q 22.953125 6.109375 30.078125 6.109375 \n",
       "Q 37.203125 6.109375 41.296875 11.75 \n",
       "Q 45.40625 17.390625 45.40625 27.296875 \n",
       "Q 45.40625 37.203125 41.296875 42.84375 \n",
       "Q 37.203125 48.484375 30.078125 48.484375 \n",
       "Q 22.953125 48.484375 18.875 42.84375 \n",
       "Q 14.796875 37.203125 14.796875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-100\"/>\n",
       "     <path id=\"DejaVuSans-32\"/>\n",
       "     <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "     <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "     <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "     <path d=\"M 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 8.796875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "L 35.6875 0 \n",
       "L 23.484375 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-118\"/>\n",
       "     <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "     <path d=\"M 37.109375 75.984375 \n",
       "L 37.109375 68.5 \n",
       "L 28.515625 68.5 \n",
       "Q 23.6875 68.5 21.796875 66.546875 \n",
       "Q 19.921875 64.59375 19.921875 59.515625 \n",
       "L 19.921875 54.6875 \n",
       "L 34.71875 54.6875 \n",
       "L 34.71875 47.703125 \n",
       "L 19.921875 47.703125 \n",
       "L 19.921875 0 \n",
       "L 10.890625 0 \n",
       "L 10.890625 47.703125 \n",
       "L 2.296875 47.703125 \n",
       "L 2.296875 54.6875 \n",
       "L 10.890625 54.6875 \n",
       "L 10.890625 58.5 \n",
       "Q 10.890625 67.625 15.140625 71.796875 \n",
       "Q 19.390625 75.984375 28.609375 75.984375 \n",
       "z\n",
       "\" id=\"DejaVuSans-102\"/>\n",
       "     <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "    </defs>\n",
       "    <g transform=\"translate(81.948281 17.837812)scale(0.14 -0.14)\">\n",
       "     <use xlink:href=\"#DejaVuSans-83\"/>\n",
       "     <use x=\"63.476562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"91.259766\" xlink:href=\"#DejaVuSans-103\"/>\n",
       "     <use x=\"154.736328\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "     <use x=\"252.148438\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"313.330078\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"341.113281\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "     <use x=\"404.589844\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"436.376953\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"497.65625\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"552.636719\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"591.845703\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"619.628906\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"678.808594\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"740.087891\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"779.296875\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"807.080078\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"868.261719\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"931.640625\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"963.427734\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "     <use x=\"998.632812\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "     <use x=\"1062.011719\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"1125.390625\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1180.371094\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"1219.580078\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"1247.363281\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1308.544922\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 373.282812 241.277812 \n",
       "L 652.282812 241.277812 \n",
       "L 652.282812 23.837812 \n",
       "L 373.282812 23.837812 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path clip-path=\"url(#p1677a5c18f)\" d=\"M 401.182812 241.277812 \n",
       "L 401.182812 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"401.182812\" xlink:href=\"#meefefc6aff\" y=\"241.277812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- −4 -->\n",
       "      <g transform=\"translate(393.811719 255.87625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <path clip-path=\"url(#p1677a5c18f)\" d=\"M 456.982812 241.277812 \n",
       "L 456.982812 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"456.982812\" xlink:href=\"#meefefc6aff\" y=\"241.277812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- −2 -->\n",
       "      <g transform=\"translate(449.611719 255.87625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <path clip-path=\"url(#p1677a5c18f)\" d=\"M 512.782812 241.277812 \n",
       "L 512.782812 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"512.782812\" xlink:href=\"#meefefc6aff\" y=\"241.277812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(509.601562 255.87625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <path clip-path=\"url(#p1677a5c18f)\" d=\"M 568.582813 241.277812 \n",
       "L 568.582813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"568.582813\" xlink:href=\"#meefefc6aff\" y=\"241.277812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 2 -->\n",
       "      <g transform=\"translate(565.401563 255.87625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <path clip-path=\"url(#p1677a5c18f)\" d=\"M 624.382812 241.277812 \n",
       "L 624.382812 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"624.382812\" xlink:href=\"#meefefc6aff\" y=\"241.277812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 4 -->\n",
       "      <g transform=\"translate(621.201563 255.87625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <path clip-path=\"url(#p1677a5c18f)\" d=\"M 373.282812 223.157812 \n",
       "L 652.282812 223.157812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#m99acaa1ead\" y=\"223.157812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- −1.0 -->\n",
       "      <g transform=\"translate(342 226.957031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <path clip-path=\"url(#p1677a5c18f)\" d=\"M 373.282812 177.857812 \n",
       "L 652.282812 177.857812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#m99acaa1ead\" y=\"177.857812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- −0.5 -->\n",
       "      <g transform=\"translate(342 181.657031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <path clip-path=\"url(#p1677a5c18f)\" d=\"M 373.282812 132.557812 \n",
       "L 652.282812 132.557812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#m99acaa1ead\" y=\"132.557812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(350.379687 136.357031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <path clip-path=\"url(#p1677a5c18f)\" d=\"M 373.282812 87.257812 \n",
       "L 652.282812 87.257812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#m99acaa1ead\" y=\"87.257812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(350.379687 91.057031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <path clip-path=\"url(#p1677a5c18f)\" d=\"M 373.282812 41.957812 \n",
       "L 652.282812 41.957812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#m99acaa1ead\" y=\"41.957812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(350.379687 45.757031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_45\">\n",
       "    <path clip-path=\"url(#p1677a5c18f)\" d=\"M 317.482812 132.557812 \n",
       "L 660.482812 132.557812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_46\">\n",
       "    <path clip-path=\"url(#p1677a5c18f)\" d=\"M 373.282812 223.157812 \n",
       "L 652.282812 223.157812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_47\">\n",
       "    <path clip-path=\"url(#p1677a5c18f)\" d=\"M 512.782812 266.155937 \n",
       "L 512.782812 -1 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_48\">\n",
       "    <path clip-path=\"url(#p1677a5c18f)\" d=\"M 317.482812 41.957812 \n",
       "L 660.482812 41.957812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_49\">\n",
       "    <path clip-path=\"url(#p1677a5c18f)\" d=\"M 317.482812 223.157662 \n",
       "L 409.735074 223.045666 \n",
       "L 425.437586 222.812606 \n",
       "L 435.251657 222.461556 \n",
       "L 443.102913 221.938999 \n",
       "L 448.991355 221.30545 \n",
       "L 452.916983 220.711573 \n",
       "L 456.842611 219.930722 \n",
       "L 460.76824 218.906546 \n",
       "L 464.693868 217.567541 \n",
       "L 468.619496 215.824272 \n",
       "L 470.58231 214.7676 \n",
       "L 472.545124 213.567073 \n",
       "L 474.507938 212.205653 \n",
       "L 476.470752 210.665046 \n",
       "L 478.433566 208.925843 \n",
       "L 480.39638 206.96775 \n",
       "L 482.359194 204.769922 \n",
       "L 484.322008 202.311429 \n",
       "L 486.284823 199.571849 \n",
       "L 488.247637 196.532022 \n",
       "L 490.210451 193.17494 \n",
       "L 492.173265 189.486788 \n",
       "L 494.136079 185.458066 \n",
       "L 496.098893 181.084778 \n",
       "L 498.061707 176.369585 \n",
       "L 500.024521 171.322835 \n",
       "L 503.950149 160.318913 \n",
       "L 507.875777 148.330188 \n",
       "L 521.615476 104.796712 \n",
       "L 525.541104 93.79279 \n",
       "L 527.503918 88.74604 \n",
       "L 529.466732 84.030847 \n",
       "L 531.429546 79.657559 \n",
       "L 533.39236 75.628837 \n",
       "L 535.355174 71.940685 \n",
       "L 537.317988 68.583603 \n",
       "L 539.280802 65.543776 \n",
       "L 541.243617 62.804196 \n",
       "L 543.206431 60.345703 \n",
       "L 545.169245 58.147875 \n",
       "L 547.132059 56.189782 \n",
       "L 549.094873 54.450579 \n",
       "L 551.057687 52.909972 \n",
       "L 553.020501 51.548552 \n",
       "L 554.983315 50.348025 \n",
       "L 556.946129 49.291353 \n",
       "L 560.871757 47.548084 \n",
       "L 564.797385 46.209079 \n",
       "L 568.723014 45.184903 \n",
       "L 572.648642 44.404052 \n",
       "L 576.57427 43.810175 \n",
       "L 582.462712 43.176626 \n",
       "L 588.351154 42.758797 \n",
       "L 596.20241 42.414926 \n",
       "L 607.979295 42.154605 \n",
       "L 627.607436 42.00604 \n",
       "L 660.482812 41.962391 \n",
       "L 660.482812 41.962391 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:2;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 373.282812 241.277812 \n",
       "L 373.282812 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 652.282812 241.277812 \n",
       "L 652.282812 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 373.282812 241.277812 \n",
       "L 652.282812 241.277812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 373.282812 23.837812 \n",
       "L 652.282812 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_22\">\n",
       "    <!-- Tanh activation function -->\n",
       "    <defs>\n",
       "     <path d=\"M -0.296875 72.90625 \n",
       "L 61.375 72.90625 \n",
       "L 61.375 64.59375 \n",
       "L 35.5 64.59375 \n",
       "L 35.5 0 \n",
       "L 25.59375 0 \n",
       "L 25.59375 64.59375 \n",
       "L -0.296875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-84\"/>\n",
       "     <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 75.984375 \n",
       "L 18.109375 75.984375 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-104\"/>\n",
       "    </defs>\n",
       "    <g transform=\"translate(428.788281 17.837812)scale(0.14 -0.14)\">\n",
       "     <use xlink:href=\"#DejaVuSans-84\"/>\n",
       "     <use x=\"44.583984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"105.863281\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"169.242188\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "     <use x=\"232.621094\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"264.408203\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"325.6875\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"380.667969\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"419.876953\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"447.660156\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"506.839844\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"568.119141\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"607.328125\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"635.111328\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"696.292969\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"759.671875\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"791.458984\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "     <use x=\"826.664062\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "     <use x=\"890.042969\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"953.421875\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1008.402344\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"1047.611328\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"1075.394531\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1136.576172\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p9d50497c08\">\n",
       "   <rect height=\"217.44\" width=\"279\" x=\"38.482813\" y=\"23.837812\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p1677a5c18f\">\n",
       "   <rect height=\"217.44\" width=\"279\" x=\"373.282812\" y=\"23.837812\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 792x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(11,4))\n",
    "\n",
    "plt.subplot(1,2,1)\n",
    "# coordinate \n",
    "plt.plot([-7, 7], [0, 0], 'k-', linewidth=1)\n",
    "plt.plot([0, 0], [-2.2, 3.2], 'k-', linewidth=1)\n",
    "plt.plot([-7,7], [1,1], 'k--', linewidth=1)\n",
    "# Plot sigmoid\n",
    "plt.plot(z, sigmoid(z), \"b-\", linewidth=2, label=\"Sigmoid\")\n",
    "plt.grid(True)\n",
    "plt.title(\"Sigmoid activation function\", fontsize=14)\n",
    "plt.axis([-5, 5, -1.2, 1.2])\n",
    "\n",
    "plt.subplot(1,2,2)\n",
    "# coordinate \n",
    "plt.plot([-7, 7], [0, 0], 'k-', linewidth=1)\n",
    "plt.plot([-5, 5], [-1, -1], 'k--', linewidth=1)\n",
    "plt.plot([0, 0], [-2.2, 3.2], 'k-', linewidth=1)\n",
    "plt.plot([-7,7], [1,1], 'k--', linewidth=1)\n",
    "# Plot\n",
    "plt.plot(z, np.tanh(z), \"b-\", linewidth=2, label=\"Tanh\")\n",
    "plt.grid(True)\n",
    "plt.title(\"Tanh activation function\", fontsize=14)\n",
    "plt.axis([-5, 5, -1.2, 1.2])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def derivative(f, z, eps=0.000001):\n",
    "    return (f(z + eps) - f(z - eps))/(2 * eps)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"482.595937pt\" version=\"1.1\" viewBox=\"0 0 659.482812 482.595937\" width=\"659.482812pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 482.595937 \n",
       "L 659.482812 482.595937 \n",
       "L 659.482812 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 38.482813 221.51054 \n",
       "L 317.482813 221.51054 \n",
       "L 317.482813 23.837812 \n",
       "L 38.482813 23.837812 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <path clip-path=\"url(#pfc76880451)\" d=\"M 66.382813 221.51054 \n",
       "L 66.382813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_2\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"mcda6bd3f14\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"66.382813\" xlink:href=\"#mcda6bd3f14\" y=\"221.51054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- −4 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.59375 35.5 \n",
       "L 73.1875 35.5 \n",
       "L 73.1875 27.203125 \n",
       "L 10.59375 27.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-8722\"/>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(59.011719 236.108977)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <path clip-path=\"url(#pfc76880451)\" d=\"M 122.182813 221.51054 \n",
       "L 122.182813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"122.182813\" xlink:href=\"#mcda6bd3f14\" y=\"221.51054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- −2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(114.811719 236.108977)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <path clip-path=\"url(#pfc76880451)\" d=\"M 177.982813 221.51054 \n",
       "L 177.982813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_6\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.982813\" xlink:href=\"#mcda6bd3f14\" y=\"221.51054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(174.801563 236.108977)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <path clip-path=\"url(#pfc76880451)\" d=\"M 233.782813 221.51054 \n",
       "L 233.782813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"233.782813\" xlink:href=\"#mcda6bd3f14\" y=\"221.51054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 2 -->\n",
       "      <g transform=\"translate(230.601563 236.108977)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <path clip-path=\"url(#pfc76880451)\" d=\"M 289.582813 221.51054 \n",
       "L 289.582813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"289.582813\" xlink:href=\"#mcda6bd3f14\" y=\"221.51054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 4 -->\n",
       "      <g transform=\"translate(286.401563 236.108977)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <path clip-path=\"url(#pfc76880451)\" d=\"M 38.482813 205.037812 \n",
       "L 317.482813 205.037812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_12\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"mbd99975f06\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mbd99975f06\" y=\"205.037812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- −1.0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 208.837031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <path clip-path=\"url(#pfc76880451)\" d=\"M 38.482813 163.855994 \n",
       "L 317.482813 163.855994 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mbd99975f06\" y=\"163.855994\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- −0.5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 167.655213)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_15\">\n",
       "      <path clip-path=\"url(#pfc76880451)\" d=\"M 38.482813 122.674176 \n",
       "L 317.482813 122.674176 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_16\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mbd99975f06\" y=\"122.674176\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(15.579688 126.473395)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_17\">\n",
       "      <path clip-path=\"url(#pfc76880451)\" d=\"M 38.482813 81.492358 \n",
       "L 317.482813 81.492358 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_18\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mbd99975f06\" y=\"81.492358\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(15.579688 85.291577)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_19\">\n",
       "      <path clip-path=\"url(#pfc76880451)\" d=\"M 38.482813 40.31054 \n",
       "L 317.482813 40.31054 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_20\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mbd99975f06\" y=\"40.31054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(15.579688 44.109759)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path clip-path=\"url(#pfc76880451)\" d=\"M -1 122.674176 \n",
       "L 373.282813 122.674176 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_22\">\n",
       "    <path clip-path=\"url(#pfc76880451)\" d=\"M 177.982813 303.874176 \n",
       "L 177.982813 -1 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_23\">\n",
       "    <path clip-path=\"url(#pfc76880451)\" d=\"M -1 40.31054 \n",
       "L 373.282813 40.31054 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_24\">\n",
       "    <path clip-path=\"url(#pfc76880451)\" d=\"M -1 122.539531 \n",
       "L 27.827536 122.297117 \n",
       "L 47.455677 121.915742 \n",
       "L 61.195375 121.440349 \n",
       "L 72.97226 120.80706 \n",
       "L 82.78633 120.045074 \n",
       "L 90.637586 119.226402 \n",
       "L 98.488843 118.167214 \n",
       "L 104.377285 117.178825 \n",
       "L 110.265727 115.992283 \n",
       "L 116.154169 114.576535 \n",
       "L 122.042611 112.899562 \n",
       "L 127.931054 110.930217 \n",
       "L 133.819496 108.640804 \n",
       "L 139.707938 106.010397 \n",
       "L 145.59638 103.028701 \n",
       "L 151.484823 99.700046 \n",
       "L 157.373265 96.046843 \n",
       "L 163.261707 92.111674 \n",
       "L 171.112963 86.537019 \n",
       "L 192.703918 70.873042 \n",
       "L 198.59236 66.937873 \n",
       "L 204.480802 63.28467 \n",
       "L 210.369245 59.956015 \n",
       "L 216.257687 56.974319 \n",
       "L 222.146129 54.343912 \n",
       "L 228.034571 52.054499 \n",
       "L 233.923014 50.085153 \n",
       "L 239.811456 48.408181 \n",
       "L 245.699898 46.992432 \n",
       "L 251.58834 45.805891 \n",
       "L 257.476782 44.817502 \n",
       "L 265.328039 43.758314 \n",
       "L 273.179295 42.939642 \n",
       "L 282.993365 42.177656 \n",
       "L 292.807436 41.632851 \n",
       "L 306.547134 41.123707 \n",
       "L 322.249647 40.7757 \n",
       "L 343.840601 40.525738 \n",
       "L 373.282813 40.385577 \n",
       "L 373.282813 40.385577 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:2;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 38.482813 221.51054 \n",
       "L 38.482813 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 317.482813 221.51054 \n",
       "L 317.482813 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 38.482813 221.51054 \n",
       "L 317.482813 221.51054 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 38.482813 23.837812 \n",
       "L 317.482813 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_11\">\n",
       "    <!-- Sigmoid activation function -->\n",
       "    <defs>\n",
       "     <path d=\"M 53.515625 70.515625 \n",
       "L 53.515625 60.890625 \n",
       "Q 47.90625 63.578125 42.921875 64.890625 \n",
       "Q 37.9375 66.21875 33.296875 66.21875 \n",
       "Q 25.25 66.21875 20.875 63.09375 \n",
       "Q 16.5 59.96875 16.5 54.203125 \n",
       "Q 16.5 49.359375 19.40625 46.890625 \n",
       "Q 22.3125 44.4375 30.421875 42.921875 \n",
       "L 36.375 41.703125 \n",
       "Q 47.40625 39.59375 52.65625 34.296875 \n",
       "Q 57.90625 29 57.90625 20.125 \n",
       "Q 57.90625 9.515625 50.796875 4.046875 \n",
       "Q 43.703125 -1.421875 29.984375 -1.421875 \n",
       "Q 24.8125 -1.421875 18.96875 -0.25 \n",
       "Q 13.140625 0.921875 6.890625 3.21875 \n",
       "L 6.890625 13.375 \n",
       "Q 12.890625 10.015625 18.65625 8.296875 \n",
       "Q 24.421875 6.59375 29.984375 6.59375 \n",
       "Q 38.421875 6.59375 43.015625 9.90625 \n",
       "Q 47.609375 13.234375 47.609375 19.390625 \n",
       "Q 47.609375 24.75 44.3125 27.78125 \n",
       "Q 41.015625 30.8125 33.5 32.328125 \n",
       "L 27.484375 33.5 \n",
       "Q 16.453125 35.6875 11.515625 40.375 \n",
       "Q 6.59375 45.0625 6.59375 53.421875 \n",
       "Q 6.59375 63.09375 13.40625 68.65625 \n",
       "Q 20.21875 74.21875 32.171875 74.21875 \n",
       "Q 37.3125 74.21875 42.625 73.28125 \n",
       "Q 47.953125 72.359375 53.515625 70.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-83\"/>\n",
       "     <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "     <path d=\"M 45.40625 27.984375 \n",
       "Q 45.40625 37.75 41.375 43.109375 \n",
       "Q 37.359375 48.484375 30.078125 48.484375 \n",
       "Q 22.859375 48.484375 18.828125 43.109375 \n",
       "Q 14.796875 37.75 14.796875 27.984375 \n",
       "Q 14.796875 18.265625 18.828125 12.890625 \n",
       "Q 22.859375 7.515625 30.078125 7.515625 \n",
       "Q 37.359375 7.515625 41.375 12.890625 \n",
       "Q 45.40625 18.265625 45.40625 27.984375 \n",
       "z\n",
       "M 54.390625 6.78125 \n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \n",
       "Q 42 -20.796875 29.203125 -20.796875 \n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \n",
       "L 12.109375 -9.1875 \n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \n",
       "Q 23.78125 -13.375 27.78125 -13.375 \n",
       "Q 36.625 -13.375 41.015625 -8.765625 \n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \n",
       "L 45.40625 9.625 \n",
       "Q 42.625 4.78125 38.28125 2.390625 \n",
       "Q 33.9375 0 27.875 0 \n",
       "Q 17.828125 0 11.671875 7.65625 \n",
       "Q 5.515625 15.328125 5.515625 27.984375 \n",
       "Q 5.515625 40.671875 11.671875 48.328125 \n",
       "Q 17.828125 56 27.875 56 \n",
       "Q 33.9375 56 38.28125 53.609375 \n",
       "Q 42.625 51.21875 45.40625 46.390625 \n",
       "L 45.40625 54.6875 \n",
       "L 54.390625 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-103\"/>\n",
       "     <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "     <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "     <path d=\"M 45.40625 46.390625 \n",
       "L 45.40625 75.984375 \n",
       "L 54.390625 75.984375 \n",
       "L 54.390625 0 \n",
       "L 45.40625 0 \n",
       "L 45.40625 8.203125 \n",
       "Q 42.578125 3.328125 38.25 0.953125 \n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \n",
       "Q 5.515625 14.40625 5.515625 27.296875 \n",
       "Q 5.515625 40.1875 11.734375 48.09375 \n",
       "Q 17.96875 56 27.875 56 \n",
       "Q 33.9375 56 38.25 53.625 \n",
       "Q 42.578125 51.265625 45.40625 46.390625 \n",
       "z\n",
       "M 14.796875 27.296875 \n",
       "Q 14.796875 17.390625 18.875 11.75 \n",
       "Q 22.953125 6.109375 30.078125 6.109375 \n",
       "Q 37.203125 6.109375 41.296875 11.75 \n",
       "Q 45.40625 17.390625 45.40625 27.296875 \n",
       "Q 45.40625 37.203125 41.296875 42.84375 \n",
       "Q 37.203125 48.484375 30.078125 48.484375 \n",
       "Q 22.953125 48.484375 18.875 42.84375 \n",
       "Q 14.796875 37.203125 14.796875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-100\"/>\n",
       "     <path id=\"DejaVuSans-32\"/>\n",
       "     <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "     <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "     <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "     <path d=\"M 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 8.796875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "L 35.6875 0 \n",
       "L 23.484375 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-118\"/>\n",
       "     <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "     <path d=\"M 37.109375 75.984375 \n",
       "L 37.109375 68.5 \n",
       "L 28.515625 68.5 \n",
       "Q 23.6875 68.5 21.796875 66.546875 \n",
       "Q 19.921875 64.59375 19.921875 59.515625 \n",
       "L 19.921875 54.6875 \n",
       "L 34.71875 54.6875 \n",
       "L 34.71875 47.703125 \n",
       "L 19.921875 47.703125 \n",
       "L 19.921875 0 \n",
       "L 10.890625 0 \n",
       "L 10.890625 47.703125 \n",
       "L 2.296875 47.703125 \n",
       "L 2.296875 54.6875 \n",
       "L 10.890625 54.6875 \n",
       "L 10.890625 58.5 \n",
       "Q 10.890625 67.625 15.140625 71.796875 \n",
       "Q 19.390625 75.984375 28.609375 75.984375 \n",
       "z\n",
       "\" id=\"DejaVuSans-102\"/>\n",
       "     <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "    </defs>\n",
       "    <g transform=\"translate(81.948281 17.837812)scale(0.14 -0.14)\">\n",
       "     <use xlink:href=\"#DejaVuSans-83\"/>\n",
       "     <use x=\"63.476562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"91.259766\" xlink:href=\"#DejaVuSans-103\"/>\n",
       "     <use x=\"154.736328\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "     <use x=\"252.148438\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"313.330078\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"341.113281\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "     <use x=\"404.589844\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"436.376953\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"497.65625\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"552.636719\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"591.845703\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"619.628906\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"678.808594\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"740.087891\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"779.296875\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"807.080078\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"868.261719\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"931.640625\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"963.427734\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "     <use x=\"998.632812\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "     <use x=\"1062.011719\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"1125.390625\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1180.371094\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"1219.580078\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"1247.363281\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1308.544922\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_2\">\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 373.282812 221.51054 \n",
       "L 652.282812 221.51054 \n",
       "L 652.282812 23.837812 \n",
       "L 373.282812 23.837812 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_3\">\n",
       "    <g id=\"xtick_6\">\n",
       "     <g id=\"line2d_25\">\n",
       "      <path clip-path=\"url(#p244f1063d7)\" d=\"M 401.182812 221.51054 \n",
       "L 401.182812 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_26\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"401.182812\" xlink:href=\"#mcda6bd3f14\" y=\"221.51054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- −4 -->\n",
       "      <g transform=\"translate(393.811719 236.108977)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_7\">\n",
       "     <g id=\"line2d_27\">\n",
       "      <path clip-path=\"url(#p244f1063d7)\" d=\"M 456.982812 221.51054 \n",
       "L 456.982812 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_28\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"456.982812\" xlink:href=\"#mcda6bd3f14\" y=\"221.51054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- −2 -->\n",
       "      <g transform=\"translate(449.611719 236.108977)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_8\">\n",
       "     <g id=\"line2d_29\">\n",
       "      <path clip-path=\"url(#p244f1063d7)\" d=\"M 512.782812 221.51054 \n",
       "L 512.782812 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_30\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"512.782812\" xlink:href=\"#mcda6bd3f14\" y=\"221.51054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(509.601562 236.108977)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_9\">\n",
       "     <g id=\"line2d_31\">\n",
       "      <path clip-path=\"url(#p244f1063d7)\" d=\"M 568.582813 221.51054 \n",
       "L 568.582813 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_32\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"568.582813\" xlink:href=\"#mcda6bd3f14\" y=\"221.51054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 2 -->\n",
       "      <g transform=\"translate(565.401563 236.108977)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_10\">\n",
       "     <g id=\"line2d_33\">\n",
       "      <path clip-path=\"url(#p244f1063d7)\" d=\"M 624.382812 221.51054 \n",
       "L 624.382812 23.837812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_34\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"624.382812\" xlink:href=\"#mcda6bd3f14\" y=\"221.51054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_16\">\n",
       "      <!-- 4 -->\n",
       "      <g transform=\"translate(621.201563 236.108977)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_4\">\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_35\">\n",
       "      <path clip-path=\"url(#p244f1063d7)\" d=\"M 373.282812 205.037812 \n",
       "L 652.282812 205.037812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_36\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#mbd99975f06\" y=\"205.037812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_17\">\n",
       "      <!-- −1.0 -->\n",
       "      <g transform=\"translate(342 208.837031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_37\">\n",
       "      <path clip-path=\"url(#p244f1063d7)\" d=\"M 373.282812 163.855994 \n",
       "L 652.282812 163.855994 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_38\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#mbd99975f06\" y=\"163.855994\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_18\">\n",
       "      <!-- −0.5 -->\n",
       "      <g transform=\"translate(342 167.655213)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_39\">\n",
       "      <path clip-path=\"url(#p244f1063d7)\" d=\"M 373.282812 122.674176 \n",
       "L 652.282812 122.674176 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_40\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#mbd99975f06\" y=\"122.674176\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_19\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(350.379687 126.473395)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_41\">\n",
       "      <path clip-path=\"url(#p244f1063d7)\" d=\"M 373.282812 81.492358 \n",
       "L 652.282812 81.492358 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_42\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#mbd99975f06\" y=\"81.492358\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_20\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(350.379687 85.291577)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_10\">\n",
       "     <g id=\"line2d_43\">\n",
       "      <path clip-path=\"url(#p244f1063d7)\" d=\"M 373.282812 40.31054 \n",
       "L 652.282812 40.31054 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_44\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#mbd99975f06\" y=\"40.31054\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_21\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(350.379687 44.109759)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_45\">\n",
       "    <path clip-path=\"url(#p244f1063d7)\" d=\"M 317.482812 122.674176 \n",
       "L 660.482812 122.674176 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_46\">\n",
       "    <path clip-path=\"url(#p244f1063d7)\" d=\"M 373.282812 205.037812 \n",
       "L 652.282812 205.037812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_47\">\n",
       "    <path clip-path=\"url(#p244f1063d7)\" d=\"M 512.782812 303.874176 \n",
       "L 512.782812 -1 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_48\">\n",
       "    <path clip-path=\"url(#p244f1063d7)\" d=\"M 317.482812 40.31054 \n",
       "L 660.482812 40.31054 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-dasharray:3.7,1.6;stroke-dashoffset:0;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_49\">\n",
       "    <path clip-path=\"url(#p244f1063d7)\" d=\"M 317.482812 205.037676 \n",
       "L 409.735074 204.935861 \n",
       "L 425.437586 204.723988 \n",
       "L 435.251657 204.404852 \n",
       "L 443.102913 203.929801 \n",
       "L 448.991355 203.353847 \n",
       "L 452.916983 202.813958 \n",
       "L 456.842611 202.104093 \n",
       "L 460.76824 201.173025 \n",
       "L 464.693868 199.955747 \n",
       "L 468.619496 198.370958 \n",
       "L 470.58231 197.410346 \n",
       "L 472.545124 196.318958 \n",
       "L 474.507938 195.081304 \n",
       "L 476.470752 193.680752 \n",
       "L 478.433566 192.099658 \n",
       "L 480.39638 190.319573 \n",
       "L 482.359194 188.321549 \n",
       "L 484.322008 186.086555 \n",
       "L 486.284823 183.596028 \n",
       "L 488.247637 180.832548 \n",
       "L 490.210451 177.780656 \n",
       "L 492.173265 174.42779 \n",
       "L 494.136079 170.765315 \n",
       "L 496.098893 166.789599 \n",
       "L 498.061707 162.50306 \n",
       "L 500.024521 157.915105 \n",
       "L 503.950149 147.91154 \n",
       "L 507.875777 137.0127 \n",
       "L 521.615476 97.436812 \n",
       "L 525.541104 87.433247 \n",
       "L 527.503918 82.845292 \n",
       "L 529.466732 78.558753 \n",
       "L 531.429546 74.583037 \n",
       "L 533.39236 70.920562 \n",
       "L 535.355174 67.567696 \n",
       "L 537.317988 64.515804 \n",
       "L 539.280802 61.752324 \n",
       "L 541.243617 59.261797 \n",
       "L 543.206431 57.026804 \n",
       "L 545.169245 55.028779 \n",
       "L 547.132059 53.248694 \n",
       "L 549.094873 51.6676 \n",
       "L 551.057687 50.267049 \n",
       "L 553.020501 49.029394 \n",
       "L 554.983315 47.938006 \n",
       "L 558.908943 46.13328 \n",
       "L 562.834571 44.743519 \n",
       "L 566.760199 43.678433 \n",
       "L 570.685828 42.865171 \n",
       "L 574.611456 42.245935 \n",
       "L 580.499898 41.584659 \n",
       "L 586.38834 41.148162 \n",
       "L 594.239596 40.788699 \n",
       "L 606.016481 40.516437 \n",
       "L 623.681807 40.368627 \n",
       "L 660.482812 40.314702 \n",
       "L 660.482812 40.314702 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-width:2;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 373.282812 221.51054 \n",
       "L 373.282812 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 652.282812 221.51054 \n",
       "L 652.282812 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 373.282812 221.51054 \n",
       "L 652.282812 221.51054 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 373.282812 23.837812 \n",
       "L 652.282812 23.837812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_22\">\n",
       "    <!-- Tanh activation function -->\n",
       "    <defs>\n",
       "     <path d=\"M -0.296875 72.90625 \n",
       "L 61.375 72.90625 \n",
       "L 61.375 64.59375 \n",
       "L 35.5 64.59375 \n",
       "L 35.5 0 \n",
       "L 25.59375 0 \n",
       "L 25.59375 64.59375 \n",
       "L -0.296875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-84\"/>\n",
       "     <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 75.984375 \n",
       "L 18.109375 75.984375 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-104\"/>\n",
       "    </defs>\n",
       "    <g transform=\"translate(428.788281 17.837812)scale(0.14 -0.14)\">\n",
       "     <use xlink:href=\"#DejaVuSans-84\"/>\n",
       "     <use x=\"44.583984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"105.863281\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"169.242188\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "     <use x=\"232.621094\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"264.408203\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"325.6875\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"380.667969\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"419.876953\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"447.660156\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"506.839844\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"568.119141\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"607.328125\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"635.111328\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"696.292969\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"759.671875\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"791.458984\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "     <use x=\"826.664062\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "     <use x=\"890.042969\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"953.421875\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1008.402344\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"1047.611328\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"1075.394531\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1136.576172\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_3\">\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 38.482813 458.717812 \n",
       "L 317.482813 458.717812 \n",
       "L 317.482813 261.045085 \n",
       "L 38.482813 261.045085 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_5\">\n",
       "    <g id=\"xtick_11\">\n",
       "     <g id=\"line2d_50\">\n",
       "      <path clip-path=\"url(#pec39041107)\" d=\"M 66.382813 458.717812 \n",
       "L 66.382813 261.045085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_51\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"66.382813\" xlink:href=\"#mcda6bd3f14\" y=\"458.717812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_23\">\n",
       "      <!-- −4 -->\n",
       "      <g transform=\"translate(59.011719 473.31625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_12\">\n",
       "     <g id=\"line2d_52\">\n",
       "      <path clip-path=\"url(#pec39041107)\" d=\"M 122.182813 458.717812 \n",
       "L 122.182813 261.045085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_53\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"122.182813\" xlink:href=\"#mcda6bd3f14\" y=\"458.717812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_24\">\n",
       "      <!-- −2 -->\n",
       "      <g transform=\"translate(114.811719 473.31625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_13\">\n",
       "     <g id=\"line2d_54\">\n",
       "      <path clip-path=\"url(#pec39041107)\" d=\"M 177.982813 458.717812 \n",
       "L 177.982813 261.045085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_55\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"177.982813\" xlink:href=\"#mcda6bd3f14\" y=\"458.717812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_25\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(174.801563 473.31625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_14\">\n",
       "     <g id=\"line2d_56\">\n",
       "      <path clip-path=\"url(#pec39041107)\" d=\"M 233.782813 458.717812 \n",
       "L 233.782813 261.045085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_57\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"233.782813\" xlink:href=\"#mcda6bd3f14\" y=\"458.717812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_26\">\n",
       "      <!-- 2 -->\n",
       "      <g transform=\"translate(230.601563 473.31625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_15\">\n",
       "     <g id=\"line2d_58\">\n",
       "      <path clip-path=\"url(#pec39041107)\" d=\"M 289.582813 458.717812 \n",
       "L 289.582813 261.045085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_59\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"289.582813\" xlink:href=\"#mcda6bd3f14\" y=\"458.717812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_27\">\n",
       "      <!-- 4 -->\n",
       "      <g transform=\"translate(286.401563 473.31625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_6\">\n",
       "    <g id=\"ytick_11\">\n",
       "     <g id=\"line2d_60\">\n",
       "      <path clip-path=\"url(#pec39041107)\" d=\"M 38.482813 442.245085 \n",
       "L 317.482813 442.245085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_61\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mbd99975f06\" y=\"442.245085\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_28\">\n",
       "      <!-- −1.0 -->\n",
       "      <g transform=\"translate(7.2 446.044304)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_12\">\n",
       "     <g id=\"line2d_62\">\n",
       "      <path clip-path=\"url(#pec39041107)\" d=\"M 38.482813 401.063267 \n",
       "L 317.482813 401.063267 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_63\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mbd99975f06\" y=\"401.063267\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_29\">\n",
       "      <!-- −0.5 -->\n",
       "      <g transform=\"translate(7.2 404.862486)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_13\">\n",
       "     <g id=\"line2d_64\">\n",
       "      <path clip-path=\"url(#pec39041107)\" d=\"M 38.482813 359.881449 \n",
       "L 317.482813 359.881449 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_65\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mbd99975f06\" y=\"359.881449\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_30\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(15.579688 363.680668)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_14\">\n",
       "     <g id=\"line2d_66\">\n",
       "      <path clip-path=\"url(#pec39041107)\" d=\"M 38.482813 318.699631 \n",
       "L 317.482813 318.699631 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_67\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mbd99975f06\" y=\"318.699631\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_31\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(15.579688 322.498849)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_15\">\n",
       "     <g id=\"line2d_68\">\n",
       "      <path clip-path=\"url(#pec39041107)\" d=\"M 38.482813 277.517812 \n",
       "L 317.482813 277.517812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_69\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"38.482813\" xlink:href=\"#mbd99975f06\" y=\"277.517812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_32\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(15.579688 281.317031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_70\">\n",
       "    <path clip-path=\"url(#pec39041107)\" d=\"M -1 359.881449 \n",
       "L 373.282813 359.881449 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_71\">\n",
       "    <path clip-path=\"url(#pec39041107)\" d=\"M 177.982813 483.595937 \n",
       "L 177.982813 96.317812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_72\">\n",
       "    <path clip-path=\"url(#pec39041107)\" d=\"M -1 359.747024 \n",
       "L 27.827536 359.506116 \n",
       "L 47.455677 359.129998 \n",
       "L 61.195375 358.666105 \n",
       "L 72.97226 358.056659 \n",
       "L 82.78633 357.336269 \n",
       "L 90.637586 356.577999 \n",
       "L 98.488843 355.621109 \n",
       "L 106.340099 354.432072 \n",
       "L 114.191355 352.984129 \n",
       "L 122.042611 351.26685 \n",
       "L 129.893868 349.299202 \n",
       "L 139.707938 346.589079 \n",
       "L 151.484823 343.315616 \n",
       "L 157.373265 341.862464 \n",
       "L 163.261707 340.65971 \n",
       "L 167.187335 340.042418 \n",
       "L 171.112963 339.599518 \n",
       "L 175.038591 339.347759 \n",
       "L 178.96422 339.296908 \n",
       "L 182.889848 339.44896 \n",
       "L 186.815476 339.797972 \n",
       "L 190.741104 340.330551 \n",
       "L 196.629546 341.428983 \n",
       "L 202.517988 342.809423 \n",
       "L 210.369245 344.921836 \n",
       "L 228.034571 349.812022 \n",
       "L 235.885828 351.721024 \n",
       "L 243.737084 353.371348 \n",
       "L 251.58834 354.752751 \n",
       "L 259.439596 355.880843 \n",
       "L 267.290853 356.784829 \n",
       "L 277.104923 357.651687 \n",
       "L 286.918993 358.286693 \n",
       "L 298.695878 358.821458 \n",
       "L 312.435576 359.227048 \n",
       "L 332.063717 359.554988 \n",
       "L 359.543114 359.758916 \n",
       "L 373.282813 359.80648 \n",
       "L 373.282813 359.80648 \n",
       "\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-width:2;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_13\">\n",
       "    <path d=\"M 38.482813 458.717812 \n",
       "L 38.482813 261.045085 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_14\">\n",
       "    <path d=\"M 317.482813 458.717812 \n",
       "L 317.482813 261.045085 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_15\">\n",
       "    <path d=\"M 38.482813 458.717812 \n",
       "L 317.482813 458.717812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_16\">\n",
       "    <path d=\"M 38.482813 261.045085 \n",
       "L 317.482813 261.045085 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_33\">\n",
       "    <!-- Derivative of the Sigmoid -->\n",
       "    <defs>\n",
       "     <path d=\"M 19.671875 64.796875 \n",
       "L 19.671875 8.109375 \n",
       "L 31.59375 8.109375 \n",
       "Q 46.6875 8.109375 53.6875 14.9375 \n",
       "Q 60.6875 21.78125 60.6875 36.53125 \n",
       "Q 60.6875 51.171875 53.6875 57.984375 \n",
       "Q 46.6875 64.796875 31.59375 64.796875 \n",
       "z\n",
       "M 9.8125 72.90625 \n",
       "L 30.078125 72.90625 \n",
       "Q 51.265625 72.90625 61.171875 64.09375 \n",
       "Q 71.09375 55.28125 71.09375 36.53125 \n",
       "Q 71.09375 17.671875 61.125 8.828125 \n",
       "Q 51.171875 0 30.078125 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-68\"/>\n",
       "     <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "     <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "    </defs>\n",
       "    <g transform=\"translate(88.659531 255.045085)scale(0.14 -0.14)\">\n",
       "     <use xlink:href=\"#DejaVuSans-68\"/>\n",
       "     <use x=\"77.001953\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "     <use x=\"138.525391\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "     <use x=\"179.638672\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"207.421875\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"266.601562\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"327.880859\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"367.089844\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"394.873047\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"454.052734\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "     <use x=\"515.576172\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"547.363281\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"608.544922\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "     <use x=\"643.75\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"675.537109\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"714.746094\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "     <use x=\"778.125\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "     <use x=\"839.648438\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"871.435547\" xlink:href=\"#DejaVuSans-83\"/>\n",
       "     <use x=\"934.912109\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"962.695312\" xlink:href=\"#DejaVuSans-103\"/>\n",
       "     <use x=\"1026.171875\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "     <use x=\"1123.583984\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1184.765625\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"1212.548828\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       "  <g id=\"axes_4\">\n",
       "   <g id=\"patch_17\">\n",
       "    <path d=\"M 373.282812 458.717812 \n",
       "L 652.282812 458.717812 \n",
       "L 652.282812 261.045085 \n",
       "L 373.282812 261.045085 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_7\">\n",
       "    <g id=\"xtick_16\">\n",
       "     <g id=\"line2d_73\">\n",
       "      <path clip-path=\"url(#p6160166f1f)\" d=\"M 401.182812 458.717812 \n",
       "L 401.182812 261.045085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_74\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"401.182812\" xlink:href=\"#mcda6bd3f14\" y=\"458.717812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_34\">\n",
       "      <!-- −4 -->\n",
       "      <g transform=\"translate(393.811719 473.31625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_17\">\n",
       "     <g id=\"line2d_75\">\n",
       "      <path clip-path=\"url(#p6160166f1f)\" d=\"M 456.982812 458.717812 \n",
       "L 456.982812 261.045085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_76\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"456.982812\" xlink:href=\"#mcda6bd3f14\" y=\"458.717812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_35\">\n",
       "      <!-- −2 -->\n",
       "      <g transform=\"translate(449.611719 473.31625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_18\">\n",
       "     <g id=\"line2d_77\">\n",
       "      <path clip-path=\"url(#p6160166f1f)\" d=\"M 512.782812 458.717812 \n",
       "L 512.782812 261.045085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_78\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"512.782812\" xlink:href=\"#mcda6bd3f14\" y=\"458.717812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_36\">\n",
       "      <!-- 0 -->\n",
       "      <g transform=\"translate(509.601562 473.31625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_19\">\n",
       "     <g id=\"line2d_79\">\n",
       "      <path clip-path=\"url(#p6160166f1f)\" d=\"M 568.582813 458.717812 \n",
       "L 568.582813 261.045085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_80\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"568.582813\" xlink:href=\"#mcda6bd3f14\" y=\"458.717812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_37\">\n",
       "      <!-- 2 -->\n",
       "      <g transform=\"translate(565.401563 473.31625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_20\">\n",
       "     <g id=\"line2d_81\">\n",
       "      <path clip-path=\"url(#p6160166f1f)\" d=\"M 624.382812 458.717812 \n",
       "L 624.382812 261.045085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_82\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"624.382812\" xlink:href=\"#mcda6bd3f14\" y=\"458.717812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_38\">\n",
       "      <!-- 4 -->\n",
       "      <g transform=\"translate(621.201563 473.31625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_8\">\n",
       "    <g id=\"ytick_16\">\n",
       "     <g id=\"line2d_83\">\n",
       "      <path clip-path=\"url(#p6160166f1f)\" d=\"M 373.282812 442.245085 \n",
       "L 652.282812 442.245085 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_84\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#mbd99975f06\" y=\"442.245085\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_39\">\n",
       "      <!-- −1.0 -->\n",
       "      <g transform=\"translate(342 446.044304)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_17\">\n",
       "     <g id=\"line2d_85\">\n",
       "      <path clip-path=\"url(#p6160166f1f)\" d=\"M 373.282812 401.063267 \n",
       "L 652.282812 401.063267 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_86\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#mbd99975f06\" y=\"401.063267\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_40\">\n",
       "      <!-- −0.5 -->\n",
       "      <g transform=\"translate(342 404.862486)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-8722\"/>\n",
       "       <use x=\"83.789062\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"147.412109\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_18\">\n",
       "     <g id=\"line2d_87\">\n",
       "      <path clip-path=\"url(#p6160166f1f)\" d=\"M 373.282812 359.881449 \n",
       "L 652.282812 359.881449 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_88\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#mbd99975f06\" y=\"359.881449\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_41\">\n",
       "      <!-- 0.0 -->\n",
       "      <g transform=\"translate(350.379687 363.680668)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_19\">\n",
       "     <g id=\"line2d_89\">\n",
       "      <path clip-path=\"url(#p6160166f1f)\" d=\"M 373.282812 318.699631 \n",
       "L 652.282812 318.699631 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_90\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#mbd99975f06\" y=\"318.699631\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_42\">\n",
       "      <!-- 0.5 -->\n",
       "      <g transform=\"translate(350.379687 322.498849)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_20\">\n",
       "     <g id=\"line2d_91\">\n",
       "      <path clip-path=\"url(#p6160166f1f)\" d=\"M 373.282812 277.517812 \n",
       "L 652.282812 277.517812 \n",
       "\" style=\"fill:none;stroke:#b0b0b0;stroke-linecap:square;stroke-width:0.8;\"/>\n",
       "     </g>\n",
       "     <g id=\"line2d_92\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"373.282812\" xlink:href=\"#mbd99975f06\" y=\"277.517812\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_43\">\n",
       "      <!-- 1.0 -->\n",
       "      <g transform=\"translate(350.379687 281.317031)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_93\">\n",
       "    <path clip-path=\"url(#p6160166f1f)\" d=\"M 317.482812 359.881449 \n",
       "L 660.482812 359.881449 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_94\">\n",
       "    <path clip-path=\"url(#p6160166f1f)\" d=\"M 512.782812 483.595937 \n",
       "L 512.782812 96.317812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_95\">\n",
       "    <path clip-path=\"url(#p6160166f1f)\" d=\"M 317.482812 359.881175 \n",
       "L 399.921003 359.780549 \n",
       "L 415.623516 359.570856 \n",
       "L 425.437586 359.254996 \n",
       "L 433.288843 358.784804 \n",
       "L 439.177285 358.214724 \n",
       "L 443.102913 357.680331 \n",
       "L 447.028541 356.977693 \n",
       "L 450.954169 356.056136 \n",
       "L 454.879797 354.851423 \n",
       "L 458.805426 353.283378 \n",
       "L 460.76824 352.333223 \n",
       "L 462.731054 351.254083 \n",
       "L 464.693868 350.030896 \n",
       "L 466.656682 348.647611 \n",
       "L 468.619496 347.087382 \n",
       "L 470.58231 345.332875 \n",
       "L 472.545124 343.366701 \n",
       "L 474.507938 341.172022 \n",
       "L 476.470752 338.733345 \n",
       "L 478.433566 336.037541 \n",
       "L 480.39638 333.075095 \n",
       "L 482.359194 329.841601 \n",
       "L 484.322008 326.339476 \n",
       "L 488.247637 318.584433 \n",
       "L 492.173265 310.037462 \n",
       "L 498.061707 296.778011 \n",
       "L 500.024521 292.596349 \n",
       "L 501.987335 288.715188 \n",
       "L 503.950149 285.250892 \n",
       "L 505.912963 282.31638 \n",
       "L 507.875777 280.013978 \n",
       "L 509.838591 278.428254 \n",
       "L 511.801405 277.619641 \n",
       "L 513.76422 277.619641 \n",
       "L 515.727034 278.428254 \n",
       "L 517.689848 280.013978 \n",
       "L 519.652662 282.31638 \n",
       "L 521.615476 285.250892 \n",
       "L 523.57829 288.715188 \n",
       "L 525.541104 292.596349 \n",
       "L 529.466732 301.146815 \n",
       "L 535.355174 314.387532 \n",
       "L 539.280802 322.579835 \n",
       "L 541.243617 326.339476 \n",
       "L 543.206431 329.841601 \n",
       "L 545.169245 333.075095 \n",
       "L 547.132059 336.037541 \n",
       "L 549.094873 338.733345 \n",
       "L 551.057687 341.172022 \n",
       "L 553.020501 343.366701 \n",
       "L 554.983315 345.332875 \n",
       "L 556.946129 347.087382 \n",
       "L 558.908943 348.647611 \n",
       "L 560.871757 350.030896 \n",
       "L 562.834571 351.254083 \n",
       "L 564.797385 352.333223 \n",
       "L 568.723014 354.118507 \n",
       "L 572.648642 355.493786 \n",
       "L 576.57427 356.547947 \n",
       "L 580.499898 357.35292 \n",
       "L 584.425526 357.965854 \n",
       "L 590.313968 358.620393 \n",
       "L 596.20241 359.05243 \n",
       "L 604.053667 359.40821 \n",
       "L 615.830551 359.677673 \n",
       "L 633.495878 359.823961 \n",
       "L 660.482812 359.873124 \n",
       "L 660.482812 359.873124 \n",
       "\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-width:2;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_18\">\n",
       "    <path d=\"M 373.282812 458.717812 \n",
       "L 373.282812 261.045085 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_19\">\n",
       "    <path d=\"M 652.282812 458.717812 \n",
       "L 652.282812 261.045085 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_20\">\n",
       "    <path d=\"M 373.282812 458.717812 \n",
       "L 652.282812 458.717812 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_21\">\n",
       "    <path d=\"M 373.282812 261.045085 \n",
       "L 652.282812 261.045085 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_44\">\n",
       "    <!-- Derivative of the Tanh -->\n",
       "    <g transform=\"translate(435.499531 255.045085)scale(0.14 -0.14)\">\n",
       "     <use xlink:href=\"#DejaVuSans-68\"/>\n",
       "     <use x=\"77.001953\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "     <use x=\"138.525391\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "     <use x=\"179.638672\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"207.421875\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"266.601562\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"327.880859\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"367.089844\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"394.873047\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"454.052734\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "     <use x=\"515.576172\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"547.363281\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"608.544922\" xlink:href=\"#DejaVuSans-102\"/>\n",
       "     <use x=\"643.75\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"675.537109\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"714.746094\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "     <use x=\"778.125\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "     <use x=\"839.648438\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"871.435547\" xlink:href=\"#DejaVuSans-84\"/>\n",
       "     <use x=\"916.019531\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"977.298828\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"1040.677734\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pfc76880451\">\n",
       "   <rect height=\"197.672727\" width=\"279\" x=\"38.482813\" y=\"23.837812\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p244f1063d7\">\n",
       "   <rect height=\"197.672727\" width=\"279\" x=\"373.282812\" y=\"23.837812\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"pec39041107\">\n",
       "   <rect height=\"197.672727\" width=\"279\" x=\"38.482813\" y=\"261.045085\"/>\n",
       "  </clipPath>\n",
       "  <clipPath id=\"p6160166f1f\">\n",
       "   <rect height=\"197.672727\" width=\"279\" x=\"373.282812\" y=\"261.045085\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 792x576 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(11,8))\n",
    "\n",
    "plt.subplot(2,2,1)\n",
    "# coordinate \n",
    "plt.plot([-7, 7], [0, 0], 'k-', linewidth=1)\n",
    "plt.plot([0, 0], [-2.2, 3.2], 'k-', linewidth=1)\n",
    "plt.plot([-7,7], [1,1], 'k--', linewidth=1)\n",
    "# Plot sigmoid\n",
    "plt.plot(z, sigmoid(z), \"b-\", linewidth=2, label=\"Sigmoid\")\n",
    "plt.grid(True)\n",
    "plt.title(\"Sigmoid activation function\", fontsize=14)\n",
    "plt.axis([-5, 5, -1.2, 1.2])\n",
    "\n",
    "plt.subplot(2,2,2)\n",
    "# coordinate \n",
    "plt.plot([-7, 7], [0, 0], 'k-', linewidth=1)\n",
    "plt.plot([-5, 5], [-1, -1], 'k--', linewidth=1)\n",
    "plt.plot([0, 0], [-2.2, 3.2], 'k-', linewidth=1)\n",
    "plt.plot([-7,7], [1,1], 'k--', linewidth=1)\n",
    "# Plot\n",
    "plt.plot(z, np.tanh(z), \"b-\", linewidth=2, label=\"Tanh\")\n",
    "plt.grid(True)\n",
    "plt.title(\"Tanh activation function\", fontsize=14)\n",
    "plt.axis([-5, 5, -1.2, 1.2])\n",
    "\n",
    "plt.subplot(2,2,3)\n",
    "plt.plot([-7, 7], [0, 0], 'k-', linewidth=1)\n",
    "plt.plot([0, 0], [-2.2, 3.2], 'k-', linewidth=1)\n",
    "plt.plot(z, derivative(sigmoid, z), \"g-\", linewidth=2, label=\"Sigmoid\")\n",
    "plt.grid(True)\n",
    "plt.title(\"Derivative of the Sigmoid\", fontsize=14)\n",
    "plt.axis([-5, 5, -1.2, 1.2])\n",
    "\n",
    "plt.subplot(2,2,4)\n",
    "# coordinate \n",
    "plt.plot([-7, 7], [0, 0], 'k-', linewidth=1)\n",
    "plt.plot([0, 0], [-2.2, 3.2], 'k-', linewidth=1)\n",
    "# Plot\n",
    "plt.plot(z, derivative(np.tanh, z), \"g-\", linewidth=2, label=\"Tanh\")\n",
    "plt.grid(True)\n",
    "plt.title(\"Derivative of the Tanh\", fontsize=14)\n",
    "plt.axis([-5, 5, -1.2, 1.2])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fashion MMIST dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "fashion_mnist = keras.datasets.fashion_mnist\n",
    "(X_train_full, y_train_full), (X_test, y_test) = keras.datasets.fashion_mnist.load_data()\n",
    "\n",
    "X_train_full = X_train_full / 255.0\n",
    "X_test = X_test / 255.0\n",
    "X_valid, X_train = X_train_full[:5000], X_train_full[5000:]\n",
    "y_valid, y_train = y_train_full[:5000], y_train_full[5000:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(60000, 28, 28)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train_full.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "dtype('float64')"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_train_full.dtype"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Training a deep NN with ReLU\n",
    "\n",
    "Let's first build a deep NN with ReLU and default `kernel_initializer`"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "tf.random.set_seed(42)\n",
    "np.random.seed(42)\n",
    "\n",
    "from tensorflow.keras.models import Sequential\n",
    "from tensorflow.keras.layers import Dense, Flatten\n",
    "\n",
    "def create_model(activation): \n",
    "    # By default, Keras uses Glorot initialization\n",
    "    model = keras.models.Sequential()\n",
    "    model.add(Flatten(input_shape=[28, 28]))\n",
    "    model.add(Dense(300, activation=activation))\n",
    "    for layer in range(49):\n",
    "        model.add(Dense(100, activation=activation))\n",
    "    model.add(Dense(10, activation=\"softmax\"))\n",
    "    \n",
    "    \n",
    "    model.compile(\n",
    "        optimizer='sgd', \n",
    "        loss='sparse_categorical_crossentropy', \n",
    "        metrics=['accuracy']\n",
    "    )\n",
    "    \n",
    "    return model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_relu = create_model(activation = 'relu')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train on 55000 samples, validate on 5000 samples\n",
      "Epoch 1/10\n",
      "55000/55000 [==============================] - 35s 639us/sample - loss: 2.3027 - accuracy: 0.0991 - val_loss: 2.3028 - val_accuracy: 0.0914\n",
      "Epoch 2/10\n",
      "55000/55000 [==============================] - 34s 627us/sample - loss: 2.3027 - accuracy: 0.0979 - val_loss: 2.3029 - val_accuracy: 0.0914\n",
      "Epoch 3/10\n",
      "55000/55000 [==============================] - 34s 620us/sample - loss: 2.3027 - accuracy: 0.1002 - val_loss: 2.3028 - val_accuracy: 0.1008\n",
      "Epoch 4/10\n",
      "55000/55000 [==============================] - 34s 616us/sample - loss: 2.3027 - accuracy: 0.0993 - val_loss: 2.3030 - val_accuracy: 0.0914\n",
      "Epoch 5/10\n",
      "55000/55000 [==============================] - 34s 619us/sample - loss: 2.3027 - accuracy: 0.0977 - val_loss: 2.3028 - val_accuracy: 0.0914\n",
      "Epoch 6/10\n",
      "55000/55000 [==============================] - 33s 597us/sample - loss: 2.3027 - accuracy: 0.0997 - val_loss: 2.3028 - val_accuracy: 0.0980\n",
      "Epoch 7/10\n",
      "55000/55000 [==============================] - 32s 582us/sample - loss: 2.3027 - accuracy: 0.1000 - val_loss: 2.3028 - val_accuracy: 0.0914\n",
      "Epoch 8/10\n",
      "55000/55000 [==============================] - 32s 587us/sample - loss: 2.3027 - accuracy: 0.0990 - val_loss: 2.3028 - val_accuracy: 0.0976\n",
      "Epoch 9/10\n",
      "55000/55000 [==============================] - 34s 623us/sample - loss: 2.3027 - accuracy: 0.0987 - val_loss: 2.3027 - val_accuracy: 0.0980\n",
      "Epoch 10/10\n",
      "55000/55000 [==============================] - 32s 587us/sample - loss: 2.3027 - accuracy: 0.0993 - val_loss: 2.3028 - val_accuracy: 0.0914\n"
     ]
    }
   ],
   "source": [
    "history_relu = model_relu.fit(\n",
    "    X_train, \n",
    "    y_train, \n",
    "    epochs=10,\n",
    "    validation_data=(X_valid, y_valid),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"277.314375pt\" version=\"1.1\" viewBox=\"0 0 398.50625 277.314375\" width=\"398.50625pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 277.314375 \n",
       "L 398.50625 277.314375 \n",
       "L 398.50625 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 56.50625 239.758125 \n",
       "L 391.30625 239.758125 \n",
       "L 391.30625 22.318125 \n",
       "L 56.50625 22.318125 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"m6e4f48a41a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"105.542614\" xlink:href=\"#m6e4f48a41a\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(102.361364 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"173.178977\" xlink:href=\"#m6e4f48a41a\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 4 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(169.997727 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"240.815341\" xlink:href=\"#m6e4f48a41a\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 6 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(237.634091 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"308.451705\" xlink:href=\"#m6e4f48a41a\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 8 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(305.270455 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"376.088068\" xlink:href=\"#m6e4f48a41a\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(369.725568 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_6\">\n",
       "     <!-- Epochs -->\n",
       "     <defs>\n",
       "      <path d=\"M 9.8125 72.90625 \n",
       "L 55.90625 72.90625 \n",
       "L 55.90625 64.59375 \n",
       "L 19.671875 64.59375 \n",
       "L 19.671875 43.015625 \n",
       "L 54.390625 43.015625 \n",
       "L 54.390625 34.71875 \n",
       "L 19.671875 34.71875 \n",
       "L 19.671875 8.296875 \n",
       "L 56.78125 8.296875 \n",
       "L 56.78125 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-69\"/>\n",
       "      <path d=\"M 18.109375 8.203125 \n",
       "L 18.109375 -20.796875 \n",
       "L 9.078125 -20.796875 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.390625 \n",
       "Q 20.953125 51.265625 25.265625 53.625 \n",
       "Q 29.59375 56 35.59375 56 \n",
       "Q 45.5625 56 51.78125 48.09375 \n",
       "Q 58.015625 40.1875 58.015625 27.296875 \n",
       "Q 58.015625 14.40625 51.78125 6.484375 \n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \n",
       "Q 20.953125 3.328125 18.109375 8.203125 \n",
       "z\n",
       "M 48.6875 27.296875 \n",
       "Q 48.6875 37.203125 44.609375 42.84375 \n",
       "Q 40.53125 48.484375 33.40625 48.484375 \n",
       "Q 26.265625 48.484375 22.1875 42.84375 \n",
       "Q 18.109375 37.203125 18.109375 27.296875 \n",
       "Q 18.109375 17.390625 22.1875 11.75 \n",
       "Q 26.265625 6.109375 33.40625 6.109375 \n",
       "Q 40.53125 6.109375 44.609375 11.75 \n",
       "Q 48.6875 17.390625 48.6875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-112\"/>\n",
       "      <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "      <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 75.984375 \n",
       "L 18.109375 75.984375 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-104\"/>\n",
       "      <path d=\"M 44.28125 53.078125 \n",
       "L 44.28125 44.578125 \n",
       "Q 40.484375 46.53125 36.375 47.5 \n",
       "Q 32.28125 48.484375 27.875 48.484375 \n",
       "Q 21.1875 48.484375 17.84375 46.4375 \n",
       "Q 14.5 44.390625 14.5 40.28125 \n",
       "Q 14.5 37.15625 16.890625 35.375 \n",
       "Q 19.28125 33.59375 26.515625 31.984375 \n",
       "L 29.59375 31.296875 \n",
       "Q 39.15625 29.25 43.1875 25.515625 \n",
       "Q 47.21875 21.78125 47.21875 15.09375 \n",
       "Q 47.21875 7.46875 41.1875 3.015625 \n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \n",
       "Q 10.6875 0.296875 5.421875 2 \n",
       "L 5.421875 11.28125 \n",
       "Q 10.40625 8.6875 15.234375 7.390625 \n",
       "Q 20.0625 6.109375 24.8125 6.109375 \n",
       "Q 31.15625 6.109375 34.5625 8.28125 \n",
       "Q 37.984375 10.453125 37.984375 14.40625 \n",
       "Q 37.984375 18.0625 35.515625 20.015625 \n",
       "Q 33.0625 21.96875 24.703125 23.78125 \n",
       "L 21.578125 24.515625 \n",
       "Q 13.234375 26.265625 9.515625 29.90625 \n",
       "Q 5.8125 33.546875 5.8125 39.890625 \n",
       "Q 5.8125 47.609375 11.28125 51.796875 \n",
       "Q 16.75 56 26.8125 56 \n",
       "Q 31.78125 56 36.171875 55.265625 \n",
       "Q 40.578125 54.546875 44.28125 53.078125 \n",
       "z\n",
       "\" id=\"DejaVuSans-115\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(205.990625 268.034687)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-69\"/>\n",
       "      <use x=\"63.183594\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"126.660156\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"187.841797\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"242.822266\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "      <use x=\"306.201172\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m21fba54780\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"56.50625\" xlink:href=\"#m21fba54780\" y=\"217.257031\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0.092 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "       <path d=\"M 10.984375 1.515625 \n",
       "L 10.984375 10.5 \n",
       "Q 14.703125 8.734375 18.5 7.8125 \n",
       "Q 22.3125 6.890625 25.984375 6.890625 \n",
       "Q 35.75 6.890625 40.890625 13.453125 \n",
       "Q 46.046875 20.015625 46.78125 33.40625 \n",
       "Q 43.953125 29.203125 39.59375 26.953125 \n",
       "Q 35.25 24.703125 29.984375 24.703125 \n",
       "Q 19.046875 24.703125 12.671875 31.3125 \n",
       "Q 6.296875 37.9375 6.296875 49.421875 \n",
       "Q 6.296875 60.640625 12.9375 67.421875 \n",
       "Q 19.578125 74.21875 30.609375 74.21875 \n",
       "Q 43.265625 74.21875 49.921875 64.515625 \n",
       "Q 56.59375 54.828125 56.59375 36.375 \n",
       "Q 56.59375 19.140625 48.40625 8.859375 \n",
       "Q 40.234375 -1.421875 26.421875 -1.421875 \n",
       "Q 22.703125 -1.421875 18.890625 -0.6875 \n",
       "Q 15.09375 0.046875 10.984375 1.515625 \n",
       "z\n",
       "M 30.609375 32.421875 \n",
       "Q 37.25 32.421875 41.125 36.953125 \n",
       "Q 45.015625 41.5 45.015625 49.421875 \n",
       "Q 45.015625 57.28125 41.125 61.84375 \n",
       "Q 37.25 66.40625 30.609375 66.40625 \n",
       "Q 23.96875 66.40625 20.09375 61.84375 \n",
       "Q 16.21875 57.28125 16.21875 49.421875 \n",
       "Q 16.21875 41.5 20.09375 36.953125 \n",
       "Q 23.96875 32.421875 30.609375 32.421875 \n",
       "z\n",
       "\" id=\"DejaVuSans-57\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(20.878125 221.05625)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"56.50625\" xlink:href=\"#m21fba54780\" y=\"175.199016\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.094 -->\n",
       "      <g transform=\"translate(20.878125 178.998235)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"56.50625\" xlink:href=\"#m21fba54780\" y=\"133.141001\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.096 -->\n",
       "      <g transform=\"translate(20.878125 136.940219)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"56.50625\" xlink:href=\"#m21fba54780\" y=\"91.082985\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0.098 -->\n",
       "      <g transform=\"translate(20.878125 94.882204)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-57\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"56.50625\" xlink:href=\"#m21fba54780\" y=\"49.02497\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.100 -->\n",
       "      <g transform=\"translate(20.878125 52.824189)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"222.65625\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_12\">\n",
       "     <!-- accuracy -->\n",
       "     <defs>\n",
       "      <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "      <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "      <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "      <path d=\"M 32.171875 -5.078125 \n",
       "Q 28.375 -14.84375 24.75 -17.8125 \n",
       "Q 21.140625 -20.796875 15.09375 -20.796875 \n",
       "L 7.90625 -20.796875 \n",
       "L 7.90625 -13.28125 \n",
       "L 13.1875 -13.28125 \n",
       "Q 16.890625 -13.28125 18.9375 -11.515625 \n",
       "Q 21 -9.765625 23.484375 -3.21875 \n",
       "L 25.09375 0.875 \n",
       "L 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 11.921875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-121\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(14.798437 153.5975)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"61.279297\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"116.259766\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"171.240234\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"234.619141\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"275.732422\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"337.011719\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"391.992188\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_11\">\n",
       "    <path clip-path=\"url(#pcb3b390259)\" d=\"M 71.724432 68.906947 \n",
       "L 105.542614 92.994671 \n",
       "L 139.360795 45.201518 \n",
       "L 173.178977 63.554032 \n",
       "L 206.997159 97.582839 \n",
       "L 240.815341 55.907191 \n",
       "L 274.633523 48.642644 \n",
       "L 308.451705 69.671694 \n",
       "L 342.269886 76.553789 \n",
       "L 376.088068 63.936484 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_12\">\n",
       "    <path clip-path=\"url(#pcb3b390259)\" d=\"M 71.724432 229.874489 \n",
       "L 105.542614 229.874489 \n",
       "L 139.360795 32.201761 \n",
       "L 173.178977 229.874489 \n",
       "L 206.997159 229.874489 \n",
       "L 240.815341 91.083039 \n",
       "L 274.633523 229.874489 \n",
       "L 308.451705 99.494628 \n",
       "L 342.269886 91.083039 \n",
       "L 376.088068 229.874489 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 56.50625 239.758125 \n",
       "L 56.50625 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 391.30625 239.758125 \n",
       "L 391.30625 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 56.50625 239.758125 \n",
       "L 391.30625 239.758125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 56.50625 22.318125 \n",
       "L 391.30625 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_13\">\n",
       "    <!-- Training and validation accuracy -->\n",
       "    <defs>\n",
       "     <path d=\"M -0.296875 72.90625 \n",
       "L 61.375 72.90625 \n",
       "L 61.375 64.59375 \n",
       "L 35.5 64.59375 \n",
       "L 35.5 0 \n",
       "L 25.59375 0 \n",
       "L 25.59375 64.59375 \n",
       "L -0.296875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-84\"/>\n",
       "     <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "     <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "     <path d=\"M 45.40625 27.984375 \n",
       "Q 45.40625 37.75 41.375 43.109375 \n",
       "Q 37.359375 48.484375 30.078125 48.484375 \n",
       "Q 22.859375 48.484375 18.828125 43.109375 \n",
       "Q 14.796875 37.75 14.796875 27.984375 \n",
       "Q 14.796875 18.265625 18.828125 12.890625 \n",
       "Q 22.859375 7.515625 30.078125 7.515625 \n",
       "Q 37.359375 7.515625 41.375 12.890625 \n",
       "Q 45.40625 18.265625 45.40625 27.984375 \n",
       "z\n",
       "M 54.390625 6.78125 \n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \n",
       "Q 42 -20.796875 29.203125 -20.796875 \n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \n",
       "L 12.109375 -9.1875 \n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \n",
       "Q 23.78125 -13.375 27.78125 -13.375 \n",
       "Q 36.625 -13.375 41.015625 -8.765625 \n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \n",
       "L 45.40625 9.625 \n",
       "Q 42.625 4.78125 38.28125 2.390625 \n",
       "Q 33.9375 0 27.875 0 \n",
       "Q 17.828125 0 11.671875 7.65625 \n",
       "Q 5.515625 15.328125 5.515625 27.984375 \n",
       "Q 5.515625 40.671875 11.671875 48.328125 \n",
       "Q 17.828125 56 27.875 56 \n",
       "Q 33.9375 56 38.28125 53.609375 \n",
       "Q 42.625 51.21875 45.40625 46.390625 \n",
       "L 45.40625 54.6875 \n",
       "L 54.390625 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-103\"/>\n",
       "     <path id=\"DejaVuSans-32\"/>\n",
       "     <path d=\"M 45.40625 46.390625 \n",
       "L 45.40625 75.984375 \n",
       "L 54.390625 75.984375 \n",
       "L 54.390625 0 \n",
       "L 45.40625 0 \n",
       "L 45.40625 8.203125 \n",
       "Q 42.578125 3.328125 38.25 0.953125 \n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \n",
       "Q 5.515625 14.40625 5.515625 27.296875 \n",
       "Q 5.515625 40.1875 11.734375 48.09375 \n",
       "Q 17.96875 56 27.875 56 \n",
       "Q 33.9375 56 38.25 53.625 \n",
       "Q 42.578125 51.265625 45.40625 46.390625 \n",
       "z\n",
       "M 14.796875 27.296875 \n",
       "Q 14.796875 17.390625 18.875 11.75 \n",
       "Q 22.953125 6.109375 30.078125 6.109375 \n",
       "Q 37.203125 6.109375 41.296875 11.75 \n",
       "Q 45.40625 17.390625 45.40625 27.296875 \n",
       "Q 45.40625 37.203125 41.296875 42.84375 \n",
       "Q 37.203125 48.484375 30.078125 48.484375 \n",
       "Q 22.953125 48.484375 18.875 42.84375 \n",
       "Q 14.796875 37.203125 14.796875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-100\"/>\n",
       "     <path d=\"M 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 8.796875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "L 35.6875 0 \n",
       "L 23.484375 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-118\"/>\n",
       "     <path d=\"M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-108\"/>\n",
       "     <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "    </defs>\n",
       "    <g transform=\"translate(126.614375 16.318125)scale(0.12 -0.12)\">\n",
       "     <use xlink:href=\"#DejaVuSans-84\"/>\n",
       "     <use x=\"46.333984\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "     <use x=\"87.447266\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"148.726562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"176.509766\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"239.888672\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"267.671875\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"331.050781\" xlink:href=\"#DejaVuSans-103\"/>\n",
       "     <use x=\"394.527344\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"426.314453\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"487.59375\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"550.972656\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "     <use x=\"614.449219\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"646.236328\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"705.416016\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"766.695312\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "     <use x=\"794.478516\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"822.261719\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "     <use x=\"885.738281\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"947.017578\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"986.226562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"1014.009766\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1075.191406\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"1138.570312\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"1170.357422\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"1231.636719\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1286.617188\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1341.597656\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "     <use x=\"1404.976562\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "     <use x=\"1446.089844\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"1507.369141\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1562.349609\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 278.9125 60.230625 \n",
       "L 384.30625 60.230625 \n",
       "Q 386.30625 60.230625 386.30625 58.230625 \n",
       "L 386.30625 29.318125 \n",
       "Q 386.30625 27.318125 384.30625 27.318125 \n",
       "L 278.9125 27.318125 \n",
       "Q 276.9125 27.318125 276.9125 29.318125 \n",
       "L 276.9125 58.230625 \n",
       "Q 276.9125 60.230625 278.9125 60.230625 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_13\">\n",
       "     <path d=\"M 280.9125 35.416562 \n",
       "L 300.9125 35.416562 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_14\"/>\n",
       "    <g id=\"text_14\">\n",
       "     <!-- train_accuracy -->\n",
       "     <defs>\n",
       "      <path d=\"M 50.984375 -16.609375 \n",
       "L 50.984375 -23.578125 \n",
       "L -0.984375 -23.578125 \n",
       "L -0.984375 -16.609375 \n",
       "z\n",
       "\" id=\"DejaVuSans-95\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(308.9125 38.916562)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"141.601562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"169.384766\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"232.763672\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"282.763672\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"344.042969\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"399.023438\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"454.003906\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"517.382812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"558.496094\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"619.775391\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"674.755859\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_15\">\n",
       "     <path d=\"M 280.9125 50.372812 \n",
       "L 300.9125 50.372812 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_16\"/>\n",
       "    <g id=\"text_15\">\n",
       "     <!-- val_accuracy -->\n",
       "     <g transform=\"translate(308.9125 53.872812)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-118\"/>\n",
       "      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"120.458984\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"148.242188\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"198.242188\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"259.521484\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"314.501953\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"369.482422\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"432.861328\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"473.974609\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"535.253906\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"590.234375\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pcb3b390259\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"56.50625\" y=\"22.318125\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_metric(history_relu, 'accuracy')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case, we can see that performance is quite poor on both the train and validation sets achieving around 10% accuracy. This suggests that the model as configured could not learn the problem nor generalize a solution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Train with He initialization and a smaller learning rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "np.random.seed(42)\n",
    "tf.random.set_seed(42)\n",
    "\n",
    "from tensorflow.keras.models import Sequential\n",
    "from tensorflow.keras.layers import Dense, Flatten\n",
    "\n",
    "\n",
    "def create_model(activation, k_init): \n",
    "    model = keras.models.Sequential()\n",
    "    model.add(Flatten(input_shape=[28, 28]))\n",
    "    model.add(Dense(\n",
    "        300, activation=activation, kernel_initializer=k_init))\n",
    "    for layer in range(49):\n",
    "        model.add(Dense(100, activation=activation, kernel_initializer=k_init))\n",
    "    model.add(Dense(10, activation=\"softmax\"))\n",
    "    \n",
    "    model.compile(\n",
    "        optimizer=keras.optimizers.SGD(lr=1e-3), \n",
    "        loss='sparse_categorical_crossentropy', \n",
    "        metrics=['accuracy']\n",
    "    )\n",
    "    \n",
    "    return model\n",
    "\n",
    "model_with_he = create_model(\n",
    "    activation = 'relu', \n",
    "    k_init='he_normal'\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train on 55000 samples, validate on 5000 samples\n",
      "Epoch 1/10\n",
      "55000/55000 [==============================] - 33s 600us/sample - loss: 1.3974 - accuracy: 0.4666 - val_loss: 1.3329 - val_accuracy: 0.5898\n",
      "Epoch 2/10\n",
      "55000/55000 [==============================] - 34s 609us/sample - loss: 0.7728 - accuracy: 0.7079 - val_loss: 0.7561 - val_accuracy: 0.7154\n",
      "Epoch 3/10\n",
      "55000/55000 [==============================] - 33s 596us/sample - loss: 0.6438 - accuracy: 0.7652 - val_loss: 0.6239 - val_accuracy: 0.7694\n",
      "Epoch 4/10\n",
      "55000/55000 [==============================] - 32s 585us/sample - loss: 0.5597 - accuracy: 0.7920 - val_loss: 0.5197 - val_accuracy: 0.8118\n",
      "Epoch 5/10\n",
      "55000/55000 [==============================] - 33s 598us/sample - loss: 0.5120 - accuracy: 0.8142 - val_loss: 0.5267 - val_accuracy: 0.8054\n",
      "Epoch 6/10\n",
      "55000/55000 [==============================] - 33s 599us/sample - loss: 0.4806 - accuracy: 0.8263 - val_loss: 0.4707 - val_accuracy: 0.8302\n",
      "Epoch 7/10\n",
      "55000/55000 [==============================] - 32s 583us/sample - loss: 0.4534 - accuracy: 0.8366 - val_loss: 0.4317 - val_accuracy: 0.8476\n",
      "Epoch 8/10\n",
      "55000/55000 [==============================] - 32s 587us/sample - loss: 0.4351 - accuracy: 0.8432 - val_loss: 0.4394 - val_accuracy: 0.8452\n",
      "Epoch 9/10\n",
      "55000/55000 [==============================] - 32s 585us/sample - loss: 0.4183 - accuracy: 0.8492 - val_loss: 0.4308 - val_accuracy: 0.8476\n",
      "Epoch 10/10\n",
      "55000/55000 [==============================] - 32s 586us/sample - loss: 0.4063 - accuracy: 0.8545 - val_loss: 0.4198 - val_accuracy: 0.8552\n"
     ]
    }
   ],
   "source": [
    "history_relu_he = model_with_he.fit(\n",
    "    X_train, \n",
    "    y_train, \n",
    "    epochs=10,\n",
    "    validation_data=(X_valid, y_valid),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"277.314375pt\" version=\"1.1\" viewBox=\"0 0 392.14375 277.314375\" width=\"392.14375pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 277.314375 \n",
       "L 392.14375 277.314375 \n",
       "L 392.14375 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 50.14375 239.758125 \n",
       "L 384.94375 239.758125 \n",
       "L 384.94375 22.318125 \n",
       "L 50.14375 22.318125 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"ma33553bc1a\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"99.180114\" xlink:href=\"#ma33553bc1a\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(95.998864 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"166.816477\" xlink:href=\"#ma33553bc1a\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 4 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(163.635227 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"234.452841\" xlink:href=\"#ma33553bc1a\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 6 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(231.271591 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"302.089205\" xlink:href=\"#ma33553bc1a\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 8 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(298.907955 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"369.725568\" xlink:href=\"#ma33553bc1a\" y=\"239.758125\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 10 -->\n",
       "      <defs>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(363.363068 254.356562)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-49\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_6\">\n",
       "     <!-- Epochs -->\n",
       "     <defs>\n",
       "      <path d=\"M 9.8125 72.90625 \n",
       "L 55.90625 72.90625 \n",
       "L 55.90625 64.59375 \n",
       "L 19.671875 64.59375 \n",
       "L 19.671875 43.015625 \n",
       "L 54.390625 43.015625 \n",
       "L 54.390625 34.71875 \n",
       "L 19.671875 34.71875 \n",
       "L 19.671875 8.296875 \n",
       "L 56.78125 8.296875 \n",
       "L 56.78125 0 \n",
       "L 9.8125 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-69\"/>\n",
       "      <path d=\"M 18.109375 8.203125 \n",
       "L 18.109375 -20.796875 \n",
       "L 9.078125 -20.796875 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.390625 \n",
       "Q 20.953125 51.265625 25.265625 53.625 \n",
       "Q 29.59375 56 35.59375 56 \n",
       "Q 45.5625 56 51.78125 48.09375 \n",
       "Q 58.015625 40.1875 58.015625 27.296875 \n",
       "Q 58.015625 14.40625 51.78125 6.484375 \n",
       "Q 45.5625 -1.421875 35.59375 -1.421875 \n",
       "Q 29.59375 -1.421875 25.265625 0.953125 \n",
       "Q 20.953125 3.328125 18.109375 8.203125 \n",
       "z\n",
       "M 48.6875 27.296875 \n",
       "Q 48.6875 37.203125 44.609375 42.84375 \n",
       "Q 40.53125 48.484375 33.40625 48.484375 \n",
       "Q 26.265625 48.484375 22.1875 42.84375 \n",
       "Q 18.109375 37.203125 18.109375 27.296875 \n",
       "Q 18.109375 17.390625 22.1875 11.75 \n",
       "Q 26.265625 6.109375 33.40625 6.109375 \n",
       "Q 40.53125 6.109375 44.609375 11.75 \n",
       "Q 48.6875 17.390625 48.6875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-112\"/>\n",
       "      <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "      <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 75.984375 \n",
       "L 18.109375 75.984375 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-104\"/>\n",
       "      <path d=\"M 44.28125 53.078125 \n",
       "L 44.28125 44.578125 \n",
       "Q 40.484375 46.53125 36.375 47.5 \n",
       "Q 32.28125 48.484375 27.875 48.484375 \n",
       "Q 21.1875 48.484375 17.84375 46.4375 \n",
       "Q 14.5 44.390625 14.5 40.28125 \n",
       "Q 14.5 37.15625 16.890625 35.375 \n",
       "Q 19.28125 33.59375 26.515625 31.984375 \n",
       "L 29.59375 31.296875 \n",
       "Q 39.15625 29.25 43.1875 25.515625 \n",
       "Q 47.21875 21.78125 47.21875 15.09375 \n",
       "Q 47.21875 7.46875 41.1875 3.015625 \n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \n",
       "Q 10.6875 0.296875 5.421875 2 \n",
       "L 5.421875 11.28125 \n",
       "Q 10.40625 8.6875 15.234375 7.390625 \n",
       "Q 20.0625 6.109375 24.8125 6.109375 \n",
       "Q 31.15625 6.109375 34.5625 8.28125 \n",
       "Q 37.984375 10.453125 37.984375 14.40625 \n",
       "Q 37.984375 18.0625 35.515625 20.015625 \n",
       "Q 33.0625 21.96875 24.703125 23.78125 \n",
       "L 21.578125 24.515625 \n",
       "Q 13.234375 26.265625 9.515625 29.90625 \n",
       "Q 5.8125 33.546875 5.8125 39.890625 \n",
       "Q 5.8125 47.609375 11.28125 51.796875 \n",
       "Q 16.75 56 26.8125 56 \n",
       "Q 31.78125 56 36.171875 55.265625 \n",
       "Q 40.578125 54.546875 44.28125 53.078125 \n",
       "z\n",
       "\" id=\"DejaVuSans-115\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(199.628125 268.034687)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-69\"/>\n",
       "      <use x=\"63.183594\" xlink:href=\"#DejaVuSans-112\"/>\n",
       "      <use x=\"126.660156\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"187.841797\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"242.822266\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "      <use x=\"306.201172\" xlink:href=\"#DejaVuSans-115\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m9b9916d79c\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m9b9916d79c\" y=\"238.29928\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0.45 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(20.878125 242.098499)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m9b9916d79c\" y=\"212.867701\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.50 -->\n",
       "      <g transform=\"translate(20.878125 216.666919)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m9b9916d79c\" y=\"187.436121\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.55 -->\n",
       "      <g transform=\"translate(20.878125 191.235339)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m9b9916d79c\" y=\"162.004541\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0.60 -->\n",
       "      <g transform=\"translate(20.878125 165.80376)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m9b9916d79c\" y=\"136.572961\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.65 -->\n",
       "      <g transform=\"translate(20.878125 140.37218)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m9b9916d79c\" y=\"111.141381\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.70 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(20.878125 114.9406)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m9b9916d79c\" y=\"85.709802\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 0.75 -->\n",
       "      <g transform=\"translate(20.878125 89.50902)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m9b9916d79c\" y=\"60.278222\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_14\">\n",
       "      <!-- 0.80 -->\n",
       "      <g transform=\"translate(20.878125 64.07744)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_9\">\n",
       "     <g id=\"line2d_14\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"50.14375\" xlink:href=\"#m9b9916d79c\" y=\"34.846642\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_15\">\n",
       "      <!-- 0.85 -->\n",
       "      <g transform=\"translate(20.878125 38.645861)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "       <use x=\"159.033203\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- accuracy -->\n",
       "     <defs>\n",
       "      <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "      <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "      <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "      <path d=\"M 32.171875 -5.078125 \n",
       "Q 28.375 -14.84375 24.75 -17.8125 \n",
       "Q 21.140625 -20.796875 15.09375 -20.796875 \n",
       "L 7.90625 -20.796875 \n",
       "L 7.90625 -13.28125 \n",
       "L 13.1875 -13.28125 \n",
       "Q 16.890625 -13.28125 18.9375 -11.515625 \n",
       "Q 21 -9.765625 23.484375 -3.21875 \n",
       "L 25.09375 0.875 \n",
       "L 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 11.921875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-121\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(14.798438 153.5975)rotate(-90)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"61.279297\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"116.259766\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"171.240234\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"234.619141\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"275.732422\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"337.011719\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"391.992188\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path clip-path=\"url(#p626d81dde5)\" d=\"M 65.361932 229.874489 \n",
       "L 99.180114 107.137053 \n",
       "L 132.998295 77.969345 \n",
       "L 166.816477 64.347277 \n",
       "L 200.634659 53.037168 \n",
       "L 234.452841 46.89659 \n",
       "L 268.271023 41.653056 \n",
       "L 302.089205 38.3146 \n",
       "L 335.907386 35.244295 \n",
       "L 369.725568 32.56241 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path clip-path=\"url(#p626d81dde5)\" d=\"M 65.361932 167.192583 \n",
       "L 99.180114 103.308465 \n",
       "L 132.998295 75.842348 \n",
       "L 166.816477 54.276367 \n",
       "L 200.634659 57.531604 \n",
       "L 234.452841 44.917539 \n",
       "L 268.271023 36.067366 \n",
       "L 302.089205 37.288072 \n",
       "L 335.907386 36.067366 \n",
       "L 369.725568 32.201761 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 50.14375 239.758125 \n",
       "L 50.14375 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 384.94375 239.758125 \n",
       "L 384.94375 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 50.14375 239.758125 \n",
       "L 384.94375 239.758125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 50.14375 22.318125 \n",
       "L 384.94375 22.318125 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"text_17\">\n",
       "    <!-- Training and validation accuracy -->\n",
       "    <defs>\n",
       "     <path d=\"M -0.296875 72.90625 \n",
       "L 61.375 72.90625 \n",
       "L 61.375 64.59375 \n",
       "L 35.5 64.59375 \n",
       "L 35.5 0 \n",
       "L 25.59375 0 \n",
       "L 25.59375 64.59375 \n",
       "L -0.296875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-84\"/>\n",
       "     <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "     <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "     <path d=\"M 45.40625 27.984375 \n",
       "Q 45.40625 37.75 41.375 43.109375 \n",
       "Q 37.359375 48.484375 30.078125 48.484375 \n",
       "Q 22.859375 48.484375 18.828125 43.109375 \n",
       "Q 14.796875 37.75 14.796875 27.984375 \n",
       "Q 14.796875 18.265625 18.828125 12.890625 \n",
       "Q 22.859375 7.515625 30.078125 7.515625 \n",
       "Q 37.359375 7.515625 41.375 12.890625 \n",
       "Q 45.40625 18.265625 45.40625 27.984375 \n",
       "z\n",
       "M 54.390625 6.78125 \n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \n",
       "Q 42 -20.796875 29.203125 -20.796875 \n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \n",
       "L 12.109375 -9.1875 \n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \n",
       "Q 23.78125 -13.375 27.78125 -13.375 \n",
       "Q 36.625 -13.375 41.015625 -8.765625 \n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \n",
       "L 45.40625 9.625 \n",
       "Q 42.625 4.78125 38.28125 2.390625 \n",
       "Q 33.9375 0 27.875 0 \n",
       "Q 17.828125 0 11.671875 7.65625 \n",
       "Q 5.515625 15.328125 5.515625 27.984375 \n",
       "Q 5.515625 40.671875 11.671875 48.328125 \n",
       "Q 17.828125 56 27.875 56 \n",
       "Q 33.9375 56 38.28125 53.609375 \n",
       "Q 42.625 51.21875 45.40625 46.390625 \n",
       "L 45.40625 54.6875 \n",
       "L 54.390625 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-103\"/>\n",
       "     <path id=\"DejaVuSans-32\"/>\n",
       "     <path d=\"M 45.40625 46.390625 \n",
       "L 45.40625 75.984375 \n",
       "L 54.390625 75.984375 \n",
       "L 54.390625 0 \n",
       "L 45.40625 0 \n",
       "L 45.40625 8.203125 \n",
       "Q 42.578125 3.328125 38.25 0.953125 \n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \n",
       "Q 5.515625 14.40625 5.515625 27.296875 \n",
       "Q 5.515625 40.1875 11.734375 48.09375 \n",
       "Q 17.96875 56 27.875 56 \n",
       "Q 33.9375 56 38.25 53.625 \n",
       "Q 42.578125 51.265625 45.40625 46.390625 \n",
       "z\n",
       "M 14.796875 27.296875 \n",
       "Q 14.796875 17.390625 18.875 11.75 \n",
       "Q 22.953125 6.109375 30.078125 6.109375 \n",
       "Q 37.203125 6.109375 41.296875 11.75 \n",
       "Q 45.40625 17.390625 45.40625 27.296875 \n",
       "Q 45.40625 37.203125 41.296875 42.84375 \n",
       "Q 37.203125 48.484375 30.078125 48.484375 \n",
       "Q 22.953125 48.484375 18.875 42.84375 \n",
       "Q 14.796875 37.203125 14.796875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-100\"/>\n",
       "     <path d=\"M 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 8.796875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "L 35.6875 0 \n",
       "L 23.484375 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-118\"/>\n",
       "     <path d=\"M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-108\"/>\n",
       "     <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "    </defs>\n",
       "    <g transform=\"translate(120.251875 16.318125)scale(0.12 -0.12)\">\n",
       "     <use xlink:href=\"#DejaVuSans-84\"/>\n",
       "     <use x=\"46.333984\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "     <use x=\"87.447266\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"148.726562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"176.509766\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"239.888672\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"267.671875\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"331.050781\" xlink:href=\"#DejaVuSans-103\"/>\n",
       "     <use x=\"394.527344\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"426.314453\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"487.59375\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"550.972656\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "     <use x=\"614.449219\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"646.236328\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "     <use x=\"705.416016\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"766.695312\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "     <use x=\"794.478516\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"822.261719\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "     <use x=\"885.738281\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"947.017578\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "     <use x=\"986.226562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "     <use x=\"1014.009766\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "     <use x=\"1075.191406\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "     <use x=\"1138.570312\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "     <use x=\"1170.357422\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"1231.636719\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1286.617188\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1341.597656\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "     <use x=\"1404.976562\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "     <use x=\"1446.089844\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "     <use x=\"1507.369141\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "     <use x=\"1562.349609\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 272.55 234.758125 \n",
       "L 377.94375 234.758125 \n",
       "Q 379.94375 234.758125 379.94375 232.758125 \n",
       "L 379.94375 203.845625 \n",
       "Q 379.94375 201.845625 377.94375 201.845625 \n",
       "L 272.55 201.845625 \n",
       "Q 270.55 201.845625 270.55 203.845625 \n",
       "L 270.55 232.758125 \n",
       "Q 270.55 234.758125 272.55 234.758125 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_17\">\n",
       "     <path d=\"M 274.55 209.944062 \n",
       "L 294.55 209.944062 \n",
       "\" style=\"fill:none;stroke:#1f77b4;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_18\"/>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- train_accuracy -->\n",
       "     <defs>\n",
       "      <path d=\"M 50.984375 -16.609375 \n",
       "L 50.984375 -23.578125 \n",
       "L -0.984375 -23.578125 \n",
       "L -0.984375 -16.609375 \n",
       "z\n",
       "\" id=\"DejaVuSans-95\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(302.55 213.444062)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"80.322266\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"141.601562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"169.384766\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"232.763672\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"282.763672\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"344.042969\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"399.023438\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"454.003906\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"517.382812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"558.496094\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"619.775391\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"674.755859\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_19\">\n",
       "     <path d=\"M 274.55 224.900312 \n",
       "L 294.55 224.900312 \n",
       "\" style=\"fill:none;stroke:#ff7f0e;stroke-linecap:square;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_20\"/>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- val_accuracy -->\n",
       "     <g transform=\"translate(302.55 228.400312)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-118\"/>\n",
       "      <use x=\"59.179688\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"120.458984\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"148.242188\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"198.242188\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"259.521484\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"314.501953\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"369.482422\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"432.861328\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"473.974609\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"535.253906\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"590.234375\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p626d81dde5\">\n",
       "   <rect height=\"217.44\" width=\"334.8\" x=\"50.14375\" y=\"22.318125\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_metric(history_relu_he, 'accuracy')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Comparing to moddels with Sigmoid and Tanh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "tf.random.set_seed(42)\n",
    "np.random.seed(42)\n",
    "\n",
    "from tensorflow.keras.models import Sequential\n",
    "from tensorflow.keras.layers import Dense, Flatten\n",
    "\n",
    "def create_model(activation): \n",
    "    # By default, Keras uses Glorot initialization with a uniform distribution.\n",
    "    model = keras.models.Sequential()\n",
    "    model.add(Flatten(input_shape=[28, 28]))\n",
    "    model.add(Dense(300, activation=activation))\n",
    "    for layer in range(49):\n",
    "        model.add(Dense(100, activation=activation))\n",
    "    model.add(Dense(10, activation=\"softmax\"))\n",
    "     \n",
    "    model.compile(\n",
    "        optimizer=keras.optimizers.SGD(lr=1e-3), \n",
    "        loss='sparse_categorical_crossentropy', \n",
    "        metrics=['accuracy']\n",
    "    )\n",
    "    \n",
    "    return model\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1 Model with Sigmoid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_sigmoid = create_model(activation = 'sigmoid')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train on 55000 samples, validate on 5000 samples\n",
      "Epoch 1/10\n",
      "55000/55000 [==============================] - 39s 702us/sample - loss: 2.3070 - accuracy: 0.0997 - val_loss: 2.3056 - val_accuracy: 0.0976\n",
      "Epoch 2/10\n",
      "55000/55000 [==============================] - 38s 691us/sample - loss: 2.3047 - accuracy: 0.1002 - val_loss: 2.3049 - val_accuracy: 0.1024\n",
      "Epoch 3/10\n",
      "55000/55000 [==============================] - 39s 706us/sample - loss: 2.3048 - accuracy: 0.1005 - val_loss: 2.3051 - val_accuracy: 0.1024\n",
      "Epoch 4/10\n",
      "55000/55000 [==============================] - 39s 707us/sample - loss: 2.3045 - accuracy: 0.1001 - val_loss: 2.3046 - val_accuracy: 0.0986\n",
      "Epoch 5/10\n",
      "55000/55000 [==============================] - 38s 700us/sample - loss: 2.3046 - accuracy: 0.1012 - val_loss: 2.3046 - val_accuracy: 0.1012\n",
      "Epoch 6/10\n",
      "55000/55000 [==============================] - 38s 699us/sample - loss: 2.3045 - accuracy: 0.1020 - val_loss: 2.3041 - val_accuracy: 0.1012\n",
      "Epoch 7/10\n",
      "55000/55000 [==============================] - 39s 702us/sample - loss: 2.3047 - accuracy: 0.0994 - val_loss: 2.3054 - val_accuracy: 0.1112\n",
      "Epoch 8/10\n",
      "55000/55000 [==============================] - 39s 701us/sample - loss: 2.3046 - accuracy: 0.0992 - val_loss: 2.3060 - val_accuracy: 0.1008\n",
      "Epoch 9/10\n",
      "55000/55000 [==============================] - 39s 703us/sample - loss: 2.3047 - accuracy: 0.1004 - val_loss: 2.3049 - val_accuracy: 0.0980\n",
      "Epoch 10/10\n",
      "55000/55000 [==============================] - 38s 697us/sample - loss: 2.3047 - accuracy: 0.0987 - val_loss: 2.3037 - val_accuracy: 0.0986\n"
     ]
    }
   ],
   "source": [
    "history_sigmoid = model_sigmoid.fit(\n",
    "    X_train, \n",
    "    y_train, \n",
    "    epochs=10,\n",
    "    validation_data=(X_valid, y_valid),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.2 Model with Tanh"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_tanh = create_model(activation = 'tanh')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train on 55000 samples, validate on 5000 samples\n",
      "Epoch 1/10\n",
      "55000/55000 [==============================] - 41s 750us/sample - loss: 1.3429 - accuracy: 0.5505 - val_loss: 0.9464 - val_accuracy: 0.6960\n",
      "Epoch 2/10\n",
      "55000/55000 [==============================] - 40s 735us/sample - loss: 0.8320 - accuracy: 0.7037 - val_loss: 0.7531 - val_accuracy: 0.7298\n",
      "Epoch 3/10\n",
      "55000/55000 [==============================] - 39s 709us/sample - loss: 0.6943 - accuracy: 0.7383 - val_loss: 0.6389 - val_accuracy: 0.7572\n",
      "Epoch 4/10\n",
      "55000/55000 [==============================] - 39s 711us/sample - loss: 0.6333 - accuracy: 0.7588 - val_loss: 0.5926 - val_accuracy: 0.7770\n",
      "Epoch 5/10\n",
      "55000/55000 [==============================] - 39s 706us/sample - loss: 0.5949 - accuracy: 0.7748 - val_loss: 0.5726 - val_accuracy: 0.7896\n",
      "Epoch 6/10\n",
      "55000/55000 [==============================] - 39s 707us/sample - loss: 0.5659 - accuracy: 0.7895 - val_loss: 0.5433 - val_accuracy: 0.7972\n",
      "Epoch 7/10\n",
      "55000/55000 [==============================] - 39s 706us/sample - loss: 0.5420 - accuracy: 0.8030 - val_loss: 0.5295 - val_accuracy: 0.8106\n",
      "Epoch 8/10\n",
      "55000/55000 [==============================] - 39s 709us/sample - loss: 0.5201 - accuracy: 0.8152 - val_loss: 0.5033 - val_accuracy: 0.8278\n",
      "Epoch 9/10\n",
      "55000/55000 [==============================] - 39s 705us/sample - loss: 0.4966 - accuracy: 0.8273 - val_loss: 0.4982 - val_accuracy: 0.8260\n",
      "Epoch 10/10\n",
      "55000/55000 [==============================] - 39s 703us/sample - loss: 0.4781 - accuracy: 0.8364 - val_loss: 0.4658 - val_accuracy: 0.8432\n"
     ]
    }
   ],
   "source": [
    "history_tanh = model_tanh.fit(\n",
    "    X_train, \n",
    "    y_train, \n",
    "    epochs=10,\n",
    "    validation_data=(X_valid, y_valid),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Created with matplotlib (https://matplotlib.org/) -->\n",
       "<svg height=\"357.238125pt\" version=\"1.1\" viewBox=\"0 0 595.303125 357.238125\" width=\"595.303125pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       " <defs>\n",
       "  <style type=\"text/css\">\n",
       "*{stroke-linecap:butt;stroke-linejoin:round;}\n",
       "  </style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M -0 357.238125 \n",
       "L 595.303125 357.238125 \n",
       "L 595.303125 0 \n",
       "L -0 0 \n",
       "z\n",
       "\" style=\"fill:none;\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 30.103125 333.36 \n",
       "L 588.103125 333.36 \n",
       "L 588.103125 7.2 \n",
       "L 30.103125 7.2 \n",
       "z\n",
       "\" style=\"fill:#ffffff;\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\">\n",
       "     <g id=\"line2d_1\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L 0 3.5 \n",
       "\" id=\"md73713e9cd\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"55.466761\" xlink:href=\"#md73713e9cd\" y=\"333.36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_1\">\n",
       "      <!-- 0 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 66.40625 \n",
       "Q 24.171875 66.40625 20.328125 58.90625 \n",
       "Q 16.5 51.421875 16.5 36.375 \n",
       "Q 16.5 21.390625 20.328125 13.890625 \n",
       "Q 24.171875 6.390625 31.78125 6.390625 \n",
       "Q 39.453125 6.390625 43.28125 13.890625 \n",
       "Q 47.125 21.390625 47.125 36.375 \n",
       "Q 47.125 51.421875 43.28125 58.90625 \n",
       "Q 39.453125 66.40625 31.78125 66.40625 \n",
       "z\n",
       "M 31.78125 74.21875 \n",
       "Q 44.046875 74.21875 50.515625 64.515625 \n",
       "Q 56.984375 54.828125 56.984375 36.375 \n",
       "Q 56.984375 17.96875 50.515625 8.265625 \n",
       "Q 44.046875 -1.421875 31.78125 -1.421875 \n",
       "Q 19.53125 -1.421875 13.0625 8.265625 \n",
       "Q 6.59375 17.96875 6.59375 36.375 \n",
       "Q 6.59375 54.828125 13.0625 64.515625 \n",
       "Q 19.53125 74.21875 31.78125 74.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-48\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(52.285511 347.958438)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_2\">\n",
       "     <g id=\"line2d_2\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"168.194034\" xlink:href=\"#md73713e9cd\" y=\"333.36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_2\">\n",
       "      <!-- 2 -->\n",
       "      <defs>\n",
       "       <path d=\"M 19.1875 8.296875 \n",
       "L 53.609375 8.296875 \n",
       "L 53.609375 0 \n",
       "L 7.328125 0 \n",
       "L 7.328125 8.296875 \n",
       "Q 12.9375 14.109375 22.625 23.890625 \n",
       "Q 32.328125 33.6875 34.8125 36.53125 \n",
       "Q 39.546875 41.84375 41.421875 45.53125 \n",
       "Q 43.3125 49.21875 43.3125 52.78125 \n",
       "Q 43.3125 58.59375 39.234375 62.25 \n",
       "Q 35.15625 65.921875 28.609375 65.921875 \n",
       "Q 23.96875 65.921875 18.8125 64.3125 \n",
       "Q 13.671875 62.703125 7.8125 59.421875 \n",
       "L 7.8125 69.390625 \n",
       "Q 13.765625 71.78125 18.9375 73 \n",
       "Q 24.125 74.21875 28.421875 74.21875 \n",
       "Q 39.75 74.21875 46.484375 68.546875 \n",
       "Q 53.21875 62.890625 53.21875 53.421875 \n",
       "Q 53.21875 48.921875 51.53125 44.890625 \n",
       "Q 49.859375 40.875 45.40625 35.40625 \n",
       "Q 44.1875 33.984375 37.640625 27.21875 \n",
       "Q 31.109375 20.453125 19.1875 8.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-50\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(165.012784 347.958438)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_3\">\n",
       "     <g id=\"line2d_3\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"280.921307\" xlink:href=\"#md73713e9cd\" y=\"333.36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_3\">\n",
       "      <!-- 4 -->\n",
       "      <defs>\n",
       "       <path d=\"M 37.796875 64.3125 \n",
       "L 12.890625 25.390625 \n",
       "L 37.796875 25.390625 \n",
       "z\n",
       "M 35.203125 72.90625 \n",
       "L 47.609375 72.90625 \n",
       "L 47.609375 25.390625 \n",
       "L 58.015625 25.390625 \n",
       "L 58.015625 17.1875 \n",
       "L 47.609375 17.1875 \n",
       "L 47.609375 0 \n",
       "L 37.796875 0 \n",
       "L 37.796875 17.1875 \n",
       "L 4.890625 17.1875 \n",
       "L 4.890625 26.703125 \n",
       "z\n",
       "\" id=\"DejaVuSans-52\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(277.740057 347.958438)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_4\">\n",
       "     <g id=\"line2d_4\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"393.64858\" xlink:href=\"#md73713e9cd\" y=\"333.36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_4\">\n",
       "      <!-- 6 -->\n",
       "      <defs>\n",
       "       <path d=\"M 33.015625 40.375 \n",
       "Q 26.375 40.375 22.484375 35.828125 \n",
       "Q 18.609375 31.296875 18.609375 23.390625 \n",
       "Q 18.609375 15.53125 22.484375 10.953125 \n",
       "Q 26.375 6.390625 33.015625 6.390625 \n",
       "Q 39.65625 6.390625 43.53125 10.953125 \n",
       "Q 47.40625 15.53125 47.40625 23.390625 \n",
       "Q 47.40625 31.296875 43.53125 35.828125 \n",
       "Q 39.65625 40.375 33.015625 40.375 \n",
       "z\n",
       "M 52.59375 71.296875 \n",
       "L 52.59375 62.3125 \n",
       "Q 48.875 64.0625 45.09375 64.984375 \n",
       "Q 41.3125 65.921875 37.59375 65.921875 \n",
       "Q 27.828125 65.921875 22.671875 59.328125 \n",
       "Q 17.53125 52.734375 16.796875 39.40625 \n",
       "Q 19.671875 43.65625 24.015625 45.921875 \n",
       "Q 28.375 48.1875 33.59375 48.1875 \n",
       "Q 44.578125 48.1875 50.953125 41.515625 \n",
       "Q 57.328125 34.859375 57.328125 23.390625 \n",
       "Q 57.328125 12.15625 50.6875 5.359375 \n",
       "Q 44.046875 -1.421875 33.015625 -1.421875 \n",
       "Q 20.359375 -1.421875 13.671875 8.265625 \n",
       "Q 6.984375 17.96875 6.984375 36.375 \n",
       "Q 6.984375 53.65625 15.1875 63.9375 \n",
       "Q 23.390625 74.21875 37.203125 74.21875 \n",
       "Q 40.921875 74.21875 44.703125 73.484375 \n",
       "Q 48.484375 72.75 52.59375 71.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-54\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(390.46733 347.958438)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"xtick_5\">\n",
       "     <g id=\"line2d_5\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"506.375852\" xlink:href=\"#md73713e9cd\" y=\"333.36\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_5\">\n",
       "      <!-- 8 -->\n",
       "      <defs>\n",
       "       <path d=\"M 31.78125 34.625 \n",
       "Q 24.75 34.625 20.71875 30.859375 \n",
       "Q 16.703125 27.09375 16.703125 20.515625 \n",
       "Q 16.703125 13.921875 20.71875 10.15625 \n",
       "Q 24.75 6.390625 31.78125 6.390625 \n",
       "Q 38.8125 6.390625 42.859375 10.171875 \n",
       "Q 46.921875 13.96875 46.921875 20.515625 \n",
       "Q 46.921875 27.09375 42.890625 30.859375 \n",
       "Q 38.875 34.625 31.78125 34.625 \n",
       "z\n",
       "M 21.921875 38.8125 \n",
       "Q 15.578125 40.375 12.03125 44.71875 \n",
       "Q 8.5 49.078125 8.5 55.328125 \n",
       "Q 8.5 64.0625 14.71875 69.140625 \n",
       "Q 20.953125 74.21875 31.78125 74.21875 \n",
       "Q 42.671875 74.21875 48.875 69.140625 \n",
       "Q 55.078125 64.0625 55.078125 55.328125 \n",
       "Q 55.078125 49.078125 51.53125 44.71875 \n",
       "Q 48 40.375 41.703125 38.8125 \n",
       "Q 48.828125 37.15625 52.796875 32.3125 \n",
       "Q 56.78125 27.484375 56.78125 20.515625 \n",
       "Q 56.78125 9.90625 50.3125 4.234375 \n",
       "Q 43.84375 -1.421875 31.78125 -1.421875 \n",
       "Q 19.734375 -1.421875 13.25 4.234375 \n",
       "Q 6.78125 9.90625 6.78125 20.515625 \n",
       "Q 6.78125 27.484375 10.78125 32.3125 \n",
       "Q 14.796875 37.15625 21.921875 38.8125 \n",
       "z\n",
       "M 18.3125 54.390625 \n",
       "Q 18.3125 48.734375 21.84375 45.5625 \n",
       "Q 25.390625 42.390625 31.78125 42.390625 \n",
       "Q 38.140625 42.390625 41.71875 45.5625 \n",
       "Q 45.3125 48.734375 45.3125 54.390625 \n",
       "Q 45.3125 60.0625 41.71875 63.234375 \n",
       "Q 38.140625 66.40625 31.78125 66.40625 \n",
       "Q 25.390625 66.40625 21.84375 63.234375 \n",
       "Q 18.3125 60.0625 18.3125 54.390625 \n",
       "z\n",
       "\" id=\"DejaVuSans-56\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(503.194602 347.958438)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\">\n",
       "     <g id=\"line2d_6\">\n",
       "      <defs>\n",
       "       <path d=\"M 0 0 \n",
       "L -3.5 0 \n",
       "\" id=\"m28102596be\" style=\"stroke:#000000;stroke-width:0.8;\"/>\n",
       "      </defs>\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m28102596be\" y=\"315.196003\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_6\">\n",
       "      <!-- 0.1 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.6875 12.40625 \n",
       "L 21 12.40625 \n",
       "L 21 0 \n",
       "L 10.6875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-46\"/>\n",
       "       <path d=\"M 12.40625 8.296875 \n",
       "L 28.515625 8.296875 \n",
       "L 28.515625 63.921875 \n",
       "L 10.984375 60.40625 \n",
       "L 10.984375 69.390625 \n",
       "L 28.421875 72.90625 \n",
       "L 38.28125 72.90625 \n",
       "L 38.28125 8.296875 \n",
       "L 54.390625 8.296875 \n",
       "L 54.390625 0 \n",
       "L 12.40625 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-49\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 318.995221)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-49\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_2\">\n",
       "     <g id=\"line2d_7\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m28102596be\" y=\"276.37575\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_7\">\n",
       "      <!-- 0.2 -->\n",
       "      <g transform=\"translate(7.2 280.174968)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_3\">\n",
       "     <g id=\"line2d_8\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m28102596be\" y=\"237.555497\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_8\">\n",
       "      <!-- 0.3 -->\n",
       "      <defs>\n",
       "       <path d=\"M 40.578125 39.3125 \n",
       "Q 47.65625 37.796875 51.625 33 \n",
       "Q 55.609375 28.21875 55.609375 21.1875 \n",
       "Q 55.609375 10.40625 48.1875 4.484375 \n",
       "Q 40.765625 -1.421875 27.09375 -1.421875 \n",
       "Q 22.515625 -1.421875 17.65625 -0.515625 \n",
       "Q 12.796875 0.390625 7.625 2.203125 \n",
       "L 7.625 11.71875 \n",
       "Q 11.71875 9.328125 16.59375 8.109375 \n",
       "Q 21.484375 6.890625 26.8125 6.890625 \n",
       "Q 36.078125 6.890625 40.9375 10.546875 \n",
       "Q 45.796875 14.203125 45.796875 21.1875 \n",
       "Q 45.796875 27.640625 41.28125 31.265625 \n",
       "Q 36.765625 34.90625 28.71875 34.90625 \n",
       "L 20.21875 34.90625 \n",
       "L 20.21875 43.015625 \n",
       "L 29.109375 43.015625 \n",
       "Q 36.375 43.015625 40.234375 45.921875 \n",
       "Q 44.09375 48.828125 44.09375 54.296875 \n",
       "Q 44.09375 59.90625 40.109375 62.90625 \n",
       "Q 36.140625 65.921875 28.71875 65.921875 \n",
       "Q 24.65625 65.921875 20.015625 65.03125 \n",
       "Q 15.375 64.15625 9.8125 62.3125 \n",
       "L 9.8125 71.09375 \n",
       "Q 15.4375 72.65625 20.34375 73.4375 \n",
       "Q 25.25 74.21875 29.59375 74.21875 \n",
       "Q 40.828125 74.21875 47.359375 69.109375 \n",
       "Q 53.90625 64.015625 53.90625 55.328125 \n",
       "Q 53.90625 49.265625 50.4375 45.09375 \n",
       "Q 46.96875 40.921875 40.578125 39.3125 \n",
       "z\n",
       "\" id=\"DejaVuSans-51\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 241.354715)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-51\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_4\">\n",
       "     <g id=\"line2d_9\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m28102596be\" y=\"198.735244\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_9\">\n",
       "      <!-- 0.4 -->\n",
       "      <g transform=\"translate(7.2 202.534462)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_5\">\n",
       "     <g id=\"line2d_10\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m28102596be\" y=\"159.914991\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_10\">\n",
       "      <!-- 0.5 -->\n",
       "      <defs>\n",
       "       <path d=\"M 10.796875 72.90625 \n",
       "L 49.515625 72.90625 \n",
       "L 49.515625 64.59375 \n",
       "L 19.828125 64.59375 \n",
       "L 19.828125 46.734375 \n",
       "Q 21.96875 47.46875 24.109375 47.828125 \n",
       "Q 26.265625 48.1875 28.421875 48.1875 \n",
       "Q 40.625 48.1875 47.75 41.5 \n",
       "Q 54.890625 34.8125 54.890625 23.390625 \n",
       "Q 54.890625 11.625 47.5625 5.09375 \n",
       "Q 40.234375 -1.421875 26.90625 -1.421875 \n",
       "Q 22.3125 -1.421875 17.546875 -0.640625 \n",
       "Q 12.796875 0.140625 7.71875 1.703125 \n",
       "L 7.71875 11.625 \n",
       "Q 12.109375 9.234375 16.796875 8.0625 \n",
       "Q 21.484375 6.890625 26.703125 6.890625 \n",
       "Q 35.15625 6.890625 40.078125 11.328125 \n",
       "Q 45.015625 15.765625 45.015625 23.390625 \n",
       "Q 45.015625 31 40.078125 35.4375 \n",
       "Q 35.15625 39.890625 26.703125 39.890625 \n",
       "Q 22.75 39.890625 18.8125 39.015625 \n",
       "Q 14.890625 38.140625 10.796875 36.28125 \n",
       "z\n",
       "\" id=\"DejaVuSans-53\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 163.714209)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-53\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_6\">\n",
       "     <g id=\"line2d_11\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m28102596be\" y=\"121.094737\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_11\">\n",
       "      <!-- 0.6 -->\n",
       "      <g transform=\"translate(7.2 124.893956)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-54\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_7\">\n",
       "     <g id=\"line2d_12\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m28102596be\" y=\"82.274484\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_12\">\n",
       "      <!-- 0.7 -->\n",
       "      <defs>\n",
       "       <path d=\"M 8.203125 72.90625 \n",
       "L 55.078125 72.90625 \n",
       "L 55.078125 68.703125 \n",
       "L 28.609375 0 \n",
       "L 18.3125 0 \n",
       "L 43.21875 64.59375 \n",
       "L 8.203125 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-55\"/>\n",
       "      </defs>\n",
       "      <g transform=\"translate(7.2 86.073703)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-55\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_8\">\n",
       "     <g id=\"line2d_13\">\n",
       "      <g>\n",
       "       <use style=\"stroke:#000000;stroke-width:0.8;\" x=\"30.103125\" xlink:href=\"#m28102596be\" y=\"43.454231\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "     <g id=\"text_13\">\n",
       "      <!-- 0.8 -->\n",
       "      <g transform=\"translate(7.2 47.25345)scale(0.1 -0.1)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"63.623047\" xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"95.410156\" xlink:href=\"#DejaVuSans-56\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_14\">\n",
       "    <path clip-path=\"url(#paa990b7e8b)\" d=\"M 55.466761 315.563031 \n",
       "L 111.830398 316.007698 \n",
       "L 168.194034 315.125421 \n",
       "L 224.55767 315.464214 \n",
       "L 280.921307 316.092397 \n",
       "L 337.284943 315.323051 \n",
       "L 393.64858 315.188945 \n",
       "L 450.012216 315.577148 \n",
       "L 506.375852 315.704194 \n",
       "L 562.739489 315.471274 \n",
       "\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"mb97b38516c\" style=\"stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#paa990b7e8b)\">\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"55.466761\" xlink:href=\"#mb97b38516c\" y=\"315.563031\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"111.830398\" xlink:href=\"#mb97b38516c\" y=\"316.007698\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"168.194034\" xlink:href=\"#mb97b38516c\" y=\"315.125421\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"224.55767\" xlink:href=\"#mb97b38516c\" y=\"315.464214\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"280.921307\" xlink:href=\"#mb97b38516c\" y=\"316.092397\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"337.284943\" xlink:href=\"#mb97b38516c\" y=\"315.323051\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"393.64858\" xlink:href=\"#mb97b38516c\" y=\"315.188945\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"450.012216\" xlink:href=\"#mb97b38516c\" y=\"315.577148\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"506.375852\" xlink:href=\"#mb97b38516c\" y=\"315.704194\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"562.739489\" xlink:href=\"#mb97b38516c\" y=\"315.471274\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_15\">\n",
       "    <path clip-path=\"url(#paa990b7e8b)\" d=\"M 55.466761 318.534545 \n",
       "L 111.830398 318.534545 \n",
       "L 168.194034 314.885441 \n",
       "L 224.55767 318.534545 \n",
       "L 280.921307 318.534545 \n",
       "L 337.284943 315.972409 \n",
       "L 393.64858 318.534545 \n",
       "L 450.012216 316.12769 \n",
       "L 506.375852 315.972409 \n",
       "L 562.739489 318.534545 \n",
       "\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -0.673542 -0.927051 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.089814 0.354102 \n",
       "L -1.763356 2.427051 \n",
       "L -0 1.145898 \n",
       "L 1.763356 2.427051 \n",
       "L 1.089814 0.354102 \n",
       "L 2.85317 -0.927051 \n",
       "L 0.673542 -0.927051 \n",
       "z\n",
       "\" id=\"mab6b50abd3\" style=\"stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#paa990b7e8b)\">\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"55.466761\" xlink:href=\"#mab6b50abd3\" y=\"318.534545\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"111.830398\" xlink:href=\"#mab6b50abd3\" y=\"318.534545\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"168.194034\" xlink:href=\"#mab6b50abd3\" y=\"314.885441\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"224.55767\" xlink:href=\"#mab6b50abd3\" y=\"318.534545\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"280.921307\" xlink:href=\"#mab6b50abd3\" y=\"318.534545\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"337.284943\" xlink:href=\"#mab6b50abd3\" y=\"315.972409\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"393.64858\" xlink:href=\"#mab6b50abd3\" y=\"318.534545\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"450.012216\" xlink:href=\"#mab6b50abd3\" y=\"316.12769\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"506.375852\" xlink:href=\"#mab6b50abd3\" y=\"315.972409\"/>\n",
       "     <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"562.739489\" xlink:href=\"#mab6b50abd3\" y=\"318.534545\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_16\">\n",
       "    <path clip-path=\"url(#paa990b7e8b)\" d=\"M 55.466761 172.895069 \n",
       "L 111.830398 79.218264 \n",
       "L 168.194034 56.956615 \n",
       "L 224.55767 46.559853 \n",
       "L 280.921307 37.927647 \n",
       "L 337.284943 33.240978 \n",
       "L 393.64858 29.238959 \n",
       "L 450.012216 26.690952 \n",
       "L 506.375852 24.347606 \n",
       "L 562.739489 22.300712 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"mb7657a9370\" style=\"stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#paa990b7e8b)\">\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"55.466761\" xlink:href=\"#mb7657a9370\" y=\"172.895069\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"111.830398\" xlink:href=\"#mb7657a9370\" y=\"79.218264\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"168.194034\" xlink:href=\"#mb7657a9370\" y=\"56.956615\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"224.55767\" xlink:href=\"#mb7657a9370\" y=\"46.559853\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"280.921307\" xlink:href=\"#mb7657a9370\" y=\"37.927647\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"337.284943\" xlink:href=\"#mb7657a9370\" y=\"33.240978\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"393.64858\" xlink:href=\"#mb7657a9370\" y=\"29.238959\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"450.012216\" xlink:href=\"#mb7657a9370\" y=\"26.690952\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"506.375852\" xlink:href=\"#mb7657a9370\" y=\"24.347606\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"562.739489\" xlink:href=\"#mb7657a9370\" y=\"22.300712\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_17\">\n",
       "    <path clip-path=\"url(#paa990b7e8b)\" d=\"M 55.466761 125.054403 \n",
       "L 111.830398 76.296173 \n",
       "L 168.194034 55.333229 \n",
       "L 224.55767 38.87344 \n",
       "L 280.921307 41.357932 \n",
       "L 337.284943 31.730509 \n",
       "L 393.64858 24.975797 \n",
       "L 450.012216 25.907476 \n",
       "L 506.375852 24.975797 \n",
       "L 562.739489 22.025455 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -0.673542 -0.927051 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.089814 0.354102 \n",
       "L -1.763356 2.427051 \n",
       "L -0 1.145898 \n",
       "L 1.763356 2.427051 \n",
       "L 1.089814 0.354102 \n",
       "L 2.85317 -0.927051 \n",
       "L 0.673542 -0.927051 \n",
       "z\n",
       "\" id=\"mfe129c8cc8\" style=\"stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#paa990b7e8b)\">\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"55.466761\" xlink:href=\"#mfe129c8cc8\" y=\"125.054403\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"111.830398\" xlink:href=\"#mfe129c8cc8\" y=\"76.296173\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"168.194034\" xlink:href=\"#mfe129c8cc8\" y=\"55.333229\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"224.55767\" xlink:href=\"#mfe129c8cc8\" y=\"38.87344\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"280.921307\" xlink:href=\"#mfe129c8cc8\" y=\"41.357932\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"337.284943\" xlink:href=\"#mfe129c8cc8\" y=\"31.730509\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"393.64858\" xlink:href=\"#mfe129c8cc8\" y=\"24.975797\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"450.012216\" xlink:href=\"#mfe129c8cc8\" y=\"25.907476\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"506.375852\" xlink:href=\"#mfe129c8cc8\" y=\"24.975797\"/>\n",
       "     <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"562.739489\" xlink:href=\"#mfe129c8cc8\" y=\"22.025455\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_18\">\n",
       "    <path clip-path=\"url(#paa990b7e8b)\" d=\"M 55.466761 315.323051 \n",
       "L 111.830398 315.111303 \n",
       "L 168.194034 314.984257 \n",
       "L 224.55767 315.174827 \n",
       "L 280.921307 314.723103 \n",
       "L 337.284943 314.426656 \n",
       "L 393.64858 315.414807 \n",
       "L 450.012216 315.492449 \n",
       "L 506.375852 315.054839 \n",
       "L 562.739489 315.711254 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"m4411e120b9\" style=\"stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#paa990b7e8b)\">\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"55.466761\" xlink:href=\"#m4411e120b9\" y=\"315.323051\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"111.830398\" xlink:href=\"#m4411e120b9\" y=\"315.111303\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"168.194034\" xlink:href=\"#m4411e120b9\" y=\"314.984257\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"224.55767\" xlink:href=\"#m4411e120b9\" y=\"315.174827\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"280.921307\" xlink:href=\"#m4411e120b9\" y=\"314.723103\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"337.284943\" xlink:href=\"#m4411e120b9\" y=\"314.426656\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"393.64858\" xlink:href=\"#m4411e120b9\" y=\"315.414807\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"450.012216\" xlink:href=\"#m4411e120b9\" y=\"315.492449\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"506.375852\" xlink:href=\"#m4411e120b9\" y=\"315.054839\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"562.739489\" xlink:href=\"#m4411e120b9\" y=\"315.711254\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_19\">\n",
       "    <path clip-path=\"url(#paa990b7e8b)\" d=\"M 55.466761 316.12769 \n",
       "L 111.830398 314.264318 \n",
       "L 168.194034 314.264318 \n",
       "L 224.55767 315.739486 \n",
       "L 280.921307 314.73016 \n",
       "L 337.284943 314.73016 \n",
       "L 393.64858 310.848135 \n",
       "L 450.012216 314.885441 \n",
       "L 506.375852 315.972409 \n",
       "L 562.739489 315.739486 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -0.673542 -0.927051 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.089814 0.354102 \n",
       "L -1.763356 2.427051 \n",
       "L -0 1.145898 \n",
       "L 1.763356 2.427051 \n",
       "L 1.089814 0.354102 \n",
       "L 2.85317 -0.927051 \n",
       "L 0.673542 -0.927051 \n",
       "z\n",
       "\" id=\"mceb1c33021\" style=\"stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#paa990b7e8b)\">\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"55.466761\" xlink:href=\"#mceb1c33021\" y=\"316.12769\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"111.830398\" xlink:href=\"#mceb1c33021\" y=\"314.264318\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"168.194034\" xlink:href=\"#mceb1c33021\" y=\"314.264318\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"224.55767\" xlink:href=\"#mceb1c33021\" y=\"315.739486\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"280.921307\" xlink:href=\"#mceb1c33021\" y=\"314.73016\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"337.284943\" xlink:href=\"#mceb1c33021\" y=\"314.73016\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"393.64858\" xlink:href=\"#mceb1c33021\" y=\"310.848135\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"450.012216\" xlink:href=\"#mceb1c33021\" y=\"314.885441\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"506.375852\" xlink:href=\"#mceb1c33021\" y=\"315.972409\"/>\n",
       "     <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"562.739489\" xlink:href=\"#mceb1c33021\" y=\"315.739486\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_20\">\n",
       "    <path clip-path=\"url(#paa990b7e8b)\" d=\"M 55.466761 140.300175 \n",
       "L 111.830398 80.84873 \n",
       "L 168.194034 67.402801 \n",
       "L 224.55767 59.448164 \n",
       "L 280.921307 53.243991 \n",
       "L 337.284943 47.533876 \n",
       "L 393.64858 42.303749 \n",
       "L 450.012216 37.560621 \n",
       "L 506.375852 32.859838 \n",
       "L 562.739489 29.337785 \n",
       "\" style=\"fill:none;stroke:#bf00bf;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M -3 3 \n",
       "L 3 3 \n",
       "L 3 -3 \n",
       "L -3 -3 \n",
       "z\n",
       "\" id=\"mb9ed6ef683\" style=\"stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#paa990b7e8b)\">\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"55.466761\" xlink:href=\"#mb9ed6ef683\" y=\"140.300175\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"111.830398\" xlink:href=\"#mb9ed6ef683\" y=\"80.84873\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"168.194034\" xlink:href=\"#mb9ed6ef683\" y=\"67.402801\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"224.55767\" xlink:href=\"#mb9ed6ef683\" y=\"59.448164\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"280.921307\" xlink:href=\"#mb9ed6ef683\" y=\"53.243991\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"337.284943\" xlink:href=\"#mb9ed6ef683\" y=\"47.533876\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"393.64858\" xlink:href=\"#mb9ed6ef683\" y=\"42.303749\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"450.012216\" xlink:href=\"#mb9ed6ef683\" y=\"37.560621\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"506.375852\" xlink:href=\"#mb9ed6ef683\" y=\"32.859838\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"562.739489\" xlink:href=\"#mb9ed6ef683\" y=\"29.337785\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_21\">\n",
       "    <path clip-path=\"url(#paa990b7e8b)\" d=\"M 55.466761 83.827302 \n",
       "L 111.830398 70.706054 \n",
       "L 168.194034 60.069299 \n",
       "L 224.55767 52.382886 \n",
       "L 280.921307 47.491532 \n",
       "L 337.284943 44.541189 \n",
       "L 393.64858 39.339291 \n",
       "L 450.012216 32.66221 \n",
       "L 506.375852 33.360975 \n",
       "L 562.739489 26.683871 \n",
       "\" style=\"fill:none;stroke:#bf00bf;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    <defs>\n",
       "     <path d=\"M 0 -3 \n",
       "L -0.673542 -0.927051 \n",
       "L -2.85317 -0.927051 \n",
       "L -1.089814 0.354102 \n",
       "L -1.763356 2.427051 \n",
       "L -0 1.145898 \n",
       "L 1.763356 2.427051 \n",
       "L 1.089814 0.354102 \n",
       "L 2.85317 -0.927051 \n",
       "L 0.673542 -0.927051 \n",
       "z\n",
       "\" id=\"ma24469c875\" style=\"stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#paa990b7e8b)\">\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"55.466761\" xlink:href=\"#ma24469c875\" y=\"83.827302\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"111.830398\" xlink:href=\"#ma24469c875\" y=\"70.706054\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"168.194034\" xlink:href=\"#ma24469c875\" y=\"60.069299\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"224.55767\" xlink:href=\"#ma24469c875\" y=\"52.382886\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"280.921307\" xlink:href=\"#ma24469c875\" y=\"47.491532\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"337.284943\" xlink:href=\"#ma24469c875\" y=\"44.541189\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"393.64858\" xlink:href=\"#ma24469c875\" y=\"39.339291\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"450.012216\" xlink:href=\"#ma24469c875\" y=\"32.66221\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"506.375852\" xlink:href=\"#ma24469c875\" y=\"33.360975\"/>\n",
       "     <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"562.739489\" xlink:href=\"#ma24469c875\" y=\"26.683871\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 30.103125 333.36 \n",
       "L 30.103125 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 588.103125 333.36 \n",
       "L 588.103125 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 30.103125 333.36 \n",
       "L 588.103125 333.36 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 30.103125 7.2 \n",
       "L 588.103125 7.2 \n",
       "\" style=\"fill:none;stroke:#000000;stroke-linecap:square;stroke-linejoin:miter;stroke-width:0.8;\"/>\n",
       "   </g>\n",
       "   <g id=\"legend_1\">\n",
       "    <g id=\"patch_7\">\n",
       "     <path d=\"M 433.209375 231.605 \n",
       "L 581.103125 231.605 \n",
       "Q 583.103125 231.605 583.103125 229.605 \n",
       "L 583.103125 110.955 \n",
       "Q 583.103125 108.955 581.103125 108.955 \n",
       "L 433.209375 108.955 \n",
       "Q 431.209375 108.955 431.209375 110.955 \n",
       "L 431.209375 229.605 \n",
       "Q 431.209375 231.605 433.209375 231.605 \n",
       "z\n",
       "\" style=\"fill:#ffffff;opacity:0.8;stroke:#cccccc;stroke-linejoin:miter;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_22\">\n",
       "     <path d=\"M 435.209375 117.053438 \n",
       "L 455.209375 117.053438 \n",
       "\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_23\">\n",
       "     <g>\n",
       "      <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"445.209375\" xlink:href=\"#mb97b38516c\" y=\"117.053438\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_14\">\n",
       "     <!-- relu train_accuracy -->\n",
       "     <defs>\n",
       "      <path d=\"M 41.109375 46.296875 \n",
       "Q 39.59375 47.171875 37.8125 47.578125 \n",
       "Q 36.03125 48 33.890625 48 \n",
       "Q 26.265625 48 22.1875 43.046875 \n",
       "Q 18.109375 38.09375 18.109375 28.8125 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 20.953125 51.171875 25.484375 53.578125 \n",
       "Q 30.03125 56 36.53125 56 \n",
       "Q 37.453125 56 38.578125 55.875 \n",
       "Q 39.703125 55.765625 41.0625 55.515625 \n",
       "z\n",
       "\" id=\"DejaVuSans-114\"/>\n",
       "      <path d=\"M 56.203125 29.59375 \n",
       "L 56.203125 25.203125 \n",
       "L 14.890625 25.203125 \n",
       "Q 15.484375 15.921875 20.484375 11.0625 \n",
       "Q 25.484375 6.203125 34.421875 6.203125 \n",
       "Q 39.59375 6.203125 44.453125 7.46875 \n",
       "Q 49.3125 8.734375 54.109375 11.28125 \n",
       "L 54.109375 2.78125 \n",
       "Q 49.265625 0.734375 44.1875 -0.34375 \n",
       "Q 39.109375 -1.421875 33.890625 -1.421875 \n",
       "Q 20.796875 -1.421875 13.15625 6.1875 \n",
       "Q 5.515625 13.8125 5.515625 26.8125 \n",
       "Q 5.515625 40.234375 12.765625 48.109375 \n",
       "Q 20.015625 56 32.328125 56 \n",
       "Q 43.359375 56 49.78125 48.890625 \n",
       "Q 56.203125 41.796875 56.203125 29.59375 \n",
       "z\n",
       "M 47.21875 32.234375 \n",
       "Q 47.125 39.59375 43.09375 43.984375 \n",
       "Q 39.0625 48.390625 32.421875 48.390625 \n",
       "Q 24.90625 48.390625 20.390625 44.140625 \n",
       "Q 15.875 39.890625 15.1875 32.171875 \n",
       "z\n",
       "\" id=\"DejaVuSans-101\"/>\n",
       "      <path d=\"M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-108\"/>\n",
       "      <path d=\"M 8.5 21.578125 \n",
       "L 8.5 54.6875 \n",
       "L 17.484375 54.6875 \n",
       "L 17.484375 21.921875 \n",
       "Q 17.484375 14.15625 20.5 10.265625 \n",
       "Q 23.53125 6.390625 29.59375 6.390625 \n",
       "Q 36.859375 6.390625 41.078125 11.03125 \n",
       "Q 45.3125 15.671875 45.3125 23.6875 \n",
       "L 45.3125 54.6875 \n",
       "L 54.296875 54.6875 \n",
       "L 54.296875 0 \n",
       "L 45.3125 0 \n",
       "L 45.3125 8.40625 \n",
       "Q 42.046875 3.421875 37.71875 1 \n",
       "Q 33.40625 -1.421875 27.6875 -1.421875 \n",
       "Q 18.265625 -1.421875 13.375 4.4375 \n",
       "Q 8.5 10.296875 8.5 21.578125 \n",
       "z\n",
       "M 31.109375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-117\"/>\n",
       "      <path id=\"DejaVuSans-32\"/>\n",
       "      <path d=\"M 18.3125 70.21875 \n",
       "L 18.3125 54.6875 \n",
       "L 36.8125 54.6875 \n",
       "L 36.8125 47.703125 \n",
       "L 18.3125 47.703125 \n",
       "L 18.3125 18.015625 \n",
       "Q 18.3125 11.328125 20.140625 9.421875 \n",
       "Q 21.96875 7.515625 27.59375 7.515625 \n",
       "L 36.8125 7.515625 \n",
       "L 36.8125 0 \n",
       "L 27.59375 0 \n",
       "Q 17.1875 0 13.234375 3.875 \n",
       "Q 9.28125 7.765625 9.28125 18.015625 \n",
       "L 9.28125 47.703125 \n",
       "L 2.6875 47.703125 \n",
       "L 2.6875 54.6875 \n",
       "L 9.28125 54.6875 \n",
       "L 9.28125 70.21875 \n",
       "z\n",
       "\" id=\"DejaVuSans-116\"/>\n",
       "      <path d=\"M 34.28125 27.484375 \n",
       "Q 23.390625 27.484375 19.1875 25 \n",
       "Q 14.984375 22.515625 14.984375 16.5 \n",
       "Q 14.984375 11.71875 18.140625 8.90625 \n",
       "Q 21.296875 6.109375 26.703125 6.109375 \n",
       "Q 34.1875 6.109375 38.703125 11.40625 \n",
       "Q 43.21875 16.703125 43.21875 25.484375 \n",
       "L 43.21875 27.484375 \n",
       "z\n",
       "M 52.203125 31.203125 \n",
       "L 52.203125 0 \n",
       "L 43.21875 0 \n",
       "L 43.21875 8.296875 \n",
       "Q 40.140625 3.328125 35.546875 0.953125 \n",
       "Q 30.953125 -1.421875 24.3125 -1.421875 \n",
       "Q 15.921875 -1.421875 10.953125 3.296875 \n",
       "Q 6 8.015625 6 15.921875 \n",
       "Q 6 25.140625 12.171875 29.828125 \n",
       "Q 18.359375 34.515625 30.609375 34.515625 \n",
       "L 43.21875 34.515625 \n",
       "L 43.21875 35.40625 \n",
       "Q 43.21875 41.609375 39.140625 45 \n",
       "Q 35.0625 48.390625 27.6875 48.390625 \n",
       "Q 23 48.390625 18.546875 47.265625 \n",
       "Q 14.109375 46.140625 10.015625 43.890625 \n",
       "L 10.015625 52.203125 \n",
       "Q 14.9375 54.109375 19.578125 55.046875 \n",
       "Q 24.21875 56 28.609375 56 \n",
       "Q 40.484375 56 46.34375 49.84375 \n",
       "Q 52.203125 43.703125 52.203125 31.203125 \n",
       "z\n",
       "\" id=\"DejaVuSans-97\"/>\n",
       "      <path d=\"M 9.421875 54.6875 \n",
       "L 18.40625 54.6875 \n",
       "L 18.40625 0 \n",
       "L 9.421875 0 \n",
       "z\n",
       "M 9.421875 75.984375 \n",
       "L 18.40625 75.984375 \n",
       "L 18.40625 64.59375 \n",
       "L 9.421875 64.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-105\"/>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-110\"/>\n",
       "      <path d=\"M 50.984375 -16.609375 \n",
       "L 50.984375 -23.578125 \n",
       "L -0.984375 -23.578125 \n",
       "L -0.984375 -16.609375 \n",
       "z\n",
       "\" id=\"DejaVuSans-95\"/>\n",
       "      <path d=\"M 48.78125 52.59375 \n",
       "L 48.78125 44.1875 \n",
       "Q 44.96875 46.296875 41.140625 47.34375 \n",
       "Q 37.3125 48.390625 33.40625 48.390625 \n",
       "Q 24.65625 48.390625 19.8125 42.84375 \n",
       "Q 14.984375 37.3125 14.984375 27.296875 \n",
       "Q 14.984375 17.28125 19.8125 11.734375 \n",
       "Q 24.65625 6.203125 33.40625 6.203125 \n",
       "Q 37.3125 6.203125 41.140625 7.25 \n",
       "Q 44.96875 8.296875 48.78125 10.40625 \n",
       "L 48.78125 2.09375 \n",
       "Q 45.015625 0.34375 40.984375 -0.53125 \n",
       "Q 36.96875 -1.421875 32.421875 -1.421875 \n",
       "Q 20.0625 -1.421875 12.78125 6.34375 \n",
       "Q 5.515625 14.109375 5.515625 27.296875 \n",
       "Q 5.515625 40.671875 12.859375 48.328125 \n",
       "Q 20.21875 56 33.015625 56 \n",
       "Q 37.15625 56 41.109375 55.140625 \n",
       "Q 45.0625 54.296875 48.78125 52.59375 \n",
       "z\n",
       "\" id=\"DejaVuSans-99\"/>\n",
       "      <path d=\"M 32.171875 -5.078125 \n",
       "Q 28.375 -14.84375 24.75 -17.8125 \n",
       "Q 21.140625 -20.796875 15.09375 -20.796875 \n",
       "L 7.90625 -20.796875 \n",
       "L 7.90625 -13.28125 \n",
       "L 13.1875 -13.28125 \n",
       "Q 16.890625 -13.28125 18.9375 -11.515625 \n",
       "Q 21 -9.765625 23.484375 -3.21875 \n",
       "L 25.09375 0.875 \n",
       "L 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 11.921875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-121\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(463.209375 120.553438)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"38.863281\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"100.386719\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"128.169922\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"191.548828\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"223.335938\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"262.544922\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"303.658203\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"364.9375\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"392.720703\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"456.099609\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"506.099609\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"567.378906\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"622.359375\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"677.339844\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"740.71875\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"781.832031\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"843.111328\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"898.091797\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_24\">\n",
       "     <path d=\"M 435.209375 132.009688 \n",
       "L 455.209375 132.009688 \n",
       "\" style=\"fill:none;stroke:#008000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_25\">\n",
       "     <g>\n",
       "      <use style=\"fill:#008000;fill-opacity:0.5;stroke:#008000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"445.209375\" xlink:href=\"#mab6b50abd3\" y=\"132.009688\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_15\">\n",
       "     <!-- relu val_accuracy -->\n",
       "     <defs>\n",
       "      <path d=\"M 2.984375 54.6875 \n",
       "L 12.5 54.6875 \n",
       "L 29.59375 8.796875 \n",
       "L 46.6875 54.6875 \n",
       "L 56.203125 54.6875 \n",
       "L 35.6875 0 \n",
       "L 23.484375 0 \n",
       "z\n",
       "\" id=\"DejaVuSans-118\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(463.209375 135.509688)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"38.863281\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"100.386719\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"128.169922\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"191.548828\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"223.335938\" xlink:href=\"#DejaVuSans-118\"/>\n",
       "      <use x=\"282.515625\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"343.794922\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"371.578125\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"421.578125\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"482.857422\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"537.837891\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"592.818359\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"656.197266\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"697.310547\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"758.589844\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"813.570312\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_26\">\n",
       "     <path d=\"M 435.209375 146.965938 \n",
       "L 455.209375 146.965938 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_27\">\n",
       "     <g>\n",
       "      <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"445.209375\" xlink:href=\"#mb7657a9370\" y=\"146.965938\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_16\">\n",
       "     <!-- relu_he train_accuracy -->\n",
       "     <defs>\n",
       "      <path d=\"M 54.890625 33.015625 \n",
       "L 54.890625 0 \n",
       "L 45.90625 0 \n",
       "L 45.90625 32.71875 \n",
       "Q 45.90625 40.484375 42.875 44.328125 \n",
       "Q 39.84375 48.1875 33.796875 48.1875 \n",
       "Q 26.515625 48.1875 22.3125 43.546875 \n",
       "Q 18.109375 38.921875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 75.984375 \n",
       "L 18.109375 75.984375 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.34375 51.125 25.703125 53.5625 \n",
       "Q 30.078125 56 35.796875 56 \n",
       "Q 45.21875 56 50.046875 50.171875 \n",
       "Q 54.890625 44.34375 54.890625 33.015625 \n",
       "z\n",
       "\" id=\"DejaVuSans-104\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(463.209375 150.465938)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"38.863281\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"100.386719\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"128.169922\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"191.548828\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"241.548828\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "      <use x=\"304.927734\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"366.451172\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"398.238281\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"437.447266\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"478.560547\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"539.839844\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"567.623047\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"631.001953\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"681.001953\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"742.28125\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"797.261719\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"852.242188\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"915.621094\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"956.734375\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"1018.013672\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"1072.994141\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_28\">\n",
       "     <path d=\"M 435.209375 161.922188 \n",
       "L 455.209375 161.922188 \n",
       "\" style=\"fill:none;stroke:#0000ff;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_29\">\n",
       "     <g>\n",
       "      <use style=\"fill:#0000ff;fill-opacity:0.5;stroke:#0000ff;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"445.209375\" xlink:href=\"#mfe129c8cc8\" y=\"161.922188\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_17\">\n",
       "     <!-- relu_he train_accuracy -->\n",
       "     <g transform=\"translate(463.209375 165.422188)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"38.863281\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"100.386719\" xlink:href=\"#DejaVuSans-108\"/>\n",
       "      <use x=\"128.169922\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"191.548828\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"241.548828\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "      <use x=\"304.927734\" xlink:href=\"#DejaVuSans-101\"/>\n",
       "      <use x=\"366.451172\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"398.238281\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"437.447266\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"478.560547\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"539.839844\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"567.623047\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"631.001953\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"681.001953\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"742.28125\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"797.261719\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"852.242188\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"915.621094\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"956.734375\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"1018.013672\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"1072.994141\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_30\">\n",
       "     <path d=\"M 435.209375 176.878438 \n",
       "L 455.209375 176.878438 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_31\">\n",
       "     <g>\n",
       "      <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"445.209375\" xlink:href=\"#m4411e120b9\" y=\"176.878438\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_18\">\n",
       "     <!-- sigmoid train_accuracy -->\n",
       "     <defs>\n",
       "      <path d=\"M 44.28125 53.078125 \n",
       "L 44.28125 44.578125 \n",
       "Q 40.484375 46.53125 36.375 47.5 \n",
       "Q 32.28125 48.484375 27.875 48.484375 \n",
       "Q 21.1875 48.484375 17.84375 46.4375 \n",
       "Q 14.5 44.390625 14.5 40.28125 \n",
       "Q 14.5 37.15625 16.890625 35.375 \n",
       "Q 19.28125 33.59375 26.515625 31.984375 \n",
       "L 29.59375 31.296875 \n",
       "Q 39.15625 29.25 43.1875 25.515625 \n",
       "Q 47.21875 21.78125 47.21875 15.09375 \n",
       "Q 47.21875 7.46875 41.1875 3.015625 \n",
       "Q 35.15625 -1.421875 24.609375 -1.421875 \n",
       "Q 20.21875 -1.421875 15.453125 -0.5625 \n",
       "Q 10.6875 0.296875 5.421875 2 \n",
       "L 5.421875 11.28125 \n",
       "Q 10.40625 8.6875 15.234375 7.390625 \n",
       "Q 20.0625 6.109375 24.8125 6.109375 \n",
       "Q 31.15625 6.109375 34.5625 8.28125 \n",
       "Q 37.984375 10.453125 37.984375 14.40625 \n",
       "Q 37.984375 18.0625 35.515625 20.015625 \n",
       "Q 33.0625 21.96875 24.703125 23.78125 \n",
       "L 21.578125 24.515625 \n",
       "Q 13.234375 26.265625 9.515625 29.90625 \n",
       "Q 5.8125 33.546875 5.8125 39.890625 \n",
       "Q 5.8125 47.609375 11.28125 51.796875 \n",
       "Q 16.75 56 26.8125 56 \n",
       "Q 31.78125 56 36.171875 55.265625 \n",
       "Q 40.578125 54.546875 44.28125 53.078125 \n",
       "z\n",
       "\" id=\"DejaVuSans-115\"/>\n",
       "      <path d=\"M 45.40625 27.984375 \n",
       "Q 45.40625 37.75 41.375 43.109375 \n",
       "Q 37.359375 48.484375 30.078125 48.484375 \n",
       "Q 22.859375 48.484375 18.828125 43.109375 \n",
       "Q 14.796875 37.75 14.796875 27.984375 \n",
       "Q 14.796875 18.265625 18.828125 12.890625 \n",
       "Q 22.859375 7.515625 30.078125 7.515625 \n",
       "Q 37.359375 7.515625 41.375 12.890625 \n",
       "Q 45.40625 18.265625 45.40625 27.984375 \n",
       "z\n",
       "M 54.390625 6.78125 \n",
       "Q 54.390625 -7.171875 48.1875 -13.984375 \n",
       "Q 42 -20.796875 29.203125 -20.796875 \n",
       "Q 24.46875 -20.796875 20.265625 -20.09375 \n",
       "Q 16.0625 -19.390625 12.109375 -17.921875 \n",
       "L 12.109375 -9.1875 \n",
       "Q 16.0625 -11.328125 19.921875 -12.34375 \n",
       "Q 23.78125 -13.375 27.78125 -13.375 \n",
       "Q 36.625 -13.375 41.015625 -8.765625 \n",
       "Q 45.40625 -4.15625 45.40625 5.171875 \n",
       "L 45.40625 9.625 \n",
       "Q 42.625 4.78125 38.28125 2.390625 \n",
       "Q 33.9375 0 27.875 0 \n",
       "Q 17.828125 0 11.671875 7.65625 \n",
       "Q 5.515625 15.328125 5.515625 27.984375 \n",
       "Q 5.515625 40.671875 11.671875 48.328125 \n",
       "Q 17.828125 56 27.875 56 \n",
       "Q 33.9375 56 38.28125 53.609375 \n",
       "Q 42.625 51.21875 45.40625 46.390625 \n",
       "L 45.40625 54.6875 \n",
       "L 54.390625 54.6875 \n",
       "z\n",
       "\" id=\"DejaVuSans-103\"/>\n",
       "      <path d=\"M 52 44.1875 \n",
       "Q 55.375 50.25 60.0625 53.125 \n",
       "Q 64.75 56 71.09375 56 \n",
       "Q 79.640625 56 84.28125 50.015625 \n",
       "Q 88.921875 44.046875 88.921875 33.015625 \n",
       "L 88.921875 0 \n",
       "L 79.890625 0 \n",
       "L 79.890625 32.71875 \n",
       "Q 79.890625 40.578125 77.09375 44.375 \n",
       "Q 74.3125 48.1875 68.609375 48.1875 \n",
       "Q 61.625 48.1875 57.5625 43.546875 \n",
       "Q 53.515625 38.921875 53.515625 30.90625 \n",
       "L 53.515625 0 \n",
       "L 44.484375 0 \n",
       "L 44.484375 32.71875 \n",
       "Q 44.484375 40.625 41.703125 44.40625 \n",
       "Q 38.921875 48.1875 33.109375 48.1875 \n",
       "Q 26.21875 48.1875 22.15625 43.53125 \n",
       "Q 18.109375 38.875 18.109375 30.90625 \n",
       "L 18.109375 0 \n",
       "L 9.078125 0 \n",
       "L 9.078125 54.6875 \n",
       "L 18.109375 54.6875 \n",
       "L 18.109375 46.1875 \n",
       "Q 21.1875 51.21875 25.484375 53.609375 \n",
       "Q 29.78125 56 35.6875 56 \n",
       "Q 41.65625 56 45.828125 52.96875 \n",
       "Q 50 49.953125 52 44.1875 \n",
       "z\n",
       "\" id=\"DejaVuSans-109\"/>\n",
       "      <path d=\"M 30.609375 48.390625 \n",
       "Q 23.390625 48.390625 19.1875 42.75 \n",
       "Q 14.984375 37.109375 14.984375 27.296875 \n",
       "Q 14.984375 17.484375 19.15625 11.84375 \n",
       "Q 23.34375 6.203125 30.609375 6.203125 \n",
       "Q 37.796875 6.203125 41.984375 11.859375 \n",
       "Q 46.1875 17.53125 46.1875 27.296875 \n",
       "Q 46.1875 37.015625 41.984375 42.703125 \n",
       "Q 37.796875 48.390625 30.609375 48.390625 \n",
       "z\n",
       "M 30.609375 56 \n",
       "Q 42.328125 56 49.015625 48.375 \n",
       "Q 55.71875 40.765625 55.71875 27.296875 \n",
       "Q 55.71875 13.875 49.015625 6.21875 \n",
       "Q 42.328125 -1.421875 30.609375 -1.421875 \n",
       "Q 18.84375 -1.421875 12.171875 6.21875 \n",
       "Q 5.515625 13.875 5.515625 27.296875 \n",
       "Q 5.515625 40.765625 12.171875 48.375 \n",
       "Q 18.84375 56 30.609375 56 \n",
       "z\n",
       "\" id=\"DejaVuSans-111\"/>\n",
       "      <path d=\"M 45.40625 46.390625 \n",
       "L 45.40625 75.984375 \n",
       "L 54.390625 75.984375 \n",
       "L 54.390625 0 \n",
       "L 45.40625 0 \n",
       "L 45.40625 8.203125 \n",
       "Q 42.578125 3.328125 38.25 0.953125 \n",
       "Q 33.9375 -1.421875 27.875 -1.421875 \n",
       "Q 17.96875 -1.421875 11.734375 6.484375 \n",
       "Q 5.515625 14.40625 5.515625 27.296875 \n",
       "Q 5.515625 40.1875 11.734375 48.09375 \n",
       "Q 17.96875 56 27.875 56 \n",
       "Q 33.9375 56 38.25 53.625 \n",
       "Q 42.578125 51.265625 45.40625 46.390625 \n",
       "z\n",
       "M 14.796875 27.296875 \n",
       "Q 14.796875 17.390625 18.875 11.75 \n",
       "Q 22.953125 6.109375 30.078125 6.109375 \n",
       "Q 37.203125 6.109375 41.296875 11.75 \n",
       "Q 45.40625 17.390625 45.40625 27.296875 \n",
       "Q 45.40625 37.203125 41.296875 42.84375 \n",
       "Q 37.203125 48.484375 30.078125 48.484375 \n",
       "Q 22.953125 48.484375 18.875 42.84375 \n",
       "Q 14.796875 37.203125 14.796875 27.296875 \n",
       "z\n",
       "\" id=\"DejaVuSans-100\"/>\n",
       "     </defs>\n",
       "     <g transform=\"translate(463.209375 180.378438)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"79.882812\" xlink:href=\"#DejaVuSans-103\"/>\n",
       "      <use x=\"143.359375\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"240.771484\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"301.953125\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"329.736328\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "      <use x=\"393.212891\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"425\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"464.208984\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"505.322266\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"566.601562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"594.384766\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"657.763672\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"707.763672\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"769.042969\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"824.023438\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"879.003906\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"942.382812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"983.496094\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"1044.775391\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"1099.755859\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_32\">\n",
       "     <path d=\"M 435.209375 191.834688 \n",
       "L 455.209375 191.834688 \n",
       "\" style=\"fill:none;stroke:#ff0000;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_33\">\n",
       "     <g>\n",
       "      <use style=\"fill:#ff0000;fill-opacity:0.5;stroke:#ff0000;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"445.209375\" xlink:href=\"#mceb1c33021\" y=\"191.834688\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_19\">\n",
       "     <!-- sigmoid train_accuracy -->\n",
       "     <g transform=\"translate(463.209375 195.334688)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-115\"/>\n",
       "      <use x=\"52.099609\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"79.882812\" xlink:href=\"#DejaVuSans-103\"/>\n",
       "      <use x=\"143.359375\" xlink:href=\"#DejaVuSans-109\"/>\n",
       "      <use x=\"240.771484\" xlink:href=\"#DejaVuSans-111\"/>\n",
       "      <use x=\"301.953125\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"329.736328\" xlink:href=\"#DejaVuSans-100\"/>\n",
       "      <use x=\"393.212891\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"425\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"464.208984\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"505.322266\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"566.601562\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"594.384766\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"657.763672\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"707.763672\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"769.042969\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"824.023438\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"879.003906\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"942.382812\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"983.496094\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"1044.775391\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"1099.755859\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_34\">\n",
       "     <path d=\"M 435.209375 206.790938 \n",
       "L 455.209375 206.790938 \n",
       "\" style=\"fill:none;stroke:#bf00bf;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_35\">\n",
       "     <g>\n",
       "      <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:miter;stroke-opacity:0.5;\" x=\"445.209375\" xlink:href=\"#mb9ed6ef683\" y=\"206.790938\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_20\">\n",
       "     <!-- tanh train_accuracy -->\n",
       "     <g transform=\"translate(463.209375 210.290938)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"163.867188\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "      <use x=\"227.246094\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"259.033203\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"298.242188\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"339.355469\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"400.634766\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"428.417969\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"491.796875\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"541.796875\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"603.076172\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"658.056641\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"713.037109\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"776.416016\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"817.529297\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"878.808594\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"933.789062\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"line2d_36\">\n",
       "     <path d=\"M 435.209375 221.747188 \n",
       "L 455.209375 221.747188 \n",
       "\" style=\"fill:none;stroke:#bf00bf;stroke-linecap:square;stroke-opacity:0.5;stroke-width:1.5;\"/>\n",
       "    </g>\n",
       "    <g id=\"line2d_37\">\n",
       "     <g>\n",
       "      <use style=\"fill:#bf00bf;fill-opacity:0.5;stroke:#bf00bf;stroke-linejoin:bevel;stroke-opacity:0.5;\" x=\"445.209375\" xlink:href=\"#ma24469c875\" y=\"221.747188\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"text_21\">\n",
       "     <!-- tanh train_accuracy -->\n",
       "     <g transform=\"translate(463.209375 225.247188)scale(0.1 -0.1)\">\n",
       "      <use xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"39.208984\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"100.488281\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"163.867188\" xlink:href=\"#DejaVuSans-104\"/>\n",
       "      <use x=\"227.246094\" xlink:href=\"#DejaVuSans-32\"/>\n",
       "      <use x=\"259.033203\" xlink:href=\"#DejaVuSans-116\"/>\n",
       "      <use x=\"298.242188\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"339.355469\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"400.634766\" xlink:href=\"#DejaVuSans-105\"/>\n",
       "      <use x=\"428.417969\" xlink:href=\"#DejaVuSans-110\"/>\n",
       "      <use x=\"491.796875\" xlink:href=\"#DejaVuSans-95\"/>\n",
       "      <use x=\"541.796875\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"603.076172\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"658.056641\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"713.037109\" xlink:href=\"#DejaVuSans-117\"/>\n",
       "      <use x=\"776.416016\" xlink:href=\"#DejaVuSans-114\"/>\n",
       "      <use x=\"817.529297\" xlink:href=\"#DejaVuSans-97\"/>\n",
       "      <use x=\"878.808594\" xlink:href=\"#DejaVuSans-99\"/>\n",
       "      <use x=\"933.789062\" xlink:href=\"#DejaVuSans-121\"/>\n",
       "     </g>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"paa990b7e8b\">\n",
       "   <rect height=\"326.16\" width=\"558\" x=\"30.103125\" y=\"7.2\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "\n",
    "plt.plot(history_relu.history['accuracy'], 'gs-', label='relu train_accuracy', alpha=0.5)\n",
    "plt.plot(history_relu.history['val_accuracy'], 'g*-', label='relu val_accuracy', alpha=0.5)\n",
    "\n",
    "plt.plot(history_relu_he.history['accuracy'], 'bs-', label='relu_he train_accuracy', alpha=0.5)\n",
    "plt.plot(history_relu_he.history['val_accuracy'], 'b*-', label='relu_he train_accuracy', alpha=0.5)\n",
    "\n",
    "plt.plot(history_sigmoid.history['accuracy'], 'rs-', label='sigmoid train_accuracy', alpha=0.5)\n",
    "plt.plot(history_sigmoid.history['val_accuracy'], 'r*-', label='sigmoid train_accuracy', alpha=0.5)\n",
    "\n",
    "plt.plot(history_tanh.history['accuracy'], 'ms-', label='tanh train_accuracy', alpha=0.5)\n",
    "plt.plot(history_tanh.history['val_accuracy'], 'm*-', label='tanh train_accuracy', alpha=0.5)\n",
    "\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Conclusion:\n",
    "* In this case, the model trained with ReLU and He Inititalization has the best performance, followed by the model trained with Tanh. \n",
    "* We can see that models with ReLU and  Sigmoid are quite poor on both the train and validation sets achieving around 10% accuracy. This suggests that the two models as configured could not learn the problem nor generalize a solution.\n",
    "* In addition, we found the average execution time for the model trained with ReLU is about 32 seconds per epoch, comparing to average 40 seconds per epoch for the model trained with Sigmoid or  Tanh. It is 25% increase in term of the the convergence speed."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "tf-tutorial",
   "language": "python",
   "name": "tf-tutorial"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}