diff --git a/tests/kernel/vector_codegen_test.py b/tests/kernel/vector_codegen_test.py
index fd6f7d718..b04c4c156 100644
--- a/tests/kernel/vector_codegen_test.py
+++ b/tests/kernel/vector_codegen_test.py
@@ -3,6 +3,7 @@
 
 import torch
 import shark_turbine.kernel as tk
+import shark_turbine.kernel.lang as tkl
 
 from shark_turbine.kernel.compiler import (
     builder,
@@ -80,6 +81,112 @@ def softmax_kernel(
                 print(mb.module_op.get_asm())
             mb.module_op.verify()
 
+    def testForLoopFx(self):
+        @tk.gen.thread(M)
+        def for_loop_kernel(
+            input: tk.lang.KernelBuffer[M, K], output: tk.lang.KernelBuffer[M, K]
+        ):
+            row_idx = tkl.program_id(0)
+            sum = input[row_idx, 0]
+            prefetch = input[row_idx, 1]
+
+            @tkl.for_loop(2, 5, init_args=[sum, prefetch])
+            def prefetch_sum(i, iter_args):
+                new_sum = iter_args[0] + iter_args[1]
+                new_prefetch = input[row_idx, i]
+                return new_sum, new_prefetch
+
+            output[row_idx, 0] = prefetch_sum[0]
+
+        trace = for_loop_kernel._trace
+        print(trace.region_graph)
+        mb = builder.ModuleBuilder()
+        with indexing.IndexingContext() as idxc:
+            idxc.bind_constant(M, 128)
+            idxc.bind_constant(K, 64)
+
+            sig = kernel_codegen.KernelSignature()
+            sig.add_from_graph_placeholders(trace.get_root_graph())
+            sig.add_grid(for_loop_kernel.grid_type)
+            print(sig)
+            bound_sig, func_op = kernel_codegen.FunctionalKernelSignature.create(
+                sig, mb
+            )
+            emitter = vector_codegen.ThreadEmitter(bound_sig, trace)
+            try:
+                emitter.emit()
+            finally:
+                emitter.finish()
+                print(mb.module_op.get_asm())
+            mb.module_op.verify()
+
+    def testGemmFx(self):
+        N = tkl.sym.N
+        M = tkl.sym.M
+        K = tkl.sym.K
+
+        GRID_N = tkl.sym.GRID_N
+        GRID_M = tkl.sym.GRID_M
+
+        def inner_gemm(
+            A: tkl.KernelBuffer[N, K],
+            B: tkl.KernelBuffer[K, M],
+            output: tkl.KernelBuffer[N, M],
+            k: int,
+            block_size: int,
+        ):
+            grid_n = tkl.program_id(0)
+            grid_m = tkl.program_id(1)
+
+            acc = tkl.constant((block_size, block_size), torch.float32, 0.0)
+
+            @tkl.for_loop(0, k // block_size, init_args=[acc])
+            def body(i, c):
+                a = tkl.load(A, (grid_n, i * block_size), (block_size, block_size))
+                b = tkl.load(B, (i * block_size, grid_m), (block_size, block_size))
+                return (tkl.dot(a, b, c),)
+
+            tkl.store(output, (grid_n, grid_m), body[0])
+
+        @tk.gen.thread(GRID_N, GRID_M)
+        def gemm_kernel(
+            A: tkl.KernelBuffer[N, K],
+            B: tkl.KernelBuffer[K, M],
+            output: tkl.KernelBuffer[N, M],
+        ):
+            # TODO: We should find a way to parameterize these so we can autotune over them.
+            # TODO: Ideally, we should be getting k from the symbol. The symbol value
+            # is currently not available at tracing time which is a problem.
+            k = 512
+            block_size = 32
+            inner_gemm(A, B, output, k, block_size)
+
+        trace = gemm_kernel._trace
+        print(trace.region_graph)
+        mb = builder.ModuleBuilder()
+        with indexing.IndexingContext() as idxc:
+            BLOCK_SIZE = 32
+            idxc.bind_constant(N, 512)
+            idxc.bind_constant(M, 512)
+            idxc.bind_constant(K, 512)
+            idxc.bind_constant(GRID_N, 512 // BLOCK_SIZE)
+            idxc.bind_constant(GRID_M, 512 // BLOCK_SIZE)
+
+            sig = kernel_codegen.KernelSignature()
+            sig.add_from_graph_placeholders(trace.get_root_graph())
+            sig.add_grid(gemm_kernel.grid_type)
+            print(sig)
+            bound_sig, func_op = kernel_codegen.FunctionalKernelSignature.create(
+                sig, mb
+            )
+            emitter = vector_codegen.ThreadEmitter(bound_sig, trace)
+            try:
+                emitter.emit()
+            finally:
+                emitter.finish()
+                print(mb.module_op.get_asm())
+            mb.module_op.verify()
+
 
 if __name__ == "__main__":
     logging.basicConfig(level=logging.DEBUG)