gpt-5.5-priority · original · l12_all_gpt
correct 52_Conv2d_Activation_BatchNorm.py
model
gpt-5.5-priority
turns / max
12 / 15
tool calls
12
tokens (total)
0
wall clock
—
truncated
no
backend
cuda fp32
variant
original
runtime
2.66 μs
ref runtime
3.51 μs
speedup
1.32x
started
2026-05-04T04:14:26Z
timingkernelbench.timing
kernel runtime
2.66 μs
ref runtime
3.51 μs
speedup
1.32x
kernel mean / median / std
2.66 / — / 0.13 μs
ref mean / median / std
3.51 / — / 0.02 μs
numerical precisioneval_kernel_against_ref
max abs error
2.67e-05
mean abs error
2.19e-07
max rel error
953816.88
mean rel error
0.01
gpu memoryextended_metrics.measure_memory
kernel peak
1008.98 MB
ref peak
1744.94 MB
kernel / ref
0.58x
kernel launches / fusiontorch.profiler
kernel launches
11
ref launches
22
fusion ratio (ref / kernel)
2.00x
total cuda time
6085 μs
energyNVML (pynvml)
kernel mJ / run
483.40
ref mJ / run
484.10
ratio (ref / kernel)
1.00x
avg power
182.52 W
ref avg power
137.94 W
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
1.000
dram util %
100.0%
compute util %
66.0%
bottleneck
memory-bound
dominant pipe
tensor-core
arithmetic intensity
—
ridge point
295.22
roofline / occupancynsight_hardware_counters
dram bandwidth
9583.19 GB/s
dram util %
100.0%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
383.0%
bottleneck
memory-bound
dominant pipe %
66.0%
arithmetic intensity
—
ridge point
295.22
L1 hit %
—
L2 hit %
480.9%
ld sectors / req
32.40
st sectors / req
—
regs / thread
416
smem / block
85248 B
block size
1536
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
9833.1%
short_scoreboard
1022.8%
mio_throttle
97.8%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn

class Model(nn.Module):
    """
    Simple model that performs a convolution, applies activation, and then applies Batch Normalization.
    """
    def __init__(self, in_channels, out_channels, kernel_size, eps=1e-5, momentum=0.1):
        super(Model, self).__init__()
        self.conv = nn.Conv2d(in_channels, out_channels, kernel_size)
        self.bn = nn.BatchNorm2d(out_channels, eps=eps, momentum=momentum)

    def forward(self, x):
        x = self.conv(x)
        x = torch.multiply(torch.tanh(torch.nn.functional.softplus(x)), x)
        x = self.bn(x)
        return x

batch_size = 64
in_channels = 64
out_channels = 128
height, width = 128, 128
kernel_size = 3

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

def get_init_inputs():
    return [in_channels, out_channels, kernel_size]
turn 010.7s turn · 10.7s LLM · 0.0s tools
reasoning
**Exploring performance optimization** I’m thinking about speeding things up by fusing activation and batch normalization (BN). The reference involves using torch operations and batch normalization alongside cuDNN convolution. While fusing might save on memory and overhead, there's quite a bit of complexity, especially with needing to handle two passes over 130 million elements. If I'm focusing on the evaluation mode, I can use running averages and make the forwarding simpler. I’ll need to confirm correctness by compiling a basic class and including the required modules, and I would create an extension for this process. **Considering normalization updates** I’m thinking about how to output normalized values using biased variance during the forward pass. In PyTorch's BatchNorm training, the mean and the biased variance are used for normalization, while running variance gets updated with the unbiased version. It seems that I need to continuously update the running statistics. To ensure correctness, I might simply compare outputs, but repeated correctness trials could require consistent updates too. So, I’ll focus on making those updates regularly.
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) · 34.8s turn · 34.8s LLM · 11,526 chars (click to expand)
turn 134.8s turn · 34.8s LLM · 0.0s tools
reasoning
**Optimizing Convolution with PyTorch** I’m looking at how to optimize the H100 PyTorch convolution, which is quite fast. I need to create a kernel and consider using extension kernels with `torch.ops`. Maybe `torch.compile` isn’t the right direction, but I can use `load_inline`. For activation functions, I’m considering Mish, which is defined with z=f(x)=x*tanh(softplus(x)). I need to compute the sum and sum squared of activated outputs for normalization. There’s potential to improve efficiency by fusing activations into statistics and minimizing data writes. I'll have to ensure I manage reads and writes smartly for performance. **Exploring Kernel Optimization** I’m noticing that using one block per channel limits parallelism, especially since I have 128 blocks with 256 threads each, managing about 3970 values. I think maybe I could improve parallelism by using multiple blocks per channel for partial sums, like 8 blocks per channel, summing to 1024 blocks. The data layout for convolution output in NCHW format seems effective for coalescing reads and writes, particularly with the activation function's cost. It’s worth considering whether the stats kernel could write activated values to temporary storage. It’s a balancing act! **Optimizing Convolution Output** I’m considering that the convolution output can be overwritten since the result, except for activation, isn’t needed. I could use the `activation_stats_kernel` to compute the activation and store it back to y, while also accumulating partial sums. This means normalization can read directly from y, which is efficient for managing activations. Instead of using one block per channel, I could have the first kernel process all elements together to compute the activation, store it in y, and accumulate the necessary statistics. It feels like a good direction! **Evaluating PyTorch softplus** I'm thinking about the PyTorch softplus function, which has a threshold of 20. It makes sense to compare its performance or results in some way. I wonder how the threshold affects the output for different inputs. Should I add some additional information or context for clarity? It seems like there could be a useful exploration here! I'll keep that in mind as I look further into it.
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\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps);\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.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\nstatic inline int div_up_int64(int64_t a, int b){ return (int)((a + b - 1) / b); }\n\n__device__ __forceinline__ float mish_func(float x) {\n float sp;\n if (x > 20.0f) sp = x;\n else sp = log1pf(expf(x));\n return x * tanhf(sp);\n}\n\ntemplate<int BLOCK>\n__global__ void act_partial_kernel(float* __restrict__ x,\n float* __restrict__ psum,\n float* __restrict__ psq,\n int C, int HW, int M, int parts) {\n int c = blockIdx.x;\n int p = blockIdx.y;\n int tid = threadIdx.x;\n int64_t start = ((int64_t)p * M) / parts;\n int64_t end = ((int64_t)(p + 1) * M) / parts;\n float sum = 0.0f;\n float sq = 0.0f;\n for (int64_t m = start + tid; m < end; m += BLOCK) {\n int n = (int)(m / HW);\n int hw = (int)(m - (int64_t)n * HW);\n int64_t idx = ((int64_t)n * C + c) * HW + hw;\n float v = x[idx];\n float a = mish_func(v);\n x[idx] = a;\n sum += a;\n sq += a * a;\n }\n __shared__ float ssum[BLOCK];\n __shared__ float ssq[BLOCK];\n ssum[tid] = sum;\n ssq[tid] = sq;\n __syncthreads();\n for (int stride = BLOCK/2; stride > 0; stride >>= 1) {\n if (tid < stride) {\n ssum[tid] += ssum[tid + stride];\n ssq[tid] += ssq[tid + stride];\n }\n __syncthreads();\n }\n if (tid == 0) {\n int off = c * parts + p;\n psum[off] = ssum[0];\n psq[off] = ssq[0];\n }\n}\n\ntemplate<int BLOCK>\n__global__ void finalize_kernel(const float* __restrict__ psum,\n const float* __restrict__ psq,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ running_mean,\n float* __restrict__ running_var,\n float* __restrict__ mean_out,\n float* __restrict__ scale_out,\n float* __restrict__ shift_out,\n int C, int M, int parts, float momentum, float eps) {\n int c = blockIdx.x;\n int tid = threadIdx.x;\n float sum = 0.0f, sq = 0.0f;\n for (int p = tid; p < parts; p += BLOCK) {\n int off = c * parts + p;\n sum += psum[off];\n sq += psq[off];\n }\n __shared__ float ssum[BLOCK];\n __shared__ float ssq[BLOCK];\n ssum[tid] = sum; ssq[tid] = sq;\n __syncthreads();\n for (int stride = BLOCK/2; stride > 0; stride >>= 1) {\n if (tid < stride) { ssum[tid] += ssum[tid+stride]; ssq[tid] += ssq[tid+stride]; }\n __syncthreads();\n }\n if (tid == 0) {\n float mean = ssum[0] / (float)M;\n float var = ssq[0] / (float)M - mean * mean;\n if (var < 0.0f) var = 0.0f;\n float inv = rsqrtf(var + eps);\n float w = weight[c];\n float b = bias[c];\n mean_out[c] = mean;\n scale_out[c] = w * inv;\n shift_out[c] = b - mean * w * inv;\n running_mean[c] = running_mean[c] * (1.0f - momentum) + momentum * mean;\n float unb = var * ((float)M / (float)(M - 1));\n running_var[c] = running_var[c] * (1.0f - momentum) + momentum * unb;\n }\n}\n\n__global__ void norm_kernel(float* __restrict__ x,\n const float* __restrict__ scale,\n const float* __restrict__ shift,\n int64_t total, int C, int HW) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (; idx < total; idx += stride) {\n int c = (int)((idx / HW) % C);\n x[idx] = x[idx] * scale[c] + shift[c];\n }\n}\n\n__global__ void eval_kernel(float* __restrict__ x,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n const float* __restrict__ running_mean,\n const float* __restrict__ running_var,\n int64_t total, int C, int HW, float eps) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (; idx < total; idx += stride) {\n int c = (int)((idx / HW) % C);\n float a = mish_func(x[idx]);\n float inv = rsqrtf(running_var[c] + eps);\n x[idx] = (a - running_mean[c]) * inv * weight[c] + bias[c];\n }\n}\n\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps) {\n CHECK_CUDA(x); CHECK_CUDA(weight); CHECK_CUDA(bias); CHECK_CUDA(running_mean); CHECK_CUDA(running_var);\n TORCH_CHECK(x.dtype() == torch::kFloat32, \"float32 only\");\n TORCH_CHECK(x.dim() == 4, \"x must be NCHW\");\n int N = (int)x.size(0), C = (int)x.size(1), H = (int)x.size(2), W = (int)x.size(3);\n int HW = H * W;\n int M = N * HW;\n int64_t total = x.numel();\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n const int threads = 256;\n if (training) {\n int parts = 16;\n auto opts = x.options();\n auto partial_sum = torch::empty({C, parts}, opts);\n auto partial_sq = torch::empty({C, parts}, opts);\n auto mean = torch::empty({C}, opts);\n auto scale = torch::empty({C}, opts);\n auto shift = torch::empty({C}, opts);\n dim3 grid1(C, parts);\n act_partial_kernel<256><<<grid1, threads, 0, stream>>>(x.data_ptr<float>(), partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), C, HW, M, parts);\n finalize_kernel<256><<<C, threads, 0, stream>>>(partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), running_mean.data_ptr<float>(), running_var.data_ptr<float>(), mean.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(), C, M, parts, (float)momentum, (float)eps);\n int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));\n norm_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(), total, C, HW);\n } else {\n int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));\n eval_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), running_mean.data_ptr<float>(), running_var.data_ptr<float>(), total, C, HW, (float)eps);\n }\n return x;\n}\n'''\n\n_ext = load_inline(name='mish_bn_ext_v1', cpp_sources=[cpp_src], cuda_sources=[cuda_src], functions=['mish_bn_forward'], extra_cuda_cflags=['-O3', '--use_fast_math'], extra_cflags=['-O3'], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, eps=1e-5, momentum=0.1):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv2d(in_channels, out_channels, kernel_size)\n self.bn = nn.BatchNorm2d(out_channels, eps=eps, momentum=momentum)\n def forward(self, x):\n y = self.conv(x)\n return _ext.mish_bn_forward(y, self.bn.weight, self.bn.bias, self.bn.running_mean, self.bn.running_var, self.training, float(self.bn.momentum), float(self.bn.eps))\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 2 · 1 tool call(s) · 14.4s turn · 14.4s LLM · 9,258 chars (click to expand)
turn 214.4s turn · 14.4s 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\n\ncpp_src = r'''\n#include <torch/extension.h>\n\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps);\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.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\nstatic inline int div_up_int64(int64_t a, int b){ return (int)((a + b - 1) / b); }\n\n__device__ __forceinline__ float mish_func(float x) {\n float sp;\n if (x > 20.0f) sp = x;\n else sp = log1pf(expf(x));\n return x * tanhf(sp);\n}\n\ntemplate<int BLOCK>\n__global__ void act_partial_kernel(float* __restrict__ x,\n float* __restrict__ psum,\n float* __restrict__ psq,\n int C, int HW, int M, int parts) {\n int c = blockIdx.x;\n int p = blockIdx.y;\n int tid = threadIdx.x;\n int64_t start = ((int64_t)p * M) / parts;\n int64_t end = ((int64_t)(p + 1) * M) / parts;\n float sum = 0.0f;\n float sq = 0.0f;\n for (int64_t m = start + tid; m < end; m += BLOCK) {\n int n = (int)(m / HW);\n int hw = (int)(m - (int64_t)n * HW);\n int64_t idx = ((int64_t)n * C + c) * HW + hw;\n float v = x[idx];\n float a = mish_func(v);\n x[idx] = a;\n sum += a;\n sq += a * a;\n }\n __shared__ float ssum[BLOCK];\n __shared__ float ssq[BLOCK];\n ssum[tid] = sum;\n ssq[tid] = sq;\n __syncthreads();\n for (int stride = BLOCK/2; stride > 0; stride >>= 1) {\n if (tid < stride) {\n ssum[tid] += ssum[tid + stride];\n ssq[tid] += ssq[tid + stride];\n }\n __syncthreads();\n }\n if (tid == 0) {\n int off = c * parts + p;\n psum[off] = ssum[0];\n psq[off] = ssq[0];\n }\n}\n\ntemplate<int BLOCK>\n__global__ void finalize_kernel(const float* __restrict__ psum,\n const float* __restrict__ psq,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ running_mean,\n float* __restrict__ running_var,\n float* __restrict__ mean_out,\n float* __restrict__ scale_out,\n float* __restrict__ shift_out,\n int C, int M, int parts, float momentum, float eps) {\n int c = blockIdx.x;\n int tid = threadIdx.x;\n float sum = 0.0f, sq = 0.0f;\n for (int p = tid; p < parts; p += BLOCK) {\n int off = c * parts + p;\n sum += psum[off];\n sq += psq[off];\n }\n __shared__ float ssum[BLOCK];\n __shared__ float ssq[BLOCK];\n ssum[tid] = sum; ssq[tid] = sq;\n __syncthreads();\n for (int stride = BLOCK/2; stride > 0; stride >>= 1) {\n if (tid < stride) { ssum[tid] += ssum[tid+stride]; ssq[tid] += ssq[tid+stride]; }\n __syncthreads();\n }\n if (tid == 0) {\n float mean = ssum[0] / (float)M;\n float var = ssq[0] / (float)M - mean * mean;\n if (var < 0.0f) var = 0.0f;\n float inv = rsqrtf(var + eps);\n float w = weight[c];\n float b = bias[c];\n mean_out[c] = mean;\n scale_out[c] = w * inv;\n shift_out[c] = b - mean * w * inv;\n running_mean[c] = running_mean[c] * (1.0f - momentum) + momentum * mean;\n float unb = var * ((float)M / (float)(M - 1));\n running_var[c] = running_var[c] * (1.0f - momentum) + momentum * unb;\n }\n}\n\n__global__ void norm_kernel(float* __restrict__ x,\n const float* __restrict__ scale,\n const float* __restrict__ shift,\n int64_t total, int C, int HW) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (; idx < total; idx += stride) {\n int c = (int)((idx / HW) % C);\n x[idx] = x[idx] * scale[c] + shift[c];\n }\n}\n\n__global__ void eval_kernel(float* __restrict__ x,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n const float* __restrict__ running_mean,\n const float* __restrict__ running_var,\n int64_t total, int C, int HW, float eps) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (; idx < total; idx += stride) {\n int c = (int)((idx / HW) % C);\n float a = mish_func(x[idx]);\n float inv = rsqrtf(running_var[c] + eps);\n x[idx] = (a - running_mean[c]) * inv * weight[c] + bias[c];\n }\n}\n\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps) {\n CHECK_CUDA(x); CHECK_CUDA(weight); CHECK_CUDA(bias); CHECK_CUDA(running_mean); CHECK_CUDA(running_var);\n TORCH_CHECK(x.dtype() == torch::kFloat32, \"float32 only\");\n TORCH_CHECK(x.dim() == 4, \"x must be NCHW\");\n int N = (int)x.size(0), C = (int)x.size(1), H = (int)x.size(2), W = (int)x.size(3);\n int HW = H * W;\n int M = N * HW;\n int64_t total = x.numel();\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n const int threads = 256;\n if (training) {\n int parts = 16;\n auto opts = x.options();\n auto partial_sum = torch::empty({C, parts}, opts);\n auto partial_sq = torch::empty({C, parts}, opts);\n auto mean = torch::empty({C}, opts);\n auto scale = torch::empty({C}, opts);\n auto shift = torch::empty({C}, opts);\n dim3 grid1(C, parts);\n act_partial_kernel<256><<<grid1, threads, 0, stream>>>(x.data_ptr<float>(), partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), C, HW, M, parts);\n finalize_kernel<256><<<C, threads, 0, stream>>>(partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), running_mean.data_ptr<float>(), running_var.data_ptr<float>(), mean.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(), C, M, parts, (float)momentum, (float)eps);\n int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));\n norm_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(), total, C, HW);\n } else {\n int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));\n eval_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), running_mean.data_ptr<float>(), running_var.data_ptr<float>(), total, C, HW, (float)eps);\n }\n return x;\n}\n'''\n\n_ext = load_inline(name='mish_bn_ext_v1', cpp_sources=[cpp_src], cuda_sources=[cuda_src], functions=['mish_bn_forward'], extra_cuda_cflags=['-O3', '--use_fast_math'], extra_cflags=['-O3'], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, eps=1e-5, momentum=0.1):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv2d(in_channels, out_channels, kernel_size)\n self.bn = nn.BatchNorm2d(out_channels, eps=eps, momentum=momentum)\n def forward(self, x):\n y = self.conv(x)\n return _ext.mish_bn_forward(y, self.bn.weight, self.bn.bias, self.bn.running_mean, self.bn.running_var, self.training, float(self.bn.momentum), float(self.bn.eps))\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=7.16e-05 mean_abs_err=6.43e-06 max_rel_err=1.36e+07
turn 3 · 1 tool call(s) · 13.5s turn · 13.5s LLM · 11,217 chars (click to expand)
turn 313.5s turn · 13.5s LLM · 0.0s tools
reasoning
**Considering performance optimization** I need to focus on improving performance. Maybe I should consider submitting tasks more quickly? It’s worth profiling this to identify any bottlenecks. By analyzing how things are currently working, I can pinpoint areas where I can enhance speed or efficiency. I wonder if there are specific adjustments I can make to ensure everything runs smoother and faster. Let’s explore options for maximizing performance!
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\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps);\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.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\nstatic inline int div_up_int64(int64_t a, int b){ return (int)((a + b - 1) / b); }\n\n__device__ __forceinline__ float mish_func(float x) {\n float sp;\n if (x > 20.0f) sp = x;\n else sp = log1pf(expf(x));\n return x * tanhf(sp);\n}\n\ntemplate<int BLOCK>\n__global__ void act_partial_kernel(float* __restrict__ x,\n float* __restrict__ psum,\n float* __restrict__ psq,\n int C, int HW, int M, int parts) {\n int c = blockIdx.x;\n int p = blockIdx.y;\n int tid = threadIdx.x;\n int64_t start = ((int64_t)p * M) / parts;\n int64_t end = ((int64_t)(p + 1) * M) / parts;\n float sum = 0.0f;\n float sq = 0.0f;\n for (int64_t m = start + tid; m < end; m += BLOCK) {\n int n = (int)(m / HW);\n int hw = (int)(m - (int64_t)n * HW);\n int64_t idx = ((int64_t)n * C + c) * HW + hw;\n float v = x[idx];\n float a = mish_func(v);\n x[idx] = a;\n sum += a;\n sq += a * a;\n }\n __shared__ float ssum[BLOCK];\n __shared__ float ssq[BLOCK];\n ssum[tid] = sum;\n ssq[tid] = sq;\n __syncthreads();\n for (int stride = BLOCK/2; stride > 0; stride >>= 1) {\n if (tid < stride) {\n ssum[tid] += ssum[tid + stride];\n ssq[tid] += ssq[tid + stride];\n }\n __syncthreads();\n }\n if (tid == 0) {\n int off = c * parts + p;\n psum[off] = ssum[0];\n psq[off] = ssq[0];\n }\n}\n\ntemplate<int BLOCK>\n__global__ void finalize_kernel(const float* __restrict__ psum,\n const float* __restrict__ psq,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ running_mean,\n float* __restrict__ running_var,\n float* __restrict__ mean_out,\n float* __restrict__ scale_out,\n float* __restrict__ shift_out,\n int C, int M, int parts, float momentum, float eps) {\n int c = blockIdx.x;\n int tid = threadIdx.x;\n float sum = 0.0f, sq = 0.0f;\n for (int p = tid; p < parts; p += BLOCK) {\n int off = c * parts + p;\n sum += psum[off];\n sq += psq[off];\n }\n __shared__ float ssum[BLOCK];\n __shared__ float ssq[BLOCK];\n ssum[tid] = sum; ssq[tid] = sq;\n __syncthreads();\n for (int stride = BLOCK/2; stride > 0; stride >>= 1) {\n if (tid < stride) { ssum[tid] += ssum[tid+stride]; ssq[tid] += ssq[tid+stride]; }\n __syncthreads();\n }\n if (tid == 0) {\n float mean = ssum[0] / (float)M;\n float var = ssq[0] / (float)M - mean * mean;\n if (var < 0.0f) var = 0.0f;\n float inv = rsqrtf(var + eps);\n float w = weight[c];\n float b = bias[c];\n mean_out[c] = mean;\n scale_out[c] = w * inv;\n shift_out[c] = b - mean * w * inv;\n running_mean[c] = running_mean[c] * (1.0f - momentum) + momentum * mean;\n float unb = var * ((float)M / (float)(M - 1));\n running_var[c] = running_var[c] * (1.0f - momentum) + momentum * unb;\n }\n}\n\n__global__ void norm_kernel(float* __restrict__ x,\n const float* __restrict__ scale,\n const float* __restrict__ shift,\n int64_t total, int C, int HW) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (; idx < total; idx += stride) {\n int c = (int)((idx / HW) % C);\n x[idx] = x[idx] * scale[c] + shift[c];\n }\n}\n\n__global__ void eval_kernel(float* __restrict__ x,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n const float* __restrict__ running_mean,\n const float* __restrict__ running_var,\n int64_t total, int C, int HW, float eps) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (; idx < total; idx += stride) {\n int c = (int)((idx / HW) % C);\n float a = mish_func(x[idx]);\n float inv = rsqrtf(running_var[c] + eps);\n x[idx] = (a - running_mean[c]) * inv * weight[c] + bias[c];\n }\n}\n\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps) {\n CHECK_CUDA(x); CHECK_CUDA(weight); CHECK_CUDA(bias); CHECK_CUDA(running_mean); CHECK_CUDA(running_var);\n TORCH_CHECK(x.dtype() == torch::kFloat32, \"float32 only\");\n TORCH_CHECK(x.dim() == 4, \"x must be NCHW\");\n int N = (int)x.size(0), C = (int)x.size(1), H = (int)x.size(2), W = (int)x.size(3);\n int HW = H * W;\n int M = N * HW;\n int64_t total = x.numel();\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n const int threads = 256;\n if (training) {\n int parts = 16;\n auto opts = x.options();\n auto partial_sum = torch::empty({C, parts}, opts);\n auto partial_sq = torch::empty({C, parts}, opts);\n auto mean = torch::empty({C}, opts);\n auto scale = torch::empty({C}, opts);\n auto shift = torch::empty({C}, opts);\n dim3 grid1(C, parts);\n act_partial_kernel<256><<<grid1, threads, 0, stream>>>(x.data_ptr<float>(), partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), C, HW, M, parts);\n finalize_kernel<256><<<C, threads, 0, stream>>>(partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), running_mean.data_ptr<float>(), running_var.data_ptr<float>(), mean.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(), C, M, parts, (float)momentum, (float)eps);\n int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));\n norm_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(), total, C, HW);\n } else {\n int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));\n eval_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), running_mean.data_ptr<float>(), running_var.data_ptr<float>(), total, C, HW, (float)eps);\n }\n return x;\n}\n'''\n\n_ext = load_inline(name='mish_bn_ext_v1', cpp_sources=[cpp_src], cuda_sources=[cuda_src], functions=['mish_bn_forward'], extra_cuda_cflags=['-O3', '--use_fast_math'], extra_cflags=['-O3'], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, eps=1e-5, momentum=0.1):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv2d(in_channels, out_channels, kernel_size)\n self.bn = nn.BatchNorm2d(out_channels, eps=eps, momentum=momentum)\n def forward(self, x):\n y = self.conv(x)\n return _ext.mish_bn_forward(y, self.bn.weight, self.bn.bias, self.bn.running_mean, self.bn.running_var, self.training, float(self.bn.momentum), float(self.bn.eps))\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::conv2d 105070.0μs (25%) calls=1 #2: aten::convolution 105030.0μs (25%) calls=1 #3: aten::_convolution 104995.0μs (25%) calls=1 #4: aten::cudnn_convolution 94355.0μs (23%) calls=1 #5: aten::add_ 9771.0μs (2%) calls=1 ... +7 more kernels --- Timing --- GPU time: 2567.55 μs --- Memory Bandwidth --- DRAM BW: 9748.5/3350 GB/s (100.0%) read=4876.8 write=4871.8 GB/s Hit rates: L2=483.2% --- Compute Throughput --- Dominant pipe: tensor-core util=67.3% Pipe util: FMA=87.5%, Tensor=67.3% --- Roofline Analysis --- Ridge point (tensor-core): 295.22 FLOPs/byte Classification: MEMORY-BOUND --- Occupancy --- Achieved: 411.1% Eligible warps/cycle: 4.89 Launch: regs/thread=412, smem/blk=85248B, block=1536, grid=588034 --- Memory Access Quality --- Global ld coalescing: 32.40 sectors/req (32.4x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 9872.4% #################### short_scoreboard 979.2% #################### mio_throttle 98.1% ################### --- Optimization Hints --- -> 9872% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=32.4 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=32.4x (ideal=1.0) -> 32x wasted DRAM BW. Make per-warp accesses contiguous.
turn 4 · 1 tool call(s) · 25.7s turn · 25.7s LLM · 8,111 chars (click to expand)
turn 425.7s turn · 25.7s LLM · 0.0s tools
reasoning
**Considering compilation issues** It seems I might have an issue with `torch.utils.cpp_extension` due to potential name conflicts causing cache problems. I'm working on finding a unique solution. Then, I'll look into the trade-off between numerical precision and the `--use_fast_math` option, where correctness is close to 7e-5, which is promising. I'll also consider whether there should be support for accepting tuples for kernel sizes, and ensure that my convolution model properly handles dimensions. Everything seems to be on track! **Testing computation accuracy** I’m thinking this computation can be faster while still being accurate. If I use PyTorch to compute tanh(softplus), it might be exact, but I'm concerned about floating-point accuracy. Instead, I could try using expf. I know I need to test the correctness of this approach to ensure I’m only altering results slightly, hopefully within 1e-4. So, let’s give it a shot and see how it works out!
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 mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps);\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\nstatic inline int div_up_int64(int64_t a, int b){ return (int)((a + b - 1) / b); }\n__device__ __forceinline__ float mish_func(float x) {\n if (x > 20.0f) return x;\n float e = expf(x);\n // tanh(softplus(x)) = e*(e+2)/(e*e + 2*e + 2)\n return x * (e * (e + 2.0f)) / (e * e + 2.0f * e + 2.0f);\n}\ntemplate<int BLOCK>\n__global__ void act_partial_kernel(float* __restrict__ x, float* __restrict__ psum, float* __restrict__ psq, int C, int HW, int M, int parts) {\n int c = blockIdx.x, p = blockIdx.y, tid = threadIdx.x;\n int64_t start = ((int64_t)p * M) / parts, end = ((int64_t)(p + 1) * M) / parts;\n float sum = 0.0f, sq = 0.0f;\n for (int64_t m = start + tid; m < end; m += BLOCK) {\n int n = (int)(m / HW); int hw = (int)(m - (int64_t)n * HW);\n int64_t idx = ((int64_t)n * C + c) * HW + hw;\n float a = mish_func(x[idx]); x[idx] = a; sum += a; sq += a * a;\n }\n __shared__ float ssum[BLOCK], ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads();\n for (int stride=BLOCK/2; stride>0; stride>>=1){ if(tid<stride){ssum[tid]+=ssum[tid+stride]; ssq[tid]+=ssq[tid+stride];} __syncthreads(); }\n if(tid==0){ int off=c*parts+p; psum[off]=ssum[0]; psq[off]=ssq[0]; }\n}\ntemplate<int BLOCK>\n__global__ void finalize_kernel(const float* __restrict__ psum, const float* __restrict__ psq, const float* __restrict__ weight, const float* __restrict__ bias, float* __restrict__ running_mean, float* __restrict__ running_var, float* __restrict__ scale_out, float* __restrict__ shift_out, int C, int M, int parts, float momentum, float eps) {\n int c=blockIdx.x, tid=threadIdx.x; float sum=0.0f, sq=0.0f;\n for(int p=tid;p<parts;p+=BLOCK){ int off=c*parts+p; sum+=psum[off]; sq+=psq[off]; }\n __shared__ float ssum[BLOCK], ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads();\n for(int stride=BLOCK/2; stride>0; stride>>=1){ if(tid<stride){ssum[tid]+=ssum[tid+stride]; ssq[tid]+=ssq[tid+stride];} __syncthreads(); }\n if(tid==0){ float mean=ssum[0]/(float)M; float var=ssq[0]/(float)M-mean*mean; if(var<0.0f)var=0.0f; float inv=rsqrtf(var+eps); float w=weight[c]; scale_out[c]=w*inv; shift_out[c]=bias[c]-mean*w*inv; running_mean[c]=running_mean[c]*(1.0f-momentum)+momentum*mean; running_var[c]=running_var[c]*(1.0f-momentum)+momentum*(var*((float)M/(float)(M-1))); }\n}\n__global__ void norm_kernel(float* __restrict__ x, const float* __restrict__ scale, const float* __restrict__ shift, int64_t total, int C, int HW) {\n for(int64_t idx=(int64_t)blockIdx.x*blockDim.x+threadIdx.x, stride=(int64_t)blockDim.x*gridDim.x; idx<total; idx+=stride){ int c=(int)((idx/HW)%C); x[idx]=x[idx]*scale[c]+shift[c]; }\n}\n__global__ void eval_kernel(float* __restrict__ x, const float* __restrict__ weight, const float* __restrict__ bias, const float* __restrict__ running_mean, const float* __restrict__ running_var, int64_t total, int C, int HW, float eps) {\n for(int64_t idx=(int64_t)blockIdx.x*blockDim.x+threadIdx.x, stride=(int64_t)blockDim.x*gridDim.x; idx<total; idx+=stride){ int c=(int)((idx/HW)%C); float a=mish_func(x[idx]); x[idx]=(a-running_mean[c])*rsqrtf(running_var[c]+eps)*weight[c]+bias[c]; }\n}\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor running_mean, torch::Tensor running_var, bool training, double momentum, double eps) {\n CHECK_CUDA(x); int N=(int)x.size(0), C=(int)x.size(1), H=(int)x.size(2), W=(int)x.size(3); int HW=H*W, M=N*HW; int64_t total=x.numel(); cudaStream_t stream=at::cuda::getCurrentCUDAStream(); const int threads=256;\n if(training){ int parts=16; auto opts=x.options(); auto ps=torch::empty({C,parts},opts); auto pq=torch::empty({C,parts},opts); auto sc=torch::empty({C},opts); auto sh=torch::empty({C},opts); act_partial_kernel<256><<<dim3(C,parts),threads,0,stream>>>(x.data_ptr<float>(),ps.data_ptr<float>(),pq.data_ptr<float>(),C,HW,M,parts); finalize_kernel<256><<<C,threads,0,stream>>>(ps.data_ptr<float>(),pq.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),C,M,parts,(float)momentum,(float)eps); int blocks=(int)std::min<int64_t>(4096,div_up_int64(total,threads)); norm_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),total,C,HW); }\n else { int blocks=(int)std::min<int64_t>(4096,div_up_int64(total,threads)); eval_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),total,C,HW,(float)eps); }\n return x;\n}\n'''\n_ext = load_inline(name='mish_bn_ext_v2', cpp_sources=[cpp_src], cuda_sources=[cuda_src], functions=['mish_bn_forward'], extra_cuda_cflags=['-O3', '--use_fast_math'], extra_cflags=['-O3'], verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, eps=1e-5, momentum=0.1):\n super(ModelNew,self).__init__(); self.conv=nn.Conv2d(in_channels,out_channels,kernel_size); self.bn=nn.BatchNorm2d(out_channels,eps=eps,momentum=momentum)\n def forward(self,x):\n y=self.conv(x); return _ext.mish_bn_forward(y,self.bn.weight,self.bn.bias,self.bn.running_mean,self.bn.running_var,self.training,float(self.bn.momentum),float(self.bn.eps))\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=2.67e-05 mean_abs_err=2.19e-07 max_rel_err=9.54e+05
turn 5 · 1 tool call(s) · 12.4s turn · 12.4s LLM · 8,737 chars (click to expand)
turn 512.4s turn · 12.4s 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 mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps);\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\nstatic inline int div_up_int64(int64_t a, int b){ return (int)((a + b - 1) / b); }\n__device__ __forceinline__ float mish_func(float x) {\n if (x > 20.0f) return x;\n float e = expf(x);\n return x * (e * (e + 2.0f)) / (e * e + 2.0f * e + 2.0f);\n}\ntemplate<int BLOCK>\n__global__ void act_partial_kernel(float* __restrict__ x, float* __restrict__ psum, float* __restrict__ psq, int C, int HW, int M, int parts) {\n int c = blockIdx.x, p = blockIdx.y, tid = threadIdx.x;\n int64_t start = ((int64_t)p * M) / parts, end = ((int64_t)(p + 1) * M) / parts;\n float sum = 0.0f, sq = 0.0f;\n for (int64_t m = start + tid; m < end; m += BLOCK) {\n int n = (int)(m / HW); int hw = (int)(m - (int64_t)n * HW);\n int64_t idx = ((int64_t)n * C + c) * HW + hw;\n float a = mish_func(x[idx]); x[idx] = a; sum += a; sq += a * a;\n }\n __shared__ float ssum[BLOCK], ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads();\n for (int stride=BLOCK/2; stride>0; stride>>=1){ if(tid<stride){ssum[tid]+=ssum[tid+stride]; ssq[tid]+=ssq[tid+stride];} __syncthreads(); }\n if(tid==0){ int off=c*parts+p; psum[off]=ssum[0]; psq[off]=ssq[0]; }\n}\ntemplate<int BLOCK>\n__global__ void finalize_kernel(const float* __restrict__ psum, const float* __restrict__ psq, const float* __restrict__ weight, const float* __restrict__ bias, float* __restrict__ running_mean, float* __restrict__ running_var, float* __restrict__ scale_out, float* __restrict__ shift_out, int C, int M, int parts, float momentum, float eps) {\n int c=blockIdx.x, tid=threadIdx.x; float sum=0.0f, sq=0.0f;\n for(int p=tid;p<parts;p+=BLOCK){ int off=c*parts+p; sum+=psum[off]; sq+=psq[off]; }\n __shared__ float ssum[BLOCK], ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads();\n for(int stride=BLOCK/2; stride>0; stride>>=1){ if(tid<stride){ssum[tid]+=ssum[tid+stride]; ssq[tid]+=ssq[tid+stride];} __syncthreads(); }\n if(tid==0){ float mean=ssum[0]/(float)M; float var=ssq[0]/(float)M-mean*mean; if(var<0.0f)var=0.0f; float inv=rsqrtf(var+eps); float w=weight[c]; scale_out[c]=w*inv; shift_out[c]=bias[c]-mean*w*inv; running_mean[c]=running_mean[c]*(1.0f-momentum)+momentum*mean; running_var[c]=running_var[c]*(1.0f-momentum)+momentum*(var*((float)M/(float)(M-1))); }\n}\n__global__ void norm_kernel(float* __restrict__ x, const float* __restrict__ scale, const float* __restrict__ shift, int64_t total, int C, int HW) {\n for(int64_t idx=(int64_t)blockIdx.x*blockDim.x+threadIdx.x, stride=(int64_t)blockDim.x*gridDim.x; idx<total; idx+=stride){ int c=(int)((idx/HW)%C); x[idx]=x[idx]*scale[c]+shift[c]; }\n}\n__global__ void eval_kernel(float* __restrict__ x, const float* __restrict__ weight, const float* __restrict__ bias, const float* __restrict__ running_mean, const float* __restrict__ running_var, int64_t total, int C, int HW, float eps) {\n for(int64_t idx=(int64_t)blockIdx.x*blockDim.x+threadIdx.x, stride=(int64_t)blockDim.x*gridDim.x; idx<total; idx+=stride){ int c=(int)((idx/HW)%C); float a=mish_func(x[idx]); x[idx]=(a-running_mean[c])*rsqrtf(running_var[c]+eps)*weight[c]+bias[c]; }\n}\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor running_mean, torch::Tensor running_var, bool training, double momentum, double eps) {\n CHECK_CUDA(x); int N=(int)x.size(0), C=(int)x.size(1), H=(int)x.size(2), W=(int)x.size(3); int HW=H*W, M=N*HW; int64_t total=x.numel(); cudaStream_t stream=at::cuda::getCurrentCUDAStream(); const int threads=256;\n if(training){ int parts=16; auto opts=x.options(); auto ps=torch::empty({C,parts},opts); auto pq=torch::empty({C,parts},opts); auto sc=torch::empty({C},opts); auto sh=torch::empty({C},opts); act_partial_kernel<256><<<dim3(C,parts),threads,0,stream>>>(x.data_ptr<float>(),ps.data_ptr<float>(),pq.data_ptr<float>(),C,HW,M,parts); finalize_kernel<256><<<C,threads,0,stream>>>(ps.data_ptr<float>(),pq.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),C,M,parts,(float)momentum,(float)eps); int blocks=(int)std::min<int64_t>(4096,div_up_int64(total,threads)); norm_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),total,C,HW); }\n else { int blocks=(int)std::min<int64_t>(4096,div_up_int64(total,threads)); eval_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),total,C,HW,(float)eps); }\n return x;\n}\n'''\n_ext = load_inline(name='mish_bn_ext_v2', cpp_sources=[cpp_src], cuda_sources=[cuda_src], functions=['mish_bn_forward'], extra_cuda_cflags=['-O3', '--use_fast_math'], extra_cflags=['-O3'], verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, eps=1e-5, momentum=0.1):\n super(ModelNew,self).__init__(); self.conv=nn.Conv2d(in_channels,out_channels,kernel_size); self.bn=nn.BatchNorm2d(out_channels,eps=eps,momentum=momentum)\n def forward(self,x):\n y=self.conv(x); return _ext.mish_bn_forward(y,self.bn.weight,self.bn.bias,self.bn.running_mean,self.bn.running_var,self.training,float(self.bn.momentum),float(self.bn.eps))\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::conv2d 115642.0μs (25%) calls=1 #2: aten::convolution 115553.0μs (25%) calls=1 #3: aten::_convolution 115491.0μs (25%) calls=1 #4: aten::cudnn_convolution 104328.0μs (23%) calls=1 #5: aten::add_ 10308.0μs (2%) calls=1 ... +6 more kernels --- Timing --- GPU time: 2627.90 μs [↑60.4μs REGRESSED] --- Memory Bandwidth --- DRAM BW: 9581.5/3350 GB/s (100.0%) read=4793.7 write=4787.8 GB/s Hit rates: L2=480.9% --- Compute Throughput --- Dominant pipe: tensor-core util=65.9% [↓1.4% REGRESSED] Pipe util: FMA=78.8%, Tensor=65.9% --- Roofline Analysis --- Ridge point (tensor-core): 295.22 FLOPs/byte Classification: MEMORY-BOUND --- Occupancy --- Achieved: 383.1% [↓27.9% REGRESSED] Eligible warps/cycle: 4.47 Launch: regs/thread=416, smem/blk=85248B, block=1536, grid=588034 --- Memory Access Quality --- Global ld coalescing: 32.40 sectors/req (32.4x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 9855.8% #################### short_scoreboard 1020.8% #################### mio_throttle 97.6% ################### --- Optimization Hints --- -> 9856% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=32.4 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=32.4x (ideal=1.0) -> 32x wasted DRAM BW. Make per-warp accesses contiguous. --- Delta vs Previous Iteration --- GPU time: 2567.55→2627.90μs (↑60.35) REGRESSED Compute%: 67.29→65.91% (↓1.37) REGRESSED Occupancy: 411.10→383.15% (↓27.95) REGRESSED Eligible warps/cyc: 4.89→4.47 (↓0.42) REGRESSED L2 hit%: 483.21→480.90% (↓2.31) REGRESSED
turn 6 · 1 tool call(s) · 15.3s turn · 15.3s LLM · 6,706 chars (click to expand)
turn 615.3s turn · 15.3s 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 mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps);\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n__device__ __forceinline__ float mish_func(float x) { if (x > 20.0f) return x; float e = expf(x); return x * (e * (e + 2.0f)) / (e * e + 2.0f * e + 2.0f); }\ntemplate<int BLOCK>\n__global__ void act_partial_kernel(float* __restrict__ x, float* __restrict__ psum, float* __restrict__ psq, int C, int HW, int M, int parts) {\n int c=blockIdx.x,p=blockIdx.y,tid=threadIdx.x; int64_t start=((int64_t)p*M)/parts,end=((int64_t)(p+1)*M)/parts; float sum=0.f,sq=0.f;\n for(int64_t m=start+tid;m<end;m+=BLOCK){ int n=(int)(m/HW); int hw=(int)(m-(int64_t)n*HW); int64_t idx=((int64_t)n*C+c)*HW+hw; float a=mish_func(x[idx]); x[idx]=a; sum+=a; sq+=a*a; }\n __shared__ float ssum[BLOCK],ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads();\n for(int s=BLOCK/2;s>0;s>>=1){ if(tid<s){ssum[tid]+=ssum[tid+s]; ssq[tid]+=ssq[tid+s];} __syncthreads(); } if(tid==0){int off=c*parts+p; psum[off]=ssum[0]; psq[off]=ssq[0];}\n}\ntemplate<int BLOCK>\n__global__ void finalize_kernel(const float* __restrict__ psum,const float* __restrict__ psq,const float* __restrict__ weight,const float* __restrict__ bias,float* __restrict__ running_mean,float* __restrict__ running_var,float* __restrict__ scale_out,float* __restrict__ shift_out,int C,int M,int parts,float momentum,float eps){\n int c=blockIdx.x,tid=threadIdx.x; float sum=0.f,sq=0.f; for(int p=tid;p<parts;p+=BLOCK){int off=c*parts+p; sum+=psum[off]; sq+=psq[off];} __shared__ float ssum[BLOCK],ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads(); for(int s=BLOCK/2;s>0;s>>=1){if(tid<s){ssum[tid]+=ssum[tid+s]; ssq[tid]+=ssq[tid+s];} __syncthreads();} if(tid==0){float mean=ssum[0]/(float)M; float var=ssq[0]/(float)M-mean*mean; if(var<0.f)var=0.f; float inv=rsqrtf(var+eps); float w=weight[c]; scale_out[c]=w*inv; shift_out[c]=bias[c]-mean*w*inv; running_mean[c]=running_mean[c]*(1.f-momentum)+momentum*mean; running_var[c]=running_var[c]*(1.f-momentum)+momentum*(var*((float)M/(float)(M-1)));}}\ntemplate<int BLOCK>\n__global__ void norm_channel_kernel(float* __restrict__ x,const float* __restrict__ scale,const float* __restrict__ shift,int C,int HW,int M,int parts){\n int c=blockIdx.x,p=blockIdx.y,tid=threadIdx.x; float sc=scale[c], sh=shift[c]; int64_t start=((int64_t)p*M)/parts,end=((int64_t)(p+1)*M)/parts; for(int64_t m=start+tid;m<end;m+=BLOCK){int n=(int)(m/HW); int hw=(int)(m-(int64_t)n*HW); int64_t idx=((int64_t)n*C+c)*HW+hw; x[idx]=x[idx]*sc+sh;}}\ntemplate<int BLOCK>\n__global__ void eval_channel_kernel(float* __restrict__ x,const float* __restrict__ weight,const float* __restrict__ bias,const float* __restrict__ running_mean,const float* __restrict__ running_var,int C,int HW,int M,int parts,float eps){\n int c=blockIdx.x,p=blockIdx.y,tid=threadIdx.x; float sc=weight[c]*rsqrtf(running_var[c]+eps); float sh=bias[c]-running_mean[c]*sc; int64_t start=((int64_t)p*M)/parts,end=((int64_t)(p+1)*M)/parts; for(int64_t m=start+tid;m<end;m+=BLOCK){int n=(int)(m/HW); int hw=(int)(m-(int64_t)n*HW); int64_t idx=((int64_t)n*C+c)*HW+hw; float a=mish_func(x[idx]); x[idx]=a*sc+sh;}}\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor running_mean, torch::Tensor running_var, bool training, double momentum, double eps){\n CHECK_CUDA(x); int N=(int)x.size(0),C=(int)x.size(1),HW=(int)(x.size(2)*x.size(3)),M=N*HW; cudaStream_t stream=at::cuda::getCurrentCUDAStream(); const int threads=256; int parts=16; if(training){auto opts=x.options(); auto ps=torch::empty({C,parts},opts),pq=torch::empty({C,parts},opts),sc=torch::empty({C},opts),sh=torch::empty({C},opts); act_partial_kernel<256><<<dim3(C,parts),threads,0,stream>>>(x.data_ptr<float>(),ps.data_ptr<float>(),pq.data_ptr<float>(),C,HW,M,parts); finalize_kernel<256><<<C,threads,0,stream>>>(ps.data_ptr<float>(),pq.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),C,M,parts,(float)momentum,(float)eps); norm_channel_kernel<256><<<dim3(C,parts),threads,0,stream>>>(x.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),C,HW,M,parts);} else {eval_channel_kernel<256><<<dim3(C,parts),threads,0,stream>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),C,HW,M,parts,(float)eps);} return x;}\n'''\n_ext=load_inline(name='mish_bn_ext_v3',cpp_sources=[cpp_src],cuda_sources=[cuda_src],functions=['mish_bn_forward'],extra_cuda_cflags=['-O3','--use_fast_math'],extra_cflags=['-O3'],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,in_channels,out_channels,kernel_size,eps=1e-5,momentum=0.1):\n super(ModelNew,self).__init__(); self.conv=nn.Conv2d(in_channels,out_channels,kernel_size); self.bn=nn.BatchNorm2d(out_channels,eps=eps,momentum=momentum)\n def forward(self,x):\n y=self.conv(x); return _ext.mish_bn_forward(y,self.bn.weight,self.bn.bias,self.bn.running_mean,self.bn.running_var,self.training,float(self.bn.momentum),float(self.bn.eps))\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=2.67e-05 mean_abs_err=2.19e-07 max_rel_err=9.54e+05
turn 7 · 1 tool call(s) · 13.4s turn · 13.4s LLM · 8,498 chars (click to expand)
turn 713.4s turn · 13.4s 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 mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps);\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n__device__ __forceinline__ float mish_func(float x) { if (x > 20.0f) return x; float e = expf(x); return x * (e * (e + 2.0f)) / (e * e + 2.0f * e + 2.0f); }\ntemplate<int BLOCK>\n__global__ void act_partial_kernel(float* __restrict__ x, float* __restrict__ psum, float* __restrict__ psq, int C, int HW, int M, int parts) {\n int c=blockIdx.x,p=blockIdx.y,tid=threadIdx.x; int64_t start=((int64_t)p*M)/parts,end=((int64_t)(p+1)*M)/parts; float sum=0.f,sq=0.f;\n for(int64_t m=start+tid;m<end;m+=BLOCK){ int n=(int)(m/HW); int hw=(int)(m-(int64_t)n*HW); int64_t idx=((int64_t)n*C+c)*HW+hw; float a=mish_func(x[idx]); x[idx]=a; sum+=a; sq+=a*a; }\n __shared__ float ssum[BLOCK],ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads();\n for(int s=BLOCK/2;s>0;s>>=1){ if(tid<s){ssum[tid]+=ssum[tid+s]; ssq[tid]+=ssq[tid+s];} __syncthreads(); } if(tid==0){int off=c*parts+p; psum[off]=ssum[0]; psq[off]=ssq[0];}\n}\ntemplate<int BLOCK>\n__global__ void finalize_kernel(const float* __restrict__ psum,const float* __restrict__ psq,const float* __restrict__ weight,const float* __restrict__ bias,float* __restrict__ running_mean,float* __restrict__ running_var,float* __restrict__ scale_out,float* __restrict__ shift_out,int C,int M,int parts,float momentum,float eps){\n int c=blockIdx.x,tid=threadIdx.x; float sum=0.f,sq=0.f; for(int p=tid;p<parts;p+=BLOCK){int off=c*parts+p; sum+=psum[off]; sq+=psq[off];} __shared__ float ssum[BLOCK],ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads(); for(int s=BLOCK/2;s>0;s>>=1){if(tid<s){ssum[tid]+=ssum[tid+s]; ssq[tid]+=ssq[tid+s];} __syncthreads();} if(tid==0){float mean=ssum[0]/(float)M; float var=ssq[0]/(float)M-mean*mean; if(var<0.f)var=0.f; float inv=rsqrtf(var+eps); float w=weight[c]; scale_out[c]=w*inv; shift_out[c]=bias[c]-mean*w*inv; running_mean[c]=running_mean[c]*(1.f-momentum)+momentum*mean; running_var[c]=running_var[c]*(1.f-momentum)+momentum*(var*((float)M/(float)(M-1)));}}\ntemplate<int BLOCK>\n__global__ void norm_channel_kernel(float* __restrict__ x,const float* __restrict__ scale,const float* __restrict__ shift,int C,int HW,int M,int parts){\n int c=blockIdx.x,p=blockIdx.y,tid=threadIdx.x; float sc=scale[c], sh=shift[c]; int64_t start=((int64_t)p*M)/parts,end=((int64_t)(p+1)*M)/parts; for(int64_t m=start+tid;m<end;m+=BLOCK){int n=(int)(m/HW); int hw=(int)(m-(int64_t)n*HW); int64_t idx=((int64_t)n*C+c)*HW+hw; x[idx]=x[idx]*sc+sh;}}\ntemplate<int BLOCK>\n__global__ void eval_channel_kernel(float* __restrict__ x,const float* __restrict__ weight,const float* __restrict__ bias,const float* __restrict__ running_mean,const float* __restrict__ running_var,int C,int HW,int M,int parts,float eps){\n int c=blockIdx.x,p=blockIdx.y,tid=threadIdx.x; float sc=weight[c]*rsqrtf(running_var[c]+eps); float sh=bias[c]-running_mean[c]*sc; int64_t start=((int64_t)p*M)/parts,end=((int64_t)(p+1)*M)/parts; for(int64_t m=start+tid;m<end;m+=BLOCK){int n=(int)(m/HW); int hw=(int)(m-(int64_t)n*HW); int64_t idx=((int64_t)n*C+c)*HW+hw; float a=mish_func(x[idx]); x[idx]=a*sc+sh;}}\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor running_mean, torch::Tensor running_var, bool training, double momentum, double eps){\n CHECK_CUDA(x); int N=(int)x.size(0),C=(int)x.size(1),HW=(int)(x.size(2)*x.size(3)),M=N*HW; cudaStream_t stream=at::cuda::getCurrentCUDAStream(); const int threads=256; int parts=16; if(training){auto opts=x.options(); auto ps=torch::empty({C,parts},opts),pq=torch::empty({C,parts},opts),sc=torch::empty({C},opts),sh=torch::empty({C},opts); act_partial_kernel<256><<<dim3(C,parts),threads,0,stream>>>(x.data_ptr<float>(),ps.data_ptr<float>(),pq.data_ptr<float>(),C,HW,M,parts); finalize_kernel<256><<<C,threads,0,stream>>>(ps.data_ptr<float>(),pq.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),C,M,parts,(float)momentum,(float)eps); norm_channel_kernel<256><<<dim3(C,parts),threads,0,stream>>>(x.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),C,HW,M,parts);} else {eval_channel_kernel<256><<<dim3(C,parts),threads,0,stream>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),C,HW,M,parts,(float)eps);} return x;}\n'''\n_ext=load_inline(name='mish_bn_ext_v3',cpp_sources=[cpp_src],cuda_sources=[cuda_src],functions=['mish_bn_forward'],extra_cuda_cflags=['-O3','--use_fast_math'],extra_cflags=['-O3'],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,in_channels,out_channels,kernel_size,eps=1e-5,momentum=0.1):\n super(ModelNew,self).__init__(); self.conv=nn.Conv2d(in_channels,out_channels,kernel_size); self.bn=nn.BatchNorm2d(out_channels,eps=eps,momentum=momentum)\n def forward(self,x):\n y=self.conv(x); return _ext.mish_bn_forward(y,self.bn.weight,self.bn.bias,self.bn.running_mean,self.bn.running_var,self.training,float(self.bn.momentum),float(self.bn.eps))\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::conv2d 107019.0μs (25%) calls=1 #2: aten::convolution 106980.0μs (25%) calls=1 #3: aten::_convolution 106949.0μs (25%) calls=1 #4: aten::cudnn_convolution 95884.0μs (22%) calls=1 #5: aten::add_ 10292.0μs (2%) calls=1 ... +6 more kernels --- Timing --- GPU time: 2820.32 μs [↑192.4μs REGRESSED] --- Memory Bandwidth --- DRAM BW: 9031.2/3350 GB/s (100.0%) read=4507.7 write=4523.6 GB/s Hit rates: L2=490.0% --- Compute Throughput --- Dominant pipe: tensor-core util=65.1% [↓0.8% REGRESSED] Pipe util: FMA=73.3%, Tensor=65.1% --- Roofline Analysis --- Ridge point (tensor-core): 295.22 FLOPs/byte Classification: MEMORY-BOUND --- Occupancy --- Achieved: 354.6% [↓28.6% REGRESSED] Eligible warps/cycle: 3.89 Launch: regs/thread=418, smem/blk=85248B, block=1536, grid=585986 --- Memory Access Quality --- Global ld coalescing: 34.93 sectors/req (34.9x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 10706.7% #################### short_scoreboard 975.8% #################### mio_throttle 87.8% ################# --- Optimization Hints --- -> 10707% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=34.9 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=34.9x (ideal=1.0) -> 35x wasted DRAM BW. Make per-warp accesses contiguous. --- Delta vs Previous Iteration --- GPU time: 2627.90→2820.32μs (↑192.42) REGRESSED Compute%: 65.91→65.10% (↓0.81) REGRESSED Occupancy: 383.15→354.58% (↓28.56) REGRESSED Eligible warps/cyc: 4.47→3.89 (↓0.58) REGRESSED Ld sectors/req: 32.40→34.93 (↑2.53) REGRESSED L2 hit%: 480.90→490.03% (↑9.13) ok
turn 8 · 1 tool call(s) · 13.6s turn · 13.6s LLM · 6,442 chars (click to expand)
turn 813.6s turn · 13.6s 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 mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor running_mean, torch::Tensor running_var, bool training, double momentum, double eps);\n'''\ncuda_src=r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\nstatic inline int div_up_int64(int64_t a,int b){return (int)((a+b-1)/b);} \n__device__ __forceinline__ float mish_func(float x){if(x>20.f)return x; float e=expf(x); return x*(e*(e+2.f))/(e*e+2.f*e+2.f);} \ntemplate<int BLOCK> __global__ void act_partial_kernel(float* __restrict__ x,float* __restrict__ psum,float* __restrict__ psq,int C,int HW,int M,int parts){int c=blockIdx.x,p=blockIdx.y,tid=threadIdx.x; int64_t start=((int64_t)p*M)/parts,end=((int64_t)(p+1)*M)/parts; float sum=0.f,sq=0.f; for(int64_t m=start+tid;m<end;m+=BLOCK){int n=(int)(m/HW); int hw=(int)(m-(int64_t)n*HW); int64_t idx=((int64_t)n*C+c)*HW+hw; float a=mish_func(x[idx]); x[idx]=a; sum+=a; sq+=a*a;} __shared__ float ssum[BLOCK],ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads(); for(int s=BLOCK/2;s>0;s>>=1){if(tid<s){ssum[tid]+=ssum[tid+s]; ssq[tid]+=ssq[tid+s];} __syncthreads();} if(tid==0){int off=c*parts+p; psum[off]=ssum[0]; psq[off]=ssq[0];}}\ntemplate<int BLOCK> __global__ void finalize_kernel(const float* __restrict__ psum,const float* __restrict__ psq,const float* __restrict__ weight,const float* __restrict__ bias,float* __restrict__ running_mean,float* __restrict__ running_var,float* __restrict__ scale_out,float* __restrict__ shift_out,int C,int M,int parts,float momentum,float eps){int c=blockIdx.x,tid=threadIdx.x; float sum=0.f,sq=0.f; for(int p=tid;p<parts;p+=BLOCK){int off=c*parts+p; sum+=psum[off]; sq+=psq[off];} __shared__ float ssum[BLOCK],ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads(); for(int s=BLOCK/2;s>0;s>>=1){if(tid<s){ssum[tid]+=ssum[tid+s]; ssq[tid]+=ssq[tid+s];} __syncthreads();} if(tid==0){float mean=ssum[0]/(float)M; float var=ssq[0]/(float)M-mean*mean; if(var<0.f)var=0.f; float inv=rsqrtf(var+eps); float w=weight[c]; scale_out[c]=w*inv; shift_out[c]=bias[c]-mean*w*inv; running_mean[c]=running_mean[c]*(1.f-momentum)+momentum*mean; running_var[c]=running_var[c]*(1.f-momentum)+momentum*(var*((float)M/(float)(M-1)));}}\n__global__ void norm_kernel(float* __restrict__ x,const float* __restrict__ scale,const float* __restrict__ shift,int64_t total,int C,int HW){for(int64_t idx=(int64_t)blockIdx.x*blockDim.x+threadIdx.x,stride=(int64_t)blockDim.x*gridDim.x;idx<total;idx+=stride){int c=(int)((idx/HW)%C); x[idx]=x[idx]*scale[c]+shift[c];}}\n__global__ void eval_kernel(float* __restrict__ x,const float* __restrict__ weight,const float* __restrict__ bias,const float* __restrict__ running_mean,const float* __restrict__ running_var,int64_t total,int C,int HW,float eps){for(int64_t idx=(int64_t)blockIdx.x*blockDim.x+threadIdx.x,stride=(int64_t)blockDim.x*gridDim.x;idx<total;idx+=stride){int c=(int)((idx/HW)%C); float a=mish_func(x[idx]); x[idx]=(a-running_mean[c])*rsqrtf(running_var[c]+eps)*weight[c]+bias[c];}}\ntorch::Tensor mish_bn_forward(torch::Tensor x,torch::Tensor weight,torch::Tensor bias,torch::Tensor running_mean,torch::Tensor running_var,bool training,double momentum,double eps){CHECK_CUDA(x); int N=(int)x.size(0),C=(int)x.size(1),HW=(int)(x.size(2)*x.size(3)),M=N*HW; int64_t total=x.numel(); cudaStream_t stream=at::cuda::getCurrentCUDAStream(); const int threads=256; if(training){int parts=32; auto opts=x.options(); auto ps=torch::empty({C,parts},opts),pq=torch::empty({C,parts},opts),sc=torch::empty({C},opts),sh=torch::empty({C},opts); act_partial_kernel<256><<<dim3(C,parts),threads,0,stream>>>(x.data_ptr<float>(),ps.data_ptr<float>(),pq.data_ptr<float>(),C,HW,M,parts); finalize_kernel<256><<<C,threads,0,stream>>>(ps.data_ptr<float>(),pq.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),C,M,parts,(float)momentum,(float)eps); int blocks=(int)std::min<int64_t>(4096,div_up_int64(total,threads)); norm_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),total,C,HW);} else {int blocks=(int)std::min<int64_t>(4096,div_up_int64(total,threads)); eval_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),total,C,HW,(float)eps);} return x;}\n'''\n_ext=load_inline(name='mish_bn_ext_v4p32',cpp_sources=[cpp_src],cuda_sources=[cuda_src],functions=['mish_bn_forward'],extra_cuda_cflags=['-O3','--use_fast_math'],extra_cflags=['-O3'],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,in_channels,out_channels,kernel_size,eps=1e-5,momentum=0.1):\n super(ModelNew,self).__init__(); self.conv=nn.Conv2d(in_channels,out_channels,kernel_size); self.bn=nn.BatchNorm2d(out_channels,eps=eps,momentum=momentum)\n def forward(self,x):\n y=self.conv(x); return _ext.mish_bn_forward(y,self.bn.weight,self.bn.bias,self.bn.running_mean,self.bn.running_var,self.training,float(self.bn.momentum),float(self.bn.eps))\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=2.77e-05 mean_abs_err=2.23e-07 max_rel_err=9.54e+05
turn 9 · 1 tool call(s) · 10.1s turn · 10.1s LLM · 8,187 chars (click to expand)
turn 910.1s turn · 10.1s 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\ncpp_src=r'''\n#include <torch/extension.h>\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, torch::Tensor running_mean, torch::Tensor running_var, bool training, double momentum, double eps);\n'''\ncuda_src=r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#define CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\nstatic inline int div_up_int64(int64_t a,int b){return (int)((a+b-1)/b);} \n__device__ __forceinline__ float mish_func(float x){if(x>20.f)return x; float e=expf(x); return x*(e*(e+2.f))/(e*e+2.f*e+2.f);} \ntemplate<int BLOCK> __global__ void act_partial_kernel(float* __restrict__ x,float* __restrict__ psum,float* __restrict__ psq,int C,int HW,int M,int parts){int c=blockIdx.x,p=blockIdx.y,tid=threadIdx.x; int64_t start=((int64_t)p*M)/parts,end=((int64_t)(p+1)*M)/parts; float sum=0.f,sq=0.f; for(int64_t m=start+tid;m<end;m+=BLOCK){int n=(int)(m/HW); int hw=(int)(m-(int64_t)n*HW); int64_t idx=((int64_t)n*C+c)*HW+hw; float a=mish_func(x[idx]); x[idx]=a; sum+=a; sq+=a*a;} __shared__ float ssum[BLOCK],ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads(); for(int s=BLOCK/2;s>0;s>>=1){if(tid<s){ssum[tid]+=ssum[tid+s]; ssq[tid]+=ssq[tid+s];} __syncthreads();} if(tid==0){int off=c*parts+p; psum[off]=ssum[0]; psq[off]=ssq[0];}}\ntemplate<int BLOCK> __global__ void finalize_kernel(const float* __restrict__ psum,const float* __restrict__ psq,const float* __restrict__ weight,const float* __restrict__ bias,float* __restrict__ running_mean,float* __restrict__ running_var,float* __restrict__ scale_out,float* __restrict__ shift_out,int C,int M,int parts,float momentum,float eps){int c=blockIdx.x,tid=threadIdx.x; float sum=0.f,sq=0.f; for(int p=tid;p<parts;p+=BLOCK){int off=c*parts+p; sum+=psum[off]; sq+=psq[off];} __shared__ float ssum[BLOCK],ssq[BLOCK]; ssum[tid]=sum; ssq[tid]=sq; __syncthreads(); for(int s=BLOCK/2;s>0;s>>=1){if(tid<s){ssum[tid]+=ssum[tid+s]; ssq[tid]+=ssq[tid+s];} __syncthreads();} if(tid==0){float mean=ssum[0]/(float)M; float var=ssq[0]/(float)M-mean*mean; if(var<0.f)var=0.f; float inv=rsqrtf(var+eps); float w=weight[c]; scale_out[c]=w*inv; shift_out[c]=bias[c]-mean*w*inv; running_mean[c]=running_mean[c]*(1.f-momentum)+momentum*mean; running_var[c]=running_var[c]*(1.f-momentum)+momentum*(var*((float)M/(float)(M-1)));}}\n__global__ void norm_kernel(float* __restrict__ x,const float* __restrict__ scale,const float* __restrict__ shift,int64_t total,int C,int HW){for(int64_t idx=(int64_t)blockIdx.x*blockDim.x+threadIdx.x,stride=(int64_t)blockDim.x*gridDim.x;idx<total;idx+=stride){int c=(int)((idx/HW)%C); x[idx]=x[idx]*scale[c]+shift[c];}}\n__global__ void eval_kernel(float* __restrict__ x,const float* __restrict__ weight,const float* __restrict__ bias,const float* __restrict__ running_mean,const float* __restrict__ running_var,int64_t total,int C,int HW,float eps){for(int64_t idx=(int64_t)blockIdx.x*blockDim.x+threadIdx.x,stride=(int64_t)blockDim.x*gridDim.x;idx<total;idx+=stride){int c=(int)((idx/HW)%C); float a=mish_func(x[idx]); x[idx]=(a-running_mean[c])*rsqrtf(running_var[c]+eps)*weight[c]+bias[c];}}\ntorch::Tensor mish_bn_forward(torch::Tensor x,torch::Tensor weight,torch::Tensor bias,torch::Tensor running_mean,torch::Tensor running_var,bool training,double momentum,double eps){CHECK_CUDA(x); int N=(int)x.size(0),C=(int)x.size(1),HW=(int)(x.size(2)*x.size(3)),M=N*HW; int64_t total=x.numel(); cudaStream_t stream=at::cuda::getCurrentCUDAStream(); const int threads=256; if(training){int parts=32; auto opts=x.options(); auto ps=torch::empty({C,parts},opts),pq=torch::empty({C,parts},opts),sc=torch::empty({C},opts),sh=torch::empty({C},opts); act_partial_kernel<256><<<dim3(C,parts),threads,0,stream>>>(x.data_ptr<float>(),ps.data_ptr<float>(),pq.data_ptr<float>(),C,HW,M,parts); finalize_kernel<256><<<C,threads,0,stream>>>(ps.data_ptr<float>(),pq.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),C,M,parts,(float)momentum,(float)eps); int blocks=(int)std::min<int64_t>(4096,div_up_int64(total,threads)); norm_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),sc.data_ptr<float>(),sh.data_ptr<float>(),total,C,HW);} else {int blocks=(int)std::min<int64_t>(4096,div_up_int64(total,threads)); eval_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),running_mean.data_ptr<float>(),running_var.data_ptr<float>(),total,C,HW,(float)eps);} return x;}\n'''\n_ext=load_inline(name='mish_bn_ext_v4p32',cpp_sources=[cpp_src],cuda_sources=[cuda_src],functions=['mish_bn_forward'],extra_cuda_cflags=['-O3','--use_fast_math'],extra_cflags=['-O3'],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,in_channels,out_channels,kernel_size,eps=1e-5,momentum=0.1):\n super(ModelNew,self).__init__(); self.conv=nn.Conv2d(in_channels,out_channels,kernel_size); self.bn=nn.BatchNorm2d(out_channels,eps=eps,momentum=momentum)\n def forward(self,x):\n y=self.conv(x); return _ext.mish_bn_forward(y,self.bn.weight,self.bn.bias,self.bn.running_mean,self.bn.running_var,self.training,float(self.bn.momentum),float(self.bn.eps))\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::conv2d 109307.0μs (25%) calls=1 #2: aten::convolution 109260.0μs (25%) calls=1 #3: aten::_convolution 109224.0μs (25%) calls=1 #4: aten::cudnn_convolution 98091.0μs (22%) calls=1 #5: aten::add_ 10146.0μs (2%) calls=1 ... +6 more kernels --- Timing --- GPU time: 2652.03 μs [↓168.3μs ok] --- Memory Bandwidth --- DRAM BW: 9524.1/3350 GB/s (100.0%) read=4767.7 write=4756.4 GB/s Hit rates: L2=479.7% --- Compute Throughput --- Dominant pipe: tensor-core util=66.0% [↑0.9% ok] Pipe util: FMA=78.7%, Tensor=66.0% --- Roofline Analysis --- Ridge point (tensor-core): 295.22 FLOPs/byte Classification: MEMORY-BOUND --- Occupancy --- Achieved: 387.3% [↑32.7% ok] Eligible warps/cycle: 4.45 Launch: regs/thread=416, smem/blk=85248B, block=1536, grid=590082 --- Memory Access Quality --- Global ld coalescing: 33.06 sectors/req (33.1x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 9984.3% #################### short_scoreboard 1021.6% #################### mio_throttle 99.3% ################### --- Optimization Hints --- -> 9984% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=33.1 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=33.1x (ideal=1.0) -> 33x wasted DRAM BW. Make per-warp accesses contiguous. --- Delta vs Previous Iteration --- GPU time: 2820.32→2652.03μs (↓168.29) ok Compute%: 65.10→65.99% (↑0.89) ok Occupancy: 354.58→387.28% (↑32.70) ok Eligible warps/cyc: 3.89→4.45 (↑0.56) ok Ld sectors/req: 34.93→33.06 (↓1.87) ok L2 hit%: 490.03→479.66% (↓10.37) REGRESSED
turn 10 · 1 tool call(s) · 15.9s turn · 15.9s LLM · 9,011 chars (click to expand)
turn 1015.9s turn · 15.9s LLM · 0.0s tools
call → static_check
callstatic_check { "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\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps);\n'''\n\ncuda_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 CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n\nstatic inline int div_up_int64(int64_t a, int b) {\n return (int)((a + b - 1) / b);\n}\n\n__device__ __forceinline__ float mish_func(float x) {\n if (x > 20.0f) return x;\n float e = expf(x);\n return x * (e * (e + 2.0f)) / (e * e + 2.0f * e + 2.0f);\n}\n\ntemplate<int BLOCK>\n__global__ void act_partial_kernel(float* __restrict__ x,\n float* __restrict__ psum,\n float* __restrict__ psq,\n int C, int HW, int M, int parts) {\n int c = blockIdx.x;\n int p = blockIdx.y;\n int tid = threadIdx.x;\n int64_t start = ((int64_t)p * M) / parts;\n int64_t end = ((int64_t)(p + 1) * M) / parts;\n float sum = 0.0f, sq = 0.0f;\n for (int64_t m = start + tid; m < end; m += BLOCK) {\n int n = (int)(m / HW);\n int hw = (int)(m - (int64_t)n * HW);\n int64_t idx = ((int64_t)n * C + c) * HW + hw;\n float a = mish_func(x[idx]);\n x[idx] = a;\n sum += a;\n sq += a * a;\n }\n __shared__ float ssum[BLOCK];\n __shared__ float ssq[BLOCK];\n ssum[tid] = sum;\n ssq[tid] = sq;\n __syncthreads();\n for (int stride = BLOCK / 2; stride > 0; stride >>= 1) {\n if (tid < stride) {\n ssum[tid] += ssum[tid + stride];\n ssq[tid] += ssq[tid + stride];\n }\n __syncthreads();\n }\n if (tid == 0) {\n int off = c * parts + p;\n psum[off] = ssum[0];\n psq[off] = ssq[0];\n }\n}\n\ntemplate<int BLOCK>\n__global__ void finalize_kernel(const float* __restrict__ psum,\n const float* __restrict__ psq,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ running_mean,\n float* __restrict__ running_var,\n float* __restrict__ scale_out,\n float* __restrict__ shift_out,\n int C, int M, int parts, float momentum, float eps) {\n int c = blockIdx.x;\n int tid = threadIdx.x;\n float sum = 0.0f, sq = 0.0f;\n for (int p = tid; p < parts; p += BLOCK) {\n int off = c * parts + p;\n sum += psum[off];\n sq += psq[off];\n }\n __shared__ float ssum[BLOCK];\n __shared__ float ssq[BLOCK];\n ssum[tid] = sum;\n ssq[tid] = sq;\n __syncthreads();\n for (int stride = BLOCK / 2; stride > 0; stride >>= 1) {\n if (tid < stride) {\n ssum[tid] += ssum[tid + stride];\n ssq[tid] += ssq[tid + stride];\n }\n __syncthreads();\n }\n if (tid == 0) {\n float mean = ssum[0] / (float)M;\n float var = ssq[0] / (float)M - mean * mean;\n if (var < 0.0f) var = 0.0f;\n float inv = rsqrtf(var + eps);\n float w = weight[c];\n scale_out[c] = w * inv;\n shift_out[c] = bias[c] - mean * w * inv;\n running_mean[c] = running_mean[c] * (1.0f - momentum) + momentum * mean;\n running_var[c] = running_var[c] * (1.0f - momentum) + momentum * (var * ((float)M / (float)(M - 1)));\n }\n}\n\n__global__ void norm_kernel(float* __restrict__ x,\n const float* __restrict__ scale,\n const float* __restrict__ shift,\n int64_t total, int C, int HW) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (; idx < total; idx += stride) {\n int c = (int)((idx / HW) % C);\n x[idx] = x[idx] * scale[c] + shift[c];\n }\n}\n\n__global__ void eval_kernel(float* __restrict__ x,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n const float* __restrict__ running_mean,\n const float* __restrict__ running_var,\n int64_t total, int C, int HW, float eps) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (; idx < total; idx += stride) {\n int c = (int)((idx / HW) % C);\n float a = mish_func(x[idx]);\n x[idx] = (a - running_mean[c]) * rsqrtf(running_var[c] + eps) * weight[c] + bias[c];\n }\n}\n\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps) {\n CHECK_CUDA(x);\n CHECK_CUDA(weight);\n CHECK_CUDA(bias);\n CHECK_CUDA(running_mean);\n CHECK_CUDA(running_var);\n TORCH_CHECK(x.dtype() == torch::kFloat32, \"float32 only\");\n int N = (int)x.size(0);\n int C = (int)x.size(1);\n int HW = (int)(x.size(2) * x.size(3));\n int M = N * HW;\n int64_t total = x.numel();\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n const int threads = 256;\n const int parts = 16;\n if (training) {\n auto opts = x.options();\n auto partial_sum = torch::empty({C, parts}, opts);\n auto partial_sq = torch::empty({C, parts}, opts);\n auto scale = torch::empty({C}, opts);\n auto shift = torch::empty({C}, opts);\n act_partial_kernel<256><<<dim3(C, parts), threads, 0, stream>>>(\n x.data_ptr<float>(), partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), C, HW, M, parts);\n finalize_kernel<256><<<C, threads, 0, stream>>>(\n partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(),\n running_mean.data_ptr<float>(), running_var.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(),\n C, M, parts, (float)momentum, (float)eps);\n int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));\n norm_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(), total, C, HW);\n } else {\n int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));\n eval_kernel<<<blocks, threads, 0, stream>>>(\n x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), running_mean.data_ptr<float>(),\n running_var.data_ptr<float>(), total, C, HW, (float)eps);\n }\n return x;\n}\n'''\n\n_ext = load_inline(\n name='mish_bn_final_ext',\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=['mish_bn_forward'],\n extra_cuda_cflags=['-O3', '--use_fast_math'],\n extra_cflags=['-O3'],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, eps=1e-5, momentum=0.1):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv2d(in_channels, out_channels, kernel_size)\n self.bn = nn.BatchNorm2d(out_channels, eps=eps, momentum=momentum)\n\n def forward(self, x):\n y = self.conv(x)\n return _ext.mish_bn_forward(\n y, self.bn.weight, self.bn.bias, self.bn.running_mean, self.bn.running_var,\n self.training, float(self.bn.momentum), float(self.bn.eps)\n )\n" }
result ← static_check (ok)
okstatic_check static_check PASSED: no violations or warnings detected.
turn 11 · FINAL · 1 tool call(s) · 14.2s turn · 14.2s LLM · 9,371 chars (click to expand)
turn 1114.2s turn · 14.2s 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>\n\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps);\n'''\n\ncuda_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 CHECK_CUDA(x) TORCH_CHECK(x.is_cuda(), #x \" must be a CUDA tensor\")\n\nstatic inline int div_up_int64(int64_t a, int b) {\n return (int)((a + b - 1) / b);\n}\n\n__device__ __forceinline__ float mish_func(float x) {\n if (x > 20.0f) return x;\n float e = expf(x);\n return x * (e * (e + 2.0f)) / (e * e + 2.0f * e + 2.0f);\n}\n\ntemplate<int BLOCK>\n__global__ void act_partial_kernel(float* __restrict__ x,\n float* __restrict__ psum,\n float* __restrict__ psq,\n int C, int HW, int M, int parts) {\n int c = blockIdx.x;\n int p = blockIdx.y;\n int tid = threadIdx.x;\n int64_t start = ((int64_t)p * M) / parts;\n int64_t end = ((int64_t)(p + 1) * M) / parts;\n float sum = 0.0f, sq = 0.0f;\n for (int64_t m = start + tid; m < end; m += BLOCK) {\n int n = (int)(m / HW);\n int hw = (int)(m - (int64_t)n * HW);\n int64_t idx = ((int64_t)n * C + c) * HW + hw;\n float a = mish_func(x[idx]);\n x[idx] = a;\n sum += a;\n sq += a * a;\n }\n __shared__ float ssum[BLOCK];\n __shared__ float ssq[BLOCK];\n ssum[tid] = sum;\n ssq[tid] = sq;\n __syncthreads();\n for (int stride = BLOCK / 2; stride > 0; stride >>= 1) {\n if (tid < stride) {\n ssum[tid] += ssum[tid + stride];\n ssq[tid] += ssq[tid + stride];\n }\n __syncthreads();\n }\n if (tid == 0) {\n int off = c * parts + p;\n psum[off] = ssum[0];\n psq[off] = ssq[0];\n }\n}\n\ntemplate<int BLOCK>\n__global__ void finalize_kernel(const float* __restrict__ psum,\n const float* __restrict__ psq,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ running_mean,\n float* __restrict__ running_var,\n float* __restrict__ scale_out,\n float* __restrict__ shift_out,\n int C, int M, int parts, float momentum, float eps) {\n int c = blockIdx.x;\n int tid = threadIdx.x;\n float sum = 0.0f, sq = 0.0f;\n for (int p = tid; p < parts; p += BLOCK) {\n int off = c * parts + p;\n sum += psum[off];\n sq += psq[off];\n }\n __shared__ float ssum[BLOCK];\n __shared__ float ssq[BLOCK];\n ssum[tid] = sum;\n ssq[tid] = sq;\n __syncthreads();\n for (int stride = BLOCK / 2; stride > 0; stride >>= 1) {\n if (tid < stride) {\n ssum[tid] += ssum[tid + stride];\n ssq[tid] += ssq[tid + stride];\n }\n __syncthreads();\n }\n if (tid == 0) {\n float mean = ssum[0] / (float)M;\n float var = ssq[0] / (float)M - mean * mean;\n if (var < 0.0f) var = 0.0f;\n float inv = rsqrtf(var + eps);\n float w = weight[c];\n scale_out[c] = w * inv;\n shift_out[c] = bias[c] - mean * w * inv;\n running_mean[c] = running_mean[c] * (1.0f - momentum) + momentum * mean;\n running_var[c] = running_var[c] * (1.0f - momentum) + momentum * (var * ((float)M / (float)(M - 1)));\n }\n}\n\n__global__ void norm_kernel(float* __restrict__ x,\n const float* __restrict__ scale,\n const float* __restrict__ shift,\n int64_t total, int C, int HW) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (; idx < total; idx += stride) {\n int c = (int)((idx / HW) % C);\n x[idx] = x[idx] * scale[c] + shift[c];\n }\n}\n\n__global__ void eval_kernel(float* __restrict__ x,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n const float* __restrict__ running_mean,\n const float* __restrict__ running_var,\n int64_t total, int C, int HW, float eps) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t stride = (int64_t)blockDim.x * gridDim.x;\n for (; idx < total; idx += stride) {\n int c = (int)((idx / HW) % C);\n float a = mish_func(x[idx]);\n x[idx] = (a - running_mean[c]) * rsqrtf(running_var[c] + eps) * weight[c] + bias[c];\n }\n}\n\ntorch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,\n torch::Tensor running_mean, torch::Tensor running_var,\n bool training, double momentum, double eps) {\n CHECK_CUDA(x);\n CHECK_CUDA(weight);\n CHECK_CUDA(bias);\n CHECK_CUDA(running_mean);\n CHECK_CUDA(running_var);\n TORCH_CHECK(x.dtype() == torch::kFloat32, \"float32 only\");\n int N = (int)x.size(0);\n int C = (int)x.size(1);\n int HW = (int)(x.size(2) * x.size(3));\n int M = N * HW;\n int64_t total = x.numel();\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n const int threads = 256;\n const int parts = 16;\n if (training) {\n auto opts = x.options();\n auto partial_sum = torch::empty({C, parts}, opts);\n auto partial_sq = torch::empty({C, parts}, opts);\n auto scale = torch::empty({C}, opts);\n auto shift = torch::empty({C}, opts);\n act_partial_kernel<256><<<dim3(C, parts), threads, 0, stream>>>(\n x.data_ptr<float>(), partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), C, HW, M, parts);\n finalize_kernel<256><<<C, threads, 0, stream>>>(\n partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(),\n running_mean.data_ptr<float>(), running_var.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(),\n C, M, parts, (float)momentum, (float)eps);\n int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));\n norm_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(), total, C, HW);\n } else {\n int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));\n eval_kernel<<<blocks, threads, 0, stream>>>(\n x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), running_mean.data_ptr<float>(),\n running_var.data_ptr<float>(), total, C, HW, (float)eps);\n }\n return x;\n}\n'''\n\n_ext = load_inline(\n name='mish_bn_final_ext',\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=['mish_bn_forward'],\n extra_cuda_cflags=['-O3', '--use_fast_math'],\n extra_cflags=['-O3'],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_channels, out_channels, kernel_size, eps=1e-5, momentum=0.1):\n super(ModelNew, self).__init__()\n self.conv = nn.Conv2d(in_channels, out_channels, kernel_size)\n self.bn = nn.BatchNorm2d(out_channels, eps=eps, momentum=momentum)\n\n def forward(self, x):\n y = self.conv(x)\n return _ext.mish_bn_forward(\n y, self.bn.weight, self.bn.bias, self.bn.running_mean, self.bn.running_var,\n self.training, float(self.bn.momentum), float(self.bn.eps)\n )\n" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (5 / 5) correctness trials all passed. Kernel runtime: 2.66 μs Runtime stats: mean=2.66μs median=?μs std=0.13μs Numerical precision: max_abs_err=2.67e-05 mean_abs_err=2.19e-07 max_rel_err=9.54e+05 Memory: 1008.98 MB peak (ref: 1744.94 MB, ratio: 0.5782x) Kernel launches: 11 (ref: 22, fusion ratio: 2.0) Energy: 483.4 mJ/run (ref: 484.1 mJ, ratio: 1.0014x) SOL score: 1.0
final submitted kernel (203 lines, 7,849 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 mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,
                              torch::Tensor running_mean, torch::Tensor running_var,
                              bool training, double momentum, double eps);
'''

cuda_src = r'''
#include <torch/extension.h>
#include <ATen/cuda/CUDAContext.h>
#include <cuda.h>
#include <cuda_runtime.h>

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

static inline int div_up_int64(int64_t a, int b) {
    return (int)((a + b - 1) / b);
}

__device__ __forceinline__ float mish_func(float x) {
    if (x > 20.0f) return x;
    float e = expf(x);
    return x * (e * (e + 2.0f)) / (e * e + 2.0f * e + 2.0f);
}

template<int BLOCK>
__global__ void act_partial_kernel(float* __restrict__ x,
                                   float* __restrict__ psum,
                                   float* __restrict__ psq,
                                   int C, int HW, int M, int parts) {
    int c = blockIdx.x;
    int p = blockIdx.y;
    int tid = threadIdx.x;
    int64_t start = ((int64_t)p * M) / parts;
    int64_t end = ((int64_t)(p + 1) * M) / parts;
    float sum = 0.0f, sq = 0.0f;
    for (int64_t m = start + tid; m < end; m += BLOCK) {
        int n = (int)(m / HW);
        int hw = (int)(m - (int64_t)n * HW);
        int64_t idx = ((int64_t)n * C + c) * HW + hw;
        float a = mish_func(x[idx]);
        x[idx] = a;
        sum += a;
        sq += a * a;
    }
    __shared__ float ssum[BLOCK];
    __shared__ float ssq[BLOCK];
    ssum[tid] = sum;
    ssq[tid] = sq;
    __syncthreads();
    for (int stride = BLOCK / 2; stride > 0; stride >>= 1) {
        if (tid < stride) {
            ssum[tid] += ssum[tid + stride];
            ssq[tid] += ssq[tid + stride];
        }
        __syncthreads();
    }
    if (tid == 0) {
        int off = c * parts + p;
        psum[off] = ssum[0];
        psq[off] = ssq[0];
    }
}

template<int BLOCK>
__global__ void finalize_kernel(const float* __restrict__ psum,
                                const float* __restrict__ psq,
                                const float* __restrict__ weight,
                                const float* __restrict__ bias,
                                float* __restrict__ running_mean,
                                float* __restrict__ running_var,
                                float* __restrict__ scale_out,
                                float* __restrict__ shift_out,
                                int C, int M, int parts, float momentum, float eps) {
    int c = blockIdx.x;
    int tid = threadIdx.x;
    float sum = 0.0f, sq = 0.0f;
    for (int p = tid; p < parts; p += BLOCK) {
        int off = c * parts + p;
        sum += psum[off];
        sq += psq[off];
    }
    __shared__ float ssum[BLOCK];
    __shared__ float ssq[BLOCK];
    ssum[tid] = sum;
    ssq[tid] = sq;
    __syncthreads();
    for (int stride = BLOCK / 2; stride > 0; stride >>= 1) {
        if (tid < stride) {
            ssum[tid] += ssum[tid + stride];
            ssq[tid] += ssq[tid + stride];
        }
        __syncthreads();
    }
    if (tid == 0) {
        float mean = ssum[0] / (float)M;
        float var = ssq[0] / (float)M - mean * mean;
        if (var < 0.0f) var = 0.0f;
        float inv = rsqrtf(var + eps);
        float w = weight[c];
        scale_out[c] = w * inv;
        shift_out[c] = bias[c] - mean * w * inv;
        running_mean[c] = running_mean[c] * (1.0f - momentum) + momentum * mean;
        running_var[c] = running_var[c] * (1.0f - momentum) + momentum * (var * ((float)M / (float)(M - 1)));
    }
}

__global__ void norm_kernel(float* __restrict__ x,
                            const float* __restrict__ scale,
                            const float* __restrict__ shift,
                            int64_t total, int C, int HW) {
    int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;
    int64_t stride = (int64_t)blockDim.x * gridDim.x;
    for (; idx < total; idx += stride) {
        int c = (int)((idx / HW) % C);
        x[idx] = x[idx] * scale[c] + shift[c];
    }
}

__global__ void eval_kernel(float* __restrict__ x,
                            const float* __restrict__ weight,
                            const float* __restrict__ bias,
                            const float* __restrict__ running_mean,
                            const float* __restrict__ running_var,
                            int64_t total, int C, int HW, float eps) {
    int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;
    int64_t stride = (int64_t)blockDim.x * gridDim.x;
    for (; idx < total; idx += stride) {
        int c = (int)((idx / HW) % C);
        float a = mish_func(x[idx]);
        x[idx] = (a - running_mean[c]) * rsqrtf(running_var[c] + eps) * weight[c] + bias[c];
    }
}

torch::Tensor mish_bn_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias,
                              torch::Tensor running_mean, torch::Tensor running_var,
                              bool training, double momentum, double eps) {
    CHECK_CUDA(x);
    CHECK_CUDA(weight);
    CHECK_CUDA(bias);
    CHECK_CUDA(running_mean);
    CHECK_CUDA(running_var);
    TORCH_CHECK(x.dtype() == torch::kFloat32, "float32 only");
    int N = (int)x.size(0);
    int C = (int)x.size(1);
    int HW = (int)(x.size(2) * x.size(3));
    int M = N * HW;
    int64_t total = x.numel();
    cudaStream_t stream = at::cuda::getCurrentCUDAStream();
    const int threads = 256;
    const int parts = 16;
    if (training) {
        auto opts = x.options();
        auto partial_sum = torch::empty({C, parts}, opts);
        auto partial_sq = torch::empty({C, parts}, opts);
        auto scale = torch::empty({C}, opts);
        auto shift = torch::empty({C}, opts);
        act_partial_kernel<256><<<dim3(C, parts), threads, 0, stream>>>(
            x.data_ptr<float>(), partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), C, HW, M, parts);
        finalize_kernel<256><<<C, threads, 0, stream>>>(
            partial_sum.data_ptr<float>(), partial_sq.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(),
            running_mean.data_ptr<float>(), running_var.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(),
            C, M, parts, (float)momentum, (float)eps);
        int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));
        norm_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), scale.data_ptr<float>(), shift.data_ptr<float>(), total, C, HW);
    } else {
        int blocks = (int)std::min<int64_t>(4096, div_up_int64(total, threads));
        eval_kernel<<<blocks, threads, 0, stream>>>(
            x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), running_mean.data_ptr<float>(),
            running_var.data_ptr<float>(), total, C, HW, (float)eps);
    }
    return x;
}
'''

_ext = load_inline(
    name='mish_bn_final_ext',
    cpp_sources=[cpp_src],
    cuda_sources=[cuda_src],
    functions=['mish_bn_forward'],
    extra_cuda_cflags=['-O3', '--use_fast_math'],
    extra_cflags=['-O3'],
    verbose=False,
)

class ModelNew(nn.Module):
    def __init__(self, in_channels, out_channels, kernel_size, eps=1e-5, momentum=0.1):
        super(ModelNew, self).__init__()
        self.conv = nn.Conv2d(in_channels, out_channels, kernel_size)
        self.bn = nn.BatchNorm2d(out_channels, eps=eps, momentum=momentum)

    def forward(self, x):
        y = self.conv(x)
        return _ext.mish_bn_forward(
            y, self.bn.weight, self.bn.bias, self.bn.running_mean, self.bn.running_var,
            self.training, float(self.bn.momentum), float(self.bn.eps)
        )