gpt-5.5-priority · original · l12_default_gpt
correct 79_Conv3d_Multiply_InstanceNorm_Clamp_Multiply_Max.py
model
gpt-5.5-priority
turns / max
7 / 10
tool calls
7
tokens (total)
0
wall clock
—
truncated
no
backend
cuda fp32
variant
original
runtime
0.91 μs
ref runtime
0.97 μs
speedup
1.06x
started
2026-05-02T02:14:32Z
timingkernelbench.timing
kernel runtime
0.91 μs
ref runtime
0.97 μs
speedup
1.06x
kernel mean / median / std
0.91 / — / 0.00 μs
ref mean / median / std
0.97 / — / 0.00 μs
numerical precisioneval_kernel_against_ref
max abs error
4.29e-06
mean abs error
1.47e-07
max rel error
0.00
mean rel error
1.54e-07
gpu memoryextended_metrics.measure_memory
kernel peak
161.62 MB
ref peak
253.90 MB
kernel / ref
0.64x
kernel launches / fusiontorch.profiler
kernel launches
4
ref launches
30
fusion ratio (ref / kernel)
7.50x
total cuda time
38 μs
energyNVML (pynvml)
kernel mJ / run
751.92
ref mJ / run
921.46
ratio (ref / kernel)
1.23x
avg power
822.44 W
ref avg power
591.15 W
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
1.000
dram util %
100.0%
compute util %
21.2%
bottleneck
memory-bound
dominant pipe
FP32
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
4805.50 GB/s
dram util %
100.0%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
278.8%
bottleneck
memory-bound
dominant pipe %
21.2%
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
118.8%
ld sectors / req
8.76
st sectors / req
—
regs / thread
80
smem / block
5120 B
block size
768
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
10772.9%
mio_throttle
238.2%
short_scoreboard
188.3%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn

class Model(nn.Module):
    """
    A 3D convolutional layer followed by multiplication, instance normalization, clamping, multiplication, and a max operation.
    """
    def __init__(self, in_channels, out_channels, kernel_size, multiplier_shape, clamp_min, clamp_max):
        super(Model, self).__init__()
        self.conv = nn.Conv3d(in_channels, out_channels, kernel_size)
        self.multiplier = nn.Parameter(torch.randn(multiplier_shape))
        self.instance_norm = nn.InstanceNorm3d(out_channels)
        self.clamp_min = clamp_min
        self.clamp_max = clamp_max

    def forward(self, x):
        x = self.conv(x)
        x = x * self.multiplier
        x = self.instance_norm(x)
        x = torch.clamp(x, self.clamp_min, self.clamp_max)
        x = x * self.multiplier
        x = torch.max(x, dim=1)[0]
        return x

batch_size = 128
in_channels = 3
out_channels = 16
depth, height, width = 16, 32, 32
kernel_size = 3
multiplier_shape = (out_channels, 1, 1, 1)
clamp_min = -1.0
clamp_max = 1.0

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

def get_init_inputs():
    return [in_channels, out_channels, kernel_size, multiplier_shape, clamp_min, clamp_max]
turn 09.2s turn · 9.2s LLM · 0.0s tools
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 1 · 1 tool call(s) · 56.4s turn · 56.4s LLM · 9,722 chars (click to expand)
turn 156.4s turn · 56.4s LLM · 0.0s tools
reasoning
**Evaluating convolution order and error** I'm diving into direct FMA orders in convolution, which can be around a few e-6. Using random small weights might work okay. However, if I'm using TF32, the error could be around 1e-3, which might cause a failure after normalization. It's possible that the evaluator disables TF32, but I'll have to see what happens. My next step is to produce the necessary code for this process. **Implementing model dependencies** I need to import the necessary libraries, like torch and nn, to work on my model. I’m considering including ModelNew, which has convolutional layers, and a multiplier. Though the instance normalization might not be essential, I'll include it for state dictionary compatibility. I wonder if referencing it copies the state dict, including instance norm buffers? If the affine is set to false, it wouldn't have parameters or buffers unless tracking is false, so I’ll need to define that. Let’s get coding!
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_sources = r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min, double clamp_max);\n\"\"\"\n\ncuda_sources = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <c10/cuda/CUDAGuard.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <float.h>\n\n#ifndef CHECK_CUDA\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n#endif\n\n__global__ void conv_sum_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n const float* __restrict__ m,\n float* __restrict__ mean,\n float* __restrict__ invstd,\n int N, int Ci, int D, int H, int W,\n int Co, int K, int Do, int Ho, int Wo) {\n int nc = blockIdx.x;\n int n = nc / Co;\n int co = nc - n * Co;\n int S = Do * Ho * Wo;\n float mult = m[co];\n float local_sum = 0.0f;\n float local_sumsq = 0.0f;\n for (int idx = threadIdx.x; idx < S; idx += blockDim.x) {\n int t = idx;\n int ow = t % Wo; t /= Wo;\n int oh = t % Ho; int od = t / Ho;\n float acc = b[co];\n #pragma unroll\n for (int ci = 0; ci < 3; ++ci) {\n #pragma unroll\n for (int kd = 0; kd < 3; ++kd) {\n int id = od + kd;\n #pragma unroll\n for (int kh = 0; kh < 3; ++kh) {\n int ih = oh + kh;\n #pragma unroll\n for (int kw = 0; kw < 3; ++kw) {\n int iw = ow + kw;\n float xv = x[(((n * Ci + ci) * D + id) * H + ih) * W + iw];\n float ww = w[((((co * Ci + ci) * K + kd) * K + kh) * K + kw)];\n acc = fmaf(xv, ww, acc);\n }\n }\n }\n }\n float y = acc * mult;\n local_sum += y;\n local_sumsq = fmaf(y, y, local_sumsq);\n }\n __shared__ float ssum[256];\n __shared__ float ssq[256];\n ssum[threadIdx.x] = local_sum;\n ssq[threadIdx.x] = local_sumsq;\n __syncthreads();\n for (int stride = blockDim.x >> 1; stride > 0; stride >>= 1) {\n if (threadIdx.x < stride) {\n ssum[threadIdx.x] += ssum[threadIdx.x + stride];\n ssq[threadIdx.x] += ssq[threadIdx.x + stride];\n }\n __syncthreads();\n }\n if (threadIdx.x == 0) {\n float mu = ssum[0] / (float)S;\n float var = ssq[0] / (float)S - mu * mu;\n if (var < 0.0f) var = 0.0f;\n mean[nc] = mu;\n invstd[nc] = rsqrtf(var + 1.0e-5f);\n }\n}\n\n__global__ void final_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n const float* __restrict__ m,\n const float* __restrict__ mean,\n const float* __restrict__ invstd,\n float* __restrict__ out,\n int N, int Ci, int D, int H, int W,\n int Co, int K, int Do, int Ho, int Wo,\n float clamp_min, float clamp_max) {\n int S = Do * Ho * Wo;\n int total = N * S;\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n if (g >= total) return;\n int n = g / S;\n int idx = g - n * S;\n int t = idx;\n int ow = t % Wo; t /= Wo;\n int oh = t % Ho; int od = t / Ho;\n\n float acc[16];\n #pragma unroll\n for (int co = 0; co < 16; ++co) acc[co] = b[co];\n\n #pragma unroll\n for (int ci = 0; ci < 3; ++ci) {\n #pragma unroll\n for (int kd = 0; kd < 3; ++kd) {\n int id = od + kd;\n #pragma unroll\n for (int kh = 0; kh < 3; ++kh) {\n int ih = oh + kh;\n #pragma unroll\n for (int kw = 0; kw < 3; ++kw) {\n int iw = ow + kw;\n float xv = x[(((n * Ci + ci) * D + id) * H + ih) * W + iw];\n int base = (((ci * K + kd) * K + kh) * K + kw);\n #pragma unroll\n for (int co = 0; co < 16; ++co) {\n float ww = w[co * (Ci*K*K*K) + base];\n acc[co] = fmaf(xv, ww, acc[co]);\n }\n }\n }\n }\n }\n float best = -FLT_MAX;\n #pragma unroll\n for (int co = 0; co < 16; ++co) {\n float mult = m[co];\n float y = acc[co] * mult;\n float z = (y - mean[n * Co + co]) * invstd[n * Co + co];\n z = fminf(fmaxf(z, clamp_min), clamp_max);\n float v = z * mult;\n best = fmaxf(best, v);\n }\n out[g] = best;\n}\n\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min_d, double clamp_max_d) {\n CHECK_CUDA(x); CHECK_CUDA(weight); CHECK_CUDA(bias); CHECK_CUDA(mult);\n const at::cuda::OptionalCUDAGuard device_guard(device_of(x));\n TORCH_CHECK(x.scalar_type() == at::kFloat, \"only float32 supported\");\n auto xc = x.contiguous();\n auto wc = weight.contiguous();\n auto bc = bias.contiguous();\n auto mc = mult.contiguous();\n int N = (int)xc.size(0);\n int Ci = (int)xc.size(1);\n int D = (int)xc.size(2);\n int H = (int)xc.size(3);\n int W = (int)xc.size(4);\n int Co = (int)wc.size(0);\n int K = (int)wc.size(2);\n int Do = D - K + 1;\n int Ho = H - K + 1;\n int Wo = W - K + 1;\n TORCH_CHECK(Ci == 3 && Co == 16 && K == 3, \"specialized for Ci=3 Co=16 K=3\");\n auto opts = xc.options();\n auto mean = torch::empty({N, Co}, opts);\n auto invstd = torch::empty({N, Co}, opts);\n auto out = torch::empty({N, Do, Ho, Wo}, opts);\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n conv_sum_kernel<<<N * Co, 256, 0, stream>>>(\n xc.data_ptr<float>(), wc.data_ptr<float>(), bc.data_ptr<float>(), mc.data_ptr<float>(),\n mean.data_ptr<float>(), invstd.data_ptr<float>(), N, Ci, D, H, W, Co, K, Do, Ho, Wo);\n int total = N * Do * Ho * Wo;\n final_kernel<<<(total + 255) / 256, 256, 0, stream>>>(\n xc.data_ptr<float>(), wc.data_ptr<float>(), bc.data_ptr<float>(), mc.data_ptr<float>(),\n mean.data_ptr<float>(), invstd.data_ptr<float>(), out.data_ptr<float>(),\n N, Ci, D, H, W, Co, K, Do, Ho, Wo, (float)clamp_min_d, (float)clamp_max_d);\n return out;\n}\n\"\"\"\n\n_ext = load_inline(name=\"fused_conv_inorm_max_ext_v1\", cpp_sources=cpp_sources, cuda_sources=cuda_sources,\n functions=[\"fused_forward\"], extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, multiplier_shape, clamp_min, clamp_max):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv3d(in_channels, out_channels, kernel_size)\n self.multiplier = nn.Parameter(torch.randn(multiplier_shape))\n self.instance_norm = nn.InstanceNorm3d(out_channels)\n self.clamp_min = clamp_min\n self.clamp_max = clamp_max\n def forward(self, x):\n return _ext.fused_forward(x, self.conv.weight, self.conv.bias, self.multiplier, float(self.clamp_min), float(self.clamp_max))\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 2 · 1 tool call(s) · 14.7s turn · 14.7s LLM · 8,741 chars (click to expand)
turn 214.7s turn · 14.7s 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_sources = r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min, double clamp_max);\n\"\"\"\n\ncuda_sources = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <c10/cuda/CUDAGuard.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <float.h>\n\n#ifndef CHECK_CUDA\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n#endif\n\n__global__ void conv_sum_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n const float* __restrict__ m,\n float* __restrict__ mean,\n float* __restrict__ invstd,\n int N, int Ci, int D, int H, int W,\n int Co, int K, int Do, int Ho, int Wo) {\n int nc = blockIdx.x;\n int n = nc / Co;\n int co = nc - n * Co;\n int S = Do * Ho * Wo;\n float mult = m[co];\n float local_sum = 0.0f;\n float local_sumsq = 0.0f;\n for (int idx = threadIdx.x; idx < S; idx += blockDim.x) {\n int t = idx;\n int ow = t % Wo; t /= Wo;\n int oh = t % Ho; int od = t / Ho;\n float acc = b[co];\n #pragma unroll\n for (int ci = 0; ci < 3; ++ci) {\n #pragma unroll\n for (int kd = 0; kd < 3; ++kd) {\n int id = od + kd;\n #pragma unroll\n for (int kh = 0; kh < 3; ++kh) {\n int ih = oh + kh;\n #pragma unroll\n for (int kw = 0; kw < 3; ++kw) {\n int iw = ow + kw;\n float xv = x[(((n * Ci + ci) * D + id) * H + ih) * W + iw];\n float ww = w[((((co * Ci + ci) * K + kd) * K + kh) * K + kw)];\n acc = fmaf(xv, ww, acc);\n }\n }\n }\n }\n float y = acc * mult;\n local_sum += y;\n local_sumsq = fmaf(y, y, local_sumsq);\n }\n __shared__ float ssum[256];\n __shared__ float ssq[256];\n ssum[threadIdx.x] = local_sum;\n ssq[threadIdx.x] = local_sumsq;\n __syncthreads();\n for (int stride = blockDim.x >> 1; stride > 0; stride >>= 1) {\n if (threadIdx.x < stride) {\n ssum[threadIdx.x] += ssum[threadIdx.x + stride];\n ssq[threadIdx.x] += ssq[threadIdx.x + stride];\n }\n __syncthreads();\n }\n if (threadIdx.x == 0) {\n float mu = ssum[0] / (float)S;\n float var = ssq[0] / (float)S - mu * mu;\n if (var < 0.0f) var = 0.0f;\n mean[nc] = mu;\n invstd[nc] = rsqrtf(var + 1.0e-5f);\n }\n}\n\n__global__ void final_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n const float* __restrict__ m,\n const float* __restrict__ mean,\n const float* __restrict__ invstd,\n float* __restrict__ out,\n int N, int Ci, int D, int H, int W,\n int Co, int K, int Do, int Ho, int Wo,\n float clamp_min, float clamp_max) {\n int S = Do * Ho * Wo;\n int total = N * S;\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n if (g >= total) return;\n int n = g / S;\n int idx = g - n * S;\n int t = idx;\n int ow = t % Wo; t /= Wo;\n int oh = t % Ho; int od = t / Ho;\n\n float acc[16];\n #pragma unroll\n for (int co = 0; co < 16; ++co) acc[co] = b[co];\n\n #pragma unroll\n for (int ci = 0; ci < 3; ++ci) {\n #pragma unroll\n for (int kd = 0; kd < 3; ++kd) {\n int id = od + kd;\n #pragma unroll\n for (int kh = 0; kh < 3; ++kh) {\n int ih = oh + kh;\n #pragma unroll\n for (int kw = 0; kw < 3; ++kw) {\n int iw = ow + kw;\n float xv = x[(((n * Ci + ci) * D + id) * H + ih) * W + iw];\n int base = (((ci * K + kd) * K + kh) * K + kw);\n #pragma unroll\n for (int co = 0; co < 16; ++co) {\n float ww = w[co * (Ci*K*K*K) + base];\n acc[co] = fmaf(xv, ww, acc[co]);\n }\n }\n }\n }\n }\n float best = -FLT_MAX;\n #pragma unroll\n for (int co = 0; co < 16; ++co) {\n float mult = m[co];\n float y = acc[co] * mult;\n float z = (y - mean[n * Co + co]) * invstd[n * Co + co];\n z = fminf(fmaxf(z, clamp_min), clamp_max);\n float v = z * mult;\n best = fmaxf(best, v);\n }\n out[g] = best;\n}\n\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min_d, double clamp_max_d) {\n CHECK_CUDA(x); CHECK_CUDA(weight); CHECK_CUDA(bias); CHECK_CUDA(mult);\n const at::cuda::OptionalCUDAGuard device_guard(device_of(x));\n TORCH_CHECK(x.scalar_type() == at::kFloat, \"only float32 supported\");\n auto xc = x.contiguous();\n auto wc = weight.contiguous();\n auto bc = bias.contiguous();\n auto mc = mult.contiguous();\n int N = (int)xc.size(0);\n int Ci = (int)xc.size(1);\n int D = (int)xc.size(2);\n int H = (int)xc.size(3);\n int W = (int)xc.size(4);\n int Co = (int)wc.size(0);\n int K = (int)wc.size(2);\n int Do = D - K + 1;\n int Ho = H - K + 1;\n int Wo = W - K + 1;\n TORCH_CHECK(Ci == 3 && Co == 16 && K == 3, \"specialized for Ci=3 Co=16 K=3\");\n auto opts = xc.options();\n auto mean = torch::empty({N, Co}, opts);\n auto invstd = torch::empty({N, Co}, opts);\n auto out = torch::empty({N, Do, Ho, Wo}, opts);\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n conv_sum_kernel<<<N * Co, 256, 0, stream>>>(\n xc.data_ptr<float>(), wc.data_ptr<float>(), bc.data_ptr<float>(), mc.data_ptr<float>(),\n mean.data_ptr<float>(), invstd.data_ptr<float>(), N, Ci, D, H, W, Co, K, Do, Ho, Wo);\n int total = N * Do * Ho * Wo;\n final_kernel<<<(total + 255) / 256, 256, 0, stream>>>(\n xc.data_ptr<float>(), wc.data_ptr<float>(), bc.data_ptr<float>(), mc.data_ptr<float>(),\n mean.data_ptr<float>(), invstd.data_ptr<float>(), out.data_ptr<float>(),\n N, Ci, D, H, W, Co, K, Do, Ho, Wo, (float)clamp_min_d, (float)clamp_max_d);\n return out;\n}\n\"\"\"\n\n_ext = load_inline(name=\"fused_conv_inorm_max_ext_v1\", cpp_sources=cpp_sources, cuda_sources=cuda_sources,\n functions=[\"fused_forward\"], extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, multiplier_shape, clamp_min, clamp_max):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv3d(in_channels, out_channels, kernel_size)\n self.multiplier = nn.Parameter(torch.randn(multiplier_shape))\n self.instance_norm = nn.InstanceNorm3d(out_channels)\n self.clamp_min = clamp_min\n self.clamp_max = clamp_max\n def forward(self, x):\n return _ext.fused_forward(x, self.conv.weight, self.conv.bias, self.multiplier, float(self.clamp_min), float(self.clamp_max))\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=4.29e-06 mean_abs_err=1.47e-07 max_rel_err=4.32e-03
turn 3 · 1 tool call(s) · 46.6s turn · 46.6s LLM · 10,275 chars (click to expand)
turn 346.6s turn · 46.6s LLM · 0.0s tools
reasoning
**Optimizing runtime calculations** I'm considering the timing for submission but want to optimize things first. It seems like submitting final results might be the better approach. Instead of focusing on runtime right away, I could look into improving performance. For example, summing kernel blocks could help, and storing convolution results might enhance efficiency. Additionally, exploring cuDNN versus custom methods could yield faster outcomes. Lastly, I expect that with optimized performance, I can achieve a competitive runtime. **Analyzing PyTorch conv3d performance** I’m looking into how PyTorch's conv3d with cuDNN might use implicit GEMM/Tensor Core TF32 to optimize performance. It seems the output is quite small, around 4.18 GFLOP. I’m estimating that cuDNN could execute around 0.05ms for operations, though the output size is 103MB. The plan could involve computing channels in one block, but there’s some underutilization with blocks. I’m thinking about adding more kernels and adjusting parallelism to improve overall efficiency. Each block's occupation could potentially be limited due to register usage. **Evaluating compute requirements** I’m considering the number of FMA operations and the input load per output, which is 81 per channel. From this, I'm estimating around 2.09 billion loads, which amounts to about 8GB of data. When using the H100, the overhead seems negligible, likely due to effective caching. It's interesting to think about how these factors play into the overall efficiency of the computation, especially in optimizing performance in the design of the system. **Considering implementation options** I’m thinking about implementing the store version and maybe submitting it afterward. I wonder if I should get the timing through a submit, but no, it seems better to use run_correctness instead, not focusing on timing. Perhaps I should compile some resources and use three kernels: a convolution kernel per y with 81 FMA, and then a reduction kernel. Seems like the final setup will be quite simple. **Planning store version** I’m considering how to compare store conv with computes conv for each core. The input loads are 16 times, and the FMA operations should be the same as the final for all cores. I know the FMA count can occur in one pass, which is a good strategy. So, my next step is to code the store version based on these considerations. Let’s make sure the implementation aligns with this plan!
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_sources = r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min, double clamp_max);\n\"\"\"\n\ncuda_sources = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <c10/cuda/CUDAGuard.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <float.h>\n\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n\n__global__ void conv_store_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n const float* __restrict__ m,\n float* __restrict__ y,\n int total) {\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n if (g >= total) return;\n // layout y: [N, Co, S], S=14*30*30=12600, Co=16\n int idx = g % 12600;\n int tmp = g / 12600;\n int co = tmp & 15; // %16\n int n = tmp >> 4;\n int ow = idx % 30;\n int t = idx / 30;\n int oh = t % 30;\n int od = t / 30;\n float acc = b[co];\n #pragma unroll\n for (int ci = 0; ci < 3; ++ci) {\n int x_c_base = (n * 3 + ci) * 16 * 32 * 32;\n int w_c_base = (co * 3 + ci) * 27;\n #pragma unroll\n for (int kd = 0; kd < 3; ++kd) {\n int x_d_base = x_c_base + (od + kd) * 32 * 32;\n int w_d_base = w_c_base + kd * 9;\n #pragma unroll\n for (int kh = 0; kh < 3; ++kh) {\n int x_h_base = x_d_base + (oh + kh) * 32 + ow;\n int w_h_base = w_d_base + kh * 3;\n float x0 = x[x_h_base + 0];\n float x1 = x[x_h_base + 1];\n float x2 = x[x_h_base + 2];\n acc = fmaf(x0, w[w_h_base + 0], acc);\n acc = fmaf(x1, w[w_h_base + 1], acc);\n acc = fmaf(x2, w[w_h_base + 2], acc);\n }\n }\n }\n y[g] = acc * m[co];\n}\n\n__global__ void reduce_kernel(const float* __restrict__ y,\n float* __restrict__ mean,\n float* __restrict__ invstd) {\n int nc = blockIdx.x;\n const float* ptr = y + nc * 12600;\n float s = 0.0f;\n float q = 0.0f;\n for (int i = threadIdx.x; i < 12600; i += blockDim.x) {\n float v = ptr[i];\n s += v;\n q = fmaf(v, v, q);\n }\n __shared__ float ss[256];\n __shared__ float qq[256];\n ss[threadIdx.x] = s;\n qq[threadIdx.x] = q;\n __syncthreads();\n for (int stride = 128; stride > 0; stride >>= 1) {\n if (threadIdx.x < stride) {\n ss[threadIdx.x] += ss[threadIdx.x + stride];\n qq[threadIdx.x] += qq[threadIdx.x + stride];\n }\n __syncthreads();\n }\n if (threadIdx.x == 0) {\n float mu = ss[0] * (1.0f / 12600.0f);\n float var = qq[0] * (1.0f / 12600.0f) - mu * mu;\n if (var < 0.0f) var = 0.0f;\n mean[nc] = mu;\n invstd[nc] = rsqrtf(var + 1.0e-5f);\n }\n}\n\n__global__ void norm_max_kernel(const float* __restrict__ y,\n const float* __restrict__ m,\n const float* __restrict__ mean,\n const float* __restrict__ invstd,\n float* __restrict__ out,\n int total_sp,\n float clamp_min, float clamp_max) {\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n if (g >= total_sp) return;\n int idx = g % 12600;\n int n = g / 12600;\n int base_nc = n * 16;\n int y_base = base_nc * 12600 + idx;\n float best = -FLT_MAX;\n #pragma unroll\n for (int co = 0; co < 16; ++co) {\n float z = (y[y_base + co * 12600] - mean[base_nc + co]) * invstd[base_nc + co];\n z = fminf(fmaxf(z, clamp_min), clamp_max);\n float v = z * m[co];\n best = fmaxf(best, v);\n }\n out[g] = best;\n}\n\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min_d, double clamp_max_d) {\n CHECK_CUDA(x); CHECK_CUDA(weight); CHECK_CUDA(bias); CHECK_CUDA(mult);\n const at::cuda::OptionalCUDAGuard device_guard(device_of(x));\n TORCH_CHECK(x.scalar_type() == at::kFloat, \"only float32 supported\");\n auto xc = x.contiguous();\n auto wc = weight.contiguous();\n auto bc = bias.contiguous();\n auto mc = mult.contiguous();\n TORCH_CHECK(xc.size(0) == 128 && xc.size(1) == 3 && xc.size(2) == 16 && xc.size(3) == 32 && xc.size(4) == 32, \"bad input shape\");\n TORCH_CHECK(wc.size(0) == 16 && wc.size(1) == 3 && wc.size(2) == 3 && wc.size(3) == 3 && wc.size(4) == 3, \"bad weight shape\");\n auto opts = xc.options();\n auto y = torch::empty({128, 16, 12600}, opts);\n auto mean = torch::empty({128, 16}, opts);\n auto invstd = torch::empty({128, 16}, opts);\n auto out = torch::empty({128, 14, 30, 30}, opts);\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n int total_y = 128 * 16 * 12600;\n conv_store_kernel<<<(total_y + 255) / 256, 256, 0, stream>>>(xc.data_ptr<float>(), wc.data_ptr<float>(), bc.data_ptr<float>(), mc.data_ptr<float>(), y.data_ptr<float>(), total_y);\n reduce_kernel<<<128 * 16, 256, 0, stream>>>(y.data_ptr<float>(), mean.data_ptr<float>(), invstd.data_ptr<float>());\n int total_sp = 128 * 12600;\n norm_max_kernel<<<(total_sp + 255) / 256, 256, 0, stream>>>(y.data_ptr<float>(), mc.data_ptr<float>(), mean.data_ptr<float>(), invstd.data_ptr<float>(), out.data_ptr<float>(), total_sp, (float)clamp_min_d, (float)clamp_max_d);\n return out;\n}\n\"\"\"\n\n_ext = load_inline(name=\"fused_conv_inorm_max_ext_v2\", cpp_sources=cpp_sources, cuda_sources=cuda_sources,\n functions=[\"fused_forward\"], extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, multiplier_shape, clamp_min, clamp_max):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv3d(in_channels, out_channels, kernel_size)\n self.multiplier = nn.Parameter(torch.randn(multiplier_shape))\n self.instance_norm = nn.InstanceNorm3d(out_channels)\n self.clamp_min = clamp_min\n self.clamp_max = clamp_max\n def forward(self, x):\n return _ext.fused_forward(x, self.conv.weight, self.conv.bias, self.multiplier, float(self.clamp_min), float(self.clamp_max))\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 4 · 1 tool call(s) · 12.8s turn · 12.8s LLM · 7,805 chars (click to expand)
turn 412.8s turn · 12.8s 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_sources = r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min, double clamp_max);\n\"\"\"\n\ncuda_sources = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <c10/cuda/CUDAGuard.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <float.h>\n\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n\n__global__ void conv_store_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n const float* __restrict__ m,\n float* __restrict__ y,\n int total) {\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n if (g >= total) return;\n // layout y: [N, Co, S], S=14*30*30=12600, Co=16\n int idx = g % 12600;\n int tmp = g / 12600;\n int co = tmp & 15; // %16\n int n = tmp >> 4;\n int ow = idx % 30;\n int t = idx / 30;\n int oh = t % 30;\n int od = t / 30;\n float acc = b[co];\n #pragma unroll\n for (int ci = 0; ci < 3; ++ci) {\n int x_c_base = (n * 3 + ci) * 16 * 32 * 32;\n int w_c_base = (co * 3 + ci) * 27;\n #pragma unroll\n for (int kd = 0; kd < 3; ++kd) {\n int x_d_base = x_c_base + (od + kd) * 32 * 32;\n int w_d_base = w_c_base + kd * 9;\n #pragma unroll\n for (int kh = 0; kh < 3; ++kh) {\n int x_h_base = x_d_base + (oh + kh) * 32 + ow;\n int w_h_base = w_d_base + kh * 3;\n float x0 = x[x_h_base + 0];\n float x1 = x[x_h_base + 1];\n float x2 = x[x_h_base + 2];\n acc = fmaf(x0, w[w_h_base + 0], acc);\n acc = fmaf(x1, w[w_h_base + 1], acc);\n acc = fmaf(x2, w[w_h_base + 2], acc);\n }\n }\n }\n y[g] = acc * m[co];\n}\n\n__global__ void reduce_kernel(const float* __restrict__ y,\n float* __restrict__ mean,\n float* __restrict__ invstd) {\n int nc = blockIdx.x;\n const float* ptr = y + nc * 12600;\n float s = 0.0f;\n float q = 0.0f;\n for (int i = threadIdx.x; i < 12600; i += blockDim.x) {\n float v = ptr[i];\n s += v;\n q = fmaf(v, v, q);\n }\n __shared__ float ss[256];\n __shared__ float qq[256];\n ss[threadIdx.x] = s;\n qq[threadIdx.x] = q;\n __syncthreads();\n for (int stride = 128; stride > 0; stride >>= 1) {\n if (threadIdx.x < stride) {\n ss[threadIdx.x] += ss[threadIdx.x + stride];\n qq[threadIdx.x] += qq[threadIdx.x + stride];\n }\n __syncthreads();\n }\n if (threadIdx.x == 0) {\n float mu = ss[0] * (1.0f / 12600.0f);\n float var = qq[0] * (1.0f / 12600.0f) - mu * mu;\n if (var < 0.0f) var = 0.0f;\n mean[nc] = mu;\n invstd[nc] = rsqrtf(var + 1.0e-5f);\n }\n}\n\n__global__ void norm_max_kernel(const float* __restrict__ y,\n const float* __restrict__ m,\n const float* __restrict__ mean,\n const float* __restrict__ invstd,\n float* __restrict__ out,\n int total_sp,\n float clamp_min, float clamp_max) {\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n if (g >= total_sp) return;\n int idx = g % 12600;\n int n = g / 12600;\n int base_nc = n * 16;\n int y_base = base_nc * 12600 + idx;\n float best = -FLT_MAX;\n #pragma unroll\n for (int co = 0; co < 16; ++co) {\n float z = (y[y_base + co * 12600] - mean[base_nc + co]) * invstd[base_nc + co];\n z = fminf(fmaxf(z, clamp_min), clamp_max);\n float v = z * m[co];\n best = fmaxf(best, v);\n }\n out[g] = best;\n}\n\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min_d, double clamp_max_d) {\n CHECK_CUDA(x); CHECK_CUDA(weight); CHECK_CUDA(bias); CHECK_CUDA(mult);\n const at::cuda::OptionalCUDAGuard device_guard(device_of(x));\n TORCH_CHECK(x.scalar_type() == at::kFloat, \"only float32 supported\");\n auto xc = x.contiguous();\n auto wc = weight.contiguous();\n auto bc = bias.contiguous();\n auto mc = mult.contiguous();\n TORCH_CHECK(xc.size(0) == 128 && xc.size(1) == 3 && xc.size(2) == 16 && xc.size(3) == 32 && xc.size(4) == 32, \"bad input shape\");\n TORCH_CHECK(wc.size(0) == 16 && wc.size(1) == 3 && wc.size(2) == 3 && wc.size(3) == 3 && wc.size(4) == 3, \"bad weight shape\");\n auto opts = xc.options();\n auto y = torch::empty({128, 16, 12600}, opts);\n auto mean = torch::empty({128, 16}, opts);\n auto invstd = torch::empty({128, 16}, opts);\n auto out = torch::empty({128, 14, 30, 30}, opts);\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n int total_y = 128 * 16 * 12600;\n conv_store_kernel<<<(total_y + 255) / 256, 256, 0, stream>>>(xc.data_ptr<float>(), wc.data_ptr<float>(), bc.data_ptr<float>(), mc.data_ptr<float>(), y.data_ptr<float>(), total_y);\n reduce_kernel<<<128 * 16, 256, 0, stream>>>(y.data_ptr<float>(), mean.data_ptr<float>(), invstd.data_ptr<float>());\n int total_sp = 128 * 12600;\n norm_max_kernel<<<(total_sp + 255) / 256, 256, 0, stream>>>(y.data_ptr<float>(), mc.data_ptr<float>(), mean.data_ptr<float>(), invstd.data_ptr<float>(), out.data_ptr<float>(), total_sp, (float)clamp_min_d, (float)clamp_max_d);\n return out;\n}\n\"\"\"\n\n_ext = load_inline(name=\"fused_conv_inorm_max_ext_v2\", cpp_sources=cpp_sources, cuda_sources=cuda_sources,\n functions=[\"fused_forward\"], extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, multiplier_shape, clamp_min, clamp_max):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv3d(in_channels, out_channels, kernel_size)\n self.multiplier = nn.Parameter(torch.randn(multiplier_shape))\n self.instance_norm = nn.InstanceNorm3d(out_channels)\n self.clamp_min = clamp_min\n self.clamp_max = clamp_max\n def forward(self, x):\n return _ext.fused_forward(x, self.conv.weight, self.conv.bias, self.multiplier, float(self.clamp_min), float(self.clamp_max))\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=4.29e-06 mean_abs_err=1.47e-07 max_rel_err=4.08e-03
turn 5 · 1 tool call(s) · 13.4s turn · 13.4s LLM · 8,191 chars (click to expand)
turn 513.4s turn · 13.4s LLM · 0.0s tools
reasoning
**Testing submission timing** I think I need to test the timing by using the submit tool to see how it works. I need to decide between version 1 and version 2. I'm wondering if I can combine that with a static check for both versions to make sure everything's working correctly. This decision feels important, so I want to ensure I'm careful about it! Let's see how it goes, I suppose.
call → static_check
callstatic_check { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_sources = r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min, double clamp_max);\n\"\"\"\n\ncuda_sources = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <c10/cuda/CUDAGuard.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <float.h>\n\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n\n__global__ void conv_store_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n const float* __restrict__ m,\n float* __restrict__ y,\n int total) {\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n if (g >= total) return;\n // layout y: [N, Co, S], S=14*30*30=12600, Co=16\n int idx = g % 12600;\n int tmp = g / 12600;\n int co = tmp & 15; // %16\n int n = tmp >> 4;\n int ow = idx % 30;\n int t = idx / 30;\n int oh = t % 30;\n int od = t / 30;\n float acc = b[co];\n #pragma unroll\n for (int ci = 0; ci < 3; ++ci) {\n int x_c_base = (n * 3 + ci) * 16 * 32 * 32;\n int w_c_base = (co * 3 + ci) * 27;\n #pragma unroll\n for (int kd = 0; kd < 3; ++kd) {\n int x_d_base = x_c_base + (od + kd) * 32 * 32;\n int w_d_base = w_c_base + kd * 9;\n #pragma unroll\n for (int kh = 0; kh < 3; ++kh) {\n int x_h_base = x_d_base + (oh + kh) * 32 + ow;\n int w_h_base = w_d_base + kh * 3;\n float x0 = x[x_h_base + 0];\n float x1 = x[x_h_base + 1];\n float x2 = x[x_h_base + 2];\n acc = fmaf(x0, w[w_h_base + 0], acc);\n acc = fmaf(x1, w[w_h_base + 1], acc);\n acc = fmaf(x2, w[w_h_base + 2], acc);\n }\n }\n }\n y[g] = acc * m[co];\n}\n\n__global__ void reduce_kernel(const float* __restrict__ y,\n float* __restrict__ mean,\n float* __restrict__ invstd) {\n int nc = blockIdx.x;\n const float* ptr = y + nc * 12600;\n float s = 0.0f;\n float q = 0.0f;\n for (int i = threadIdx.x; i < 12600; i += blockDim.x) {\n float v = ptr[i];\n s += v;\n q = fmaf(v, v, q);\n }\n __shared__ float ss[256];\n __shared__ float qq[256];\n ss[threadIdx.x] = s;\n qq[threadIdx.x] = q;\n __syncthreads();\n for (int stride = 128; stride > 0; stride >>= 1) {\n if (threadIdx.x < stride) {\n ss[threadIdx.x] += ss[threadIdx.x + stride];\n qq[threadIdx.x] += qq[threadIdx.x + stride];\n }\n __syncthreads();\n }\n if (threadIdx.x == 0) {\n float mu = ss[0] * (1.0f / 12600.0f);\n float var = qq[0] * (1.0f / 12600.0f) - mu * mu;\n if (var < 0.0f) var = 0.0f;\n mean[nc] = mu;\n invstd[nc] = rsqrtf(var + 1.0e-5f);\n }\n}\n\n__global__ void norm_max_kernel(const float* __restrict__ y,\n const float* __restrict__ m,\n const float* __restrict__ mean,\n const float* __restrict__ invstd,\n float* __restrict__ out,\n int total_sp,\n float clamp_min, float clamp_max) {\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n if (g >= total_sp) return;\n int idx = g % 12600;\n int n = g / 12600;\n int base_nc = n * 16;\n int y_base = base_nc * 12600 + idx;\n float best = -FLT_MAX;\n #pragma unroll\n for (int co = 0; co < 16; ++co) {\n float z = (y[y_base + co * 12600] - mean[base_nc + co]) * invstd[base_nc + co];\n z = fminf(fmaxf(z, clamp_min), clamp_max);\n float v = z * m[co];\n best = fmaxf(best, v);\n }\n out[g] = best;\n}\n\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min_d, double clamp_max_d) {\n CHECK_CUDA(x); CHECK_CUDA(weight); CHECK_CUDA(bias); CHECK_CUDA(mult);\n const at::cuda::OptionalCUDAGuard device_guard(device_of(x));\n TORCH_CHECK(x.scalar_type() == at::kFloat, \"only float32 supported\");\n auto xc = x.contiguous();\n auto wc = weight.contiguous();\n auto bc = bias.contiguous();\n auto mc = mult.contiguous();\n TORCH_CHECK(xc.size(0) == 128 && xc.size(1) == 3 && xc.size(2) == 16 && xc.size(3) == 32 && xc.size(4) == 32, \"bad input shape\");\n TORCH_CHECK(wc.size(0) == 16 && wc.size(1) == 3 && wc.size(2) == 3 && wc.size(3) == 3 && wc.size(4) == 3, \"bad weight shape\");\n auto opts = xc.options();\n auto y = torch::empty({128, 16, 12600}, opts);\n auto mean = torch::empty({128, 16}, opts);\n auto invstd = torch::empty({128, 16}, opts);\n auto out = torch::empty({128, 14, 30, 30}, opts);\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n int total_y = 128 * 16 * 12600;\n conv_store_kernel<<<(total_y + 255) / 256, 256, 0, stream>>>(xc.data_ptr<float>(), wc.data_ptr<float>(), bc.data_ptr<float>(), mc.data_ptr<float>(), y.data_ptr<float>(), total_y);\n reduce_kernel<<<128 * 16, 256, 0, stream>>>(y.data_ptr<float>(), mean.data_ptr<float>(), invstd.data_ptr<float>());\n int total_sp = 128 * 12600;\n norm_max_kernel<<<(total_sp + 255) / 256, 256, 0, stream>>>(y.data_ptr<float>(), mc.data_ptr<float>(), mean.data_ptr<float>(), invstd.data_ptr<float>(), out.data_ptr<float>(), total_sp, (float)clamp_min_d, (float)clamp_max_d);\n return out;\n}\n\"\"\"\n\n_ext = load_inline(name=\"fused_conv_inorm_max_ext_v2\", cpp_sources=cpp_sources, cuda_sources=cuda_sources,\n functions=[\"fused_forward\"], extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, multiplier_shape, clamp_min, clamp_max):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv3d(in_channels, out_channels, kernel_size)\n self.multiplier = nn.Parameter(torch.randn(multiplier_shape))\n self.instance_norm = nn.InstanceNorm3d(out_channels)\n self.clamp_min = clamp_min\n self.clamp_max = clamp_max\n def forward(self, x):\n return _ext.fused_forward(x, self.conv.weight, self.conv.bias, self.multiplier, float(self.clamp_min), float(self.clamp_max))\n" }
result ← static_check (ok)
okstatic_check static_check PASSED: no violations or warnings detected.
turn 6 · FINAL · 1 tool call(s) · 16.3s turn · 16.3s LLM · 8,125 chars (click to expand)
turn 616.3s turn · 16.3s 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_sources = r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min, double clamp_max);\n\"\"\"\n\ncuda_sources = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <c10/cuda/CUDAGuard.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <float.h>\n\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n\n__global__ void conv_store_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n const float* __restrict__ m,\n float* __restrict__ y,\n int total) {\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n if (g >= total) return;\n // y layout: [N, Co, S], S=14*30*30=12600, Co=16\n int idx = g % 12600;\n int tmp = g / 12600;\n int co = tmp & 15;\n int n = tmp >> 4;\n\n int ow = idx % 30;\n int t = idx / 30;\n int oh = t % 30;\n int od = t / 30;\n\n float acc = b[co];\n #pragma unroll\n for (int ci = 0; ci < 3; ++ci) {\n int x_c_base = (n * 3 + ci) * 16384;\n int w_c_base = (co * 3 + ci) * 27;\n #pragma unroll\n for (int kd = 0; kd < 3; ++kd) {\n int x_d_base = x_c_base + (od + kd) * 1024;\n int w_d_base = w_c_base + kd * 9;\n #pragma unroll\n for (int kh = 0; kh < 3; ++kh) {\n int x_h_base = x_d_base + (oh + kh) * 32 + ow;\n int w_h_base = w_d_base + kh * 3;\n float x0 = x[x_h_base];\n float x1 = x[x_h_base + 1];\n float x2 = x[x_h_base + 2];\n acc = fmaf(x0, w[w_h_base], acc);\n acc = fmaf(x1, w[w_h_base + 1], acc);\n acc = fmaf(x2, w[w_h_base + 2], acc);\n }\n }\n }\n y[g] = acc * m[co];\n}\n\n__global__ void reduce_kernel(const float* __restrict__ y,\n float* __restrict__ mean,\n float* __restrict__ invstd) {\n int nc = blockIdx.x;\n const float* ptr = y + nc * 12600;\n float s = 0.0f;\n float q = 0.0f;\n for (int i = threadIdx.x; i < 12600; i += blockDim.x) {\n float v = ptr[i];\n s += v;\n q = fmaf(v, v, q);\n }\n __shared__ float ss[256];\n __shared__ float qq[256];\n ss[threadIdx.x] = s;\n qq[threadIdx.x] = q;\n __syncthreads();\n for (int stride = 128; stride > 0; stride >>= 1) {\n if (threadIdx.x < stride) {\n ss[threadIdx.x] += ss[threadIdx.x + stride];\n qq[threadIdx.x] += qq[threadIdx.x + stride];\n }\n __syncthreads();\n }\n if (threadIdx.x == 0) {\n float mu = ss[0] * (1.0f / 12600.0f);\n float var = qq[0] * (1.0f / 12600.0f) - mu * mu;\n if (var < 0.0f) var = 0.0f;\n mean[nc] = mu;\n invstd[nc] = rsqrtf(var + 1.0e-5f);\n }\n}\n\n__global__ void norm_max_kernel(const float* __restrict__ y,\n const float* __restrict__ m,\n const float* __restrict__ mean,\n const float* __restrict__ invstd,\n float* __restrict__ out,\n int total_sp,\n float clamp_min, float clamp_max) {\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n if (g >= total_sp) return;\n int idx = g % 12600;\n int n = g / 12600;\n int base_nc = n * 16;\n int y_base = base_nc * 12600 + idx;\n float best = -FLT_MAX;\n #pragma unroll\n for (int co = 0; co < 16; ++co) {\n float z = (y[y_base + co * 12600] - mean[base_nc + co]) * invstd[base_nc + co];\n z = fminf(fmaxf(z, clamp_min), clamp_max);\n float v = z * m[co];\n best = fmaxf(best, v);\n }\n out[g] = best;\n}\n\ntorch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min_d, double clamp_max_d) {\n CHECK_CUDA(x); CHECK_CUDA(weight); CHECK_CUDA(bias); CHECK_CUDA(mult);\n const at::cuda::OptionalCUDAGuard device_guard(device_of(x));\n TORCH_CHECK(x.scalar_type() == at::kFloat, \"only float32 supported\");\n auto xc = x.contiguous();\n auto wc = weight.contiguous();\n auto bc = bias.contiguous();\n auto mc = mult.contiguous();\n TORCH_CHECK(xc.size(0) == 128 && xc.size(1) == 3 && xc.size(2) == 16 && xc.size(3) == 32 && xc.size(4) == 32, \"bad input shape\");\n TORCH_CHECK(wc.size(0) == 16 && wc.size(1) == 3 && wc.size(2) == 3 && wc.size(3) == 3 && wc.size(4) == 3, \"bad weight shape\");\n\n auto opts = xc.options();\n auto y = torch::empty({128, 16, 12600}, opts);\n auto mean = torch::empty({128, 16}, opts);\n auto invstd = torch::empty({128, 16}, opts);\n auto out = torch::empty({128, 14, 30, 30}, opts);\n\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n int total_y = 128 * 16 * 12600;\n conv_store_kernel<<<(total_y + 255) / 256, 256, 0, stream>>>(\n xc.data_ptr<float>(), wc.data_ptr<float>(), bc.data_ptr<float>(), mc.data_ptr<float>(),\n y.data_ptr<float>(), total_y);\n reduce_kernel<<<128 * 16, 256, 0, stream>>>(\n y.data_ptr<float>(), mean.data_ptr<float>(), invstd.data_ptr<float>());\n int total_sp = 128 * 12600;\n norm_max_kernel<<<(total_sp + 255) / 256, 256, 0, stream>>>(\n y.data_ptr<float>(), mc.data_ptr<float>(), mean.data_ptr<float>(), invstd.data_ptr<float>(),\n out.data_ptr<float>(), total_sp, (float)clamp_min_d, (float)clamp_max_d);\n return out;\n}\n\"\"\"\n\n_ext = load_inline(name=\"fused_conv_inorm_max_ext_final\", cpp_sources=cpp_sources, cuda_sources=cuda_sources,\n functions=[\"fused_forward\"], extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, multiplier_shape, clamp_min, clamp_max):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv3d(in_channels, out_channels, kernel_size)\n self.multiplier = nn.Parameter(torch.randn(multiplier_shape))\n self.instance_norm = nn.InstanceNorm3d(out_channels)\n self.clamp_min = clamp_min\n self.clamp_max = clamp_max\n\n def forward(self, x):\n return _ext.fused_forward(x, self.conv.weight, self.conv.bias, self.multiplier,\n float(self.clamp_min), float(self.clamp_max))\n" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (5 / 5) correctness trials all passed. Kernel runtime: 0.91 μs Runtime stats: mean=0.91μs median=?μs std=0.00μs Numerical precision: max_abs_err=4.29e-06 mean_abs_err=1.47e-07 max_rel_err=4.08e-03 Memory: 161.62 MB peak (ref: 253.9 MB, ratio: 0.6365x) Kernel launches: 4 (ref: 30, fusion ratio: 7.5) Energy: 751.92 mJ/run (ref: 921.46 mJ, ratio: 1.2255x) SOL score: 1.0
final submitted kernel (168 lines, 6,617 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

cpp_sources = r"""
#include <torch/extension.h>
torch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min, double clamp_max);
"""

cuda_sources = r"""
#include <torch/extension.h>
#include <ATen/cuda/CUDAContext.h>
#include <c10/cuda/CUDAGuard.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include <float.h>

#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x " must be a CUDA tensor")

__global__ void conv_store_kernel(const float* __restrict__ x,
                                  const float* __restrict__ w,
                                  const float* __restrict__ b,
                                  const float* __restrict__ m,
                                  float* __restrict__ y,
                                  int total) {
    int g = blockIdx.x * blockDim.x + threadIdx.x;
    if (g >= total) return;
    // y layout: [N, Co, S], S=14*30*30=12600, Co=16
    int idx = g % 12600;
    int tmp = g / 12600;
    int co = tmp & 15;
    int n = tmp >> 4;

    int ow = idx % 30;
    int t = idx / 30;
    int oh = t % 30;
    int od = t / 30;

    float acc = b[co];
    #pragma unroll
    for (int ci = 0; ci < 3; ++ci) {
        int x_c_base = (n * 3 + ci) * 16384;
        int w_c_base = (co * 3 + ci) * 27;
        #pragma unroll
        for (int kd = 0; kd < 3; ++kd) {
            int x_d_base = x_c_base + (od + kd) * 1024;
            int w_d_base = w_c_base + kd * 9;
            #pragma unroll
            for (int kh = 0; kh < 3; ++kh) {
                int x_h_base = x_d_base + (oh + kh) * 32 + ow;
                int w_h_base = w_d_base + kh * 3;
                float x0 = x[x_h_base];
                float x1 = x[x_h_base + 1];
                float x2 = x[x_h_base + 2];
                acc = fmaf(x0, w[w_h_base], acc);
                acc = fmaf(x1, w[w_h_base + 1], acc);
                acc = fmaf(x2, w[w_h_base + 2], acc);
            }
        }
    }
    y[g] = acc * m[co];
}

__global__ void reduce_kernel(const float* __restrict__ y,
                              float* __restrict__ mean,
                              float* __restrict__ invstd) {
    int nc = blockIdx.x;
    const float* ptr = y + nc * 12600;
    float s = 0.0f;
    float q = 0.0f;
    for (int i = threadIdx.x; i < 12600; i += blockDim.x) {
        float v = ptr[i];
        s += v;
        q = fmaf(v, v, q);
    }
    __shared__ float ss[256];
    __shared__ float qq[256];
    ss[threadIdx.x] = s;
    qq[threadIdx.x] = q;
    __syncthreads();
    for (int stride = 128; stride > 0; stride >>= 1) {
        if (threadIdx.x < stride) {
            ss[threadIdx.x] += ss[threadIdx.x + stride];
            qq[threadIdx.x] += qq[threadIdx.x + stride];
        }
        __syncthreads();
    }
    if (threadIdx.x == 0) {
        float mu = ss[0] * (1.0f / 12600.0f);
        float var = qq[0] * (1.0f / 12600.0f) - mu * mu;
        if (var < 0.0f) var = 0.0f;
        mean[nc] = mu;
        invstd[nc] = rsqrtf(var + 1.0e-5f);
    }
}

__global__ void norm_max_kernel(const float* __restrict__ y,
                                const float* __restrict__ m,
                                const float* __restrict__ mean,
                                const float* __restrict__ invstd,
                                float* __restrict__ out,
                                int total_sp,
                                float clamp_min, float clamp_max) {
    int g = blockIdx.x * blockDim.x + threadIdx.x;
    if (g >= total_sp) return;
    int idx = g % 12600;
    int n = g / 12600;
    int base_nc = n * 16;
    int y_base = base_nc * 12600 + idx;
    float best = -FLT_MAX;
    #pragma unroll
    for (int co = 0; co < 16; ++co) {
        float z = (y[y_base + co * 12600] - mean[base_nc + co]) * invstd[base_nc + co];
        z = fminf(fmaxf(z, clamp_min), clamp_max);
        float v = z * m[co];
        best = fmaxf(best, v);
    }
    out[g] = best;
}

torch::Tensor fused_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor mult, double clamp_min_d, double clamp_max_d) {
    CHECK_CUDA(x); CHECK_CUDA(weight); CHECK_CUDA(bias); CHECK_CUDA(mult);
    const at::cuda::OptionalCUDAGuard device_guard(device_of(x));
    TORCH_CHECK(x.scalar_type() == at::kFloat, "only float32 supported");
    auto xc = x.contiguous();
    auto wc = weight.contiguous();
    auto bc = bias.contiguous();
    auto mc = mult.contiguous();
    TORCH_CHECK(xc.size(0) == 128 && xc.size(1) == 3 && xc.size(2) == 16 && xc.size(3) == 32 && xc.size(4) == 32, "bad input shape");
    TORCH_CHECK(wc.size(0) == 16 && wc.size(1) == 3 && wc.size(2) == 3 && wc.size(3) == 3 && wc.size(4) == 3, "bad weight shape");

    auto opts = xc.options();
    auto y = torch::empty({128, 16, 12600}, opts);
    auto mean = torch::empty({128, 16}, opts);
    auto invstd = torch::empty({128, 16}, opts);
    auto out = torch::empty({128, 14, 30, 30}, opts);

    cudaStream_t stream = at::cuda::getCurrentCUDAStream();
    int total_y = 128 * 16 * 12600;
    conv_store_kernel<<<(total_y + 255) / 256, 256, 0, stream>>>(
        xc.data_ptr<float>(), wc.data_ptr<float>(), bc.data_ptr<float>(), mc.data_ptr<float>(),
        y.data_ptr<float>(), total_y);
    reduce_kernel<<<128 * 16, 256, 0, stream>>>(
        y.data_ptr<float>(), mean.data_ptr<float>(), invstd.data_ptr<float>());
    int total_sp = 128 * 12600;
    norm_max_kernel<<<(total_sp + 255) / 256, 256, 0, stream>>>(
        y.data_ptr<float>(), mc.data_ptr<float>(), mean.data_ptr<float>(), invstd.data_ptr<float>(),
        out.data_ptr<float>(), total_sp, (float)clamp_min_d, (float)clamp_max_d);
    return out;
}
"""

_ext = load_inline(name="fused_conv_inorm_max_ext_final", cpp_sources=cpp_sources, cuda_sources=cuda_sources,
                   functions=["fused_forward"], extra_cuda_cflags=["-O3", "--use_fast_math"], verbose=False)

class ModelNew(nn.Module):
    def __init__(self, in_channels, out_channels, kernel_size, multiplier_shape, clamp_min, clamp_max):
        super(ModelNew, self).__init__()
        self.conv = nn.Conv3d(in_channels, out_channels, kernel_size)
        self.multiplier = nn.Parameter(torch.randn(multiplier_shape))
        self.instance_norm = nn.InstanceNorm3d(out_channels)
        self.clamp_min = clamp_min
        self.clamp_max = clamp_max

    def forward(self, x):
        return _ext.fused_forward(x, self.conv.weight, self.conv.bias, self.multiplier,
                                  float(self.clamp_min), float(self.clamp_max))