turn 0146.4s turn · 36.3s LLM · 110.1s tools · tokens in=1,523 · out=2,763 · total=4,669 · FINAL
reasoning
The task is to replace the forward computation of a PyTorch model with a custom CUDA kernel. The model is a fused probability-flow ODE integration using Euler steps with a neural network velocity fiel...I need to summarize the internal reasoning trace for the user's query, speaking directly as myself answering the question. The trace describes creating a custom CUDA kernel for a PyTorch model that fuses a probability-flow ODE integration using Euler steps with a neural network velocity field.
assistant```python
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline
cuda_source = r'''
#include <torch/extension.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include <math.h>
__device__ __forceinline__ float silu(float x) {
return x / (1.0f + expf(-x));
}
__global__ void euler_step_kernel(
const float* __restrict__ x_in,
float* __restrict__ x_out,
const float* __restrict__ w1, const float* __restrict__ b1,
const float* __restrict__ w2, const float* __restrict__ b2,
const float* __restrict__ w3, const float* __restrict__ b3,
int B, int dim, int hidden, float dt, float t
) {
int b = blockIdx.x;
if (b >= B) return;
extern __shared__ float smem[];
float* h1 = smem;
float* h2 = smem + hidden;
const float* x = x_in + b * dim;
// Layer 1: [dim+1] -> hidden
for (int i = threadIdx.x; i < hidden; i += blockDim.x) {
float sum = b1[i];
for (int j = 0; j < dim; j++) {
sum += x[j] * w1[i * (dim + 1) + j];
}
sum += t * w1[i * (dim + 1) + dim];
h1[i] = silu(sum);
}
__syncthreads();
// Layer 2: hidden -> hidden
for (int i = threadIdx.x; i < hidden; i += blockDim.x) {
float sum = b2[i];
for (int j = 0; j < hidden; j++) {
sum += h1[j] * w2[i * hidden + j];
}
h2[i] = silu(sum);
}
__syncthreads();
// Layer 3: hidden -> dim
for (int i = threadIdx.x; i < dim; i += blockDim.x) {
float sum = b3[i];
for (int j = 0; j < hidden; j++) {
sum += h2[j] * w3[i * hidden + j];
}
float v = sum;
x_out[b * dim + i] = x[i] + dt * v;
}
}
torch::Tensor fused_euler_cuda(
torch::Tensor x0,
torch::Tensor w1, torch::Tensor b1,
torch::Tensor w2, torch::Tensor b2,
torch::Tensor w3, torch::Tensor b3,
int num_steps, float dt
) {
auto B = x0.size(0);
auto dim = x0.size(1);
auto hidden = w1.size(0);
auto options = x0.options();
auto x = x0.clone();
const int threads = 128;
size_t smem_size = 2 * hidden * sizeof(float);
for (int k = 0; k < num_steps; k++) {
float t = (float(k) + 0.5f) / float(num_steps);
auto x_next = torch::empty_like(x);
euler_step_kernel<<<B, threads, smem_size>>>(
x.data_ptr<float>(),
x_next.data_ptr<float>(),
w1.data_ptr<float>(), b1.data_ptr<float>(),
w2.data_ptr<float>(), b2.data_ptr<float>(),
w3.data_ptr<float>(), b3.data_ptr<float>(),
B, dim, hidden, dt, t
);
x = x_next;
}
return x;
}
'''
cpp_source = r'''
torch::Tensor fused_euler_cuda(
torch::Tensor x0,
torch::Tensor w1, torch::Tensor b1,
torch::Tensor w2, torch::Tensor b2,
torch::Tensor w3, torch::Tensor b3,
int num_steps, float dt
);
'''
module = load_inline(
name='fused_euler',
cpp_sources=cpp_source,
cuda_sources=cuda_source,
functions=['fused_euler_cuda'],
verbose=False
)
class ModelNew(nn.Module):
def __init__(self, dim: int, num_steps: int):
super().__init__()
assert dim >= 1 and num_steps >= 1
self.dim = dim
self.num_steps = num_steps
self.dt = 1.0 / float(num_steps)
self.velocity = nn.Sequential(
nn.Linear(dim + 1, dim * 4),
nn.SiLU(),
nn.Linear(dim * 4, dim * 4),
nn.SiLU(),
nn.Linear(dim * 4, dim),
)
# Cache weights in contiguous float32 for the kernel
self.register_buffer('w1', None)
self.register_buffer('b1', None)
self.register_buffer('w2', None)
self.register_buffer('b2', None)
self.register_buffer('w3', None)
self.register_buffer('b3', None)
def _cache_weights(self):
if self.w1 is None:
l1, l2, l3 = self.velocity[0], self.velocity[2], self.velocity[4]
self.w1 = l1.weight.data.contiguous()
self.b1 = l1.bias.data.contiguous()
self.w2 = l2.weight.data.contiguous()
self.b2 = l2.bias.data.contiguous()
self.w3 = l3.weight.data.contiguous()
self.b3 = l3.bias.data.contiguous()
def forward(self, x0: torch.Tensor) -> torch.Tensor:
self._cache_weights()
x = x0.to(torch.float32).contiguous()
B, d = x.shape
assert d == self.dim
dt = float(self.dt)
return module.fused_euler_cuda(
x,
self.w1, self.b1,
self.w2, self.b2,
self.w3, self.b3,
self.num_steps, dt
)
```
This is the complete Python module with the fused CUDA kernel. It uses a single kernel per Euler step with shared memory for hidden activations, fusing the MLP evaluation and the Euler update. The weights are cached from the reference Sequential for equivalence. The kernel runs entirely in fp32. Submit now.
call → submit_kernel
callsubmit_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\n\n__device__ __forceinline__ float silu(float x) {\n return x / (1.0f + expf(-x));\n}\n\n__global__ void euler_step_kernel(\n const float* __restrict__ x_in,\n float* __restrict__ x_out,\n const float* __restrict__ w1, const float* __restrict__ b1,\n const float* __restrict__ w2, const float* __restrict__ b2,\n const float* __restrict__ w3, const float* __restrict__ b3,\n int B, int dim, int hidden, float dt, float t\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n\n extern __shared__ float smem[];\n float* h1 = smem;\n float* h2 = smem + hidden;\n\n const float* x = x_in + b * dim;\n\n // Layer 1: [dim+1] -> hidden\n for (int i = threadIdx.x; i < hidden; i += blockDim.x) {\n float sum = b1[i];\n for (int j = 0; j < dim; j++) {\n sum += x[j] * w1[i * (dim + 1) + j];\n }\n sum += t * w1[i * (dim + 1) + dim];\n h1[i] = silu(sum);\n }\n __syncthreads();\n\n // Layer 2: hidden -> hidden\n for (int i = threadIdx.x; i < hidden; i += blockDim.x) {\n float sum = b2[i];\n for (int j = 0; j < hidden; j++) {\n sum += h1[j] * w2[i * hidden + j];\n }\n h2[i] = silu(sum);\n }\n __syncthreads();\n\n // Layer 3: hidden -> dim\n for (int i = threadIdx.x; i < dim; i += blockDim.x) {\n float sum = b3[i];\n for (int j = 0; j < hidden; j++) {\n sum += h2[j] * w3[i * hidden + j];\n }\n float v = sum;\n x_out[b * dim + i] = x[i] + dt * v;\n }\n}\n\ntorch::Tensor fused_euler_cuda(\n torch::Tensor x0,\n torch::Tensor w1, torch::Tensor b1,\n torch::Tensor w2, torch::Tensor b2,\n torch::Tensor w3, torch::Tensor b3,\n int num_steps, float dt\n) {\n auto B = x0.size(0);\n auto dim = x0.size(1);\n auto hidden = w1.size(0);\n auto options = x0.options();\n auto x = x0.clone();\n\n const int threads = 128;\n size_t smem_size = 2 * hidden * sizeof(float);\n\n for (int k = 0; k < num_steps; k++) {\n float t = (float(k) + 0.5f) / float(num_steps);\n auto x_next = torch::empty_like(x);\n euler_step_kernel<<<B, threads, smem_size>>>(\n x.data_ptr<float>(),\n x_next.data_ptr<float>(),\n w1.data_ptr<float>(), b1.data_ptr<float>(),\n w2.data_ptr<float>(), b2.data_ptr<float>(),\n w3.data_ptr<float>(), b3.data_ptr<float>(),\n B, dim, hidden, dt, t\n );\n x = x_next;\n }\n return x;\n}\n'''\n\ncpp_source = r'''\ntorch::Tensor fused_euler_cuda(\n torch::Tensor x0,\n torch::Tensor w1, torch::Tensor b1,\n torch::Tensor w2, torch::Tensor b2,\n torch::Tensor w3, torch::Tensor b3,\n int num_steps, float dt\n);\n'''\n\nmodule = load_inline(\n name='fused_euler',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['fused_euler_cuda'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, dim: int, num_steps: int):\n super().__init__()\n assert dim >= 1 and num_steps >= 1\n self.dim = dim\n self.num_steps = num_steps\n self.dt = 1.0 / float(num_steps)\n\n self.velocity = nn.Sequential(\n nn.Linear(dim + 1, dim * 4),\n nn.SiLU(),\n nn.Linear(dim * 4, dim * 4),\n nn.SiLU(),\n nn.Linear(dim * 4, dim),\n )\n\n # Cache weights in contiguous float32 for the kernel\n self.register_buffer('w1', None)\n self.register_buffer('b1', None)\n self.register_buffer('w2', None)\n self.register_buffer('b2', None)\n self.register_buffer('w3', None)\n self.register_buffer('b3', None)\n\n def _cache_weights(self):\n if self.w1 is None:\n l1, l2, l3 = self.velocity[0], self.velocity[2], self.velocity[4]\n self.w1 = l1.weight.data.contiguous()\n self.b1 = l1.bias.data.contiguous()\n self.w2 = l2.weight.data.contiguous()\n self.b2 = l2.bias.data.contiguous()\n self.w3 = l3.weight.data.contiguous()\n self.b3 = l3.bias.data.contiguous()\n\n def forward(self, x0: torch.Tensor) -> torch.Tensor:\n self._cache_weights()\n x = x0.to(torch.float32).contiguous()\n B, d = x.shape\n assert d == self.dim\n dt = float(self.dt)\n return module.fused_euler_cuda(\n x,\n self.w1, self.b1,\n self.w2, self.b2,\n self.w3, self.b3,\n self.num_steps, dt\n )\n```"
}
result ← submit_kernel (fail)
failsubmit_kernel
submit_kernel FAILED: kernel did not compile.
Syntax error in custom generated code or ModelNew not found