gpt-5.5-priority · original · l12_all_gpt
correct 14_Matmul_for_upper_triangular_matrices.py
model
gpt-5.5-priority
turns / max
15 / 15
tool calls
15
tokens (total)
0
wall clock
—
truncated
no
backend
cuda fp32
variant
original
runtime
0.92 μs
ref runtime
2.69 μs
speedup
2.93x
started
2026-05-04T07:17:38Z
timingkernelbench.timing
kernel runtime
0.92 μs
ref runtime
2.69 μs
speedup
2.93x
kernel mean / median / std
0.92 / — / 0.00 μs
ref mean / median / std
2.69 / — / 0.00 μs
numerical precisioneval_kernel_against_ref
max abs error
0.00
mean abs error
0.00
max rel error
0.00
mean rel error
0.00
gpu memoryextended_metrics.measure_memory
kernel peak
225.00 MB
ref peak
289.00 MB
kernel / ref
0.78x
kernel launches / fusiontorch.profiler
kernel launches
2
ref launches
3
fusion ratio (ref / kernel)
1.50x
total cuda time
61 μs
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.450
dram util %
4.4%
compute util %
45.0%
bottleneck
compute-bound
dominant pipe
FP32
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
147.78 GB/s
dram util %
4.4%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
24.7%
bottleneck
compute-bound
dominant pipe %
45.0%
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
89.3%
ld sectors / req
4.00
st sectors / req
—
regs / thread
88
smem / block
34304 B
block size
256
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
short_scoreboard
352.3%
long_scoreboard
60.2%
mio_throttle
19.2%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn

class Model(nn.Module):
    """
    Simple model that performs matrix multiplication (C = A * B) for upper triangular matrices.
    """
    def __init__(self):
        super(Model, self).__init__()
    
    def forward(self, A, B):
        """
        Performs matrix multiplication for upper triangular matrices.

        Args:
            A (torch.Tensor): Upper triangular matrix of shape (N, N).
            B (torch.Tensor): Upper triangular matrix of shape (N, N).

        Returns:
            torch.Tensor: The product of A and B, also an upper triangular matrix of shape (N, N).
        """
        return torch.triu(torch.matmul(A, B))

N = 4096

def get_inputs():
    """
    Generates upper triangular matrices for testing.

    Returns:
        list: A list containing two upper triangular matrices of shape (N, N).
    """
    A = torch.triu(torch.rand(N, N))
    B = torch.triu(torch.rand(N, N))
    return [A, B]

def get_init_inputs():
    """
    No specific initialization inputs are needed for this model.

    Returns:
        list: An empty list.
    """
    return []
turn 010.9s turn · 10.9s LLM · 0.0s tools
reasoning
**Evaluating computation strategy** I need to think about using a 16x16 threads compute method for one element or perhaps applying it in a 16x16 block context. I'm considering what that could mean in terms of efficiency and performance, and whether this approach is optimal for my calculations. It’s interesting to weigh the benefits of processing elements individually versus bulk processing. I’m eager to determine the best approach to maximize the effectiveness of my computations!
call → get_gpu_specs
callget_gpu_specs {}
result ← get_gpu_specs (ok)
okget_gpu_specs GPU specs for NVIDIA H100 80GB HBM3: total memory (runtime): 79.1 GB spec entry: H100 GPU Architecture: Hopper GPU Memory: 80GB Memory Bandwidth: 3.35 TB/s FP64 TFLOPS: 34 FP64 Tensor Core TFLOPS: 67 FP32 TFLOPS: 67 TF32 Tensor Core TFLOPS: 989 with sparsity BFLOAT16 Tensore Core TFLOPS: 1979 with sparsity FP16 Tensor Core TFLOPS: 1979 with sparsity FP8 Tensor Core TFLOPS: 3958 with sparsity INT8 Tensor Core TOPS: 3958 with sparsity Register File Size: 64K 32-bit registers per SM Maximum number of registers per thread: 255 Maximum number of thread blocks per SM: 32 Shared memory capacity per SM: 228 KB Maximum shared memory per thread block: 227 KB
turn 117.0s turn · 17.0s LLM · 0.0s tools
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cublas_v2.h>\n\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B) {\n const int64_t N = A.size(0);\n auto C = torch::empty_like(A);\n cublasHandle_t handle = at::cuda::getCurrentCUDABlasHandle();\n float alpha = 1.0f;\n cublasStatus_t st = cublasStrmm(handle,\n CUBLAS_SIDE_RIGHT, CUBLAS_FILL_MODE_LOWER, CUBLAS_OP_N, CUBLAS_DIAG_NON_UNIT,\n (int)N, (int)N,\n &alpha,\n A.data_ptr<float>(), (int)N,\n B.data_ptr<float>(), (int)N,\n C.data_ptr<float>(), (int)N);\n TORCH_CHECK(st == CUBLAS_STATUS_SUCCESS, \"cublasStrmm failed\");\n return C;\n}\n'''\n\n_ext = load_inline(name='triu_mm_ext_v1', cpp_sources=cpp_src, functions=['triu_mm'], with_cuda=True, extra_cflags=['-O3'])\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super(ModelNew, self).__init__()\n def forward(self, A, B):\n return _ext.triu_mm(A, B)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 23.6s turn · 3.6s LLM · 0.0s tools
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cublas_v2.h>\n\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B) {\n const int64_t N = A.size(0);\n auto C = torch::empty_like(A);\n cublasHandle_t handle = at::cuda::getCurrentCUDABlasHandle();\n float alpha = 1.0f;\n cublasStatus_t st = cublasStrmm(handle,\n CUBLAS_SIDE_RIGHT, CUBLAS_FILL_MODE_LOWER, CUBLAS_OP_N, CUBLAS_DIAG_NON_UNIT,\n (int)N, (int)N,\n &alpha,\n A.data_ptr<float>(), (int)N,\n B.data_ptr<float>(), (int)N,\n C.data_ptr<float>(), (int)N);\n TORCH_CHECK(st == CUBLAS_STATUS_SUCCESS, \"cublasStrmm failed\");\n return C;\n}\n'''\n\n_ext = load_inline(name='triu_mm_ext_v1c', cpp_sources=cpp_src, functions=['triu_mm'], with_cuda=True, extra_cflags=['-O3'])\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super(ModelNew, self).__init__()\n def forward(self, A, B):\n return _ext.triu_mm(A, B)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=1.59e-03 mean_abs_err=3.10e-05 max_rel_err=2.20e-06
turn 34.0s turn · 4.0s LLM · 0.0s tools
reasoning
**Considering tolerances for accuracy** I’m trying to understand if something can still be correct even when the maximum absolute value exceeds 1e-4. It seems likely that the tolerances for confirming things as "close" might need to combine that with comparing against large values. Speed is essential here too, so profiling cublas could be a smart next step to ensure everything's working efficiently without sacrificing accuracy. I'm curious about finding the right balance!
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cublas_v2.h>\n\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B) {\n const int64_t N = A.size(0);\n auto C = torch::empty_like(A);\n cublasHandle_t handle = at::cuda::getCurrentCUDABlasHandle();\n float alpha = 1.0f;\n cublasStatus_t st = cublasStrmm(handle,\n CUBLAS_SIDE_RIGHT, CUBLAS_FILL_MODE_LOWER, CUBLAS_OP_N, CUBLAS_DIAG_NON_UNIT,\n (int)N, (int)N,\n &alpha,\n A.data_ptr<float>(), (int)N,\n B.data_ptr<float>(), (int)N,\n C.data_ptr<float>(), (int)N);\n TORCH_CHECK(st == CUBLAS_STATUS_SUCCESS, \"cublasStrmm failed\");\n return C;\n}\n'''\n\n_ext = load_inline(name='triu_mm_ext_v1p', cpp_sources=cpp_src, functions=['triu_mm'], with_cuda=True, extra_cflags=['-O3'])\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super(ModelNew, self).__init__()\n def forward(self, A, B):\n return _ext.triu_mm(A, B)\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::empty_like 501.0μs (52%) calls=1 #2: aten::empty_strided 469.0μs (48%) calls=1 --- Timing --- GPU time: 1736.22 μs --- Memory Bandwidth --- DRAM BW: 676.7/3350 GB/s (20.2%) read=639.0 write=37.7 GB/s Hit rates: L2=78.9% --- Compute Throughput --- Dominant pipe: FP32 util=66.0% Pipe util: FMA=66.0%, Tensor=0.0% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 24.2% Eligible warps/cycle: 2.36 Launch: regs/thread=118, smem/blk=13696B, block=128, grid=4096 --- Memory Access Quality --- Global ld coalescing: 4.00 sectors/req (4.0x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- short_scoreboard 103.4% #################### mio_throttle 17.3% ### long_scoreboard 1.5% --- Optimization Hints --- -> 103% stalls: shared memory / L1 / MIO dependency. Check smem layout for bank conflicts, double-buffer, or async copies. -> Global load coalescing=4.0x (ideal=1.0) -> 4x wasted DRAM BW. Make per-warp accesses contiguous. -> Low occupancy (24%) limited by registers (118/thread). Consider __launch_bounds__ or reducing register pressure. -> Compute-bound but NOT using tensor cores. If applicable, use FP16/BF16 with torch.matmul or WMMA intrinsics.
turn 423.9s turn · 23.9s LLM · 0.0s tools
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_src = r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B) { return triu_mm_cuda(A,B); }\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n#define TILE 32\n#define TS 16\n\n__global__ void tri_matmul_kernel(const float* __restrict__ A, const float* __restrict__ B, float* __restrict__ C, int N) {\n int bj = blockIdx.x; // col tile\n int bi = blockIdx.y; // row tile\n int tx = threadIdx.x; // 0..15 cols pair\n int ty = threadIdx.y; // 0..15 rows pair\n int row0 = bi*TILE + ty*2;\n int row1 = row0 + 1;\n int col0 = bj*TILE + tx*2;\n int col1 = col0 + 1;\n if (bi > bj) {\n C[row0*N + col0] = 0.0f;\n C[row0*N + col1] = 0.0f;\n C[row1*N + col0] = 0.0f;\n C[row1*N + col1] = 0.0f;\n return;\n }\n __shared__ float As[TILE][TILE+1];\n __shared__ float Bs[TILE][TILE+1];\n float c00=0.0f, c01=0.0f, c10=0.0f, c11=0.0f;\n int tid = ty*TS + tx;\n #pragma unroll 1\n for (int bk=bi; bk<=bj; ++bk) {\n int kbase = bk*TILE;\n // each thread loads 4 A and 4 B values to cover 1024 elems of each\n #pragma unroll\n for (int q=0; q<4; ++q) {\n int idx = tid + q*256;\n int lr = idx >> 5;\n int lc = idx & 31;\n As[lr][lc] = A[(bi*TILE + lr)*N + (kbase + lc)];\n Bs[lr][lc] = B[(kbase + lr)*N + (bj*TILE + lc)];\n }\n __syncthreads();\n #pragma unroll\n for (int k=0; k<TILE; ++k) {\n float a0 = As[ty*2][k];\n float a1 = As[ty*2+1][k];\n float b0 = Bs[k][tx*2];\n float b1 = Bs[k][tx*2+1];\n c00 = fmaf(a0,b0,c00);\n c01 = fmaf(a0,b1,c01);\n c10 = fmaf(a1,b0,c10);\n c11 = fmaf(a1,b1,c11);\n }\n __syncthreads();\n }\n C[row0*N + col0] = c00;\n C[row0*N + col1] = c01;\n C[row1*N + col0] = c10;\n C[row1*N + col1] = c11;\n}\n\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B) {\n int N = (int)A.size(0);\n auto C = torch::empty_like(A);\n dim3 block(16,16);\n dim3 grid((N+TILE-1)/TILE, (N+TILE-1)/TILE);\n tri_matmul_kernel<<<grid, block>>>(A.data_ptr<float>(), B.data_ptr<float>(), C.data_ptr<float>(), N);\n return C;\n}\n'''\n\n_ext = load_inline(name='tri_mm_custom_v1', cpp_sources=cpp_src, cuda_sources=cuda_src, functions=['triu_mm'], with_cuda=True, extra_cflags=['-O3'], extra_cuda_cflags=['-O3'])\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super(ModelNew, self).__init__()\n def forward(self, A, B):\n return _ext.triu_mm(A, B)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 56.7s turn · 6.7s LLM · 0.0s tools
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_src = r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B) { return triu_mm_cuda(A,B); }\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define TILE 32\n#define TS 16\n__global__ void tri_matmul_kernel(const float* __restrict__ A, const float* __restrict__ B, float* __restrict__ C, int N) {\n int bj = blockIdx.x, bi = blockIdx.y;\n int tx = threadIdx.x, ty = threadIdx.y;\n int row0 = bi*TILE + ty*2, row1 = row0 + 1;\n int col0 = bj*TILE + tx*2, col1 = col0 + 1;\n if (bi > bj) {\n C[row0*N + col0] = 0.0f; C[row0*N + col1] = 0.0f;\n C[row1*N + col0] = 0.0f; C[row1*N + col1] = 0.0f;\n return;\n }\n __shared__ float As[TILE][TILE+1];\n __shared__ float Bs[TILE][TILE+1];\n float c00=0.0f,c01=0.0f,c10=0.0f,c11=0.0f;\n int tid = ty*TS + tx;\n #pragma unroll 1\n for (int bk=bi; bk<=bj; ++bk) {\n int kbase = bk*TILE;\n #pragma unroll\n for (int q=0; q<4; ++q) {\n int idx = tid + q*256;\n int lr = idx >> 5, lc = idx & 31;\n As[lr][lc] = A[(bi*TILE + lr)*N + (kbase + lc)];\n Bs[lr][lc] = B[(kbase + lr)*N + (bj*TILE + lc)];\n }\n __syncthreads();\n #pragma unroll\n for (int k=0; k<TILE; ++k) {\n float a0=As[ty*2][k], a1=As[ty*2+1][k];\n float b0=Bs[k][tx*2], b1=Bs[k][tx*2+1];\n c00=fmaf(a0,b0,c00); c01=fmaf(a0,b1,c01);\n c10=fmaf(a1,b0,c10); c11=fmaf(a1,b1,c11);\n }\n __syncthreads();\n }\n C[row0*N + col0]=c00; C[row0*N + col1]=c01;\n C[row1*N + col0]=c10; C[row1*N + col1]=c11;\n}\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B) {\n int N=(int)A.size(0); auto C=torch::empty_like(A);\n dim3 block(16,16); dim3 grid((N+31)/32,(N+31)/32);\n tri_matmul_kernel<<<grid,block>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N);\n return C;\n}\n'''\n_ext = load_inline(name='tri_mm_custom_v1c', cpp_sources=cpp_src, cuda_sources=cuda_src, functions=['triu_mm'], with_cuda=True, extra_cflags=['-O3'], extra_cuda_cflags=['-O3'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,A,B): return _ext.triu_mm(A,B)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
turn 67.1s turn · 7.1s LLM · 0.0s tools
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_src = r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B) { return triu_mm_cuda(A,B); }\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define TILE 32\n#define TS 16\n__global__ void tri_matmul_kernel(const float* __restrict__ A, const float* __restrict__ B, float* __restrict__ C, int N) {\n int bj = blockIdx.x, bi = blockIdx.y;\n int tx = threadIdx.x, ty = threadIdx.y;\n int row0 = bi*TILE + ty*2, row1 = row0 + 1;\n int col0 = bj*TILE + tx*2, col1 = col0 + 1;\n if (bi > bj) {\n C[row0*N + col0] = 0.0f; C[row0*N + col1] = 0.0f;\n C[row1*N + col0] = 0.0f; C[row1*N + col1] = 0.0f;\n return;\n }\n __shared__ float As[TILE][TILE+1];\n __shared__ float Bs[TILE][TILE+1];\n float c00=0.0f,c01=0.0f,c10=0.0f,c11=0.0f;\n int tid = ty*TS + tx;\n #pragma unroll 1\n for (int bk=bi; bk<=bj; ++bk) {\n int kbase = bk*TILE;\n #pragma unroll\n for (int q=0; q<4; ++q) {\n int idx = tid + q*256;\n int lr = idx >> 5, lc = idx & 31;\n As[lr][lc] = A[(bi*TILE + lr)*N + (kbase + lc)];\n Bs[lr][lc] = B[(kbase + lr)*N + (bj*TILE + lc)];\n }\n __syncthreads();\n #pragma unroll\n for (int k=0; k<TILE; ++k) {\n float a0=As[ty*2][k], a1=As[ty*2+1][k];\n float b0=Bs[k][tx*2], b1=Bs[k][tx*2+1];\n c00=fmaf(a0,b0,c00); c01=fmaf(a0,b1,c01);\n c10=fmaf(a1,b0,c10); c11=fmaf(a1,b1,c11);\n }\n __syncthreads();\n }\n C[row0*N + col0]=c00; C[row0*N + col1]=c01;\n C[row1*N + col0]=c10; C[row1*N + col1]=c11;\n}\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B) {\n int N=(int)A.size(0); auto C=torch::empty_like(A);\n dim3 block(16,16); dim3 grid((N+31)/32,(N+31)/32);\n tri_matmul_kernel<<<grid,block>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N);\n return C;\n}\n'''\n_ext = load_inline(name='tri_mm_custom_v1p', cpp_sources=cpp_src, cuda_sources=cuda_src, functions=['triu_mm'], with_cuda=True, extra_cflags=['-O3'], extra_cuda_cflags=['-O3'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,A,B): return _ext.triu_mm(A,B)\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::empty_like 536.0μs (52%) calls=1 #2: aten::empty_strided 502.0μs (48%) calls=1 --- Timing --- GPU time: 1326.50 μs [↓409.7μs ok] --- Memory Bandwidth --- DRAM BW: 112.4/3350 GB/s (3.4%) [↓16.8% REGRESSED] read=75.9 write=36.5 GB/s Hit rates: L2=92.1% --- Compute Throughput --- Dominant pipe: FP32 util=31.9% [↓34.1% REGRESSED] Pipe util: FMA=31.9%, Tensor=0.0% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 74.1% [↑49.9% ok] Eligible warps/cycle: 1.53 Launch: regs/thread=40, smem/blk=9472B, block=256, grid=16384 --- Memory Access Quality --- Global ld coalescing: 4.00 sectors/req (4.0x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- short_scoreboard 839.9% #################### long_scoreboard 468.6% #################### mio_throttle 326.2% #################### --- Optimization Hints --- -> 840% stalls: shared memory / L1 / MIO dependency. Check smem layout for bank conflicts, double-buffer, or async copies. -> Global load coalescing=4.0x (ideal=1.0) -> 4x wasted DRAM BW. Make per-warp accesses contiguous. -> Compute-bound but NOT using tensor cores. If applicable, use FP16/BF16 with torch.matmul or WMMA intrinsics. --- Delta vs Previous Iteration --- GPU time: 1736.22→1326.50μs (↓409.73) ok DRAM BW%: 20.20→3.36% (↓16.84) REGRESSED Compute%: 65.99→31.91% (↓34.08) REGRESSED Occupancy: 24.21→74.06% (↑49.85) ok Eligible warps/cyc: 2.36→1.53 (↓0.83) REGRESSED L2 hit%: 78.86→92.06% (↑13.21) ok
turn 7 · 1 tool call(s) · 15.9s turn · 15.9s LLM · 7,391 chars (click to expand)
turn 715.9s turn · 15.9s LLM · 0.0s tools
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\ncpp_src=r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B){return triu_mm_cuda(A,B);} \n'''\ncuda_src=r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define TILE 64\n#define TS 16\n#define RPT 4\n__global__ void tri64_kernel(const float* __restrict__ A,const float* __restrict__ B,float* __restrict__ C,int N){\n int bj=blockIdx.x, bi=blockIdx.y; int tx=threadIdx.x, ty=threadIdx.y; int tid=ty*TS+tx;\n int rowBase=bi*TILE+ty*RPT; int colBase=bj*TILE+tx*RPT;\n if(bi>bj){\n #pragma unroll\n for(int ii=0;ii<RPT;++ii){\n int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<RPT;++jj) C[r*N+colBase+jj]=0.0f;\n }\n return;\n }\n __shared__ float As[TILE][TILE+1];\n __shared__ float Bs[TILE][TILE+1];\n float c[4][4];\n #pragma unroll\n for(int i=0;i<4;i++) #pragma unroll\n for(int j=0;j<4;j++) c[i][j]=0.0f;\n #pragma unroll 1\n for(int bk=bi; bk<=bj; ++bk){\n int kbase=bk*TILE;\n #pragma unroll\n for(int q=0;q<16;++q){\n int idx=tid+q*256; int lr=idx>>6; int lc=idx&63;\n As[lr][lc]=A[(bi*TILE+lr)*N + kbase+lc];\n Bs[lr][lc]=B[(kbase+lr)*N + bj*TILE+lc];\n }\n __syncthreads();\n #pragma unroll\n for(int k=0;k<TILE;++k){\n float a0=As[ty*4+0][k]; float a1=As[ty*4+1][k]; float a2=As[ty*4+2][k]; float a3=As[ty*4+3][k];\n float b0=Bs[k][tx*4+0]; float b1=Bs[k][tx*4+1]; float b2=Bs[k][tx*4+2]; float b3=Bs[k][tx*4+3];\n c[0][0]=fmaf(a0,b0,c[0][0]); c[0][1]=fmaf(a0,b1,c[0][1]); c[0][2]=fmaf(a0,b2,c[0][2]); c[0][3]=fmaf(a0,b3,c[0][3]);\n c[1][0]=fmaf(a1,b0,c[1][0]); c[1][1]=fmaf(a1,b1,c[1][1]); c[1][2]=fmaf(a1,b2,c[1][2]); c[1][3]=fmaf(a1,b3,c[1][3]);\n c[2][0]=fmaf(a2,b0,c[2][0]); c[2][1]=fmaf(a2,b1,c[2][1]); c[2][2]=fmaf(a2,b2,c[2][2]); c[2][3]=fmaf(a2,b3,c[2][3]);\n c[3][0]=fmaf(a3,b0,c[3][0]); c[3][1]=fmaf(a3,b1,c[3][1]); c[3][2]=fmaf(a3,b2,c[3][2]); c[3][3]=fmaf(a3,b3,c[3][3]);\n }\n __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;++ii){ int r=rowBase+ii; #pragma unroll\n for(int jj=0;jj<4;++jj) C[r*N+colBase+jj]=c[ii][jj]; }\n}\ntorch::Tensor triu_mm_cuda(torch::Tensor A,torch::Tensor B){int N=(int)A.size(0); auto C=torch::empty_like(A); dim3 block(16,16); dim3 grid((N+63)/64,(N+63)/64); tri64_kernel<<<grid,block>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N); return C;}\n'''\n_ext=load_inline(name='tri_mm_custom64_v1',cpp_sources=cpp_src,cuda_sources=cuda_src,functions=['triu_mm'],with_cuda=True,extra_cflags=['-O3'],extra_cuda_cflags=['-O3'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,A,B): return _ext.triu_mm(A,B)\n" }
result ← compile_kernel (fail)
failcompile_kernel compile_kernel FAILED: RuntimeError. RuntimeError: Error building extension 'tri_mm_custom64_v1': [1/3] /opt/conda/bin/x86_64-conda-linux-gnu-c++ -MMD -MF main.o.d -DTORCH_EXTENSION_NAME=tri_mm_custom64_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -fPIC -std=c++17 -O3 -c /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_3e964f967e7f/tri_mm_custom64_v1/main.cpp -o main.o [2/3] /usr/local/cuda/bin/nvcc -MD -MF cuda.cuda.o.d -ccbin /opt/conda/bin/x86_64-conda-linux-gnu-cc -DTORCH_EXTENSION_NAME=tri_mm_custom64_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -D__CUDA_NO_HALF_OPERATORS__ -D__CUDA_NO_HALF_CONVERSIONS__ -D__CUDA_NO_BFLOAT16_CONVERSIONS__ -D__CUDA_NO_HALF2_OPERATORS__ --expt-relaxed-constexpr -gencode=arch=compute_90,code=compute_90 -gencode=arch=compute_90,code=sm_90 --compiler-options '-fPIC' -O3 -std=c++17 -c /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_3e964f967e7f/tri_mm_custom64_v1/cuda.cu -o cuda.cuda.o FAILED: [code=2] cuda.cuda.o /usr/local/cuda/bin/nvcc -MD -MF cuda.cuda.o.d -ccbin /opt/conda/bin/x86_64-conda-linux-gnu-cc -DTORCH_EXTENSION_NAME=tri_mm_custom64_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -D__CUDA_NO_HALF_OPERATORS__ -D__CUDA_NO_HALF_CONVERSIONS__ -D__CUDA_NO_BFLOAT16_CONVERSIONS__ -D__CUDA_NO_HALF2_OPERATORS__ --expt-relaxed-constexpr -gencode=arch=compute_90,code=compute_90 -gencode=arch=compute_90,code=sm_90 --compiler-options '-fPIC' -O3 -std=c++17 -c /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_3e964f967e7f/tri_mm_custom64_v1/cuda.cu -o cuda.cuda.o nvcc warning : incompatible redefinition for option 'compiler-bindir', the last value of this option was used /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_3e964f967e7f/tri_mm_custom64_v1/cuda.cu(27): error: "#" not expected here for(int i=0;i<4;i++) #pragma unroll ^ /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_3e964f967e7f/tri_mm_custom64_v1/cuda.cu(27): error: expected an expression for(int i=0;i<4;i++) #pragma unroll ^ /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_3e964f967e7f/tri_mm_custom64_v1/cuda.cu(51): error: "#" not expected here for(int ii=0;ii<4;++ii){ int r=rowBase+ii; #pragma unroll ^ /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_3e964f967e7f/tri_mm_custom64_v1/cuda.cu(51): error: expected an expression for(int ii=0;ii<4;++ii){ int r=rowBase+ii; #pragma unroll ^ 4 errors detected in the compilation of "/scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_3e964f967e7f/tri_mm_custom64_v1/cuda.cu". ninja: build stopped: subcommand failed.
turn 87.9s turn · 7.9s LLM · 0.0s tools
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\ncpp_src=r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B){return triu_mm_cuda(A,B);} \n'''\ncuda_src=r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define TILE 64\n#define TS 16\n#define RPT 4\n__global__ void tri64_kernel(const float* __restrict__ A,const float* __restrict__ B,float* __restrict__ C,int N){\n int bj=blockIdx.x, bi=blockIdx.y; int tx=threadIdx.x, ty=threadIdx.y; int tid=ty*TS+tx;\n int rowBase=bi*TILE+ty*RPT; int colBase=bj*TILE+tx*RPT;\n if(bi>bj){\n #pragma unroll\n for(int ii=0;ii<RPT;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<RPT;++jj) C[r*N+colBase+jj]=0.0f;\n }\n return;\n }\n __shared__ float As[TILE][TILE+1];\n __shared__ float Bs[TILE][TILE+1];\n float c[4][4];\n #pragma unroll\n for(int i=0;i<4;i++){\n #pragma unroll\n for(int j=0;j<4;j++) c[i][j]=0.0f;\n }\n #pragma unroll 1\n for(int bk=bi; bk<=bj; ++bk){\n int kbase=bk*TILE;\n #pragma unroll\n for(int q=0;q<16;++q){\n int idx=tid+q*256; int lr=idx>>6; int lc=idx&63;\n As[lr][lc]=A[(bi*TILE+lr)*N + kbase+lc];\n Bs[lr][lc]=B[(kbase+lr)*N + bj*TILE+lc];\n }\n __syncthreads();\n #pragma unroll\n for(int k=0;k<TILE;++k){\n float a0=As[ty*4+0][k]; float a1=As[ty*4+1][k]; float a2=As[ty*4+2][k]; float a3=As[ty*4+3][k];\n float b0=Bs[k][tx*4+0]; float b1=Bs[k][tx*4+1]; float b2=Bs[k][tx*4+2]; float b3=Bs[k][tx*4+3];\n c[0][0]=fmaf(a0,b0,c[0][0]); c[0][1]=fmaf(a0,b1,c[0][1]); c[0][2]=fmaf(a0,b2,c[0][2]); c[0][3]=fmaf(a0,b3,c[0][3]);\n c[1][0]=fmaf(a1,b0,c[1][0]); c[1][1]=fmaf(a1,b1,c[1][1]); c[1][2]=fmaf(a1,b2,c[1][2]); c[1][3]=fmaf(a1,b3,c[1][3]);\n c[2][0]=fmaf(a2,b0,c[2][0]); c[2][1]=fmaf(a2,b1,c[2][1]); c[2][2]=fmaf(a2,b2,c[2][2]); c[2][3]=fmaf(a2,b3,c[2][3]);\n c[3][0]=fmaf(a3,b0,c[3][0]); c[3][1]=fmaf(a3,b1,c[3][1]); c[3][2]=fmaf(a3,b2,c[3][2]); c[3][3]=fmaf(a3,b3,c[3][3]);\n }\n __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<4;++jj) C[r*N+colBase+jj]=c[ii][jj];\n }\n}\ntorch::Tensor triu_mm_cuda(torch::Tensor A,torch::Tensor B){int N=(int)A.size(0); auto C=torch::empty_like(A); dim3 block(16,16); dim3 grid((N+63)/64,(N+63)/64); tri64_kernel<<<grid,block>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N); return C;}\n'''\n_ext=load_inline(name='tri_mm_custom64_v2',cpp_sources=cpp_src,cuda_sources=cuda_src,functions=['triu_mm'],with_cuda=True,extra_cflags=['-O3'],extra_cuda_cflags=['-O3'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,A,B): return _ext.triu_mm(A,B)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 97.6s turn · 7.6s LLM · 0.0s tools
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\ncpp_src=r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B){return triu_mm_cuda(A,B);} \n'''\ncuda_src=r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define TILE 64\n#define TS 16\n#define RPT 4\n__global__ void tri64_kernel(const float* __restrict__ A,const float* __restrict__ B,float* __restrict__ C,int N){\n int bj=blockIdx.x, bi=blockIdx.y; int tx=threadIdx.x, ty=threadIdx.y; int tid=ty*TS+tx;\n int rowBase=bi*TILE+ty*RPT; int colBase=bj*TILE+tx*RPT;\n if(bi>bj){\n #pragma unroll\n for(int ii=0;ii<RPT;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<RPT;++jj) C[r*N+colBase+jj]=0.0f;\n }\n return;\n }\n __shared__ float As[TILE][TILE+1];\n __shared__ float Bs[TILE][TILE+1];\n float c[4][4];\n #pragma unroll\n for(int i=0;i<4;i++){\n #pragma unroll\n for(int j=0;j<4;j++) c[i][j]=0.0f;\n }\n #pragma unroll 1\n for(int bk=bi; bk<=bj; ++bk){\n int kbase=bk*TILE;\n #pragma unroll\n for(int q=0;q<16;++q){\n int idx=tid+q*256; int lr=idx>>6; int lc=idx&63;\n As[lr][lc]=A[(bi*TILE+lr)*N + kbase+lc];\n Bs[lr][lc]=B[(kbase+lr)*N + bj*TILE+lc];\n }\n __syncthreads();\n #pragma unroll\n for(int k=0;k<TILE;++k){\n float a0=As[ty*4+0][k]; float a1=As[ty*4+1][k]; float a2=As[ty*4+2][k]; float a3=As[ty*4+3][k];\n float b0=Bs[k][tx*4+0]; float b1=Bs[k][tx*4+1]; float b2=Bs[k][tx*4+2]; float b3=Bs[k][tx*4+3];\n c[0][0]=fmaf(a0,b0,c[0][0]); c[0][1]=fmaf(a0,b1,c[0][1]); c[0][2]=fmaf(a0,b2,c[0][2]); c[0][3]=fmaf(a0,b3,c[0][3]);\n c[1][0]=fmaf(a1,b0,c[1][0]); c[1][1]=fmaf(a1,b1,c[1][1]); c[1][2]=fmaf(a1,b2,c[1][2]); c[1][3]=fmaf(a1,b3,c[1][3]);\n c[2][0]=fmaf(a2,b0,c[2][0]); c[2][1]=fmaf(a2,b1,c[2][1]); c[2][2]=fmaf(a2,b2,c[2][2]); c[2][3]=fmaf(a2,b3,c[2][3]);\n c[3][0]=fmaf(a3,b0,c[3][0]); c[3][1]=fmaf(a3,b1,c[3][1]); c[3][2]=fmaf(a3,b2,c[3][2]); c[3][3]=fmaf(a3,b3,c[3][3]);\n }\n __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<4;++jj) C[r*N+colBase+jj]=c[ii][jj];\n }\n}\ntorch::Tensor triu_mm_cuda(torch::Tensor A,torch::Tensor B){int N=(int)A.size(0); auto C=torch::empty_like(A); dim3 block(16,16); dim3 grid((N+63)/64,(N+63)/64); tri64_kernel<<<grid,block>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N); return C;}\n'''\n_ext=load_inline(name='tri_mm_custom64_v2c',cpp_sources=cpp_src,cuda_sources=cuda_src,functions=['triu_mm'],with_cuda=True,extra_cflags=['-O3'],extra_cuda_cflags=['-O3'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,A,B): return _ext.triu_mm(A,B)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
turn 108.7s turn · 8.7s LLM · 0.0s tools
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\ncpp_src=r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B){return triu_mm_cuda(A,B);} \n'''\ncuda_src=r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define TILE 64\n#define TS 16\n#define RPT 4\n__global__ void tri64_kernel(const float* __restrict__ A,const float* __restrict__ B,float* __restrict__ C,int N){\n int bj=blockIdx.x, bi=blockIdx.y; int tx=threadIdx.x, ty=threadIdx.y; int tid=ty*TS+tx;\n int rowBase=bi*TILE+ty*RPT; int colBase=bj*TILE+tx*RPT;\n if(bi>bj){\n #pragma unroll\n for(int ii=0;ii<RPT;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<RPT;++jj) C[r*N+colBase+jj]=0.0f;\n }\n return;\n }\n __shared__ float As[TILE][TILE+1];\n __shared__ float Bs[TILE][TILE+1];\n float c[4][4];\n #pragma unroll\n for(int i=0;i<4;i++){\n #pragma unroll\n for(int j=0;j<4;j++) c[i][j]=0.0f;\n }\n #pragma unroll 1\n for(int bk=bi; bk<=bj; ++bk){\n int kbase=bk*TILE;\n #pragma unroll\n for(int q=0;q<16;++q){\n int idx=tid+q*256; int lr=idx>>6; int lc=idx&63;\n As[lr][lc]=A[(bi*TILE+lr)*N + kbase+lc];\n Bs[lr][lc]=B[(kbase+lr)*N + bj*TILE+lc];\n }\n __syncthreads();\n #pragma unroll\n for(int k=0;k<TILE;++k){\n float a0=As[ty*4+0][k]; float a1=As[ty*4+1][k]; float a2=As[ty*4+2][k]; float a3=As[ty*4+3][k];\n float b0=Bs[k][tx*4+0]; float b1=Bs[k][tx*4+1]; float b2=Bs[k][tx*4+2]; float b3=Bs[k][tx*4+3];\n c[0][0]=fmaf(a0,b0,c[0][0]); c[0][1]=fmaf(a0,b1,c[0][1]); c[0][2]=fmaf(a0,b2,c[0][2]); c[0][3]=fmaf(a0,b3,c[0][3]);\n c[1][0]=fmaf(a1,b0,c[1][0]); c[1][1]=fmaf(a1,b1,c[1][1]); c[1][2]=fmaf(a1,b2,c[1][2]); c[1][3]=fmaf(a1,b3,c[1][3]);\n c[2][0]=fmaf(a2,b0,c[2][0]); c[2][1]=fmaf(a2,b1,c[2][1]); c[2][2]=fmaf(a2,b2,c[2][2]); c[2][3]=fmaf(a2,b3,c[2][3]);\n c[3][0]=fmaf(a3,b0,c[3][0]); c[3][1]=fmaf(a3,b1,c[3][1]); c[3][2]=fmaf(a3,b2,c[3][2]); c[3][3]=fmaf(a3,b3,c[3][3]);\n }\n __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<4;++jj) C[r*N+colBase+jj]=c[ii][jj];\n }\n}\ntorch::Tensor triu_mm_cuda(torch::Tensor A,torch::Tensor B){int N=(int)A.size(0); auto C=torch::empty_like(A); dim3 block(16,16); dim3 grid((N+63)/64,(N+63)/64); tri64_kernel<<<grid,block>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N); return C;}\n'''\n_ext=load_inline(name='tri_mm_custom64_v2p',cpp_sources=cpp_src,cuda_sources=cuda_src,functions=['triu_mm'],with_cuda=True,extra_cflags=['-O3'],extra_cuda_cflags=['-O3'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,A,B): return _ext.triu_mm(A,B)\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::empty_like 496.0μs (52%) calls=1 #2: aten::empty_strided 467.0μs (48%) calls=1 --- Timing --- GPU time: 918.59 μs [↓407.9μs ok] --- Memory Bandwidth --- DRAM BW: 147.9/3350 GB/s (4.4%) [↑1.1% ok] read=95.2 write=52.8 GB/s Hit rates: L2=89.2% --- Compute Throughput --- Dominant pipe: FP32 util=44.9% [↑13.0% ok] Pipe util: FMA=44.9%, Tensor=0.0% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 24.8% [↓49.3% REGRESSED] Eligible warps/cycle: 0.89 WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism Launch: regs/thread=88, smem/blk=34304B, block=256, grid=4096 --- Memory Access Quality --- Global ld coalescing: 4.00 sectors/req (4.0x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- short_scoreboard 353.0% #################### long_scoreboard 62.4% ############ mio_throttle 19.3% ### --- Optimization Hints --- -> 353% stalls: shared memory / L1 / MIO dependency. Check smem layout for bank conflicts, double-buffer, or async copies. -> Global load coalescing=4.0x (ideal=1.0) -> 4x wasted DRAM BW. Make per-warp accesses contiguous. -> Low occupancy (25%) limited by registers (88/thread), shared memory (34304B/block). Consider __launch_bounds__ or reducing register pressure. -> Low eligible warps + low BW% + low compute% = LATENCY-BOUND. Need more parallelism (larger grid, more ILP, prefetching). -> Compute-bound but NOT using tensor cores. If applicable, use FP16/BF16 with torch.matmul or WMMA intrinsics. --- Delta vs Previous Iteration --- GPU time: 1326.50→918.59μs (↓407.90) ok DRAM BW%: 3.36→4.42% (↑1.06) ok Compute%: 31.91→44.92% (↑13.00) ok Occupancy: 74.06→24.76% (↓49.30) REGRESSED Eligible warps/cyc: 1.53→0.89 (↓0.64) REGRESSED L2 hit%: 92.06→89.21% (↓2.85) REGRESSED
turn 1120.9s turn · 20.9s LLM · 0.0s tools
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\ncpp_src=r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B){return triu_mm_cuda(A,B);} \n'''\ncuda_src=r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define TILE 128\n#define TS 16\n#define RPT 8\n__global__ void tri128_kernel(const float* __restrict__ A,const float* __restrict__ B,float* __restrict__ C,int N){\n int bj=blockIdx.x, bi=blockIdx.y; int tx=threadIdx.x, ty=threadIdx.y; int tid=ty*TS+tx;\n int rowBase=bi*TILE+ty*RPT; int colBase=bj*TILE+tx*RPT;\n if(bi>bj){\n #pragma unroll\n for(int ii=0;ii<RPT;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<RPT;++jj) C[r*N+colBase+jj]=0.0f;\n }\n return;\n }\n __shared__ float As[TILE][TILE+1];\n __shared__ float Bs[TILE][TILE+1];\n float c[8][8];\n #pragma unroll\n for(int i=0;i<8;i++){\n #pragma unroll\n for(int j=0;j<8;j++) c[i][j]=0.0f;\n }\n #pragma unroll 1\n for(int bk=bi; bk<=bj; ++bk){\n int kbase=bk*TILE;\n #pragma unroll\n for(int q=0;q<64;++q){\n int idx=tid+q*256; int lr=idx>>7; int lc=idx&127;\n As[lr][lc]=A[(bi*TILE+lr)*N + kbase+lc];\n Bs[lr][lc]=B[(kbase+lr)*N + bj*TILE+lc];\n }\n __syncthreads();\n #pragma unroll\n for(int k=0;k<TILE;++k){\n float a[8], b[8];\n #pragma unroll\n for(int i=0;i<8;i++) a[i]=As[ty*8+i][k];\n #pragma unroll\n for(int j=0;j<8;j++) b[j]=Bs[k][tx*8+j];\n #pragma unroll\n for(int i=0;i<8;i++){\n #pragma unroll\n for(int j=0;j<8;j++) c[i][j]=fmaf(a[i],b[j],c[i][j]);\n }\n }\n __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<8;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<8;++jj) C[r*N+colBase+jj]=c[ii][jj];\n }\n}\ntorch::Tensor triu_mm_cuda(torch::Tensor A,torch::Tensor B){int N=(int)A.size(0); auto C=torch::empty_like(A); dim3 block(16,16); dim3 grid((N+127)/128,(N+127)/128); tri128_kernel<<<grid,block>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N); return C;}\n'''\n_ext=load_inline(name='tri_mm_custom128_v1',cpp_sources=cpp_src,cuda_sources=cuda_src,functions=['triu_mm'],with_cuda=True,extra_cflags=['-O3'],extra_cuda_cflags=['-O3'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,A,B): return _ext.triu_mm(A,B)\n" }
result ← compile_kernel (fail)
failcompile_kernel compile_kernel FAILED: RuntimeError. RuntimeError: Error building extension 'tri_mm_custom128_v1': [1/3] /opt/conda/bin/x86_64-conda-linux-gnu-c++ -MMD -MF main.o.d -DTORCH_EXTENSION_NAME=tri_mm_custom128_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -fPIC -std=c++17 -O3 -c /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_a4ae28e18ecc/tri_mm_custom128_v1/main.cpp -o main.o [2/3] /usr/local/cuda/bin/nvcc -MD -MF cuda.cuda.o.d -ccbin /opt/conda/bin/x86_64-conda-linux-gnu-cc -DTORCH_EXTENSION_NAME=tri_mm_custom128_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -D__CUDA_NO_HALF_OPERATORS__ -D__CUDA_NO_HALF_CONVERSIONS__ -D__CUDA_NO_BFLOAT16_CONVERSIONS__ -D__CUDA_NO_HALF2_OPERATORS__ --expt-relaxed-constexpr -gencode=arch=compute_90,code=compute_90 -gencode=arch=compute_90,code=sm_90 --compiler-options '-fPIC' -O3 -std=c++17 -c /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_a4ae28e18ecc/tri_mm_custom128_v1/cuda.cu -o cuda.cuda.o FAILED: [code=255] cuda.cuda.o /usr/local/cuda/bin/nvcc -MD -MF cuda.cuda.o.d -ccbin /opt/conda/bin/x86_64-conda-linux-gnu-cc -DTORCH_EXTENSION_NAME=tri_mm_custom128_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -D__CUDA_NO_HALF_OPERATORS__ -D__CUDA_NO_HALF_CONVERSIONS__ -D__CUDA_NO_BFLOAT16_CONVERSIONS__ -D__CUDA_NO_HALF2_OPERATORS__ --expt-relaxed-constexpr -gencode=arch=compute_90,code=compute_90 -gencode=arch=compute_90,code=sm_90 --compiler-options '-fPIC' -O3 -std=c++17 -c /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_14_cache/k_a4ae28e18ecc/tri_mm_custom128_v1/cuda.cu -o cuda.cuda.o nvcc warning : incompatible redefinition for option 'compiler-bindir', the last value of this option was used ptxas error : Entry function '_Z13tri128_kernelPKfS0_Pfi' uses too much shared data (0x20400 bytes, 0xc000 max) ninja: build stopped: subcommand failed.
turn 1211.6s turn · 11.6s LLM · 0.0s tools
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\ncpp_src=r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B){return triu_mm_cuda(A,B);} \n'''\ncuda_src=r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define TILE 128\n#define TS 16\n#define RPT 8\n__global__ void tri128_kernel(const float* __restrict__ A,const float* __restrict__ B,float* __restrict__ C,int N){\n int bj=blockIdx.x, bi=blockIdx.y; int tx=threadIdx.x, ty=threadIdx.y; int tid=ty*TS+tx;\n int rowBase=bi*TILE+ty*RPT; int colBase=bj*TILE+tx*RPT;\n if(bi>bj){\n #pragma unroll\n for(int ii=0;ii<RPT;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<RPT;++jj) C[r*N+colBase+jj]=0.0f;\n }\n return;\n }\n extern __shared__ float sm[];\n float* As=sm; float* Bs=sm + TILE*(TILE+1);\n float c[8][8];\n #pragma unroll\n for(int i=0;i<8;i++){\n #pragma unroll\n for(int j=0;j<8;j++) c[i][j]=0.0f;\n }\n #pragma unroll 1\n for(int bk=bi; bk<=bj; ++bk){\n int kbase=bk*TILE;\n #pragma unroll\n for(int q=0;q<64;++q){\n int idx=tid+q*256; int lr=idx>>7; int lc=idx&127;\n As[lr*(TILE+1)+lc]=A[(bi*TILE+lr)*N + kbase+lc];\n Bs[lr*(TILE+1)+lc]=B[(kbase+lr)*N + bj*TILE+lc];\n }\n __syncthreads();\n #pragma unroll\n for(int k=0;k<TILE;++k){\n float a[8], b[8];\n #pragma unroll\n for(int i=0;i<8;i++) a[i]=As[(ty*8+i)*(TILE+1)+k];\n #pragma unroll\n for(int j=0;j<8;j++) b[j]=Bs[k*(TILE+1)+tx*8+j];\n #pragma unroll\n for(int i=0;i<8;i++){\n #pragma unroll\n for(int j=0;j<8;j++) c[i][j]=fmaf(a[i],b[j],c[i][j]);\n }\n }\n __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<8;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<8;++jj) C[r*N+colBase+jj]=c[ii][jj];\n }\n}\ntorch::Tensor triu_mm_cuda(torch::Tensor A,torch::Tensor B){int N=(int)A.size(0); auto C=torch::empty_like(A); dim3 block(16,16); dim3 grid((N+127)/128,(N+127)/128); int smem=2*TILE*(TILE+1)*sizeof(float); cudaFuncSetAttribute(tri128_kernel,cudaFuncAttributeMaxDynamicSharedMemorySize,smem); tri128_kernel<<<grid,block,smem>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N); return C;}\n'''\n_ext=load_inline(name='tri_mm_custom128_dyn_v1',cpp_sources=cpp_src,cuda_sources=cuda_src,functions=['triu_mm'],with_cuda=True,extra_cflags=['-O3'],extra_cuda_cflags=['-O3'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,A,B): return _ext.triu_mm(A,B)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 137.4s turn · 7.4s LLM · 0.0s tools
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\ncpp_src=r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B){return triu_mm_cuda(A,B);} \n'''\ncuda_src=r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define TILE 128\n#define TS 16\n#define RPT 8\n__global__ void tri128_kernel(const float* __restrict__ A,const float* __restrict__ B,float* __restrict__ C,int N){\n int bj=blockIdx.x, bi=blockIdx.y; int tx=threadIdx.x, ty=threadIdx.y; int tid=ty*TS+tx;\n int rowBase=bi*TILE+ty*RPT; int colBase=bj*TILE+tx*RPT;\n if(bi>bj){\n #pragma unroll\n for(int ii=0;ii<RPT;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<RPT;++jj) C[r*N+colBase+jj]=0.0f;\n }\n return;\n }\n extern __shared__ float sm[];\n float* As=sm; float* Bs=sm + TILE*(TILE+1);\n float c[8][8];\n #pragma unroll\n for(int i=0;i<8;i++){\n #pragma unroll\n for(int j=0;j<8;j++) c[i][j]=0.0f;\n }\n #pragma unroll 1\n for(int bk=bi; bk<=bj; ++bk){\n int kbase=bk*TILE;\n #pragma unroll\n for(int q=0;q<64;++q){\n int idx=tid+q*256; int lr=idx>>7; int lc=idx&127;\n As[lr*(TILE+1)+lc]=A[(bi*TILE+lr)*N + kbase+lc];\n Bs[lr*(TILE+1)+lc]=B[(kbase+lr)*N + bj*TILE+lc];\n }\n __syncthreads();\n #pragma unroll\n for(int k=0;k<TILE;++k){\n float a[8], b[8];\n #pragma unroll\n for(int i=0;i<8;i++) a[i]=As[(ty*8+i)*(TILE+1)+k];\n #pragma unroll\n for(int j=0;j<8;j++) b[j]=Bs[k*(TILE+1)+tx*8+j];\n #pragma unroll\n for(int i=0;i<8;i++){\n #pragma unroll\n for(int j=0;j<8;j++) c[i][j]=fmaf(a[i],b[j],c[i][j]);\n }\n }\n __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<8;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<8;++jj) C[r*N+colBase+jj]=c[ii][jj];\n }\n}\ntorch::Tensor triu_mm_cuda(torch::Tensor A,torch::Tensor B){int N=(int)A.size(0); auto C=torch::empty_like(A); dim3 block(16,16); dim3 grid((N+127)/128,(N+127)/128); int smem=2*TILE*(TILE+1)*sizeof(float); cudaFuncSetAttribute(tri128_kernel,cudaFuncAttributeMaxDynamicSharedMemorySize,smem); tri128_kernel<<<grid,block,smem>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N); return C;}\n'''\n_ext=load_inline(name='tri_mm_custom128_dyn_v1c',cpp_sources=cpp_src,cuda_sources=cuda_src,functions=['triu_mm'],with_cuda=True,extra_cflags=['-O3'],extra_cuda_cflags=['-O3'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,A,B): return _ext.triu_mm(A,B)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
turn 149.7s turn · 9.7s LLM · 0.0s tools · FINAL
call → submit_kernel
callsubmit_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_src = r'''\n#include <torch/extension.h>\ntorch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);\ntorch::Tensor triu_mm(torch::Tensor A, torch::Tensor B) { return triu_mm_cuda(A,B); }\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define TILE 64\n#define TS 16\n#define RPT 4\n__global__ void tri64_kernel(const float* __restrict__ A,const float* __restrict__ B,float* __restrict__ C,int N){\n int bj=blockIdx.x, bi=blockIdx.y; int tx=threadIdx.x, ty=threadIdx.y; int tid=ty*TS+tx;\n int rowBase=bi*TILE+ty*RPT; int colBase=bj*TILE+tx*RPT;\n if(bi>bj){\n #pragma unroll\n for(int ii=0;ii<RPT;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<RPT;++jj) C[r*N+colBase+jj]=0.0f;\n }\n return;\n }\n __shared__ float As[TILE][TILE+1];\n __shared__ float Bs[TILE][TILE+1];\n float c[4][4];\n #pragma unroll\n for(int i=0;i<4;i++){\n #pragma unroll\n for(int j=0;j<4;j++) c[i][j]=0.0f;\n }\n #pragma unroll 1\n for(int bk=bi; bk<=bj; ++bk){\n int kbase=bk*TILE;\n #pragma unroll\n for(int q=0;q<16;++q){\n int idx=tid+q*256; int lr=idx>>6; int lc=idx&63;\n As[lr][lc]=A[(bi*TILE+lr)*N + kbase+lc];\n Bs[lr][lc]=B[(kbase+lr)*N + bj*TILE+lc];\n }\n __syncthreads();\n #pragma unroll\n for(int k=0;k<TILE;++k){\n float a0=As[ty*4+0][k]; float a1=As[ty*4+1][k]; float a2=As[ty*4+2][k]; float a3=As[ty*4+3][k];\n float b0=Bs[k][tx*4+0]; float b1=Bs[k][tx*4+1]; float b2=Bs[k][tx*4+2]; float b3=Bs[k][tx*4+3];\n c[0][0]=fmaf(a0,b0,c[0][0]); c[0][1]=fmaf(a0,b1,c[0][1]); c[0][2]=fmaf(a0,b2,c[0][2]); c[0][3]=fmaf(a0,b3,c[0][3]);\n c[1][0]=fmaf(a1,b0,c[1][0]); c[1][1]=fmaf(a1,b1,c[1][1]); c[1][2]=fmaf(a1,b2,c[1][2]); c[1][3]=fmaf(a1,b3,c[1][3]);\n c[2][0]=fmaf(a2,b0,c[2][0]); c[2][1]=fmaf(a2,b1,c[2][1]); c[2][2]=fmaf(a2,b2,c[2][2]); c[2][3]=fmaf(a2,b3,c[2][3]);\n c[3][0]=fmaf(a3,b0,c[3][0]); c[3][1]=fmaf(a3,b1,c[3][1]); c[3][2]=fmaf(a3,b2,c[3][2]); c[3][3]=fmaf(a3,b3,c[3][3]);\n }\n __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;++ii){ int r=rowBase+ii;\n #pragma unroll\n for(int jj=0;jj<4;++jj) C[r*N+colBase+jj]=c[ii][jj];\n }\n}\ntorch::Tensor triu_mm_cuda(torch::Tensor A,torch::Tensor B){int N=(int)A.size(0); auto C=torch::empty_like(A); dim3 block(16,16); dim3 grid((N+63)/64,(N+63)/64); tri64_kernel<<<grid,block>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N); return C;}\n'''\n_ext=load_inline(name='tri_mm_custom64_final',cpp_sources=cpp_src,cuda_sources=cuda_src,functions=['triu_mm'],with_cuda=True,extra_cflags=['-O3'],extra_cuda_cflags=['-O3'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,A,B): return _ext.triu_mm(A,B)\n" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (5 / 5) correctness trials all passed. Kernel runtime: 0.92 μs Runtime stats: mean=0.92μs median=?μs std=0.00μs Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00 Memory: 225.0 MB peak (ref: 289.0 MB, ratio: 0.7785x) Kernel launches: 2 (ref: 3, fusion ratio: 1.5) SOL score: 0.45
final submitted kernel (70 lines, 2,753 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

cpp_src = r'''
#include <torch/extension.h>
torch::Tensor triu_mm_cuda(torch::Tensor A, torch::Tensor B);
torch::Tensor triu_mm(torch::Tensor A, torch::Tensor B) { return triu_mm_cuda(A,B); }
'''

cuda_src = r'''
#include <torch/extension.h>
#include <cuda.h>
#include <cuda_runtime.h>
#define TILE 64
#define TS 16
#define RPT 4
__global__ void tri64_kernel(const float* __restrict__ A,const float* __restrict__ B,float* __restrict__ C,int N){
 int bj=blockIdx.x, bi=blockIdx.y; int tx=threadIdx.x, ty=threadIdx.y; int tid=ty*TS+tx;
 int rowBase=bi*TILE+ty*RPT; int colBase=bj*TILE+tx*RPT;
 if(bi>bj){
  #pragma unroll
  for(int ii=0;ii<RPT;++ii){ int r=rowBase+ii;
   #pragma unroll
   for(int jj=0;jj<RPT;++jj) C[r*N+colBase+jj]=0.0f;
  }
  return;
 }
 __shared__ float As[TILE][TILE+1];
 __shared__ float Bs[TILE][TILE+1];
 float c[4][4];
 #pragma unroll
 for(int i=0;i<4;i++){
  #pragma unroll
  for(int j=0;j<4;j++) c[i][j]=0.0f;
 }
 #pragma unroll 1
 for(int bk=bi; bk<=bj; ++bk){
  int kbase=bk*TILE;
  #pragma unroll
  for(int q=0;q<16;++q){
   int idx=tid+q*256; int lr=idx>>6; int lc=idx&63;
   As[lr][lc]=A[(bi*TILE+lr)*N + kbase+lc];
   Bs[lr][lc]=B[(kbase+lr)*N + bj*TILE+lc];
  }
  __syncthreads();
  #pragma unroll
  for(int k=0;k<TILE;++k){
   float a0=As[ty*4+0][k]; float a1=As[ty*4+1][k]; float a2=As[ty*4+2][k]; float a3=As[ty*4+3][k];
   float b0=Bs[k][tx*4+0]; float b1=Bs[k][tx*4+1]; float b2=Bs[k][tx*4+2]; float b3=Bs[k][tx*4+3];
   c[0][0]=fmaf(a0,b0,c[0][0]); c[0][1]=fmaf(a0,b1,c[0][1]); c[0][2]=fmaf(a0,b2,c[0][2]); c[0][3]=fmaf(a0,b3,c[0][3]);
   c[1][0]=fmaf(a1,b0,c[1][0]); c[1][1]=fmaf(a1,b1,c[1][1]); c[1][2]=fmaf(a1,b2,c[1][2]); c[1][3]=fmaf(a1,b3,c[1][3]);
   c[2][0]=fmaf(a2,b0,c[2][0]); c[2][1]=fmaf(a2,b1,c[2][1]); c[2][2]=fmaf(a2,b2,c[2][2]); c[2][3]=fmaf(a2,b3,c[2][3]);
   c[3][0]=fmaf(a3,b0,c[3][0]); c[3][1]=fmaf(a3,b1,c[3][1]); c[3][2]=fmaf(a3,b2,c[3][2]); c[3][3]=fmaf(a3,b3,c[3][3]);
  }
  __syncthreads();
 }
 #pragma unroll
 for(int ii=0;ii<4;++ii){ int r=rowBase+ii;
  #pragma unroll
  for(int jj=0;jj<4;++jj) C[r*N+colBase+jj]=c[ii][jj];
 }
}
torch::Tensor triu_mm_cuda(torch::Tensor A,torch::Tensor B){int N=(int)A.size(0); auto C=torch::empty_like(A); dim3 block(16,16); dim3 grid((N+63)/64,(N+63)/64); tri64_kernel<<<grid,block>>>(A.data_ptr<float>(),B.data_ptr<float>(),C.data_ptr<float>(),N); return C;}
'''
_ext=load_inline(name='tri_mm_custom64_final',cpp_sources=cpp_src,cuda_sources=cuda_src,functions=['triu_mm'],with_cuda=True,extra_cflags=['-O3'],extra_cuda_cflags=['-O3'])
class ModelNew(nn.Module):
 def __init__(self): super(ModelNew,self).__init__()
 def forward(self,A,B): return _ext.triu_mm(A,B)