grok-4.3 · popcorn · pop_l123_st_gpt
compile_fail 5_FlowMatchingProbabilityFlowODE.py
model
grok-4.3
turns / max
1 / 1
tool calls
1
tokens (total)
4669
wall clock
146.4s
truncated
no
backend
cuda fp32
variant
popcorn
runtime
—
ref runtime
-1.00 μs
speedup
—
started
2026-05-11T10:08:05Z
compile error: Syntax error in custom generated code or ModelNew not found
timingkernelbench.timing
kernel runtime
—
ref runtime
—
speedup
—
kernel mean / median / std
—
ref mean / median / std
—
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn

# Default ModelNew is PyTorch-only. run_and_check: use check_kernel=False with backend=cuda
# until the candidate file contains a real CUDA kernel (see kernel_static_checker).


class Model(nn.Module):
    """
    **Fused probability-flow ODE integration** (flow-matching style) in one ``forward``.

    Models the ODE ``dx/dt = v_θ(x, t)`` on ``t ∈ [0, 1]`` with a learned velocity
    field. A **single fused pass** unrolls **fixed-step Euler** integration for
    ``num_steps`` substeps—typical for **real-time trajectory / action generation**
    where latency is dominated by repeated ``v_θ`` evaluations.

    This is the continuous-time analogue of a rectified-flow / conditional-flow
    sampler: one ``forward`` returns an approximate **x(1)** from **x(0)** without a
    Python loop across separate module calls (fusion target for the integrator +
    field).
    """

    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.register_buffer("dt", torch.tensor(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),
        )

    def forward(self, x0: torch.Tensor) -> torch.Tensor:
        """
        Args:
            x0: (B, dim) initial state at ``t = 0`` (e.g. noise or anchor trajectory).
        Returns:
            (B, dim) approximate state at ``t = 1`` after fused Euler integration.
        """
        B, d = x0.shape
        assert d == self.dim
        x = x0
        dt = self.dt.to(dtype=x0.dtype, device=x0.device)
        for k in range(self.num_steps):
            t = (float(k) + 0.5) / float(self.num_steps)
            t_b = torch.full((B, 1), t, device=x0.device, dtype=x0.dtype)
            inp = torch.cat([x, t_b], dim=-1)
            v = self.velocity(inp)
            x = x + dt * v
        return x


class ModelNew(nn.Module):
    """KernelBench candidate entry point; default delegates to ``Model``."""

    def __init__(self, dim: int, num_steps: int):
        super().__init__()
        self._impl = Model(dim, num_steps)

    def forward(self, x0: torch.Tensor) -> torch.Tensor:
        return self._impl(x0)


batch_size = 8
dim = 64
num_steps = 32


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


def get_init_inputs():
    return [dim, num_steps]
turn 0 · FINAL · 1 tool call(s) · 146.4s turn · 36.3s LLM · tokens in=1,523 · out=2,763 · total=4,669 · 11,668 chars (click to expand)
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
final submitted kernel (162 lines, 4,642 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

cuda_source = r'''
#include <torch/extension.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include <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
        )
```