correct
3_SSM2D_FusedBidirectionalCrossScan.py
started
2026-05-04T17:11:59Z
timingkernelbench.timing
kernel mean / median / std
5.01 / — / 49.80 μs
ref mean / median / std
0.23 / — / 0.41 μs
numerical precisioneval_kernel_against_ref
gpu memoryextended_metrics.measure_memory
kernel launches / fusiontorch.profiler
fusion ratio (ref / kernel)
57.00x
SOL (speed-of-light)nsight_hardware_counters
roofline / occupancynsight_hardware_counters
dram bandwidth
253.48 GB/s
warp stalls (top 5)nsight
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn
# Default ModelNew is PyTorch-only. run_and_check: use check_kernel=False with backend=cuda
# until the candidate file contains a real CUDA kernel (see kernel_static_checker).
class Model(nn.Module):
"""
Fused **2D bidirectional cross-scan** block for robotics **SSM-hybrid** backbones
(e.g. Vision Mamba / VMamba-style encoders on overhead maps, costmaps, or
multi-sensor tiles).
One forward fuses four fixed scan permutations of ``(H, W)`` into 1D sequences,
applies a **shared depthwise Conv1d** (lightweight stand-in for a selective SSM
along the scan), maps each result back to the grid, **sums** the four
directional contributions, and adds a **residual**.
Scan order (same spirit as 2D cross-scan / S2D):
LR — row-major left→right, rows top→bottom
RL — row-major right→left per row
TB — column-wise top→bottom, columns left→right
BT — flip vertical then same as TB
"""
def __init__(self, channels: int, kernel_size: int = 3):
super().__init__()
assert channels >= 1
assert kernel_size % 2 == 1, "use odd kernel_size for same-length conv1d"
self.channels = channels
pad = kernel_size // 2
self.dw_conv = nn.Conv1d(
channels,
channels,
kernel_size,
padding=pad,
groups=channels,
bias=True,
)
def _apply_scan_conv_unscan(self, x: torch.Tensor) -> torch.Tensor:
"""Shared depthwise conv along flattened 2D, then map back to (B,C,H,W)."""
B, C, H, W = x.shape
seq = x.flatten(2)
y = self.dw_conv(seq)
return y.view(B, C, H, W)
def forward(self, x: torch.Tensor) -> torch.Tensor:
"""
Args:
x: (B, C, H, W) spatial features (map / image / fused tile).
Returns:
(B, C, H, W) after fused four-way cross-scan + residual.
"""
B, C, H, W = x.shape
assert C == self.channels
acc = torch.zeros_like(x)
# LR: row-major
acc = acc + self._apply_scan_conv_unscan(x)
# RL: flip W, scan, unflip
xr = x.flip(dims=(-1,))
acc = acc + self._apply_scan_conv_unscan(xr).flip(dims=(-1,))
# TB: columns as sequences (permute to W,H, flatten)
xt = x.permute(0, 1, 3, 2).contiguous()
Bt, Ct, Wt, Ht = xt.shape
seq_t = xt.flatten(2)
yt = self.dw_conv(seq_t).view(Bt, Ct, Wt, Ht).permute(0, 1, 3, 2).contiguous()
acc = acc + yt
# BT: flip H then same TB path
xb = x.flip(dims=(-2,))
xbt = xb.permute(0, 1, 3, 2).contiguous()
Bb, Cb, Wb, Hb = xbt.shape
seq_b = xbt.flatten(2)
yb = self.dw_conv(seq_b).view(Bb, Cb, Wb, Hb).permute(0, 1, 3, 2).contiguous().flip(
dims=(-2,)
)
acc = acc + yb
return x + acc
class ModelNew(nn.Module):
"""KernelBench candidate entry point; default delegates to ``Model``."""
def __init__(self, channels: int, kernel_size: int = 3):
super().__init__()
self._impl = Model(channels, kernel_size=kernel_size)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self._impl(x)
batch_size = 4
channels = 64
height = 32
width = 32
kernel_size = 3
def get_inputs():
p = popcorn_pri
x = torch.randn(p.jitter_int(batch_size), channels, p.jitter_int(height), p.jitter_int(width))
return [x]
def get_init_inputs():
return [channels, kernel_size]
turn 011.0s turn · 11.0s LLM · 0.0s tools
call → get_gpu_specs
callget_gpu_specs
{}
result ← get_gpu_specs (ok)
okget_gpu_specs
GPU specs for NVIDIA H100 80GB HBM3:
total memory (runtime): 79.1 GB
spec entry: H100
GPU Architecture: Hopper
GPU Memory: 80GB
Memory Bandwidth: 3.35 TB/s
FP64 TFLOPS: 34
FP64 Tensor Core TFLOPS: 67
FP32 TFLOPS: 67
TF32 Tensor Core TFLOPS: 989 with sparsity
BFLOAT16 Tensore Core TFLOPS: 1979 with sparsity
FP16 Tensor Core TFLOPS: 1979 with sparsity
FP8 Tensor Core TFLOPS: 3958 with sparsity
INT8 Tensor Core TOPS: 3958 with sparsity
Register File Size: 64K 32-bit registers per SM
Maximum number of registers per thread: 255
Maximum number of thread blocks per SM: 32
Shared memory capacity per SM: 228 KB
Maximum shared memory per thread block: 227 KB
turn 1 · 1 tool call(s) · 20.6s turn · 20.6s LLM · 7,026 chars (click to expand)
turn 120.6s turn · 20.6s 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\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n return cross_scan_forward_cuda(x, weight, bias, kernel_size);\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n\n float v = x[idx] + 4.0f * b[cc];\n const float w0 = w[cc * 3 + 0];\n const float w1 = w[cc * 3 + 1];\n const float w2 = w[cc * 3 + 2];\n\n // LR row-major index\n int p = hh * W + ww;\n if (p > 0) v += w0 * x[base_bc + p - 1];\n v += w1 * x[base_bc + p];\n if (p + 1 < L) v += w2 * x[base_bc + p + 1];\n\n // RL: row-major over horizontally flipped image, then unflip\n int pf = hh * W + (W - 1 - ww);\n if (pf > 0) {\n int q = pf - 1;\n int hq = q / W;\n int wf = q - hq * W;\n v += w0 * x[base_bc + hq * W + (W - 1 - wf)];\n }\n v += w1 * x[idx];\n if (pf + 1 < L) {\n int q = pf + 1;\n int hq = q / W;\n int wf = q - hq * W;\n v += w2 * x[base_bc + hq * W + (W - 1 - wf)];\n }\n\n // TB: column-major index (w, h)\n int pt = ww * H + hh;\n if (pt > 0) {\n int q = pt - 1;\n int wq = q / H;\n int hq = q - wq * H;\n v += w0 * x[base_bc + hq * W + wq];\n }\n v += w1 * x[idx];\n if (pt + 1 < L) {\n int q = pt + 1;\n int wq = q / H;\n int hq = q - wq * H;\n v += w2 * x[base_bc + hq * W + wq];\n }\n\n // BT: column-major over vertically flipped image, then unflip\n int pb = ww * H + (H - 1 - hh);\n if (pb > 0) {\n int q = pb - 1;\n int wq = q / H;\n int hf = q - wq * H;\n v += w0 * x[base_bc + (H - 1 - hf) * W + wq];\n }\n v += w1 * x[idx];\n if (pb + 1 < L) {\n int q = pb + 1;\n int wq = q / H;\n int hf = q - wq * H;\n v += w2 * x[base_bc + (H - 1 - hf) * W + wq];\n }\n\n out[idx] = v;\n}\n\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W, int K) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n int pad = K >> 1;\n float v = x[idx] + 4.0f * b[cc];\n\n int p_lr = hh * W + ww;\n int p_rl = hh * W + (W - 1 - ww);\n int p_tb = ww * H + hh;\n int p_bt = ww * H + (H - 1 - hh);\n const float* wc = w + cc * K;\n for (int j = 0; j < K; ++j) {\n int off = j - pad;\n float wj = wc[j];\n int q;\n q = p_lr + off;\n if ((unsigned)q < (unsigned)L) v += wj * x[base_bc + q];\n q = p_rl + off;\n if ((unsigned)q < (unsigned)L) {\n int hq = q / W;\n int wf = q - hq * W;\n v += wj * x[base_bc + hq * W + (W - 1 - wf)];\n }\n q = p_tb + off;\n if ((unsigned)q < (unsigned)L) {\n int wq = q / H;\n int hq = q - wq * H;\n v += wj * x[base_bc + hq * W + wq];\n }\n q = p_bt + off;\n if ((unsigned)q < (unsigned)L) {\n int wq = q / H;\n int hf = q - wq * H;\n v += wj * x[base_bc + (H - 1 - hf) * W + wq];\n }\n }\n out[idx] = v;\n}\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n auto out = torch::empty_like(x);\n int B = (int)x.size(0);\n int C = (int)x.size(1);\n int H = (int)x.size(2);\n int W = (int)x.size(3);\n int N = B * C * H * W;\n int threads = 256;\n int blocks = (N + threads - 1) / threads;\n const float* xp = x.data_ptr<float>();\n const float* wp = weight.data_ptr<float>();\n const float* bp = bias.data_ptr<float>();\n float* op = out.data_ptr<float>();\n if ((int)kernel_size == 3) {\n cross_scan_k3_kernel<<<blocks, threads>>>(xp, wp, bp, op, B, C, H, W);\n } else {\n cross_scan_generic_kernel<<<blocks, threads>>>(xp, wp, bp, op, B, C, H, W, (int)kernel_size);\n }\n return out;\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"cross_scan_ext_v1\",\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=[\"cross_scan_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, channels: int, kernel_size: int = 3):\n super().__init__()\n assert channels >= 1\n assert kernel_size % 2 == 1\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(channels, channels, kernel_size, padding=pad, groups=channels, bias=True)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.cross_scan_forward(x, self.dw_conv.weight, self.dw_conv.bias, self.kernel_size)\n"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 2 · 1 tool call(s) · 11.9s turn · 11.9s LLM · 7,128 chars (click to expand)
turn 211.9s turn · 11.9s 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\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n return cross_scan_forward_cuda(x, weight, bias, kernel_size);\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n\n float v = x[idx] + 4.0f * b[cc];\n const float w0 = w[cc * 3 + 0];\n const float w1 = w[cc * 3 + 1];\n const float w2 = w[cc * 3 + 2];\n\n // LR row-major index\n int p = hh * W + ww;\n if (p > 0) v += w0 * x[base_bc + p - 1];\n v += w1 * x[base_bc + p];\n if (p + 1 < L) v += w2 * x[base_bc + p + 1];\n\n // RL: row-major over horizontally flipped image, then unflip\n int pf = hh * W + (W - 1 - ww);\n if (pf > 0) {\n int q = pf - 1;\n int hq = q / W;\n int wf = q - hq * W;\n v += w0 * x[base_bc + hq * W + (W - 1 - wf)];\n }\n v += w1 * x[idx];\n if (pf + 1 < L) {\n int q = pf + 1;\n int hq = q / W;\n int wf = q - hq * W;\n v += w2 * x[base_bc + hq * W + (W - 1 - wf)];\n }\n\n // TB: column-major index (w, h)\n int pt = ww * H + hh;\n if (pt > 0) {\n int q = pt - 1;\n int wq = q / H;\n int hq = q - wq * H;\n v += w0 * x[base_bc + hq * W + wq];\n }\n v += w1 * x[idx];\n if (pt + 1 < L) {\n int q = pt + 1;\n int wq = q / H;\n int hq = q - wq * H;\n v += w2 * x[base_bc + hq * W + wq];\n }\n\n // BT: column-major over vertically flipped image, then unflip\n int pb = ww * H + (H - 1 - hh);\n if (pb > 0) {\n int q = pb - 1;\n int wq = q / H;\n int hf = q - wq * H;\n v += w0 * x[base_bc + (H - 1 - hf) * W + wq];\n }\n v += w1 * x[idx];\n if (pb + 1 < L) {\n int q = pb + 1;\n int wq = q / H;\n int hf = q - wq * H;\n v += w2 * x[base_bc + (H - 1 - hf) * W + wq];\n }\n\n out[idx] = v;\n}\n\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W, int K) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n int pad = K >> 1;\n float v = x[idx] + 4.0f * b[cc];\n\n int p_lr = hh * W + ww;\n int p_rl = hh * W + (W - 1 - ww);\n int p_tb = ww * H + hh;\n int p_bt = ww * H + (H - 1 - hh);\n const float* wc = w + cc * K;\n for (int j = 0; j < K; ++j) {\n int off = j - pad;\n float wj = wc[j];\n int q;\n q = p_lr + off;\n if ((unsigned)q < (unsigned)L) v += wj * x[base_bc + q];\n q = p_rl + off;\n if ((unsigned)q < (unsigned)L) {\n int hq = q / W;\n int wf = q - hq * W;\n v += wj * x[base_bc + hq * W + (W - 1 - wf)];\n }\n q = p_tb + off;\n if ((unsigned)q < (unsigned)L) {\n int wq = q / H;\n int hq = q - wq * H;\n v += wj * x[base_bc + hq * W + wq];\n }\n q = p_bt + off;\n if ((unsigned)q < (unsigned)L) {\n int wq = q / H;\n int hf = q - wq * H;\n v += wj * x[base_bc + (H - 1 - hf) * W + wq];\n }\n }\n out[idx] = v;\n}\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n auto out = torch::empty_like(x);\n int B = (int)x.size(0);\n int C = (int)x.size(1);\n int H = (int)x.size(2);\n int W = (int)x.size(3);\n int N = B * C * H * W;\n int threads = 256;\n int blocks = (N + threads - 1) / threads;\n const float* xp = x.data_ptr<float>();\n const float* wp = weight.data_ptr<float>();\n const float* bp = bias.data_ptr<float>();\n float* op = out.data_ptr<float>();\n if ((int)kernel_size == 3) {\n cross_scan_k3_kernel<<<blocks, threads>>>(xp, wp, bp, op, B, C, H, W);\n } else {\n cross_scan_generic_kernel<<<blocks, threads>>>(xp, wp, bp, op, B, C, H, W, (int)kernel_size);\n }\n return out;\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"cross_scan_ext_v1\",\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=[\"cross_scan_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, channels: int, kernel_size: int = 3):\n super().__init__()\n assert channels >= 1\n assert kernel_size % 2 == 1\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(channels, channels, kernel_size, padding=pad, groups=channels, bias=True)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.cross_scan_forward(x, self.dw_conv.weight, self.dw_conv.bias, self.kernel_size)\n"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (5 / 5) trials all matched the reference.
Numerical precision: max_abs_err=2.86e-06 mean_abs_err=1.53e-07 max_rel_err=1.61e-01
turn 3 · 1 tool call(s) · 20.0s turn · 20.0s LLM · 7,921 chars (click to expand)
turn 320.0s turn · 20.0s 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\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n return cross_scan_forward_cuda(x, weight, bias, kernel_size);\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n\n float v = x[idx] + 4.0f * b[cc];\n const float w0 = w[cc * 3 + 0];\n const float w1 = w[cc * 3 + 1];\n const float w2 = w[cc * 3 + 2];\n\n int p = hh * W + ww;\n if (p > 0) v += w0 * x[base_bc + p - 1];\n v += w1 * x[base_bc + p];\n if (p + 1 < L) v += w2 * x[base_bc + p + 1];\n\n int pf = hh * W + (W - 1 - ww);\n if (pf > 0) {\n int q = pf - 1;\n int hq = q / W;\n int wf = q - hq * W;\n v += w0 * x[base_bc + hq * W + (W - 1 - wf)];\n }\n v += w1 * x[idx];\n if (pf + 1 < L) {\n int q = pf + 1;\n int hq = q / W;\n int wf = q - hq * W;\n v += w2 * x[base_bc + hq * W + (W - 1 - wf)];\n }\n\n int pt = ww * H + hh;\n if (pt > 0) {\n int q = pt - 1;\n int wq = q / H;\n int hq = q - wq * H;\n v += w0 * x[base_bc + hq * W + wq];\n }\n v += w1 * x[idx];\n if (pt + 1 < L) {\n int q = pt + 1;\n int wq = q / H;\n int hq = q - wq * H;\n v += w2 * x[base_bc + hq * W + wq];\n }\n\n int pb = ww * H + (H - 1 - hh);\n if (pb > 0) {\n int q = pb - 1;\n int wq = q / H;\n int hf = q - wq * H;\n v += w0 * x[base_bc + (H - 1 - hf) * W + wq];\n }\n v += w1 * x[idx];\n if (pb + 1 < L) {\n int q = pb + 1;\n int wq = q / H;\n int hf = q - wq * H;\n v += w2 * x[base_bc + (H - 1 - hf) * W + wq];\n }\n\n out[idx] = v;\n}\n\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W, int K) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n int pad = K >> 1;\n float v = x[idx] + 4.0f * b[cc];\n int p_lr = hh * W + ww;\n int p_rl = hh * W + (W - 1 - ww);\n int p_tb = ww * H + hh;\n int p_bt = ww * H + (H - 1 - hh);\n const float* wc = w + cc * K;\n for (int j = 0; j < K; ++j) {\n int off = j - pad;\n float wj = wc[j];\n int q;\n q = p_lr + off;\n if ((unsigned)q < (unsigned)L) v += wj * x[base_bc + q];\n q = p_rl + off;\n if ((unsigned)q < (unsigned)L) { int hq = q / W; int wf = q - hq * W; v += wj * x[base_bc + hq * W + (W - 1 - wf)]; }\n q = p_tb + off;\n if ((unsigned)q < (unsigned)L) { int wq = q / H; int hq = q - wq * H; v += wj * x[base_bc + hq * W + wq]; }\n q = p_bt + off;\n if ((unsigned)q < (unsigned)L) { int wq = q / H; int hf = q - wq * H; v += wj * x[base_bc + (H - 1 - hf) * W + wq]; }\n }\n out[idx] = v;\n}\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n auto out = torch::empty_like(x);\n int B = (int)x.size(0), C = (int)x.size(1), H = (int)x.size(2), W = (int)x.size(3);\n int N = B * C * H * W;\n int threads = 256;\n int blocks = (N + threads - 1) / threads;\n if ((int)kernel_size == 3) cross_scan_k3_kernel<<<blocks, threads>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), B, C, H, W);\n else cross_scan_generic_kernel<<<blocks, threads>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), B, C, H, W, (int)kernel_size);\n return out;\n}\n\"\"\"\n\n_ext = load_inline(name=\"cross_scan_ext_profile_v1\", cpp_sources=_cpp_src, cuda_sources=_cuda_src, functions=[\"cross_scan_forward\"], extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"], extra_cflags=[\"-O3\"], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, channels: int, kernel_size: int = 3):\n super().__init__()\n self.channels = channels\n self.kernel_size = kernel_size\n self.dw_conv = nn.Conv1d(channels, channels, kernel_size, padding=kernel_size//2, groups=channels, bias=True)\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.cross_scan_forward(x, self.dw_conv.weight, self.dw_conv.bias, self.kernel_size)\n"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::empty_like 2088.0μs (50%) calls=1
#2: aten::empty_strided 2060.0μs (50%) calls=1
--- Timing ---
GPU time: 6.43 μs
--- Memory Bandwidth ---
DRAM BW: 164.2/3350 GB/s (4.9%)
read=164.2 write=0.0 GB/s
Hit rates: L2=73.2%
--- Compute Throughput ---
Dominant pipe: FP32 util=25.2%
Pipe util: FMA=25.2%, Tensor=0.8%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: COMPUTE-BOUND
--- Occupancy ---
Achieved: 69.1%
Eligible warps/cycle: 2.72
Launch: regs/thread=32, smem/blk=1024B, block=256, grid=1024
--- Memory Access Quality ---
Global ld coalescing: 3.42 sectors/req (3.4x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
long_scoreboard 342.9% ####################
mio_throttle 322.8% ####################
short_scoreboard 70.0% #############
--- Optimization Hints ---
-> 343% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=3.4 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set.
-> Global load coalescing=3.4x (ideal=1.0) -> 3x 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 4 · 1 tool call(s) · 26.0s turn · 26.0s LLM · 10,025 chars (click to expand)
turn 426.0s turn · 26.0s LLM · 0.0s tools
reasoning
**Optimizing GPU performance**
I'm looking at optimizing my GPU time of 6.43. I think I can submit this but maybe I could implement 32 special to potentially reduce load. I'm considering precomputing weights per block in shared memory for efficiency. The strategy might involve load tiles with a max of 1024 threads, keeping in mind memory coalescing. Using 256 blocks with optimal occupancy could yield faster performance, probably around 5-10 microseconds due to the reduced load.
**Optimizing global loads**
I'm focusing on optimizing my global loads since caching is essential for reused tiles. With a block size of 1024 on the H100, I can fit 256 blocks with low register usage. I want to create a kernel for 32x32 with 1024 threads. The indexing needs mapping to shared indices. I plan to utilize `extern` for shared memory and eliminate divisions for better performance. Maybe having all threads share channel weights and loading them into shared first will enhance caching, requiring some coordination. Extra sync may be needed.
**Improving shared memory loading**
I think I should improve the way I'm handling shared memory by having `__shared__ float sw0...`. It seems like if thread 0 sets that up, I need a sync afterward to ensure everything's lined up correctly. But wait, I also need to sync after loading x as well. Maybe I can have the first four threads do the loading, then initiate a sync after that. This approach could enhance coordination and prevent any race conditions!
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n return cross_scan_forward_cuda(x, weight, bias, kernel_size);\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void cross_scan_32_k3_shared_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int C) {\n __shared__ float s[1024];\n __shared__ float sw[4];\n int tid = threadIdx.x;\n int tile = blockIdx.x; // b*C + c\n int c = tile % C;\n int base = tile << 10;\n s[tid] = x[base + tid];\n if (tid == 0) {\n sw[0] = w[c * 3 + 0];\n sw[1] = w[c * 3 + 1];\n sw[2] = w[c * 3 + 2];\n sw[3] = b[c];\n }\n __syncthreads();\n\n int ww = tid & 31;\n int hh = tid >> 5;\n float w0 = sw[0], w1 = sw[1], w2 = sw[2];\n float v = s[tid] + 4.0f * sw[3];\n\n // LR\n if (tid > 0) v += w0 * s[tid - 1];\n v += w1 * s[tid];\n if (tid < 1023) v += w2 * s[tid + 1];\n\n // RL\n int pf = (hh << 5) + (31 - ww);\n if (pf > 0) {\n int q = pf - 1;\n int hq = q >> 5;\n int wf = q & 31;\n v += w0 * s[(hq << 5) + (31 - wf)];\n }\n v += w1 * s[tid];\n if (pf < 1023) {\n int q = pf + 1;\n int hq = q >> 5;\n int wf = q & 31;\n v += w2 * s[(hq << 5) + (31 - wf)];\n }\n\n // TB\n int pt = (ww << 5) + hh;\n if (pt > 0) {\n int q = pt - 1;\n int wq = q >> 5;\n int hq = q & 31;\n v += w0 * s[(hq << 5) + wq];\n }\n v += w1 * s[tid];\n if (pt < 1023) {\n int q = pt + 1;\n int wq = q >> 5;\n int hq = q & 31;\n v += w2 * s[(hq << 5) + wq];\n }\n\n // BT\n int pb = (ww << 5) + (31 - hh);\n if (pb > 0) {\n int q = pb - 1;\n int wq = q >> 5;\n int hf = q & 31;\n v += w0 * s[((31 - hf) << 5) + wq];\n }\n v += w1 * s[tid];\n if (pb < 1023) {\n int q = pb + 1;\n int wq = q >> 5;\n int hf = q & 31;\n v += w2 * s[((31 - hf) << 5) + wq];\n }\n out[base + tid] = v;\n}\n\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n float v = x[idx] + 4.0f * b[cc];\n const float w0 = w[cc * 3 + 0], w1 = w[cc * 3 + 1], w2 = w[cc * 3 + 2];\n int p = hh * W + ww;\n if (p > 0) v += w0 * x[base_bc + p - 1];\n v += w1 * x[base_bc + p];\n if (p + 1 < L) v += w2 * x[base_bc + p + 1];\n int pf = hh * W + (W - 1 - ww);\n if (pf > 0) { int q=pf-1; int hq=q/W; int wf=q-hq*W; v += w0*x[base_bc+hq*W+(W-1-wf)]; }\n v += w1 * x[idx];\n if (pf + 1 < L) { int q=pf+1; int hq=q/W; int wf=q-hq*W; v += w2*x[base_bc+hq*W+(W-1-wf)]; }\n int pt = ww * H + hh;\n if (pt > 0) { int q=pt-1; int wq=q/H; int hq=q-wq*H; v += w0*x[base_bc+hq*W+wq]; }\n v += w1 * x[idx];\n if (pt + 1 < L) { int q=pt+1; int wq=q/H; int hq=q-wq*H; v += w2*x[base_bc+hq*W+wq]; }\n int pb = ww * H + (H - 1 - hh);\n if (pb > 0) { int q=pb-1; int wq=q/H; int hf=q-wq*H; v += w0*x[base_bc+(H-1-hf)*W+wq]; }\n v += w1 * x[idx];\n if (pb + 1 < L) { int q=pb+1; int wq=q/H; int hf=q-wq*H; v += w2*x[base_bc+(H-1-hf)*W+wq]; }\n out[idx] = v;\n}\n\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W, int K) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n int tmp = idx;\n int ww = tmp % W; tmp /= W; int hh = tmp % H; tmp /= H; int cc = tmp % C; int bc = tmp / C;\n int L = H * W; int base_bc = (bc * C + cc) * L; int pad = K >> 1;\n float v = x[idx] + 4.0f * b[cc];\n int p_lr = hh * W + ww, p_rl = hh * W + (W - 1 - ww), p_tb = ww * H + hh, p_bt = ww * H + (H - 1 - hh);\n const float* wc = w + cc * K;\n for (int j = 0; j < K; ++j) {\n int off = j - pad; float wj = wc[j]; int q;\n q=p_lr+off; if ((unsigned)q < (unsigned)L) v += wj*x[base_bc+q];\n q=p_rl+off; if ((unsigned)q < (unsigned)L) { int hq=q/W; int wf=q-hq*W; v += wj*x[base_bc+hq*W+(W-1-wf)]; }\n q=p_tb+off; if ((unsigned)q < (unsigned)L) { int wq=q/H; int hq=q-wq*H; v += wj*x[base_bc+hq*W+wq]; }\n q=p_bt+off; if ((unsigned)q < (unsigned)L) { int wq=q/H; int hf=q-wq*H; v += wj*x[base_bc+(H-1-hf)*W+wq]; }\n }\n out[idx]=v;\n}\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n auto out = torch::empty_like(x);\n int B=(int)x.size(0), C=(int)x.size(1), H=(int)x.size(2), W=(int)x.size(3);\n if ((int)kernel_size == 3 && H == 32 && W == 32) {\n cross_scan_32_k3_shared_kernel<<<B*C, 1024>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), C);\n } else {\n int N=B*C*H*W, threads=256, blocks=(N+threads-1)/threads;\n if ((int)kernel_size == 3) cross_scan_k3_kernel<<<blocks,threads>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), B,C,H,W);\n else cross_scan_generic_kernel<<<blocks,threads>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), B,C,H,W,(int)kernel_size);\n }\n return out;\n}\n\"\"\"\n\n_ext = load_inline(name=\"cross_scan_ext_v2\", cpp_sources=_cpp_src, cuda_sources=_cuda_src, functions=[\"cross_scan_forward\"], extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"], extra_cflags=[\"-O3\"], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, channels: int, kernel_size: int = 3):\n super().__init__()\n assert channels >= 1\n assert kernel_size % 2 == 1\n self.channels = channels\n self.kernel_size = kernel_size\n self.dw_conv = nn.Conv1d(channels, channels, kernel_size, padding=kernel_size//2, groups=channels, bias=True)\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.cross_scan_forward(x, self.dw_conv.weight, self.dw_conv.bias, self.kernel_size)\n"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 5 · 1 tool call(s) · 17.1s turn · 17.1s LLM · 7,136 chars (click to expand)
turn 517.1s turn · 17.1s 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\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n return cross_scan_forward_cuda(x, weight, bias, kernel_size);\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void cross_scan_32_k3_shared_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int C) {\n __shared__ float s[1024];\n __shared__ float sw[4];\n int tid = threadIdx.x;\n int tile = blockIdx.x;\n int c = tile % C;\n int base = tile << 10;\n s[tid] = x[base + tid];\n if (tid == 0) {\n sw[0] = w[c * 3 + 0];\n sw[1] = w[c * 3 + 1];\n sw[2] = w[c * 3 + 2];\n sw[3] = b[c];\n }\n __syncthreads();\n int ww = tid & 31;\n int hh = tid >> 5;\n float w0 = sw[0], w1 = sw[1], w2 = sw[2];\n float v = s[tid] + 4.0f * sw[3];\n if (tid > 0) v += w0 * s[tid - 1];\n v += w1 * s[tid];\n if (tid < 1023) v += w2 * s[tid + 1];\n int pf = (hh << 5) + (31 - ww);\n if (pf > 0) { int q = pf - 1; int hq = q >> 5; int wf = q & 31; v += w0 * s[(hq << 5) + (31 - wf)]; }\n v += w1 * s[tid];\n if (pf < 1023) { int q = pf + 1; int hq = q >> 5; int wf = q & 31; v += w2 * s[(hq << 5) + (31 - wf)]; }\n int pt = (ww << 5) + hh;\n if (pt > 0) { int q = pt - 1; int wq = q >> 5; int hq = q & 31; v += w0 * s[(hq << 5) + wq]; }\n v += w1 * s[tid];\n if (pt < 1023) { int q = pt + 1; int wq = q >> 5; int hq = q & 31; v += w2 * s[(hq << 5) + wq]; }\n int pb = (ww << 5) + (31 - hh);\n if (pb > 0) { int q = pb - 1; int wq = q >> 5; int hf = q & 31; v += w0 * s[((31 - hf) << 5) + wq]; }\n v += w1 * s[tid];\n if (pb < 1023) { int q = pb + 1; int wq = q >> 5; int hf = q & 31; v += w2 * s[((31 - hf) << 5) + wq]; }\n out[base + tid] = v;\n}\n\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x; int N = B*C*H*W; if (idx>=N) return;\n int tmp=idx; int ww=tmp%W; tmp/=W; int hh=tmp%H; tmp/=H; int cc=tmp%C; int bc=tmp/C; int L=H*W; int base_bc=(bc*C+cc)*L;\n float v=x[idx]+4.0f*b[cc]; const float w0=w[cc*3], w1=w[cc*3+1], w2=w[cc*3+2];\n int p=hh*W+ww; if(p>0)v+=w0*x[base_bc+p-1]; v+=w1*x[base_bc+p]; if(p+1<L)v+=w2*x[base_bc+p+1];\n int pf=hh*W+(W-1-ww); if(pf>0){int q=pf-1;int hq=q/W;int wf=q-hq*W;v+=w0*x[base_bc+hq*W+(W-1-wf)];} v+=w1*x[idx]; if(pf+1<L){int q=pf+1;int hq=q/W;int wf=q-hq*W;v+=w2*x[base_bc+hq*W+(W-1-wf)];}\n int pt=ww*H+hh; if(pt>0){int q=pt-1;int wq=q/H;int hq=q-wq*H;v+=w0*x[base_bc+hq*W+wq];} v+=w1*x[idx]; if(pt+1<L){int q=pt+1;int wq=q/H;int hq=q-wq*H;v+=w2*x[base_bc+hq*W+wq];}\n int pb=ww*H+(H-1-hh); if(pb>0){int q=pb-1;int wq=q/H;int hf=q-wq*H;v+=w0*x[base_bc+(H-1-hf)*W+wq];} v+=w1*x[idx]; if(pb+1<L){int q=pb+1;int wq=q/H;int hf=q-wq*H;v+=w2*x[base_bc+(H-1-hf)*W+wq];}\n out[idx]=v;\n}\n\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W,int K) {\n int idx=blockIdx.x*blockDim.x+threadIdx.x; int N=B*C*H*W; if(idx>=N)return; int tmp=idx; int ww=tmp%W; tmp/=W; int hh=tmp%H; tmp/=H; int cc=tmp%C; int bc=tmp/C; int L=H*W; int base_bc=(bc*C+cc)*L; int pad=K>>1; float v=x[idx]+4.0f*b[cc]; int p_lr=hh*W+ww,p_rl=hh*W+(W-1-ww),p_tb=ww*H+hh,p_bt=ww*H+(H-1-hh); const float* wc=w+cc*K;\n for(int j=0;j<K;++j){int off=j-pad;float wj=wc[j];int q; q=p_lr+off;if((unsigned)q<(unsigned)L)v+=wj*x[base_bc+q]; q=p_rl+off;if((unsigned)q<(unsigned)L){int hq=q/W;int wf=q-hq*W;v+=wj*x[base_bc+hq*W+(W-1-wf)];} q=p_tb+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hq=q-wq*H;v+=wj*x[base_bc+hq*W+wq];} q=p_bt+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hf=q-wq*H;v+=wj*x[base_bc+(H-1-hf)*W+wq];}}\n out[idx]=v;\n}\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n auto out=torch::empty_like(x); int B=(int)x.size(0), C=(int)x.size(1), H=(int)x.size(2), W=(int)x.size(3);\n if((int)kernel_size==3 && H==32 && W==32) cross_scan_32_k3_shared_kernel<<<B*C,1024>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),C);\n else {int N=B*C*H*W, threads=256, blocks=(N+threads-1)/threads; if((int)kernel_size==3) cross_scan_k3_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W); else cross_scan_generic_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W,(int)kernel_size);} return out;\n}\n\"\"\"\n_ext=load_inline(name=\"cross_scan_ext_v2\", cpp_sources=_cpp_src, cuda_sources=_cuda_src, functions=[\"cross_scan_forward\"], extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"], extra_cflags=[\"-O3\"], verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self, channels:int, kernel_size:int=3):\n super().__init__(); assert channels>=1; assert kernel_size%2==1; self.channels=channels; self.kernel_size=kernel_size; self.dw_conv=nn.Conv1d(channels,channels,kernel_size,padding=kernel_size//2,groups=channels,bias=True)\n def forward(self,x:torch.Tensor)->torch.Tensor:\n return _ext.cross_scan_forward(x,self.dw_conv.weight,self.dw_conv.bias,self.kernel_size)\n"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (5 / 5) trials all matched the reference.
Numerical precision: max_abs_err=2.86e-06 mean_abs_err=1.54e-07 max_rel_err=1.61e-01
turn 6 · 1 tool call(s) · 11.4s turn · 11.4s LLM · 7,932 chars (click to expand)
turn 611.4s turn · 11.4s 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\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) { return cross_scan_forward_cuda(x, weight, bias, kernel_size); }\n\"\"\"\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__global__ void cross_scan_32_k3_shared_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int C) {\n __shared__ float s[1024]; __shared__ float sw[4]; int tid=threadIdx.x; int tile=blockIdx.x; int c=tile%C; int base=tile<<10; s[tid]=x[base+tid]; if(tid==0){sw[0]=w[c*3];sw[1]=w[c*3+1];sw[2]=w[c*3+2];sw[3]=b[c];} __syncthreads(); int ww=tid&31; int hh=tid>>5; float w0=sw[0],w1=sw[1],w2=sw[2]; float v=s[tid]+4.0f*sw[3]; if(tid>0)v+=w0*s[tid-1]; v+=w1*s[tid]; if(tid<1023)v+=w2*s[tid+1]; int pf=(hh<<5)+(31-ww); if(pf>0){int q=pf-1;int hq=q>>5;int wf=q&31;v+=w0*s[(hq<<5)+(31-wf)];} v+=w1*s[tid]; if(pf<1023){int q=pf+1;int hq=q>>5;int wf=q&31;v+=w2*s[(hq<<5)+(31-wf)];} int pt=(ww<<5)+hh; if(pt>0){int q=pt-1;int wq=q>>5;int hq=q&31;v+=w0*s[(hq<<5)+wq];} v+=w1*s[tid]; if(pt<1023){int q=pt+1;int wq=q>>5;int hq=q&31;v+=w2*s[(hq<<5)+wq];} int pb=(ww<<5)+(31-hh); if(pb>0){int q=pb-1;int wq=q>>5;int hf=q&31;v+=w0*s[((31-hf)<<5)+wq];} v+=w1*s[tid]; if(pb<1023){int q=pb+1;int wq=q>>5;int hf=q&31;v+=w2*s[((31-hf)<<5)+wq];} out[base+tid]=v;\n}\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;float v=x[idx]+4.0f*b[cc];const float w0=w[cc*3],w1=w[cc*3+1],w2=w[cc*3+2];int p=hh*W+ww;if(p>0)v+=w0*x[base_bc+p-1];v+=w1*x[base_bc+p];if(p+1<L)v+=w2*x[base_bc+p+1];int pf=hh*W+(W-1-ww);if(pf>0){int q=pf-1;int hq=q/W;int wf=q-hq*W;v+=w0*x[base_bc+hq*W+(W-1-wf)];}v+=w1*x[idx];if(pf+1<L){int q=pf+1;int hq=q/W;int wf=q-hq*W;v+=w2*x[base_bc+hq*W+(W-1-wf)];}int pt=ww*H+hh;if(pt>0){int q=pt-1;int wq=q/H;int hq=q-wq*H;v+=w0*x[base_bc+hq*W+wq];}v+=w1*x[idx];if(pt+1<L){int q=pt+1;int wq=q/H;int hq=q-wq*H;v+=w2*x[base_bc+hq*W+wq];}int pb=ww*H+(H-1-hh);if(pb>0){int q=pb-1;int wq=q/H;int hf=q-wq*H;v+=w0*x[base_bc+(H-1-hf)*W+wq];}v+=w1*x[idx];if(pb+1<L){int q=pb+1;int wq=q/H;int hf=q-wq*H;v+=w2*x[base_bc+(H-1-hf)*W+wq];}out[idx]=v;}\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W,int K){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;int pad=K>>1;float v=x[idx]+4.0f*b[cc];int p_lr=hh*W+ww,p_rl=hh*W+(W-1-ww),p_tb=ww*H+hh,p_bt=ww*H+(H-1-hh);const float* wc=w+cc*K;for(int j=0;j<K;++j){int off=j-pad;float wj=wc[j];int q;q=p_lr+off;if((unsigned)q<(unsigned)L)v+=wj*x[base_bc+q];q=p_rl+off;if((unsigned)q<(unsigned)L){int hq=q/W;int wf=q-hq*W;v+=wj*x[base_bc+hq*W+(W-1-wf)];}q=p_tb+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hq=q-wq*H;v+=wj*x[base_bc+hq*W+wq];}q=p_bt+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hf=q-wq*H;v+=wj*x[base_bc+(H-1-hf)*W+wq];}}out[idx]=v;}\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size){auto out=torch::empty_like(x);int B=(int)x.size(0),C=(int)x.size(1),H=(int)x.size(2),W=(int)x.size(3);if((int)kernel_size==3&&H==32&&W==32)cross_scan_32_k3_shared_kernel<<<B*C,1024>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),C);else{int N=B*C*H*W,threads=256,blocks=(N+threads-1)/threads;if((int)kernel_size==3)cross_scan_k3_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W);else cross_scan_generic_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W,(int)kernel_size);}return out;}\n\"\"\"\n_ext=load_inline(name=\"cross_scan_ext_v2p\", cpp_sources=_cpp_src, cuda_sources=_cuda_src, functions=[\"cross_scan_forward\"], extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"], extra_cflags=[\"-O3\"], verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self, channels:int, kernel_size:int=3):\n super().__init__(); self.channels=channels; self.kernel_size=kernel_size; self.dw_conv=nn.Conv1d(channels,channels,kernel_size,padding=kernel_size//2,groups=channels,bias=True)\n def forward(self,x:torch.Tensor)->torch.Tensor:\n return _ext.cross_scan_forward(x,self.dw_conv.weight,self.dw_conv.bias,self.kernel_size)\n"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::empty_like 4372.0μs (50%) calls=1
#2: aten::empty_strided 4344.0μs (50%) calls=1
--- Timing ---
GPU time: 4.42 μs [↓2.0μs ok]
--- Memory Bandwidth ---
DRAM BW: 238.7/3350 GB/s (7.1%) [↑2.2% ok]
read=238.7 write=0.0 GB/s
Hit rates: L2=67.6%
--- Compute Throughput ---
Dominant pipe: FP32 util=11.3% [↓13.9% REGRESSED]
Pipe util: FMA=11.3%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: COMPUTE-BOUND
--- Occupancy ---
Achieved: 87.1% [↑18.0% ok]
Eligible warps/cycle: 2.31
Launch: regs/thread=19, smem/blk=5248B, block=1024, grid=256
--- Memory Access Quality ---
Global ld coalescing: 3.67 sectors/req (3.7x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
long_scoreboard 813.0% ####################
mio_throttle 570.2% ####################
short_scoreboard 119.1% ####################
--- Optimization Hints ---
-> 813% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=3.7 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set.
-> Global load coalescing=3.7x (ideal=1.0) -> 4x 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: 6.43→4.42μs (↓2.02) ok
DRAM BW%: 4.90→7.13% (↑2.22) ok
Compute%: 25.20→11.34% (↓13.85) REGRESSED
Occupancy: 69.08→87.12% (↑18.05) ok
Eligible warps/cyc: 2.72→2.31 (↓0.41) REGRESSED
Ld sectors/req: 3.42→3.67 (↑0.25) REGRESSED
L2 hit%: 73.23→67.65% (↓5.58) REGRESSED
turn 7 · 1 tool call(s) · 24.7s turn · 24.7s LLM · 6,506 chars (click to expand)
turn 724.7s turn · 24.7s 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_cpp_src=r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size){return cross_scan_forward_cuda(x,weight,bias,kernel_size);}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__global__ void cross_scan_32_k3_shared_opt_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int C){\n __shared__ float s[1024]; __shared__ float sw[4];\n int tid=threadIdx.x; int tile=blockIdx.x; int c=tile%C; int base=tile<<10;\n s[tid]=x[base+tid];\n if(tid==0){sw[0]=w[c*3]; sw[1]=w[c*3+1]; sw[2]=w[c*3+2]; sw[3]=b[c];}\n __syncthreads();\n int ww=tid&31; int hh=tid>>5;\n float w0=sw[0], w1=sw[1], w2=sw[2]; float wh=w0+w2;\n float v=4.0f*sw[3] + (1.0f+4.0f*w1)*s[tid];\n if(ww>0 && ww<31){\n v += wh * (s[tid-1] + s[tid+1]);\n }else{\n if(tid>0) v += w0*s[tid-1];\n if(tid<1023) v += w2*s[tid+1];\n int pf=(hh<<5)+(31-ww);\n if(pf>0){int q=pf-1; int hq=q>>5; int wf=q&31; v += w0*s[(hq<<5)+(31-wf)];}\n if(pf<1023){int q=pf+1; int hq=q>>5; int wf=q&31; v += w2*s[(hq<<5)+(31-wf)];}\n }\n if(hh>0 && hh<31){\n v += wh * (s[tid-32] + s[tid+32]);\n }else{\n int pt=(ww<<5)+hh;\n if(pt>0){int q=pt-1; int wq=q>>5; int hq=q&31; v += w0*s[(hq<<5)+wq];}\n if(pt<1023){int q=pt+1; int wq=q>>5; int hq=q&31; v += w2*s[(hq<<5)+wq];}\n int pb=(ww<<5)+(31-hh);\n if(pb>0){int q=pb-1; int wq=q>>5; int hf=q&31; v += w0*s[((31-hf)<<5)+wq];}\n if(pb<1023){int q=pb+1; int wq=q>>5; int hf=q&31; v += w2*s[((31-hf)<<5)+wq];}\n }\n out[base+tid]=v;\n}\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;float v=x[idx]+4.0f*b[cc];const float w0=w[cc*3],w1=w[cc*3+1],w2=w[cc*3+2];int p=hh*W+ww;if(p>0)v+=w0*x[base_bc+p-1];v+=w1*x[base_bc+p];if(p+1<L)v+=w2*x[base_bc+p+1];int pf=hh*W+(W-1-ww);if(pf>0){int q=pf-1;int hq=q/W;int wf=q-hq*W;v+=w0*x[base_bc+hq*W+(W-1-wf)];}v+=w1*x[idx];if(pf+1<L){int q=pf+1;int hq=q/W;int wf=q-hq*W;v+=w2*x[base_bc+hq*W+(W-1-wf)];}int pt=ww*H+hh;if(pt>0){int q=pt-1;int wq=q/H;int hq=q-wq*H;v+=w0*x[base_bc+hq*W+wq];}v+=w1*x[idx];if(pt+1<L){int q=pt+1;int wq=q/H;int hq=q-wq*H;v+=w2*x[base_bc+hq*W+wq];}int pb=ww*H+(H-1-hh);if(pb>0){int q=pb-1;int wq=q/H;int hf=q-wq*H;v+=w0*x[base_bc+(H-1-hf)*W+wq];}v+=w1*x[idx];if(pb+1<L){int q=pb+1;int wq=q/H;int hf=q-wq*H;v+=w2*x[base_bc+(H-1-hf)*W+wq];}out[idx]=v;}\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W,int K){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;int pad=K>>1;float v=x[idx]+4.0f*b[cc];int p_lr=hh*W+ww,p_rl=hh*W+(W-1-ww),p_tb=ww*H+hh,p_bt=ww*H+(H-1-hh);const float* wc=w+cc*K;for(int j=0;j<K;++j){int off=j-pad;float wj=wc[j];int q;q=p_lr+off;if((unsigned)q<(unsigned)L)v+=wj*x[base_bc+q];q=p_rl+off;if((unsigned)q<(unsigned)L){int hq=q/W;int wf=q-hq*W;v+=wj*x[base_bc+hq*W+(W-1-wf)];}q=p_tb+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hq=q-wq*H;v+=wj*x[base_bc+hq*W+wq];}q=p_bt+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hf=q-wq*H;v+=wj*x[base_bc+(H-1-hf)*W+wq];}}out[idx]=v;}\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x,torch::Tensor weight,torch::Tensor bias,int64_t kernel_size){auto out=torch::empty_like(x);int B=(int)x.size(0),C=(int)x.size(1),H=(int)x.size(2),W=(int)x.size(3);if((int)kernel_size==3&&H==32&&W==32)cross_scan_32_k3_shared_opt_kernel<<<B*C,1024>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),C);else{int N=B*C*H*W,threads=256,blocks=(N+threads-1)/threads;if((int)kernel_size==3)cross_scan_k3_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W);else cross_scan_generic_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W,(int)kernel_size);}return out;}\n\"\"\"\n_ext=load_inline(name=\"cross_scan_ext_v3\",cpp_sources=_cpp_src,cuda_sources=_cuda_src,functions=[\"cross_scan_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,channels:int,kernel_size:int=3):\n super().__init__(); assert channels>=1; assert kernel_size%2==1; self.channels=channels; self.kernel_size=kernel_size; self.dw_conv=nn.Conv1d(channels,channels,kernel_size,padding=kernel_size//2,groups=channels,bias=True)\n def forward(self,x:torch.Tensor)->torch.Tensor:\n return _ext.cross_scan_forward(x,self.dw_conv.weight,self.dw_conv.bias,self.kernel_size)\n"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 8 · 1 tool call(s) · 14.1s turn · 14.1s LLM · 6,354 chars (click to expand)
turn 814.1s turn · 14.1s 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_cpp_src=r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size){return cross_scan_forward_cuda(x,weight,bias,kernel_size);}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__global__ void cross_scan_32_k3_shared_opt_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int C){\n __shared__ float s[1024]; __shared__ float sw[4]; int tid=threadIdx.x; int tile=blockIdx.x; int c=tile%C; int base=tile<<10; s[tid]=x[base+tid]; if(tid==0){sw[0]=w[c*3];sw[1]=w[c*3+1];sw[2]=w[c*3+2];sw[3]=b[c];} __syncthreads(); int ww=tid&31; int hh=tid>>5; float w0=sw[0],w1=sw[1],w2=sw[2]; float wh=w0+w2; float v=4.0f*sw[3]+(1.0f+4.0f*w1)*s[tid]; if(ww>0&&ww<31){v+=wh*(s[tid-1]+s[tid+1]);}else{if(tid>0)v+=w0*s[tid-1]; if(tid<1023)v+=w2*s[tid+1]; int pf=(hh<<5)+(31-ww); if(pf>0){int q=pf-1;int hq=q>>5;int wf=q&31;v+=w0*s[(hq<<5)+(31-wf)];} if(pf<1023){int q=pf+1;int hq=q>>5;int wf=q&31;v+=w2*s[(hq<<5)+(31-wf)];}} if(hh>0&&hh<31){v+=wh*(s[tid-32]+s[tid+32]);}else{int pt=(ww<<5)+hh; if(pt>0){int q=pt-1;int wq=q>>5;int hq=q&31;v+=w0*s[(hq<<5)+wq];} if(pt<1023){int q=pt+1;int wq=q>>5;int hq=q&31;v+=w2*s[(hq<<5)+wq];} int pb=(ww<<5)+(31-hh); if(pb>0){int q=pb-1;int wq=q>>5;int hf=q&31;v+=w0*s[((31-hf)<<5)+wq];} if(pb<1023){int q=pb+1;int wq=q>>5;int hf=q&31;v+=w2*s[((31-hf)<<5)+wq];}} out[base+tid]=v;\n}\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;float v=x[idx]+4.0f*b[cc];const float w0=w[cc*3],w1=w[cc*3+1],w2=w[cc*3+2];int p=hh*W+ww;if(p>0)v+=w0*x[base_bc+p-1];v+=w1*x[base_bc+p];if(p+1<L)v+=w2*x[base_bc+p+1];int pf=hh*W+(W-1-ww);if(pf>0){int q=pf-1;int hq=q/W;int wf=q-hq*W;v+=w0*x[base_bc+hq*W+(W-1-wf)];}v+=w1*x[idx];if(pf+1<L){int q=pf+1;int hq=q/W;int wf=q-hq*W;v+=w2*x[base_bc+hq*W+(W-1-wf)];}int pt=ww*H+hh;if(pt>0){int q=pt-1;int wq=q/H;int hq=q-wq*H;v+=w0*x[base_bc+hq*W+wq];}v+=w1*x[idx];if(pt+1<L){int q=pt+1;int wq=q/H;int hq=q-wq*H;v+=w2*x[base_bc+hq*W+wq];}int pb=ww*H+(H-1-hh);if(pb>0){int q=pb-1;int wq=q/H;int hf=q-wq*H;v+=w0*x[base_bc+(H-1-hf)*W+wq];}v+=w1*x[idx];if(pb+1<L){int q=pb+1;int wq=q/H;int hf=q-wq*H;v+=w2*x[base_bc+(H-1-hf)*W+wq];}out[idx]=v;}\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W,int K){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;int pad=K>>1;float v=x[idx]+4.0f*b[cc];int p_lr=hh*W+ww,p_rl=hh*W+(W-1-ww),p_tb=ww*H+hh,p_bt=ww*H+(H-1-hh);const float* wc=w+cc*K;for(int j=0;j<K;++j){int off=j-pad;float wj=wc[j];int q;q=p_lr+off;if((unsigned)q<(unsigned)L)v+=wj*x[base_bc+q];q=p_rl+off;if((unsigned)q<(unsigned)L){int hq=q/W;int wf=q-hq*W;v+=wj*x[base_bc+hq*W+(W-1-wf)];}q=p_tb+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hq=q-wq*H;v+=wj*x[base_bc+hq*W+wq];}q=p_bt+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hf=q-wq*H;v+=wj*x[base_bc+(H-1-hf)*W+wq];}}out[idx]=v;}\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x,torch::Tensor weight,torch::Tensor bias,int64_t kernel_size){auto out=torch::empty_like(x);int B=(int)x.size(0),C=(int)x.size(1),H=(int)x.size(2),W=(int)x.size(3);if((int)kernel_size==3&&H==32&&W==32)cross_scan_32_k3_shared_opt_kernel<<<B*C,1024>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),C);else{int N=B*C*H*W,threads=256,blocks=(N+threads-1)/threads;if((int)kernel_size==3)cross_scan_k3_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W);else cross_scan_generic_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W,(int)kernel_size);}return out;}\n\"\"\"\n_ext=load_inline(name=\"cross_scan_ext_v3\",cpp_sources=_cpp_src,cuda_sources=_cuda_src,functions=[\"cross_scan_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,channels:int,kernel_size:int=3):\n super().__init__(); assert channels>=1; assert kernel_size%2==1; self.channels=channels; self.kernel_size=kernel_size; self.dw_conv=nn.Conv1d(channels,channels,kernel_size,padding=kernel_size//2,groups=channels,bias=True)\n def forward(self,x:torch.Tensor)->torch.Tensor:\n return _ext.cross_scan_forward(x,self.dw_conv.weight,self.dw_conv.bias,self.kernel_size)\n"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (5 / 5) trials all matched the reference.
Numerical precision: max_abs_err=1.91e-06 mean_abs_err=1.05e-07 max_rel_err=1.03e-01
turn 9 · 1 tool call(s) · 13.0s turn · 13.0s LLM · 7,930 chars (click to expand)
turn 913.0s turn · 13.0s 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_cpp_src=r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size){return cross_scan_forward_cuda(x,weight,bias,kernel_size);}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__global__ void cross_scan_32_k3_shared_opt_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int C){__shared__ float s[1024];__shared__ float sw[4];int tid=threadIdx.x;int tile=blockIdx.x;int c=tile%C;int base=tile<<10;s[tid]=x[base+tid];if(tid==0){sw[0]=w[c*3];sw[1]=w[c*3+1];sw[2]=w[c*3+2];sw[3]=b[c];}__syncthreads();int ww=tid&31;int hh=tid>>5;float w0=sw[0],w1=sw[1],w2=sw[2];float wh=w0+w2;float v=4.0f*sw[3]+(1.0f+4.0f*w1)*s[tid];if(ww>0&&ww<31){v+=wh*(s[tid-1]+s[tid+1]);}else{if(tid>0)v+=w0*s[tid-1];if(tid<1023)v+=w2*s[tid+1];int pf=(hh<<5)+(31-ww);if(pf>0){int q=pf-1;int hq=q>>5;int wf=q&31;v+=w0*s[(hq<<5)+(31-wf)];}if(pf<1023){int q=pf+1;int hq=q>>5;int wf=q&31;v+=w2*s[(hq<<5)+(31-wf)];}}if(hh>0&&hh<31){v+=wh*(s[tid-32]+s[tid+32]);}else{int pt=(ww<<5)+hh;if(pt>0){int q=pt-1;int wq=q>>5;int hq=q&31;v+=w0*s[(hq<<5)+wq];}if(pt<1023){int q=pt+1;int wq=q>>5;int hq=q&31;v+=w2*s[(hq<<5)+wq];}int pb=(ww<<5)+(31-hh);if(pb>0){int q=pb-1;int wq=q>>5;int hf=q&31;v+=w0*s[((31-hf)<<5)+wq];}if(pb<1023){int q=pb+1;int wq=q>>5;int hf=q&31;v+=w2*s[((31-hf)<<5)+wq];}}out[base+tid]=v;}\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;float v=x[idx]+4.0f*b[cc];const float w0=w[cc*3],w1=w[cc*3+1],w2=w[cc*3+2];int p=hh*W+ww;if(p>0)v+=w0*x[base_bc+p-1];v+=w1*x[base_bc+p];if(p+1<L)v+=w2*x[base_bc+p+1];int pf=hh*W+(W-1-ww);if(pf>0){int q=pf-1;int hq=q/W;int wf=q-hq*W;v+=w0*x[base_bc+hq*W+(W-1-wf)];}v+=w1*x[idx];if(pf+1<L){int q=pf+1;int hq=q/W;int wf=q-hq*W;v+=w2*x[base_bc+hq*W+(W-1-wf)];}int pt=ww*H+hh;if(pt>0){int q=pt-1;int wq=q/H;int hq=q-wq*H;v+=w0*x[base_bc+hq*W+wq];}v+=w1*x[idx];if(pt+1<L){int q=pt+1;int wq=q/H;int hq=q-wq*H;v+=w2*x[base_bc+hq*W+wq];}int pb=ww*H+(H-1-hh);if(pb>0){int q=pb-1;int wq=q/H;int hf=q-wq*H;v+=w0*x[base_bc+(H-1-hf)*W+wq];}v+=w1*x[idx];if(pb+1<L){int q=pb+1;int wq=q/H;int hf=q-wq*H;v+=w2*x[base_bc+(H-1-hf)*W+wq];}out[idx]=v;}\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W,int K){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;int pad=K>>1;float v=x[idx]+4.0f*b[cc];int p_lr=hh*W+ww,p_rl=hh*W+(W-1-ww),p_tb=ww*H+hh,p_bt=ww*H+(H-1-hh);const float* wc=w+cc*K;for(int j=0;j<K;++j){int off=j-pad;float wj=wc[j];int q;q=p_lr+off;if((unsigned)q<(unsigned)L)v+=wj*x[base_bc+q];q=p_rl+off;if((unsigned)q<(unsigned)L){int hq=q/W;int wf=q-hq*W;v+=wj*x[base_bc+hq*W+(W-1-wf)];}q=p_tb+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hq=q-wq*H;v+=wj*x[base_bc+hq*W+wq];}q=p_bt+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hf=q-wq*H;v+=wj*x[base_bc+(H-1-hf)*W+wq];}}out[idx]=v;}\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x,torch::Tensor weight,torch::Tensor bias,int64_t kernel_size){auto out=torch::empty_like(x);int B=(int)x.size(0),C=(int)x.size(1),H=(int)x.size(2),W=(int)x.size(3);if((int)kernel_size==3&&H==32&&W==32)cross_scan_32_k3_shared_opt_kernel<<<B*C,1024>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),C);else{int N=B*C*H*W,threads=256,blocks=(N+threads-1)/threads;if((int)kernel_size==3)cross_scan_k3_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W);else cross_scan_generic_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W,(int)kernel_size);}return out;}\n\"\"\"\n_ext=load_inline(name=\"cross_scan_ext_v3p\",cpp_sources=_cpp_src,cuda_sources=_cuda_src,functions=[\"cross_scan_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,channels:int,kernel_size:int=3):\n super().__init__();self.channels=channels;self.kernel_size=kernel_size;self.dw_conv=nn.Conv1d(channels,channels,kernel_size,padding=kernel_size//2,groups=channels,bias=True)\n def forward(self,x:torch.Tensor)->torch.Tensor:\n return _ext.cross_scan_forward(x,self.dw_conv.weight,self.dw_conv.bias,self.kernel_size)\n"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::empty_like 5376.0μs (50%) calls=1
#2: aten::empty_strided 5351.0μs (50%) calls=1
--- Timing ---
GPU time: 4.29 μs [↓0.1μs ok]
--- Memory Bandwidth ---
DRAM BW: 245.9/3350 GB/s (7.3%) [↑0.2% ok]
read=245.9 write=0.0 GB/s
Hit rates: L2=67.2%
--- Compute Throughput ---
Dominant pipe: FP32 util=7.5% [↓3.9% REGRESSED]
Pipe util: FMA=7.5%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: COMPUTE-BOUND
--- Occupancy ---
Achieved: 88.2% [↑1.1% ok]
Eligible warps/cycle: 1.55
Launch: regs/thread=17, smem/blk=5248B, block=1024, grid=256
--- Memory Access Quality ---
Global ld coalescing: 3.67 sectors/req (3.7x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
long_scoreboard 945.1% ####################
mio_throttle 774.6% ####################
short_scoreboard 372.6% ####################
--- Optimization Hints ---
-> 945% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=3.7 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set.
-> Global load coalescing=3.7x (ideal=1.0) -> 4x 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: 4.42→4.29μs (↓0.13) ok
DRAM BW%: 7.13→7.34% (↑0.21) ok
Compute%: 11.34→7.48% (↓3.86) REGRESSED
Occupancy: 87.12→88.19% (↑1.06) ok
Eligible warps/cyc: 2.31→1.55 (↓0.75) REGRESSED
L2 hit%: 67.65→67.22% (↓0.43) REGRESSED
turn 10 · 1 tool call(s) · 17.9s turn · 17.9s LLM · 7,204 chars (click to expand)
turn 1017.9s turn · 17.9s LLM · 0.0s tools
reasoning
**Optimizing kernel performance**
I need to create a loop with `r=0..3`, where `tid=t+r*256`. Then, I can compute the function and store the results. I’m thinking about shared loading all of it with one sync. This approach should help reduce per-block warps, but I’ll still have enough blocks to manage 2048 warps (256*8). I wonder if this will help lower the kernel overhead. Maybe I should profile it to see how it actually performs.
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n_cpp_src=r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size){return cross_scan_forward_cuda(x,weight,bias,kernel_size);}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__device__ __forceinline__ float compute32(const float* __restrict__ s, int tid, float w0, float w1, float w2, float bias){\n int ww=tid&31; int hh=tid>>5; float wh=w0+w2; float v=4.0f*bias+(1.0f+4.0f*w1)*s[tid];\n if(ww>0&&ww<31){v+=wh*(s[tid-1]+s[tid+1]);}else{if(tid>0)v+=w0*s[tid-1]; if(tid<1023)v+=w2*s[tid+1]; int pf=(hh<<5)+(31-ww); if(pf>0){int q=pf-1;int hq=q>>5;int wf=q&31;v+=w0*s[(hq<<5)+(31-wf)];} if(pf<1023){int q=pf+1;int hq=q>>5;int wf=q&31;v+=w2*s[(hq<<5)+(31-wf)];}}\n if(hh>0&&hh<31){v+=wh*(s[tid-32]+s[tid+32]);}else{int pt=(ww<<5)+hh; if(pt>0){int q=pt-1;int wq=q>>5;int hq=q&31;v+=w0*s[(hq<<5)+wq];} if(pt<1023){int q=pt+1;int wq=q>>5;int hq=q&31;v+=w2*s[(hq<<5)+wq];} int pb=(ww<<5)+(31-hh); if(pb>0){int q=pb-1;int wq=q>>5;int hf=q&31;v+=w0*s[((31-hf)<<5)+wq];} if(pb<1023){int q=pb+1;int wq=q>>5;int hf=q&31;v+=w2*s[((31-hf)<<5)+wq];}}\n return v;\n}\n__global__ void cross_scan_32_k3_256_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int C){\n __shared__ float s[1024]; __shared__ float sw[4]; int t=threadIdx.x; int tile=blockIdx.x; int c=tile%C; int base=tile<<10;\n s[t]=x[base+t]; s[t+256]=x[base+t+256]; s[t+512]=x[base+t+512]; s[t+768]=x[base+t+768];\n if(t==0){sw[0]=w[c*3];sw[1]=w[c*3+1];sw[2]=w[c*3+2];sw[3]=b[c];}\n __syncthreads(); float w0=sw[0],w1=sw[1],w2=sw[2],bias=sw[3];\n out[base+t]=compute32(s,t,w0,w1,w2,bias);\n out[base+t+256]=compute32(s,t+256,w0,w1,w2,bias);\n out[base+t+512]=compute32(s,t+512,w0,w1,w2,bias);\n out[base+t+768]=compute32(s,t+768,w0,w1,w2,bias);\n}\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;float v=x[idx]+4.0f*b[cc];const float w0=w[cc*3],w1=w[cc*3+1],w2=w[cc*3+2];int p=hh*W+ww;if(p>0)v+=w0*x[base_bc+p-1];v+=w1*x[base_bc+p];if(p+1<L)v+=w2*x[base_bc+p+1];int pf=hh*W+(W-1-ww);if(pf>0){int q=pf-1;int hq=q/W;int wf=q-hq*W;v+=w0*x[base_bc+hq*W+(W-1-wf)];}v+=w1*x[idx];if(pf+1<L){int q=pf+1;int hq=q/W;int wf=q-hq*W;v+=w2*x[base_bc+hq*W+(W-1-wf)];}int pt=ww*H+hh;if(pt>0){int q=pt-1;int wq=q/H;int hq=q-wq*H;v+=w0*x[base_bc+hq*W+wq];}v+=w1*x[idx];if(pt+1<L){int q=pt+1;int wq=q/H;int hq=q-wq*H;v+=w2*x[base_bc+hq*W+wq];}int pb=ww*H+(H-1-hh);if(pb>0){int q=pb-1;int wq=q/H;int hf=q-wq*H;v+=w0*x[base_bc+(H-1-hf)*W+wq];}v+=w1*x[idx];if(pb+1<L){int q=pb+1;int wq=q/H;int hf=q-wq*H;v+=w2*x[base_bc+(H-1-hf)*W+wq];}out[idx]=v;}\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W,int K){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;int pad=K>>1;float v=x[idx]+4.0f*b[cc];int p_lr=hh*W+ww,p_rl=hh*W+(W-1-ww),p_tb=ww*H+hh,p_bt=ww*H+(H-1-hh);const float* wc=w+cc*K;for(int j=0;j<K;++j){int off=j-pad;float wj=wc[j];int q;q=p_lr+off;if((unsigned)q<(unsigned)L)v+=wj*x[base_bc+q];q=p_rl+off;if((unsigned)q<(unsigned)L){int hq=q/W;int wf=q-hq*W;v+=wj*x[base_bc+hq*W+(W-1-wf)];}q=p_tb+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hq=q-wq*H;v+=wj*x[base_bc+hq*W+wq];}q=p_bt+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hf=q-wq*H;v+=wj*x[base_bc+(H-1-hf)*W+wq];}}out[idx]=v;}\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x,torch::Tensor weight,torch::Tensor bias,int64_t kernel_size){auto out=torch::empty_like(x);int B=(int)x.size(0),C=(int)x.size(1),H=(int)x.size(2),W=(int)x.size(3);if((int)kernel_size==3&&H==32&&W==32)cross_scan_32_k3_256_kernel<<<B*C,256>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),C);else{int N=B*C*H*W,threads=256,blocks=(N+threads-1)/threads;if((int)kernel_size==3)cross_scan_k3_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W);else cross_scan_generic_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W,(int)kernel_size);}return out;}\n\"\"\"\n_ext=load_inline(name=\"cross_scan_ext_v4\",cpp_sources=_cpp_src,cuda_sources=_cuda_src,functions=[\"cross_scan_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,channels:int,kernel_size:int=3):\n super().__init__(); assert channels>=1; assert kernel_size%2==1; self.channels=channels; self.kernel_size=kernel_size; self.dw_conv=nn.Conv1d(channels,channels,kernel_size,padding=kernel_size//2,groups=channels,bias=True)\n def forward(self,x:torch.Tensor)->torch.Tensor:\n return _ext.cross_scan_forward(x,self.dw_conv.weight,self.dw_conv.bias,self.kernel_size)\n"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 11 · 1 tool call(s) · 15.2s turn · 15.2s LLM · 6,680 chars (click to expand)
turn 1115.2s turn · 15.2s 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_cpp_src=r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size){return cross_scan_forward_cuda(x,weight,bias,kernel_size);}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__device__ __forceinline__ float compute32(const float* __restrict__ s,int tid,float w0,float w1,float w2,float bias){int ww=tid&31;int hh=tid>>5;float wh=w0+w2;float v=4.0f*bias+(1.0f+4.0f*w1)*s[tid];if(ww>0&&ww<31){v+=wh*(s[tid-1]+s[tid+1]);}else{if(tid>0)v+=w0*s[tid-1];if(tid<1023)v+=w2*s[tid+1];int pf=(hh<<5)+(31-ww);if(pf>0){int q=pf-1;int hq=q>>5;int wf=q&31;v+=w0*s[(hq<<5)+(31-wf)];}if(pf<1023){int q=pf+1;int hq=q>>5;int wf=q&31;v+=w2*s[(hq<<5)+(31-wf)];}}if(hh>0&&hh<31){v+=wh*(s[tid-32]+s[tid+32]);}else{int pt=(ww<<5)+hh;if(pt>0){int q=pt-1;int wq=q>>5;int hq=q&31;v+=w0*s[(hq<<5)+wq];}if(pt<1023){int q=pt+1;int wq=q>>5;int hq=q&31;v+=w2*s[(hq<<5)+wq];}int pb=(ww<<5)+(31-hh);if(pb>0){int q=pb-1;int wq=q>>5;int hf=q&31;v+=w0*s[((31-hf)<<5)+wq];}if(pb<1023){int q=pb+1;int wq=q>>5;int hf=q&31;v+=w2*s[((31-hf)<<5)+wq];}}return v;}\n__global__ void cross_scan_32_k3_256_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int C){__shared__ float s[1024];__shared__ float sw[4];int t=threadIdx.x;int tile=blockIdx.x;int c=tile%C;int base=tile<<10;s[t]=x[base+t];s[t+256]=x[base+t+256];s[t+512]=x[base+t+512];s[t+768]=x[base+t+768];if(t==0){sw[0]=w[c*3];sw[1]=w[c*3+1];sw[2]=w[c*3+2];sw[3]=b[c];}__syncthreads();float w0=sw[0],w1=sw[1],w2=sw[2],bias=sw[3];out[base+t]=compute32(s,t,w0,w1,w2,bias);out[base+t+256]=compute32(s,t+256,w0,w1,w2,bias);out[base+t+512]=compute32(s,t+512,w0,w1,w2,bias);out[base+t+768]=compute32(s,t+768,w0,w1,w2,bias);}\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;float v=x[idx]+4.0f*b[cc];const float w0=w[cc*3],w1=w[cc*3+1],w2=w[cc*3+2];int p=hh*W+ww;if(p>0)v+=w0*x[base_bc+p-1];v+=w1*x[base_bc+p];if(p+1<L)v+=w2*x[base_bc+p+1];int pf=hh*W+(W-1-ww);if(pf>0){int q=pf-1;int hq=q/W;int wf=q-hq*W;v+=w0*x[base_bc+hq*W+(W-1-wf)];}v+=w1*x[idx];if(pf+1<L){int q=pf+1;int hq=q/W;int wf=q-hq*W;v+=w2*x[base_bc+hq*W+(W-1-wf)];}int pt=ww*H+hh;if(pt>0){int q=pt-1;int wq=q/H;int hq=q-wq*H;v+=w0*x[base_bc+hq*W+wq];}v+=w1*x[idx];if(pt+1<L){int q=pt+1;int wq=q/H;int hq=q-wq*H;v+=w2*x[base_bc+hq*W+wq];}int pb=ww*H+(H-1-hh);if(pb>0){int q=pb-1;int wq=q/H;int hf=q-wq*H;v+=w0*x[base_bc+(H-1-hf)*W+wq];}v+=w1*x[idx];if(pb+1<L){int q=pb+1;int wq=q/H;int hf=q-wq*H;v+=w2*x[base_bc+(H-1-hf)*W+wq];}out[idx]=v;}\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W,int K){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;int pad=K>>1;float v=x[idx]+4.0f*b[cc];int p_lr=hh*W+ww,p_rl=hh*W+(W-1-ww),p_tb=ww*H+hh,p_bt=ww*H+(H-1-hh);const float* wc=w+cc*K;for(int j=0;j<K;++j){int off=j-pad;float wj=wc[j];int q;q=p_lr+off;if((unsigned)q<(unsigned)L)v+=wj*x[base_bc+q];q=p_rl+off;if((unsigned)q<(unsigned)L){int hq=q/W;int wf=q-hq*W;v+=wj*x[base_bc+hq*W+(W-1-wf)];}q=p_tb+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hq=q-wq*H;v+=wj*x[base_bc+hq*W+wq];}q=p_bt+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hf=q-wq*H;v+=wj*x[base_bc+(H-1-hf)*W+wq];}}out[idx]=v;}\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x,torch::Tensor weight,torch::Tensor bias,int64_t kernel_size){auto out=torch::empty_like(x);int B=(int)x.size(0),C=(int)x.size(1),H=(int)x.size(2),W=(int)x.size(3);if((int)kernel_size==3&&H==32&&W==32)cross_scan_32_k3_256_kernel<<<B*C,256>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),C);else{int N=B*C*H*W,threads=256,blocks=(N+threads-1)/threads;if((int)kernel_size==3)cross_scan_k3_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W);else cross_scan_generic_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W,(int)kernel_size);}return out;}\n\"\"\"\n_ext=load_inline(name=\"cross_scan_ext_v4\",cpp_sources=_cpp_src,cuda_sources=_cuda_src,functions=[\"cross_scan_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,channels:int,kernel_size:int=3):\n super().__init__(); assert channels>=1; assert kernel_size%2==1; self.channels=channels; self.kernel_size=kernel_size; self.dw_conv=nn.Conv1d(channels,channels,kernel_size,padding=kernel_size//2,groups=channels,bias=True)\n def forward(self,x:torch.Tensor)->torch.Tensor:\n return _ext.cross_scan_forward(x,self.dw_conv.weight,self.dw_conv.bias,self.kernel_size)\n"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (5 / 5) trials all matched the reference.
Numerical precision: max_abs_err=1.91e-06 mean_abs_err=9.99e-08 max_rel_err=1.03e-01
turn 12 · 1 tool call(s) · 23.0s turn · 23.0s LLM · 9,641 chars (click to expand)
turn 1223.0s turn · 23.0s LLM · 0.0s tools
reasoning
**Deciding on profiles and submission**
I’m considering whether to use profile v4 since we have limited turns. It looks like we need to submit after performing a static check. I might use both profile v4 and static check, but I wonder if we can run them in the same turn. There’s a possibility that submitting with v3 might be wiser if v4 is uncertain. Profiling v4 quickly could inform us about possible speed differences based on how it processes threads.
**Considering profiling and static checks**
I'm weighing whether to run a parallel static check and profile together. The code length concerns me, especially since I'm thinking of using profile v4. I wonder if v4 will actually improve performance or not. I might need to include a complex math formula to account for all interactions in the model, especially regarding boundary conditions. I’m also considering making adjustments for efficiency by using fewer blocks, which could enhance speed but might introduce register pressure rather than reducing overhead. So profiling seems essential here.
call → profile_kernel
callprofile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n_cpp_src=r\"\"\"\n#include <torch/extension.h>\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size){return cross_scan_forward_cuda(x,weight,bias,kernel_size);}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__device__ __forceinline__ float compute32(const float* __restrict__ s,int tid,float w0,float w1,float w2,float bias){int ww=tid&31;int hh=tid>>5;float wh=w0+w2;float v=4.0f*bias+(1.0f+4.0f*w1)*s[tid];if(ww>0&&ww<31){v+=wh*(s[tid-1]+s[tid+1]);}else{if(tid>0)v+=w0*s[tid-1];if(tid<1023)v+=w2*s[tid+1];int pf=(hh<<5)+(31-ww);if(pf>0){int q=pf-1;int hq=q>>5;int wf=q&31;v+=w0*s[(hq<<5)+(31-wf)];}if(pf<1023){int q=pf+1;int hq=q>>5;int wf=q&31;v+=w2*s[(hq<<5)+(31-wf)];}}if(hh>0&&hh<31){v+=wh*(s[tid-32]+s[tid+32]);}else{int pt=(ww<<5)+hh;if(pt>0){int q=pt-1;int wq=q>>5;int hq=q&31;v+=w0*s[(hq<<5)+wq];}if(pt<1023){int q=pt+1;int wq=q>>5;int hq=q&31;v+=w2*s[(hq<<5)+wq];}int pb=(ww<<5)+(31-hh);if(pb>0){int q=pb-1;int wq=q>>5;int hf=q&31;v+=w0*s[((31-hf)<<5)+wq];}if(pb<1023){int q=pb+1;int wq=q>>5;int hf=q&31;v+=w2*s[((31-hf)<<5)+wq];}}return v;}\n__global__ void cross_scan_32_k3_256_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int C){__shared__ float s[1024];__shared__ float sw[4];int t=threadIdx.x;int tile=blockIdx.x;int c=tile%C;int base=tile<<10;s[t]=x[base+t];s[t+256]=x[base+t+256];s[t+512]=x[base+t+512];s[t+768]=x[base+t+768];if(t==0){sw[0]=w[c*3];sw[1]=w[c*3+1];sw[2]=w[c*3+2];sw[3]=b[c];}__syncthreads();float w0=sw[0],w1=sw[1],w2=sw[2],bias=sw[3];out[base+t]=compute32(s,t,w0,w1,w2,bias);out[base+t+256]=compute32(s,t+256,w0,w1,w2,bias);out[base+t+512]=compute32(s,t+512,w0,w1,w2,bias);out[base+t+768]=compute32(s,t+768,w0,w1,w2,bias);}\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;float v=x[idx]+4.0f*b[cc];const float w0=w[cc*3],w1=w[cc*3+1],w2=w[cc*3+2];int p=hh*W+ww;if(p>0)v+=w0*x[base_bc+p-1];v+=w1*x[base_bc+p];if(p+1<L)v+=w2*x[base_bc+p+1];int pf=hh*W+(W-1-ww);if(pf>0){int q=pf-1;int hq=q/W;int wf=q-hq*W;v+=w0*x[base_bc+hq*W+(W-1-wf)];}v+=w1*x[idx];if(pf+1<L){int q=pf+1;int hq=q/W;int wf=q-hq*W;v+=w2*x[base_bc+hq*W+(W-1-wf)];}int pt=ww*H+hh;if(pt>0){int q=pt-1;int wq=q/H;int hq=q-wq*H;v+=w0*x[base_bc+hq*W+wq];}v+=w1*x[idx];if(pt+1<L){int q=pt+1;int wq=q/H;int hq=q-wq*H;v+=w2*x[base_bc+hq*W+wq];}int pb=ww*H+(H-1-hh);if(pb>0){int q=pb-1;int wq=q/H;int hf=q-wq*H;v+=w0*x[base_bc+(H-1-hf)*W+wq];}v+=w1*x[idx];if(pb+1<L){int q=pb+1;int wq=q/H;int hf=q-wq*H;v+=w2*x[base_bc+(H-1-hf)*W+wq];}out[idx]=v;}\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,const float* __restrict__ w,const float* __restrict__ b,float* __restrict__ out,int B,int C,int H,int W,int K){int idx=blockIdx.x*blockDim.x+threadIdx.x;int N=B*C*H*W;if(idx>=N)return;int tmp=idx;int ww=tmp%W;tmp/=W;int hh=tmp%H;tmp/=H;int cc=tmp%C;int bc=tmp/C;int L=H*W;int base_bc=(bc*C+cc)*L;int pad=K>>1;float v=x[idx]+4.0f*b[cc];int p_lr=hh*W+ww,p_rl=hh*W+(W-1-ww),p_tb=ww*H+hh,p_bt=ww*H+(H-1-hh);const float* wc=w+cc*K;for(int j=0;j<K;++j){int off=j-pad;float wj=wc[j];int q;q=p_lr+off;if((unsigned)q<(unsigned)L)v+=wj*x[base_bc+q];q=p_rl+off;if((unsigned)q<(unsigned)L){int hq=q/W;int wf=q-hq*W;v+=wj*x[base_bc+hq*W+(W-1-wf)];}q=p_tb+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hq=q-wq*H;v+=wj*x[base_bc+hq*W+wq];}q=p_bt+off;if((unsigned)q<(unsigned)L){int wq=q/H;int hf=q-wq*H;v+=wj*x[base_bc+(H-1-hf)*W+wq];}}out[idx]=v;}\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x,torch::Tensor weight,torch::Tensor bias,int64_t kernel_size){auto out=torch::empty_like(x);int B=(int)x.size(0),C=(int)x.size(1),H=(int)x.size(2),W=(int)x.size(3);if((int)kernel_size==3&&H==32&&W==32)cross_scan_32_k3_256_kernel<<<B*C,256>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),C);else{int N=B*C*H*W,threads=256,blocks=(N+threads-1)/threads;if((int)kernel_size==3)cross_scan_k3_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W);else cross_scan_generic_kernel<<<blocks,threads>>>(x.data_ptr<float>(),weight.data_ptr<float>(),bias.data_ptr<float>(),out.data_ptr<float>(),B,C,H,W,(int)kernel_size);}return out;}\n\"\"\"\n_ext=load_inline(name=\"cross_scan_ext_v4p\",cpp_sources=_cpp_src,cuda_sources=_cuda_src,functions=[\"cross_scan_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,channels:int,kernel_size:int=3):\n super().__init__();self.channels=channels;self.kernel_size=kernel_size;self.dw_conv=nn.Conv1d(channels,channels,kernel_size,padding=kernel_size//2,groups=channels,bias=True)\n def forward(self,x:torch.Tensor)->torch.Tensor:\n return _ext.cross_scan_forward(x,self.dw_conv.weight,self.dw_conv.bias,self.kernel_size)\n"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::empty_like 832.0μs (51%) calls=1
#2: aten::empty_strided 805.0μs (49%) calls=1
--- Timing ---
GPU time: 4.35 μs [↑0.1μs REGRESSED]
--- Memory Bandwidth ---
DRAM BW: 243.2/3350 GB/s (7.3%) [↓0.1% REGRESSED]
read=243.2 write=0.0 GB/s
Hit rates: L2=67.1%
--- Compute Throughput ---
Dominant pipe: FP32 util=5.4% [↓2.0% REGRESSED]
Pipe util: FMA=5.4%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: MEMORY-BOUND
--- Occupancy ---
Achieved: 23.3% [↓64.9% REGRESSED]
Eligible warps/cycle: 0.30
WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism
Launch: regs/thread=21, smem/blk=5248B, block=256, grid=256
--- Memory Access Quality ---
Global ld coalescing: 3.67 sectors/req (3.7x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
long_scoreboard 422.2% ####################
short_scoreboard 193.5% ####################
mio_throttle 1.0%
--- Optimization Hints ---
-> 422% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=3.7 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set.
-> Global load coalescing=3.7x (ideal=1.0) -> 4x wasted DRAM BW. Make per-warp accesses contiguous.
-> Low occupancy (23%). Consider __launch_bounds__ or reducing register pressure.
-> Low eligible warps + low BW% + low compute% = LATENCY-BOUND. Need more parallelism (larger grid, more ILP, prefetching).
--- Delta vs Previous Iteration ---
GPU time: 4.29→4.35μs (↑0.06) REGRESSED
DRAM BW%: 7.34→7.26% (↓0.08) REGRESSED
Compute%: 7.48→5.45% (↓2.04) REGRESSED
Occupancy: 88.19→23.27% (↓64.92) REGRESSED
Eligible warps/cyc: 1.55→0.30 (↓1.25) REGRESSED
L2 hit%: 67.22→67.12% (↓0.09) REGRESSED
turn 13 · 1 tool call(s) · 17.2s turn · 17.2s LLM · 9,567 chars (click to expand)
turn 1317.2s turn · 17.2s LLM · 0.0s tools
reasoning
**Checking final submissions**
I need to submit the final version, likely v3, which was at 4.29, and v4 at 4.35. It might be good to do a static check, and I need to include the full code as well. Using v3 could be an option, but I have to make sure there are no hacks involved. So, let’s get it all figured out and submitted!
call → static_check
callstatic_check
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n return cross_scan_forward_cuda(x, weight, bias, kernel_size);\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void cross_scan_32_k3_shared_opt_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int C) {\n __shared__ float s[1024];\n __shared__ float sw[4];\n int tid = threadIdx.x;\n int tile = blockIdx.x;\n int c = tile % C;\n int base = tile << 10;\n s[tid] = x[base + tid];\n if (tid == 0) {\n sw[0] = w[c * 3 + 0];\n sw[1] = w[c * 3 + 1];\n sw[2] = w[c * 3 + 2];\n sw[3] = b[c];\n }\n __syncthreads();\n\n int ww = tid & 31;\n int hh = tid >> 5;\n float w0 = sw[0], w1 = sw[1], w2 = sw[2];\n float wh = w0 + w2;\n float v = 4.0f * sw[3] + (1.0f + 4.0f * w1) * s[tid];\n\n if (ww > 0 && ww < 31) {\n v += wh * (s[tid - 1] + s[tid + 1]);\n } else {\n if (tid > 0) v += w0 * s[tid - 1];\n if (tid < 1023) v += w2 * s[tid + 1];\n int pf = (hh << 5) + (31 - ww);\n if (pf > 0) {\n int q = pf - 1;\n int hq = q >> 5;\n int wf = q & 31;\n v += w0 * s[(hq << 5) + (31 - wf)];\n }\n if (pf < 1023) {\n int q = pf + 1;\n int hq = q >> 5;\n int wf = q & 31;\n v += w2 * s[(hq << 5) + (31 - wf)];\n }\n }\n\n if (hh > 0 && hh < 31) {\n v += wh * (s[tid - 32] + s[tid + 32]);\n } else {\n int pt = (ww << 5) + hh;\n if (pt > 0) {\n int q = pt - 1;\n int wq = q >> 5;\n int hq = q & 31;\n v += w0 * s[(hq << 5) + wq];\n }\n if (pt < 1023) {\n int q = pt + 1;\n int wq = q >> 5;\n int hq = q & 31;\n v += w2 * s[(hq << 5) + wq];\n }\n int pb = (ww << 5) + (31 - hh);\n if (pb > 0) {\n int q = pb - 1;\n int wq = q >> 5;\n int hf = q & 31;\n v += w0 * s[((31 - hf) << 5) + wq];\n }\n if (pb < 1023) {\n int q = pb + 1;\n int wq = q >> 5;\n int hf = q & 31;\n v += w2 * s[((31 - hf) << 5) + wq];\n }\n }\n out[base + tid] = v;\n}\n\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n float v = x[idx] + 4.0f * b[cc];\n const float w0 = w[cc * 3 + 0], w1 = w[cc * 3 + 1], w2 = w[cc * 3 + 2];\n int p = hh * W + ww;\n if (p > 0) v += w0 * x[base_bc + p - 1];\n v += w1 * x[base_bc + p];\n if (p + 1 < L) v += w2 * x[base_bc + p + 1];\n int pf = hh * W + (W - 1 - ww);\n if (pf > 0) { int q=pf-1; int hq=q/W; int wf=q-hq*W; v += w0*x[base_bc+hq*W+(W-1-wf)]; }\n v += w1 * x[idx];\n if (pf + 1 < L) { int q=pf+1; int hq=q/W; int wf=q-hq*W; v += w2*x[base_bc+hq*W+(W-1-wf)]; }\n int pt = ww * H + hh;\n if (pt > 0) { int q=pt-1; int wq=q/H; int hq=q-wq*H; v += w0*x[base_bc+hq*W+wq]; }\n v += w1 * x[idx];\n if (pt + 1 < L) { int q=pt+1; int wq=q/H; int hq=q-wq*H; v += w2*x[base_bc+hq*W+wq]; }\n int pb = ww * H + (H - 1 - hh);\n if (pb > 0) { int q=pb-1; int wq=q/H; int hf=q-wq*H; v += w0*x[base_bc+(H-1-hf)*W+wq]; }\n v += w1 * x[idx];\n if (pb + 1 < L) { int q=pb+1; int wq=q/H; int hf=q-wq*H; v += w2*x[base_bc+(H-1-hf)*W+wq]; }\n out[idx] = v;\n}\n\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W, int K) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n int pad = K >> 1;\n float v = x[idx] + 4.0f * b[cc];\n int p_lr = hh * W + ww;\n int p_rl = hh * W + (W - 1 - ww);\n int p_tb = ww * H + hh;\n int p_bt = ww * H + (H - 1 - hh);\n const float* wc = w + cc * K;\n for (int j = 0; j < K; ++j) {\n int off = j - pad;\n float wj = wc[j];\n int q = p_lr + off;\n if ((unsigned)q < (unsigned)L) v += wj * x[base_bc + q];\n q = p_rl + off;\n if ((unsigned)q < (unsigned)L) {\n int hq = q / W;\n int wf = q - hq * W;\n v += wj * x[base_bc + hq * W + (W - 1 - wf)];\n }\n q = p_tb + off;\n if ((unsigned)q < (unsigned)L) {\n int wq = q / H;\n int hq = q - wq * H;\n v += wj * x[base_bc + hq * W + wq];\n }\n q = p_bt + off;\n if ((unsigned)q < (unsigned)L) {\n int wq = q / H;\n int hf = q - wq * H;\n v += wj * x[base_bc + (H - 1 - hf) * W + wq];\n }\n }\n out[idx] = v;\n}\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n auto out = torch::empty_like(x);\n int B = (int)x.size(0), C = (int)x.size(1), H = (int)x.size(2), W = (int)x.size(3);\n if ((int)kernel_size == 3 && H == 32 && W == 32) {\n cross_scan_32_k3_shared_opt_kernel<<<B * C, 1024>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), C);\n } else {\n int N = B * C * H * W, threads = 256, blocks = (N + threads - 1) / threads;\n if ((int)kernel_size == 3)\n cross_scan_k3_kernel<<<blocks, threads>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), B, C, H, W);\n else\n cross_scan_generic_kernel<<<blocks, threads>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), B, C, H, W, (int)kernel_size);\n }\n return out;\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"cross_scan_ext_final\",\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=[\"cross_scan_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, channels: int, kernel_size: int = 3):\n super().__init__()\n assert channels >= 1\n assert kernel_size % 2 == 1\n self.channels = channels\n self.kernel_size = kernel_size\n self.dw_conv = nn.Conv1d(channels, channels, kernel_size, padding=kernel_size // 2, groups=channels, bias=True)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.cross_scan_forward(x, self.dw_conv.weight, self.dw_conv.bias, self.kernel_size)\n"
}
result ← static_check (ok)
okstatic_check
static_check PASSED: no violations or warnings detected.
turn 14 · FINAL · 1 tool call(s) · 17.8s turn · 17.8s LLM · 9,626 chars (click to expand)
turn 1417.8s turn · 17.8s 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\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\ntorch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n return cross_scan_forward_cuda(x, weight, bias, kernel_size);\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void cross_scan_32_k3_shared_opt_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int C) {\n __shared__ float s[1024];\n __shared__ float sw[4];\n int tid = threadIdx.x;\n int tile = blockIdx.x;\n int c = tile % C;\n int base = tile << 10;\n s[tid] = x[base + tid];\n if (tid == 0) {\n sw[0] = w[c * 3 + 0];\n sw[1] = w[c * 3 + 1];\n sw[2] = w[c * 3 + 2];\n sw[3] = b[c];\n }\n __syncthreads();\n\n int ww = tid & 31;\n int hh = tid >> 5;\n float w0 = sw[0], w1 = sw[1], w2 = sw[2];\n float wh = w0 + w2;\n float v = 4.0f * sw[3] + (1.0f + 4.0f * w1) * s[tid];\n\n // Horizontal scans. Interior pixels receive the same two neighbors from LR/RL.\n if (ww > 0 && ww < 31) {\n v += wh * (s[tid - 1] + s[tid + 1]);\n } else {\n if (tid > 0) v += w0 * s[tid - 1];\n if (tid < 1023) v += w2 * s[tid + 1];\n int pf = (hh << 5) + (31 - ww);\n if (pf > 0) {\n int q = pf - 1;\n int hq = q >> 5;\n int wf = q & 31;\n v += w0 * s[(hq << 5) + (31 - wf)];\n }\n if (pf < 1023) {\n int q = pf + 1;\n int hq = q >> 5;\n int wf = q & 31;\n v += w2 * s[(hq << 5) + (31 - wf)];\n }\n }\n\n // Vertical scans. Interior pixels receive the same two neighbors from TB/BT.\n if (hh > 0 && hh < 31) {\n v += wh * (s[tid - 32] + s[tid + 32]);\n } else {\n int pt = (ww << 5) + hh;\n if (pt > 0) {\n int q = pt - 1;\n int wq = q >> 5;\n int hq = q & 31;\n v += w0 * s[(hq << 5) + wq];\n }\n if (pt < 1023) {\n int q = pt + 1;\n int wq = q >> 5;\n int hq = q & 31;\n v += w2 * s[(hq << 5) + wq];\n }\n int pb = (ww << 5) + (31 - hh);\n if (pb > 0) {\n int q = pb - 1;\n int wq = q >> 5;\n int hf = q & 31;\n v += w0 * s[((31 - hf) << 5) + wq];\n }\n if (pb < 1023) {\n int q = pb + 1;\n int wq = q >> 5;\n int hf = q & 31;\n v += w2 * s[((31 - hf) << 5) + wq];\n }\n }\n out[base + tid] = v;\n}\n\n__global__ void cross_scan_k3_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n float v = x[idx] + 4.0f * b[cc];\n const float w0 = w[cc * 3 + 0], w1 = w[cc * 3 + 1], w2 = w[cc * 3 + 2];\n int p = hh * W + ww;\n if (p > 0) v += w0 * x[base_bc + p - 1];\n v += w1 * x[base_bc + p];\n if (p + 1 < L) v += w2 * x[base_bc + p + 1];\n int pf = hh * W + (W - 1 - ww);\n if (pf > 0) { int q=pf-1; int hq=q/W; int wf=q-hq*W; v += w0*x[base_bc+hq*W+(W-1-wf)]; }\n v += w1 * x[idx];\n if (pf + 1 < L) { int q=pf+1; int hq=q/W; int wf=q-hq*W; v += w2*x[base_bc+hq*W+(W-1-wf)]; }\n int pt = ww * H + hh;\n if (pt > 0) { int q=pt-1; int wq=q/H; int hq=q-wq*H; v += w0*x[base_bc+hq*W+wq]; }\n v += w1 * x[idx];\n if (pt + 1 < L) { int q=pt+1; int wq=q/H; int hq=q-wq*H; v += w2*x[base_bc+hq*W+wq]; }\n int pb = ww * H + (H - 1 - hh);\n if (pb > 0) { int q=pb-1; int wq=q/H; int hf=q-wq*H; v += w0*x[base_bc+(H-1-hf)*W+wq]; }\n v += w1 * x[idx];\n if (pb + 1 < L) { int q=pb+1; int wq=q/H; int hf=q-wq*H; v += w2*x[base_bc+(H-1-hf)*W+wq]; }\n out[idx] = v;\n}\n\n__global__ void cross_scan_generic_kernel(const float* __restrict__ x,\n const float* __restrict__ w,\n const float* __restrict__ b,\n float* __restrict__ out,\n int B, int C, int H, int W, int K) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n int N = B * C * H * W;\n if (idx >= N) return;\n int tmp = idx;\n int ww = tmp % W; tmp /= W;\n int hh = tmp % H; tmp /= H;\n int cc = tmp % C;\n int bc = tmp / C;\n int L = H * W;\n int base_bc = (bc * C + cc) * L;\n int pad = K >> 1;\n float v = x[idx] + 4.0f * b[cc];\n int p_lr = hh * W + ww;\n int p_rl = hh * W + (W - 1 - ww);\n int p_tb = ww * H + hh;\n int p_bt = ww * H + (H - 1 - hh);\n const float* wc = w + cc * K;\n for (int j = 0; j < K; ++j) {\n int off = j - pad;\n float wj = wc[j];\n int q = p_lr + off;\n if ((unsigned)q < (unsigned)L) v += wj * x[base_bc + q];\n q = p_rl + off;\n if ((unsigned)q < (unsigned)L) {\n int hq = q / W;\n int wf = q - hq * W;\n v += wj * x[base_bc + hq * W + (W - 1 - wf)];\n }\n q = p_tb + off;\n if ((unsigned)q < (unsigned)L) {\n int wq = q / H;\n int hq = q - wq * H;\n v += wj * x[base_bc + hq * W + wq];\n }\n q = p_bt + off;\n if ((unsigned)q < (unsigned)L) {\n int wq = q / H;\n int hf = q - wq * H;\n v += wj * x[base_bc + (H - 1 - hf) * W + wq];\n }\n }\n out[idx] = v;\n}\n\ntorch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {\n auto out = torch::empty_like(x);\n int B = (int)x.size(0), C = (int)x.size(1), H = (int)x.size(2), W = (int)x.size(3);\n if ((int)kernel_size == 3 && H == 32 && W == 32) {\n cross_scan_32_k3_shared_opt_kernel<<<B * C, 1024>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), C);\n } else {\n int N = B * C * H * W, threads = 256, blocks = (N + threads - 1) / threads;\n if ((int)kernel_size == 3)\n cross_scan_k3_kernel<<<blocks, threads>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), B, C, H, W);\n else\n cross_scan_generic_kernel<<<blocks, threads>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), B, C, H, W, (int)kernel_size);\n }\n return out;\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"cross_scan_ext_final\",\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=[\"cross_scan_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, channels: int, kernel_size: int = 3):\n super().__init__()\n assert channels >= 1\n assert kernel_size % 2 == 1\n self.channels = channels\n self.kernel_size = kernel_size\n self.dw_conv = nn.Conv1d(channels, channels, kernel_size, padding=kernel_size // 2, groups=channels, bias=True)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.cross_scan_forward(x, self.dw_conv.weight, self.dw_conv.bias, self.kernel_size)\n"
}
result ← submit_kernel (ok)
oksubmit_kernel
submit_kernel PASSED: (5 / 5) correctness trials all passed.
Kernel runtime: 5.01 μs
Runtime stats: mean=5.01μs median=?μs std=49.80μs
Numerical precision: max_abs_err=1.91e-06 mean_abs_err=1.05e-07 max_rel_err=1.03e-01
Memory: 68.0 MB peak (ref: 75.0 MB, ratio: 0.9067x)
Kernel launches: 2 (ref: 114, fusion ratio: 57.0)
SOL score: 0.0794
final submitted kernel (223 lines, 8,029 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 cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);
torch::Tensor cross_scan_forward(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {
return cross_scan_forward_cuda(x, weight, bias, kernel_size);
}
"""
_cuda_src = r"""
#include <torch/extension.h>
#include <cuda.h>
#include <cuda_runtime.h>
__global__ void cross_scan_32_k3_shared_opt_kernel(const float* __restrict__ x,
const float* __restrict__ w,
const float* __restrict__ b,
float* __restrict__ out,
int C) {
__shared__ float s[1024];
__shared__ float sw[4];
int tid = threadIdx.x;
int tile = blockIdx.x;
int c = tile % C;
int base = tile << 10;
s[tid] = x[base + tid];
if (tid == 0) {
sw[0] = w[c * 3 + 0];
sw[1] = w[c * 3 + 1];
sw[2] = w[c * 3 + 2];
sw[3] = b[c];
}
__syncthreads();
int ww = tid & 31;
int hh = tid >> 5;
float w0 = sw[0], w1 = sw[1], w2 = sw[2];
float wh = w0 + w2;
float v = 4.0f * sw[3] + (1.0f + 4.0f * w1) * s[tid];
// Horizontal scans. Interior pixels receive the same two neighbors from LR/RL.
if (ww > 0 && ww < 31) {
v += wh * (s[tid - 1] + s[tid + 1]);
} else {
if (tid > 0) v += w0 * s[tid - 1];
if (tid < 1023) v += w2 * s[tid + 1];
int pf = (hh << 5) + (31 - ww);
if (pf > 0) {
int q = pf - 1;
int hq = q >> 5;
int wf = q & 31;
v += w0 * s[(hq << 5) + (31 - wf)];
}
if (pf < 1023) {
int q = pf + 1;
int hq = q >> 5;
int wf = q & 31;
v += w2 * s[(hq << 5) + (31 - wf)];
}
}
// Vertical scans. Interior pixels receive the same two neighbors from TB/BT.
if (hh > 0 && hh < 31) {
v += wh * (s[tid - 32] + s[tid + 32]);
} else {
int pt = (ww << 5) + hh;
if (pt > 0) {
int q = pt - 1;
int wq = q >> 5;
int hq = q & 31;
v += w0 * s[(hq << 5) + wq];
}
if (pt < 1023) {
int q = pt + 1;
int wq = q >> 5;
int hq = q & 31;
v += w2 * s[(hq << 5) + wq];
}
int pb = (ww << 5) + (31 - hh);
if (pb > 0) {
int q = pb - 1;
int wq = q >> 5;
int hf = q & 31;
v += w0 * s[((31 - hf) << 5) + wq];
}
if (pb < 1023) {
int q = pb + 1;
int wq = q >> 5;
int hf = q & 31;
v += w2 * s[((31 - hf) << 5) + wq];
}
}
out[base + tid] = v;
}
__global__ void cross_scan_k3_kernel(const float* __restrict__ x,
const float* __restrict__ w,
const float* __restrict__ b,
float* __restrict__ out,
int B, int C, int H, int W) {
int idx = blockIdx.x * blockDim.x + threadIdx.x;
int N = B * C * H * W;
if (idx >= N) return;
int tmp = idx;
int ww = tmp % W; tmp /= W;
int hh = tmp % H; tmp /= H;
int cc = tmp % C;
int bc = tmp / C;
int L = H * W;
int base_bc = (bc * C + cc) * L;
float v = x[idx] + 4.0f * b[cc];
const float w0 = w[cc * 3 + 0], w1 = w[cc * 3 + 1], w2 = w[cc * 3 + 2];
int p = hh * W + ww;
if (p > 0) v += w0 * x[base_bc + p - 1];
v += w1 * x[base_bc + p];
if (p + 1 < L) v += w2 * x[base_bc + p + 1];
int pf = hh * W + (W - 1 - ww);
if (pf > 0) { int q=pf-1; int hq=q/W; int wf=q-hq*W; v += w0*x[base_bc+hq*W+(W-1-wf)]; }
v += w1 * x[idx];
if (pf + 1 < L) { int q=pf+1; int hq=q/W; int wf=q-hq*W; v += w2*x[base_bc+hq*W+(W-1-wf)]; }
int pt = ww * H + hh;
if (pt > 0) { int q=pt-1; int wq=q/H; int hq=q-wq*H; v += w0*x[base_bc+hq*W+wq]; }
v += w1 * x[idx];
if (pt + 1 < L) { int q=pt+1; int wq=q/H; int hq=q-wq*H; v += w2*x[base_bc+hq*W+wq]; }
int pb = ww * H + (H - 1 - hh);
if (pb > 0) { int q=pb-1; int wq=q/H; int hf=q-wq*H; v += w0*x[base_bc+(H-1-hf)*W+wq]; }
v += w1 * x[idx];
if (pb + 1 < L) { int q=pb+1; int wq=q/H; int hf=q-wq*H; v += w2*x[base_bc+(H-1-hf)*W+wq]; }
out[idx] = v;
}
__global__ void cross_scan_generic_kernel(const float* __restrict__ x,
const float* __restrict__ w,
const float* __restrict__ b,
float* __restrict__ out,
int B, int C, int H, int W, int K) {
int idx = blockIdx.x * blockDim.x + threadIdx.x;
int N = B * C * H * W;
if (idx >= N) return;
int tmp = idx;
int ww = tmp % W; tmp /= W;
int hh = tmp % H; tmp /= H;
int cc = tmp % C;
int bc = tmp / C;
int L = H * W;
int base_bc = (bc * C + cc) * L;
int pad = K >> 1;
float v = x[idx] + 4.0f * b[cc];
int p_lr = hh * W + ww;
int p_rl = hh * W + (W - 1 - ww);
int p_tb = ww * H + hh;
int p_bt = ww * H + (H - 1 - hh);
const float* wc = w + cc * K;
for (int j = 0; j < K; ++j) {
int off = j - pad;
float wj = wc[j];
int q = p_lr + off;
if ((unsigned)q < (unsigned)L) v += wj * x[base_bc + q];
q = p_rl + off;
if ((unsigned)q < (unsigned)L) {
int hq = q / W;
int wf = q - hq * W;
v += wj * x[base_bc + hq * W + (W - 1 - wf)];
}
q = p_tb + off;
if ((unsigned)q < (unsigned)L) {
int wq = q / H;
int hq = q - wq * H;
v += wj * x[base_bc + hq * W + wq];
}
q = p_bt + off;
if ((unsigned)q < (unsigned)L) {
int wq = q / H;
int hf = q - wq * H;
v += wj * x[base_bc + (H - 1 - hf) * W + wq];
}
}
out[idx] = v;
}
torch::Tensor cross_scan_forward_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size) {
auto out = torch::empty_like(x);
int B = (int)x.size(0), C = (int)x.size(1), H = (int)x.size(2), W = (int)x.size(3);
if ((int)kernel_size == 3 && H == 32 && W == 32) {
cross_scan_32_k3_shared_opt_kernel<<<B * C, 1024>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), C);
} else {
int N = B * C * H * W, threads = 256, blocks = (N + threads - 1) / threads;
if ((int)kernel_size == 3)
cross_scan_k3_kernel<<<blocks, threads>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), B, C, H, W);
else
cross_scan_generic_kernel<<<blocks, threads>>>(x.data_ptr<float>(), weight.data_ptr<float>(), bias.data_ptr<float>(), out.data_ptr<float>(), B, C, H, W, (int)kernel_size);
}
return out;
}
"""
_ext = load_inline(
name="cross_scan_ext_final",
cpp_sources=_cpp_src,
cuda_sources=_cuda_src,
functions=["cross_scan_forward"],
extra_cuda_cflags=["-O3", "--use_fast_math"],
extra_cflags=["-O3"],
verbose=False,
)
class ModelNew(nn.Module):
def __init__(self, channels: int, kernel_size: int = 3):
super().__init__()
assert channels >= 1
assert kernel_size % 2 == 1
self.channels = channels
self.kernel_size = kernel_size
self.dw_conv = nn.Conv1d(channels, channels, kernel_size, padding=kernel_size // 2, groups=channels, bias=True)
def forward(self, x: torch.Tensor) -> torch.Tensor:
return _ext.cross_scan_forward(x, self.dw_conv.weight, self.dw_conv.bias, self.kernel_size)