grok-4.3 · popcorn · pop_l123_all_gpt
correct 20_GatedDeltaNetLinearAttention.py
model
grok-4.3
turns / max
4 / 15
tool calls
4
tokens (total)
17572
wall clock
520.5s
truncated
no
backend
cuda fp32
variant
popcorn
runtime
0.26 μs
ref runtime
8.44 μs
speedup
33.10x
started
2026-05-11T19:21:25Z
timingkernelbench.timing
kernel runtime
0.26 μs
ref runtime
8.44 μs
speedup
33.10x
kernel mean / median / std
0.26 / — / 0.00 μs
ref mean / median / std
8.44 / — / 0.13 μs
numerical precisioneval_kernel_against_ref
max abs error
6.68e-06
mean abs error
2.12e-07
max rel error
0.00
mean rel error
5.78e-07
gpu memoryextended_metrics.measure_memory
kernel peak
33.38 MB
ref peak
33.54 MB
kernel / ref
1.00x
kernel launches / fusiontorch.profiler
kernel launches
4
ref launches
3975
fusion ratio (ref / kernel)
993.75x
total cuda time
157 μs
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
8.000e-04
dram util %
0.1%
compute util %
0.0%
bottleneck
unknown
dominant pipe
None
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
2.69 GB/s
dram util %
0.1%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
18.7%
bottleneck
unknown
dominant pipe %
—
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
182.4%
ld sectors / req
1.47
st sectors / req
—
regs / thread
48
smem / block
4352 B
block size
384
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
892.5%
short_scoreboard
465.2%
mio_throttle
0.8%
flagssubmit_kernel guard
excessive speedup
flagged
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn


class Model(nn.Module):
    """
    Scalar-gated delta-rule linear attention recurrence.

    A recurrent state matrix is decayed by a scalar gate per head, updated by a
    rank-1 key/value outer product, then read out by a query vector.
    """

    def __init__(self):
        super().__init__()

    def forward(
        self,
        q: torch.Tensor,
        k: torch.Tensor,
        v: torch.Tensor,
        gate: torch.Tensor,
        beta: torch.Tensor,
    ) -> torch.Tensor:
        batch_size, seq_len, num_heads, head_dim = q.shape
        state = torch.zeros(batch_size, num_heads, head_dim, head_dim, dtype=q.dtype, device=q.device)
        outputs = []

        for t in range(seq_len):
            gate_t = gate[:, t].unsqueeze(-1).unsqueeze(-1)
            beta_t = beta[:, t].unsqueeze(-1).unsqueeze(-1)
            kv_outer = k[:, t].unsqueeze(-1) * v[:, t].unsqueeze(-2)
            state = gate_t * state + beta_t * kv_outer
            y_t = (q[:, t].unsqueeze(-1) * state).sum(dim=-2)
            outputs.append(y_t)

        return torch.stack(outputs, dim=1)


batch_size = 2
seq_len = 128
num_heads = 4
head_dim = 24


def get_inputs():
    p = popcorn_pri
    q = torch.randn(p.jitter_int(batch_size), p.jitter_int(seq_len), p.jitter_int(num_heads), p.jitter_int(head_dim, align=8), dtype=torch.float32)
    k = torch.randn(p.jitter_int(batch_size), p.jitter_int(seq_len), p.jitter_int(num_heads), p.jitter_int(head_dim, align=8), dtype=torch.float32)
    v = torch.randn(p.jitter_int(batch_size), p.jitter_int(seq_len), p.jitter_int(num_heads), p.jitter_int(head_dim, align=8), dtype=torch.float32)
    gate = torch.sigmoid(torch.randn(p.jitter_int(batch_size), p.jitter_int(seq_len), p.jitter_int(num_heads), dtype=torch.float32))
    beta = torch.sigmoid(torch.randn(p.jitter_int(batch_size), p.jitter_int(seq_len), p.jitter_int(num_heads), dtype=torch.float32))
    return [q, k, v, gate, beta]


def get_init_inputs():
    return []
turn 0174.6s turn · 9.9s LLM · 164.6s tools · tokens in=2,206 · out=6 · total=2,752
reasoning
The task is to replace the forward computation of a PyTorch model with a custom CUDA kernel. The model is a scalar-gated delta-rule linear attention recurrence. I need to replace the forward computation of a PyTorch model with a custom CUDA kernel for a scalar-gated delta-rule linear attention recurrence. The new model class, ModelNew, must accept the same inputs as the original and implement forward with the same signature, producing identical outputs.
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 188.8s turn · 14.4s LLM · 74.4s tools · tokens in=2,985 · out=912 · total=3,975
reasoning
GPU is H100, plenty of resources. D=24 small.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void delta_rule_kernel(\n const float* __restrict__ q,\n const float* __restrict__ k,\n const float* __restrict__ v,\n const float* __restrict__ gate,\n const float* __restrict__ beta,\n float* __restrict__ output,\n int batch_size,\n int seq_len,\n int num_heads,\n int head_dim\n) {\n int bh = blockIdx.x;\n int b = bh / num_heads;\n int h = bh % num_heads;\n if (b >= batch_size) return;\n\n extern __shared__ float state[]; // head_dim * head_dim\n\n int D = head_dim;\n for (int i = threadIdx.x; i < D * D; i += blockDim.x) {\n state[i] = 0.0f;\n }\n __syncthreads();\n\n for (int t = 0; t < seq_len; t++) {\n float g = gate[(b * seq_len + t) * num_heads + h];\n float be = beta[(b * seq_len + t) * num_heads + h];\n\n // update state: state = g * state + be * outer(k, v)\n for (int i = threadIdx.x; i < D * D; i += blockDim.x) {\n int row = i / D;\n int col = i % D;\n float kv = k[((b * seq_len + t) * num_heads + h) * D + row] *\n v[((b * seq_len + t) * num_heads + h) * D + col];\n float old = state[i];\n state[i] = g * old + be * kv;\n }\n __syncthreads();\n\n // compute y = q @ state (sum over dim -2, i.e. q row vector * state)\n for (int j = threadIdx.x; j < D; j += blockDim.x) {\n float sum = 0.0f;\n for (int i = 0; i < D; i++) {\n float qval = q[((b * seq_len + t) * num_heads + h) * D + i];\n sum += qval * state[i * D + j];\n }\n output[((b * seq_len + t) * num_heads + h) * D + j] = sum;\n }\n __syncthreads();\n }\n}\n\ntorch::Tensor delta_rule_cuda(\n torch::Tensor q,\n torch::Tensor k,\n torch::Tensor v,\n torch::Tensor gate,\n torch::Tensor beta\n) {\n int batch_size = q.size(0);\n int seq_len = q.size(1);\n int num_heads = q.size(2);\n int head_dim = q.size(3);\n\n auto output = torch::zeros({batch_size, seq_len, num_heads, head_dim}, q.options());\n\n int threads = 256;\n int blocks = batch_size * num_heads;\n int smem = head_dim * head_dim * sizeof(float);\n\n delta_rule_kernel<<<blocks, threads, smem>>>(\n q.data_ptr<float>(),\n k.data_ptr<float>(),\n v.data_ptr<float>(),\n gate.data_ptr<float>(),\n beta.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, num_heads, head_dim\n );\n\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor delta_rule_cuda(torch::Tensor q, torch::Tensor k, torch::Tensor v, torch::Tensor gate, torch::Tensor beta);\n\"\"\"\n\nmodule = load_inline(\n name='delta_rule',\n cpp_sources=[cpp_source],\n cuda_sources=[cuda_source],\n functions=['delta_rule_cuda'],\n verbose=True,\n extra_cuda_cflags=['-O3']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.module = module\n\n def forward(self, q, k, v, gate, beta):\n return self.module.delta_rule_cuda(q, k, v, gate, beta)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 2150.3s turn · 10.7s LLM · 139.6s tools · tokens in=3,992 · out=913 · total=4,912
reasoning
Compiled successfully. Now check correctness.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void delta_rule_kernel(\n const float* __restrict__ q,\n const float* __restrict__ k,\n const float* __restrict__ v,\n const float* __restrict__ gate,\n const float* __restrict__ beta,\n float* __restrict__ output,\n int batch_size,\n int seq_len,\n int num_heads,\n int head_dim\n) {\n int bh = blockIdx.x;\n int b = bh / num_heads;\n int h = bh % num_heads;\n if (b >= batch_size) return;\n\n extern __shared__ float state[]; // head_dim * head_dim\n\n int D = head_dim;\n for (int i = threadIdx.x; i < D * D; i += blockDim.x) {\n state[i] = 0.0f;\n }\n __syncthreads();\n\n for (int t = 0; t < seq_len; t++) {\n float g = gate[(b * seq_len + t) * num_heads + h];\n float be = beta[(b * seq_len + t) * num_heads + h];\n\n // update state: state = g * state + be * outer(k, v)\n for (int i = threadIdx.x; i < D * D; i += blockDim.x) {\n int row = i / D;\n int col = i % D;\n float kv = k[((b * seq_len + t) * num_heads + h) * D + row] *\n v[((b * seq_len + t) * num_heads + h) * D + col];\n float old = state[i];\n state[i] = g * old + be * kv;\n }\n __syncthreads();\n\n // compute y = q @ state (sum over dim -2, i.e. q row vector * state)\n for (int j = threadIdx.x; j < D; j += blockDim.x) {\n float sum = 0.0f;\n for (int i = 0; i < D; i++) {\n float qval = q[((b * seq_len + t) * num_heads + h) * D + i];\n sum += qval * state[i * D + j];\n }\n output[((b * seq_len + t) * num_heads + h) * D + j] = sum;\n }\n __syncthreads();\n }\n}\n\ntorch::Tensor delta_rule_cuda(\n torch::Tensor q,\n torch::Tensor k,\n torch::Tensor v,\n torch::Tensor gate,\n torch::Tensor beta\n) {\n int batch_size = q.size(0);\n int seq_len = q.size(1);\n int num_heads = q.size(2);\n int head_dim = q.size(3);\n\n auto output = torch::zeros({batch_size, seq_len, num_heads, head_dim}, q.options());\n\n int threads = 256;\n int blocks = batch_size * num_heads;\n int smem = head_dim * head_dim * sizeof(float);\n\n delta_rule_kernel<<<blocks, threads, smem>>>(\n q.data_ptr<float>(),\n k.data_ptr<float>(),\n v.data_ptr<float>(),\n gate.data_ptr<float>(),\n beta.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, num_heads, head_dim\n );\n\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor delta_rule_cuda(torch::Tensor q, torch::Tensor k, torch::Tensor v, torch::Tensor gate, torch::Tensor beta);\n\"\"\"\n\nmodule = load_inline(\n name='delta_rule',\n cpp_sources=[cpp_source],\n cuda_sources=[cuda_source],\n functions=['delta_rule_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.module = module\n\n def forward(self, q, k, v, gate, beta):\n return self.module.delta_rule_cuda(q, k, v, gate, beta)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=6.68e-06 mean_abs_err=2.12e-07 max_rel_err=1.53e-03
turn 3106.8s turn · 11.0s LLM · 95.7s tools · tokens in=4,972 · out=912 · total=5,933 · FINAL
reasoning
Correct! Now, to check speed, I should profile or just submit since it should be faster than the loop in PyTorch.
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 = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void delta_rule_kernel(\n const float* __restrict__ q,\n const float* __restrict__ k,\n const float* __restrict__ v,\n const float* __restrict__ gate,\n const float* __restrict__ beta,\n float* __restrict__ output,\n int batch_size,\n int seq_len,\n int num_heads,\n int head_dim\n) {\n int bh = blockIdx.x;\n int b = bh / num_heads;\n int h = bh % num_heads;\n if (b >= batch_size) return;\n\n extern __shared__ float state[]; // head_dim * head_dim\n\n int D = head_dim;\n for (int i = threadIdx.x; i < D * D; i += blockDim.x) {\n state[i] = 0.0f;\n }\n __syncthreads();\n\n for (int t = 0; t < seq_len; t++) {\n float g = gate[(b * seq_len + t) * num_heads + h];\n float be = beta[(b * seq_len + t) * num_heads + h];\n\n // update state: state = g * state + be * outer(k, v)\n for (int i = threadIdx.x; i < D * D; i += blockDim.x) {\n int row = i / D;\n int col = i % D;\n float kv = k[((b * seq_len + t) * num_heads + h) * D + row] *\n v[((b * seq_len + t) * num_heads + h) * D + col];\n float old = state[i];\n state[i] = g * old + be * kv;\n }\n __syncthreads();\n\n // compute y = q @ state (sum over dim -2, i.e. q row vector * state)\n for (int j = threadIdx.x; j < D; j += blockDim.x) {\n float sum = 0.0f;\n for (int i = 0; i < D; i++) {\n float qval = q[((b * seq_len + t) * num_heads + h) * D + i];\n sum += qval * state[i * D + j];\n }\n output[((b * seq_len + t) * num_heads + h) * D + j] = sum;\n }\n __syncthreads();\n }\n}\n\ntorch::Tensor delta_rule_cuda(\n torch::Tensor q,\n torch::Tensor k,\n torch::Tensor v,\n torch::Tensor gate,\n torch::Tensor beta\n) {\n int batch_size = q.size(0);\n int seq_len = q.size(1);\n int num_heads = q.size(2);\n int head_dim = q.size(3);\n\n auto output = torch::zeros({batch_size, seq_len, num_heads, head_dim}, q.options());\n\n int threads = 256;\n int blocks = batch_size * num_heads;\n int smem = head_dim * head_dim * sizeof(float);\n\n delta_rule_kernel<<<blocks, threads, smem>>>(\n q.data_ptr<float>(),\n k.data_ptr<float>(),\n v.data_ptr<float>(),\n gate.data_ptr<float>(),\n beta.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, num_heads, head_dim\n );\n\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor delta_rule_cuda(torch::Tensor q, torch::Tensor k, torch::Tensor v, torch::Tensor gate, torch::Tensor beta);\n\"\"\"\n\nmodule = load_inline(\n name='delta_rule',\n cpp_sources=[cpp_source],\n cuda_sources=[cuda_source],\n functions=['delta_rule_cuda'],\n verbose=False,\n extra_cuda_cflags=['-O3']\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.module = module\n\n def forward(self, q, k, v, gate, beta):\n return self.module.delta_rule_cuda(q, k, v, gate, beta)\n" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (3 / 3) correctness trials all passed. Kernel runtime: 0.26 μs Runtime stats: mean=0.26μs median=?μs std=0.00μs Numerical precision: max_abs_err=6.68e-06 mean_abs_err=2.12e-07 max_rel_err=1.53e-03 Memory: 33.38 MB peak (ref: 33.54 MB, ratio: 0.9952x) Kernel launches: 4 (ref: 3975, fusion ratio: 993.75) SOL score: 0.0008 Flagged for excessive speedup — this submission may have been rejected by automated review.
final submitted kernel (115 lines, 3,220 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

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

__global__ void delta_rule_kernel(
    const float* __restrict__ q,
    const float* __restrict__ k,
    const float* __restrict__ v,
    const float* __restrict__ gate,
    const float* __restrict__ beta,
    float* __restrict__ output,
    int batch_size,
    int seq_len,
    int num_heads,
    int head_dim
) {
    int bh = blockIdx.x;
    int b = bh / num_heads;
    int h = bh % num_heads;
    if (b >= batch_size) return;

    extern __shared__ float state[];  // head_dim * head_dim

    int D = head_dim;
    for (int i = threadIdx.x; i < D * D; i += blockDim.x) {
        state[i] = 0.0f;
    }
    __syncthreads();

    for (int t = 0; t < seq_len; t++) {
        float g = gate[(b * seq_len + t) * num_heads + h];
        float be = beta[(b * seq_len + t) * num_heads + h];

        // update state: state = g * state + be * outer(k, v)
        for (int i = threadIdx.x; i < D * D; i += blockDim.x) {
            int row = i / D;
            int col = i % D;
            float kv = k[((b * seq_len + t) * num_heads + h) * D + row] *
                       v[((b * seq_len + t) * num_heads + h) * D + col];
            float old = state[i];
            state[i] = g * old + be * kv;
        }
        __syncthreads();

        // compute y = q @ state  (sum over dim -2, i.e. q row vector * state)
        for (int j = threadIdx.x; j < D; j += blockDim.x) {
            float sum = 0.0f;
            for (int i = 0; i < D; i++) {
                float qval = q[((b * seq_len + t) * num_heads + h) * D + i];
                sum += qval * state[i * D + j];
            }
            output[((b * seq_len + t) * num_heads + h) * D + j] = sum;
        }
        __syncthreads();
    }
}

torch::Tensor delta_rule_cuda(
    torch::Tensor q,
    torch::Tensor k,
    torch::Tensor v,
    torch::Tensor gate,
    torch::Tensor beta
) {
    int batch_size = q.size(0);
    int seq_len = q.size(1);
    int num_heads = q.size(2);
    int head_dim = q.size(3);

    auto output = torch::zeros({batch_size, seq_len, num_heads, head_dim}, q.options());

    int threads = 256;
    int blocks = batch_size * num_heads;
    int smem = head_dim * head_dim * sizeof(float);

    delta_rule_kernel<<<blocks, threads, smem>>>(
        q.data_ptr<float>(),
        k.data_ptr<float>(),
        v.data_ptr<float>(),
        gate.data_ptr<float>(),
        beta.data_ptr<float>(),
        output.data_ptr<float>(),
        batch_size, seq_len, num_heads, head_dim
    );

    return output;
}
"""

cpp_source = """
torch::Tensor delta_rule_cuda(torch::Tensor q, torch::Tensor k, torch::Tensor v, torch::Tensor gate, torch::Tensor beta);
"""

module = load_inline(
    name='delta_rule',
    cpp_sources=[cpp_source],
    cuda_sources=[cuda_source],
    functions=['delta_rule_cuda'],
    verbose=False,
    extra_cuda_cflags=['-O3']
)

class ModelNew(nn.Module):
    def __init__(self):
        super().__init__()
        self.module = module

    def forward(self, q, k, v, gate, beta):
        return self.module.delta_rule_cuda(q, k, v, gate, beta)