gpt-5.5-priority · original · l12_all_gpt
correct 40_Matmul_Scaling_ResidualAdd.py
model
gpt-5.5-priority
turns / max
15 / 15
tool calls
15
tokens (total)
0
wall clock
—
truncated
no
backend
cuda fp32
variant
original
runtime
11.10 μs
ref runtime
11.60 μs
speedup
1.05x
started
2026-05-04T06:45:50Z
timingkernelbench.timing
kernel runtime
11.10 μs
ref runtime
11.60 μs
speedup
1.05x
kernel mean / median / std
11.10 / — / 0.36 μs
ref mean / median / std
11.60 / — / 0.28 μs
numerical precisioneval_kernel_against_ref
max abs error
0.00
mean abs error
0.00
max rel error
0.00
mean rel error
0.00
gpu memoryextended_metrics.measure_memory
kernel peak
673.03 MB
ref peak
1185.03 MB
kernel / ref
0.57x
kernel launches / fusiontorch.profiler
kernel launches
1
ref launches
12
fusion ratio (ref / kernel)
12.00x
total cuda time
24 μs
energyNVML (pynvml)
kernel mJ / run
1450.90
ref mJ / run
1450.84
ratio (ref / kernel)
1.00x
avg power
132.19 W
ref avg power
123.70 W
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
1.000
dram util %
100.0%
compute util %
82.6%
bottleneck
memory-bound
dominant pipe
FP32
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
3520.91 GB/s
dram util %
100.0%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
91.9%
bottleneck
memory-bound
dominant pipe %
82.6%
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
123.6%
ld sectors / req
20.00
st sectors / req
—
regs / thread
270
smem / block
35840 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
13577.2%
short_scoreboard
258.7%
mio_throttle
26.6%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn

class Model(nn.Module):
    """
    A model that performs a matrix multiplication, scaling, and residual addition.

    Args:
        in_features (int): Number of input features.
        out_features (int): Number of output features.
        scaling_factor (float): Scaling factor to apply after matrix multiplication.
    """
    def __init__(self, in_features, out_features, scaling_factor):
        super(Model, self).__init__()
        self.matmul = nn.Linear(in_features, out_features)
        self.scaling_factor = scaling_factor

    def forward(self, x):
        """
        Forward pass of the model.

        Args:
            x (torch.Tensor): Input tensor of shape (batch_size, in_features).

        Returns:
            torch.Tensor: Output tensor of shape (batch_size, out_features).
        """
        x = self.matmul(x)
        original_x = x.clone().detach()
        x = x * self.scaling_factor
        x = x + original_x
        return x

batch_size = 16384
in_features = 4096
out_features = 4096
scaling_factor = 0.5

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

def get_init_inputs():
    return [in_features, out_features, scaling_factor]
turn 09.4s turn · 9.4s LLM · 0.0s tools
call → get_gpu_specs
callget_gpu_specs {}
result ← get_gpu_specs (ok)
okget_gpu_specs GPU specs for NVIDIA H100 80GB HBM3: total memory (runtime): 79.1 GB spec entry: H100 GPU Architecture: Hopper GPU Memory: 80GB Memory Bandwidth: 3.35 TB/s FP64 TFLOPS: 34 FP64 Tensor Core TFLOPS: 67 FP32 TFLOPS: 67 TF32 Tensor Core TFLOPS: 989 with sparsity BFLOAT16 Tensore Core TFLOPS: 1979 with sparsity FP16 Tensor Core TFLOPS: 1979 with sparsity FP8 Tensor Core TFLOPS: 3958 with sparsity INT8 Tensor Core TOPS: 3958 with sparsity Register File Size: 64K 32-bit registers per SM Maximum number of registers per thread: 255 Maximum number of thread blocks per SM: 32 Shared memory capacity per SM: 228 KB Maximum shared memory per thread block: 227 KB
turn 116.9s turn · 16.9s LLM · 0.0s tools
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\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n double s = 1.0 + scaling_factor;\n // Computes s * (x @ weight.T + bias) in a single addmm call when possible.\n return at::addmm(bias, x, weight.t(), s, s);\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v1\",\n cpp_sources=[cpp_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 23.1s turn · 3.1s 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\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n double s = 1.0 + scaling_factor;\n // Computes s * (x @ weight.T + bias) in a single addmm call when possible.\n return at::addmm(bias, x, weight.t(), s, s);\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v1\",\n cpp_sources=[cpp_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=2.38e-07 mean_abs_err=9.18e-09 max_rel_err=4.17e-02
turn 34.0s turn · 4.0s LLM · 0.0s tools
reasoning
**Evaluating submission speed** I think checking the submit option might be the fastest approach. But wait, I should compare profiles to see if there's any difference. It seems like it only shows our combined data. Maybe I can use the profile to look at runtime as well. I'm balancing between checking submission speed and making sure I'm comparing the right details. It feels a bit tangled up, but I’ll sort through it!
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\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n double s = 1.0 + scaling_factor;\n return at::addmm(bias, x, weight.t(), s, s);\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v1p\",\n cpp_sources=[cpp_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::addmm 92296.0μs (100%) calls=1 #2: aten::t 106.0μs (0%) calls=1 #3: aten::transpose 45.0μs (0%) calls=1 #4: aten::expand 16.0μs (0%) calls=1 #5: aten::as_strided 15.0μs (0%) calls=1 ... +1 more kernels --- Timing --- GPU time: 10990.94 μs --- Memory Bandwidth --- DRAM BW: 2166.0/3350 GB/s (64.7%) read=614.5 write=1551.5 GB/s Hit rates: L2=173.5% --- Compute Throughput --- Dominant pipe: FP32 util=91.6% Pipe util: FMA=91.6%, Tensor=2.5% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 35.2% Eligible warps/cycle: 2.35 Launch: regs/thread=272, smem/blk=35840B, block=256, grid=266240 --- Memory Access Quality --- Global ld coalescing: 8.00 sectors/req (8.0x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- short_scoreboard 110.6% #################### long_scoreboard 58.6% ########### mio_throttle 2.8% --- Optimization Hints --- -> 111% stalls: shared memory / L1 / MIO dependency. Check smem layout for bank conflicts, double-buffer, or async copies. -> Global load coalescing=8.0x (ideal=1.0) -> 8x wasted DRAM BW. Make per-warp accesses contiguous. -> Compute-bound but NOT using tensor cores. If applicable, use FP16/BF16 with torch.matmul or WMMA intrinsics.
turn 410.6s turn · 10.6s LLM · 0.0s tools
reasoning
**Considering CUDA kernel options** I'm thinking about the user's question regarding a "custom CUDA kernel." I wonder if using a static tool would be okay, especially if I can load it inline with C++. However, I have to keep in mind that CUDA wouldn't be needed for a non-custom situation. This makes me realize how specific the case truly is, and I may need to clarify further to ensure I'm on the right track!
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\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n double s = 1.0 + scaling_factor;\n return at::addmm(bias, x, weight.t(), s, s);\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v1s\",\n cpp_sources=[cpp_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← static_check (fail)
failstatic_check static_check FAILED: strict violations found. ERROR: Missing __global__ kernel definition
turn 515.1s turn · 15.1s LLM · 0.0s tools
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\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s);\n\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n float s = static_cast<float>(1.0 + scaling_factor);\n at::Tensor y = at::mm(x, weight.t());\n scale_bias_cuda(y, bias, s);\n return y;\n}\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <ATen/cuda/CUDAContext.h>\n\n__global__ void scale_bias_kernel4(float4* __restrict__ y4, const float4* __restrict__ b4, long long n4, int out4, float s) {\n long long idx = (long long)blockIdx.x * blockDim.x + threadIdx.x;\n long long stride = (long long)blockDim.x * gridDim.x;\n for (; idx < n4; idx += stride) {\n int c4 = (int)(idx % out4);\n float4 v = y4[idx];\n float4 b = b4[c4];\n v.x = (v.x + b.x) * s;\n v.y = (v.y + b.y) * s;\n v.z = (v.z + b.z) * s;\n v.w = (v.w + b.w) * s;\n y4[idx] = v;\n }\n}\n\n__global__ void scale_bias_kernel(float* __restrict__ y, const float* __restrict__ b, long long n, int out, float s) {\n long long idx = (long long)blockIdx.x * blockDim.x + threadIdx.x;\n long long stride = (long long)blockDim.x * gridDim.x;\n for (; idx < n; idx += stride) {\n int c = (int)(idx % out);\n y[idx] = (y[idx] + b[c]) * s;\n }\n}\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s) {\n const long long n = y.numel();\n const int out = (int)y.size(1);\n const int threads = 256;\n auto stream = at::cuda::getCurrentCUDAStream();\n if ((n % 4 == 0) && (out % 4 == 0)) {\n long long n4 = n / 4;\n int out4 = out / 4;\n int blocks = (int)min((long long)65535, (n4 + threads - 1) / threads);\n scale_bias_kernel4<<<blocks, threads, 0, stream>>>(reinterpret_cast<float4*>(y.data_ptr<float>()), reinterpret_cast<const float4*>(bias.data_ptr<float>()), n4, out4, s);\n } else {\n int blocks = (int)min((long long)65535, (n + threads - 1) / threads);\n scale_bias_kernel<<<blocks, threads, 0, stream>>>(y.data_ptr<float>(), bias.data_ptr<float>(), n, out, s);\n }\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v2\",\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 68.1s turn · 8.1s 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\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s);\n\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n float s = static_cast<float>(1.0 + scaling_factor);\n at::Tensor y = at::mm(x, weight.t());\n scale_bias_cuda(y, bias, s);\n return y;\n}\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <ATen/cuda/CUDAContext.h>\n\n__global__ void scale_bias_kernel4(float4* __restrict__ y4, const float4* __restrict__ b4, long long n4, int out4, float s) {\n long long idx = (long long)blockIdx.x * blockDim.x + threadIdx.x;\n long long stride = (long long)blockDim.x * gridDim.x;\n for (; idx < n4; idx += stride) {\n int c4 = (int)(idx % out4);\n float4 v = y4[idx];\n float4 b = b4[c4];\n v.x = (v.x + b.x) * s;\n v.y = (v.y + b.y) * s;\n v.z = (v.z + b.z) * s;\n v.w = (v.w + b.w) * s;\n y4[idx] = v;\n }\n}\n\n__global__ void scale_bias_kernel(float* __restrict__ y, const float* __restrict__ b, long long n, int out, float s) {\n long long idx = (long long)blockIdx.x * blockDim.x + threadIdx.x;\n long long stride = (long long)blockDim.x * gridDim.x;\n for (; idx < n; idx += stride) {\n int c = (int)(idx % out);\n y[idx] = (y[idx] + b[c]) * s;\n }\n}\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s) {\n const long long n = y.numel();\n const int out = (int)y.size(1);\n const int threads = 256;\n auto stream = at::cuda::getCurrentCUDAStream();\n if ((n % 4 == 0) && (out % 4 == 0)) {\n long long n4 = n / 4;\n int out4 = out / 4;\n int blocks = (int)min((long long)65535, (n4 + threads - 1) / threads);\n scale_bias_kernel4<<<blocks, threads, 0, stream>>>(reinterpret_cast<float4*>(y.data_ptr<float>()), reinterpret_cast<const float4*>(bias.data_ptr<float>()), n4, out4, s);\n } else {\n int blocks = (int)min((long long)65535, (n + threads - 1) / threads);\n scale_bias_kernel<<<blocks, threads, 0, stream>>>(y.data_ptr<float>(), bias.data_ptr<float>(), n, out, s);\n }\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v2c\",\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
turn 77.3s turn · 7.3s 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>\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s);\n\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n float s = static_cast<float>(1.0 + scaling_factor);\n at::Tensor y = at::mm(x, weight.t());\n scale_bias_cuda(y, bias, s);\n return y;\n}\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <ATen/cuda/CUDAContext.h>\n\n__global__ void scale_bias_kernel4(float4* __restrict__ y4, const float4* __restrict__ b4, long long n4, int out4, float s) {\n long long idx = (long long)blockIdx.x * blockDim.x + threadIdx.x;\n long long stride = (long long)blockDim.x * gridDim.x;\n for (; idx < n4; idx += stride) {\n int c4 = (int)(idx % out4);\n float4 v = y4[idx];\n float4 b = b4[c4];\n v.x = (v.x + b.x) * s;\n v.y = (v.y + b.y) * s;\n v.z = (v.z + b.z) * s;\n v.w = (v.w + b.w) * s;\n y4[idx] = v;\n }\n}\n\n__global__ void scale_bias_kernel(float* __restrict__ y, const float* __restrict__ b, long long n, int out, float s) {\n long long idx = (long long)blockIdx.x * blockDim.x + threadIdx.x;\n long long stride = (long long)blockDim.x * gridDim.x;\n for (; idx < n; idx += stride) {\n int c = (int)(idx % out);\n y[idx] = (y[idx] + b[c]) * s;\n }\n}\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s) {\n const long long n = y.numel();\n const int out = (int)y.size(1);\n const int threads = 256;\n auto stream = at::cuda::getCurrentCUDAStream();\n if ((n % 4 == 0) && (out % 4 == 0)) {\n long long n4 = n / 4;\n int out4 = out / 4;\n int blocks = (int)min((long long)65535, (n4 + threads - 1) / threads);\n scale_bias_kernel4<<<blocks, threads, 0, stream>>>(reinterpret_cast<float4*>(y.data_ptr<float>()), reinterpret_cast<const float4*>(bias.data_ptr<float>()), n4, out4, s);\n } else {\n int blocks = (int)min((long long)65535, (n + threads - 1) / threads);\n scale_bias_kernel<<<blocks, threads, 0, stream>>>(y.data_ptr<float>(), bias.data_ptr<float>(), n, out, s);\n }\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v2p\",\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::mm 81043.0μs (100%) calls=1 #2: aten::t 96.0μs (0%) calls=1 #3: aten::transpose 40.0μs (0%) calls=1 #4: aten::as_strided 13.0μs (0%) calls=1 --- Timing --- GPU time: 10949.76 μs [↓41.2μs ok] --- Memory Bandwidth --- DRAM BW: 3517.1/3350 GB/s (100.0%) [↑35.3% ok] read=2083.2 write=1433.9 GB/s Hit rates: L2=124.2% --- Compute Throughput --- Dominant pipe: FP32 util=91.8% [↑0.2% ok] Pipe util: FMA=91.8%, Tensor=0.6% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: MEMORY-BOUND --- Occupancy --- Achieved: 92.5% [↑57.2% ok] Eligible warps/cycle: 2.18 Launch: regs/thread=282, smem/blk=35840B, block=384, grid=69631 --- Memory Access Quality --- Global ld coalescing: 20.00 sectors/req (20.0x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 2872.3% #################### short_scoreboard 126.9% #################### mio_throttle 6.1% # --- Optimization Hints --- -> 2872% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=20.0 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=20.0x (ideal=1.0) -> 20x wasted DRAM BW. Make per-warp accesses contiguous. --- Delta vs Previous Iteration --- GPU time: 10990.94→10949.76μs (↓41.18) ok DRAM BW%: 64.66→100.00% (↑35.34) ok Compute%: 91.63→91.79% (↑0.16) ok Occupancy: 35.23→92.46% (↑57.23) ok Eligible warps/cyc: 2.35→2.18 (↓0.16) REGRESSED Ld sectors/req: 8.00→20.00 (↑12.00) REGRESSED L2 hit%: 173.52→124.24% (↓49.28) REGRESSED
turn 88.6s turn · 8.6s 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\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s);\n\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n float s = static_cast<float>(1.0 + scaling_factor);\n at::Tensor y = at::mm(x, weight.t());\n scale_bias_cuda(y, bias, s);\n return y;\n}\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <ATen/cuda/CUDAContext.h>\n\n__global__ void scale_bias_kernel4(float4* __restrict__ y4, const float4* __restrict__ b4, long long n4, int out4, float s) {\n long long idx = (long long)blockIdx.x * blockDim.x + threadIdx.x;\n long long stride = (long long)blockDim.x * gridDim.x;\n for (; idx < n4; idx += stride) {\n int c4 = (int)(idx % out4);\n float4 v = y4[idx];\n float4 b = b4[c4];\n v.x = (v.x + b.x) * s;\n v.y = (v.y + b.y) * s;\n v.z = (v.z + b.z) * s;\n v.w = (v.w + b.w) * s;\n y4[idx] = v;\n }\n}\n\n__global__ void scale_bias_kernel(float* __restrict__ y, const float* __restrict__ b, long long n, int out, float s) {\n long long idx = (long long)blockIdx.x * blockDim.x + threadIdx.x;\n long long stride = (long long)blockDim.x * gridDim.x;\n for (; idx < n; idx += stride) {\n int c = (int)(idx % out);\n y[idx] = (y[idx] + b[c]) * s;\n }\n}\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s) {\n const long long n = y.numel();\n const int out = (int)y.size(1);\n const int threads = 256;\n auto stream = at::cuda::getCurrentCUDAStream();\n if ((n % 4 == 0) && (out % 4 == 0)) {\n long long n4 = n / 4;\n int out4 = out / 4;\n int blocks = (int)min((long long)65535, (n4 + threads - 1) / threads);\n scale_bias_kernel4<<<blocks, threads, 0, stream>>>(reinterpret_cast<float4*>(y.data_ptr<float>()), reinterpret_cast<const float4*>(bias.data_ptr<float>()), n4, out4, s);\n } else {\n int blocks = (int)min((long long)65535, (n + threads - 1) / threads);\n scale_bias_kernel<<<blocks, threads, 0, stream>>>(y.data_ptr<float>(), bias.data_ptr<float>(), n, out, s);\n }\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v2s\",\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← static_check (ok)
okstatic_check static_check PASSED: no violations or warnings detected.
turn 911.1s turn · 11.1s LLM · 0.0s tools
reasoning
**Exploring profiling options** I’m thinking about profiling v1 with a dummy setup, perhaps comparing addmm versus mm+kernel variance. I’m wondering if I should use a submit option, but I’m not sure it’s ready yet. Maybe I should focus just on correctness instead of timing, since the profile might return an unreliable delta. The plan could be to run the profile of v1 with the dummy after v2, then run v2 again for comparison.
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>\nvoid noop_cuda();\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n double s = 1.0 + scaling_factor;\n return at::addmm(bias, x, weight.t(), s, s);\n}\n'''\n\ncuda_src = r'''\n#include <cuda.h>\n#include <cuda_runtime.h>\n__global__ void noop_kernel() {}\nvoid noop_cuda() {}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v1dummyp\",\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::addmm 91868.0μs (100%) calls=1 #2: aten::t 109.0μs (0%) calls=1 #3: aten::transpose 48.0μs (0%) calls=1 #4: aten::as_strided 17.0μs (0%) calls=1 #5: aten::expand 14.0μs (0%) calls=1 ... +1 more kernels --- Timing --- GPU time: 10997.82 μs [↑48.1μs REGRESSED] --- Memory Bandwidth --- DRAM BW: 2164.1/3350 GB/s (64.6%) [↓35.4% REGRESSED] read=612.5 write=1551.5 GB/s Hit rates: L2=173.9% --- Compute Throughput --- Dominant pipe: FP32 util=91.6% [↓0.2% REGRESSED] Pipe util: FMA=91.6%, Tensor=2.5% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 35.2% [↓57.2% REGRESSED] Eligible warps/cycle: 2.35 Launch: regs/thread=272, smem/blk=35840B, block=256, grid=266240 --- Memory Access Quality --- Global ld coalescing: 8.00 sectors/req (8.0x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- short_scoreboard 110.5% #################### long_scoreboard 60.3% ############ mio_throttle 2.6% --- Optimization Hints --- -> 110% stalls: shared memory / L1 / MIO dependency. Check smem layout for bank conflicts, double-buffer, or async copies. -> Global load coalescing=8.0x (ideal=1.0) -> 8x wasted DRAM BW. Make per-warp accesses contiguous. -> Compute-bound but NOT using tensor cores. If applicable, use FP16/BF16 with torch.matmul or WMMA intrinsics. --- Delta vs Previous Iteration --- GPU time: 10949.76→10997.82μs (↑48.06) REGRESSED DRAM BW%: 100.00→64.60% (↓35.40) REGRESSED Compute%: 91.79→91.61% (↓0.18) REGRESSED Occupancy: 92.46→35.23% (↓57.23) REGRESSED Eligible warps/cyc: 2.18→2.35 (↑0.16) ok Ld sectors/req: 20.00→8.00 (↓12.00) ok L2 hit%: 124.24→173.88% (↑49.64) ok
turn 1013.4s 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>\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s);\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n at::Tensor y = at::mm(x, weight.t());\n scale_bias_cuda(y, bias, static_cast<float>(1.0 + scaling_factor));\n return y;\n}\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <ATen/cuda/CUDAContext.h>\n\n__global__ void scale_bias_kernel4_2d(float4* __restrict__ y4, const float4* __restrict__ b4, int rows, int out4, float s) {\n int c4 = blockIdx.x * blockDim.x + threadIdx.x;\n int r = blockIdx.y;\n if (r < rows && c4 < out4) {\n long long idx = (long long)r * out4 + c4;\n float4 v = y4[idx];\n float4 b = b4[c4];\n v.x = (v.x + b.x) * s;\n v.y = (v.y + b.y) * s;\n v.z = (v.z + b.z) * s;\n v.w = (v.w + b.w) * s;\n y4[idx] = v;\n }\n}\n\n__global__ void scale_bias_kernel(float* __restrict__ y, const float* __restrict__ b, long long n, int out, float s) {\n long long idx = (long long)blockIdx.x * blockDim.x + threadIdx.x;\n long long stride = (long long)blockDim.x * gridDim.x;\n for (; idx < n; idx += stride) {\n int c = (int)(idx % out);\n y[idx] = (y[idx] + b[c]) * s;\n }\n}\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s) {\n const long long n = y.numel();\n const int rows = (int)y.size(0);\n const int out = (int)y.size(1);\n auto stream = at::cuda::getCurrentCUDAStream();\n if ((n % 4 == 0) && (out % 4 == 0)) {\n int out4 = out / 4;\n dim3 block(256);\n dim3 grid((out4 + block.x - 1) / block.x, rows);\n scale_bias_kernel4_2d<<<grid, block, 0, stream>>>(reinterpret_cast<float4*>(y.data_ptr<float>()), reinterpret_cast<const float4*>(bias.data_ptr<float>()), rows, out4, s);\n } else {\n const int threads = 256;\n int blocks = (int)min((long long)65535, (n + threads - 1) / threads);\n scale_bias_kernel<<<blocks, threads, 0, stream>>>(y.data_ptr<float>(), bias.data_ptr<float>(), n, out, s);\n }\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v3p\",\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::mm 88317.0μs (100%) calls=1 #2: aten::t 159.0μs (0%) calls=1 #3: aten::transpose 67.0μs (0%) calls=1 #4: aten::as_strided 22.0μs (0%) calls=1 --- Timing --- GPU time: 10955.84 μs [↓42.0μs ok] --- Memory Bandwidth --- DRAM BW: 3526.8/3350 GB/s (100.0%) [↑35.4% ok] read=2091.2 write=1435.6 GB/s Hit rates: L2=124.0% --- Compute Throughput --- Dominant pipe: FP32 util=82.6% [↓9.0% REGRESSED] Pipe util: FMA=82.6%, Tensor=0.0% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: MEMORY-BOUND --- Occupancy --- Achieved: 92.0% [↑56.7% ok] Eligible warps/cycle: 1.62 Launch: regs/thread=270, smem/blk=35840B, block=384, grid=69632 --- Memory Access Quality --- Global ld coalescing: 20.00 sectors/req (20.0x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 12860.5% #################### short_scoreboard 266.7% #################### mio_throttle 70.0% ############# --- Optimization Hints --- -> 12861% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=20.0 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=20.0x (ideal=1.0) -> 20x wasted DRAM BW. Make per-warp accesses contiguous. --- Delta vs Previous Iteration --- GPU time: 10997.82→10955.84μs (↓41.98) ok DRAM BW%: 64.60→100.00% (↑35.40) ok Compute%: 91.61→82.61% (↓9.00) REGRESSED Occupancy: 35.23→91.97% (↑56.74) ok Eligible warps/cyc: 2.35→1.62 (↓0.73) REGRESSED Ld sectors/req: 8.00→20.00 (↑12.00) REGRESSED L2 hit%: 173.88→123.98% (↓49.91) REGRESSED
turn 1117.3s turn · 17.3s LLM · 0.0s tools
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#include <ATen/cuda/CUDAContext.h>\n#include <ATen/cuda/CUDABlas.h>\n#include <cublas_v2.h>\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s);\n\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n const int64_t M64 = x.size(0), K64 = x.size(1), N64 = weight.size(0);\n at::Tensor y = at::empty({M64, N64}, x.options());\n int M = (int)M64, N = (int)N64, K = (int)K64;\n float alpha = 1.0f, beta = 0.0f;\n cublasHandle_t handle = at::cuda::getCurrentCUDABlasHandle();\n cublasSetStream(handle, at::cuda::getCurrentCUDAStream());\n // Row-major y = x * weight^T via column-major cublas: y^T = weight * x^T\n cublasSgemm(handle, CUBLAS_OP_T, CUBLAS_OP_N,\n N, M, K,\n &alpha,\n weight.data_ptr<float>(), K,\n x.data_ptr<float>(), K,\n &beta,\n y.data_ptr<float>(), N);\n scale_bias_cuda(y, bias, static_cast<float>(1.0 + scaling_factor));\n return y;\n}\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <ATen/cuda/CUDAContext.h>\n\n__global__ void scale_bias_kernel4_2d(float4* __restrict__ y4, const float4* __restrict__ b4, int rows, int out4, float s) {\n int c4 = blockIdx.x * blockDim.x + threadIdx.x;\n int r = blockIdx.y;\n if (c4 < out4) {\n long long idx = (long long)r * out4 + c4;\n float4 v = y4[idx];\n float4 b = b4[c4];\n v.x = (v.x + b.x) * s;\n v.y = (v.y + b.y) * s;\n v.z = (v.z + b.z) * s;\n v.w = (v.w + b.w) * s;\n y4[idx] = v;\n }\n}\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s) {\n int rows = (int)y.size(0);\n int out = (int)y.size(1);\n int out4 = out / 4;\n dim3 block(256);\n dim3 grid((out4 + block.x - 1) / block.x, rows);\n auto stream = at::cuda::getCurrentCUDAStream();\n scale_bias_kernel4_2d<<<grid, block, 0, stream>>>(reinterpret_cast<float4*>(y.data_ptr<float>()), reinterpret_cast<const float4*>(bias.data_ptr<float>()), rows, out4, s);\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v4\",\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n extra_ldflags=[\"-lcublas\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 1210.0s turn · 10.0s 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#include <ATen/cuda/CUDAContext.h>\n#include <ATen/cuda/CUDABlas.h>\n#include <cublas_v2.h>\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s);\n\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n const int64_t M64 = x.size(0), K64 = x.size(1), N64 = weight.size(0);\n at::Tensor y = at::empty({M64, N64}, x.options());\n int M = (int)M64, N = (int)N64, K = (int)K64;\n float alpha = 1.0f, beta = 0.0f;\n cublasHandle_t handle = at::cuda::getCurrentCUDABlasHandle();\n cublasSetStream(handle, at::cuda::getCurrentCUDAStream());\n cublasSgemm(handle, CUBLAS_OP_T, CUBLAS_OP_N,\n N, M, K,\n &alpha,\n weight.data_ptr<float>(), K,\n x.data_ptr<float>(), K,\n &beta,\n y.data_ptr<float>(), N);\n scale_bias_cuda(y, bias, static_cast<float>(1.0 + scaling_factor));\n return y;\n}\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <ATen/cuda/CUDAContext.h>\n\n__global__ void scale_bias_kernel4_2d(float4* __restrict__ y4, const float4* __restrict__ b4, int rows, int out4, float s) {\n int c4 = blockIdx.x * blockDim.x + threadIdx.x;\n int r = blockIdx.y;\n if (c4 < out4) {\n long long idx = (long long)r * out4 + c4;\n float4 v = y4[idx];\n float4 b = b4[c4];\n v.x = (v.x + b.x) * s;\n v.y = (v.y + b.y) * s;\n v.z = (v.z + b.z) * s;\n v.w = (v.w + b.w) * s;\n y4[idx] = v;\n }\n}\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s) {\n int rows = (int)y.size(0);\n int out = (int)y.size(1);\n int out4 = out / 4;\n dim3 block(256);\n dim3 grid((out4 + block.x - 1) / block.x, rows);\n auto stream = at::cuda::getCurrentCUDAStream();\n scale_bias_kernel4_2d<<<grid, block, 0, stream>>>(reinterpret_cast<float4*>(y.data_ptr<float>()), reinterpret_cast<const float4*>(bias.data_ptr<float>()), rows, out4, s);\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v4c\",\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n extra_ldflags=[\"-lcublas\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
turn 1310.5s turn · 10.5s 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>\n#include <ATen/cuda/CUDAContext.h>\n#include <ATen/cuda/CUDABlas.h>\n#include <cublas_v2.h>\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s);\n\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n const int64_t M64 = x.size(0), K64 = x.size(1), N64 = weight.size(0);\n at::Tensor y = at::empty({M64, N64}, x.options());\n int M = (int)M64, N = (int)N64, K = (int)K64;\n float alpha = 1.0f, beta = 0.0f;\n cublasHandle_t handle = at::cuda::getCurrentCUDABlasHandle();\n cublasSetStream(handle, at::cuda::getCurrentCUDAStream());\n cublasSgemm(handle, CUBLAS_OP_T, CUBLAS_OP_N,\n N, M, K,\n &alpha,\n weight.data_ptr<float>(), K,\n x.data_ptr<float>(), K,\n &beta,\n y.data_ptr<float>(), N);\n scale_bias_cuda(y, bias, static_cast<float>(1.0 + scaling_factor));\n return y;\n}\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <ATen/cuda/CUDAContext.h>\n\n__global__ void scale_bias_kernel4_2d(float4* __restrict__ y4, const float4* __restrict__ b4, int rows, int out4, float s) {\n int c4 = blockIdx.x * blockDim.x + threadIdx.x;\n int r = blockIdx.y;\n if (c4 < out4) {\n long long idx = (long long)r * out4 + c4;\n float4 v = y4[idx];\n float4 b = b4[c4];\n v.x = (v.x + b.x) * s;\n v.y = (v.y + b.y) * s;\n v.z = (v.z + b.z) * s;\n v.w = (v.w + b.w) * s;\n y4[idx] = v;\n }\n}\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s) {\n int rows = (int)y.size(0);\n int out = (int)y.size(1);\n int out4 = out / 4;\n dim3 block(256);\n dim3 grid((out4 + block.x - 1) / block.x, rows);\n auto stream = at::cuda::getCurrentCUDAStream();\n scale_bias_kernel4_2d<<<grid, block, 0, stream>>>(reinterpret_cast<float4*>(y.data_ptr<float>()), reinterpret_cast<const float4*>(bias.data_ptr<float>()), rows, out4, s);\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_v4p\",\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n extra_ldflags=[\"-lcublas\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::empty 1355.0μs (100%) calls=1 --- Timing --- GPU time: 10951.46 μs [↓4.4μs ok] --- Memory Bandwidth --- DRAM BW: 3497.5/3350 GB/s (100.0%) read=2069.1 write=1428.3 GB/s Hit rates: L2=124.1% --- Compute Throughput --- Dominant pipe: FP32 util=82.6% Pipe util: FMA=82.6%, Tensor=0.0% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: MEMORY-BOUND --- Occupancy --- Achieved: 91.9% [↓0.1% REGRESSED] Eligible warps/cycle: 1.61 Launch: regs/thread=270, smem/blk=35840B, block=384, grid=69632 --- Memory Access Quality --- Global ld coalescing: 20.00 sectors/req (20.0x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 13451.0% #################### short_scoreboard 261.8% #################### mio_throttle 25.7% ##### --- Optimization Hints --- -> 13451% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=20.0 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=20.0x (ideal=1.0) -> 20x wasted DRAM BW. Make per-warp accesses contiguous. --- Delta vs Previous Iteration --- GPU time: 10955.84→10951.46μs (↓4.38) ok Occupancy: 91.97→91.86% (↓0.11) REGRESSED L2 hit%: 123.98→124.09% (↑0.12) ok
turn 1414.9s turn · 14.9s 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#include <ATen/cuda/CUDAContext.h>\n#include <ATen/cuda/CUDABlas.h>\n#include <cublas_v2.h>\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s);\n\nat::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {\n const int64_t M64 = x.size(0), K64 = x.size(1), N64 = weight.size(0);\n at::Tensor y = at::empty({M64, N64}, x.options());\n int M = (int)M64, N = (int)N64, K = (int)K64;\n float alpha = 1.0f, beta = 0.0f;\n cublasHandle_t handle = at::cuda::getCurrentCUDABlasHandle();\n cublasSetStream(handle, at::cuda::getCurrentCUDAStream());\n // Row-major y = x * weight^T. cuBLAS is column-major, so compute y^T = weight * x^T.\n cublasSgemm(handle, CUBLAS_OP_T, CUBLAS_OP_N,\n N, M, K,\n &alpha,\n weight.data_ptr<float>(), K,\n x.data_ptr<float>(), K,\n &beta,\n y.data_ptr<float>(), N);\n scale_bias_cuda(y, bias, static_cast<float>(1.0 + scaling_factor));\n return y;\n}\n'''\n\ncuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <ATen/cuda/CUDAContext.h>\n\n__global__ void scale_bias_kernel4_2d(float4* __restrict__ y4, const float4* __restrict__ b4, int rows, int out4, float s) {\n int c4 = blockIdx.x * blockDim.x + threadIdx.x;\n int r = blockIdx.y;\n if (c4 < out4) {\n long long idx = (long long)r * out4 + c4;\n float4 v = y4[idx];\n float4 b = b4[c4];\n v.x = (v.x + b.x) * s;\n v.y = (v.y + b.y) * s;\n v.z = (v.z + b.z) * s;\n v.w = (v.w + b.w) * s;\n y4[idx] = v;\n }\n}\n\nvoid scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s) {\n int rows = (int)y.size(0);\n int out = (int)y.size(1);\n int out4 = out / 4;\n dim3 block(256);\n dim3 grid((out4 + block.x - 1) / block.x, rows);\n auto stream = at::cuda::getCurrentCUDAStream();\n scale_bias_kernel4_2d<<<grid, block, 0, stream>>>(reinterpret_cast<float4*>(y.data_ptr<float>()), reinterpret_cast<const float4*>(bias.data_ptr<float>()), rows, out4, s);\n}\n'''\n\n_ext = load_inline(\n name=\"linear_scaled_ext_final\",\n cpp_sources=[cpp_src],\n cuda_sources=[cuda_src],\n functions=[\"linear_scaled_forward\"],\n with_cuda=True,\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n extra_ldflags=[\"-lcublas\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, in_features, out_features, scaling_factor):\n super(ModelNew, self).__init__()\n self.matmul = nn.Linear(in_features, out_features)\n self.scaling_factor = float(scaling_factor)\n def forward(self, x):\n return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)\n" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (5 / 5) correctness trials all passed. Kernel runtime: 11.10 μs Runtime stats: mean=11.10μs median=?μs std=0.36μs Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00 Memory: 673.03 MB peak (ref: 1185.03 MB, ratio: 0.5679x) Kernel launches: 1 (ref: 12, fusion ratio: 12.0) Energy: 1450.9 mJ/run (ref: 1450.84 mJ, ratio: 1.0x) SOL score: 1.0
final submitted kernel (84 lines, 2,925 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

cpp_src = r'''
#include <torch/extension.h>
#include <ATen/cuda/CUDAContext.h>
#include <ATen/cuda/CUDABlas.h>
#include <cublas_v2.h>

void scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s);

at::Tensor linear_scaled_forward(const at::Tensor& x, const at::Tensor& weight, const at::Tensor& bias, double scaling_factor) {
    const int64_t M64 = x.size(0), K64 = x.size(1), N64 = weight.size(0);
    at::Tensor y = at::empty({M64, N64}, x.options());
    int M = (int)M64, N = (int)N64, K = (int)K64;
    float alpha = 1.0f, beta = 0.0f;
    cublasHandle_t handle = at::cuda::getCurrentCUDABlasHandle();
    cublasSetStream(handle, at::cuda::getCurrentCUDAStream());
    // Row-major y = x * weight^T. cuBLAS is column-major, so compute y^T = weight * x^T.
    cublasSgemm(handle, CUBLAS_OP_T, CUBLAS_OP_N,
                N, M, K,
                &alpha,
                weight.data_ptr<float>(), K,
                x.data_ptr<float>(), K,
                &beta,
                y.data_ptr<float>(), N);
    scale_bias_cuda(y, bias, static_cast<float>(1.0 + scaling_factor));
    return y;
}
'''

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

__global__ void scale_bias_kernel4_2d(float4* __restrict__ y4, const float4* __restrict__ b4, int rows, int out4, float s) {
    int c4 = blockIdx.x * blockDim.x + threadIdx.x;
    int r = blockIdx.y;
    if (c4 < out4) {
        long long idx = (long long)r * out4 + c4;
        float4 v = y4[idx];
        float4 b = b4[c4];
        v.x = (v.x + b.x) * s;
        v.y = (v.y + b.y) * s;
        v.z = (v.z + b.z) * s;
        v.w = (v.w + b.w) * s;
        y4[idx] = v;
    }
}

void scale_bias_cuda(at::Tensor y, const at::Tensor& bias, float s) {
    int rows = (int)y.size(0);
    int out = (int)y.size(1);
    int out4 = out / 4;
    dim3 block(256);
    dim3 grid((out4 + block.x - 1) / block.x, rows);
    auto stream = at::cuda::getCurrentCUDAStream();
    scale_bias_kernel4_2d<<<grid, block, 0, stream>>>(reinterpret_cast<float4*>(y.data_ptr<float>()), reinterpret_cast<const float4*>(bias.data_ptr<float>()), rows, out4, s);
}
'''

_ext = load_inline(
    name="linear_scaled_ext_final",
    cpp_sources=[cpp_src],
    cuda_sources=[cuda_src],
    functions=["linear_scaled_forward"],
    with_cuda=True,
    extra_cflags=["-O3"],
    extra_cuda_cflags=["-O3"],
    extra_ldflags=["-lcublas"],
    verbose=False,
)

class ModelNew(nn.Module):
    def __init__(self, in_features, out_features, scaling_factor):
        super(ModelNew, self).__init__()
        self.matmul = nn.Linear(in_features, out_features)
        self.scaling_factor = float(scaling_factor)
    def forward(self, x):
        return _ext.linear_scaled_forward(x, self.matmul.weight, self.matmul.bias, self.scaling_factor)