gpt-5.5-priority · popcorn · l12_default_gpt
error 21_RadialBasisFunctionExpansion.py
model
gpt-5.5-priority
turns / max
7 / 10
tool calls
6
tokens (total)
0
wall clock
—
truncated
no
backend
cuda fp32
variant
popcorn
runtime
—
ref runtime
0.00 μs
speedup
—
started
2026-05-02T22:10:31Z
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn
import math


class Model(nn.Module):
    """
    Radial Basis Function (RBF) expansion of interatomic distances.
    Standard featurization in molecular graph neural networks (SchNet,
    DimeNet, GemNet) that converts scalar distances into a feature vector
    of Gaussian-basis evaluations.
    """

    def __init__(self, num_rbf=64, cutoff=5.0):
        super().__init__()
        self.num_rbf = num_rbf
        self.cutoff = cutoff
        offsets = torch.linspace(0.0, cutoff, num_rbf)
        self.register_buffer("offsets", offsets)
        coeff = -0.5 / (offsets[1] - offsets[0]).item() ** 2
        self.coeff = coeff

    def forward(self, distances: torch.Tensor) -> torch.Tensor:
        """
        Args:
            distances: (B, N, N) – pairwise distance matrix (or (B, E) edge list)
        Returns:
            rbf_features: (*distances.shape, num_rbf) – expanded features
        """
        # Cosine cutoff envelope
        d_scaled = distances.unsqueeze(-1)  # (..., 1)
        envelope = 0.5 * (torch.cos(math.pi * d_scaled / self.cutoff) + 1.0)
        envelope = envelope * (d_scaled < self.cutoff).float()

        rbf = torch.exp(self.coeff * (d_scaled - self.offsets) ** 2)
        return rbf * envelope


num_atoms = 256
num_rbf = 64
cutoff = 5.0
batch_size = 8


def get_inputs():
    p = popcorn_pri
    coords = torch.randn(p.jitter_int(batch_size), p.jitter_int(num_atoms), 3)
    diff = coords.unsqueeze(2) - coords.unsqueeze(1)
    distances = torch.sqrt((diff ** 2).sum(-1) + 1e-8)
    return [distances]


def get_init_inputs():
    return [num_rbf, cutoff]
turn 03.9s turn · 3.9s LLM · 0.0s tools
reasoning
**Considering optimization details** I need to create a Python file called ModelNew. My goal is to optimize the RBF expansion distances to a shape of (8,256,256) in fp32 and ensure it’s contiguous for CUDA. The output shape should be (8,256,256,64), which is around 33.5 million floats or 134MB. I'm concerned about computation expenses since cosine calculations can be resource-intensive. I’ll also consider how PyTorch handles intermediates, as they can slow things down. Lastly, I need to check the GPU specs for compatibility.
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) · 45.4s turn · 45.4s LLM · 9,451 chars (click to expand)
turn 145.4s turn · 45.4s LLM · 0.0s tools
reasoning
**Calculating coefficients and values** I’m figuring out the coefficient with the formula Coeff = -0.5/delta^2, which with a cutoff of 5 and R as 64 gives about -79.38. The values seem small, and the tolerance level (atol) looks fine, but I need to check for alignment. Maybe I should consider using __expf for a faster approximation? I’m wondering if the error might be close to ulp. Let's see how this plays out! **Creating C++ wrapper** I’m looking into creating a C++ wrapper for output sizes. I need to include `torch/extension.h`, and I'm considering how CUDA code interacts with the wrapper. It seems the `load_inline` function can handle both `cpp_sources` for the host and `cuda_sources` for the kernels. I also need to declare `rbf_forward_cuda` in the C++. There’s a risk with compiling using `-use_fast_math`, so I should add some extra CUDA flags. Let’s move forward and test it out!
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\n_cpp_src = r'''\n#include <torch/extension.h>\n\ntorch::Tensor rbf_forward_cuda(torch::Tensor distances, int64_t num_rbf, double cutoff);\n\ntorch::Tensor rbf_forward(torch::Tensor distances, int64_t num_rbf, double cutoff) {\n return rbf_forward_cuda(distances, num_rbf, cutoff);\n}\n'''\n\n_cuda_src = r'''\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\n__global__ void rbf64_kernel(const float* __restrict__ dists,\n float* __restrict__ out,\n int64_t M,\n float cutoff,\n float coeff) {\n // 4 distances per block, 64 threads/features per distance = 256 threads\n constexpr int R = 64;\n constexpr int DPB = 4;\n __shared__ float s_d[DPB];\n __shared__ float s_env[DPB];\n int tid = threadIdx.x;\n int g = tid >> 6; // 0..3\n int r = tid & 63; // 0..63\n int64_t m = (int64_t)blockIdx.x * DPB + g;\n if (m >= M) return;\n if (r == 0) {\n float d = dists[m];\n s_d[g] = d;\n float env = 0.0f;\n if (d < cutoff) {\n env = 0.5f * (__cosf(3.14159265358979323846f * d / cutoff) + 1.0f);\n }\n s_env[g] = env;\n }\n __syncthreads();\n float d = s_d[g];\n float off = (cutoff * (float)r) * (1.0f / 63.0f);\n float x = d - off;\n float val = __expf(coeff * x * x) * s_env[g];\n out[m * R + r] = val;\n}\n\n__global__ void rbf_generic_kernel(const float* __restrict__ dists,\n float* __restrict__ out,\n int64_t M,\n int R,\n float cutoff,\n float coeff,\n float inv_rminus1) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t total = M * (int64_t)R;\n if (idx >= total) return;\n int r = (int)(idx % R);\n int64_t m = idx / R;\n float d = dists[m];\n float env = 0.0f;\n if (d < cutoff) {\n env = 0.5f * (__cosf(3.14159265358979323846f * d / cutoff) + 1.0f);\n }\n float off = cutoff * (float)r * inv_rminus1;\n float x = d - off;\n out[idx] = __expf(coeff * x * x) * env;\n}\n\ntorch::Tensor rbf_forward_cuda(torch::Tensor distances, int64_t num_rbf, double cutoff_d) {\n TORCH_CHECK(distances.is_cuda(), \"distances must be CUDA\");\n TORCH_CHECK(distances.scalar_type() == torch::kFloat32, \"distances must be float32\");\n auto dist = distances.contiguous();\n std::vector<int64_t> sizes = dist.sizes().vec();\n sizes.push_back(num_rbf);\n auto out = torch::empty(sizes, dist.options());\n int64_t M = dist.numel();\n if (M == 0) return out;\n float cutoff = (float)cutoff_d;\n float step = cutoff / (float)(num_rbf - 1);\n float coeff = -0.5f / (step * step);\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (num_rbf == 64) {\n dim3 block(256);\n dim3 grid((unsigned int)((M + 3) / 4));\n rbf64_kernel<<<grid, block, 0, stream>>>(dist.data_ptr<float>(), out.data_ptr<float>(), M, cutoff, coeff);\n } else {\n int threads = 256;\n int64_t total = M * num_rbf;\n int blocks = (int)((total + threads - 1) / threads);\n float inv = 1.0f / (float)(num_rbf - 1);\n rbf_generic_kernel<<<blocks, threads, 0, stream>>>(dist.data_ptr<float>(), out.data_ptr<float>(), M, (int)num_rbf, cutoff, coeff, inv);\n }\n return out;\n}\n'''\n\n_rbf_ext = load_inline(\n name='rbf_ext_v1',\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=['rbf_forward'],\n extra_cuda_cflags=['-O3', '--use_fast_math'],\n extra_cflags=['-O3'],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_rbf=64, cutoff=5.0):\n super().__init__()\n self.num_rbf = num_rbf\n self.cutoff = cutoff\n offsets = torch.linspace(0.0, cutoff, num_rbf)\n self.register_buffer('offsets', offsets)\n self.coeff = -0.5 / (offsets[1] - offsets[0]).item() ** 2\n\n def forward(self, distances: torch.Tensor) -> torch.Tensor:\n return _rbf_ext.rbf_forward(distances, self.num_rbf, float(self.cutoff))\n" }
result ← compile_kernel (fail)
failcompile_kernel compile_kernel FAILED: RuntimeError. RuntimeError: Error building extension 'rbf_ext_v1': [1/3] /opt/conda/bin/x86_64-conda-linux-gnu-c++ -MMD -MF main.o.d -DTORCH_EXTENSION_NAME=rbf_ext_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/tejas/PopcornBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/tejas/PopcornBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /home/prabhune/.local/share/uv/python/cpython-3.10-linux-x86_64-gnu/include/python3.10 -fPIC -std=c++17 -O3 -c /scratch/tejas/PopcornBench/runs/l12_default/popcorn/gpt-5.5-priority/level_1_problem_21_cache/k_883a26834764/rbf_ext_v1/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=rbf_ext_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/tejas/PopcornBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/tejas/PopcornBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /home/prabhune/.local/share/uv/python/cpython-3.10-linux-x86_64-gnu/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/tejas/PopcornBench/runs/l12_default/popcorn/gpt-5.5-priority/level_1_problem_21_cache/k_883a26834764/rbf_ext_v1/cuda.cu -o cuda.cuda.o FAILED: [code=2] 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=rbf_ext_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/tejas/PopcornBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/tejas/PopcornBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /home/prabhune/.local/share/uv/python/cpython-3.10-linux-x86_64-gnu/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/tejas/PopcornBench/runs/l12_default/popcorn/gpt-5.5-priority/level_1_problem_21_cache/k_883a26834764/rbf_ext_v1/cuda.cu -o cuda.cuda.o nvcc warning : incompatible redefinition for option 'compiler-bindir', the last value of this option was used /scratch/tejas/PopcornBench/runs/l12_default/popcorn/gpt-5.5-priority/level_1_problem_21_cache/k_883a26834764/rbf_ext_v1/cuda.cu(76): error: namespace "at::cuda" has no member "getCurrentCUDAStream" cudaStream_t stream = at::cuda::getCurrentCUDAStream(); ^ 1 error detected in the compilation of "/scratch/tejas/PopcornBench/runs/l12_default/popcorn/gpt-5.5-priority/level_1_problem_21_cache/k_883a26834764/rbf_ext_v1/cuda.cu". ninja: build stopped: subcommand failed.
turn 28.0s turn · 8.0s LLM · 0.0s tools
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\n_cpp_src = r'''\n#include <torch/extension.h>\n\ntorch::Tensor rbf_forward_cuda(torch::Tensor distances, int64_t num_rbf, double cutoff);\n\ntorch::Tensor rbf_forward(torch::Tensor distances, int64_t num_rbf, double cutoff) {\n return rbf_forward_cuda(distances, num_rbf, cutoff);\n}\n'''\n\n_cuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\n__global__ void rbf64_kernel(const float* __restrict__ dists,\n float* __restrict__ out,\n int64_t M,\n float cutoff,\n float coeff) {\n constexpr int R = 64;\n constexpr int DPB = 4;\n __shared__ float s_d[DPB];\n __shared__ float s_env[DPB];\n int tid = threadIdx.x;\n int g = tid >> 6;\n int r = tid & 63;\n int64_t m = (int64_t)blockIdx.x * DPB + g;\n if (m >= M) return;\n if (r == 0) {\n float d = dists[m];\n s_d[g] = d;\n float env = 0.0f;\n if (d < cutoff) {\n env = 0.5f * (__cosf(3.14159265358979323846f * d / cutoff) + 1.0f);\n }\n s_env[g] = env;\n }\n __syncthreads();\n float d = s_d[g];\n float off = (cutoff * (float)r) * (1.0f / 63.0f);\n float x = d - off;\n float val = __expf(coeff * x * x) * s_env[g];\n out[m * R + r] = val;\n}\n\n__global__ void rbf_generic_kernel(const float* __restrict__ dists,\n float* __restrict__ out,\n int64_t M,\n int R,\n float cutoff,\n float coeff,\n float inv_rminus1) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t total = M * (int64_t)R;\n if (idx >= total) return;\n int r = (int)(idx % R);\n int64_t m = idx / R;\n float d = dists[m];\n float env = 0.0f;\n if (d < cutoff) {\n env = 0.5f * (__cosf(3.14159265358979323846f * d / cutoff) + 1.0f);\n }\n float off = cutoff * (float)r * inv_rminus1;\n float x = d - off;\n out[idx] = __expf(coeff * x * x) * env;\n}\n\ntorch::Tensor rbf_forward_cuda(torch::Tensor distances, int64_t num_rbf, double cutoff_d) {\n TORCH_CHECK(distances.is_cuda(), \"distances must be CUDA\");\n TORCH_CHECK(distances.scalar_type() == torch::kFloat32, \"distances must be float32\");\n auto dist = distances.contiguous();\n std::vector<int64_t> sizes = dist.sizes().vec();\n sizes.push_back(num_rbf);\n auto out = torch::empty(sizes, dist.options());\n int64_t M = dist.numel();\n if (M == 0) return out;\n float cutoff = (float)cutoff_d;\n float step = cutoff / (float)(num_rbf - 1);\n float coeff = -0.5f / (step * step);\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (num_rbf == 64) {\n dim3 block(256);\n dim3 grid((unsigned int)((M + 3) / 4));\n rbf64_kernel<<<grid, block, 0, stream>>>(dist.data_ptr<float>(), out.data_ptr<float>(), M, cutoff, coeff);\n } else {\n int threads = 256;\n int64_t total = M * num_rbf;\n int blocks = (int)((total + threads - 1) / threads);\n float inv = 1.0f / (float)(num_rbf - 1);\n rbf_generic_kernel<<<blocks, threads, 0, stream>>>(dist.data_ptr<float>(), out.data_ptr<float>(), M, (int)num_rbf, cutoff, coeff, inv);\n }\n return out;\n}\n'''\n\n_rbf_ext = load_inline(\n name='rbf_ext_v2',\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=['rbf_forward'],\n extra_cuda_cflags=['-O3', '--use_fast_math'],\n extra_cflags=['-O3'],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_rbf=64, cutoff=5.0):\n super().__init__()\n self.num_rbf = num_rbf\n self.cutoff = cutoff\n offsets = torch.linspace(0.0, cutoff, num_rbf)\n self.register_buffer('offsets', offsets)\n self.coeff = -0.5 / (offsets[1] - offsets[0]).item() ** 2\n\n def forward(self, distances: torch.Tensor) -> torch.Tensor:\n return _rbf_ext.rbf_forward(distances, self.num_rbf, float(self.cutoff))\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 39.4s turn · 9.4s LLM · 0.0s tools
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\n_cpp_src = r'''\n#include <torch/extension.h>\n\ntorch::Tensor rbf_forward_cuda(torch::Tensor distances, int64_t num_rbf, double cutoff);\n\ntorch::Tensor rbf_forward(torch::Tensor distances, int64_t num_rbf, double cutoff) {\n return rbf_forward_cuda(distances, num_rbf, cutoff);\n}\n'''\n\n_cuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\n__global__ void rbf64_kernel(const float* __restrict__ dists,\n float* __restrict__ out,\n int64_t M,\n float cutoff,\n float coeff) {\n constexpr int R = 64;\n constexpr int DPB = 4;\n __shared__ float s_d[DPB];\n __shared__ float s_env[DPB];\n int tid = threadIdx.x;\n int g = tid >> 6;\n int r = tid & 63;\n int64_t m = (int64_t)blockIdx.x * DPB + g;\n if (m >= M) return;\n if (r == 0) {\n float d = dists[m];\n s_d[g] = d;\n float env = 0.0f;\n if (d < cutoff) {\n env = 0.5f * (__cosf(3.14159265358979323846f * d / cutoff) + 1.0f);\n }\n s_env[g] = env;\n }\n __syncthreads();\n float d = s_d[g];\n float off = (cutoff * (float)r) * (1.0f / 63.0f);\n float x = d - off;\n float val = __expf(coeff * x * x) * s_env[g];\n out[m * R + r] = val;\n}\n\n__global__ void rbf_generic_kernel(const float* __restrict__ dists,\n float* __restrict__ out,\n int64_t M,\n int R,\n float cutoff,\n float coeff,\n float inv_rminus1) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t total = M * (int64_t)R;\n if (idx >= total) return;\n int r = (int)(idx % R);\n int64_t m = idx / R;\n float d = dists[m];\n float env = 0.0f;\n if (d < cutoff) {\n env = 0.5f * (__cosf(3.14159265358979323846f * d / cutoff) + 1.0f);\n }\n float off = cutoff * (float)r * inv_rminus1;\n float x = d - off;\n out[idx] = __expf(coeff * x * x) * env;\n}\n\ntorch::Tensor rbf_forward_cuda(torch::Tensor distances, int64_t num_rbf, double cutoff_d) {\n TORCH_CHECK(distances.is_cuda(), \"distances must be CUDA\");\n TORCH_CHECK(distances.scalar_type() == torch::kFloat32, \"distances must be float32\");\n auto dist = distances.contiguous();\n std::vector<int64_t> sizes = dist.sizes().vec();\n sizes.push_back(num_rbf);\n auto out = torch::empty(sizes, dist.options());\n int64_t M = dist.numel();\n if (M == 0) return out;\n float cutoff = (float)cutoff_d;\n float step = cutoff / (float)(num_rbf - 1);\n float coeff = -0.5f / (step * step);\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (num_rbf == 64) {\n dim3 block(256);\n dim3 grid((unsigned int)((M + 3) / 4));\n rbf64_kernel<<<grid, block, 0, stream>>>(dist.data_ptr<float>(), out.data_ptr<float>(), M, cutoff, coeff);\n } else {\n int threads = 256;\n int64_t total = M * num_rbf;\n int blocks = (int)((total + threads - 1) / threads);\n float inv = 1.0f / (float)(num_rbf - 1);\n rbf_generic_kernel<<<blocks, threads, 0, stream>>>(dist.data_ptr<float>(), out.data_ptr<float>(), M, (int)num_rbf, cutoff, coeff, inv);\n }\n return out;\n}\n'''\n\n_rbf_ext = load_inline(\n name='rbf_ext_v2',\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=['rbf_forward'],\n extra_cuda_cflags=['-O3', '--use_fast_math'],\n extra_cflags=['-O3'],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_rbf=64, cutoff=5.0):\n super().__init__()\n self.num_rbf = num_rbf\n self.cutoff = cutoff\n offsets = torch.linspace(0.0, cutoff, num_rbf)\n self.register_buffer('offsets', offsets)\n self.coeff = -0.5 / (offsets[1] - offsets[0]).item() ** 2\n\n def forward(self, distances: torch.Tensor) -> torch.Tensor:\n return _rbf_ext.rbf_forward(distances, self.num_rbf, float(self.cutoff))\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=1.31e-06 mean_abs_err=1.86e-08 max_rel_err=2.98e+04
turn 467.0s turn · 67.0s LLM · 0.0s tools
reasoning
**Testing performance calculations** I’m looking into computing expf based on a condition—specifically if d is less than a certain cutoff. It seems like I might need to consider performance improvements here. I'm thinking about using cosine calculations per distance with shared information. Maybe I’ll branch outputs to enhance efficiency. I’ll definitely run some tests to see how well this performs!
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\n_cpp_src = r'''\n#include <torch/extension.h>\ntorch::Tensor rbf_forward_cuda(torch::Tensor distances, int64_t num_rbf, double cutoff);\ntorch::Tensor rbf_forward(torch::Tensor distances, int64_t num_rbf, double cutoff) { return rbf_forward_cuda(distances, num_rbf, cutoff); }\n'''\n\n_cuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\n__global__ void rbf64_sparse_kernel(const float* __restrict__ dists, float* __restrict__ out, int64_t M, float cutoff) {\n constexpr int R = 64;\n constexpr int DPB = 4;\n __shared__ float s_q[DPB];\n __shared__ float s_env[DPB];\n int tid = threadIdx.x;\n int g = tid >> 6;\n int r = tid & 63;\n int64_t m = (int64_t)blockIdx.x * DPB + g;\n if (m >= M) return;\n if (r == 0) {\n float d = dists[m];\n float env = 0.0f;\n if (d < cutoff) {\n env = 0.5f * (__cosf(3.14159265358979323846f * d / cutoff) + 1.0f);\n }\n s_env[g] = env;\n s_q[g] = d * (63.0f / cutoff);\n }\n __syncthreads();\n float env = s_env[g];\n float val = 0.0f;\n if (env != 0.0f) {\n float t = s_q[g] - (float)r;\n float tt = t * t;\n if (tt <= 20.0f) {\n val = __expf(-0.5f * tt) * env;\n }\n }\n out[m * R + r] = val;\n}\n\n__global__ void rbf_generic_kernel(const float* __restrict__ dists, float* __restrict__ out, int64_t M, int R, float cutoff, float inv_step) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t total = M * (int64_t)R;\n if (idx >= total) return;\n int r = (int)(idx % R);\n int64_t m = idx / R;\n float d = dists[m];\n float val = 0.0f;\n if (d < cutoff) {\n float q = d * inv_step;\n float t = q - (float)r;\n float tt = t * t;\n if (tt <= 20.0f) {\n float env = 0.5f * (__cosf(3.14159265358979323846f * d / cutoff) + 1.0f);\n val = __expf(-0.5f * tt) * env;\n }\n }\n out[idx] = val;\n}\n\ntorch::Tensor rbf_forward_cuda(torch::Tensor distances, int64_t num_rbf, double cutoff_d) {\n TORCH_CHECK(distances.is_cuda(), \"distances must be CUDA\");\n TORCH_CHECK(distances.scalar_type() == torch::kFloat32, \"distances must be float32\");\n auto dist = distances.contiguous();\n std::vector<int64_t> sizes = dist.sizes().vec(); sizes.push_back(num_rbf);\n auto out = torch::empty(sizes, dist.options());\n int64_t M = dist.numel(); if (M == 0) return out;\n float cutoff = (float)cutoff_d;\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (num_rbf == 64) {\n rbf64_sparse_kernel<<<(unsigned int)((M + 3) / 4), 256, 0, stream>>>(dist.data_ptr<float>(), out.data_ptr<float>(), M, cutoff);\n } else {\n int threads=256; int64_t total=M*num_rbf; int blocks=(int)((total+threads-1)/threads);\n float inv_step=(float)(num_rbf-1)/cutoff;\n rbf_generic_kernel<<<blocks,threads,0,stream>>>(dist.data_ptr<float>(), out.data_ptr<float>(), M, (int)num_rbf, cutoff, inv_step);\n }\n return out;\n}\n'''\n\n_rbf_ext = load_inline(name='rbf_ext_v3', cpp_sources=_cpp_src, cuda_sources=_cuda_src, functions=['rbf_forward'], extra_cuda_cflags=['-O3','--use_fast_math'], extra_cflags=['-O3'], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_rbf=64, cutoff=5.0):\n super().__init__(); self.num_rbf=num_rbf; self.cutoff=cutoff\n offsets=torch.linspace(0.0, cutoff, num_rbf); self.register_buffer('offsets', offsets)\n self.coeff=-0.5/(offsets[1]-offsets[0]).item()**2\n def forward(self, distances: torch.Tensor) -> torch.Tensor:\n return _rbf_ext.rbf_forward(distances, self.num_rbf, float(self.cutoff))\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=4.51e-05 mean_abs_err=1.95e-07 max_rel_err=2.98e+04
turn 528.3s turn · 28.3s LLM · 0.0s tools
reasoning
**Calculating parameters** I’m considering how to approach computing the environment in lane0. I think I’ll need to use the shuffle operation and maybe start with the maximum value of 0 or the ceiling of \( q - \sqrt{20} \). I need to ensure I’m gathering all values of \( r \) where \( tt \) is less than or equal to 20. There’s a lot to keep track of in this process, but I feel I’m on the right track!
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\n_cpp_src = r'''\n#include <torch/extension.h>\ntorch::Tensor rbf_forward_cuda(torch::Tensor distances, int64_t num_rbf, double cutoff);\ntorch::Tensor rbf_forward(torch::Tensor distances, int64_t num_rbf, double cutoff) { return rbf_forward_cuda(distances, num_rbf, cutoff); }\n'''\n\n_cuda_src = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <vector>\n\n__global__ void rbf64_fill_kernel(const float* __restrict__ dists, float* __restrict__ out, int64_t M, float cutoff) {\n constexpr int WARPS_PER_BLOCK = 8;\n int tid = threadIdx.x;\n int warp = tid >> 5;\n int lane = tid & 31;\n int64_t m = (int64_t)blockIdx.x * WARPS_PER_BLOCK + warp;\n if (m >= M) return;\n float d = 0.0f;\n if (lane == 0) d = dists[m];\n d = __shfl_sync(0xffffffff, d, 0);\n if (d >= cutoff) return;\n float q = d * (63.0f / cutoff);\n float env = 0.0f;\n if (lane == 0) env = 0.5f * (__cosf(3.14159265358979323846f * d / cutoff) + 1.0f);\n env = __shfl_sync(0xffffffff, env, 0);\n int start = (int)ceilf(q - 4.472135955f);\n int end = (int)floorf(q + 4.472135955f);\n if (start < 0) start = 0;\n if (end > 63) end = 63;\n int r = start + lane;\n if (r <= end) {\n float t = q - (float)r;\n float val = __expf(-0.5f * t * t) * env;\n out[m * 64 + r] = val;\n }\n}\n\n__global__ void rbf_generic_kernel(const float* __restrict__ dists, float* __restrict__ out, int64_t M, int R, float cutoff, float inv_step) {\n int64_t idx = (int64_t)blockIdx.x * blockDim.x + threadIdx.x;\n int64_t total = M * (int64_t)R;\n if (idx >= total) return;\n int r = (int)(idx % R);\n int64_t m = idx / R;\n float d = dists[m];\n float val = 0.0f;\n if (d < cutoff) {\n float q = d * inv_step;\n float t = q - (float)r;\n float tt = t * t;\n if (tt <= 20.0f) {\n float env = 0.5f * (__cosf(3.14159265358979323846f * d / cutoff) + 1.0f);\n val = __expf(-0.5f * tt) * env;\n }\n }\n out[idx] = val;\n}\n\ntorch::Tensor rbf_forward_cuda(torch::Tensor distances, int64_t num_rbf, double cutoff_d) {\n TORCH_CHECK(distances.is_cuda(), \"distances must be CUDA\");\n TORCH_CHECK(distances.scalar_type() == torch::kFloat32, \"distances must be float32\");\n auto dist = distances.contiguous();\n std::vector<int64_t> sizes = dist.sizes().vec(); sizes.push_back(num_rbf);\n auto out = torch::empty(sizes, dist.options());\n int64_t M = dist.numel(); if (M == 0) return out;\n float cutoff = (float)cutoff_d;\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (num_rbf == 64) {\n cudaMemsetAsync(out.data_ptr<float>(), 0, (size_t)(M * 64) * sizeof(float), stream);\n rbf64_fill_kernel<<<(unsigned int)((M + 7) / 8), 256, 0, stream>>>(dist.data_ptr<float>(), out.data_ptr<float>(), M, cutoff);\n } else {\n int threads=256; int64_t total=M*num_rbf; int blocks=(int)((total+threads-1)/threads);\n float inv_step=(float)(num_rbf-1)/cutoff;\n rbf_generic_kernel<<<blocks,threads,0,stream>>>(dist.data_ptr<float>(), out.data_ptr<float>(), M, (int)num_rbf, cutoff, inv_step);\n }\n return out;\n}\n'''\n\n_rbf_ext = load_inline(name='rbf_ext_v4', cpp_sources=_cpp_src, cuda_sources=_cuda_src, functions=['rbf_forward'], extra_cuda_cflags=['-O3','--use_fast_math'], extra_cflags=['-O3'], verbose=False)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_rbf=64, cutoff=5.0):\n super().__init__(); self.num_rbf=num_rbf; self.cutoff=cutoff\n offsets=torch.linspace(0.0, cutoff, num_rbf); self.register_buffer('offsets', offsets)\n self.coeff=-0.5/(offsets[1]-offsets[0]).item()**2\n def forward(self, distances: torch.Tensor) -> torch.Tensor:\n return _rbf_ext.rbf_forward(distances, self.num_rbf, float(self.cutoff))\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=4.51e-05 mean_abs_err=1.95e-07 max_rel_err=2.98e+04
turn 66786.4s turn · 6786.4s LLM · 0.0s tools
feedbackLLM call failed: _WorkItemTimeout: work item exceeded soft timeout budget