gpt-5.5-priority · original · l123_single_gpt
correct 19_ConvTranspose2d_GELU_GroupNorm.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
11.40 μs
ref runtime
12.30 μs
speedup
1.08x
started
2026-05-05T00:15:37Z
timingkernelbench.timing
kernel runtime
11.40 μs
ref runtime
12.30 μs
speedup
1.08x
kernel mean / median / std
11.40 / — / 0.42 μs
ref mean / median / std
12.30 / — / 0.44 μs
numerical precisioneval_kernel_against_ref
max abs error
1.43e-06
mean abs error
5.14e-08
max rel error
40.08
mean rel error
3.05e-07
gpu memoryextended_metrics.measure_memory
kernel peak
8289.68 MB
ref peak
8289.68 MB
kernel / ref
1.00x
kernel launches / fusiontorch.profiler
kernel launches
8
ref launches
19
fusion ratio (ref / kernel)
2.38x
total cuda time
32651 μs
energyNVML (pynvml)
kernel mJ / run
2247.12
ref mJ / run
1727.52
ratio (ref / kernel)
0.77x
avg power
196.65 W
ref avg power
140.98 W
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
1.000
dram util %
100.0%
compute util %
58.5%
bottleneck
memory-bound
dominant pipe
tensor-core
arithmetic intensity
—
ridge point
295.22
roofline / occupancynsight_hardware_counters
dram bandwidth
16695.20 GB/s
dram util %
100.0%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
584.9%
bottleneck
memory-bound
dominant pipe %
58.5%
arithmetic intensity
—
ridge point
295.22
L1 hit %
—
L2 hit %
474.3%
ld sectors / req
21.00
st sectors / req
—
regs / thread
362
smem / block
254336 B
block size
1920
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
19868.6%
short_scoreboard
693.1%
mio_throttle
124.9%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn

class Model(nn.Module):
    """
    Model that performs a transposed convolution, applies GELU, and normalizes with GroupNorm.
    """
    def __init__(self, in_channels, out_channels, kernel_size, stride, groups, num_groups):
        super(Model, self).__init__()
        self.conv_transpose = nn.ConvTranspose2d(in_channels, out_channels, kernel_size, stride=stride)
        self.group_norm = nn.GroupNorm(num_groups=num_groups, num_channels=out_channels)

    def forward(self, x):
        x = self.conv_transpose(x)
        x = torch.nn.functional.gelu(x)
        x = self.group_norm(x)
        return x

batch_size   = 128  
in_channels  = 64  
out_channels = 64  
height = width = 256  
kernel_size  = 3
stride       = 1
groups = 8
num_groups = 8

def get_inputs():
    return [torch.rand(batch_size, in_channels, height, width)]

def get_init_inputs():
    return [in_channels, out_channels, kernel_size, stride, groups, num_groups]
turn 0 · FINAL · 1 tool call(s) · 57.0s turn · 57.0s LLM · 7,275 chars (click to expand)
turn 057.0s turn · 57.0s LLM · 0.0s tools · FINAL
reasoning
**Exploring PyTorch group norm** I'm considering how PyTorch's group normalization probably uses float reductions deterministically. I wonder if different sum orders can lead to mean differences, maybe with a tolerance around 1e-4 for absolute or relative output. With 532k random values, I figure the float reduction error might be small. Should I think about using double for better accuracy? It might be slower, but I like the idea of more robust statistics. I suspect PyTorch is primarily using float though.
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\"\"\"\n#include <torch/extension.h>\n#include <ATen/ATen.h>\n#include <vector>\n\ntorch::Tensor gelu_gn_cuda(torch::Tensor y, torch::Tensor weight, torch::Tensor bias, int64_t num_groups);\n\ntorch::Tensor model_forward(torch::Tensor x,\n torch::Tensor conv_w,\n torch::Tensor conv_b,\n torch::Tensor gn_w,\n torch::Tensor gn_b,\n int64_t num_groups,\n int64_t stride) {\n // ConvTranspose2d parameters match the reference model: padding=0,\n // output_padding=0, dilation=1, groups=1.\n auto y = at::conv_transpose2d(x, conv_w, conv_b,\n {stride, stride}, {0, 0}, {0, 0},\n 1, {1, 1});\n return gelu_gn_cuda(y, gn_w, gn_b, num_groups);\n}\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\n#define BLOCK 256\n\n__device__ __forceinline__ float gelu_exact(float x) {\n return 0.5f * x * (1.0f + erff(x * 0.70710678118654752440f));\n}\n\n__global__ void gelu_stats_kernel(float* __restrict__ y,\n float* __restrict__ sums,\n float* __restrict__ sqsums,\n int N, int C, int H, int W, int G) {\n int gid = blockIdx.x; // one block per (n, group)\n int g = gid % G;\n int n = gid / G;\n int cpg = C / G;\n int HW = H * W;\n int M = cpg * HW;\n long long base = ((long long)n * C + (long long)g * cpg) * HW;\n\n float local_sum = 0.0f;\n float local_sq = 0.0f;\n\n for (int i = threadIdx.x; i < M; i += BLOCK) {\n float v = y[base + i];\n float gv = gelu_exact(v);\n y[base + i] = gv;\n local_sum += gv;\n local_sq += gv * gv;\n }\n\n __shared__ float sh_sum[BLOCK];\n __shared__ float sh_sq[BLOCK];\n sh_sum[threadIdx.x] = local_sum;\n sh_sq[threadIdx.x] = local_sq;\n __syncthreads();\n\n for (int offset = BLOCK / 2; offset > 0; offset >>= 1) {\n if (threadIdx.x < offset) {\n sh_sum[threadIdx.x] += sh_sum[threadIdx.x + offset];\n sh_sq[threadIdx.x] += sh_sq[threadIdx.x + offset];\n }\n __syncthreads();\n }\n\n if (threadIdx.x == 0) {\n sums[gid] = sh_sum[0];\n sqsums[gid] = sh_sq[0];\n }\n}\n\n__global__ void normalize_kernel(float* __restrict__ y,\n const float* __restrict__ sums,\n const float* __restrict__ sqsums,\n const float* __restrict__ gamma,\n const float* __restrict__ beta,\n int N, int C, int H, int W, int G) {\n int gid = blockIdx.x; // one block per (n, group)\n int g = gid % G;\n int n = gid / G;\n int cpg = C / G;\n int HW = H * W;\n int M = cpg * HW;\n long long base = ((long long)n * C + (long long)g * cpg) * HW;\n\n float invM = 1.0f / (float)M;\n float mean = sums[gid] * invM;\n float var = sqsums[gid] * invM - mean * mean;\n var = var < 0.0f ? 0.0f : var;\n float rstd = rsqrtf(var + 1.0e-5f);\n\n for (int i = threadIdx.x; i < M; i += BLOCK) {\n int local_c = i / HW;\n int c = g * cpg + local_c;\n float v = y[base + i];\n y[base + i] = (v - mean) * rstd * gamma[c] + beta[c];\n }\n}\n\ntorch::Tensor gelu_gn_cuda(torch::Tensor y, torch::Tensor weight, torch::Tensor bias, int64_t num_groups) {\n const int N = (int)y.size(0);\n const int C = (int)y.size(1);\n const int H = (int)y.size(2);\n const int W = (int)y.size(3);\n const int G = (int)num_groups;\n auto stats = torch::empty({2, N * G}, y.options());\n float* sums = stats.data_ptr<float>();\n float* sqsums = sums + N * G;\n\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n dim3 grid(N * G);\n dim3 block(BLOCK);\n gelu_stats_kernel<<<grid, block, 0, stream>>>(y.data_ptr<float>(), sums, sqsums, N, C, H, W, G);\n normalize_kernel<<<grid, block, 0, stream>>>(y.data_ptr<float>(), sums, sqsums,\n weight.data_ptr<float>(), bias.data_ptr<float>(),\n N, C, H, W, G);\n return y;\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"convtranspose_gelu_groupnorm_ext\",\n cpp_sources=[_cpp_src],\n cuda_sources=[_cuda_src],\n functions=[\"model_forward\"],\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, stride, groups, num_groups):\n super(ModelNew, self).__init__()\n self.conv_transpose = nn.ConvTranspose2d(in_channels, out_channels, kernel_size, stride=stride)\n self.group_norm = nn.GroupNorm(num_groups=num_groups, num_channels=out_channels)\n self.stride = int(stride)\n self.num_groups = int(num_groups)\n\n def forward(self, x):\n return _ext.model_forward(x, self.conv_transpose.weight, self.conv_transpose.bias,\n self.group_norm.weight, self.group_norm.bias,\n self.num_groups, self.stride)\n" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (5 / 5) correctness trials all passed. Kernel runtime: 11.40 μs Runtime stats: mean=11.40μs median=?μs std=0.42μs Numerical precision: max_abs_err=1.43e-06 mean_abs_err=5.14e-08 max_rel_err=4.01e+01 Memory: 8289.68 MB peak (ref: 8289.68 MB, ratio: 1.0x) Kernel launches: 8 (ref: 19, fusion ratio: 2.375) Energy: 2247.12 mJ/run (ref: 1727.52 mJ, ratio: 0.7688x) SOL score: 1.0
final submitted kernel (154 lines, 5,367 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>
#include <ATen/ATen.h>
#include <vector>

torch::Tensor gelu_gn_cuda(torch::Tensor y, torch::Tensor weight, torch::Tensor bias, int64_t num_groups);

torch::Tensor model_forward(torch::Tensor x,
                            torch::Tensor conv_w,
                            torch::Tensor conv_b,
                            torch::Tensor gn_w,
                            torch::Tensor gn_b,
                            int64_t num_groups,
                            int64_t stride) {
    // ConvTranspose2d parameters match the reference model: padding=0,
    // output_padding=0, dilation=1, groups=1.
    auto y = at::conv_transpose2d(x, conv_w, conv_b,
                                  {stride, stride}, {0, 0}, {0, 0},
                                  1, {1, 1});
    return gelu_gn_cuda(y, gn_w, gn_b, num_groups);
}
"""

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

#define BLOCK 256

__device__ __forceinline__ float gelu_exact(float x) {
    return 0.5f * x * (1.0f + erff(x * 0.70710678118654752440f));
}

__global__ void gelu_stats_kernel(float* __restrict__ y,
                                  float* __restrict__ sums,
                                  float* __restrict__ sqsums,
                                  int N, int C, int H, int W, int G) {
    int gid = blockIdx.x;              // one block per (n, group)
    int g = gid % G;
    int n = gid / G;
    int cpg = C / G;
    int HW = H * W;
    int M = cpg * HW;
    long long base = ((long long)n * C + (long long)g * cpg) * HW;

    float local_sum = 0.0f;
    float local_sq = 0.0f;

    for (int i = threadIdx.x; i < M; i += BLOCK) {
        float v = y[base + i];
        float gv = gelu_exact(v);
        y[base + i] = gv;
        local_sum += gv;
        local_sq += gv * gv;
    }

    __shared__ float sh_sum[BLOCK];
    __shared__ float sh_sq[BLOCK];
    sh_sum[threadIdx.x] = local_sum;
    sh_sq[threadIdx.x] = local_sq;
    __syncthreads();

    for (int offset = BLOCK / 2; offset > 0; offset >>= 1) {
        if (threadIdx.x < offset) {
            sh_sum[threadIdx.x] += sh_sum[threadIdx.x + offset];
            sh_sq[threadIdx.x] += sh_sq[threadIdx.x + offset];
        }
        __syncthreads();
    }

    if (threadIdx.x == 0) {
        sums[gid] = sh_sum[0];
        sqsums[gid] = sh_sq[0];
    }
}

__global__ void normalize_kernel(float* __restrict__ y,
                                 const float* __restrict__ sums,
                                 const float* __restrict__ sqsums,
                                 const float* __restrict__ gamma,
                                 const float* __restrict__ beta,
                                 int N, int C, int H, int W, int G) {
    int gid = blockIdx.x;              // one block per (n, group)
    int g = gid % G;
    int n = gid / G;
    int cpg = C / G;
    int HW = H * W;
    int M = cpg * HW;
    long long base = ((long long)n * C + (long long)g * cpg) * HW;

    float invM = 1.0f / (float)M;
    float mean = sums[gid] * invM;
    float var = sqsums[gid] * invM - mean * mean;
    var = var < 0.0f ? 0.0f : var;
    float rstd = rsqrtf(var + 1.0e-5f);

    for (int i = threadIdx.x; i < M; i += BLOCK) {
        int local_c = i / HW;
        int c = g * cpg + local_c;
        float v = y[base + i];
        y[base + i] = (v - mean) * rstd * gamma[c] + beta[c];
    }
}

torch::Tensor gelu_gn_cuda(torch::Tensor y, torch::Tensor weight, torch::Tensor bias, int64_t num_groups) {
    const int N = (int)y.size(0);
    const int C = (int)y.size(1);
    const int H = (int)y.size(2);
    const int W = (int)y.size(3);
    const int G = (int)num_groups;
    auto stats = torch::empty({2, N * G}, y.options());
    float* sums = stats.data_ptr<float>();
    float* sqsums = sums + N * G;

    cudaStream_t stream = at::cuda::getCurrentCUDAStream();
    dim3 grid(N * G);
    dim3 block(BLOCK);
    gelu_stats_kernel<<<grid, block, 0, stream>>>(y.data_ptr<float>(), sums, sqsums, N, C, H, W, G);
    normalize_kernel<<<grid, block, 0, stream>>>(y.data_ptr<float>(), sums, sqsums,
                                                 weight.data_ptr<float>(), bias.data_ptr<float>(),
                                                 N, C, H, W, G);
    return y;
}
"""

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

class ModelNew(nn.Module):
    def __init__(self, in_channels, out_channels, kernel_size, stride, groups, num_groups):
        super(ModelNew, self).__init__()
        self.conv_transpose = nn.ConvTranspose2d(in_channels, out_channels, kernel_size, stride=stride)
        self.group_norm = nn.GroupNorm(num_groups=num_groups, num_channels=out_channels)
        self.stride = int(stride)
        self.num_groups = int(num_groups)

    def forward(self, x):
        return _ext.model_forward(x, self.conv_transpose.weight, self.conv_transpose.bias,
                                  self.group_norm.weight, self.group_norm.bias,
                                  self.num_groups, self.stride)