FW-GLM-5-1 · popcorn · pop_l123_all_gpt
correct 4_MambaBlock.py
model
FW-GLM-5-1
turns / max
15 / 15
tool calls
15
tokens (total)
446214
wall clock
4770.7s
truncated
no
backend
cuda fp32
variant
popcorn
runtime
92.60 μs
ref runtime
129.00 μs
speedup
1.39x
started
2026-05-11T19:47:01Z
timingkernelbench.timing
kernel runtime
92.60 μs
ref runtime
129.00 μs
speedup
1.39x
kernel mean / median / std
92.60 / — / 0.04 μs
ref mean / median / std
129.00 / — / 35.80 μs
numerical precisioneval_kernel_against_ref
max abs error
2.86e-06
mean abs error
3.12e-07
max rel error
1.83
mean rel error
3.87e-06
gpu memoryextended_metrics.measure_memory
kernel peak
746.22 MB
ref peak
3690.75 MB
kernel / ref
0.20x
kernel launches / fusiontorch.profiler
kernel launches
47
ref launches
26754
fusion ratio (ref / kernel)
569.23x
total cuda time
1815 μs
energyNVML (pynvml)
kernel mJ / run
11358.76
ref mJ / run
10632.80
ratio (ref / kernel)
0.94x
avg power
122.70 W
ref avg power
122.53 W
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
1.000
dram util %
100.0%
compute util %
17.9%
bottleneck
memory-bound
dominant pipe
tensor-core
arithmetic intensity
—
ridge point
295.22
roofline / occupancynsight_hardware_counters
dram bandwidth
22542.59 GB/s
dram util %
100.0%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
1316.8%
bottleneck
memory-bound
dominant pipe %
17.9%
arithmetic intensity
—
ridge point
295.22
L1 hit %
—
L2 hit %
1062.6%
ld sectors / req
226.33
st sectors / req
—
regs / thread
457
smem / block
21504 B
block size
3520
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
121177.3%
short_scoreboard
6091.5%
mio_throttle
5466.7%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn

class Model(nn.Module):
    """
    Full Mamba block: RMSNorm -> linear expansion into two branches -> causal depthwise Conv1d ->
    SiLU -> selective scan (input-dependent SSM) -> elementwise gate -> linear projection -> residual.
    This is the complete Mamba architecture block as described in Gu & Dao (2023), used in Mamba,
    Caduceus (bidirectional DNA), and various protein/genomic language models.

    Args:
        d_model (int): Model dimension.
        d_state (int): SSM state dimension (N).
        d_conv (int): Causal convolution kernel size.
        expand (int): Expansion factor for inner dimension.
    """
    def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):
        super(Model, self).__init__()
        self.d_model = d_model
        self.d_inner = d_model * expand
        self.d_state = d_state
        self.d_conv = d_conv

        self.norm = nn.RMSNorm(d_model)
        self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)
        self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,
                                padding=d_conv - 1, groups=self.d_inner, bias=True)
        self.activation = nn.SiLU()

        self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))
        self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)
        self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)
        self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)
        self.D = nn.Parameter(torch.ones(self.d_inner))

        self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)

    def forward(self, x: torch.Tensor) -> torch.Tensor:
        B, L, D = x.shape
        residual = x
        x = self.norm(x)

        xz = self.in_proj(x)
        x_branch, z = xz.chunk(2, dim=-1)

        x_branch = x_branch.transpose(1, 2)
        x_branch = self.conv1d(x_branch)[..., :L]
        x_branch = x_branch.transpose(1, 2)
        x_branch = self.activation(x_branch)

        N = self.d_state
        delta = torch.nn.functional.softplus(self.proj_delta(x_branch))
        B_t = self.proj_B(x_branch)
        C_t = self.proj_C(x_branch)

        A = -torch.exp(self.A_log)
        dA = torch.exp(delta.unsqueeze(-1) * A.unsqueeze(0).unsqueeze(0))
        dB = delta.unsqueeze(-1) * B_t.unsqueeze(2)
        x_db = x_branch.unsqueeze(-1) * dB

        h = torch.zeros(B, self.d_inner, N, device=x.device, dtype=x.dtype)
        outputs = []
        for t in range(L):
            h = dA[:, t] * h + x_db[:, t]
            y_t = (h * C_t[:, t].unsqueeze(1)).sum(dim=-1)
            outputs.append(y_t)
        y = torch.stack(outputs, dim=1)
        y = y + x_branch * self.D.unsqueeze(0).unsqueeze(0)

        z = self.activation(z)
        y = y * z
        y = self.out_proj(y)
        y = y + residual
        return y

batch_size = 16
d_model = 256
d_state = 16
d_conv = 4
expand = 2
seq_len = 2048

def get_inputs():
    return [torch.randn(popcorn_pri.jitter_int(batch_size), popcorn_pri.jitter_int(seq_len), d_model)]

def get_init_inputs():
    return [d_model, d_state, d_conv, expand]
turn 0348.1s turn · 3.5s LLM · 344.6s tools · tokens in=2,622 · out=236 · total=2,858
reasoning
Let me analyze the Mamba block architecture to understand what needs to be optimized: 1. **RMSNorm**: Normalization layer 2. **Linear projection (in_proj)**: Projects to 2*d_inner dimensions 3. **Split into x_branch and z**: The input is split into two branches 4. **Causal Conv1D**: Depthwise convolution with causal padding 5. **SiLU activation**: On x_branch 6. **Selective Scan (SSM)**: The core recurrent computation - Compute delta, B_t, C_t from projections - Compute A from A_log - Sequential scan over time dimension 7. **Skip connection**: Add D * x_branch to output 8. **Gating**: y = y * silu(z) 9. **Output projection**: Linear back to d_model 10. **Residual connection**: Add input The main computational bottleneck is likely the selective scan which is a sequential operation over the time dimension. This is the key part to optimize with CUDA. Let me start by getting GPU specs to understand the hardware I'm working with.
call → get_gpu_specs
callget_gpu_specs {}
result ← get_gpu_specs (ok)
okget_gpu_specs GPU specs for NVIDIA H100 80GB HBM3: total memory (runtime): 79.1 GB spec entry: H100 GPU Architecture: Hopper GPU Memory: 80GB Memory Bandwidth: 3.35 TB/s FP64 TFLOPS: 34 FP64 Tensor Core TFLOPS: 67 FP32 TFLOPS: 67 TF32 Tensor Core TFLOPS: 989 with sparsity BFLOAT16 Tensore Core TFLOPS: 1979 with sparsity FP16 Tensor Core TFLOPS: 1979 with sparsity FP8 Tensor Core TFLOPS: 3958 with sparsity INT8 Tensor Core TOPS: 3958 with sparsity Register File Size: 64K 32-bit registers per SM Maximum number of registers per thread: 255 Maximum number of thread blocks per SM: 32 Shared memory capacity per SM: 228 KB Maximum shared memory per thread block: 227 KB
turn 1 · 1 tool call(s) · 359.8s turn · 36.0s LLM · tokens in=2,870 · out=4,120 · total=6,990 · 20,480 chars (click to expand)
turn 1359.8s turn · 36.0s LLM · 323.9s tools · tokens in=2,870 · out=4,120 · total=6,990
reasoning
Now let me understand the reference implementation better and write a custom CUDA kernel for the Mamba block. Key computations in the forward pass: 1. RMSNorm 2. Linear projection (d_model -> d_inner * 2) 3. Chunk into x_branch and z 4. Causal Conv1d (depthwise) 5. SiLU activation 6. Selective scan (the core SSM operation): - delta = softplus(proj_delta(x_branch)) - B_t = proj_B(x_branch) - C_t = proj_C(x_branch) - A = -exp(A_log) - dA = exp(delta * A) - dB = delta * B_t - x_db = x_branch * dB - Sequential scan: h = dA[t] * h + x_db[t], y[t] = (h * C_t[t]).sum() 7. Add skip connection: y = y + x_branch * D 8. Gate with z: y = y * silu(z) 9. Output projection: y = out_proj(y) 10. Add residual The main bottleneck is likely the selective scan (the sequential loop) and the linear projections. Let me write an optimized CUDA kernel. I'll need to think about how to parallelize this: - Batch dimension: B = 16 - Sequence length: L = 2048 - d_inner = 512 (d_model * expand) - d_state = 16 For the selective scan, each batch and each d_inner dimension can be computed independently - but the scan along the sequence length is inherently sequential. However, we can parallelize across B and d_inner. Let me write a first version:
assistantLet me start by understanding the problem and writing an initial CUDA kernel for the Mamba block.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n// RMSNorm kernel\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x * blockDim.x + threadIdx.x;\n if (bl >= B * L) return;\n \n int base = bl * D;\n float sum_sq = 0.0f;\n \n for (int d = 0; d < D; d++) {\n float val = input[base + d];\n sum_sq += val * val;\n }\n \n float rms = rsqrtf(sum_sq / D + eps);\n \n for (int d = 0; d < D; d++) {\n output[base + d] = input[base + d] * rms * weight[d];\n }\n}\n\n// Matrix multiply kernel for linear layers\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[k * out_dim + j];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int bc = blockIdx.x * blockDim.x + threadIdx.x;\n int t = blockIdx.y;\n \n if (bc >= B * channels || t >= L) return;\n \n int b = bc / channels;\n int c = bc % channels;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// SiLU activation kernel\n__global__ void silu_kernel(\n float* __restrict__ data,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n float x = data[idx];\n data[idx] = x * (1.0f / (1.0f + expf(-x)));\n}\n\n// Softplus kernel\n__global__ void softplus_kernel(\n const float* __restrict__ input,\n float* __restrict__ output,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n float x = input[idx];\n output[idx] = logf(1.0f + expf(x));\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ delta, // [B, L, d_inner]\n const float* __restrict__ B_t, // [B, L, d_state]\n const float* __restrict__ C_t, // [B, L, d_state]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n float* __restrict__ output, // [B, L, d_inner]\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[d_state];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n // Initialize state\n float h[d_state];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n int x_base = b * L * d_inner + di;\n int delta_base = b * L * d_inner + di;\n int B_base = b * L * d_state;\n int C_base = b * L * d_state;\n int out_base = b * L * d_inner + di;\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[delta_base + t * d_inner];\n float x_t = x_branch[x_base + t * d_inner];\n \n // Compute dA and update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[B_base + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[C_base + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[out_base + t * d_inner] = y_t;\n }\n}\n\n// Gate and multiply kernel\n__global__ void gate_kernel(\n const float* __restrict__ y,\n const float* __restrict__ z,\n float* __restrict__ output,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n float z_val = z[idx];\n float z_act = z_val * (1.0f / (1.0f + expf(-z_val)));\n output[idx] = y[idx] * z_act;\n}\n\n// Add residual kernel\n__global__ void add_residual_kernel(\n const float* __restrict__ residual,\n float* __restrict__ output,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n output[idx] = output[idx] + residual[idx];\n}\n\n// Host functions\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = 256;\n int blocks = (B * L + threads - 1) / threads;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n int threads = 256;\n int blocks_bc = (B * channels + threads - 1) / threads;\n \n dim3 grid(blocks_bc, L);\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\nvoid gate_cuda(\n const torch::Tensor& y,\n const torch::Tensor& z,\n torch::Tensor& output,\n int size\n) {\n int threads = 256;\n int blocks = (size + threads - 1) / threads;\n \n gate_kernel<<<blocks, threads>>>(\n y.data_ptr<float>(),\n z.data_ptr<float>(),\n output.data_ptr<float>(),\n size\n );\n}\n\nvoid add_residual_cuda(\n const torch::Tensor& residual,\n torch::Tensor& output,\n int size\n) {\n int threads = 256;\n int blocks = (size + threads - 1) / threads;\n \n add_residual_kernel<<<blocks, threads>>>(\n residual.data_ptr<float>(),\n output.data_ptr<float>(),\n size\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\nvoid gate_cuda(const torch::Tensor& y, const torch::Tensor& z, torch::Tensor& output, int size);\nvoid add_residual_cuda(const torch::Tensor& residual, torch::Tensor& output, int size);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda', 'gate_cuda', 'add_residual_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj: Linear (d_model -> d_inner * 2)\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Conv1d causal\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU activation\n x_branch = torch.nn.functional.silu(x_branch)\n \n # proj_delta, proj_B, proj_C\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n # Softplus for delta\n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # SiLU on z\n z = torch.nn.functional.silu(z)\n \n # Gate: y * z\n y = y * z\n \n # out_proj: Linear (d_inner -> d_model)\n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n # Add residual\n out = out + residual_f\n \n return out" }
result ← compile_kernel (fail)
failcompile_kernel compile_kernel FAILED: RuntimeError. RuntimeError: Error building extension 'mamba_ext': [1/3] /opt/conda/bin/x86_64-conda-linux-gnu-c++ -MMD -MF main.o.d -DTORCH_EXTENSION_NAME=mamba_ext -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -fPIC -std=c++17 -c /scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/FW-GLM-5-1/level_3_problem_4_cache/k_26bced608227/mamba_ext/main.cpp -o main.o [2/3] /usr/local/cuda/bin/nvcc -MD -MF cuda.cuda.o.d -ccbin /opt/conda/bin/x86_64-conda-linux-gnu-cc -DTORCH_EXTENSION_NAME=mamba_ext -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -D__CUDA_NO_HALF_OPERATORS__ -D__CUDA_NO_HALF_CONVERSIONS__ -D__CUDA_NO_BFLOAT16_CONVERSIONS__ -D__CUDA_NO_HALF2_OPERATORS__ --expt-relaxed-constexpr -gencode=arch=compute_90,code=compute_90 -gencode=arch=compute_90,code=sm_90 --compiler-options '-fPIC' -O3 -use_fast_math -std=c++17 -c /scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/FW-GLM-5-1/level_3_problem_4_cache/k_26bced608227/mamba_ext/cuda.cu -o cuda.cuda.o FAILED: [code=1] cuda.cuda.o /usr/local/cuda/bin/nvcc -MD -MF cuda.cuda.o.d -ccbin /opt/conda/bin/x86_64-conda-linux-gnu-cc -DTORCH_EXTENSION_NAME=mamba_ext -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -D__CUDA_NO_HALF_OPERATORS__ -D__CUDA_NO_HALF_CONVERSIONS__ -D__CUDA_NO_BFLOAT16_CONVERSIONS__ -D__CUDA_NO_HALF2_OPERATORS__ --expt-relaxed-constexpr -gencode=arch=compute_90,code=compute_90 -gencode=arch=compute_90,code=sm_90 --compiler-options '-fPIC' -O3 -use_fast_math -std=c++17 -c /scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/FW-GLM-5-1/level_3_problem_4_cache/k_26bced608227/mamba_ext/cuda.cu -o cuda.cuda.o nvcc warning : incompatible redefinition for option 'compiler-bindir', the last value of this option was used /scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/FW-GLM-5-1/level_3_problem_4_cache/k_26bced608227/mamba_ext/cuda.cu(136): error: expression must have a constant value float A[d_state]; ^ /scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/FW-GLM-5-1/level_3_problem_4_cache/k_26bced608227/mamba_ext/cuda.cu(136): note #2689-D: the value of parameter "d_state" (declared at line 128) cannot be used as a constant float A[d_state]; ^ /scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/FW-GLM-5-1/level_3_problem_4_cache/k_26bced608227/mamba_ext/cuda.cu(142): error: expression must have a constant value float h[d_state]; ^ /scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/FW-GLM-5-1/level_3_problem_4_cache/k_26bced608227/mamba_ext/cuda.cu(142): note #2689-D: the value of parameter "d_state" (declared at line 128) cannot be used as a constant float h[d_state]; ^ 2 errors detected in the compilation of "/scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/FW-GLM-5-1/level_3_problem_4_cache/k_26bced608227/mamba_ext/cuda.cu". ninja: build stopped: subcommand failed.
turn 2 · 1 tool call(s) · 393.0s turn · 30.0s LLM · tokens in=7,856 · out=3,848 · total=11,704 · 15,854 chars (click to expand)
turn 2393.0s turn · 30.0s LLM · 363.0s tools · tokens in=7,856 · out=3,848 · total=11,704
reasoning
The issue is that CUDA doesn't allow variable-length arrays (VLAs). I need to use a fixed maximum size or use shared memory. Since d_state is 16 in this case, I'll use a fixed maximum or template approach. Let me fix this by using a fixed-size array with a maximum size, or by using template parameters.
assistantI need to fix the variable-length array issue in CUDA. Let me rewrite with fixed-size arrays or template parameters.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x * blockDim.x + threadIdx.x;\n if (bl >= B * L) return;\n \n int base = bl * D;\n float sum_sq = 0.0f;\n \n for (int d = 0; d < D; d++) {\n float val = input[base + d];\n sum_sq += val * val;\n }\n \n float rms = rsqrtf(sum_sq / D + eps);\n \n for (int d = 0; d < D; d++) {\n output[base + d] = input[base + d] * rms * weight[d];\n }\n}\n\n// Matrix multiply kernel for linear layers\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[k * out_dim + j];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int bc = blockIdx.x * blockDim.x + threadIdx.x;\n int t = blockIdx.y;\n \n if (bc >= B * channels || t >= L) return;\n \n int b = bc / channels;\n int c = bc % channels;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// SiLU activation kernel\n__global__ void silu_kernel(\n float* __restrict__ data,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n float x = data[idx];\n data[idx] = x * (1.0f / (1.0f + expf(-x)));\n}\n\n// Softplus kernel\n__global__ void softplus_kernel(\n const float* __restrict__ input,\n float* __restrict__ output,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n float x = input[idx];\n output[idx] = logf(1.0f + expf(x));\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ delta, // [B, L, d_inner]\n const float* __restrict__ B_t, // [B, L, d_state]\n const float* __restrict__ C_t, // [B, L, d_state]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n float* __restrict__ output, // [B, L, d_inner]\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n int x_base = b * L * d_inner + di;\n int delta_base = b * L * d_inner + di;\n int B_base = b * L * d_state;\n int C_base = b * L * d_state;\n int out_base = b * L * d_inner + di;\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[delta_base + t * d_inner];\n float x_t = x_branch[x_base + t * d_inner];\n \n // Compute dA and update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[B_base + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[C_base + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[out_base + t * d_inner] = y_t;\n }\n}\n\n// Gate and multiply kernel\n__global__ void gate_kernel(\n const float* __restrict__ y,\n const float* __restrict__ z,\n float* __restrict__ output,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n float z_val = z[idx];\n float z_act = z_val * (1.0f / (1.0f + expf(-z_val)));\n output[idx] = y[idx] * z_act;\n}\n\n// Add residual kernel\n__global__ void add_residual_kernel(\n const float* __restrict__ residual,\n float* __restrict__ output,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n output[idx] = output[idx] + residual[idx];\n}\n\n// Host functions\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = 256;\n int blocks = (B * L + threads - 1) / threads;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n int threads = 256;\n int blocks_bc = (B * channels + threads - 1) / threads;\n \n dim3 grid(blocks_bc, L);\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\nvoid gate_cuda(\n const torch::Tensor& y,\n const torch::Tensor& z,\n torch::Tensor& output,\n int size\n) {\n int threads = 256;\n int blocks = (size + threads - 1) / threads;\n \n gate_kernel<<<blocks, threads>>>(\n y.data_ptr<float>(),\n z.data_ptr<float>(),\n output.data_ptr<float>(),\n size\n );\n}\n\nvoid add_residual_cuda(\n const torch::Tensor& residual,\n torch::Tensor& output,\n int size\n) {\n int threads = 256;\n int blocks = (size + threads - 1) / threads;\n \n add_residual_kernel<<<blocks, threads>>>(\n residual.data_ptr<float>(),\n output.data_ptr<float>(),\n size\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\nvoid gate_cuda(const torch::Tensor& y, const torch::Tensor& z, torch::Tensor& output, int size);\nvoid add_residual_cuda(const torch::Tensor& residual, torch::Tensor& output, int size);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda', 'gate_cuda', 'add_residual_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj: Linear (d_model -> d_inner * 2)\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Conv1d causal\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU activation\n x_branch = torch.nn.functional.silu(x_branch)\n \n # proj_delta, proj_B, proj_C\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n # Softplus for delta\n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # SiLU on z\n z = torch.nn.functional.silu(z)\n \n # Gate: y * z\n y = y * z\n \n # out_proj: Linear (d_inner -> d_model)\n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n # Add residual\n out = out + residual_f\n \n return out" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 3 · 1 tool call(s) · 444.5s turn · 31.0s LLM · tokens in=11,648 · out=3,780 · total=15,428 · 15,758 chars (click to expand)
turn 3444.5s turn · 31.0s LLM · 413.6s tools · tokens in=11,648 · out=3,780 · total=15,428
reasoning
The kernel compiled. Let me run the correctness test.
assistantThe kernel compiled. Now let me test for correctness.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x * blockDim.x + threadIdx.x;\n if (bl >= B * L) return;\n \n int base = bl * D;\n float sum_sq = 0.0f;\n \n for (int d = 0; d < D; d++) {\n float val = input[base + d];\n sum_sq += val * val;\n }\n \n float rms = rsqrtf(sum_sq / D + eps);\n \n for (int d = 0; d < D; d++) {\n output[base + d] = input[base + d] * rms * weight[d];\n }\n}\n\n// Matrix multiply kernel for linear layers\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[k * out_dim + j];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int bc = blockIdx.x * blockDim.x + threadIdx.x;\n int t = blockIdx.y;\n \n if (bc >= B * channels || t >= L) return;\n \n int b = bc / channels;\n int c = bc % channels;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// SiLU activation kernel\n__global__ void silu_kernel(\n float* __restrict__ data,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n float x = data[idx];\n data[idx] = x * (1.0f / (1.0f + expf(-x)));\n}\n\n// Softplus kernel\n__global__ void softplus_kernel(\n const float* __restrict__ input,\n float* __restrict__ output,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n float x = input[idx];\n output[idx] = logf(1.0f + expf(x));\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ delta, // [B, L, d_inner]\n const float* __restrict__ B_t, // [B, L, d_state]\n const float* __restrict__ C_t, // [B, L, d_state]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n float* __restrict__ output, // [B, L, d_inner]\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n int x_base = b * L * d_inner + di;\n int delta_base = b * L * d_inner + di;\n int B_base = b * L * d_state;\n int C_base = b * L * d_state;\n int out_base = b * L * d_inner + di;\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[delta_base + t * d_inner];\n float x_t = x_branch[x_base + t * d_inner];\n \n // Compute dA and update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[B_base + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[C_base + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[out_base + t * d_inner] = y_t;\n }\n}\n\n// Gate and multiply kernel\n__global__ void gate_kernel(\n const float* __restrict__ y,\n const float* __restrict__ z,\n float* __restrict__ output,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n float z_val = z[idx];\n float z_act = z_val * (1.0f / (1.0f + expf(-z_val)));\n output[idx] = y[idx] * z_act;\n}\n\n// Add residual kernel\n__global__ void add_residual_kernel(\n const float* __restrict__ residual,\n float* __restrict__ output,\n int size\n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx >= size) return;\n \n output[idx] = output[idx] + residual[idx];\n}\n\n// Host functions\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = 256;\n int blocks = (B * L + threads - 1) / threads;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n int threads = 256;\n int blocks_bc = (B * channels + threads - 1) / threads;\n \n dim3 grid(blocks_bc, L);\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\nvoid gate_cuda(\n const torch::Tensor& y,\n const torch::Tensor& z,\n torch::Tensor& output,\n int size\n) {\n int threads = 256;\n int blocks = (size + threads - 1) / threads;\n \n gate_kernel<<<blocks, threads>>>(\n y.data_ptr<float>(),\n z.data_ptr<float>(),\n output.data_ptr<float>(),\n size\n );\n}\n\nvoid add_residual_cuda(\n const torch::Tensor& residual,\n torch::Tensor& output,\n int size\n) {\n int threads = 256;\n int blocks = (size + threads - 1) / threads;\n \n add_residual_kernel<<<blocks, threads>>>(\n residual.data_ptr<float>(),\n output.data_ptr<float>(),\n size\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\nvoid gate_cuda(const torch::Tensor& y, const torch::Tensor& z, torch::Tensor& output, int size);\nvoid add_residual_cuda(const torch::Tensor& residual, torch::Tensor& output, int size);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda', 'gate_cuda', 'add_residual_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj: Linear (d_model -> d_inner * 2)\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Conv1d causal\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU activation\n x_branch = torch.nn.functional.silu(x_branch)\n \n # proj_delta, proj_B, proj_C\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n # Softplus for delta\n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # SiLU on z\n z = torch.nn.functional.silu(z)\n \n # Gate: y * z\n y = y * z\n \n # out_proj: Linear (d_inner -> d_model)\n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n # Add residual\n out = out + residual_f\n \n return out" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 3) trials did not all match. correctness_issue: Output mismatch max_difference: ['0.357245', '0.372420', '0.331019'] avg_difference: ['0.047830', '0.047855', '0.047852']
turn 4 · 1 tool call(s) · 391.3s turn · 33.4s LLM · tokens in=15,496 · out=3,915 · total=19,411 · 15,817 chars (click to expand)
turn 4391.3s turn · 33.4s LLM · 357.9s tools · tokens in=15,496 · out=3,915 · total=19,411
reasoning
There are some mismatches. Let me analyze the differences. The differences seem relatively small compared to the values, which suggests numerical precision differences or a subtle bug in my implementation. Let me re-examine the reference implementation more carefully: 1. RMSNorm - my implementation seems correct 2. in_proj - linear with weight transposed? I need to check PyTorch linear weight layout 3. Conv1d - I need to check the weight layout for depthwise conv1d 4. Selective scan - this is the most complex part Let me check if PyTorch uses row-major or column-major weight storage. PyTorch's nn.Linear has weight shape (out_features, in_features), so for y = x @ W.T + b, the computation is: output[i,j] = sum_k (x[i,k] * W[j,k]) + b[j] So when I access weight[k * out_dim + j], this assumes the weight is stored in (in_dim, out_dim) layout. But PyTorch stores it as (out_dim, in_dim). Let me fix this. Actually, for PyTorch nn.Linear: - weight shape: (out_features, in_features) - y = x @ W.T + b - y[i, j] = sum_k x[i, k] * W[j, k] So weight[j, k] corresponds to output j, input k. The weight is stored in row-major, so: - weight[j * in_features + k] = W[j, k] For my kernel, I'm computing: output[out_base + j] = sum_k input[in_base + k] * weight[k * out_dim + j] This assumes weight is stored as (in_dim, out_dim) in row-major, or equivalently, weight[k, j]. But PyTorch stores weight as (out_dim, in_dim), so weight[j, k] = weight[j * in_dim + k]. I need to fix this! The correct computation should be: output[out_base + j] = sum_k input[in_base + k] * weight[j * in_dim + k] Let me also check the conv1d weight. For depthwise Conv1d with groups=in_channels, the weight shape is (out_channels, 1, kernel_size) where out_channels = in_channels. Actually, I need to be more careful about how PyTorch Conv1d works with groups. For depthwise conv with groups=channels: - weight shape: (channels, 1, kernel_size) - For each channel c, the filter is weight[c, 0, :] In my implementation, I assumed weight[c * kernel_size + k], which matches if weight is stored as (channels, kernel_size) after squeezing. Let me fix the linear kernel first.
assistantThere's a mismatch. The issue is likely in my linear kernel - PyTorch stores weights in (out_features, in_features) format, but my kernel assumes (in_features, out_features). Let me fix this.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x * blockDim.x + threadIdx.x;\n if (bl >= B * L) return;\n \n int base = bl * D;\n float sum_sq = 0.0f;\n \n for (int d = 0; d < D; d++) {\n float val = input[base + d];\n sum_sq += val * val;\n }\n \n float rms = rsqrtf(sum_sq / D + eps);\n \n for (int d = 0; d < D; d++) {\n output[base + d] = input[base + d] * rms * weight[d];\n }\n}\n\n// Matrix multiply kernel for linear layers\n// PyTorch linear: weight shape (out_features, in_features)\n// y = x @ W.T + b\n// y[i,j] = sum_k x[i,k] * W[j,k]\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n // weight is (out_dim, in_dim), so weight[j, k] = weight[j * in_dim + k]\n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel\n// For depthwise conv: weight shape (channels, 1, kernel_size)\n// After squeeze: (channels, kernel_size)\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int bc = blockIdx.x * blockDim.x + threadIdx.x;\n int t = blockIdx.y;\n \n if (bc >= B * channels || t >= L) return;\n \n int b = bc / channels;\n int c = bc % channels;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n // weight[c, k] = weight[c * kernel_size + k]\n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ delta, // [B, L, d_inner]\n const float* __restrict__ B_t, // [B, L, d_state]\n const float* __restrict__ C_t, // [B, L, d_state]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n float* __restrict__ output, // [B, L, d_inner]\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n int x_base = b * L * d_inner + di;\n int delta_base = b * L * d_inner + di;\n int B_base = b * L * d_state;\n int C_base = b * L * d_state;\n int out_base = b * L * d_inner + di;\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[delta_base + t * d_inner];\n float x_t = x_branch[x_base + t * d_inner];\n \n // Compute dA and update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[B_base + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[C_base + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[out_base + t * d_inner] = y_t;\n }\n}\n\n// Host functions\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = 256;\n int blocks = (B * L + threads - 1) / threads;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n int threads = 256;\n int blocks_bc = (B * channels + threads - 1) / threads;\n \n dim3 grid(blocks_bc, L);\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj: Linear (d_model -> d_inner * 2)\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Conv1d causal\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU activation\n x_branch = torch.nn.functional.silu(x_branch)\n \n # proj_delta, proj_B, proj_C\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n # Softplus for delta\n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # SiLU on z\n z = torch.nn.functional.silu(z)\n \n # Gate: y * z\n y = y * z\n \n # out_proj: Linear (d_inner -> d_model)\n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n # Add residual\n out = out + residual_f\n \n return out" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 5 · 1 tool call(s) · 355.3s turn · 26.7s LLM · tokens in=18,847 · out=3,302 · total=22,149 · 13,633 chars (click to expand)
turn 5355.3s turn · 26.7s LLM · 328.6s tools · tokens in=18,847 · out=3,302 · total=22,149
reasoning
Now let me test for correctness again.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x * blockDim.x + threadIdx.x;\n if (bl >= B * L) return;\n \n int base = bl * D;\n float sum_sq = 0.0f;\n \n for (int d = 0; d < D; d++) {\n float val = input[base + d];\n sum_sq += val * val;\n }\n \n float rms = rsqrtf(sum_sq / D + eps);\n \n for (int d = 0; d < D; d++) {\n output[base + d] = input[base + d] * rms * weight[d];\n }\n}\n\n// Matrix multiply kernel for linear layers\n// PyTorch linear: weight shape (out_features, in_features)\n// y = x @ W.T + b\n// y[i,j] = sum_k x[i,k] * W[j,k]\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n // weight is (out_dim, in_dim), so weight[j, k] = weight[j * in_dim + k]\n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel\n// For depthwise conv: weight shape (channels, 1, kernel_size)\n// After squeeze: (channels, kernel_size)\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int bc = blockIdx.x * blockDim.x + threadIdx.x;\n int t = blockIdx.y;\n \n if (bc >= B * channels || t >= L) return;\n \n int b = bc / channels;\n int c = bc % channels;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n // weight[c, k] = weight[c * kernel_size + k]\n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ delta, // [B, L, d_inner]\n const float* __restrict__ B_t, // [B, L, d_state]\n const float* __restrict__ C_t, // [B, L, d_state]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n float* __restrict__ output, // [B, L, d_inner]\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n int x_base = b * L * d_inner + di;\n int delta_base = b * L * d_inner + di;\n int B_base = b * L * d_state;\n int C_base = b * L * d_state;\n int out_base = b * L * d_inner + di;\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[delta_base + t * d_inner];\n float x_t = x_branch[x_base + t * d_inner];\n \n // Compute dA and update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[B_base + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[C_base + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[out_base + t * d_inner] = y_t;\n }\n}\n\n// Host functions\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = 256;\n int blocks = (B * L + threads - 1) / threads;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n int threads = 256;\n int blocks_bc = (B * channels + threads - 1) / threads;\n \n dim3 grid(blocks_bc, L);\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj: Linear (d_model -> d_inner * 2)\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Conv1d causal\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU activation\n x_branch = torch.nn.functional.silu(x_branch)\n \n # proj_delta, proj_B, proj_C\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n # Softplus for delta\n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # SiLU on z\n z = torch.nn.functional.silu(z)\n \n # Gate: y * z\n y = y * z\n \n # out_proj: Linear (d_inner -> d_model)\n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n # Add residual\n out = out + residual_f\n \n return out" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 3) trials did not all match. correctness_issue: Output mismatch max_difference: ['0.302571', '0.282078', '0.270489'] avg_difference: ['0.036156', '0.036232', '0.036163']
turn 6 · 1 tool call(s) · 365.8s turn · 44.2s LLM · tokens in=22,218 · out=5,070 · total=27,288 · 19,074 chars (click to expand)
turn 6365.8s turn · 44.2s LLM · 321.6s tools · tokens in=22,218 · out=5,070 · total=27,288
reasoning
Still not matching. Let me think more carefully about each component. Let me trace through the reference more carefully: 1. RMSNorm: The reference uses `nn.RMSNorm(d_model)` which normalizes along the last dimension and multiplies by weight. 2. in_proj: Linear from d_model to d_inner * 2. Weight shape (d_inner * 2, d_model). 3. Chunk into x_branch and z along last dimension. 4. x_branch is transposed to [B, d_inner, L] for conv1d. 5. conv1d: This is a depthwise conv1d. Weight shape (d_inner, 1, d_conv). The conv1d has padding d_conv-1, so it outputs length L + d_conv - 1, then we slice [..., :L] to get length L back. Actually, I need to check the conv1d weight order. In PyTorch Conv1d, the weight for depthwise conv is (out_channels, in_channels/groups, kernel_size). Since groups=out_channels=d_inner and in_channels=d_inner, the weight shape is (d_inner, 1, d_conv). For a depthwise conv, each channel has its own kernel. The convolution for channel c is: output[c, t] = sum_k (input[c, t-k] * weight[c, 0, k]) + bias[c] But wait, there's also the padding issue. The reference uses `padding=d_conv - 1`, so the output length is L + d_conv - 1, then [..., :L] is taken. Let me think about the kernel order. In conv1d, the kernel is applied with the convention that: output[t] = sum_k input[t-k] * weight[k] (for causal, stride=1) Or more precisely for convolution: output[t] = sum_k input[t+k] * weight[k] (cross-correlation, what PyTorch uses) Wait, PyTorch uses cross-correlation, not convolution! So: output[t] = sum_k input[t + k] * weight[k] For causal conv with padding = d_conv - 1: - output[t] = sum_k input[t + k - (d_conv - 1)] * weight[k] - For the first few timesteps, we access negative indices which should be zero. Actually, let me reconsider. For a standard 1D convolution/cross-correlation: - Input indices go from 0 to L-1 - Output indices go from -padding to L - 1 + padding - (kernel_size - 1) - With padding = d_conv - 1, output goes from -(d_conv-1) to L - 1 - Taking [..., :L] means we take indices 0 to L-1 of output So for output position t (0 to L-1): output[t] = sum_{k=0}^{d_conv-1} input[t + k - (d_conv - 1)] * weight[k] = sum_{k=0}^{d_conv-1} input[t - (d_conv - 1) + k] * weight[k] For t < d_conv - 1, some of the indices t - (d_conv - 1) + k will be negative, which should give zero contribution. So for a causal conv: output[t] = sum_{k=max(0, d_conv-1-t)}^{d_conv-1} input[t - (d_conv - 1) + k] * weight[k] Let me simplify. Let j = d_conv - 1 - k, so k = d_conv - 1 - j: output[t] = sum_{j=0}^{min(t, d_conv-1)} input[t - j] * weight[d_conv - 1 - j] So weight[d_conv-1] is applied to input[t-0], weight[d_conv-2] is applied to input[t-1], etc. In my kernel, I have: for (int k = 0; k < kernel_size; k++) { int t_in = t - k; if (t_in >= 0) { sum += input[in_base + t_in] * weight[c * kernel_size + k]; } } This applies weight[0] to input[t], weight[1] to input[t-1], etc. But according to the analysis above, weight[d_conv-1] should be applied to input[t], weight[d_conv-2] to input[t-1], etc. So I need to reverse the weight indexing! Let me fix this: for (int k = 0; k < kernel_size; k++) { int t_in = t - k; if (t_in >= 0) { sum += input[in_base + t_in] * weight[c * kernel_size + (kernel_size - 1 - k)]; } } Or equivalently: for (int k = 0; k < kernel_size; k++) { int t_in = t - (kernel_size - 1 - k); if (t_in >= 0) { sum += input[in_base + t_in] * weight[c * kernel_size + k]; } } Let me double-check with an example. Say d_conv = 4. - PyTorch cross-correlation: output[t] = sum_{k=0}^{3} input[t + k - 3] * weight[k] - For t=0: output[0] = input[-3]*weight[0] + input[-2]*weight[1] + input[-1]*weight[2] + input[0]*weight[3] = input[0]*weight[3] (since input[-3,-2,-1] are out of bounds/zero) - For t=1: output[1] = input[-2]*weight[0] + input[-1]*weight[1] + input[0]*weight[2] + input[1]*weight[3] = input[0]*weight[2] + input[1]*weight[3] - For t=3: output[3] = input[0]*weight[0] + input[1]*weight[1] + input[2]*weight[2] + input[3]*weight[3] So in a causal conv with padding d_conv-1: - output[0] uses only input[0] with weight[d_conv-1] - output[1] uses input[0] with weight[d_conv-2] and input[1] with weight[d_conv-1] - etc. So the correct formulation is: for (int k = 0; k < kernel_size; k++) { int t_in = t - (kernel_size - 1 - k); if (t_in >= 0) { sum += input[in_base + t_in] * weight[c * kernel_size + k]; } } Or: for (int j = 0; j < kernel_size; j++) { int t_in = t - j; if (t_in >= 0) { sum += input[in_base + t_in] * weight[c * kernel_size + (kernel_size - 1 - j)]; } } Let me fix the conv kernel. But wait, I also need to double check the other parts. Let me verify the RMSNorm first. Actually, let me trace through more carefully. Let me write a simple test to check each component.
assistantLet me trace through the reference more carefully. The issue might be with the conv1d kernel - PyTorch uses cross-correlation, not convolution, so the weight indexing needs to be reversed for causal convolution.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x * blockDim.x + threadIdx.x;\n if (bl >= B * L) return;\n \n int base = bl * D;\n float sum_sq = 0.0f;\n \n for (int d = 0; d < D; d++) {\n float val = input[base + d];\n sum_sq += val * val;\n }\n \n float rms = rsqrtf(sum_sq / D + eps);\n \n for (int d = 0; d < D; d++) {\n output[base + d] = input[base + d] * rms * weight[d];\n }\n}\n\n// Matrix multiply kernel for linear layers\n// PyTorch linear: weight shape (out_features, in_features)\n// y = x @ W.T + b\n// y[i,j] = sum_k x[i,k] * W[j,k]\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n // weight is (out_dim, in_dim), so weight[j, k] = weight[j * in_dim + k]\n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel\n// PyTorch Conv1d uses cross-correlation (not convolution)\n// For cross-correlation: output[t] = sum_k input[t + k - padding] * weight[k]\n// For causal conv with padding = d_conv - 1:\n// output[t] = sum_k input[t - (d_conv - 1) + k] * weight[k]\n// We take output positions 0 to L-1\n// For t=0, valid k range: k >= d_conv - 1 - t = d_conv - 1\n// So weight[d_conv-1] applied to input[0]\n// weight[d_conv-2] applied to input[1], etc.\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int bc = blockIdx.x * blockDim.x + threadIdx.x;\n int t = blockIdx.y;\n \n if (bc >= B * channels || t >= L) return;\n \n int b = bc / channels;\n int c = bc % channels;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n // PyTorch cross-correlation: output[t] = sum_k input[t - (kernel_size-1) + k] * weight[k]\n // where t is 0 to L-1, and we skip negative indices\n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - (kernel_size - 1) + k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ delta, // [B, L, d_inner]\n const float* __restrict__ B_t, // [B, L, d_state]\n const float* __restrict__ C_t, // [B, L, d_state]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n float* __restrict__ output, // [B, L, d_inner]\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n int x_base = b * L * d_inner + di;\n int delta_base = b * L * d_inner + di;\n int B_base = b * L * d_state;\n int C_base = b * L * d_state;\n int out_base = b * L * d_inner + di;\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[delta_base + t * d_inner];\n float x_t = x_branch[x_base + t * d_inner];\n \n // Compute dA and update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[B_base + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[C_base + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[out_base + t * d_inner] = y_t;\n }\n}\n\n// Host functions\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = 256;\n int blocks = (B * L + threads - 1) / threads;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n int threads = 256;\n int blocks_bc = (B * channels + threads - 1) / threads;\n \n dim3 grid(blocks_bc, L);\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj: Linear (d_model -> d_inner * 2)\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Conv1d causal\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU activation\n x_branch = torch.nn.functional.silu(x_branch)\n \n # proj_delta, proj_B, proj_C\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n # Softplus for delta\n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # SiLU on z\n z = torch.nn.functional.silu(z)\n \n # Gate: y * z\n y = y * z\n \n # out_proj: Linear (d_inner -> d_model)\n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n # Add residual\n out = out + residual_f\n \n return out" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 7 · 1 tool call(s) · 222.2s turn · 28.1s LLM · tokens in=25,723 · out=3,456 · total=29,179 · 13,962 chars (click to expand)
turn 7222.2s turn · 28.1s LLM · 194.1s tools · tokens in=25,723 · out=3,456 · total=29,179
reasoning
Let me run correctness again.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x * blockDim.x + threadIdx.x;\n if (bl >= B * L) return;\n \n int base = bl * D;\n float sum_sq = 0.0f;\n \n for (int d = 0; d < D; d++) {\n float val = input[base + d];\n sum_sq += val * val;\n }\n \n float rms = rsqrtf(sum_sq / D + eps);\n \n for (int d = 0; d < D; d++) {\n output[base + d] = input[base + d] * rms * weight[d];\n }\n}\n\n// Matrix multiply kernel for linear layers\n// PyTorch linear: weight shape (out_features, in_features)\n// y = x @ W.T + b\n// y[i,j] = sum_k x[i,k] * W[j,k]\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n // weight is (out_dim, in_dim), so weight[j, k] = weight[j * in_dim + k]\n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel\n// PyTorch Conv1d uses cross-correlation (not convolution)\n// For cross-correlation: output[t] = sum_k input[t + k - padding] * weight[k]\n// For causal conv with padding = d_conv - 1:\n// output[t] = sum_k input[t - (d_conv - 1) + k] * weight[k]\n// We take output positions 0 to L-1\n// For t=0, valid k range: k >= d_conv - 1 - t = d_conv - 1\n// So weight[d_conv-1] applied to input[0]\n// weight[d_conv-2] applied to input[1], etc.\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int bc = blockIdx.x * blockDim.x + threadIdx.x;\n int t = blockIdx.y;\n \n if (bc >= B * channels || t >= L) return;\n \n int b = bc / channels;\n int c = bc % channels;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n // PyTorch cross-correlation: output[t] = sum_k input[t - (kernel_size-1) + k] * weight[k]\n // where t is 0 to L-1, and we skip negative indices\n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - (kernel_size - 1) + k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ delta, // [B, L, d_inner]\n const float* __restrict__ B_t, // [B, L, d_state]\n const float* __restrict__ C_t, // [B, L, d_state]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n float* __restrict__ output, // [B, L, d_inner]\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n int x_base = b * L * d_inner + di;\n int delta_base = b * L * d_inner + di;\n int B_base = b * L * d_state;\n int C_base = b * L * d_state;\n int out_base = b * L * d_inner + di;\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[delta_base + t * d_inner];\n float x_t = x_branch[x_base + t * d_inner];\n \n // Compute dA and update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[B_base + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[C_base + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[out_base + t * d_inner] = y_t;\n }\n}\n\n// Host functions\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = 256;\n int blocks = (B * L + threads - 1) / threads;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n int threads = 256;\n int blocks_bc = (B * channels + threads - 1) / threads;\n \n dim3 grid(blocks_bc, L);\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj: Linear (d_model -> d_inner * 2)\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Conv1d causal\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU activation\n x_branch = torch.nn.functional.silu(x_branch)\n \n # proj_delta, proj_B, proj_C\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n # Softplus for delta\n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # SiLU on z\n z = torch.nn.functional.silu(z)\n \n # Gate: y * z\n y = y * z\n \n # out_proj: Linear (d_inner -> d_model)\n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n # Add residual\n out = out + residual_f\n \n return out" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=2.86e-06 mean_abs_err=3.12e-07 max_rel_err=1.97e+00
turn 8 · 1 tool call(s) · 380.9s turn · 30.4s LLM · tokens in=29,230 · out=3,485 · total=32,715 · 15,623 chars (click to expand)
turn 8380.9s turn · 30.4s LLM · 350.5s tools · tokens in=29,230 · out=3,485 · total=32,715
reasoning
The kernel now passes correctness! Now let me profile it to understand the performance characteristics and optimize.
assistantThe kernel passes correctness. Now let me profile it to understand performance bottlenecks.
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x * blockDim.x + threadIdx.x;\n if (bl >= B * L) return;\n \n int base = bl * D;\n float sum_sq = 0.0f;\n \n for (int d = 0; d < D; d++) {\n float val = input[base + d];\n sum_sq += val * val;\n }\n \n float rms = rsqrtf(sum_sq / D + eps);\n \n for (int d = 0; d < D; d++) {\n output[base + d] = input[base + d] * rms * weight[d];\n }\n}\n\n// Matrix multiply kernel for linear layers\n// PyTorch linear: weight shape (out_features, in_features)\n// y = x @ W.T + b\n// y[i,j] = sum_k x[i,k] * W[j,k]\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n // weight is (out_dim, in_dim), so weight[j, k] = weight[j * in_dim + k]\n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel\n// PyTorch Conv1d uses cross-correlation (not convolution)\n// For cross-correlation: output[t] = sum_k input[t + k - padding] * weight[k]\n// For causal conv with padding = d_conv - 1:\n// output[t] = sum_k input[t - (d_conv - 1) + k] * weight[k]\n// We take output positions 0 to L-1\n// For t=0, valid k range: k >= d_conv - 1 - t = d_conv - 1\n// So weight[d_conv-1] applied to input[0]\n// weight[d_conv-2] applied to input[1], etc.\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int bc = blockIdx.x * blockDim.x + threadIdx.x;\n int t = blockIdx.y;\n \n if (bc >= B * channels || t >= L) return;\n \n int b = bc / channels;\n int c = bc % channels;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n // PyTorch cross-correlation: output[t] = sum_k input[t - (kernel_size-1) + k] * weight[k]\n // where t is 0 to L-1, and we skip negative indices\n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - (kernel_size - 1) + k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ delta, // [B, L, d_inner]\n const float* __restrict__ B_t, // [B, L, d_state]\n const float* __restrict__ C_t, // [B, L, d_state]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n float* __restrict__ output, // [B, L, d_inner]\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n int x_base = b * L * d_inner + di;\n int delta_base = b * L * d_inner + di;\n int B_base = b * L * d_state;\n int C_base = b * L * d_state;\n int out_base = b * L * d_inner + di;\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[delta_base + t * d_inner];\n float x_t = x_branch[x_base + t * d_inner];\n \n // Compute dA and update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[B_base + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[C_base + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[out_base + t * d_inner] = y_t;\n }\n}\n\n// Host functions\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = 256;\n int blocks = (B * L + threads - 1) / threads;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n int threads = 256;\n int blocks_bc = (B * channels + threads - 1) / threads;\n \n dim3 grid(blocks_bc, L);\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj: Linear (d_model -> d_inner * 2)\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Conv1d causal\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU activation\n x_branch = torch.nn.functional.silu(x_branch)\n \n # proj_delta, proj_B, proj_C\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n # Softplus for delta\n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # SiLU on z\n z = torch.nn.functional.silu(z)\n \n # Gate: y * z\n y = y * z\n \n # out_proj: Linear (d_inner -> d_model)\n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n # Add residual\n out = out + residual_f\n \n return out" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::silu 4101.0μs (18%) calls=1 #2: aten::contiguous 3035.0μs (13%) calls=1 #3: aten::clone 3029.0μs (13%) calls=1 #4: aten::copy_ 3009.0μs (13%) calls=1 #5: aten::mul 2313.0μs (10%) calls=1 ... +42 more kernels --- Timing --- GPU time: 93021.79 μs --- Memory Bandwidth --- DRAM BW: 20708.7/3350 GB/s (100.0%) read=13218.4 write=7490.2 GB/s Hit rates: L2=1142.2% --- Compute Throughput --- Dominant pipe: tensor-core util=16.7% Pipe util: FMA=118.5%, Tensor=16.7% --- Roofline Analysis --- Ridge point (tensor-core): 295.22 FLOPs/byte Classification: MEMORY-BOUND --- Occupancy --- Achieved: 1246.2% Eligible warps/cycle: 7.60 Launch: regs/thread=478, smem/blk=17408B, block=3520, grid=565632 --- Memory Access Quality --- Global ld coalescing: 263.11 sectors/req (263.1x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 133657.4% #################### mio_throttle 6924.4% #################### short_scoreboard 6583.2% #################### --- Optimization Hints --- -> 133657% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=263.1 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=263.1x (ideal=1.0) -> 263x wasted DRAM BW. Make per-warp accesses contiguous.
turn 9 · 1 tool call(s) · 313.9s turn · 37.6s LLM · tokens in=33,236 · out=4,425 · total=37,661 · 17,911 chars (click to expand)
turn 9313.9s turn · 37.6s LLM · 276.4s tools · tokens in=33,236 · out=4,425 · total=37,661
reasoning
The profiling shows a significant issue with memory coalescing (263x wasted bandwidth) and many stalls due to memory latency. The main issues are: 1. Global load coalescing is terrible at 263.1 sectors/request 2. Long scoreboard stalls (waiting for memory) 3. The memory access patterns are inefficient Let me focus on optimizing the kernels: 1. The linear kernel currently has each thread iterate over all input dimensions, which is inefficient. I should use shared memory or a better tiling strategy. 2. The selective scan kernel has strided access patterns for x_branch and delta (accessing every d_inner-th element), which is terrible for coalescing. Let me redesign these kernels for better memory access patterns: 1. For linear layers, use a tiled approach where threads cooperate 2. For selective scan, process multiple channels per thread or use shared memory to load data in a coalesced manner Let me rewrite with better memory access patterns.
assistantThe profile shows terrible memory coalescing (263x wasted bandwidth) and significant memory stalls. The main issue is strided access in the selective scan kernel and inefficient linear kernels. Let me redesign with better memory access patterns.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block with optimized memory access\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel - one warp per row for better coalescing\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x;\n int d = threadIdx.x;\n \n if (bl >= B * L || d >= D) return;\n \n int base = bl * D;\n \n // Parallel reduction for sum of squares\n float val = input[base + d];\n float sum_sq = val * val;\n \n __shared__ float shared_sq[1024];\n shared_sq[d] = sum_sq;\n __syncthreads();\n \n for (int stride = blockDim.x / 2; stride > 0; stride >>= 1) {\n if (d < stride) {\n shared_sq[d] += shared_sq[d + stride];\n }\n __syncthreads();\n }\n \n float rms = rsqrtf(shared_sq[0] / D + eps);\n output[base + d] = val * rms * weight[d];\n}\n\n// Optimized linear kernel using shared memory and coalesced access\n// Each thread block handles one output position, threads compute different output features\ntemplate<int TILE_SIZE>\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x; // B * L\n int j = threadIdx.x; // out_dim\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n float sum = has_bias ? bias[j] : 0.0f;\n \n // Process in tiles for better cache utilization\n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel - each thread handles one output element\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int b = blockIdx.x / channels;\n int c = blockIdx.x % channels;\n int t = blockIdx.y * blockDim.x + threadIdx.x;\n \n if (t >= L) return;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - (kernel_size - 1) + k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// Optimized selective scan kernel\n// Each thread handles one (batch, d_inner) pair\n// Uses coalesced memory access by loading data in a specific pattern\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ delta, // [B, L, d_inner]\n const float* __restrict__ B_t, // [B, L, d_state]\n const float* __restrict__ C_t, // [B, L, d_state]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n float* __restrict__ output, // [B, L, d_inner]\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n float D_val = D_param[di];\n \n // Process all time steps\n for (int t = 0; t < L; t++) {\n float delta_t = delta[b * L * d_inner + t * d_inner + di];\n float x_t = x_branch[b * L * d_inner + t * d_inner + di];\n \n // Update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[b * L * d_state + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[b * L * d_state + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[b * L * d_inner + t * d_inner + di] = y_t;\n }\n}\n\n// Fused kernel: proj_delta + proj_B + proj_C + softplus + selective_scan + gate + out_proj\n// This reduces memory traffic significantly\n__global__ void mamba_fused_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ z, // [B, L, d_inner]\n const float* __restrict__ proj_delta_w, // [d_inner, d_inner]\n const float* __restrict__ proj_delta_b, // [d_inner]\n const float* __restrict__ proj_B_w, // [d_state, d_inner]\n const float* __restrict__ proj_C_w, // [d_state, d_inner]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n const float* __restrict__ out_proj_w, // [d_model, d_inner]\n float* __restrict__ output, // [B, L, d_model]\n int B, int L, int d_inner, int d_state, int d_model\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n float D_val = D_param[di];\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n for (int t = 0; t < L; t++) {\n int in_base = b * L * d_inner + t * d_inner;\n float x_t = x_branch[in_base + di];\n \n // Compute delta_proj[t, di]\n float delta_proj = proj_delta_b[di];\n for (int k = 0; k < d_inner; k++) {\n delta_proj += x_branch[in_base + k] * proj_delta_w[di * d_inner + k];\n }\n \n // Softplus\n float delta_t = logf(1.0f + expf(delta_proj));\n \n // Compute B_t[t, :] and C_t[t, :]\n float B_t_val[MAX_D_STATE];\n float C_t_val[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n B_t_val[n] = 0.0f;\n C_t_val[n] = 0.0f;\n for (int k = 0; k < d_inner; k++) {\n B_t_val[n] += x_branch[in_base + k] * proj_B_w[n * d_inner + k];\n C_t_val[n] += x_branch[in_base + k] * proj_C_w[n * d_inner + k];\n }\n }\n \n // Update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t_val[n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output y[t, di]\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t_val[n];\n }\n y_t = y_t + x_t * D_val;\n \n // Gate with z\n float z_val = z[in_base + di];\n float z_act = z_val * (1.0f / (1.0f + expf(-z_val)));\n float gated = y_t * z_act;\n \n // Store for later reduction\n // We'll write to a temporary buffer and reduce later\n // For now, just store the gated value\n output[b * L * d_inner + t * d_inner + di] = gated;\n }\n}\n\n// Host functions\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = min(D, 1024);\n int blocks = B * L;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<64><<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n dim3 grid(B * channels, (L + 255) / 256);\n int threads = 256;\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj: Linear (d_model -> d_inner * 2)\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Conv1d causal\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU activation\n x_branch = torch.nn.functional.silu(x_branch)\n \n # proj_delta, proj_B, proj_C\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n # Softplus for delta\n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # SiLU on z\n z = torch.nn.functional.silu(z)\n \n # Gate: y * z\n y = y * z\n \n # out_proj: Linear (d_inner -> d_model)\n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n # Add residual\n out = out + residual_f\n \n return out" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 10 · 1 tool call(s) · 185.1s turn · 37.2s LLM · tokens in=37,475 · out=4,190 · total=41,665 · 16,786 chars (click to expand)
turn 10185.1s turn · 37.2s LLM · 147.9s tools · tokens in=37,475 · out=4,190 · total=41,665
reasoning
Let me check correctness with the optimized version.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block with optimized memory access\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel - one warp per row for better coalescing\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x;\n int d = threadIdx.x;\n \n if (bl >= B * L || d >= D) return;\n \n int base = bl * D;\n \n // Parallel reduction for sum of squares\n float val = input[base + d];\n float sum_sq = val * val;\n \n __shared__ float shared_sq[1024];\n shared_sq[d] = sum_sq;\n __syncthreads();\n \n for (int stride = blockDim.x / 2; stride > 0; stride >>= 1) {\n if (d < stride) {\n shared_sq[d] += shared_sq[d + stride];\n }\n __syncthreads();\n }\n \n float rms = rsqrtf(shared_sq[0] / D + eps);\n output[base + d] = val * rms * weight[d];\n}\n\n// Optimized linear kernel using shared memory and coalesced access\n// Each thread block handles one output position, threads compute different output features\ntemplate<int TILE_SIZE>\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x; // B * L\n int j = threadIdx.x; // out_dim\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n float sum = has_bias ? bias[j] : 0.0f;\n \n // Process in tiles for better cache utilization\n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel - each thread handles one output element\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int b = blockIdx.x / channels;\n int c = blockIdx.x % channels;\n int t = blockIdx.y * blockDim.x + threadIdx.x;\n \n if (t >= L) return;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - (kernel_size - 1) + k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// Optimized selective scan kernel\n// Each thread handles one (batch, d_inner) pair\n// Uses coalesced memory access by loading data in a specific pattern\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ delta, // [B, L, d_inner]\n const float* __restrict__ B_t, // [B, L, d_state]\n const float* __restrict__ C_t, // [B, L, d_state]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n float* __restrict__ output, // [B, L, d_inner]\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n float D_val = D_param[di];\n \n // Process all time steps\n for (int t = 0; t < L; t++) {\n float delta_t = delta[b * L * d_inner + t * d_inner + di];\n float x_t = x_branch[b * L * d_inner + t * d_inner + di];\n \n // Update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[b * L * d_state + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[b * L * d_state + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[b * L * d_inner + t * d_inner + di] = y_t;\n }\n}\n\n// Fused kernel: proj_delta + proj_B + proj_C + softplus + selective_scan + gate + out_proj\n// This reduces memory traffic significantly\n__global__ void mamba_fused_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ z, // [B, L, d_inner]\n const float* __restrict__ proj_delta_w, // [d_inner, d_inner]\n const float* __restrict__ proj_delta_b, // [d_inner]\n const float* __restrict__ proj_B_w, // [d_state, d_inner]\n const float* __restrict__ proj_C_w, // [d_state, d_inner]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n const float* __restrict__ out_proj_w, // [d_model, d_inner]\n float* __restrict__ output, // [B, L, d_model]\n int B, int L, int d_inner, int d_state, int d_model\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n float D_val = D_param[di];\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n for (int t = 0; t < L; t++) {\n int in_base = b * L * d_inner + t * d_inner;\n float x_t = x_branch[in_base + di];\n \n // Compute delta_proj[t, di]\n float delta_proj = proj_delta_b[di];\n for (int k = 0; k < d_inner; k++) {\n delta_proj += x_branch[in_base + k] * proj_delta_w[di * d_inner + k];\n }\n \n // Softplus\n float delta_t = logf(1.0f + expf(delta_proj));\n \n // Compute B_t[t, :] and C_t[t, :]\n float B_t_val[MAX_D_STATE];\n float C_t_val[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n B_t_val[n] = 0.0f;\n C_t_val[n] = 0.0f;\n for (int k = 0; k < d_inner; k++) {\n B_t_val[n] += x_branch[in_base + k] * proj_B_w[n * d_inner + k];\n C_t_val[n] += x_branch[in_base + k] * proj_C_w[n * d_inner + k];\n }\n }\n \n // Update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t_val[n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute output y[t, di]\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t_val[n];\n }\n y_t = y_t + x_t * D_val;\n \n // Gate with z\n float z_val = z[in_base + di];\n float z_act = z_val * (1.0f / (1.0f + expf(-z_val)));\n float gated = y_t * z_act;\n \n // Store for later reduction\n // We'll write to a temporary buffer and reduce later\n // For now, just store the gated value\n output[b * L * d_inner + t * d_inner + di] = gated;\n }\n}\n\n// Host functions\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = min(D, 1024);\n int blocks = B * L;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<64><<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n dim3 grid(B * channels, (L + 255) / 256);\n int threads = 256;\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj: Linear (d_model -> d_inner * 2)\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Conv1d causal\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU activation\n x_branch = torch.nn.functional.silu(x_branch)\n \n # proj_delta, proj_B, proj_C\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n # Softplus for delta\n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # SiLU on z\n z = torch.nn.functional.silu(z)\n \n # Gate: y * z\n y = y * z\n \n # out_proj: Linear (d_inner -> d_model)\n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n # Add residual\n out = out + residual_f\n \n return out" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=2.86e-06 mean_abs_err=3.12e-07 max_rel_err=1.83e+00
turn 11 · 1 tool call(s) · 306.8s turn · 30.6s LLM · tokens in=41,713 · out=3,479 · total=45,192 · 14,522 chars (click to expand)
turn 11306.8s turn · 30.6s LLM · 276.2s tools · tokens in=41,713 · out=3,479 · total=45,192
reasoning
Good, still correct. Now let me create a fully fused kernel that combines more operations to reduce memory traffic. The key insight is that the selective scan is memory-bound due to the recurrent nature, and we have lots of intermediate memory allocations. Let me create a comprehensive fused kernel that handles the entire mamba block more efficiently.
assistantNow let me create a more optimized version with fused kernels to reduce memory traffic.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block with heavily fused kernels\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// Fused RMSNorm + Linear kernel\n// input: [B, L, in_dim], weight_norm: [in_dim], weight_linear: [out_dim, in_dim], output: [B, L, out_dim]\n__global__ void rmsnorm_linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight_norm,\n const float* __restrict__ weight_linear,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int bl = blockIdx.x;\n int j = threadIdx.x;\n \n if (bl >= B * L || j >= out_dim) return;\n \n int in_base = bl * in_dim;\n int out_base = bl * out_dim;\n \n // Compute RMSNorm\n float sum_sq = 0.0f;\n for (int d = 0; d < in_dim; d++) {\n float val = input[in_base + d];\n sum_sq += val * val;\n }\n float rms = rsqrtf(sum_sq / in_dim + 1e-5f);\n \n // Compute linear with normalized input\n float sum = has_bias ? bias[j] : 0.0f;\n for (int k = 0; k < in_dim; k++) {\n float norm_val = input[in_base + k] * rms * weight_norm[k];\n sum += norm_val * weight_linear[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Fused Conv1d + SiLU kernel\n__global__ void conv1d_silu_kernel(\n const float* __restrict__ input, // [B, d_inner, L]\n const float* __restrict__ weight, // [d_inner, kernel_size]\n const float* __restrict__ bias, // [d_inner]\n float* __restrict__ output, // [B, d_inner, L]\n int B, int L, int channels, int kernel_size\n) {\n int b = blockIdx.x / channels;\n int c = blockIdx.x % channels;\n int t = blockIdx.y * blockDim.x + threadIdx.x;\n \n if (t >= L) return;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - (kernel_size - 1) + k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n // SiLU activation\n output[out_base + t] = sum * (1.0f / (1.0f + expf(-sum)));\n}\n\n// Fused: proj_delta + proj_B + proj_C + softplus + selective_scan + gate + out_proj\n__global__ void mamba_core_kernel(\n const float* __restrict__ x_branch, // [B, L, d_inner]\n const float* __restrict__ z, // [B, L, d_inner]\n const float* __restrict__ proj_delta_w, // [d_inner, d_inner]\n const float* __restrict__ proj_delta_b, // [d_inner]\n const float* __restrict__ proj_B_w, // [d_state, d_inner]\n const float* __restrict__ proj_C_w, // [d_state, d_inner]\n const float* __restrict__ A_log, // [d_inner, d_state]\n const float* __restrict__ D_param, // [d_inner]\n const float* __restrict__ out_proj_w, // [d_model, d_inner]\n const float* __restrict__ residual, // [B, L, d_model]\n float* __restrict__ output, // [B, L, d_model]\n int B, int L, int d_inner, int d_state, int d_model\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n // Load A for this d_inner (shared across all t)\n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n float D_val = D_param[di];\n \n // Initialize state\n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n // Shared memory for partial outputs (for out_proj reduction)\n extern __shared__ float shared_out[];\n \n for (int t = 0; t < L; t++) {\n int in_base = b * L * d_inner + t * d_inner;\n float x_t = x_branch[in_base + di];\n \n // Compute delta_proj[t, di] (partial sum over k)\n float delta_proj = proj_delta_b[di];\n for (int k = 0; k < d_inner; k++) {\n delta_proj += x_branch[in_base + k] * proj_delta_w[di * d_inner + k];\n }\n \n // Softplus\n float delta_t = logf(1.0f + expf(delta_proj));\n \n // Compute B_t and C_t (partial sums)\n float B_t_val[MAX_D_STATE];\n float C_t_val[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n B_t_val[n] = 0.0f;\n C_t_val[n] = 0.0f;\n for (int k = 0; k < d_inner; k++) {\n B_t_val[n] += x_branch[in_base + k] * proj_B_w[n * d_inner + k];\n C_t_val[n] += x_branch[in_base + k] * proj_C_w[n * d_inner + k];\n }\n }\n \n // Update state\n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t_val[n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n // Compute selective scan output\n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t_val[n];\n }\n y_t = y_t + x_t * D_val;\n \n // Gate with z\n float z_val = z[in_base + di];\n float z_act = z_val * (1.0f / (1.0f + expf(-z_val)));\n float gated = y_t * z_act;\n \n // Store partial result for out_proj reduction\n // Each thread computes contribution to output[t, dm] for all dm\n // We'll do the reduction in shared memory\n int out_base = b * L * d_model + t * d_model;\n \n // Compute out_proj contribution for this (di) column\n for (int dm = 0; dm < d_model; dm++) {\n float contrib = gated * out_proj_w[dm * d_inner + di];\n atomicAdd(&output[out_base + dm], contrib);\n }\n }\n \n // Add residual\n __syncthreads();\n for (int t = 0; t < L; t++) {\n for (int dm = threadIdx.x; dm < d_model; dm += blockDim.x) {\n int out_base = b * L * d_model + t * d_model;\n output[out_base + dm] += residual[out_base + dm];\n }\n }\n}\n\n// Host functions\nvoid rmsnorm_linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight_norm,\n const torch::Tensor& weight_linear,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n rmsnorm_linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight_norm.data_ptr<float>(),\n weight_linear.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_silu_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n dim3 grid(B * channels, (L + 255) / 256);\n int threads = 256;\n \n conv1d_silu_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid mamba_core_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& z,\n const torch::Tensor& proj_delta_w,\n const torch::Tensor& proj_delta_b,\n const torch::Tensor& proj_B_w,\n const torch::Tensor& proj_C_w,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n const torch::Tensor& out_proj_w,\n const torch::Tensor& residual,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state, int d_model\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n size_t shared_mem = d_model * sizeof(float);\n \n mamba_core_kernel<<<grid, threads, shared_mem>>>(\n x_branch.data_ptr<float>(),\n z.data_ptr<float>(),\n proj_delta_w.data_ptr<float>(),\n proj_delta_b.data_ptr<float>(),\n proj_B_w.data_ptr<float>(),\n proj_C_w.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n out_proj_w.data_ptr<float>(),\n residual.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state, d_model\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_linear_cuda(const torch::Tensor& input, const torch::Tensor& weight_norm, const torch::Tensor& weight_linear, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_silu_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid mamba_core_cuda(const torch::Tensor& x_branch, const torch::Tensor& z, const torch::Tensor& proj_delta_w, const torch::Tensor& proj_delta_b, const torch::Tensor& proj_B_w, const torch::Tensor& proj_C_w, const torch::Tensor& A_log, const torch::Tensor& D_param, const torch::Tensor& out_proj_w, const torch::Tensor& residual, torch::Tensor& output, int B, int L, int d_inner, int d_state, int d_model);\n\"\"\"\n\n# Load the CUDA extension\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_linear_cuda', 'conv1d_silu_cuda', 'mamba_core_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n # Initialize parameters same as reference\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n # Ensure contiguous float32\n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # Fused RMSNorm + in_proj\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.rmsnorm_linear_cuda(x, self.norm.weight, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n # Chunk\n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Transpose for conv1d: [B, d_inner, L]\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n \n # Fused Conv1d + SiLU\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_silu_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n \n # Transpose back: [B, L, d_inner]\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n // Fused core mamba operations\n output = torch.zeros(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.mamba_core_cuda(\n x_branch, z,\n self.proj_delta.weight, self.proj_delta.bias,\n self.proj_B.weight, self.proj_C.weight,\n self.A_log, self.D, self.out_proj.weight,\n residual_f, output,\n B, L, self.d_inner, self.d_state, D\n )\n \n return output" }
result ← compile_kernel (fail)
failcompile_kernel compile_kernel FAILED: ModelNew class not found or syntax error prevented execution. Syntax Error in custom generated code or Compilation Error invalid syntax (<string>, line 339)
turn 12 · 1 tool call(s) · 240.0s turn · 26.7s LLM · tokens in=45,196 · out=3,106 · total=48,302 · 13,039 chars (click to expand)
turn 12240.0s turn · 26.7s LLM · 213.3s tools · tokens in=45,196 · out=3,106 · total=48,302
reasoning
I have a syntax error in my Python code - I used `//` instead of `#` for a comment. Let me fix that and test again. But actually, the previous kernel that passed correctness should work. Let me submit that one instead since I have limited turns left. Actually, looking at the correctness test results, my previous kernel (the one with separate kernels for each operation) passed correctness. Let me submit that version.
assistantI have a correct kernel from my earlier version. Let me fix the syntax error and test, or submit the working version.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block with optimized memory access\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel - one block per row for better coalescing\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x;\n int d = threadIdx.x;\n \n if (bl >= B * L || d >= D) return;\n \n int base = bl * D;\n \n // Parallel reduction for sum of squares\n float val = input[base + d];\n float sum_sq = val * val;\n \n __shared__ float shared_sq[1024];\n shared_sq[d] = sum_sq;\n __syncthreads();\n \n for (int stride = blockDim.x / 2; stride > 0; stride >>= 1) {\n if (d < stride) {\n shared_sq[d] += shared_sq[d + stride];\n }\n __syncthreads();\n }\n \n float rms = rsqrtf(shared_sq[0] / D + eps);\n output[base + d] = val * rms * weight[d];\n}\n\n// Optimized linear kernel\n// Each thread block handles one output position, threads compute different output features\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel - each thread handles one output element\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int b = blockIdx.x / channels;\n int c = blockIdx.x % channels;\n int t = blockIdx.y * blockDim.x + threadIdx.x;\n \n if (t >= L) return;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - (kernel_size - 1) + k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch,\n const float* __restrict__ delta,\n const float* __restrict__ B_t,\n const float* __restrict__ C_t,\n const float* __restrict__ A_log,\n const float* __restrict__ D_param,\n float* __restrict__ output,\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[b * L * d_inner + t * d_inner + di];\n float x_t = x_branch[b * L * d_inner + t * d_inner + di];\n \n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[b * L * d_state + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[b * L * d_state + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[b * L * d_inner + t * d_inner + di] = y_t;\n }\n}\n\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = min(D, 1024);\n int blocks = B * L;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n dim3 grid(B * channels, (L + 255) / 256);\n int threads = 256;\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\n\"\"\"\n\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Conv1d\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU\n x_branch = torch.nn.functional.silu(x_branch)\n \n # Projections\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # Gate and output\n z = torch.nn.functional.silu(z)\n y = y * z\n \n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n out = out + residual_f\n \n return out" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 13 · 1 tool call(s) · 198.0s turn · 25.9s LLM · tokens in=48,259 · out=3,010 · total=51,269 · 12,621 chars (click to expand)
turn 13198.0s turn · 25.9s LLM · 172.1s tools · tokens in=48,259 · out=3,010 · total=51,269
reasoning
The kernel compiles successfully. I should verify it's still correct before submitting.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block with optimized memory access\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel - one block per row for better coalescing\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x;\n int d = threadIdx.x;\n \n if (bl >= B * L || d >= D) return;\n \n int base = bl * D;\n \n // Parallel reduction for sum of squares\n float val = input[base + d];\n float sum_sq = val * val;\n \n __shared__ float shared_sq[1024];\n shared_sq[d] = sum_sq;\n __syncthreads();\n \n for (int stride = blockDim.x / 2; stride > 0; stride >>= 1) {\n if (d < stride) {\n shared_sq[d] += shared_sq[d + stride];\n }\n __syncthreads();\n }\n \n float rms = rsqrtf(shared_sq[0] / D + eps);\n output[base + d] = val * rms * weight[d];\n}\n\n// Optimized linear kernel\n// Each thread block handles one output position, threads compute different output features\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel - each thread handles one output element\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int b = blockIdx.x / channels;\n int c = blockIdx.x % channels;\n int t = blockIdx.y * blockDim.x + threadIdx.x;\n \n if (t >= L) return;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - (kernel_size - 1) + k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch,\n const float* __restrict__ delta,\n const float* __restrict__ B_t,\n const float* __restrict__ C_t,\n const float* __restrict__ A_log,\n const float* __restrict__ D_param,\n float* __restrict__ output,\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[b * L * d_inner + t * d_inner + di];\n float x_t = x_branch[b * L * d_inner + t * d_inner + di];\n \n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[b * L * d_state + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[b * L * d_state + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[b * L * d_inner + t * d_inner + di] = y_t;\n }\n}\n\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = min(D, 1024);\n int blocks = B * L;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n dim3 grid(B * channels, (L + 255) / 256);\n int threads = 256;\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\n\"\"\"\n\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Conv1d\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU\n x_branch = torch.nn.functional.silu(x_branch)\n \n # Projections\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # Gate and output\n z = torch.nn.functional.silu(z)\n y = y * z\n \n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n out = out + residual_f\n \n return out" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=2.86e-06 mean_abs_err=3.12e-07 max_rel_err=1.83e+00
turn 14 · FINAL · 1 tool call(s) · 266.0s turn · 25.1s LLM · tokens in=51,399 · out=3,004 · total=54,403 · 12,838 chars (click to expand)
turn 14266.0s turn · 25.1s LLM · 240.9s tools · tokens in=51,399 · out=3,004 · total=54,403 · FINAL
reasoning
The kernel is correct. Let me submit it now.
call → submit_kernel
callsubmit_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\n# CUDA source for Mamba block with optimized memory access\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n#include <cmath>\n\n#define MAX_D_STATE 64\n\n// RMSNorm kernel - one block per row for better coalescing\n__global__ void rmsnorm_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n float* __restrict__ output,\n int B, int L, int D,\n float eps\n) {\n int bl = blockIdx.x;\n int d = threadIdx.x;\n \n if (bl >= B * L || d >= D) return;\n \n int base = bl * D;\n \n // Parallel reduction for sum of squares\n float val = input[base + d];\n float sum_sq = val * val;\n \n __shared__ float shared_sq[1024];\n shared_sq[d] = sum_sq;\n __syncthreads();\n \n for (int stride = blockDim.x / 2; stride > 0; stride >>= 1) {\n if (d < stride) {\n shared_sq[d] += shared_sq[d + stride];\n }\n __syncthreads();\n }\n \n float rms = rsqrtf(shared_sq[0] / D + eps);\n output[base + d] = val * rms * weight[d];\n}\n\n// Optimized linear kernel\n// Each thread block handles one output position, threads compute different output features\n__global__ void linear_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int in_dim, int out_dim,\n bool has_bias\n) {\n int idx = blockIdx.x;\n int j = threadIdx.x;\n \n if (idx >= B * L || j >= out_dim) return;\n \n int in_base = idx * in_dim;\n int out_base = idx * out_dim;\n \n float sum = has_bias ? bias[j] : 0.0f;\n \n for (int k = 0; k < in_dim; k++) {\n sum += input[in_base + k] * weight[j * in_dim + k];\n }\n \n output[out_base + j] = sum;\n}\n\n// Conv1d causal depthwise kernel - each thread handles one output element\n__global__ void conv1d_causal_kernel(\n const float* __restrict__ input,\n const float* __restrict__ weight,\n const float* __restrict__ bias,\n float* __restrict__ output,\n int B, int L, int channels, int kernel_size\n) {\n int b = blockIdx.x / channels;\n int c = blockIdx.x % channels;\n int t = blockIdx.y * blockDim.x + threadIdx.x;\n \n if (t >= L) return;\n \n int in_base = b * channels * L + c * L;\n int out_base = b * channels * L + c * L;\n \n float sum = bias[c];\n \n for (int k = 0; k < kernel_size; k++) {\n int t_in = t - (kernel_size - 1) + k;\n if (t_in >= 0) {\n sum += input[in_base + t_in] * weight[c * kernel_size + k];\n }\n }\n \n output[out_base + t] = sum;\n}\n\n// Selective scan kernel - each thread handles one (batch, d_inner) pair\n__global__ void selective_scan_kernel(\n const float* __restrict__ x_branch,\n const float* __restrict__ delta,\n const float* __restrict__ B_t,\n const float* __restrict__ C_t,\n const float* __restrict__ A_log,\n const float* __restrict__ D_param,\n float* __restrict__ output,\n int B, int L, int d_inner, int d_state\n) {\n int b = blockIdx.y;\n int di = blockIdx.x * blockDim.x + threadIdx.x;\n \n if (b >= B || di >= d_inner) return;\n \n float A[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n A[n] = -expf(A_log[di * d_state + n]);\n }\n \n float h[MAX_D_STATE];\n for (int n = 0; n < d_state; n++) {\n h[n] = 0.0f;\n }\n \n float D_val = D_param[di];\n \n for (int t = 0; t < L; t++) {\n float delta_t = delta[b * L * d_inner + t * d_inner + di];\n float x_t = x_branch[b * L * d_inner + t * d_inner + di];\n \n for (int n = 0; n < d_state; n++) {\n float dA = expf(delta_t * A[n]);\n float dB = delta_t * B_t[b * L * d_state + t * d_state + n];\n float x_db = x_t * dB;\n h[n] = dA * h[n] + x_db;\n }\n \n float y_t = 0.0f;\n for (int n = 0; n < d_state; n++) {\n y_t += h[n] * C_t[b * L * d_state + t * d_state + n];\n }\n y_t = y_t + x_t * D_val;\n \n output[b * L * d_inner + t * d_inner + di] = y_t;\n }\n}\n\nvoid rmsnorm_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n torch::Tensor& output,\n int B, int L, int D\n) {\n int threads = min(D, 1024);\n int blocks = B * L;\n \n rmsnorm_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, D, 1e-5f\n );\n}\n\nvoid linear_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const c10::optional<torch::Tensor>& bias,\n torch::Tensor& output,\n int B, int L, int in_dim, int out_dim\n) {\n int total = B * L;\n int threads = min(out_dim, 1024);\n int blocks = total;\n \n bool has_bias = bias.has_value();\n const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;\n \n linear_kernel<<<blocks, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias_ptr,\n output.data_ptr<float>(),\n B, L, in_dim, out_dim,\n has_bias\n );\n}\n\nvoid conv1d_causal_cuda(\n const torch::Tensor& input,\n const torch::Tensor& weight,\n const torch::Tensor& bias,\n torch::Tensor& output,\n int B, int L, int channels, int kernel_size\n) {\n dim3 grid(B * channels, (L + 255) / 256);\n int threads = 256;\n \n conv1d_causal_kernel<<<grid, threads>>>(\n input.data_ptr<float>(),\n weight.data_ptr<float>(),\n bias.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, channels, kernel_size\n );\n}\n\nvoid selective_scan_cuda(\n const torch::Tensor& x_branch,\n const torch::Tensor& delta,\n const torch::Tensor& B_t,\n const torch::Tensor& C_t,\n const torch::Tensor& A_log,\n const torch::Tensor& D_param,\n torch::Tensor& output,\n int B, int L, int d_inner, int d_state\n) {\n int threads = 32;\n int blocks_x = (d_inner + threads - 1) / threads;\n \n dim3 grid(blocks_x, B);\n \n selective_scan_kernel<<<grid, threads>>>(\n x_branch.data_ptr<float>(),\n delta.data_ptr<float>(),\n B_t.data_ptr<float>(),\n C_t.data_ptr<float>(),\n A_log.data_ptr<float>(),\n D_param.data_ptr<float>(),\n output.data_ptr<float>(),\n B, L, d_inner, d_state\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\nvoid rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);\nvoid linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);\nvoid conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);\nvoid selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);\n\"\"\"\n\nmamba_ext = load_inline(\n name='mamba_ext',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3', '-use_fast_math']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):\n super(ModelNew, self).__init__()\n self.d_model = d_model\n self.d_inner = d_model * expand\n self.d_state = d_state\n self.d_conv = d_conv\n\n self.norm = nn.RMSNorm(d_model)\n self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)\n self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,\n padding=d_conv - 1, groups=self.d_inner, bias=True)\n self.activation = nn.SiLU()\n\n self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))\n self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)\n self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)\n self.D = nn.Parameter(torch.ones(self.d_inner))\n\n self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n B, L, D = x.shape\n residual = x\n \n x = x.contiguous().float()\n residual_f = residual.contiguous().float()\n \n # RMSNorm\n x_norm = torch.empty_like(x)\n mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)\n \n # in_proj\n xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)\n \n x_branch = xz[..., :self.d_inner].contiguous()\n z = xz[..., self.d_inner:].contiguous()\n \n # Conv1d\n x_branch_t = x_branch.transpose(1, 2).contiguous()\n x_conv = torch.empty_like(x_branch_t)\n mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)\n x_branch = x_conv.transpose(1, 2).contiguous()\n \n # SiLU\n x_branch = torch.nn.functional.silu(x_branch)\n \n # Projections\n delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)\n \n mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)\n mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)\n mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)\n \n delta = torch.nn.functional.softplus(delta_proj)\n \n # Selective scan\n y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)\n mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)\n \n # Gate and output\n z = torch.nn.functional.silu(z)\n y = y * z\n \n out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)\n mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)\n \n out = out + residual_f\n \n return out" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (3 / 3) correctness trials all passed. Kernel runtime: 92.60 μs Runtime stats: mean=92.60μs median=?μs std=0.04μs Numerical precision: max_abs_err=2.86e-06 mean_abs_err=3.12e-07 max_rel_err=1.83e+00 Memory: 746.22 MB peak (ref: 3690.75 MB, ratio: 0.2022x) Kernel launches: 47 (ref: 26754, fusion ratio: 569.234) Energy: 11358.76 mJ/run (ref: 10632.8 mJ, ratio: 0.9361x) SOL score: 1.0
final submitted kernel (333 lines, 10,819 chars) — full source, untruncated
import torch
import torch.nn as nn
import torch.nn.functional as F
from torch.utils.cpp_extension import load_inline
import math

# CUDA source for Mamba block with optimized memory access
cuda_source = """
#include <torch/extension.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include <vector>
#include <cmath>

#define MAX_D_STATE 64

// RMSNorm kernel - one block per row for better coalescing
__global__ void rmsnorm_kernel(
    const float* __restrict__ input,
    const float* __restrict__ weight,
    float* __restrict__ output,
    int B, int L, int D,
    float eps
) {
    int bl = blockIdx.x;
    int d = threadIdx.x;
    
    if (bl >= B * L || d >= D) return;
    
    int base = bl * D;
    
    // Parallel reduction for sum of squares
    float val = input[base + d];
    float sum_sq = val * val;
    
    __shared__ float shared_sq[1024];
    shared_sq[d] = sum_sq;
    __syncthreads();
    
    for (int stride = blockDim.x / 2; stride > 0; stride >>= 1) {
        if (d < stride) {
            shared_sq[d] += shared_sq[d + stride];
        }
        __syncthreads();
    }
    
    float rms = rsqrtf(shared_sq[0] / D + eps);
    output[base + d] = val * rms * weight[d];
}

// Optimized linear kernel
// Each thread block handles one output position, threads compute different output features
__global__ void linear_kernel(
    const float* __restrict__ input,
    const float* __restrict__ weight,
    const float* __restrict__ bias,
    float* __restrict__ output,
    int B, int L, int in_dim, int out_dim,
    bool has_bias
) {
    int idx = blockIdx.x;
    int j = threadIdx.x;
    
    if (idx >= B * L || j >= out_dim) return;
    
    int in_base = idx * in_dim;
    int out_base = idx * out_dim;
    
    float sum = has_bias ? bias[j] : 0.0f;
    
    for (int k = 0; k < in_dim; k++) {
        sum += input[in_base + k] * weight[j * in_dim + k];
    }
    
    output[out_base + j] = sum;
}

// Conv1d causal depthwise kernel - each thread handles one output element
__global__ void conv1d_causal_kernel(
    const float* __restrict__ input,
    const float* __restrict__ weight,
    const float* __restrict__ bias,
    float* __restrict__ output,
    int B, int L, int channels, int kernel_size
) {
    int b = blockIdx.x / channels;
    int c = blockIdx.x % channels;
    int t = blockIdx.y * blockDim.x + threadIdx.x;
    
    if (t >= L) return;
    
    int in_base = b * channels * L + c * L;
    int out_base = b * channels * L + c * L;
    
    float sum = bias[c];
    
    for (int k = 0; k < kernel_size; k++) {
        int t_in = t - (kernel_size - 1) + k;
        if (t_in >= 0) {
            sum += input[in_base + t_in] * weight[c * kernel_size + k];
        }
    }
    
    output[out_base + t] = sum;
}

// Selective scan kernel - each thread handles one (batch, d_inner) pair
__global__ void selective_scan_kernel(
    const float* __restrict__ x_branch,
    const float* __restrict__ delta,
    const float* __restrict__ B_t,
    const float* __restrict__ C_t,
    const float* __restrict__ A_log,
    const float* __restrict__ D_param,
    float* __restrict__ output,
    int B, int L, int d_inner, int d_state
) {
    int b = blockIdx.y;
    int di = blockIdx.x * blockDim.x + threadIdx.x;
    
    if (b >= B || di >= d_inner) return;
    
    float A[MAX_D_STATE];
    for (int n = 0; n < d_state; n++) {
        A[n] = -expf(A_log[di * d_state + n]);
    }
    
    float h[MAX_D_STATE];
    for (int n = 0; n < d_state; n++) {
        h[n] = 0.0f;
    }
    
    float D_val = D_param[di];
    
    for (int t = 0; t < L; t++) {
        float delta_t = delta[b * L * d_inner + t * d_inner + di];
        float x_t = x_branch[b * L * d_inner + t * d_inner + di];
        
        for (int n = 0; n < d_state; n++) {
            float dA = expf(delta_t * A[n]);
            float dB = delta_t * B_t[b * L * d_state + t * d_state + n];
            float x_db = x_t * dB;
            h[n] = dA * h[n] + x_db;
        }
        
        float y_t = 0.0f;
        for (int n = 0; n < d_state; n++) {
            y_t += h[n] * C_t[b * L * d_state + t * d_state + n];
        }
        y_t = y_t + x_t * D_val;
        
        output[b * L * d_inner + t * d_inner + di] = y_t;
    }
}

void rmsnorm_cuda(
    const torch::Tensor& input,
    const torch::Tensor& weight,
    torch::Tensor& output,
    int B, int L, int D
) {
    int threads = min(D, 1024);
    int blocks = B * L;
    
    rmsnorm_kernel<<<blocks, threads>>>(
        input.data_ptr<float>(),
        weight.data_ptr<float>(),
        output.data_ptr<float>(),
        B, L, D, 1e-5f
    );
}

void linear_cuda(
    const torch::Tensor& input,
    const torch::Tensor& weight,
    const c10::optional<torch::Tensor>& bias,
    torch::Tensor& output,
    int B, int L, int in_dim, int out_dim
) {
    int total = B * L;
    int threads = min(out_dim, 1024);
    int blocks = total;
    
    bool has_bias = bias.has_value();
    const float* bias_ptr = has_bias ? bias.value().data_ptr<float>() : nullptr;
    
    linear_kernel<<<blocks, threads>>>(
        input.data_ptr<float>(),
        weight.data_ptr<float>(),
        bias_ptr,
        output.data_ptr<float>(),
        B, L, in_dim, out_dim,
        has_bias
    );
}

void conv1d_causal_cuda(
    const torch::Tensor& input,
    const torch::Tensor& weight,
    const torch::Tensor& bias,
    torch::Tensor& output,
    int B, int L, int channels, int kernel_size
) {
    dim3 grid(B * channels, (L + 255) / 256);
    int threads = 256;
    
    conv1d_causal_kernel<<<grid, threads>>>(
        input.data_ptr<float>(),
        weight.data_ptr<float>(),
        bias.data_ptr<float>(),
        output.data_ptr<float>(),
        B, L, channels, kernel_size
    );
}

void selective_scan_cuda(
    const torch::Tensor& x_branch,
    const torch::Tensor& delta,
    const torch::Tensor& B_t,
    const torch::Tensor& C_t,
    const torch::Tensor& A_log,
    const torch::Tensor& D_param,
    torch::Tensor& output,
    int B, int L, int d_inner, int d_state
) {
    int threads = 32;
    int blocks_x = (d_inner + threads - 1) / threads;
    
    dim3 grid(blocks_x, B);
    
    selective_scan_kernel<<<grid, threads>>>(
        x_branch.data_ptr<float>(),
        delta.data_ptr<float>(),
        B_t.data_ptr<float>(),
        C_t.data_ptr<float>(),
        A_log.data_ptr<float>(),
        D_param.data_ptr<float>(),
        output.data_ptr<float>(),
        B, L, d_inner, d_state
    );
}
"""

cpp_source = """
void rmsnorm_cuda(const torch::Tensor& input, const torch::Tensor& weight, torch::Tensor& output, int B, int L, int D);
void linear_cuda(const torch::Tensor& input, const torch::Tensor& weight, const c10::optional<torch::Tensor>& bias, torch::Tensor& output, int B, int L, int in_dim, int out_dim);
void conv1d_causal_cuda(const torch::Tensor& input, const torch::Tensor& weight, const torch::Tensor& bias, torch::Tensor& output, int B, int L, int channels, int kernel_size);
void selective_scan_cuda(const torch::Tensor& x_branch, const torch::Tensor& delta, const torch::Tensor& B_t, const torch::Tensor& C_t, const torch::Tensor& A_log, const torch::Tensor& D_param, torch::Tensor& output, int B, int L, int d_inner, int d_state);
"""

mamba_ext = load_inline(
    name='mamba_ext',
    cpp_sources=cpp_source,
    cuda_sources=cuda_source,
    functions=['rmsnorm_cuda', 'linear_cuda', 'conv1d_causal_cuda', 'selective_scan_cuda'],
    verbose=False,
    extra_cuda_cflags=['-O3', '-use_fast_math']
)

class ModelNew(nn.Module):
    def __init__(self, d_model: int, d_state: int, d_conv: int, expand: int):
        super(ModelNew, self).__init__()
        self.d_model = d_model
        self.d_inner = d_model * expand
        self.d_state = d_state
        self.d_conv = d_conv

        self.norm = nn.RMSNorm(d_model)
        self.in_proj = nn.Linear(d_model, self.d_inner * 2, bias=False)
        self.conv1d = nn.Conv1d(self.d_inner, self.d_inner, d_conv,
                                padding=d_conv - 1, groups=self.d_inner, bias=True)
        self.activation = nn.SiLU()

        self.A_log = nn.Parameter(torch.randn(self.d_inner, d_state))
        self.proj_B = nn.Linear(self.d_inner, d_state, bias=False)
        self.proj_C = nn.Linear(self.d_inner, d_state, bias=False)
        self.proj_delta = nn.Linear(self.d_inner, self.d_inner, bias=True)
        self.D = nn.Parameter(torch.ones(self.d_inner))

        self.out_proj = nn.Linear(self.d_inner, d_model, bias=False)

    def forward(self, x: torch.Tensor) -> torch.Tensor:
        B, L, D = x.shape
        residual = x
        
        x = x.contiguous().float()
        residual_f = residual.contiguous().float()
        
        # RMSNorm
        x_norm = torch.empty_like(x)
        mamba_ext.rmsnorm_cuda(x, self.norm.weight, x_norm, B, L, D)
        
        # in_proj
        xz = torch.empty(B, L, self.d_inner * 2, dtype=torch.float32, device=x.device)
        mamba_ext.linear_cuda(x_norm, self.in_proj.weight, None, xz, B, L, D, self.d_inner * 2)
        
        x_branch = xz[..., :self.d_inner].contiguous()
        z = xz[..., self.d_inner:].contiguous()
        
        # Conv1d
        x_branch_t = x_branch.transpose(1, 2).contiguous()
        x_conv = torch.empty_like(x_branch_t)
        mamba_ext.conv1d_causal_cuda(x_branch_t, self.conv1d.weight.squeeze(-1), self.conv1d.bias, x_conv, B, L, self.d_inner, self.d_conv)
        x_branch = x_conv.transpose(1, 2).contiguous()
        
        # SiLU
        x_branch = torch.nn.functional.silu(x_branch)
        
        # Projections
        delta_proj = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)
        B_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)
        C_t = torch.empty(B, L, self.d_state, dtype=torch.float32, device=x.device)
        
        mamba_ext.linear_cuda(x_branch, self.proj_delta.weight, self.proj_delta.bias, delta_proj, B, L, self.d_inner, self.d_inner)
        mamba_ext.linear_cuda(x_branch, self.proj_B.weight, None, B_t, B, L, self.d_inner, self.d_state)
        mamba_ext.linear_cuda(x_branch, self.proj_C.weight, None, C_t, B, L, self.d_inner, self.d_state)
        
        delta = torch.nn.functional.softplus(delta_proj)
        
        # Selective scan
        y = torch.empty(B, L, self.d_inner, dtype=torch.float32, device=x.device)
        mamba_ext.selective_scan_cuda(x_branch, delta, B_t, C_t, self.A_log, self.D, y, B, L, self.d_inner, self.d_state)
        
        # Gate and output
        z = torch.nn.functional.silu(z)
        y = y * z
        
        out = torch.empty(B, L, D, dtype=torch.float32, device=x.device)
        mamba_ext.linear_cuda(y, self.out_proj.weight, None, out, B, L, self.d_inner, D)
        
        out = out + residual_f
        
        return out