gpt-5.5-priority · original · l123_single_gpt
correct 5_Matrix_scalar_multiplication.py
model
gpt-5.5-priority
turns / max
1 / 1
tool calls
1
tokens (total)
0
wall clock
—
truncated
no
backend
cuda fp32
variant
original
runtime
3.26 μs
ref runtime
2.89 μs
speedup
0.89x
started
2026-05-05T00:02:02Z
timingkernelbench.timing
kernel runtime
3.26 μs
ref runtime
2.89 μs
speedup
0.89x
kernel mean / median / std
3.26 / — / 1.66 μs
ref mean / median / std
2.89 / — / 0.33 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
8225.00 MB
ref peak
8225.00 MB
kernel / ref
1.00x
kernel launches / fusiontorch.profiler
kernel launches
2
ref launches
1
fusion ratio (ref / kernel)
0.50x
total cuda time
82 μs
energyNVML (pynvml)
kernel mJ / run
1957.50
ref mJ / run
929.10
ratio (ref / kernel)
0.47x
avg power
632.99 W
ref avg power
325.95 W
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.848
dram util %
84.8%
compute util %
0.0%
bottleneck
unknown
dominant pipe
None
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
2841.73 GB/s
dram util %
84.8%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
82.9%
bottleneck
unknown
dominant pipe %
—
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
50.9%
ld sectors / req
16.00
st sectors / req
—
regs / thread
32
smem / block
1024 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
long_scoreboard
20068.4%
mio_throttle
1.7%
short_scoreboard
0.4%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn

class Model(nn.Module):
    """
    Simple model that performs a matrix-scalar multiplication (C = A * s)
    """
    def __init__(self):
        super(Model, self).__init__()
    
    def forward(self, A: torch.Tensor, s: float) -> torch.Tensor:
        """
        Performs matrix-scalar multiplication.

        Args:
            A: Input matrix of shape (M, N)
            s: Scalar value

        Returns:
            C: Resulting matrix of shape (M, N)
        """
        return A * s

M = 16384 * 4
N = 4096 * 4

def get_inputs():
    A = torch.rand(M, N)
    s = 3.14
    return [A, s]

def get_init_inputs():
    return []  # No special initialization inputs needed
turn 0146.7s turn · 146.7s 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\n_cpp_src = r\"\"\"\ntorch::Tensor scalar_mul_forward(torch::Tensor A, double s);\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <stdint.h>\n\n__global__ void scalar_mul_vec4_kernel(const float* __restrict__ A,\n float* __restrict__ C,\n float s,\n int64_t n4) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n const float4* __restrict__ Av = reinterpret_cast<const float4*>(A);\n float4* __restrict__ Cv = reinterpret_cast<float4*>(C);\n for (int64_t i = idx; i < n4; i += stride) {\n float4 v = Av[i];\n v.x *= s;\n v.y *= s;\n v.z *= s;\n v.w *= s;\n Cv[i] = v;\n }\n}\n\n__global__ void scalar_mul_kernel(const float* __restrict__ A,\n float* __restrict__ C,\n float s,\n int64_t n) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (int64_t i = idx; i < n; i += stride) {\n C[i] = A[i] * s;\n }\n}\n\ntorch::Tensor scalar_mul_forward(torch::Tensor A, double s) {\n auto C = torch::empty_like(A);\n const int64_t n = A.numel();\n if (n == 0) return C;\n const int threads = 256;\n int device = A.get_device();\n int sms = 0;\n cudaDeviceGetAttribute(&sms, cudaDevAttrMultiProcessorCount, device);\n // Enough blocks to saturate memory bandwidth without excessive launch overhead.\n int blocks = sms * 8;\n if (blocks < 1) blocks = 1;\n int64_t work = n;\n const float* Ap = A.data_ptr<float>();\n float* Cp = C.data_ptr<float>();\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n\n uintptr_t au = reinterpret_cast<uintptr_t>(Ap);\n uintptr_t cu = reinterpret_cast<uintptr_t>(Cp);\n if (((au | cu) & 15ULL) == 0ULL && (n % 4 == 0)) {\n work = n / 4;\n int64_t max_blocks = (work + threads - 1) / threads;\n if ((int64_t)blocks > max_blocks) blocks = (int)max_blocks;\n scalar_mul_vec4_kernel<<<blocks, threads, 0, stream>>>(Ap, Cp, (float)s, work);\n } else {\n int64_t max_blocks = (work + threads - 1) / threads;\n if ((int64_t)blocks > max_blocks) blocks = (int)max_blocks;\n scalar_mul_kernel<<<blocks, threads, 0, stream>>>(Ap, Cp, (float)s, work);\n }\n return C;\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"scalar_mul_ext_v1\",\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=[\"scalar_mul_forward\"],\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super(ModelNew, self).__init__()\n\n def forward(self, A: torch.Tensor, s: float) -> torch.Tensor:\n return _ext.scalar_mul_forward(A, float(s))\n" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (5 / 5) correctness trials all passed. Kernel runtime: 3.26 μs Runtime stats: mean=3.26μs median=?μs std=1.66μs Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00 Memory: 8225.0 MB peak (ref: 8225.0 MB, ratio: 1.0x) Kernel launches: 2 (ref: 1, fusion ratio: 0.5) Energy: 1957.5 mJ/run (ref: 929.1 mJ, ratio: 0.4746x) SOL score: 0.8483
final submitted kernel (93 lines, 3,100 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

_cpp_src = r"""
torch::Tensor scalar_mul_forward(torch::Tensor A, double s);
"""

_cuda_src = r"""
#include <torch/extension.h>
#include <ATen/cuda/CUDAContext.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include <stdint.h>

__global__ void scalar_mul_vec4_kernel(const float* __restrict__ A,
                                       float* __restrict__ C,
                                       float s,
                                       int64_t n4) {
    int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;
    int64_t stride = (int64_t)blockDim.x * gridDim.x;
    const float4* __restrict__ Av = reinterpret_cast<const float4*>(A);
    float4* __restrict__ Cv = reinterpret_cast<float4*>(C);
    for (int64_t i = idx; i < n4; i += stride) {
        float4 v = Av[i];
        v.x *= s;
        v.y *= s;
        v.z *= s;
        v.w *= s;
        Cv[i] = v;
    }
}

__global__ void scalar_mul_kernel(const float* __restrict__ A,
                                  float* __restrict__ C,
                                  float s,
                                  int64_t n) {
    int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;
    int64_t stride = (int64_t)blockDim.x * gridDim.x;
    for (int64_t i = idx; i < n; i += stride) {
        C[i] = A[i] * s;
    }
}

torch::Tensor scalar_mul_forward(torch::Tensor A, double s) {
    auto C = torch::empty_like(A);
    const int64_t n = A.numel();
    if (n == 0) return C;
    const int threads = 256;
    int device = A.get_device();
    int sms = 0;
    cudaDeviceGetAttribute(&sms, cudaDevAttrMultiProcessorCount, device);
    // Enough blocks to saturate memory bandwidth without excessive launch overhead.
    int blocks = sms * 8;
    if (blocks < 1) blocks = 1;
    int64_t work = n;
    const float* Ap = A.data_ptr<float>();
    float* Cp = C.data_ptr<float>();
    cudaStream_t stream = at::cuda::getCurrentCUDAStream();

    uintptr_t au = reinterpret_cast<uintptr_t>(Ap);
    uintptr_t cu = reinterpret_cast<uintptr_t>(Cp);
    if (((au | cu) & 15ULL) == 0ULL && (n % 4 == 0)) {
        work = n / 4;
        int64_t max_blocks = (work + threads - 1) / threads;
        if ((int64_t)blocks > max_blocks) blocks = (int)max_blocks;
        scalar_mul_vec4_kernel<<<blocks, threads, 0, stream>>>(Ap, Cp, (float)s, work);
    } else {
        int64_t max_blocks = (work + threads - 1) / threads;
        if ((int64_t)blocks > max_blocks) blocks = (int)max_blocks;
        scalar_mul_kernel<<<blocks, threads, 0, stream>>>(Ap, Cp, (float)s, work);
    }
    return C;
}
"""

_ext = load_inline(
    name="scalar_mul_ext_v1",
    cpp_sources=_cpp_src,
    cuda_sources=_cuda_src,
    functions=["scalar_mul_forward"],
    extra_cflags=["-O3"],
    extra_cuda_cflags=["-O3", "--use_fast_math"],
    verbose=False,
)

class ModelNew(nn.Module):
    def __init__(self):
        super(ModelNew, self).__init__()

    def forward(self, A: torch.Tensor, s: float) -> torch.Tensor:
        return _ext.scalar_mul_forward(A, float(s))