grok-4.3 · popcorn · pop_l123_all_gpt
correct 1_DeepSeekMLALoRAExpansion.py
model
grok-4.3
turns / max
10 / 15
tool calls
10
tokens (total)
83313
wall clock
1905.1s
truncated
no
backend
cuda fp32
variant
popcorn
runtime
0.07 μs
ref runtime
0.04 μs
speedup
0.52x
started
2026-05-11T20:43:23Z
timingkernelbench.timing
kernel runtime
0.07 μs
ref runtime
0.04 μs
speedup
0.52x
kernel mean / median / std
0.07 / — / 5.38e-04 μs
ref mean / median / std
0.04 / — / 3.75e-04 μs
numerical precisioneval_kernel_against_ref
max abs error
1.22e-04
mean abs error
1.48e-05
max rel error
0.07
mean rel error
1.38e-06
gpu memoryextended_metrics.measure_memory
kernel peak
33.84 MB
ref peak
34.29 MB
kernel / ref
0.99x
kernel launches / fusiontorch.profiler
kernel launches
1
ref launches
13
fusion ratio (ref / kernel)
13.00x
total cuda time
23 μs
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.002
dram util %
0.2%
compute util %
0.0%
bottleneck
unknown
dominant pipe
None
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
7.73 GB/s
dram util %
0.2%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
30.2%
bottleneck
unknown
dominant pipe %
—
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
83.9%
ld sectors / req
2.55
st sectors / req
—
regs / thread
32
smem / block
1280 B
block size
256
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
4138.1%
short_scoreboard
222.2%
mio_throttle
19.5%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn


class Model(nn.Module):
    """
    Low-rank expansion of compressed KV activations into multi-head K/V tensors.

    This isolates the MLA-style compressed-cache pattern: a hidden activation is
    projected into a low-rank latent space and then expanded back into separate
    key and value tensors.
    """

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

    def forward(
        self,
        hidden: torch.Tensor,
        w_down: torch.Tensor,
        w_up_k: torch.Tensor,
        w_up_v: torch.Tensor,
    ) -> torch.Tensor:
        batch_size, seq_len, model_dim = hidden.shape
        rank = w_down.shape[1]
        kv_heads = 4
        head_dim = w_up_k.shape[1] // kv_heads

        latent = hidden.reshape(batch_size * seq_len, model_dim) @ w_down
        k = latent @ w_up_k
        v = latent @ w_up_v
        k = k.view(batch_size, seq_len, kv_heads, head_dim)
        v = v.view(batch_size, seq_len, kv_heads, head_dim)
        return torch.stack((k, v), dim=2)


batch_size = 4
seq_len = 96
model_dim = 256
rank = 48
kv_heads = 4
head_dim = 32


def get_inputs():
    p = popcorn_pri
    hidden = torch.randn(p.jitter_int(batch_size), p.jitter_int(seq_len), p.jitter_int(model_dim, align=8), dtype=torch.float32)
    w_down = torch.randn(p.jitter_int(model_dim, align=8), rank, dtype=torch.float32)
    w_up_k = torch.randn(rank, p.jitter_int(kv_heads) * p.jitter_int(head_dim, align=8), dtype=torch.float32)
    w_up_v = torch.randn(rank, p.jitter_int(kv_heads) * p.jitter_int(head_dim, align=8), dtype=torch.float32)
    return [hidden, w_down, w_up_k, w_up_v]


def get_init_inputs():
    return []
turn 0193.2s turn · 9.1s LLM · 184.1s tools · tokens in=2,154 · out=6 · total=2,810
reasoning
The task is to replace the forward computation of this PyTorch model with a custom CUDA kernel. The model does a low-rank expansion for compressed KV activations. The task involves replacing the forward computation of a PyTorch model with a custom CUDA kernel. The model performs a low-rank expansion for compressed KV activations.
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 1170.8s turn · 12.3s LLM · 158.4s tools · tokens in=3,043 · out=975 · total=4,138
reasoning
H100, high bandwidth, tensor cores etc. But for FP32, we use regular.
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_runtime.h>\n\n__global__ void mla_kernel(\n const float* __restrict__ hidden,\n const float* __restrict__ w_down,\n const float* __restrict__ w_up_k,\n const float* __restrict__ w_up_v,\n float* __restrict__ output,\n int batch_size, int seq_len, int model_dim, int rank, int kv_heads, int head_dim\n) {\n int total_tokens = batch_size * seq_len;\n int out_dim = kv_heads * head_dim;\n int b = blockIdx.x;\n int s = blockIdx.y;\n int token = b * seq_len + s;\n if (token >= total_tokens) return;\n\n extern __shared__ float smem[];\n float* latent = smem; // rank floats\n\n // Compute latent = hidden[token] @ w_down\n for (int r = threadIdx.x; r < rank; r += blockDim.x) {\n float sum = 0.0f;\n for (int d = 0; d < model_dim; d++) {\n sum += hidden[token * model_dim + d] * w_down[d * rank + r];\n }\n latent[r] = sum;\n }\n __syncthreads();\n\n // Now compute k and v, and write to output\n // output shape: (batch, seq, 2, kv_heads, head_dim)\n // for k: output[b, s, 0, h, d]\n for (int idx = threadIdx.x; idx < out_dim; idx += blockDim.x) {\n float sum_k = 0.0f;\n float sum_v = 0.0f;\n for (int r = 0; r < rank; r++) {\n float l = latent[r];\n sum_k += l * w_up_k[r * out_dim + idx];\n sum_v += l * w_up_v[r * out_dim + idx];\n }\n int h = idx / head_dim;\n int d = idx % head_dim;\n // k\n output[((b * seq_len + s) * 2 * kv_heads * head_dim) + (0 * kv_heads * head_dim) + (h * head_dim + d)] = sum_k;\n // v\n output[((b * seq_len + s) * 2 * kv_heads * head_dim) + (1 * kv_heads * head_dim) + (h * head_dim + d)] = sum_v;\n }\n}\n\ntorch::Tensor mla_forward(\n torch::Tensor hidden,\n torch::Tensor w_down,\n torch::Tensor w_up_k,\n torch::Tensor w_up_v\n) {\n int batch_size = hidden.size(0);\n int seq_len = hidden.size(1);\n int model_dim = hidden.size(2);\n int rank = w_down.size(1);\n int out_dim = w_up_k.size(1);\n int kv_heads = 4;\n int head_dim = out_dim / kv_heads;\n\n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(hidden.device());\n auto output = torch::empty({batch_size, seq_len, 2, kv_heads, head_dim}, options);\n\n dim3 grid(batch_size, seq_len);\n int threads = 128;\n int smem_size = rank * sizeof(float);\n mla_kernel<<<grid, threads, smem_size>>>(\n hidden.data_ptr<float>(),\n w_down.data_ptr<float>(),\n w_up_k.data_ptr<float>(),\n w_up_v.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, model_dim, rank, kv_heads, head_dim\n );\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor mla_forward(torch::Tensor hidden, torch::Tensor w_down, torch::Tensor w_up_k, torch::Tensor w_up_v);\n\"\"\"\n\nmodule = load_inline(\n name=\"mla_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"mla_forward\"],\n verbose=True,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.mla = module\n\n def forward(self, hidden, w_down, w_up_k, w_up_v):\n return self.mla.mla_forward(hidden, w_down, w_up_k, w_up_v)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 2244.7s turn · 8.1s LLM · 236.6s tools · tokens in=4,155 · out=953 · total=5,115
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_runtime.h>\n\n__global__ void mla_kernel(\n const float* __restrict__ hidden,\n const float* __restrict__ w_down,\n const float* __restrict__ w_up_k,\n const float* __restrict__ w_up_v,\n float* __restrict__ output,\n int batch_size, int seq_len, int model_dim, int rank, int kv_heads, int head_dim\n) {\n int total_tokens = batch_size * seq_len;\n int out_dim = kv_heads * head_dim;\n int b = blockIdx.x;\n int s = blockIdx.y;\n int token = b * seq_len + s;\n if (token >= total_tokens) return;\n\n extern __shared__ float smem[];\n float* latent = smem; // rank floats\n\n // Compute latent = hidden[token] @ w_down\n for (int r = threadIdx.x; r < rank; r += blockDim.x) {\n float sum = 0.0f;\n for (int d = 0; d < model_dim; d++) {\n sum += hidden[token * model_dim + d] * w_down[d * rank + r];\n }\n latent[r] = sum;\n }\n __syncthreads();\n\n // Now compute k and v, and write to output\n // output shape: (batch, seq, 2, kv_heads, head_dim)\n for (int idx = threadIdx.x; idx < out_dim; idx += blockDim.x) {\n float sum_k = 0.0f;\n float sum_v = 0.0f;\n for (int r = 0; r < rank; r++) {\n float l = latent[r];\n sum_k += l * w_up_k[r * out_dim + idx];\n sum_v += l * w_up_v[r * out_dim + idx];\n }\n int h = idx / head_dim;\n int d = idx % head_dim;\n // k\n output[(b * seq_len + s) * 2 * kv_heads * head_dim + (0 * kv_heads * head_dim + h * head_dim + d)] = sum_k;\n // v\n output[(b * seq_len + s) * 2 * kv_heads * head_dim + (1 * kv_heads * head_dim + h * head_dim + d)] = sum_v;\n }\n}\n\ntorch::Tensor mla_forward(\n torch::Tensor hidden,\n torch::Tensor w_down,\n torch::Tensor w_up_k,\n torch::Tensor w_up_v\n) {\n int batch_size = hidden.size(0);\n int seq_len = hidden.size(1);\n int model_dim = hidden.size(2);\n int rank = w_down.size(1);\n int out_dim = w_up_k.size(1);\n int kv_heads = 4;\n int head_dim = out_dim / kv_heads;\n\n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(hidden.device());\n auto output = torch::empty({batch_size, seq_len, 2, kv_heads, head_dim}, options);\n\n dim3 grid(batch_size, seq_len);\n int threads = 128;\n int smem_size = rank * sizeof(float);\n mla_kernel<<<grid, threads, smem_size>>>(\n hidden.data_ptr<float>(),\n w_down.data_ptr<float>(),\n w_up_k.data_ptr<float>(),\n w_up_v.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, model_dim, rank, kv_heads, head_dim\n );\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor mla_forward(torch::Tensor hidden, torch::Tensor w_down, torch::Tensor w_up_k, torch::Tensor w_up_v);\n\"\"\"\n\nmodule = load_inline(\n name=\"mla_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"mla_forward\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.mla = module\n\n def forward(self, hidden, w_down, w_up_k, w_up_v):\n return self.mla.mla_forward(hidden, w_down, w_up_k, w_up_v)\n" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (2 / 3) trials did not all match. correctness_issue: Output mismatch max_difference: ['0.000214'] avg_difference: ['0.000030']
turn 3154.3s turn · 30.5s LLM · 123.7s tools · tokens in=5,164 · out=892 · total=6,690
reasoning
There's a small numerical difference, max 0.000214, which is above 1e-4 atol? The tolerance is atol=rtol=1e-4, so 2e-4 is slightly over, probably floating point accumulation order. I noticed a small numerical difference of up to 0.000214, which exceeds the 1e-4 tolerance for both atol and rtol. This difference arises from floating-point accumulation in a different order compared to the reference implementation.
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_runtime.h>\n\n__global__ void mla_kernel(\n const float* __restrict__ hidden,\n const float* __restrict__ w_down,\n const float* __restrict__ w_up_k,\n const float* __restrict__ w_up_v,\n float* __restrict__ output,\n int batch_size, int seq_len, int model_dim, int rank, int kv_heads, int head_dim\n) {\n int total_tokens = batch_size * seq_len;\n int out_dim = kv_heads * head_dim;\n int b = blockIdx.x;\n int s = blockIdx.y;\n int token = b * seq_len + s;\n if (token >= total_tokens) return;\n\n extern __shared__ float smem[];\n float* latent = smem;\n\n for (int r = threadIdx.x; r < rank; r += blockDim.x) {\n float sum = 0.0f;\n for (int d = 0; d < model_dim; d++) {\n sum += hidden[token * model_dim + d] * w_down[d * rank + r];\n }\n latent[r] = sum;\n }\n __syncthreads();\n\n for (int idx = threadIdx.x; idx < out_dim; idx += blockDim.x) {\n float sum_k = 0.0f;\n float sum_v = 0.0f;\n for (int r = 0; r < rank; r++) {\n float l = latent[r];\n sum_k += l * w_up_k[r * out_dim + idx];\n sum_v += l * w_up_v[r * out_dim + idx];\n }\n int h = idx / head_dim;\n int dd = idx % head_dim;\n size_t base = ((size_t)b * seq_len + s) * 2 * kv_heads * head_dim;\n output[base + (0 * kv_heads * head_dim) + h * head_dim + dd] = sum_k;\n output[base + (1 * kv_heads * head_dim) + h * head_dim + dd] = sum_v;\n }\n}\n\ntorch::Tensor mla_forward(\n torch::Tensor hidden,\n torch::Tensor w_down,\n torch::Tensor w_up_k,\n torch::Tensor w_up_v\n) {\n int batch_size = hidden.size(0);\n int seq_len = hidden.size(1);\n int model_dim = hidden.size(2);\n int rank = w_down.size(1);\n int out_dim = w_up_k.size(1);\n int kv_heads = 4;\n int head_dim = out_dim / kv_heads;\n\n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(hidden.device());\n auto output = torch::empty({batch_size, seq_len, 2, kv_heads, head_dim}, options);\n\n dim3 grid(batch_size, seq_len);\n int threads = 256;\n int smem_size = rank * sizeof(float);\n mla_kernel<<<grid, threads, smem_size>>>(\n hidden.data_ptr<float>(),\n w_down.data_ptr<float>(),\n w_up_k.data_ptr<float>(),\n w_up_v.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, model_dim, rank, kv_heads, head_dim\n );\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor mla_forward(torch::Tensor hidden, torch::Tensor w_down, torch::Tensor w_up_k, torch::Tensor w_up_v);\n\"\"\"\n\nmodule = load_inline(\n name=\"mla_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"mla_forward\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.mla = module\n\n def forward(self, hidden, w_down, w_up_k, w_up_v):\n return self.mla.mla_forward(hidden, w_down, w_up_k, w_up_v)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 4 · 1 tool call(s) · 193.0s turn · 7.3s LLM · tokens in=6,707 · out=899 · total=7,611 · 7,066 chars (click to expand)
turn 4193.0s turn · 7.3s LLM · 185.7s tools · tokens in=6,707 · out=899 · total=7,611
reasoning
Now check correctness again.
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_runtime.h>\n\n__global__ void mla_kernel(\n const float* __restrict__ hidden,\n const float* __restrict__ w_down,\n const float* __restrict__ w_up_k,\n const float* __restrict__ w_up_v,\n float* __restrict__ output,\n int batch_size, int seq_len, int model_dim, int rank, int kv_heads, int head_dim\n) {\n int total_tokens = batch_size * seq_len;\n int out_dim = kv_heads * head_dim;\n int b = blockIdx.x;\n int s = blockIdx.y;\n int token = b * seq_len + s;\n if (token >= total_tokens) return;\n\n extern __shared__ float smem[];\n float* latent = smem;\n\n for (int r = threadIdx.x; r < rank; r += blockDim.x) {\n float sum = 0.0f;\n for (int d = 0; d < model_dim; d++) {\n sum += hidden[token * model_dim + d] * w_down[d * rank + r];\n }\n latent[r] = sum;\n }\n __syncthreads();\n\n for (int idx = threadIdx.x; idx < out_dim; idx += blockDim.x) {\n float sum_k = 0.0f;\n float sum_v = 0.0f;\n for (int r = 0; r < rank; r++) {\n float l = latent[r];\n sum_k += l * w_up_k[r * out_dim + idx];\n sum_v += l * w_up_v[r * out_dim + idx];\n }\n int h = idx / head_dim;\n int dd = idx % head_dim;\n size_t base = ((size_t)b * seq_len + s) * 2 * kv_heads * head_dim;\n output[base + (0 * kv_heads * head_dim) + h * head_dim + dd] = sum_k;\n output[base + (1 * kv_heads * head_dim) + h * head_dim + dd] = sum_v;\n }\n}\n\ntorch::Tensor mla_forward(\n torch::Tensor hidden,\n torch::Tensor hidden,\n torch::Tensor w_down,\n torch::Tensor w_up_k,\n torch::Tensor w_up_v\n) {\n int batch_size = hidden.size(0);\n int seq_len = hidden.size(1);\n int model_dim = hidden.size(2);\n int rank = w_down.size(1);\n int out_dim = w_up_k.size(1);\n int kv_heads = 4;\n int head_dim = out_dim / kv_heads;\n\n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(hidden.device());\n auto output = torch::empty({batch_size, seq_len, 2, kv_heads, head_dim}, options);\n\n dim3 grid(batch_size, seq_len);\n int threads = 256;\n int smem_size = rank * sizeof(float);\n mla_kernel<<<grid, threads, smem_size>>>(\n hidden.data_ptr<float>(),\n w_down.data_ptr<float>(),\n w_up_k.data_ptr<float>(),\n w_up_v.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, model_dim, rank, kv_heads, head_dim\n );\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor mla_forward(torch::Tensor hidden, torch::Tensor w_down, torch::Tensor w_up_k, torch::Tensor w_up_v);\n\"\"\"\n\nmodule = load_inline(\n name=\"mla_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"mla_forward\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.mla = module\n\n def forward(self, hidden, w_down, w_up_k, w_up_v):\n return self.mla.mla_forward(hidden, w_down, w_up_k, w_up_v)\n" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: kernel did not compile. Error building extension 'mla_cuda_v3': [1/3] /opt/conda/bin/x86_64-conda-linux-gnu-c++ -MMD -MF main.o.d -DTORCH_EXTENSION_NAME=mla_cuda_v3 -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/grok-4.3/level_2_problem_1_cache/k_db1c7ea3ba0f/mla_cuda/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=mla_cuda_v3 -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 -std=c++17 -c /scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/grok-4.3/level_2_problem_1_cache/k_db1c7ea3ba0f/mla_cuda/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=mla_cuda_v3 -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 -std=c++17 -c /scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/grok-4.3/level_2_problem_1_cache/k_db1c7ea3ba0f/mla_cuda/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/grok-4.3/level_2_problem_1_cache/k_db1c7ea3ba0f/mla_cuda/cuda.cu(53): error: duplicate parameter name torch::Tensor hidden, ^ 1 error detected in the compilation of "/scratch/abaner/KernelBench/runs/pop_l123_all_gpt/popcorn/grok-4.3/level_2_problem_1_cache/k_db1c7ea3ba0f/mla_cuda/cuda.cu". ninja: build stopped: subcommand failed.
turn 5242.8s turn · 7.3s LLM · 235.5s tools · tokens in=8,525 · out=892 · total=9,432
reasoning
Oops, I duplicated hidden in the function def by mistake. Let's fix.
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_runtime.h>\n\n__global__ void mla_kernel(\n const float* __restrict__ hidden,\n const float* __restrict__ w_down,\n const float* __restrict__ w_up_k,\n const float* __restrict__ w_up_v,\n float* __restrict__ output,\n int batch_size, int seq_len, int model_dim, int rank, int kv_heads, int head_dim\n) {\n int total_tokens = batch_size * seq_len;\n int out_dim = kv_heads * head_dim;\n int b = blockIdx.x;\n int s = blockIdx.y;\n int token = b * seq_len + s;\n if (token >= total_tokens) return;\n\n extern __shared__ float smem[];\n float* latent = smem;\n\n for (int r = threadIdx.x; r < rank; r += blockDim.x) {\n float sum = 0.0f;\n for (int d = 0; d < model_dim; d++) {\n sum += hidden[token * model_dim + d] * w_down[d * rank + r];\n }\n latent[r] = sum;\n }\n __syncthreads();\n\n for (int idx = threadIdx.x; idx < out_dim; idx += blockDim.x) {\n float sum_k = 0.0f;\n float sum_v = 0.0f;\n for (int r = 0; r < rank; r++) {\n float l = latent[r];\n sum_k += l * w_up_k[r * out_dim + idx];\n sum_v += l * w_up_v[r * out_dim + idx];\n }\n int h = idx / head_dim;\n int dd = idx % head_dim;\n size_t base = ((size_t)b * seq_len + s) * 2 * kv_heads * head_dim;\n output[base + (0 * kv_heads * head_dim) + h * head_dim + dd] = sum_k;\n output[base + (1 * kv_heads * head_dim) + h * head_dim + dd] = sum_v;\n }\n}\n\ntorch::Tensor mla_forward(\n torch::Tensor hidden,\n torch::Tensor w_down,\n torch::Tensor w_up_k,\n torch::Tensor w_up_v\n) {\n int batch_size = hidden.size(0);\n int seq_len = hidden.size(1);\n int model_dim = hidden.size(2);\n int rank = w_down.size(1);\n int out_dim = w_up_k.size(1);\n int kv_heads = 4;\n int head_dim = out_dim / kv_heads;\n\n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(hidden.device());\n auto output = torch::empty({batch_size, seq_len, 2, kv_heads, head_dim}, options);\n\n dim3 grid(batch_size, seq_len);\n int threads = 256;\n int smem_size = rank * sizeof(float);\n mla_kernel<<<grid, threads, smem_size>>>(\n hidden.data_ptr<float>(),\n w_down.data_ptr<float>(),\n w_up_k.data_ptr<float>(),\n w_up_v.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, model_dim, rank, kv_heads, head_dim\n );\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor mla_forward(torch::Tensor hidden, torch::Tensor w_down, torch::Tensor w_up_k, torch::Tensor w_up_v);\n\"\"\"\n\nmodule = load_inline(\n name=\"mla_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"mla_forward\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.mla = module\n\n def forward(self, hidden, w_down, w_up_k, w_up_v):\n return self.mla.mla_forward(hidden, w_down, w_up_k, w_up_v)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 6266.3s turn · 8.9s LLM · 257.4s tools · tokens in=9,449 · out=893 · total=10,346
reasoning
Now test 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_runtime.h>\n\n__global__ void mla_kernel(\n const float* __restrict__ hidden,\n const float* __restrict__ w_down,\n const float* __restrict__ w_up_k,\n const float* __restrict__ w_up_v,\n float* __restrict__ output,\n int batch_size, int seq_len, int model_dim, int rank, int kv_heads, int head_dim\n) {\n int total_tokens = batch_size * seq_len;\n int out_dim = kv_heads * head_dim;\n int b = blockIdx.x;\n int s = blockIdx.y;\n int token = b * seq_len + s;\n if (token >= total_tokens) return;\n\n extern __shared__ float smem[];\n float* latent = smem;\n\n for (int r = threadIdx.x; r < rank; r += blockDim.x) {\n float sum = 0.0f;\n for (int d = 0; d < model_dim; d++) {\n sum += hidden[token * model_dim + d] * w_down[d * rank + r];\n }\n latent[r] = sum;\n }\n __syncthreads();\n\n for (int idx = threadIdx.x; idx < out_dim; idx += blockDim.x) {\n float sum_k = 0.0f;\n float sum_v = 0.0f;\n for (int r = 0; r < rank; r++) {\n float l = latent[r];\n sum_k += l * w_up_k[r * out_dim + idx];\n sum_v += l * w_up_v[r * out_dim + idx];\n }\n int h = idx / head_dim;\n int dd = idx % head_dim;\n size_t base = ((size_t)b * seq_len + s) * 2 * kv_heads * head_dim;\n output[base + (0 * kv_heads * head_dim) + h * head_dim + dd] = sum_k;\n output[base + (1 * kv_heads * head_dim) + h * head_dim + dd] = sum_v;\n }\n}\n\ntorch::Tensor mla_forward(\n torch::Tensor hidden,\n torch::Tensor w_down,\n torch::Tensor w_up_k,\n torch::Tensor w_up_v\n) {\n int batch_size = hidden.size(0);\n int seq_len = hidden.size(1);\n int model_dim = hidden.size(2);\n int rank = w_down.size(1);\n int out_dim = w_up_k.size(1);\n int kv_heads = 4;\n int head_dim = out_dim / kv_heads;\n\n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(hidden.device());\n auto output = torch::empty({batch_size, seq_len, 2, kv_heads, head_dim}, options);\n\n dim3 grid(batch_size, seq_len);\n int threads = 256;\n int smem_size = rank * sizeof(float);\n mla_kernel<<<grid, threads, smem_size>>>(\n hidden.data_ptr<float>(),\n w_down.data_ptr<float>(),\n w_up_k.data_ptr<float>(),\n w_up_v.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, model_dim, rank, kv_heads, head_dim\n );\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor mla_forward(torch::Tensor hidden, torch::Tensor w_down, torch::Tensor w_up_k, torch::Tensor w_up_v);\n\"\"\"\n\nmodule = load_inline(\n name=\"mla_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"mla_forward\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.mla = module\n\n def forward(self, hidden, w_down, w_up_k, w_up_v):\n return self.mla.mla_forward(hidden, w_down, w_up_k, w_up_v)\n" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (2 / 3) trials did not all match. correctness_issue: Output mismatch max_difference: ['0.000214'] avg_difference: ['0.000030']
turn 7166.0s turn · 10.5s LLM · 155.5s tools · tokens in=10,395 · out=913 · total=11,421
reasoning
Still same diff. Probably acceptable in practice but not for the check. To make it pass, I can use the reference for computation? No, forbidden.
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_runtime.h>\n\n__global__ void mla_kernel(\n const float* __restrict__ hidden,\n const float* __restrict__ w_down,\n const float* __restrict__ w_up_k,\n const float* __restrict__ w_up_v,\n float* __restrict__ output,\n int batch_size, int seq_len, int model_dim, int rank, int kv_heads, int head_dim\n) {\n int total_tokens = batch_size * seq_len;\n int out_dim = kv_heads * head_dim;\n int b = blockIdx.x;\n int s = blockIdx.y;\n int token = b * seq_len + s;\n if (token >= total_tokens) return;\n\n extern __shared__ float smem[];\n float* latent = smem;\n\n for (int r = threadIdx.x; r < rank; r += blockDim.x) {\n double sum = 0.0;\n for (int d = 0; d < model_dim; d++) {\n sum += (double)hidden[token * model_dim + d] * (double)w_down[d * rank + r];\n }\n latent[r] = (float)sum;\n }\n __syncthreads();\n\n for (int idx = threadIdx.x; idx < out_dim; idx += blockDim.x) {\n double sum_k = 0.0;\n double sum_v = 0.0;\n for (int r = 0; r < rank; r++) {\n double l = (double)latent[r];\n sum_k += l * (double)w_up_k[r * out_dim + idx];\n sum_v += l * (double)w_up_v[r * out_dim + idx];\n }\n int h = idx / head_dim;\n int dd = idx % head_dim;\n size_t base = ((size_t)b * seq_len + s) * 2 * kv_heads * head_dim;\n output[base + (0 * kv_heads * head_dim) + h * head_dim + dd] = (float)sum_k;\n output[base + (1 * kv_heads * head_dim) + h * head_dim + dd] = (float)sum_v;\n }\n}\n\ntorch::Tensor mla_forward(\n torch::Tensor hidden,\n torch::Tensor w_down,\n torch::Tensor w_up_k,\n torch::Tensor w_up_v\n) {\n int batch_size = hidden.size(0);\n int seq_len = hidden.size(1);\n int model_dim = hidden.size(2);\n int rank = w_down.size(1);\n int out_dim = w_up_k.size(1);\n int kv_heads = 4;\n int head_dim = out_dim / kv_heads;\n\n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(hidden.device());\n auto output = torch::empty({batch_size, seq_len, 2, kv_heads, head_dim}, options);\n\n dim3 grid(batch_size, seq_len);\n int threads = 256;\n int smem_size = rank * sizeof(float);\n mla_kernel<<<grid, threads, smem_size>>>(\n hidden.data_ptr<float>(),\n w_down.data_ptr<float>(),\n w_up_k.data_ptr<float>(),\n w_up_v.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, model_dim, rank, kv_heads, head_dim\n );\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor mla_forward(torch::Tensor hidden, torch::Tensor w_down, torch::Tensor w_up_k, torch::Tensor w_up_v);\n\"\"\"\n\nmodule = load_inline(\n name=\"mla_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"mla_forward\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.mla = module\n\n def forward(self, hidden, w_down, w_up_k, w_up_v):\n return self.mla.mla_forward(hidden, w_down, w_up_k, w_up_v)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 8108.6s turn · 8.5s LLM · 100.1s tools · tokens in=11,438 · out=914 · total=12,354
reasoning
Test.
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_runtime.h>\n\n__global__ void mla_kernel(\n const float* __restrict__ hidden,\n const float* __restrict__ w_down,\n const float* __restrict__ w_up_k,\n const float* __restrict__ w_up_v,\n float* __restrict__ output,\n int batch_size, int seq_len, int model_dim, int rank, int kv_heads, int head_dim\n) {\n int total_tokens = batch_size * seq_len;\n int out_dim = kv_heads * head_dim;\n int b = blockIdx.x;\n int s = blockIdx.y;\n int token = b * seq_len + s;\n if (token >= total_tokens) return;\n\n extern __shared__ float smem[];\n float* latent = smem;\n\n for (int r = threadIdx.x; r < rank; r += blockDim.x) {\n double sum = 0.0;\n for (int d = 0; d < model_dim; d++) {\n sum += (double)hidden[token * model_dim + d] * (double)w_down[d * rank + r];\n }\n latent[r] = (float)sum;\n }\n __syncthreads();\n\n for (int idx = threadIdx.x; idx < out_dim; idx += blockDim.x) {\n double sum_k = 0.0;\n double sum_v = 0.0;\n for (int r = 0; r < rank; r++) {\n double l = (double)latent[r];\n sum_k += l * (double)w_up_k[r * out_dim + idx];\n sum_v += l * (double)w_up_v[r * out_dim + idx];\n }\n int h = idx / head_dim;\n int dd = idx % head_dim;\n size_t base = ((size_t)b * seq_len + s) * 2 * kv_heads * head_dim;\n output[base + (0 * kv_heads * head_dim) + h * head_dim + dd] = (float)sum_k;\n output[base + (1 * kv_heads * head_dim) + h * head_dim + dd] = (float)sum_v;\n }\n}\n\ntorch::Tensor mla_forward(\n torch::Tensor hidden,\n torch::Tensor w_down,\n torch::Tensor w_up_k,\n torch::Tensor w_up_v\n) {\n int batch_size = hidden.size(0);\n int seq_len = hidden.size(1);\n int model_dim = hidden.size(2);\n int rank = w_down.size(1);\n int out_dim = w_up_k.size(1);\n int kv_heads = 4;\n int head_dim = out_dim / kv_heads;\n\n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(hidden.device());\n auto output = torch::empty({batch_size, seq_len, 2, kv_heads, head_dim}, options);\n\n dim3 grid(batch_size, seq_len);\n int threads = 256;\n int smem_size = rank * sizeof(float);\n mla_kernel<<<grid, threads, smem_size>>>(\n hidden.data_ptr<float>(),\n w_down.data_ptr<float>(),\n w_up_k.data_ptr<float>(),\n w_up_v.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, model_dim, rank, kv_heads, head_dim\n );\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor mla_forward(torch::Tensor hidden, torch::Tensor w_down, torch::Tensor w_up_k, torch::Tensor w_up_v);\n\"\"\"\n\nmodule = load_inline(\n name=\"mla_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"mla_forward\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.mla = module\n\n def forward(self, hidden, w_down, w_up_k, w_up_v):\n return self.mla.mla_forward(hidden, w_down, w_up_k, w_up_v)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=1.22e-04 mean_abs_err=1.48e-05 max_rel_err=6.94e-02
turn 9165.4s turn · 9.1s LLM · 156.3s tools · tokens in=12,414 · out=913 · total=13,396 · FINAL
reasoning
Good, now it passes (barely, max 1.22e-4).
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_runtime.h>\n\n__global__ void mla_kernel(\n const float* __restrict__ hidden,\n const float* __restrict__ w_down,\n const float* __restrict__ w_up_k,\n const float* __restrict__ w_up_v,\n float* __restrict__ output,\n int batch_size, int seq_len, int model_dim, int rank, int kv_heads, int head_dim\n) {\n int total_tokens = batch_size * seq_len;\n int out_dim = kv_heads * head_dim;\n int b = blockIdx.x;\n int s = blockIdx.y;\n int token = b * seq_len + s;\n if (token >= total_tokens) return;\n\n extern __shared__ float smem[];\n float* latent = smem;\n\n for (int r = threadIdx.x; r < rank; r += blockDim.x) {\n double sum = 0.0;\n for (int d = 0; d < model_dim; d++) {\n sum += (double)hidden[token * model_dim + d] * (double)w_down[d * rank + r];\n }\n latent[r] = (float)sum;\n }\n __syncthreads();\n\n for (int idx = threadIdx.x; idx < out_dim; idx += blockDim.x) {\n double sum_k = 0.0;\n double sum_v = 0.0;\n for (int r = 0; r < rank; r++) {\n double l = (double)latent[r];\n sum_k += l * (double)w_up_k[r * out_dim + idx];\n sum_v += l * (double)w_up_v[r * out_dim + idx];\n }\n int h = idx / head_dim;\n int dd = idx % head_dim;\n size_t base = ((size_t)b * seq_len + s) * 2 * kv_heads * head_dim;\n output[base + (0 * kv_heads * head_dim) + h * head_dim + dd] = (float)sum_k;\n output[base + (1 * kv_heads * head_dim) + h * head_dim + dd] = (float)sum_v;\n }\n}\n\ntorch::Tensor mla_forward(\n torch::Tensor hidden,\n torch::Tensor w_down,\n torch::Tensor w_up_k,\n torch::Tensor w_up_v\n) {\n int batch_size = hidden.size(0);\n int seq_len = hidden.size(1);\n int model_dim = hidden.size(2);\n int rank = w_down.size(1);\n int out_dim = w_up_k.size(1);\n int kv_heads = 4;\n int head_dim = out_dim / kv_heads;\n\n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(hidden.device());\n auto output = torch::empty({batch_size, seq_len, 2, kv_heads, head_dim}, options);\n\n dim3 grid(batch_size, seq_len);\n int threads = 256;\n int smem_size = rank * sizeof(float);\n mla_kernel<<<grid, threads, smem_size>>>(\n hidden.data_ptr<float>(),\n w_down.data_ptr<float>(),\n w_up_k.data_ptr<float>(),\n w_up_v.data_ptr<float>(),\n output.data_ptr<float>(),\n batch_size, seq_len, model_dim, rank, kv_heads, head_dim\n );\n return output;\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor mla_forward(torch::Tensor hidden, torch::Tensor w_down, torch::Tensor w_up_k, torch::Tensor w_up_v);\n\"\"\"\n\nmodule = load_inline(\n name=\"mla_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"mla_forward\"],\n verbose=False,\n extra_cuda_cflags=[\"-O3\"]\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.mla = module\n\n def forward(self, hidden, w_down, w_up_k, w_up_v):\n return self.mla.mla_forward(hidden, w_down, w_up_k, w_up_v)\n" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (3 / 3) correctness trials all passed. Kernel runtime: 0.07 μs Runtime stats: mean=0.07μs median=?μs std=0.00μs Numerical precision: max_abs_err=1.22e-04 mean_abs_err=1.48e-05 max_rel_err=6.94e-02 Memory: 33.84 MB peak (ref: 34.29 MB, ratio: 0.987x) Kernel launches: 1 (ref: 13, fusion ratio: 13.0) SOL score: 0.0023
final submitted kernel (104 lines, 3,185 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_runtime.h>

__global__ void mla_kernel(
    const float* __restrict__ hidden,
    const float* __restrict__ w_down,
    const float* __restrict__ w_up_k,
    const float* __restrict__ w_up_v,
    float* __restrict__ output,
    int batch_size, int seq_len, int model_dim, int rank, int kv_heads, int head_dim
) {
    int total_tokens = batch_size * seq_len;
    int out_dim = kv_heads * head_dim;
    int b = blockIdx.x;
    int s = blockIdx.y;
    int token = b * seq_len + s;
    if (token >= total_tokens) return;

    extern __shared__ float smem[];
    float* latent = smem;

    for (int r = threadIdx.x; r < rank; r += blockDim.x) {
        double sum = 0.0;
        for (int d = 0; d < model_dim; d++) {
            sum += (double)hidden[token * model_dim + d] * (double)w_down[d * rank + r];
        }
        latent[r] = (float)sum;
    }
    __syncthreads();

    for (int idx = threadIdx.x; idx < out_dim; idx += blockDim.x) {
        double sum_k = 0.0;
        double sum_v = 0.0;
        for (int r = 0; r < rank; r++) {
            double l = (double)latent[r];
            sum_k += l * (double)w_up_k[r * out_dim + idx];
            sum_v += l * (double)w_up_v[r * out_dim + idx];
        }
        int h = idx / head_dim;
        int dd = idx % head_dim;
        size_t base = ((size_t)b * seq_len + s) * 2 * kv_heads * head_dim;
        output[base + (0 * kv_heads * head_dim) + h * head_dim + dd] = (float)sum_k;
        output[base + (1 * kv_heads * head_dim) + h * head_dim + dd] = (float)sum_v;
    }
}

torch::Tensor mla_forward(
    torch::Tensor hidden,
    torch::Tensor w_down,
    torch::Tensor w_up_k,
    torch::Tensor w_up_v
) {
    int batch_size = hidden.size(0);
    int seq_len = hidden.size(1);
    int model_dim = hidden.size(2);
    int rank = w_down.size(1);
    int out_dim = w_up_k.size(1);
    int kv_heads = 4;
    int head_dim = out_dim / kv_heads;

    auto options = torch::TensorOptions().dtype(torch::kFloat32).device(hidden.device());
    auto output = torch::empty({batch_size, seq_len, 2, kv_heads, head_dim}, options);

    dim3 grid(batch_size, seq_len);
    int threads = 256;
    int smem_size = rank * sizeof(float);
    mla_kernel<<<grid, threads, smem_size>>>(
        hidden.data_ptr<float>(),
        w_down.data_ptr<float>(),
        w_up_k.data_ptr<float>(),
        w_up_v.data_ptr<float>(),
        output.data_ptr<float>(),
        batch_size, seq_len, model_dim, rank, kv_heads, head_dim
    );
    return output;
}
"""

cpp_source = """
torch::Tensor mla_forward(torch::Tensor hidden, torch::Tensor w_down, torch::Tensor w_up_k, torch::Tensor w_up_v);
"""

module = load_inline(
    name="mla_cuda",
    cpp_sources=cpp_source,
    cuda_sources=cuda_source,
    functions=["mla_forward"],
    verbose=False,
    extra_cuda_cflags=["-O3"]
)

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

    def forward(self, hidden, w_down, w_up_k, w_up_v):
        return self.mla.mla_forward(hidden, w_down, w_up_k, w_up_v)