gpt-5.5-priority · original · l123_single_gpt
incorrect 22_Matmul_Scale_ResidualAdd_Clamp_LogSumExp_Mish.py
model
gpt-5.5-priority
turns / max
1 / 1
tool calls
1
tokens (total)
0
wall clock
—
truncated
no
backend
cuda fp32
variant
original
runtime
—
ref runtime
2.86 μs
speedup
—
started
2026-05-05T00:36:55Z
correctness issue: Output mismatch
timingkernelbench.timing
kernel runtime
—
ref runtime
2.86 μs
speedup
—
kernel mean / median / std
—
ref mean / median / std
2.86 / — / 0.02 μs
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.928
dram util %
38.2%
compute util %
92.8%
bottleneck
compute-bound
dominant pipe
FP32
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
1279.31 GB/s
dram util %
38.2%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
94.4%
bottleneck
compute-bound
dominant pipe %
92.8%
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
113.2%
ld sectors / req
8.00
st sectors / req
—
regs / thread
271
smem / block
36096 B
block size
384
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
2472.2%
short_scoreboard
89.5%
mio_throttle
22.6%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn

class Model(nn.Module):
    """
    Model that performs a matrix multiplication, scales the result, adds a residual connection, clamps the output,
    applies LogSumExp, and finally applies the Mish activation function.
    """
    def __init__(self, input_size, hidden_size, scale_factor, clamp_min, clamp_max):
        super(Model, self).__init__()
        self.matmul = nn.Linear(input_size, hidden_size)
        self.scale_factor = scale_factor
        self.clamp_min = clamp_min
        self.clamp_max = clamp_max

    def forward(self, x):
        """
        Args:
            x: Input tensor of shape (batch_size, input_size).

        Returns:
            Output tensor of shape (batch_size, hidden_size).
        """
        x = self.matmul(x)
        x = x * self.scale_factor
        x = x + x
        x = torch.clamp(x, self.clamp_min, self.clamp_max)
        x = torch.logsumexp(x, dim=1, keepdim=True)
        x = x * torch.nn.functional.mish(x)  # Mish activation
        return x

batch_size = 1024
input_size = 8192
hidden_size = 8192
scale_factor = 2.0
clamp_min = -10.0
clamp_max = 10.0

def get_inputs():
    return [torch.rand(batch_size, input_size)]

def get_init_inputs():
    return [input_size, hidden_size, scale_factor, clamp_min, clamp_max]
turn 0 · FINAL · 1 tool call(s) · 43.4s turn · 43.4s LLM · 7,554 chars (click to expand)
turn 043.4s turn · 43.4s LLM · 0.0s tools · FINAL
reasoning
**Optimizing Python Model** I need to craft a complete Python model submission, ensuring it's optimized. I'm working on a Linear model that processes a large matrix—8192x8192 for batch size of 1024—followed by a logsumexp reduction. I noticed the output shape is (1024, 1), which isn't correct in the documentation. I also need to ensure the weights match those of nn.Linear. It'll likely require defining matmul and replacing the forward function. Since GEMM is large, using custom CUDA kernels might be necessary, but I need to combine PyTorch functions for efficiency. **Improving Linear Model Performance** I need to find ways to optimize the linear operations using torch and cuBLAS for efficiency. One idea is to exploit clamp and scale for the linear output, then apply logsumexp on clamped values. I want to ensure the tolerance is within 1e-4. It's tricky because directly computing the logsumexp of clamped dot products is tough. I plan to include an extension for these calculations. Each row’s reduction could ideally run on a single CUDA kernel, and I’ll compute the max and sum to finalize the output while keeping all operations efficient. **Assessing performance trade-offs** I'm considering potential overhead reductions, wondering if 512 more could help with 16 values, but thinking is 256 enough? With B set to 1024, it seems like the block size is adequate. I’m not sure about using two rows per block since it might complicate things. For 1024 blocks, everything checks out fine, and I estimate a post time of about 100 microseconds. It feels like a manageable approach.
call → submit_kernel
callsubmit_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\n\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\n\ntorch::Tensor fused_post_forward(torch::Tensor y, double scale_factor, double clamp_min, double clamp_max);\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <float.h>\n#include <math.h>\n\nstatic __inline__ __device__ float warp_reduce_max(float v) {\n unsigned mask = 0xffffffffu;\n v = fmaxf(v, __shfl_down_sync(mask, v, 16));\n v = fmaxf(v, __shfl_down_sync(mask, v, 8));\n v = fmaxf(v, __shfl_down_sync(mask, v, 4));\n v = fmaxf(v, __shfl_down_sync(mask, v, 2));\n v = fmaxf(v, __shfl_down_sync(mask, v, 1));\n return v;\n}\n\nstatic __inline__ __device__ float warp_reduce_sum(float v) {\n unsigned mask = 0xffffffffu;\n v += __shfl_down_sync(mask, v, 16);\n v += __shfl_down_sync(mask, v, 8);\n v += __shfl_down_sync(mask, v, 4);\n v += __shfl_down_sync(mask, v, 2);\n v += __shfl_down_sync(mask, v, 1);\n return v;\n}\n\nstatic __inline__ __device__ float block_reduce_max(float v) {\n __shared__ float shared[32];\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n v = warp_reduce_max(v);\n if (lane == 0) shared[wid] = v;\n __syncthreads();\n v = (threadIdx.x < (blockDim.x >> 5)) ? shared[lane] : -FLT_MAX;\n if (wid == 0) v = warp_reduce_max(v);\n return v;\n}\n\nstatic __inline__ __device__ float block_reduce_sum(float v) {\n __shared__ float shared[32];\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n v = warp_reduce_sum(v);\n if (lane == 0) shared[wid] = v;\n __syncthreads();\n v = (threadIdx.x < (blockDim.x >> 5)) ? shared[lane] : 0.0f;\n if (wid == 0) v = warp_reduce_sum(v);\n return v;\n}\n\n__global__ void fused_post_kernel(const float* __restrict__ y,\n float* __restrict__ out,\n int rows, int cols,\n float scale, float cmin, float cmax) {\n int row = blockIdx.x;\n if (row >= rows) return;\n const float* base = y + ((long long)row) * cols;\n\n float tmax = -FLT_MAX;\n for (int col = threadIdx.x; col < cols; col += blockDim.x) {\n float v = base[col] * scale;\n v = v + v;\n v = fminf(fmaxf(v, cmin), cmax);\n tmax = fmaxf(tmax, v);\n }\n float m = block_reduce_max(tmax);\n __syncthreads();\n\n float tsum = 0.0f;\n for (int col = threadIdx.x; col < cols; col += blockDim.x) {\n float v = base[col] * scale;\n v = v + v;\n v = fminf(fmaxf(v, cmin), cmax);\n tsum += expf(v - m);\n }\n float s = block_reduce_sum(tsum);\n\n if (threadIdx.x == 0) {\n float lse = m + logf(s);\n float sp;\n if (lse > 20.0f) {\n sp = lse;\n } else if (lse < -20.0f) {\n sp = expf(lse);\n } else {\n sp = log1pf(expf(lse));\n }\n float mish = lse * tanhf(sp);\n out[row] = lse * mish;\n }\n}\n\ntorch::Tensor fused_post_forward(torch::Tensor y, double scale_factor, double clamp_min, double clamp_max) {\n TORCH_CHECK(y.is_cuda(), \"input must be CUDA\");\n TORCH_CHECK(y.scalar_type() == at::kFloat, \"only float32 is supported\");\n TORCH_CHECK(y.dim() == 2, \"input must be 2D\");\n if (!y.is_contiguous()) y = y.contiguous();\n const int rows = (int)y.size(0);\n const int cols = (int)y.size(1);\n auto out = torch::empty({rows, 1}, y.options());\n const int threads = 256;\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n fused_post_kernel<<<rows, threads, 0, stream>>>(\n y.data_ptr<float>(), out.data_ptr<float>(), rows, cols,\n (float)scale_factor, (float)clamp_min, (float)clamp_max);\n return out;\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"fused_linear_post_lse_mish_ext\",\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=[\"fused_post_forward\"],\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_size, hidden_size, scale_factor, clamp_min, clamp_max):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(input_size, hidden_size)\n self.scale_factor = scale_factor\n self.clamp_min = clamp_min\n self.clamp_max = clamp_max\n\n def forward(self, x):\n y = F.linear(x, self.matmul.weight, self.matmul.bias)\n return _ext.fused_post_forward(y, float(self.scale_factor), float(self.clamp_min), float(self.clamp_max))\n" }
result ← submit_kernel (fail)
failsubmit_kernel submit_kernel FAILED: correctness check did not pass ((0 / 5) trials). correctness_issue: Output mismatch max_difference: ['inf', 'inf', 'inf', 'inf', 'inf'] avg_difference: ['inf', 'inf', 'inf', 'inf', 'inf']
final submitted kernel (146 lines, 4,599 chars) — full source, untruncated
import torch
import torch.nn as nn
import torch.nn.functional as F
from torch.utils.cpp_extension import load_inline


_cpp_src = r"""
#include <torch/extension.h>

torch::Tensor fused_post_forward(torch::Tensor y, double scale_factor, double clamp_min, double clamp_max);
"""

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

static __inline__ __device__ float warp_reduce_max(float v) {
    unsigned mask = 0xffffffffu;
    v = fmaxf(v, __shfl_down_sync(mask, v, 16));
    v = fmaxf(v, __shfl_down_sync(mask, v, 8));
    v = fmaxf(v, __shfl_down_sync(mask, v, 4));
    v = fmaxf(v, __shfl_down_sync(mask, v, 2));
    v = fmaxf(v, __shfl_down_sync(mask, v, 1));
    return v;
}

static __inline__ __device__ float warp_reduce_sum(float v) {
    unsigned mask = 0xffffffffu;
    v += __shfl_down_sync(mask, v, 16);
    v += __shfl_down_sync(mask, v, 8);
    v += __shfl_down_sync(mask, v, 4);
    v += __shfl_down_sync(mask, v, 2);
    v += __shfl_down_sync(mask, v, 1);
    return v;
}

static __inline__ __device__ float block_reduce_max(float v) {
    __shared__ float shared[32];
    int lane = threadIdx.x & 31;
    int wid = threadIdx.x >> 5;
    v = warp_reduce_max(v);
    if (lane == 0) shared[wid] = v;
    __syncthreads();
    v = (threadIdx.x < (blockDim.x >> 5)) ? shared[lane] : -FLT_MAX;
    if (wid == 0) v = warp_reduce_max(v);
    return v;
}

static __inline__ __device__ float block_reduce_sum(float v) {
    __shared__ float shared[32];
    int lane = threadIdx.x & 31;
    int wid = threadIdx.x >> 5;
    v = warp_reduce_sum(v);
    if (lane == 0) shared[wid] = v;
    __syncthreads();
    v = (threadIdx.x < (blockDim.x >> 5)) ? shared[lane] : 0.0f;
    if (wid == 0) v = warp_reduce_sum(v);
    return v;
}

__global__ void fused_post_kernel(const float* __restrict__ y,
                                  float* __restrict__ out,
                                  int rows, int cols,
                                  float scale, float cmin, float cmax) {
    int row = blockIdx.x;
    if (row >= rows) return;
    const float* base = y + ((long long)row) * cols;

    float tmax = -FLT_MAX;
    for (int col = threadIdx.x; col < cols; col += blockDim.x) {
        float v = base[col] * scale;
        v = v + v;
        v = fminf(fmaxf(v, cmin), cmax);
        tmax = fmaxf(tmax, v);
    }
    float m = block_reduce_max(tmax);
    __syncthreads();

    float tsum = 0.0f;
    for (int col = threadIdx.x; col < cols; col += blockDim.x) {
        float v = base[col] * scale;
        v = v + v;
        v = fminf(fmaxf(v, cmin), cmax);
        tsum += expf(v - m);
    }
    float s = block_reduce_sum(tsum);

    if (threadIdx.x == 0) {
        float lse = m + logf(s);
        float sp;
        if (lse > 20.0f) {
            sp = lse;
        } else if (lse < -20.0f) {
            sp = expf(lse);
        } else {
            sp = log1pf(expf(lse));
        }
        float mish = lse * tanhf(sp);
        out[row] = lse * mish;
    }
}

torch::Tensor fused_post_forward(torch::Tensor y, double scale_factor, double clamp_min, double clamp_max) {
    TORCH_CHECK(y.is_cuda(), "input must be CUDA");
    TORCH_CHECK(y.scalar_type() == at::kFloat, "only float32 is supported");
    TORCH_CHECK(y.dim() == 2, "input must be 2D");
    if (!y.is_contiguous()) y = y.contiguous();
    const int rows = (int)y.size(0);
    const int cols = (int)y.size(1);
    auto out = torch::empty({rows, 1}, y.options());
    const int threads = 256;
    cudaStream_t stream = at::cuda::getCurrentCUDAStream();
    fused_post_kernel<<<rows, threads, 0, stream>>>(
        y.data_ptr<float>(), out.data_ptr<float>(), rows, cols,
        (float)scale_factor, (float)clamp_min, (float)clamp_max);
    return out;
}
"""

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


class ModelNew(nn.Module):
    def __init__(self, input_size, hidden_size, scale_factor, clamp_min, clamp_max):
        super(ModelNew, self).__init__()
        self.matmul = nn.Linear(input_size, hidden_size)
        self.scale_factor = scale_factor
        self.clamp_min = clamp_min
        self.clamp_max = clamp_max

    def forward(self, x):
        y = F.linear(x, self.matmul.weight, self.matmul.bias)
        return _ext.fused_post_forward(y, float(self.scale_factor), float(self.clamp_min), float(self.clamp_max))