144.md

Results of Code LLama 34B on HumanEval/144

Date: 01 September, 2023
Model: codellama-34b-instruct
Temperature: 0.2
Passing runs: 9
Total runs: 10
Success rate: 90%

Prompt

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """

The above is an incomplete Python code fragment. Return the complete and correct code with no additional text.

Correct solution

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """a, b = x.split("/")
    c, d = n.split("/")
    numerator = int(a) * int(c)
    denom = int(b) * int(d)
    if (numerator/denom == int(numerator/denom)):
        return True
    return False

Unit tests

def check(candidate):

    # Check some simple cases
    assert candidate("1/5", "5/1") == True, 'test1'
    assert candidate("1/6", "2/1") == False, 'test2'
    assert candidate("5/1", "3/1") == True, 'test3'
    assert candidate("7/10", "10/2") == False, 'test4'
    assert candidate("2/10", "50/10") == True, 'test5'
    assert candidate("7/2", "4/2") == True, 'test6'
    assert candidate("11/6", "6/1") == True, 'test7'
    assert candidate("2/3", "5/2") == False, 'test8'
    assert candidate("5/2", "3/5") == False, 'test9'
    assert candidate("2/4", "8/4") == True, 'test10'


    # Check some edge cases that are easy to work out by hand.
    assert candidate("2/4", "4/2") == True, 'test11'
    assert candidate("1/5", "5/1") == True, 'test12'
    assert candidate("1/5", "1/5") == False, 'test13'

Runs

✅ Run 1

Start time: 2023-09-01 02:46:16
Duration: 13.35s
Result: Pass

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """
    x_numerator, x_denominator = x.split("/")
    n_numerator, n_denominator = n.split("/")
    result_numerator = int(x_numerator) * int(n_numerator)
    result_denominator = int(x_denominator) * int(n_denominator)
    if result_numerator % result_denominator == 0:
        return True
    else:
        return False

✅ Run 2

Start time: 2023-09-01 02:49:11
Duration: 12.42s
Result: Pass

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """
    x_num, x_den = x.split("/")
    n_num, n_den = n.split("/")
    result_num = int(x_num) * int(n_num)
    result_den = int(x_den) * int(n_den)
    if result_num % result_den == 0:
        return True
    else:
        return False

✅ Run 3

Start time: 2023-09-01 02:52:09
Duration: 12.24s
Result: Pass

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """
    x_numerator, x_denominator = map(int, x.split("/"))
    n_numerator, n_denominator = map(int, n.split("/"))
    result_numerator = x_numerator * n_numerator
    result_denominator = x_denominator * n_denominator
    if result_numerator % result_denominator == 0:
        return True
    else:
        return False

✅ Run 4

Start time: 2023-09-01 02:55:01
Duration: 12.47s
Result: Pass

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """
    x_numerator, x_denominator = x.split("/")
    n_numerator, n_denominator = n.split("/")
    result_numerator = int(x_numerator) * int(n_numerator)
    result_denominator = int(x_denominator) * int(n_denominator)
    if result_numerator % result_denominator == 0:
        return True
    else:
        return False

❌ Run 5

Start time: 2023-09-01 02:58:02
Duration: 18.08s
Result: Fail

def simplify(x, n):
    """
    Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """

    def gcd(a, b):
        while b != 0:
            a, b = b, a % b
        return a

    def simplify_fraction(x, n):
        numerator = int(x.split("/")[0]) * int(n.split("/")[1])
        denominator = int(x.split("/")[1]) * int(n.split("/")[0])
        gcd_val = gcd(numerator, denominator)
        return f"{numerator // gcd_val}/{denominator // gcd_val}"

    def is_whole_number(x):
        return x.split("/")[1] == "1"

    x_simplified = simplify_fraction(x, n)
    n_simplified = simplify_fraction(n, x)

    if is_whole_number(x_simplified) and is_whole_number(n_simplified):
        return True
    else:
        return False

✅ Run 6

Start time: 2023-09-01 03:01:04
Duration: 12.9s
Result: Pass

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """
    x_numerator, x_denominator = x.split("/")
    n_numerator, n_denominator = n.split("/")
    result_numerator = int(x_numerator) * int(n_numerator)
    result_denominator = int(x_denominator) * int(n_denominator)
    if result_numerator % result_denominator == 0:
        return True
    else:
        return False

✅ Run 7

Start time: 2023-09-01 03:04:04
Duration: 12.67s
Result: Pass

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """
    x_numerator, x_denominator = x.split("/")
    n_numerator, n_denominator = n.split("/")
    result_numerator = int(x_numerator) * int(n_numerator)
    result_denominator = int(x_denominator) * int(n_denominator)
    if result_numerator % result_denominator == 0:
        return True
    else:
        return False

✅ Run 8

Start time: 2023-09-01 03:07:06
Duration: 12.13s
Result: Pass

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """
    x_numerator, x_denominator = x.split("/")
    n_numerator, n_denominator = n.split("/")
    result_numerator = int(x_numerator) * int(n_numerator)
    result_denominator = int(x_denominator) * int(n_denominator)
    if result_numerator % result_denominator == 0:
        return True
    else:
        return False

✅ Run 9

Start time: 2023-09-01 03:10:07
Duration: 11.7s
Result: Pass

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """
    x_num, x_denom = x.split("/")
    n_num, n_denom = n.split("/")
    result_num = int(x_num) * int(n_num)
    result_denom = int(x_denom) * int(n_denom)
    if result_num % result_denom == 0:
        return True
    else:
        return False

✅ Run 10

Start time: 2023-09-01 03:13:07
Duration: 12.06s
Result: Pass

def simplify(x, n):
    """Your task is to implement a function that will simplify the expression
    x * n. The function returns True if x * n evaluates to a whole number and False
    otherwise. Both x and n, are string representation of a fraction, and have the following format,
    <numerator>/<denominator> where both numerator and denominator are positive whole numbers.

    You can assume that x, and n are valid fractions, and do not have zero as denominator.

    simplify("1/5", "5/1") = True
    simplify("1/6", "2/1") = False
    simplify("7/10", "10/2") = False
    """
    x_num, x_den = map(int, x.split("/"))
    n_num, n_den = map(int, n.split("/"))
    result = x_num * n_num
    if result % (x_den * n_den) == 0:
        return True
    else:
        return False