FW-GLM-5-1 · popcorn · pop_l123_all_gpt
correct 3_SSM2D_FusedBidirectionalCrossScan.py
model
FW-GLM-5-1
turns / max
15 / 15
tool calls
16
tokens (total)
232251
wall clock
1478.2s
truncated
no
backend
cuda fp32
variant
popcorn
runtime
0.02 μs
ref runtime
0.20 μs
speedup
12.36x
started
2026-05-11T18:17:56Z
timingkernelbench.timing
kernel runtime
0.02 μs
ref runtime
0.20 μs
speedup
12.36x
kernel mean / median / std
0.02 / — / 5.11e-04 μs
ref mean / median / std
0.20 / — / 0.10 μs
numerical precisioneval_kernel_against_ref
max abs error
1.91e-06
mean abs error
8.45e-08
max rel error
0.01
mean rel error
2.64e-07
gpu memoryextended_metrics.measure_memory
kernel peak
36.00 MB
ref peak
42.00 MB
kernel / ref
0.86x
kernel launches / fusiontorch.profiler
kernel launches
5
ref launches
114
fusion ratio (ref / kernel)
22.80x
total cuda time
113 μs
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.295
dram util %
19.5%
compute util %
29.5%
bottleneck
compute-bound
dominant pipe
FP32
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
652.90 GB/s
dram util %
19.5%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
80.6%
bottleneck
compute-bound
dominant pipe %
29.5%
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
135.5%
ld sectors / req
19.49
st sectors / req
—
regs / thread
64
smem / block
2048 B
block size
384
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
4880.6%
short_scoreboard
382.8%
mio_throttle
124.4%
flagssubmit_kernel guard
excessive speedup
flagged
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 03.1s turn · 3.1s LLM · 0.0s tools · tokens in=2,790 · out=188 · total=2,978
reasoning
Let me understand this task. I need to implement a custom CUDA kernel for a "2D bidirectional cross-scan" operation that: 1. Takes input (B, C, H, W) 2. Applies four different scan patterns: - LR: row-major left→right - RL: row-major right→left (flip W, scan, unflip) - TB: column-wise top→bottom (transpose, flatten, conv, transpose back) - BT: flip H then TB path 3. Each scan applies a depthwise Conv1d with kernel_size 4. Results are summed and added to input as residual The key operations are: - Flipping along dimensions - Transposing dimensions - Depthwise 1D convolution - Summing results Let me start by getting GPU specs and understanding the hardware constraints.
call → get_gpu_specs
callget_gpu_specs {}
call → ert_roofline
callert_roofline {}
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
result ← ert_roofline (ok)
okert_roofline ert_roofline PASSED: empirical roofline benchmarks complete. === Empirical Roofline Model === Device: NVIDIA H100 80GB HBM3 --- Measured Bandwidth --- L1 13.6 GB/s (working set: 32 KB) L2 927.6 GB/s (working set: 2048 KB) DRAM 2577.3 GB/s (working set: 262144 KB) --- Measured Compute Throughput --- FP32 51.85 TFLOPS FP16 (tensor core) 758.77 TFLOPS Ridge point (FP32): 20.12 FLOPs/byte Kernels with arithmetic intensity below the ridge point are memory-bound; above it they are compute-bound.
turn 1 · 1 tool call(s) · 90.3s turn · 15.1s LLM · tokens in=3,224 · out=1,456 · total=4,680 · 6,640 chars (click to expand)
turn 190.3s turn · 15.1s LLM · 75.2s tools · tokens in=3,224 · out=1,456 · total=4,680
reasoning
Now I understand the hardware. H100 with massive bandwidth and compute. Let me write my first CUDA kernel implementation. Key aspects: 1. Four directional scans (LR, RL, TB, BT) 2. Shared depthwise Conv1d with bias 3. Residual connection Let me write a kernel that fuses all of this. The main challenge is the depthwise convolution which needs to handle different scan orders. For a depthwise 1D convolution: - Each channel is independent - Input: (B, C, L) where L = H*W for each scan - Kernel: (C, 1, K) where K is kernel_size - Bias: (C,) - Output: (B, C, L) I'll need to: 1. Extract weights and bias from the Conv1d 2. Implement the scan/conv/unscan operations for each direction 3. Fuse them together Let me write a first version that handles all four scans:
assistantNow I understand the hardware. H100 with 3.35 TB/s bandwidth and 67 TFLOPS FP32. This is a bidirectional 2D cross-scan operation with shared depthwise Conv1d. Let me write the first CUDA kernel version:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int half_k = K / 2;\n const int L = H * W;\n \n // Each thread handles one channel position\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * H * W;\n \n if (idx >= total) return;\n \n const int w_idx = idx % W;\n const int h_idx = (idx / W) % H;\n const int c_idx = (idx / (W * H)) % C;\n const int b_idx = idx / (W * H * C);\n \n const scalar_t* w_ptr = weight + c_idx * K;\n scalar_t b_val = bias[c_idx];\n \n scalar_t acc = scalar_t(0);\n \n // LR scan: row-major\n {\n const scalar_t* x_ptr = x + b_idx * C * L + c_idx * L;\n const int seq_pos = h_idx * W + w_idx;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_ptr[k] * x_ptr[seq_off];\n }\n }\n }\n \n // RL scan: flip W\n {\n const scalar_t* x_ptr = x + b_idx * C * L + c_idx * L;\n const int w_flipped = W - 1 - w_idx;\n const int seq_pos = h_idx * W + w_flipped;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n // Read from flipped position, write to flipped position\n const int out_w = W - 1 - (seq_off % W);\n const int out_h = seq_off / W;\n if (out_h == h_idx && out_w == w_flipped) {\n // This is tricky - we need to flip back\n }\n // Actually simpler: read flipped data in scan order\n }\n }\n // Let me rethink this...\n }\n \n out[idx] = acc + b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n const int pad = K / 2;\n \n auto out = torch::zeros_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, pad);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 2 · 1 tool call(s) · 11.0s turn · 11.0s LLM · tokens in=4,490 · out=1,241 · total=5,731 · 6,002 chars (click to expand)
turn 211.0s turn · 11.0s LLM · 0.0s tools · tokens in=4,490 · out=1,241 · total=5,731
reasoning
Good, it compiled! Now let me check correctness. But wait, my kernel is incomplete - I only implemented the LR scan and left the RL scan unfinished. Let me run correctness to see what happens.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int half_k = K / 2;\n const int L = H * W;\n \n // Each thread handles one channel position\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * H * W;\n \n if (idx >= total) return;\n \n const int w_idx = idx % W;\n const int h_idx = (idx / W) % H;\n const int c_idx = (idx / (W * H)) % C;\n const int b_idx = idx / (W * H * C);\n \n const scalar_t* w_ptr = weight + c_idx * K;\n scalar_t b_val = bias[c_idx];\n \n scalar_t acc = scalar_t(0);\n \n // LR scan: row-major\n {\n const scalar_t* x_ptr = x + b_idx * C * L + c_idx * L;\n const int seq_pos = h_idx * W + w_idx;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_ptr[k] * x_ptr[seq_off];\n }\n }\n }\n \n // RL scan: flip W\n {\n const scalar_t* x_ptr = x + b_idx * C * L + c_idx * L;\n const int w_flipped = W - 1 - w_idx;\n const int seq_pos = h_idx * W + w_flipped;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n // Read from flipped position, write to flipped position\n const int out_w = W - 1 - (seq_off % W);\n const int out_h = seq_off / W;\n if (out_h == h_idx && out_w == w_flipped) {\n // This is tricky - we need to flip back\n }\n // Actually simpler: read flipped data in scan order\n }\n }\n // Let me rethink this...\n }\n \n out[idx] = acc + b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n const int pad = K / 2;\n \n auto out = torch::zeros_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, pad);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 3) trials did not all match. correctness_issue: Output mismatch max_difference: ['9.871468', '9.801792', '9.337729'] avg_difference: ['1.315940', '1.316453', '1.320250']
turn 3 · 1 tool call(s) · 107.1s turn · 29.1s LLM · tokens in=5,768 · out=3,097 · total=8,865 · 11,798 chars (click to expand)
turn 3107.1s turn · 29.1s LLM · 78.0s tools · tokens in=5,768 · out=3,097 · total=8,865
reasoning
The kernel is incomplete and has incorrect logic. Let me properly implement the bidirectional 2D cross-scan. For each of the four scans: 1. LR (row-major): scan in order (h*W + w), apply conv1d 2. RL (flip W): flip width, scan, unflip - means scan in reverse order per row 3. TB (column-wise): treat columns as sequences, scan top to bottom 4. BT (flip H then TB): flip height, then same as TB Let me think more carefully about how to implement each scan in CUDA: **LR Scan**: - Input position (h, w) → sequence position seq_pos = h*W + w - Conv1d with padding: output at seq_pos depends on inputs at seq_pos - pad ... seq_pos + pad - Each output position (h, w) reads from sequence positions [seq_pos - pad, seq_pos + pad] - Since we pad by K//2 at both ends, we get the same length output **RL Scan** (flip W, scan, unflip): - Input: x_flipped where x_flipped[b,c,h,w] = x[b,c,h,W-1-w] - Scan the flattened flipped tensor (row-major order) - After conv1d, flip W back: output[h,w] = conv_output[h, W-1-w] - In the flipped space, seq_pos = h*W + (W-1-w) = h*W + W - 1 - w - The conv reads from positions seq_pos - pad ... seq_pos + pad - Then flip back: output_w = W - 1 - (output_seq_pos % W) Actually, let me think about this differently. The RL scan is: - Flip W: x' where x'[h,w] = x[h,W-1-w] - Flatten x' in row-major order - Apply conv1d - Result y' flattened - Reshape y' to (H,W) - Flip W back: y[h,w] = y'[h,W-1-w] So for output position (h,w): - We need to find what y'[h,W-1-w] is - y'[h,W-1-w] comes from conv applied to flattened x' at position seq_pos = h*W + (W-1-w) - Conv at seq_pos reads from x'[seq_pos - pad ... seq_pos + pad] - x'[seq_off] = x[h_off, W-1-w_off] where seq_off = h_off*W + w_off So output[h,w] = sum_k weight[k] * x'[seq_pos - pad + k] = sum_k weight[k] * x[h_off_k, W-1-w_off_k] **TB Scan** (columns as sequences): - Permute: x_t = x.permute(0,1,3,2) → shape (B,C,W,H) - Flatten: seq_t = x_t.flatten(2) → shape (B,C,W*H) - Apply conv1d → yt - Reshape: yt.view(B,C,W,H) - Permute back: yt.permute(0,1,3,2) - So sequence order is: (w*H + h), i.e., go down each column first, then move right For output position (h,w): - In transposed space, this is (w,h) - Sequence position = w*H + h - Conv reads from seq_pos - pad ... seq_pos + pad - seq_off = w_off*H + h_off, so w_off = seq_off / H, h_off = seq_off % H **BT Scan** (flip H then TB): - Flip H: xb = x.flip(dims=(-2,)) → xb[b,c,h,w] = x[b,c,H-1-h,w] - Permute: xbt = xb.permute(0,1,3,2) → (B,C,W,H) - Flatten: seq_b = xbt.flatten(2) → (B,C,W*H) - Apply conv1d → yb - Reshape: yb.view(B,C,W,H) - Permute back: yb.permute(0,1,3,2) - Flip H back For output position (h,w): - In flipped space: input position is (H-1-h,w) - In transposed flipped space: (w, H-1-h) - Sequence position = w*H + (H-1-h) = w*H + H - 1 - h - ... OK, this is getting complicated. Let me write the kernel more carefully, computing all four scans properly. Actually, let me try a simpler approach: for each scan, compute the sequence position and read/write accordingly. For a given output position (b, c, h, w), I need to compute: 1. LR contribution: conv1d applied to row-major flattened x 2. RL contribution: conv1d applied to row-major flattened (flip W of x) 3. TB contribution: conv1d applied to column-major flattened x 4. BT contribution: conv1d applied to column-major flattened (flip H of x) Let me write the kernel more carefully.
assistantI need to properly implement all four scans. Let me rewrite the kernel with correct logic:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W; // Sequence length for row-major scans\n const int L_col = W * H; // Sequence length for column-wise scans (same but different order\n \n // Each thread handles one (b,c,h,w) position\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * H * W;\n \n if (idx >= total) return;\n \n const int w_idx = idx % W;\n const int h_idx = (idx / W) % H;\n const int c_idx = (idx / (W * H)) % C;\n const int b_idx = idx / (W * H * C);\n \n // Get weight pointer for this channel\n const scalar_t* w_ptr = weight + c_idx * K;\n scalar_t b_val = bias[c_idx];\n \n // Base pointer for this (batch, channel)\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_base = out + b_idx * C * L + c_idx * L;\n \n scalar_t acc = scalar_t(0);\n \n // ===== LR scan: row-major left-to-right =====\n // Sequence position: h*W + w\n // Conv at seq_pos reads from x[seq_pos - pad + k] for k in [0, K)\n {\n const int seq_pos = h_idx * W + w_idx;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_ptr[k] * x_base[seq_off];\n }\n }\n }\n \n // ===== RL scan: flip W, scan left-to-right (which is right-to-left in original), unflip =====\n // Input flip: x'[h,w] = x[h, W-1-w]\n // Sequence in flipped space: seq_pos' = h*W + (W-1-w) = h*W + W - 1 - w\n // Conv reads x'[seq_pos' - pad + k]\n // Then flip output back: y[h,w] = y'[h, W-1-w]\n // So for output (h,w), we need y'[h, W-1-w]\n // y'[h, W-1-w] comes from conv at seq_pos' = h*W + W - 1 - w\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx); // Position in flipped space\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n // x'[seq_off] = x[h_off, W-1-w_off] where seq_off = h_off*W + w_off\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int w_flipped = W - 1 - w_off;\n const int x_idx = h_off * W + w_flipped;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== TB scan: columns as sequences (top-to-bottom per column) =====\n // Permute to (B,C,W,H), flatten to (B,C,W*H)\n // Sequence: column-major order, i.e., position (h,w) maps to seq_pos = w*H + h\n // Conv at seq_pos reads from seq_pos - pad + k\n // In original (h,w) coords: seq_off = w_off*H + h_off, so w_off = seq_off/H, h_off = seq_off%H\n {\n const int seq_pos = w_idx * H + h_idx; // Position in column-major order\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L_col) {\n // seq_off = w_off*H + h_off, column-major\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off; // Convert to row-major index\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== BT scan: flip H, then columns as sequences, unflip =====\n // Flip H: xb[h,w] = x[H-1-h, w]\n // Then TB scan on xb\n // Sequence: position (h,w) in flipped space is (H-1-h, w), so seq_pos = w*H + (H-1-h)\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx); // Position in flipped column-major\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L_col) {\n // seq_off = w_off*H + h_off_flipped in the flipped space\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped; // Unflip\n const int x_idx = h_off_original * W + w_off;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n out_base[h_idx * W + w_idx] = acc + b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n const int pad = K / 2;\n \n auto out = torch::zeros_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, pad);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 4 · 1 tool call(s) · 16.5s turn · 16.5s LLM · tokens in=7,768 · out=1,977 · total=9,745 · 8,391 chars (click to expand)
turn 416.5s turn · 16.5s LLM · 0.0s tools · tokens in=7,768 · out=1,977 · total=9,745
reasoning
Good, let me check correctness.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W; // Sequence length for row-major scans\n const int L_col = W * H; // Sequence length for column-wise scans (same but different order\n \n // Each thread handles one (b,c,h,w) position\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * H * W;\n \n if (idx >= total) return;\n \n const int w_idx = idx % W;\n const int h_idx = (idx / W) % H;\n const int c_idx = (idx / (W * H)) % C;\n const int b_idx = idx / (W * H * C);\n \n // Get weight pointer for this channel\n const scalar_t* w_ptr = weight + c_idx * K;\n scalar_t b_val = bias[c_idx];\n \n // Base pointer for this (batch, channel)\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_base = out + b_idx * C * L + c_idx * L;\n \n scalar_t acc = scalar_t(0);\n \n // ===== LR scan: row-major left-to-right =====\n // Sequence position: h*W + w\n // Conv at seq_pos reads from x[seq_pos - pad + k] for k in [0, K)\n {\n const int seq_pos = h_idx * W + w_idx;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_ptr[k] * x_base[seq_off];\n }\n }\n }\n \n // ===== RL scan: flip W, scan left-to-right (which is right-to-left in original), unflip =====\n // Input flip: x'[h,w] = x[h, W-1-w]\n // Sequence in flipped space: seq_pos' = h*W + (W-1-w) = h*W + W - 1 - w\n // Conv reads x'[seq_pos' - pad + k]\n // Then flip output back: y[h,w] = y'[h, W-1-w]\n // So for output (h,w), we need y'[h, W-1-w]\n // y'[h, W-1-w] comes from conv at seq_pos' = h*W + W - 1 - w\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx); // Position in flipped space\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n // x'[seq_off] = x[h_off, W-1-w_off] where seq_off = h_off*W + w_off\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int w_flipped = W - 1 - w_off;\n const int x_idx = h_off * W + w_flipped;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== TB scan: columns as sequences (top-to-bottom per column) =====\n // Permute to (B,C,W,H), flatten to (B,C,W*H)\n // Sequence: column-major order, i.e., position (h,w) maps to seq_pos = w*H + h\n // Conv at seq_pos reads from seq_pos - pad + k\n // In original (h,w) coords: seq_off = w_off*H + h_off, so w_off = seq_off/H, h_off = seq_off%H\n {\n const int seq_pos = w_idx * H + h_idx; // Position in column-major order\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L_col) {\n // seq_off = w_off*H + h_off, column-major\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off; // Convert to row-major index\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== BT scan: flip H, then columns as sequences, unflip =====\n // Flip H: xb[h,w] = x[H-1-h, w]\n // Then TB scan on xb\n // Sequence: position (h,w) in flipped space is (H-1-h, w), so seq_pos = w*H + (H-1-h)\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx); // Position in flipped column-major\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L_col) {\n // seq_off = w_off*H + h_off_flipped in the flipped space\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped; // Unflip\n const int x_idx = h_off_original * W + w_off;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n out_base[h_idx * W + w_idx] = acc + b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n const int pad = K / 2;\n \n auto out = torch::zeros_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, pad);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 3) trials did not all match. correctness_issue: Output mismatch max_difference: ['1.723052', '1.723052', '1.723052'] avg_difference: ['0.888087', '0.888087', '0.888087']
turn 5 · 1 tool call(s) · 112.4s turn · 38.2s LLM · tokens in=9,816 · out=4,291 · total=14,107 · 14,786 chars (click to expand)
turn 5112.4s turn · 38.2s LLM · 74.3s tools · tokens in=9,816 · out=4,291 · total=14,107
reasoning
The max difference is lower now but still failing. Let me debug more carefully. The issue might be related to how the bias is applied or how the convolution window accesses elements. Looking at the reference code: - `self.dw_conv = nn.Conv1d(channels, channels, kernel_size, padding=pad, groups=channels, bias=True)` This is a depthwise Conv1d with padding. When we call `self.dw_conv(seq)`: - `seq` is shape `(B, C, L)` where `L = H*W` for LR scan or `W*H` for TB scan - The conv has `groups=channels`, so each channel has its own kernel - Weight shape is `(channels, 1, kernel_size)` - one kernel per channel - Bias is applied to the output The conv is 1D with padding, so for position `i` in the output: `output[i] = sum_{k=0}^{K-1} weight[k] * input[i - pad + k] + bias` where out-of-bounds reads are treated as 0 (padding behavior). Wait, looking at my kernel, I'm not handling the padding correctly. The PyTorch conv1d with padding will use zeros for out-of-bounds, but my kernel simply skips those reads (not adding 0). Actually, that should be the same since I initialize `acc = 0`. But wait - the bias should be applied once, not per-scan! Looking at my code, I only add bias once at the end. That seems correct. Let me think about the scan logic more carefully: Reference for LR: ```python acc = acc + self._apply_scan_conv_unscan(x) ``` where `_apply_scan_conv_unscan` does: ```python seq = x.flatten(2) # (B, C, H*W) y = self.dw_conv(seq) # (B, C, H*W) return y.view(B, C, H, W) ``` So for LR, the input to conv is `x.flatten(2)` which is `(B, C, H*W)`. The sequence order is `x[b,c,h,w]` maps to `seq[b,c,h*W+w]`. For position `h*W+w` in the sequence: `output[h*W+w] = sum_{k=0}^{K-1} weight[k] * input[h*W+w - pad + k] + bias` This matches what I have for LR scan. Let me check the others. Reference for RL: ```python xr = x.flip(dims=(-1,)) # flip W acc = acc + self._apply_scan_conv_unscan(xr).flip(dims=(-1,)) ``` So `xr[b,c,h,w] = x[b,c,h,W-1-w]`. Then flatten: `xr_seq[b,c,h*W+w] = xr[b,c,h,w] = x[b,c,h,W-1-w]`. So the sequence is: - Position `h*W+w` in xr_seq contains `x[b,c,h,W-1-w]`. - The conv is applied, then output is flipped back. For output position `(h,w)` in original coords: - We flip output: `output[h,w] = y_flipped[h,W-1-w]` - `y_flipped[h,W-1-w]` is at position `h*W + (W-1-w)` in the flipped output sequence. - That position gets: `sum_{k=0}^{K-1} weight[k] * xr_seq[h*W+(W-1-w) - pad + k] + bias` - `xr_seq[h*W+(W-1-w) - pad + k] = xr[b,c,h*W+(W-1-w) - pad + k]` - Let `seq_off = h*W + (W-1-w) - pad + k` - If valid (0 <= seq_off < H*W): - `seq_off = h_off * W + w_off` for some h_off, w_off - `xr[b,c,seq_off] = x[b,c,h_off, W-1-w_off]` So for RL, at output position `(h,w)`: `acc_RL[h,w] = sum_{k=0}^{K-1} weight[k] * x[b,c,h_off, W-1-w_off] + bias` where `h_off = (h*W + (W-1-w) - pad + k) / W` and `w_off = (h*W + (W-1-w) - pad + k) % W` Let me compare with my implementation: ```cpp const int seq_pos = h_idx * W + (W - 1 - w_idx); // Position in flipped space for (int k = 0; k < K; k++) { const int seq_off = seq_pos - pad + k; if (seq_off >= 0 && seq_off < L) { const int h_off = seq_off / W; const int w_off = seq_off % W; const int w_flipped = W - 1 - w_off; const int x_idx = h_off * W + w_flipped; acc += w_ptr[k] * x_base[x_idx]; } } ``` This looks correct. Let me check TB: Reference for TB: ```python xt = x.permute(0, 1, 3, 2).contiguous() # (B, C, W, H) seq_t = xt.flatten(2) # (B, C, W*H) yt = self.dw_conv(seq_t).view(Bt, Ct, Wt, Ht).permute(0, 1, 3, 2).contiguous() ``` So `xt[b,c,w,h] = x[b,c,h,w]`. Then flatten: `seq_t[b,c,w*H+h] = xt[b,c,w,h] = x[b,c,h,w]`. For output position `(h,w)` in original coords: - `yt[b,c,w,h]` after conv is the convolved value. - After permute back: `output[b,c,h,w] = yt[b,c,w,h]`. - `yt[b,c,w,h]` is at position `w*H+h` in the sequence. - Conv at position `w*H+h`: `sum_{k=0}^{K-1} weight[k] * seq_t[w*H+h - pad + k] + bias` - `seq_t[w*H+h - pad + k] = x[b,c,?]` where we need to find the original coords. - If `seq_off = w*H+h - pad + k`, then: - `w_off = seq_off / H` (column in permuted space) - `h_off = seq_off % H` (row in permuted space) - In original coords: `x[b,c,h_off,w_off]` (since permute swapped h and w) Wait, that doesn't look right. Let me reconsider. `xt = x.permute(0, 1, 3, 2)` means: - `xt[b,c,w,h] = x[b,c,h,w]` (swap dimensions 2 and 3, which are H and W) Then flatten: `seq_t[b,c,w*H+h] = xt[b,c,w,h] = x[b,c,h,w]`. So the sequence position `w*H+h` contains `x[b,c,h,w]`. That's a column-major ordering. For conv at position `w*H+h`: - Read from positions `w*H+h - pad + k` for k in [0, K) - `seq_t[w*H+h - pad + k] = x[b,c,h_off,w_off]` where `w_off*H + h_off = w*H+h - pad + k` - So `w_off = (w*H+h - pad + k) / H` - And `h_off = (w*H+h - pad + k) % H` My implementation: ```cpp const int seq_pos = w_idx * H + h_idx; // Position in column-major order for (int k = 0; k < K; k++) { const int seq_off = seq_pos - pad + k; if (seq_off >= 0 && seq_off < L_col) { const int w_off = seq_off / H; const int h_off = seq_off % H; const int x_idx = h_off * W + w_off; // Convert to row-major index acc += w_ptr[k] * x_base[x_idx]; } } ``` This looks correct. For BT: ```python xb = x.flip(dims=(-2,)) # flip H xbt = xb.permute(0, 1, 3, 2).contiguous() # (B, C, W, H) seq_b = xbt.flatten(2) yb = self.dw_conv(seq_b).view(...).permute(...).flip(dims=(-2,)) ``` So `xb[b,c,h,w] = x[b,c,H-1-h,w]`. Then `xbt[b,c,w,h] = xb[b,c,h,w] = x[b,c,H-1-h,w]`. Flatten: `seq_b[b,c,w*H+h] = xbt[b,c,w,h] = x[b,c,H-1-h,w]`. For output position `(h,w)` in original coords: - After all operations, we need to trace back. - `output[b,c,h,w]` comes from `yb.permute(...).flip(dims=(-2,))`. - The flip gives us: `yb_flipped[b,c,h,w] = yb[b,c,H-1-h,w]`. - And `yb[b,c,H-1-h,w]` comes from `yb[b,c,w,H-1-h]` after permute. - So `yb[b,c,w,H-1-h]` is at position `w*H + (H-1-h)` in the sequence. - Conv at `w*H+(H-1-h)`: `sum_{k=0}^{K-1} weight[k] * seq_b[w*H+(H-1-h) - pad + k] + bias` - `seq_b[w*H+(H-1-h) - pad + k] = x[b,c,H-1-h_off,w_off]` where `w_off*H + h_off = w*H+(H-1-h) - pad + k` - So `w_off = (w*H+(H-1-h) - pad + k) / H` - `h_off = (w*H+(H-1-h) - pad + k) % H` But wait, `h_off` here is in the flipped space, so the actual h is `H-1-h_off`. My implementation: ```cpp const int seq_pos = w_idx * H + (H - 1 - h_idx); // Position in flipped column-major for (int k = 0; k < K; k++) { const int seq_off = seq_pos - pad + k; if (seq_off >= 0 && seq_off < L_col) { const int w_off = seq_off / H; const int h_off_flipped = seq_off % H; const int h_off_original = H - 1 - h_off_flipped; // Unflip const int x_idx = h_off_original * W + w_off; acc += w_ptr[k] * x_base[x_idx]; } } ``` This also looks correct. Hmm, the issue must be elsewhere. Let me think about what else could be different. Wait! I just realized - the bias is applied 4 times in the reference (once per scan), but I'm only applying it once! Let me check the reference again: ```python acc = torch.zeros_like(x) # LR acc = acc + self._apply_scan_conv_unscan(x) # RL acc = acc + self._apply_scan_conv_unscan(xr).flip(...) # TB acc = acc + yt # BT acc = acc + yb ``` Each `_apply_scan_conv_unscan` and each separate conv call adds the bias. So the bias should be added 4 times total in the accumulated output! But wait, in my kernel I'm computing the accumulated output directly, so I should add bias * 4. Let me verify: - LR output has bias added once - RL output has bias added once - TB output has bias added once - BT output has bias added once - Sum = 4 * bias Yes, I need to add `4 * bias` at the end! That's the bug.
assistantI see the issue - the bias is added 4 times in total (once per scan), but I'm only adding it once. Let me fix that:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W; // Sequence length\n \n // Each thread handles one (b,c,h,w) position\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * H * W;\n \n if (idx >= total) return;\n \n const int w_idx = idx % W;\n const int h_idx = (idx / W) % H;\n const int c_idx = (idx / (W * H)) % C;\n const int b_idx = idx / (W * H * C);\n \n // Get weight pointer for this channel\n const scalar_t* w_ptr = weight + c_idx * K;\n scalar_t b_val = bias[c_idx];\n \n // Base pointer for this (batch, channel)\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_base = out + b_idx * C * L + c_idx * L;\n \n scalar_t acc = scalar_t(0);\n \n // ===== LR scan: row-major left-to-right =====\n {\n const int seq_pos = h_idx * W + w_idx;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_ptr[k] * x_base[seq_off];\n }\n }\n }\n \n // ===== RL scan: flip W, scan, unflip =====\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx);\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int w_flipped = W - 1 - w_off;\n const int x_idx = h_off * W + w_flipped;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== TB scan: columns as sequences =====\n {\n const int seq_pos = w_idx * H + h_idx;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== BT scan: flip H, columns as sequences, unflip =====\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx);\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped;\n const int x_idx = h_off_original * W + w_off;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // Bias is added 4 times (once per scan)\n out_base[h_idx * W + w_idx] = acc + (scalar_t)4.0 * b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n const int pad = K / 2;\n \n auto out = torch::zeros_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, pad);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 6 · 1 tool call(s) · 12.9s turn · 12.9s LLM · tokens in=11,369 · out=1,522 · total=12,891 · 6,858 chars (click to expand)
turn 612.9s turn · 12.9s LLM · 0.0s tools · tokens in=11,369 · out=1,522 · total=12,891
reasoning
Let me run correctness again to see if the bias fix helped.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W; // Sequence length\n \n // Each thread handles one (b,c,h,w) position\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * H * W;\n \n if (idx >= total) return;\n \n const int w_idx = idx % W;\n const int h_idx = (idx / W) % H;\n const int c_idx = (idx / (W * H)) % C;\n const int b_idx = idx / (W * H * C);\n \n // Get weight pointer for this channel\n const scalar_t* w_ptr = weight + c_idx * K;\n scalar_t b_val = bias[c_idx];\n \n // Base pointer for this (batch, channel)\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_base = out + b_idx * C * L + c_idx * L;\n \n scalar_t acc = scalar_t(0);\n \n // ===== LR scan: row-major left-to-right =====\n {\n const int seq_pos = h_idx * W + w_idx;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_ptr[k] * x_base[seq_off];\n }\n }\n }\n \n // ===== RL scan: flip W, scan, unflip =====\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx);\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int w_flipped = W - 1 - w_off;\n const int x_idx = h_off * W + w_flipped;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== TB scan: columns as sequences =====\n {\n const int seq_pos = w_idx * H + h_idx;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== BT scan: flip H, columns as sequences, unflip =====\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx);\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped;\n const int x_idx = h_off_original * W + w_off;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // Bias is added 4 times (once per scan)\n out_base[h_idx * W + w_idx] = acc + (scalar_t)4.0 * b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n const int pad = K / 2;\n \n auto out = torch::zeros_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, pad);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=1.91e-06 mean_abs_err=8.45e-08 max_rel_err=6.28e-03
turn 7 · 1 tool call(s) · 103.6s turn · 12.8s LLM · tokens in=12,935 · out=1,550 · total=14,485 · 8,584 chars (click to expand)
turn 7103.6s turn · 12.8s LLM · 90.8s tools · tokens in=12,935 · out=1,550 · total=14,485
reasoning
Excellent! The kernel is correct now. Let me profile it to understand the performance and see if there are opportunities for optimization.
assistantThe kernel is correct. Now let me profile it to understand the performance and optimize:
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W; // Sequence length\n \n // Each thread handles one (b,c,h,w) position\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * H * W;\n \n if (idx >= total) return;\n \n const int w_idx = idx % W;\n const int h_idx = (idx / W) % H;\n const int c_idx = (idx / (W * H)) % C;\n const int b_idx = idx / (W * H * C);\n \n // Get weight pointer for this channel\n const scalar_t* w_ptr = weight + c_idx * K;\n scalar_t b_val = bias[c_idx];\n \n // Base pointer for this (batch, channel)\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_base = out + b_idx * C * L + c_idx * L;\n \n scalar_t acc = scalar_t(0);\n \n // ===== LR scan: row-major left-to-right =====\n {\n const int seq_pos = h_idx * W + w_idx;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_ptr[k] * x_base[seq_off];\n }\n }\n }\n \n // ===== RL scan: flip W, scan, unflip =====\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx);\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int w_flipped = W - 1 - w_off;\n const int x_idx = h_off * W + w_flipped;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== TB scan: columns as sequences =====\n {\n const int seq_pos = w_idx * H + h_idx;\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== BT scan: flip H, columns as sequences, unflip =====\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx);\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped;\n const int x_idx = h_off_original * W + w_off;\n acc += w_ptr[k] * x_base[x_idx];\n }\n }\n }\n \n // Bias is added 4 times (once per scan)\n out_base[h_idx * W + w_idx] = acc + (scalar_t)4.0 * b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n const int pad = K / 2;\n \n auto out = torch::zeros_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, pad);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::add 7272.0μs (26%) calls=1 #2: aten::zeros_like 6946.0μs (25%) calls=1 #3: aten::zero_ 6652.0μs (24%) calls=1 #4: aten::fill_ 6624.0μs (24%) calls=1 #5: aten::empty_like 245.0μs (1%) calls=1 ... +3 more kernels --- Timing --- GPU time: 17.34 μs --- Memory Bandwidth --- DRAM BW: 635.8/3350 GB/s (19.0%) read=635.8 write=0.0 GB/s Hit rates: L2=220.6% --- Compute Throughput --- Dominant pipe: FP32 util=32.9% Pipe util: FMA=32.9%, Tensor=0.0% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 90.4% Eligible warps/cycle: 3.73 Launch: regs/thread=78, smem/blk=3072B, block=512, grid=1536 --- Memory Access Quality --- Global ld coalescing: 18.59 sectors/req (18.6x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 5101.2% #################### short_scoreboard 875.9% #################### mio_throttle 161.4% #################### --- Optimization Hints --- -> 5101% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=18.6 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=18.6x (ideal=1.0) -> 19x 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 8 · 1 tool call(s) · 90.5s turn · 16.6s LLM · tokens in=15,011 · out=1,842 · total=16,853 · 8,260 chars (click to expand)
turn 890.5s turn · 16.6s LLM · 73.9s tools · tokens in=15,011 · out=1,842 · total=16,853
reasoning
The profiling shows major issues: 1. **Global load coalescing is terrible** - 18.6 sectors/request (should be close to 1). This means memory accesses are very scattered. 2. **Major warp stalls** - long_scoreboard at 5101% (waiting for memory), short_scoreboard at 875%. The issue is that with each thread handling one (b,c,h,w) position and doing scattered reads for the 4 scans, memory access patterns are terrible. Let me optimize this with: 1. **Shared memory tiling** - load tiles of input into shared memory 2. **Better thread organization** - have threads in a warp access contiguous memory 3. **Cache weights and bias in registers or shared memory** Let me restructure the kernel to have threads in a warp access contiguous positions and use shared memory for input data. Actually, a simpler approach first - let's use a better thread-to-data mapping where threads in a warp access consecutive positions in the row-major layout. This will improve coalescing for the LR scan at least. Let me also try to cache the weights in registers per thread.
assistantThe profiling shows terrible memory coalescing (18.6x wasted BW) and major memory stalls. Let me optimize with better memory access patterns:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W;\n const int half_k = K / 2;\n \n // Use 1D thread indexing where consecutive threads access consecutive positions\n // in row-major order (better coalescing)\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * L;\n \n if (idx >= total) return;\n \n // Compute position in row-major layout\n const int spatial_idx = idx % L;\n const int c_idx = (idx / L) % C;\n const int b_idx = idx / (C * L);\n \n const int h_idx = spatial_idx / W;\n const int w_idx = spatial_idx % W;\n \n // Load weights into registers for this channel\n scalar_t w_regs[16]; // Assuming K <= 16\n for (int k = 0; k < K; k++) {\n w_regs[k] = weight[c_idx * K + k];\n }\n scalar_t b_val = bias[c_idx];\n \n // Base pointer for this (batch, channel)\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_ptr = out + idx;\n \n scalar_t acc = scalar_t(0);\n \n // ===== LR scan: row-major left-to-right =====\n // Direct row-major access - good coalescing\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = spatial_idx - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_regs[k] * x_base[seq_off];\n }\n }\n \n // ===== RL scan: flip W =====\n // For position (h,w), scan pos = h*W + (W-1-w)\n // Then unflip output\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx);\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int x_idx = h_off * W + (W - 1 - w_off);\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== TB scan: columns as sequences =====\n {\n const int seq_pos = w_idx * H + h_idx;\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== BT scan: flip H, columns as sequences =====\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx);\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped;\n const int x_idx = h_off_original * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // Bias is added 4 times (once per scan)\n out_ptr[0] = acc + (scalar_t)4.0 * b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n \n auto out = torch::empty_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, K/2);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 9 · 1 tool call(s) · 89.4s turn · 13.0s LLM · tokens in=16,632 · out=1,601 · total=18,233 · 7,211 chars (click to expand)
turn 989.4s turn · 13.0s LLM · 76.4s tools · tokens in=16,632 · out=1,601 · total=18,233
reasoning
Let me test correctness again with this version that uses empty_like instead of zeros_like to avoid the initialization overhead.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W;\n const int half_k = K / 2;\n \n // Use 1D thread indexing where consecutive threads access consecutive positions\n // in row-major order (better coalescing)\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * L;\n \n if (idx >= total) return;\n \n // Compute position in row-major layout\n const int spatial_idx = idx % L;\n const int c_idx = (idx / L) % C;\n const int b_idx = idx / (C * L);\n \n const int h_idx = spatial_idx / W;\n const int w_idx = spatial_idx % W;\n \n // Load weights into registers for this channel\n scalar_t w_regs[16]; // Assuming K <= 16\n for (int k = 0; k < K; k++) {\n w_regs[k] = weight[c_idx * K + k];\n }\n scalar_t b_val = bias[c_idx];\n \n // Base pointer for this (batch, channel)\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_ptr = out + idx;\n \n scalar_t acc = scalar_t(0);\n \n // ===== LR scan: row-major left-to-right =====\n // Direct row-major access - good coalescing\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = spatial_idx - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_regs[k] * x_base[seq_off];\n }\n }\n \n // ===== RL scan: flip W =====\n // For position (h,w), scan pos = h*W + (W-1-w)\n // Then unflip output\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx);\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int x_idx = h_off * W + (W - 1 - w_off);\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== TB scan: columns as sequences =====\n {\n const int seq_pos = w_idx * H + h_idx;\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== BT scan: flip H, columns as sequences =====\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx);\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped;\n const int x_idx = h_off_original * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // Bias is added 4 times (once per scan)\n out_ptr[0] = acc + (scalar_t)4.0 * b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n \n auto out = torch::empty_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, K/2);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=1.91e-06 mean_abs_err=8.45e-08 max_rel_err=6.28e-03
turn 10 · 1 tool call(s) · 175.4s turn · 13.8s LLM · tokens in=18,268 · out=1,639 · total=19,907 · 9,330 chars (click to expand)
turn 10175.4s turn · 13.8s LLM · 161.6s tools · tokens in=18,268 · out=1,639 · total=19,907
reasoning
Good, still correct. The key change was using `torch::empty_like` instead of `torch::zeros_like` to avoid the initialization overhead. Now let me profile again to see if there's improvement and understand the memory access patterns better.
assistantGood, still correct. Let me profile this improved version:
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W;\n const int half_k = K / 2;\n \n // Use 1D thread indexing where consecutive threads access consecutive positions\n // in row-major order (better coalescing)\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * L;\n \n if (idx >= total) return;\n \n // Compute position in row-major layout\n const int spatial_idx = idx % L;\n const int c_idx = (idx / L) % C;\n const int b_idx = idx / (C * L);\n \n const int h_idx = spatial_idx / W;\n const int w_idx = spatial_idx % W;\n \n // Load weights into registers for this channel\n scalar_t w_regs[16]; // Assuming K <= 16\n for (int k = 0; k < K; k++) {\n w_regs[k] = weight[c_idx * K + k];\n }\n scalar_t b_val = bias[c_idx];\n \n // Base pointer for this (batch, channel)\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_ptr = out + idx;\n \n scalar_t acc = scalar_t(0);\n \n // ===== LR scan: row-major left-to-right =====\n // Direct row-major access - good coalescing\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = spatial_idx - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_regs[k] * x_base[seq_off];\n }\n }\n \n // ===== RL scan: flip W =====\n // For position (h,w), scan pos = h*W + (W-1-w)\n // Then unflip output\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx);\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int x_idx = h_off * W + (W - 1 - w_off);\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== TB scan: columns as sequences =====\n {\n const int seq_pos = w_idx * H + h_idx;\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== BT scan: flip H, columns as sequences =====\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx);\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped;\n const int x_idx = h_off_original * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // Bias is added 4 times (once per scan)\n out_ptr[0] = acc + (scalar_t)4.0 * b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n \n auto out = torch::empty_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, K/2);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::add 10435.0μs (95%) calls=1 #2: aten::empty_like 240.0μs (2%) calls=1 #3: aten::empty_strided 221.0μs (2%) calls=1 #4: aten::squeeze 108.0μs (1%) calls=1 #5: aten::as_strided 14.0μs (0%) calls=1 --- Timing --- GPU time: 14.53 μs [↓2.8μs ok] --- Memory Bandwidth --- DRAM BW: 639.5/3350 GB/s (19.1%) [↑0.1% ok] read=639.2 write=0.3 GB/s Hit rates: L2=135.5% --- Compute Throughput --- Dominant pipe: FP32 util=29.0% [↓3.9% REGRESSED] Pipe util: FMA=29.0%, Tensor=0.2% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 80.8% [↓9.6% REGRESSED] Eligible warps/cycle: 3.54 Launch: regs/thread=64, smem/blk=2048B, block=384, grid=1280 --- Memory Access Quality --- Global ld coalescing: 19.49 sectors/req (19.5x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 5091.4% #################### short_scoreboard 459.3% #################### mio_throttle 117.1% #################### --- Optimization Hints --- -> 5091% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=19.5 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=19.5x (ideal=1.0) -> 19x 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: 17.34→14.53μs (↓2.82) ok DRAM BW%: 18.98→19.09% (↑0.11) ok Compute%: 32.88→28.98% (↓3.90) REGRESSED Occupancy: 90.43→80.83% (↓9.60) REGRESSED Eligible warps/cyc: 3.73→3.54 (↓0.19) REGRESSED Ld sectors/req: 18.59→19.49 (↑0.90) REGRESSED L2 hit%: 220.62→135.52% (↓85.10) REGRESSED
turn 11 · 1 tool call(s) · 166.8s turn · 21.0s LLM · tokens in=20,602 · out=2,243 · total=22,845 · 9,984 chars (click to expand)
turn 11166.8s turn · 21.0s LLM · 145.8s tools · tokens in=20,602 · out=2,243 · total=22,845
reasoning
The memory coalescing is still terrible (19.5x wasted BW). The issue is that threads in a warp don't access contiguous memory when doing the RL, TB, BT scans due to the index calculations. The fundamental problem is that we need 12 memory loads per thread (4 scans × 3 kernel elements), but the indices for non-LR scans don't follow row-major order. I need to rethink this. The key insight is: - For LR scan, threads access contiguous memory (good coalescing) - For RL scan, threads access memory in reverse order within each row (bad coalescing) - For TB/BT scans, threads access column-wise which is strided by W (terrible coalescing) One approach is to use shared memory to load the input in a coalesced manner, then compute all scans from shared memory. This would reduce global memory traffic. Let me try a tiled approach where each block handles a tile of the spatial dimensions and loads the required input into shared memory.
assistantThe memory coalescing is still poor because the TB/BT scans access memory column-wise which is strided. Let me try using shared memory tiling to improve:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\n// Each block handles one (batch, channel) and processes a tile of spatial positions\n// Threads cooperate to load input tile into shared memory\ntemplate <typename scalar_t, int TILE_H, int TILE_W, int K_MAX>\n__global__ void cross_scan_conv_tiled_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W;\n const int TILE_L = TILE_H * TILE_W;\n const int half_k = K / 2;\n \n // Block handles one (batch, channel)\n const int bc_idx = blockIdx.x; // Range: B*C\n const int b_idx = bc_idx / C;\n const int c_idx = bc_idx % C;\n \n // Tile index within spatial dimensions\n const int tile_idx = blockIdx.y; // Range: (H*W) / TILE_L\n const int tile_start = tile_idx * TILE_L;\n \n // Thread index within tile\n const int tid = threadIdx.x;\n \n // Position within tile (row-major within tile)\n const int tile_h = (tid % TILE_L) / TILE_W;\n const int tile_w = (tid % TILE_L) % TILE_W;\n \n // Global spatial position\n const int spatial_idx = tile_start + tid;\n const int h_idx = spatial_idx / W;\n const int w_idx = spatial_idx % W;\n \n // Shared memory for input tile + halo for convolution\n // Need halo of 'pad' pixels on each side\n __shared__ scalar_t smem_in[TILE_L];\n \n // Load weights into registers\n scalar_t w_regs[K_MAX];\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n w_regs[k] = weight[c_idx * K + k];\n }\n }\n scalar_t b_val = bias[c_idx];\n \n // Base pointers\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_base = out + b_idx * C * L + c_idx * L;\n \n // Cooperative load of input tile into shared memory\n // Load in row-major order for coalescing\n if (spatial_idx < L) {\n smem_in[tid] = x_base[spatial_idx];\n }\n __syncthreads();\n \n // Each thread computes one output\n if (spatial_idx >= L) return;\n \n scalar_t acc = scalar_t(0);\n \n // Local position within tile\n const int local_idx = tid;\n const int local_h = local_idx / TILE_W;\n const int local_w = local_idx % TILE_W;\n \n // ===== LR scan: row-major =====\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = spatial_idx - pad + k;\n const int local_off = local_idx - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n // Check if in shared memory tile\n if (local_off >= 0 && local_off < TILE_L) {\n acc += w_regs[k] * smem_in[local_off];\n } else {\n // Halo - load from global memory\n acc += w_regs[k] * x_base[seq_off];\n }\n }\n }\n }\n \n // ===== RL scan: flip W =====\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx);\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int w_flipped = W - 1 - w_off;\n const int x_idx = h_off * W + w_flipped;\n acc += w_regs[k] * x_base[x_idx]; // Global load - not easily tiled\n }\n }\n }\n }\n \n // ===== TB scan: columns as sequences =====\n {\n const int seq_pos = w_idx * H + h_idx;\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off;\n acc += w_regs[k] * x_base[x_idx]; // Column access - scattered\n }\n }\n }\n }\n \n // ===== BT scan: flip H, columns as sequences =====\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx);\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped;\n const int x_idx = h_off_original * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n }\n \n out_base[spatial_idx] = acc + (scalar_t)4.0 * b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n const int pad = K / 2;\n \n auto out = torch::empty_like(x);\n \n const int L = H * W;\n const int TILE_H = 16;\n const int TILE_W = 16;\n const int TILE_L = TILE_H * TILE_W;\n \n dim3 grid(B * C, (L + TILE_L - 1) / TILE_L);\n const int threads = TILE_L;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_tiled_kernel<scalar_t, TILE_H, TILE_W, 16><<<grid, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, pad);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3', '-maxrregcount=128'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 12 · 1 tool call(s) · 75.2s turn · 18.6s LLM · tokens in=22,681 · out=2,112 · total=24,793 · 9,445 chars (click to expand)
turn 1275.2s turn · 18.6s LLM · 56.6s tools · tokens in=22,681 · out=2,112 · total=24,793
reasoning
The user is suggesting I should submit now if I have a correct kernel. Let me check - the tiled kernel just compiled, but I haven't verified its correctness yet. Let me run the correctness check first, and if it passes, I can either try to optimize more or submit. Actually, looking at the previous profile, the kernel was already working correctly and had good performance. The profiling showed 14.53μs GPU time. Let me run correctness on this tiled version and see if it works, then decide whether to submit or optimize further.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\n// Each block handles one (batch, channel) and processes a tile of spatial positions\n// Threads cooperate to load input tile into shared memory\ntemplate <typename scalar_t, int TILE_H, int TILE_W, int K_MAX>\n__global__ void cross_scan_conv_tiled_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W;\n const int TILE_L = TILE_H * TILE_W;\n const int half_k = K / 2;\n \n // Block handles one (batch, channel)\n const int bc_idx = blockIdx.x; // Range: B*C\n const int b_idx = bc_idx / C;\n const int c_idx = bc_idx % C;\n \n // Tile index within spatial dimensions\n const int tile_idx = blockIdx.y; // Range: (H*W) / TILE_L\n const int tile_start = tile_idx * TILE_L;\n \n // Thread index within tile\n const int tid = threadIdx.x;\n \n // Position within tile (row-major within tile)\n const int tile_h = (tid % TILE_L) / TILE_W;\n const int tile_w = (tid % TILE_L) % TILE_W;\n \n // Global spatial position\n const int spatial_idx = tile_start + tid;\n const int h_idx = spatial_idx / W;\n const int w_idx = spatial_idx % W;\n \n // Shared memory for input tile + halo for convolution\n // Need halo of 'pad' pixels on each side\n __shared__ scalar_t smem_in[TILE_L];\n \n // Load weights into registers\n scalar_t w_regs[K_MAX];\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n w_regs[k] = weight[c_idx * K + k];\n }\n }\n scalar_t b_val = bias[c_idx];\n \n // Base pointers\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_base = out + b_idx * C * L + c_idx * L;\n \n // Cooperative load of input tile into shared memory\n // Load in row-major order for coalescing\n if (spatial_idx < L) {\n smem_in[tid] = x_base[spatial_idx];\n }\n __syncthreads();\n \n // Each thread computes one output\n if (spatial_idx >= L) return;\n \n scalar_t acc = scalar_t(0);\n \n // Local position within tile\n const int local_idx = tid;\n const int local_h = local_idx / TILE_W;\n const int local_w = local_idx % TILE_W;\n \n // ===== LR scan: row-major =====\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = spatial_idx - pad + k;\n const int local_off = local_idx - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n // Check if in shared memory tile\n if (local_off >= 0 && local_off < TILE_L) {\n acc += w_regs[k] * smem_in[local_off];\n } else {\n // Halo - load from global memory\n acc += w_regs[k] * x_base[seq_off];\n }\n }\n }\n }\n \n // ===== RL scan: flip W =====\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx);\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int w_flipped = W - 1 - w_off;\n const int x_idx = h_off * W + w_flipped;\n acc += w_regs[k] * x_base[x_idx]; // Global load - not easily tiled\n }\n }\n }\n }\n \n // ===== TB scan: columns as sequences =====\n {\n const int seq_pos = w_idx * H + h_idx;\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off;\n acc += w_regs[k] * x_base[x_idx]; // Column access - scattered\n }\n }\n }\n }\n \n // ===== BT scan: flip H, columns as sequences =====\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx);\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped;\n const int x_idx = h_off_original * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n }\n \n out_base[spatial_idx] = acc + (scalar_t)4.0 * b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n const int pad = K / 2;\n \n auto out = torch::empty_like(x);\n \n const int L = H * W;\n const int TILE_H = 16;\n const int TILE_W = 16;\n const int TILE_L = TILE_H * TILE_W;\n \n dim3 grid(B * C, (L + TILE_L - 1) / TILE_L);\n const int threads = TILE_L;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_tiled_kernel<scalar_t, TILE_H, TILE_W, 16><<<grid, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, pad);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3', '-maxrregcount=128'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=1.91e-06 mean_abs_err=8.45e-08 max_rel_err=6.28e-03
turn 13 · 1 tool call(s) · 172.1s turn · 16.6s LLM · tokens in=24,771 · out=2,028 · total=26,799 · 10,938 chars (click to expand)
turn 13172.1s turn · 16.6s LLM · 155.6s tools · tokens in=24,771 · out=2,028 · total=26,799
reasoning
The kernel is correct. I should profile it to see if there's any improvement, and then decide whether to submit or try further optimizations.
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\n// Each block handles one (batch, channel) and processes a tile of spatial positions\n// Threads cooperate to load input tile into shared memory\ntemplate <typename scalar_t, int TILE_H, int TILE_W, int K_MAX>\n__global__ void cross_scan_conv_tiled_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W;\n const int TILE_L = TILE_H * TILE_W;\n const int half_k = K / 2;\n \n // Block handles one (batch, channel)\n const int bc_idx = blockIdx.x; // Range: B*C\n const int b_idx = bc_idx / C;\n const int c_idx = bc_idx % C;\n \n // Tile index within spatial dimensions\n const int tile_idx = blockIdx.y; // Range: (H*W) / TILE_L\n const int tile_start = tile_idx * TILE_L;\n \n // Thread index within tile\n const int tid = threadIdx.x;\n \n // Position within tile (row-major within tile)\n const int tile_h = (tid % TILE_L) / TILE_W;\n const int tile_w = (tid % TILE_L) % TILE_W;\n \n // Global spatial position\n const int spatial_idx = tile_start + tid;\n const int h_idx = spatial_idx / W;\n const int w_idx = spatial_idx % W;\n \n // Shared memory for input tile + halo for convolution\n // Need halo of 'pad' pixels on each side\n __shared__ scalar_t smem_in[TILE_L];\n \n // Load weights into registers\n scalar_t w_regs[K_MAX];\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n w_regs[k] = weight[c_idx * K + k];\n }\n }\n scalar_t b_val = bias[c_idx];\n \n // Base pointers\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_base = out + b_idx * C * L + c_idx * L;\n \n // Cooperative load of input tile into shared memory\n // Load in row-major order for coalescing\n if (spatial_idx < L) {\n smem_in[tid] = x_base[spatial_idx];\n }\n __syncthreads();\n \n // Each thread computes one output\n if (spatial_idx >= L) return;\n \n scalar_t acc = scalar_t(0);\n \n // Local position within tile\n const int local_idx = tid;\n const int local_h = local_idx / TILE_W;\n const int local_w = local_idx % TILE_W;\n \n // ===== LR scan: row-major =====\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = spatial_idx - pad + k;\n const int local_off = local_idx - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n // Check if in shared memory tile\n if (local_off >= 0 && local_off < TILE_L) {\n acc += w_regs[k] * smem_in[local_off];\n } else {\n // Halo - load from global memory\n acc += w_regs[k] * x_base[seq_off];\n }\n }\n }\n }\n \n // ===== RL scan: flip W =====\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx);\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int w_flipped = W - 1 - w_off;\n const int x_idx = h_off * W + w_flipped;\n acc += w_regs[k] * x_base[x_idx]; // Global load - not easily tiled\n }\n }\n }\n }\n \n // ===== TB scan: columns as sequences =====\n {\n const int seq_pos = w_idx * H + h_idx;\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off;\n acc += w_regs[k] * x_base[x_idx]; // Column access - scattered\n }\n }\n }\n }\n \n // ===== BT scan: flip H, columns as sequences =====\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx);\n #pragma unroll\n for (int k = 0; k < K_MAX; k++) {\n if (k < K) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped;\n const int x_idx = h_off_original * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n }\n \n out_base[spatial_idx] = acc + (scalar_t)4.0 * b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n const int pad = K / 2;\n \n auto out = torch::empty_like(x);\n \n const int L = H * W;\n const int TILE_H = 16;\n const int TILE_W = 16;\n const int TILE_L = TILE_H * TILE_W;\n \n dim3 grid(B * C, (L + TILE_L - 1) / TILE_L);\n const int threads = TILE_L;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_tiled_kernel<scalar_t, TILE_H, TILE_W, 16><<<grid, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, pad);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3', '-maxrregcount=128'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::add 9657.0μs (94%) calls=1 #2: aten::empty_like 267.0μs (3%) calls=1 #3: aten::empty_strided 249.0μs (2%) calls=1 #4: aten::squeeze 101.0μs (1%) calls=1 #5: aten::as_strided 8.0μs (0%) calls=1 --- Timing --- GPU time: 16.13 μs [↑1.6μs REGRESSED] --- Memory Bandwidth --- DRAM BW: 603.7/3350 GB/s (18.0%) [↓1.1% REGRESSED] read=603.7 write=0.0 GB/s Hit rates: L2=118.7% --- Compute Throughput --- Dominant pipe: FP32 util=18.9% [↓10.1% REGRESSED] Pipe util: FMA=18.9%, Tensor=0.0% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 67.1% [↓13.8% REGRESSED] Eligible warps/cycle: 1.92 Launch: regs/thread=72, smem/blk=3072B, block=384, grid=1280 --- Memory Access Quality --- Global ld coalescing: 19.25 sectors/req (19.3x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 5043.4% #################### short_scoreboard 334.6% #################### mio_throttle 57.9% ########### --- Optimization Hints --- -> 5043% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=19.3 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=19.3x (ideal=1.0) -> 19x 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: 14.53→16.13μs (↑1.60) REGRESSED DRAM BW%: 19.09→18.02% (↓1.07) REGRESSED Compute%: 28.98→18.93% (↓10.05) REGRESSED Occupancy: 80.83→67.08% (↓13.75) REGRESSED Eligible warps/cyc: 3.54→1.92 (↓1.62) REGRESSED Ld sectors/req: 19.49→19.25 (↓0.24) ok L2 hit%: 135.52→118.67% (↓16.85) REGRESSED
turn 14 · FINAL · 1 tool call(s) · 251.6s turn · 14.7s LLM · tokens in=27,609 · out=1,730 · total=29,339 · 8,041 chars (click to expand)
turn 14251.6s turn · 14.7s LLM · 236.9s tools · tokens in=27,609 · out=1,730 · total=29,339 · FINAL
reasoning
The kernel is correct and passes all correctness tests. While the profiling shows there are memory access pattern issues (especially for the TB/BT scans which access column-wise), the kernel is functional and provides a fused implementation. Let me submit the current working kernel. The tiled version regressed slightly, so I should submit the simpler version that had better performance (14.53 μs vs 16.13 μs). Looking at my results: - First simple kernel: 17.34 μs - Second kernel with empty_like instead of zeros_like: 14.53 μs - Tiled kernel: 16.13 μs (regressed) So the best performing correct kernel was the one with empty_like that had GPU time of 14.53 μs. Let me submit that version.
call → submit_kernel
callsubmit_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\ntemplate <typename scalar_t>\n__global__ void cross_scan_conv_kernel(\n const scalar_t* __restrict__ x,\n const scalar_t* __restrict__ weight,\n const scalar_t* __restrict__ bias,\n scalar_t* __restrict__ out,\n const int B, const int C, const int H, const int W, const int K,\n const int pad) {\n \n const int L = H * W;\n \n // Use 1D thread indexing where consecutive threads access consecutive positions\n // in row-major order (better coalescing)\n const int idx = blockIdx.x * blockDim.x + threadIdx.x;\n const int total = B * C * L;\n \n if (idx >= total) return;\n \n // Compute position in row-major layout\n const int spatial_idx = idx % L;\n const int c_idx = (idx / L) % C;\n const int b_idx = idx / (C * L);\n \n const int h_idx = spatial_idx / W;\n const int w_idx = spatial_idx % W;\n \n // Load weights into registers for this channel\n scalar_t w_regs[16]; // Assuming K <= 16\n for (int k = 0; k < K; k++) {\n w_regs[k] = weight[c_idx * K + k];\n }\n scalar_t b_val = bias[c_idx];\n \n // Base pointer for this (batch, channel)\n const scalar_t* x_base = x + b_idx * C * L + c_idx * L;\n scalar_t* out_ptr = out + idx;\n \n scalar_t acc = scalar_t(0);\n \n // ===== LR scan: row-major left-to-right =====\n // Direct row-major access - good coalescing\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = spatial_idx - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n acc += w_regs[k] * x_base[seq_off];\n }\n }\n \n // ===== RL scan: flip W =====\n // For position (h,w), scan pos = h*W + (W-1-w)\n // Then unflip output\n {\n const int seq_pos = h_idx * W + (W - 1 - w_idx);\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int h_off = seq_off / W;\n const int w_off = seq_off % W;\n const int x_idx = h_off * W + (W - 1 - w_off);\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== TB scan: columns as sequences =====\n {\n const int seq_pos = w_idx * H + h_idx;\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off = seq_off % H;\n const int x_idx = h_off * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // ===== BT scan: flip H, columns as sequences =====\n {\n const int seq_pos = w_idx * H + (H - 1 - h_idx);\n #pragma unroll\n for (int k = 0; k < K; k++) {\n const int seq_off = seq_pos - pad + k;\n if (seq_off >= 0 && seq_off < L) {\n const int w_off = seq_off / H;\n const int h_off_flipped = seq_off % H;\n const int h_off_original = H - 1 - h_off_flipped;\n const int x_idx = h_off_original * W + w_off;\n acc += w_regs[k] * x_base[x_idx];\n }\n }\n }\n \n // Bias is added 4 times (once per scan)\n out_ptr[0] = acc + (scalar_t)4.0 * b_val;\n}\n\ntorch::Tensor cross_scan_conv_cuda(\n torch::Tensor x,\n torch::Tensor weight,\n torch::Tensor bias,\n int64_t kernel_size) {\n \n const int B = x.size(0);\n const int C = x.size(1);\n const int H = x.size(2);\n const int W = x.size(3);\n const int K = kernel_size;\n \n auto out = torch::empty_like(x);\n \n const int total = B * C * H * W;\n const int threads = 256;\n const int blocks = (total + threads - 1) / threads;\n \n AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), \"cross_scan_conv_cuda\", ([&] {\n cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(\n x.data_ptr<scalar_t>(),\n weight.data_ptr<scalar_t>(),\n bias.data_ptr<scalar_t>(),\n out.data_ptr<scalar_t>(),\n B, C, H, W, K, K/2);\n }));\n \n return out;\n}\n\"\"\"\n\ncpp_source = r\"\"\"\ntorch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);\n\"\"\"\n\nmodule = load_inline(\n name='cross_scan_conv_inline',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['cross_scan_conv_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\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, \"use odd kernel_size for same-length conv1d\"\n self.channels = channels\n self.kernel_size = kernel_size\n pad = kernel_size // 2\n self.dw_conv = nn.Conv1d(\n channels,\n channels,\n kernel_size,\n padding=pad,\n groups=channels,\n bias=True,\n )\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, C, H, W = x.shape\n assert C == self.channels\n \n # Extract weight and bias from Conv1d\n weight = self.dw_conv.weight.data.squeeze(1) # (C, 1, K) -> (C, K)\n bias = self.dw_conv.bias.data # (C,)\n \n x_cuda = x.contiguous()\n weight_cuda = weight.contiguous()\n bias_cuda = bias.contiguous()\n \n out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)\n \n return x + out" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (3 / 3) correctness trials all passed. Kernel runtime: 0.02 μs Runtime stats: mean=0.02μs median=?μs std=0.00μs Numerical precision: max_abs_err=1.91e-06 mean_abs_err=8.45e-08 max_rel_err=6.28e-03 Memory: 36.0 MB peak (ref: 42.0 MB, ratio: 0.8572x) Kernel launches: 5 (ref: 114, fusion ratio: 22.8) SOL score: 0.2951 Flagged for excessive speedup — this submission may have been rejected by automated review.
final submitted kernel (188 lines, 5,764 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

cuda_source = r"""
#include <torch/extension.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include <vector>

template <typename scalar_t>
__global__ void cross_scan_conv_kernel(
    const scalar_t* __restrict__ x,
    const scalar_t* __restrict__ weight,
    const scalar_t* __restrict__ bias,
    scalar_t* __restrict__ out,
    const int B, const int C, const int H, const int W, const int K,
    const int pad) {
    
    const int L = H * W;
    
    // Use 1D thread indexing where consecutive threads access consecutive positions
    // in row-major order (better coalescing)
    const int idx = blockIdx.x * blockDim.x + threadIdx.x;
    const int total = B * C * L;
    
    if (idx >= total) return;
    
    // Compute position in row-major layout
    const int spatial_idx = idx % L;
    const int c_idx = (idx / L) % C;
    const int b_idx = idx / (C * L);
    
    const int h_idx = spatial_idx / W;
    const int w_idx = spatial_idx % W;
    
    // Load weights into registers for this channel
    scalar_t w_regs[16];  // Assuming K <= 16
    for (int k = 0; k < K; k++) {
        w_regs[k] = weight[c_idx * K + k];
    }
    scalar_t b_val = bias[c_idx];
    
    // Base pointer for this (batch, channel)
    const scalar_t* x_base = x + b_idx * C * L + c_idx * L;
    scalar_t* out_ptr = out + idx;
    
    scalar_t acc = scalar_t(0);
    
    // ===== LR scan: row-major left-to-right =====
    // Direct row-major access - good coalescing
    #pragma unroll
    for (int k = 0; k < K; k++) {
        const int seq_off = spatial_idx - pad + k;
        if (seq_off >= 0 && seq_off < L) {
            acc += w_regs[k] * x_base[seq_off];
        }
    }
    
    // ===== RL scan: flip W =====
    // For position (h,w), scan pos = h*W + (W-1-w)
    // Then unflip output
    {
        const int seq_pos = h_idx * W + (W - 1 - w_idx);
        #pragma unroll
        for (int k = 0; k < K; k++) {
            const int seq_off = seq_pos - pad + k;
            if (seq_off >= 0 && seq_off < L) {
                const int h_off = seq_off / W;
                const int w_off = seq_off % W;
                const int x_idx = h_off * W + (W - 1 - w_off);
                acc += w_regs[k] * x_base[x_idx];
            }
        }
    }
    
    // ===== TB scan: columns as sequences =====
    {
        const int seq_pos = w_idx * H + h_idx;
        #pragma unroll
        for (int k = 0; k < K; k++) {
            const int seq_off = seq_pos - pad + k;
            if (seq_off >= 0 && seq_off < L) {
                const int w_off = seq_off / H;
                const int h_off = seq_off % H;
                const int x_idx = h_off * W + w_off;
                acc += w_regs[k] * x_base[x_idx];
            }
        }
    }
    
    // ===== BT scan: flip H, columns as sequences =====
    {
        const int seq_pos = w_idx * H + (H - 1 - h_idx);
        #pragma unroll
        for (int k = 0; k < K; k++) {
            const int seq_off = seq_pos - pad + k;
            if (seq_off >= 0 && seq_off < L) {
                const int w_off = seq_off / H;
                const int h_off_flipped = seq_off % H;
                const int h_off_original = H - 1 - h_off_flipped;
                const int x_idx = h_off_original * W + w_off;
                acc += w_regs[k] * x_base[x_idx];
            }
        }
    }
    
    // Bias is added 4 times (once per scan)
    out_ptr[0] = acc + (scalar_t)4.0 * b_val;
}

torch::Tensor cross_scan_conv_cuda(
    torch::Tensor x,
    torch::Tensor weight,
    torch::Tensor bias,
    int64_t kernel_size) {
    
    const int B = x.size(0);
    const int C = x.size(1);
    const int H = x.size(2);
    const int W = x.size(3);
    const int K = kernel_size;
    
    auto out = torch::empty_like(x);
    
    const int total = B * C * H * W;
    const int threads = 256;
    const int blocks = (total + threads - 1) / threads;
    
    AT_DISPATCH_FLOATING_TYPES(x.scalar_type(), "cross_scan_conv_cuda", ([&] {
        cross_scan_conv_kernel<scalar_t><<<blocks, threads>>>(
            x.data_ptr<scalar_t>(),
            weight.data_ptr<scalar_t>(),
            bias.data_ptr<scalar_t>(),
            out.data_ptr<scalar_t>(),
            B, C, H, W, K, K/2);
    }));
    
    return out;
}
"""

cpp_source = r"""
torch::Tensor cross_scan_conv_cuda(torch::Tensor x, torch::Tensor weight, torch::Tensor bias, int64_t kernel_size);
"""

module = load_inline(
    name='cross_scan_conv_inline',
    cpp_sources=cpp_source,
    cuda_sources=cuda_source,
    functions=['cross_scan_conv_cuda'],
    extra_cuda_cflags=['-O3'],
    verbose=True
)


class ModelNew(nn.Module):
    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
        self.kernel_size = kernel_size
        pad = kernel_size // 2
        self.dw_conv = nn.Conv1d(
            channels,
            channels,
            kernel_size,
            padding=pad,
            groups=channels,
            bias=True,
        )

    def forward(self, x: torch.Tensor) -> torch.Tensor:
        B, C, H, W = x.shape
        assert C == self.channels
        
        # Extract weight and bias from Conv1d
        weight = self.dw_conv.weight.data.squeeze(1)  # (C, 1, K) -> (C, K)
        bias = self.dw_conv.bias.data  # (C,)
        
        x_cuda = x.contiguous()
        weight_cuda = weight.contiguous()
        bias_cuda = bias.contiguous()
        
        out = module.cross_scan_conv_cuda(x_cuda, weight_cuda, bias_cuda, self.kernel_size)
        
        return x + out