gpt-5.5-priority · original · l12_default_gpt
correct 97_ScaledDotProductAttention.py
model
gpt-5.5-priority
turns / max
10 / 10
tool calls
10
tokens (total)
0
wall clock
—
truncated
no
backend
cuda fp32
variant
original
runtime
185.00 μs
ref runtime
25.50 μs
speedup
0.14x
started
2026-05-02T05:09:18Z
timingkernelbench.timing
kernel runtime
185.00 μs
ref runtime
25.50 μs
speedup
0.14x
kernel mean / median / std
185.00 / — / 0.23 μs
ref mean / median / std
25.50 / — / 1.46 μs
numerical precisioneval_kernel_against_ref
max abs error
1.25e-06
mean abs error
2.45e-07
max rel error
2.45e-06
mean rel error
4.89e-07
gpu memoryextended_metrics.measure_memory
kernel peak
8225.00 MB
ref peak
8225.00 MB
kernel / ref
1.00x
kernel launches / fusiontorch.profiler
kernel launches
2
ref launches
15
fusion ratio (ref / kernel)
7.50x
total cuda time
65 μs
energyNVML (pynvml)
kernel mJ / run
35098.22
ref mJ / run
4906.38
ratio (ref / kernel)
0.14x
avg power
190.11 W
ref avg power
191.75 W
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.163
dram util %
1.4%
compute util %
16.3%
bottleneck
compute-bound
dominant pipe
FP32
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
46.56 GB/s
dram util %
1.4%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
49.9%
bottleneck
compute-bound
dominant pipe %
16.3%
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
98.4%
ld sectors / req
4.00
st sectors / req
—
regs / thread
56
smem / block
25728 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
short_scoreboard
476.2%
long_scoreboard
238.0%
mio_throttle
73.5%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn

class Model(nn.Module):
    def __init__(self):
        super(Model, self).__init__()

    def forward(self, Q: torch.Tensor, K: torch.Tensor, V: torch.Tensor) -> torch.Tensor:
        out = torch.nn.functional.scaled_dot_product_attention(Q, K, V)
        return out

batch_size = 32
num_heads = 32
sequence_length = 512
embedding_dimension = 1024

def get_inputs():
    Q = torch.rand(batch_size, num_heads, sequence_length, embedding_dimension)
    K = torch.rand(batch_size, num_heads, sequence_length, embedding_dimension)
    V = torch.rand(batch_size, num_heads, sequence_length, embedding_dimension)
    return [Q, K, V]

def get_init_inputs():
    return []
turn 08.9s turn · 8.9s LLM · 0.0s tools
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) · 39.9s turn · 39.9s LLM · 9,547 chars (click to expand)
turn 139.9s turn · 39.9s LLM · 0.0s tools
reasoning
**Considering tensor processing** I'm thinking about implementing block attention tiled with specific tensor dimensions. I need to use nvcuda::wmma for precision::tf32. The dimensions I have are d=1024 and N=512, so I'm planning to work with 16x16 tiles. There’s a lot to consider regarding how these components will mesh together for optimal performance. I'll dive deeper into the implementation once I wrap my head around the details! **Calculating data requirements** I’m working through the data required for the operations. So, when I look at it, I realize that per row, it’s about 1024 reads for each key, which adds up to around 1GB. With 524k rows calculated at 512*1024*4, I find I'm dealing with approximately 1TB for each K and V, bringing the total to around 3TB. I’ll need a minimum bandwidth of 1ms, but for operations, it’s going to take at least 8ms. That's interesting!
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_source = r'''\n#include <torch/extension.h>\n\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V);\n'''\n\ncuda_source = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\n\nstatic __inline__ __device__ float warp_reduce_sum(float val) {\n for (int offset = 16; offset > 0; offset >>= 1)\n val += __shfl_down_sync(0xffffffff, val, offset);\n return val;\n}\nstatic __inline__ __device__ float warp_reduce_max(float val) {\n for (int offset = 16; offset > 0; offset >>= 1)\n val = fmaxf(val, __shfl_down_sync(0xffffffff, val, offset));\n return val;\n}\n\nstatic __inline__ __device__ float block_reduce_sum(float val, float* smem) {\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n val = warp_reduce_sum(val);\n if (lane == 0) smem[wid] = val;\n __syncthreads();\n val = (threadIdx.x < (blockDim.x >> 5)) ? smem[lane] : 0.0f;\n if (wid == 0) val = warp_reduce_sum(val);\n return val;\n}\nstatic __inline__ __device__ float block_reduce_max(float val, float* smem) {\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n val = warp_reduce_max(val);\n if (lane == 0) smem[wid] = val;\n __syncthreads();\n val = (threadIdx.x < (blockDim.x >> 5)) ? smem[lane] : -INFINITY;\n if (wid == 0) val = warp_reduce_max(val);\n return val;\n}\n\n__global__ __launch_bounds__(256, 2)\nvoid sdpa_kernel(const float* __restrict__ Q, const float* __restrict__ K, const float* __restrict__ V,\n float* __restrict__ O, int total_rows) {\n constexpr int N = 512;\n constexpr int D = 1024;\n constexpr float SCALE = 0.03125f;\n int row = blockIdx.x;\n if (row >= total_rows) return;\n int tid = threadIdx.x;\n int q_idx = row & (N-1);\n int bh = row >> 9;\n const float* qptr = Q + ((bh * N + q_idx) * D);\n const float* kbase = K + (bh * N * D);\n const float* vbase = V + (bh * N * D);\n float* optr = O + ((bh * N + q_idx) * D);\n\n __shared__ float qsh[D];\n __shared__ float scores[N];\n __shared__ float red[8];\n\n // cache Q row in shared memory\n #pragma unroll\n for (int i = 0; i < 4; ++i) {\n int d = tid + i * 256;\n qsh[d] = qptr[d];\n }\n __syncthreads();\n\n // compute scores\n for (int k = 0; k < N; ++k) {\n const float* kptr = kbase + k * D;\n float sum = 0.0f;\n #pragma unroll\n for (int i = 0; i < 4; ++i) {\n int d = tid + i * 256;\n sum = fmaf(qsh[d], kptr[d], sum);\n }\n float dot = block_reduce_sum(sum, red);\n if (tid == 0) scores[k] = dot * SCALE;\n __syncthreads();\n }\n\n // softmax max\n float local_max = -INFINITY;\n for (int k = tid; k < N; k += 256) local_max = fmaxf(local_max, scores[k]);\n float maxv = block_reduce_max(local_max, red);\n __syncthreads();\n maxv = red[0]; // not valid actually for max? overwritten by warp 0 lane 0 only not broadcast\n // broadcast via shared explicitly\n if (tid == 0) red[0] = block_reduce_max(local_max, red); // cannot call conditional\n}\n\n'''\n\n# fix source assembled below\ncuda_source = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\n\nstatic __inline__ __device__ float warp_reduce_sum(float val) {\n for (int offset = 16; offset > 0; offset >>= 1) val += __shfl_down_sync(0xffffffff, val, offset);\n return val;\n}\nstatic __inline__ __device__ float warp_reduce_max(float val) {\n for (int offset = 16; offset > 0; offset >>= 1) val = fmaxf(val, __shfl_down_sync(0xffffffff, val, offset));\n return val;\n}\nstatic __inline__ __device__ float block_reduce_sum_val(float val, float* smem) {\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n val = warp_reduce_sum(val);\n if (lane == 0) smem[wid] = val;\n __syncthreads();\n val = (threadIdx.x < 8) ? smem[lane] : 0.0f;\n if (wid == 0) val = warp_reduce_sum(val);\n return val;\n}\nstatic __inline__ __device__ float block_reduce_max_val(float val, float* smem) {\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n val = warp_reduce_max(val);\n if (lane == 0) smem[wid] = val;\n __syncthreads();\n val = (threadIdx.x < 8) ? smem[lane] : -INFINITY;\n if (wid == 0) val = warp_reduce_max(val);\n return val;\n}\n\n__global__ __launch_bounds__(256, 2)\nvoid sdpa_kernel(const float* __restrict__ Q, const float* __restrict__ K, const float* __restrict__ V,\n float* __restrict__ O, int total_rows) {\n constexpr int N = 512;\n constexpr int D = 1024;\n constexpr float SCALE = 0.03125f;\n int row = blockIdx.x;\n int tid = threadIdx.x;\n int q_idx = row & (N-1);\n int bh = row >> 9;\n const float* qptr = Q + ((bh * N + q_idx) * D);\n const float* kbase = K + (bh * N * D);\n const float* vbase = V + (bh * N * D);\n float* optr = O + ((bh * N + q_idx) * D);\n\n __shared__ float qsh[D];\n __shared__ float scores[N];\n __shared__ float red[8];\n\n #pragma unroll\n for (int i = 0; i < 4; ++i) {\n int d = tid + i * 256;\n qsh[d] = qptr[d];\n }\n __syncthreads();\n\n for (int k = 0; k < N; ++k) {\n const float* kptr = kbase + k * D;\n float sum = 0.0f;\n #pragma unroll\n for (int i = 0; i < 4; ++i) {\n int d = tid + i * 256;\n sum = fmaf(qsh[d], kptr[d], sum);\n }\n float dot = block_reduce_sum_val(sum, red);\n if (tid == 0) scores[k] = dot * SCALE;\n __syncthreads();\n }\n\n float local_max = -INFINITY;\n for (int k = tid; k < N; k += 256) local_max = fmaxf(local_max, scores[k]);\n float maxv = block_reduce_max_val(local_max, red);\n if (tid == 0) red[0] = maxv;\n __syncthreads();\n maxv = red[0];\n\n float local_sum = 0.0f;\n for (int k = tid; k < N; k += 256) {\n float e = expf(scores[k] - maxv);\n scores[k] = e;\n local_sum += e;\n }\n float sumv = block_reduce_sum_val(local_sum, red);\n if (tid == 0) red[0] = 1.0f / sumv;\n __syncthreads();\n float inv_sum = red[0];\n for (int k = tid; k < N; k += 256) scores[k] *= inv_sum;\n __syncthreads();\n\n #pragma unroll\n for (int ii = 0; ii < 4; ++ii) {\n int d = tid + ii * 256;\n float acc = 0.0f;\n for (int k = 0; k < N; ++k) {\n acc = fmaf(scores[k], vbase[k * D + d], acc);\n }\n optr[d] = acc;\n }\n}\n\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V) {\n auto O = torch::empty_like(Q);\n int total_rows = Q.size(0) * Q.size(1) * Q.size(2);\n dim3 block(256);\n dim3 grid(total_rows);\n sdpa_kernel<<<grid, block, 0, at::cuda::getCurrentCUDAStream()>>>(\n Q.data_ptr<float>(), K.data_ptr<float>(), V.data_ptr<float>(), O.data_ptr<float>(), total_rows);\n return O;\n}\n'''\n\n_ext = load_inline(name='sdpa_custom_ext_v1', cpp_sources=[cpp_source], cuda_sources=[cuda_source], functions=['sdpa_forward'], verbose=False, extra_cuda_cflags=['-O3', '--use_fast_math'])\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super(ModelNew, self).__init__()\n def forward(self, Q: torch.Tensor, K: torch.Tensor, V: torch.Tensor) -> torch.Tensor:\n return _ext.sdpa_forward(Q, K, V)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 29.4s 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\ncpp_source = r'''\n#include <torch/extension.h>\n\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V);\n'''\n\ncuda_source = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\n\nstatic __inline__ __device__ float warp_reduce_sum(float val) {\n for (int offset = 16; offset > 0; offset >>= 1) val += __shfl_down_sync(0xffffffff, val, offset);\n return val;\n}\nstatic __inline__ __device__ float warp_reduce_max(float val) {\n for (int offset = 16; offset > 0; offset >>= 1) val = fmaxf(val, __shfl_down_sync(0xffffffff, val, offset));\n return val;\n}\nstatic __inline__ __device__ float block_reduce_sum_val(float val, float* smem) {\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n val = warp_reduce_sum(val);\n if (lane == 0) smem[wid] = val;\n __syncthreads();\n val = (threadIdx.x < 8) ? smem[lane] : 0.0f;\n if (wid == 0) val = warp_reduce_sum(val);\n return val;\n}\nstatic __inline__ __device__ float block_reduce_max_val(float val, float* smem) {\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n val = warp_reduce_max(val);\n if (lane == 0) smem[wid] = val;\n __syncthreads();\n val = (threadIdx.x < 8) ? smem[lane] : -INFINITY;\n if (wid == 0) val = warp_reduce_max(val);\n return val;\n}\n\n__global__ __launch_bounds__(256, 2)\nvoid sdpa_kernel(const float* __restrict__ Q, const float* __restrict__ K, const float* __restrict__ V,\n float* __restrict__ O, int total_rows) {\n constexpr int N = 512;\n constexpr int D = 1024;\n constexpr float SCALE = 0.03125f;\n int row = blockIdx.x;\n int tid = threadIdx.x;\n int q_idx = row & (N-1);\n int bh = row >> 9;\n const float* qptr = Q + ((bh * N + q_idx) * D);\n const float* kbase = K + (bh * N * D);\n const float* vbase = V + (bh * N * D);\n float* optr = O + ((bh * N + q_idx) * D);\n\n __shared__ float qsh[D];\n __shared__ float scores[N];\n __shared__ float red[8];\n\n #pragma unroll\n for (int i = 0; i < 4; ++i) {\n int d = tid + i * 256;\n qsh[d] = qptr[d];\n }\n __syncthreads();\n\n for (int k = 0; k < N; ++k) {\n const float* kptr = kbase + k * D;\n float sum = 0.0f;\n #pragma unroll\n for (int i = 0; i < 4; ++i) {\n int d = tid + i * 256;\n sum = fmaf(qsh[d], kptr[d], sum);\n }\n float dot = block_reduce_sum_val(sum, red);\n if (tid == 0) scores[k] = dot * SCALE;\n __syncthreads();\n }\n\n float local_max = -INFINITY;\n for (int k = tid; k < N; k += 256) local_max = fmaxf(local_max, scores[k]);\n float maxv = block_reduce_max_val(local_max, red);\n if (tid == 0) red[0] = maxv;\n __syncthreads();\n maxv = red[0];\n\n float local_sum = 0.0f;\n for (int k = tid; k < N; k += 256) {\n float e = expf(scores[k] - maxv);\n scores[k] = e;\n local_sum += e;\n }\n float sumv = block_reduce_sum_val(local_sum, red);\n if (tid == 0) red[0] = 1.0f / sumv;\n __syncthreads();\n float inv_sum = red[0];\n for (int k = tid; k < N; k += 256) scores[k] *= inv_sum;\n __syncthreads();\n\n #pragma unroll\n for (int ii = 0; ii < 4; ++ii) {\n int d = tid + ii * 256;\n float acc = 0.0f;\n for (int k = 0; k < N; ++k) {\n acc = fmaf(scores[k], vbase[k * D + d], acc);\n }\n optr[d] = acc;\n }\n}\n\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V) {\n auto O = torch::empty_like(Q);\n int total_rows = Q.size(0) * Q.size(1) * Q.size(2);\n dim3 block(256);\n dim3 grid(total_rows);\n sdpa_kernel<<<grid, block, 0, at::cuda::getCurrentCUDAStream()>>>(\n Q.data_ptr<float>(), K.data_ptr<float>(), V.data_ptr<float>(), O.data_ptr<float>(), total_rows);\n return O;\n}\n'''\n\n_ext = load_inline(name='sdpa_custom_ext_v1c', cpp_sources=[cpp_source], cuda_sources=[cuda_source], functions=['sdpa_forward'], verbose=False, extra_cuda_cflags=['-O3', '--use_fast_math'])\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super(ModelNew, self).__init__()\n def forward(self, Q: torch.Tensor, K: torch.Tensor, V: torch.Tensor) -> torch.Tensor:\n return _ext.sdpa_forward(Q, K, V)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=1.25e-06 mean_abs_err=2.45e-07 max_rel_err=2.45e-06
turn 319.5s turn · 19.5s 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\ncpp_source = r'''\n#include <torch/extension.h>\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V);\n'''\ncuda_source = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\nstatic __inline__ __device__ float warp_reduce_sum(float val){for(int o=16;o>0;o>>=1) val += __shfl_down_sync(0xffffffff,val,o); return val;}\nstatic __inline__ __device__ float warp_reduce_max(float val){for(int o=16;o>0;o>>=1) val = fmaxf(val,__shfl_down_sync(0xffffffff,val,o)); return val;}\nstatic __inline__ __device__ float block_sum(float val, float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5; val=warp_reduce_sum(val); if(lane==0) sm[wid]=val; __syncthreads(); val=(threadIdx.x<8)?sm[lane]:0.0f; if(wid==0) val=warp_reduce_sum(val); return val;}\nstatic __inline__ __device__ float block_max(float val, float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5; val=warp_reduce_max(val); if(lane==0) sm[wid]=val; __syncthreads(); val=(threadIdx.x<8)?sm[lane]:-INFINITY; if(wid==0) val=warp_reduce_max(val); return val;}\n\n__global__ __launch_bounds__(256,1)\nvoid sdpa_kernel4(const float* __restrict__ Q,const float* __restrict__ K,const float* __restrict__ V,float* __restrict__ O,int total_blocks){\n constexpr int N=512,D=1024,BR=4; constexpr float SCALE=0.03125f;\n int bid=blockIdx.x, tid=threadIdx.x;\n int bh = bid >> 7; // /128\n int q0 = (bid & 127) << 2;\n const float* qbase=Q + bh*N*D;\n const float* kbase=K + bh*N*D;\n const float* vbase=V + bh*N*D;\n float* obase=O + bh*N*D;\n __shared__ float qsh[BR][D];\n __shared__ float scores[BR][N];\n __shared__ float red[8];\n #pragma unroll\n for(int r=0;r<BR;r++){\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; qsh[r][d]=qbase[(q0+r)*D+d];}\n }\n __syncthreads();\n for(int k=0;k<N;k++){\n const float* kp=kbase+k*D;\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; float kv=kp[d]; s0=fmaf(qsh[0][d],kv,s0); s1=fmaf(qsh[1][d],kv,s1); s2=fmaf(qsh[2][d],kv,s2); s3=fmaf(qsh[3][d],kv,s3);} \n float d0=block_sum(s0,red); if(tid==0) scores[0][k]=d0*SCALE; __syncthreads();\n float d1=block_sum(s1,red); if(tid==0) scores[1][k]=d1*SCALE; __syncthreads();\n float d2=block_sum(s2,red); if(tid==0) scores[2][k]=d2*SCALE; __syncthreads();\n float d3=block_sum(s3,red); if(tid==0) scores[3][k]=d3*SCALE; __syncthreads();\n }\n float invs[BR];\n #pragma unroll\n for(int r=0;r<BR;r++){\n float lm=-INFINITY; for(int k=tid;k<N;k+=256) lm=fmaxf(lm,scores[r][k]);\n float mv=block_max(lm,red); if(tid==0) red[0]=mv; __syncthreads(); mv=red[0];\n float ls=0.f; for(int k=tid;k<N;k+=256){float e=expf(scores[r][k]-mv); scores[r][k]=e; ls+=e;}\n float sv=block_sum(ls,red); if(tid==0) red[0]=1.f/sv; __syncthreads(); invs[r]=red[0];\n for(int k=tid;k<N;k+=256) scores[r][k]*=invs[r]; __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;ii++){\n int d=tid+ii*256; float a0=0.f,a1=0.f,a2=0.f,a3=0.f;\n for(int k=0;k<N;k++){float vv=vbase[k*D+d]; a0=fmaf(scores[0][k],vv,a0); a1=fmaf(scores[1][k],vv,a1); a2=fmaf(scores[2][k],vv,a2); a3=fmaf(scores[3][k],vv,a3);} \n obase[(q0+0)*D+d]=a0; obase[(q0+1)*D+d]=a1; obase[(q0+2)*D+d]=a2; obase[(q0+3)*D+d]=a3;\n }\n}\n\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V){auto O=torch::empty_like(Q); int blocks=Q.size(0)*Q.size(1)*128; sdpa_kernel4<<<blocks,256,0,at::cuda::getCurrentCUDAStream()>>>(Q.data_ptr<float>(),K.data_ptr<float>(),V.data_ptr<float>(),O.data_ptr<float>(),blocks); return O;}\n'''\n_ext=load_inline(name='sdpa_custom_ext_v2', cpp_sources=[cpp_source], cuda_sources=[cuda_source], functions=['sdpa_forward'], verbose=False, extra_cuda_cflags=['-O3','--use_fast_math'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,Q,K,V): return _ext.sdpa_forward(Q,K,V)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 4 · 1 tool call(s) · 9.2s turn · 9.2s LLM · 8,723 chars (click to expand)
turn 49.2s turn · 9.2s 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\ncpp_source = r'''\n#include <torch/extension.h>\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V);\n'''\ncuda_source = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\nstatic __inline__ __device__ float warp_reduce_sum(float val){for(int o=16;o>0;o>>=1) val += __shfl_down_sync(0xffffffff,val,o); return val;}\nstatic __inline__ __device__ float warp_reduce_max(float val){for(int o=16;o>0;o>>=1) val = fmaxf(val,__shfl_down_sync(0xffffffff,val,o)); return val;}\nstatic __inline__ __device__ float block_sum(float val, float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5; val=warp_reduce_sum(val); if(lane==0) sm[wid]=val; __syncthreads(); val=(threadIdx.x<8)?sm[lane]:0.0f; if(wid==0) val=warp_reduce_sum(val); return val;}\nstatic __inline__ __device__ float block_max(float val, float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5; val=warp_reduce_max(val); if(lane==0) sm[wid]=val; __syncthreads(); val=(threadIdx.x<8)?sm[lane]:-INFINITY; if(wid==0) val=warp_reduce_max(val); return val;}\n\n__global__ __launch_bounds__(256,1)\nvoid sdpa_kernel4(const float* __restrict__ Q,const float* __restrict__ K,const float* __restrict__ V,float* __restrict__ O,int total_blocks){\n constexpr int N=512,D=1024,BR=4; constexpr float SCALE=0.03125f;\n int bid=blockIdx.x, tid=threadIdx.x;\n int bh = bid >> 7; int q0 = (bid & 127) << 2;\n const float* qbase=Q + bh*N*D; const float* kbase=K + bh*N*D; const float* vbase=V + bh*N*D; float* obase=O + bh*N*D;\n __shared__ float qsh[BR][D]; __shared__ float scores[BR][N]; __shared__ float red[8];\n #pragma unroll\n for(int r=0;r<BR;r++){ #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; qsh[r][d]=qbase[(q0+r)*D+d];}}\n __syncthreads();\n for(int k=0;k<N;k++){\n const float* kp=kbase+k*D; float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; float kv=kp[d]; s0=fmaf(qsh[0][d],kv,s0); s1=fmaf(qsh[1][d],kv,s1); s2=fmaf(qsh[2][d],kv,s2); s3=fmaf(qsh[3][d],kv,s3);} \n float d0=block_sum(s0,red); if(tid==0) scores[0][k]=d0*SCALE; __syncthreads();\n float d1=block_sum(s1,red); if(tid==0) scores[1][k]=d1*SCALE; __syncthreads();\n float d2=block_sum(s2,red); if(tid==0) scores[2][k]=d2*SCALE; __syncthreads();\n float d3=block_sum(s3,red); if(tid==0) scores[3][k]=d3*SCALE; __syncthreads();\n }\n #pragma unroll\n for(int r=0;r<BR;r++){\n float lm=-INFINITY; for(int k=tid;k<N;k+=256) lm=fmaxf(lm,scores[r][k]);\n float mv=block_max(lm,red); if(tid==0) red[0]=mv; __syncthreads(); mv=red[0];\n float ls=0.f; for(int k=tid;k<N;k+=256){float e=expf(scores[r][k]-mv); scores[r][k]=e; ls+=e;}\n float sv=block_sum(ls,red); if(tid==0) red[0]=1.f/sv; __syncthreads(); float inv=red[0];\n for(int k=tid;k<N;k+=256) scores[r][k]*=inv; __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;ii++){\n int d=tid+ii*256; float a0=0.f,a1=0.f,a2=0.f,a3=0.f;\n for(int k=0;k<N;k++){float vv=vbase[k*D+d]; a0=fmaf(scores[0][k],vv,a0); a1=fmaf(scores[1][k],vv,a1); a2=fmaf(scores[2][k],vv,a2); a3=fmaf(scores[3][k],vv,a3);} \n obase[(q0+0)*D+d]=a0; obase[(q0+1)*D+d]=a1; obase[(q0+2)*D+d]=a2; obase[(q0+3)*D+d]=a3;\n }\n}\n\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V){auto O=torch::empty_like(Q); int blocks=Q.size(0)*Q.size(1)*128; sdpa_kernel4<<<blocks,256,0,at::cuda::getCurrentCUDAStream()>>>(Q.data_ptr<float>(),K.data_ptr<float>(),V.data_ptr<float>(),O.data_ptr<float>(),blocks); return O;}\n'''\n_ext=load_inline(name='sdpa_custom_ext_v2c', cpp_sources=[cpp_source], cuda_sources=[cuda_source], functions=['sdpa_forward'], verbose=False, extra_cuda_cflags=['-O3','--use_fast_math'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,Q,K,V): return _ext.sdpa_forward(Q,K,V)\n" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: kernel did not compile. Error building extension 'sdpa_custom_ext_v2c': [1/3] /opt/conda/bin/x86_64-conda-linux-gnu-c++ -MMD -MF main.o.d -DTORCH_EXTENSION_NAME=sdpa_custom_ext_v2c -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 -c /scratch/tejas/PopcornBench/runs/l12_default/original/gpt-5.5-priority/level_1_problem_97_cache/k_d9463f4de51f/sdpa_custom_ext_v2c/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=sdpa_custom_ext_v2c -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/original/gpt-5.5-priority/level_1_problem_97_cache/k_d9463f4de51f/sdpa_custom_ext_v2c/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=sdpa_custom_ext_v2c -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/original/gpt-5.5-priority/level_1_problem_97_cache/k_d9463f4de51f/sdpa_custom_ext_v2c/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/original/gpt-5.5-priority/level_1_problem_97_cache/k_d9463f4de51f/sdpa_custom_ext_v2c/cuda.cu(23): error: "#" not expected here for(int r=0;r<BR;r++){ #pragma unroll ^ /scratch/tejas/PopcornBench/runs/l12_default/original/gpt-5.5-priority/level_1_problem_97_cache/k_d9463f4de51f/sdpa_custom_ext_v2c/cuda.cu(23): error: expected an expression for(int r=0;r<BR;r++){ #pragma unroll ^ /scratch/tejas/PopcornBench/runs/l12_default/original/gpt-5.5-priority/level_1_problem_97_cache/k_d9463f4de51f/sdpa_custom_ext_v2c/cuda.cu(24): error: expected a ";" for(int i=0;i<4;i++){int d=tid+i*256; qsh[r][d]=qbase[(q0+r)*D+d];}} ^ 3 errors detected in the compilation of "/scratch/tejas/PopcornBench/runs/l12_default/original/gpt-5.5-priority/level_1_problem_97_cache/k_d9463f4de51f/sdpa_custom_ext_v2c/cuda.cu". ninja: build stopped: subcommand failed.
turn 511.9s turn · 11.9s LLM · 0.0s tools
reasoning
**Fixing compilation issues** I think I need to determine if the earlier code compilation passed successfully. There's a possibility the pragma was the same, but I find myself wondering if the line's set up might have affected it. Actually, I remember that version 2 did compile successfully, but I noticed that the code's correctness might be looking a bit malformed. I need to fix that and run it again to see if it works!
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\ncpp_source = r'''\n#include <torch/extension.h>\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V);\n'''\ncuda_source = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\nstatic __inline__ __device__ float warp_reduce_sum(float val){for(int o=16;o>0;o>>=1) val += __shfl_down_sync(0xffffffff,val,o); return val;}\nstatic __inline__ __device__ float warp_reduce_max(float val){for(int o=16;o>0;o>>=1) val = fmaxf(val,__shfl_down_sync(0xffffffff,val,o)); return val;}\nstatic __inline__ __device__ float block_sum(float val, float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5; val=warp_reduce_sum(val); if(lane==0) sm[wid]=val; __syncthreads(); val=(threadIdx.x<8)?sm[lane]:0.0f; if(wid==0) val=warp_reduce_sum(val); return val;}\nstatic __inline__ __device__ float block_max(float val, float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5; val=warp_reduce_max(val); if(lane==0) sm[wid]=val; __syncthreads(); val=(threadIdx.x<8)?sm[lane]:-INFINITY; if(wid==0) val=warp_reduce_max(val); return val;}\n\n__global__ __launch_bounds__(256,1)\nvoid sdpa_kernel4(const float* __restrict__ Q,const float* __restrict__ K,const float* __restrict__ V,float* __restrict__ O){\n constexpr int N=512,D=1024,BR=4; constexpr float SCALE=0.03125f;\n int bid=blockIdx.x, tid=threadIdx.x;\n int bh = bid >> 7;\n int q0 = (bid & 127) << 2;\n const float* qbase=Q + bh*N*D;\n const float* kbase=K + bh*N*D;\n const float* vbase=V + bh*N*D;\n float* obase=O + bh*N*D;\n __shared__ float qsh[BR][D];\n __shared__ float scores[BR][N];\n __shared__ float red[8];\n #pragma unroll\n for(int r=0;r<BR;r++){\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; qsh[r][d]=qbase[(q0+r)*D+d];}\n }\n __syncthreads();\n for(int k=0;k<N;k++){\n const float* kp=kbase+k*D;\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; float kv=kp[d]; s0=fmaf(qsh[0][d],kv,s0); s1=fmaf(qsh[1][d],kv,s1); s2=fmaf(qsh[2][d],kv,s2); s3=fmaf(qsh[3][d],kv,s3);} \n float d0=block_sum(s0,red); if(tid==0) scores[0][k]=d0*SCALE; __syncthreads();\n float d1=block_sum(s1,red); if(tid==0) scores[1][k]=d1*SCALE; __syncthreads();\n float d2=block_sum(s2,red); if(tid==0) scores[2][k]=d2*SCALE; __syncthreads();\n float d3=block_sum(s3,red); if(tid==0) scores[3][k]=d3*SCALE; __syncthreads();\n }\n #pragma unroll\n for(int r=0;r<BR;r++){\n float lm=-INFINITY; for(int k=tid;k<N;k+=256) lm=fmaxf(lm,scores[r][k]);\n float mv=block_max(lm,red); if(tid==0) red[0]=mv; __syncthreads(); mv=red[0];\n float ls=0.f; for(int k=tid;k<N;k+=256){float e=expf(scores[r][k]-mv); scores[r][k]=e; ls+=e;}\n float sv=block_sum(ls,red); if(tid==0) red[0]=1.f/sv; __syncthreads(); float inv=red[0];\n for(int k=tid;k<N;k+=256) scores[r][k]*=inv; __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;ii++){\n int d=tid+ii*256; float a0=0.f,a1=0.f,a2=0.f,a3=0.f;\n for(int k=0;k<N;k++){float vv=vbase[k*D+d]; a0=fmaf(scores[0][k],vv,a0); a1=fmaf(scores[1][k],vv,a1); a2=fmaf(scores[2][k],vv,a2); a3=fmaf(scores[3][k],vv,a3);} \n obase[(q0+0)*D+d]=a0; obase[(q0+1)*D+d]=a1; obase[(q0+2)*D+d]=a2; obase[(q0+3)*D+d]=a3;\n }\n}\n\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V){auto O=torch::empty_like(Q); int blocks=Q.size(0)*Q.size(1)*128; sdpa_kernel4<<<blocks,256,0,at::cuda::getCurrentCUDAStream()>>>(Q.data_ptr<float>(),K.data_ptr<float>(),V.data_ptr<float>(),O.data_ptr<float>()); return O;}\n'''\n_ext=load_inline(name='sdpa_custom_ext_v2d', cpp_sources=[cpp_source], cuda_sources=[cuda_source], functions=['sdpa_forward'], verbose=False, extra_cuda_cflags=['-O3','--use_fast_math'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,Q,K,V): return _ext.sdpa_forward(Q,K,V)\n" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=1.25e-06 mean_abs_err=2.45e-07 max_rel_err=2.45e-06
turn 6 · 1 tool call(s) · 19.7s turn · 19.7s LLM · 9,211 chars (click to expand)
turn 619.7s turn · 19.7s LLM · 0.0s tools
reasoning
**Evaluating timing and performance** I need to understand the timing for submissions, especially between versions one and two, but I'm limited on information. While I might consider internal timing, submitting final version two could help. Alternatively, there might be hidden timing elements. Exploring block reductions with parameters, like BR=8, might be beneficial. Each key/value read, shared memory limits, and register outputs need careful calculations. I’m thinking about how to manually implement BR=8 while managing arrays and loops effectively. So, let’s see how that pans out! **Analyzing loop efficiency** I'm considering potential loops with a dynamic index that may not compile as efficiently unrolled. Using `#pragma unroll` could help, especially with the output accumulation array. While correctness is key, I believe there's a chance for speed due to memory optimization and reducing blocks. However, I need to think about synchronization, particularly around the block sum and its sync requirements before proceeding with reductions. It seems that if one warp is still processing, other warps could overwrite shared memory too soon, which may cause issues. Careful management of syncs is essential! **Reviewing warp synchronization** I'm thinking about how other warps might access shared memory after a function return and potentially write to `smem[lane]` before warp0 finishes its shuffle. However, it looks like warp0 loads values from shared memory into registers before the shuffle, so that should be safe. I’m also noting that only `tid0` stores the scores, and subsequent `syncthreads` ensure visibility. While I'm not certain it’s essential for reductions, it seems alright for output scores to be complete. I’ll keep that in mind!
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\ncpp_source=r'''\n#include <torch/extension.h>\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V);\n'''\ncuda_source=r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\nstatic __inline__ __device__ float warp_reduce_sum(float v){for(int o=16;o>0;o>>=1)v+=__shfl_down_sync(0xffffffff,v,o);return v;}\nstatic __inline__ __device__ float warp_reduce_max(float v){for(int o=16;o>0;o>>=1)v=fmaxf(v,__shfl_down_sync(0xffffffff,v,o));return v;}\nstatic __inline__ __device__ float block_sum(float v,float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5;v=warp_reduce_sum(v);if(lane==0)sm[wid]=v;__syncthreads();v=(threadIdx.x<8)?sm[lane]:0.f;if(wid==0)v=warp_reduce_sum(v);return v;}\nstatic __inline__ __device__ float block_max(float v,float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5;v=warp_reduce_max(v);if(lane==0)sm[wid]=v;__syncthreads();v=(threadIdx.x<8)?sm[lane]:-INFINITY;if(wid==0)v=warp_reduce_max(v);return v;}\n__global__ __launch_bounds__(256,1)\nvoid ker8(const float* __restrict__ Q,const float* __restrict__ K,const float* __restrict__ V,float* __restrict__ O){\n constexpr int N=512,D=1024,BR=8; constexpr float SCALE=0.03125f; int bid=blockIdx.x,tid=threadIdx.x; int bh=bid>>6; int q0=(bid&63)<<3;\n const float* qbase=Q+bh*N*D; const float* kbase=K+bh*N*D; const float* vbase=V+bh*N*D; float* obase=O+bh*N*D;\n __shared__ float qsh[BR][D]; __shared__ float scores[BR][N]; __shared__ float red[8];\n #pragma unroll\n for(int r=0;r<BR;r++){\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; qsh[r][d]=qbase[(q0+r)*D+d];}\n }\n __syncthreads();\n for(int k=0;k<N;k++){\n const float* kp=kbase+k*D; float s[BR];\n #pragma unroll\n for(int r=0;r<BR;r++) s[r]=0.f;\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; float kv=kp[d];\n #pragma unroll\n for(int r=0;r<BR;r++) s[r]=fmaf(qsh[r][d],kv,s[r]);\n }\n #pragma unroll\n for(int r=0;r<BR;r++){float dot=block_sum(s[r],red); if(tid==0) scores[r][k]=dot*SCALE; __syncthreads();}\n }\n #pragma unroll\n for(int r=0;r<BR;r++){\n float lm=-INFINITY; for(int k=tid;k<N;k+=256) lm=fmaxf(lm,scores[r][k]); float mv=block_max(lm,red); if(tid==0) red[0]=mv; __syncthreads(); mv=red[0];\n float ls=0.f; for(int k=tid;k<N;k+=256){float e=expf(scores[r][k]-mv); scores[r][k]=e; ls+=e;} float sv=block_sum(ls,red); if(tid==0) red[0]=1.f/sv; __syncthreads(); float inv=red[0];\n for(int k=tid;k<N;k+=256) scores[r][k]*=inv; __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;ii++){int d=tid+ii*256; float a[BR];\n #pragma unroll\n for(int r=0;r<BR;r++) a[r]=0.f;\n for(int k=0;k<N;k++){float vv=vbase[k*D+d];\n #pragma unroll\n for(int r=0;r<BR;r++) a[r]=fmaf(scores[r][k],vv,a[r]);\n }\n #pragma unroll\n for(int r=0;r<BR;r++) obase[(q0+r)*D+d]=a[r];\n }\n}\ntorch::Tensor sdpa_forward(torch::Tensor Q,torch::Tensor K,torch::Tensor V){auto O=torch::empty_like(Q); int blocks=Q.size(0)*Q.size(1)*64; ker8<<<blocks,256,0,at::cuda::getCurrentCUDAStream()>>>(Q.data_ptr<float>(),K.data_ptr<float>(),V.data_ptr<float>(),O.data_ptr<float>()); return O;}\n'''\n_ext=load_inline(name='sdpa_custom_ext_v3',cpp_sources=[cpp_source],cuda_sources=[cuda_source],functions=['sdpa_forward'],verbose=False,extra_cuda_cflags=['-O3','--use_fast_math'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,Q,K,V): return _ext.sdpa_forward(Q,K,V)\n" }
result ← compile_kernel (fail)
failcompile_kernel compile_kernel FAILED: RuntimeError. RuntimeError: Error building extension 'sdpa_custom_ext_v3': [1/3] /opt/conda/bin/x86_64-conda-linux-gnu-c++ -MMD -MF main.o.d -DTORCH_EXTENSION_NAME=sdpa_custom_ext_v3 -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 -c /scratch/tejas/PopcornBench/runs/l12_default/original/gpt-5.5-priority/level_1_problem_97_cache/k_676a9e8ffea2/sdpa_custom_ext_v3/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=sdpa_custom_ext_v3 -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/original/gpt-5.5-priority/level_1_problem_97_cache/k_676a9e8ffea2/sdpa_custom_ext_v3/cuda.cu -o cuda.cuda.o FAILED: [code=255] 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=sdpa_custom_ext_v3 -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/original/gpt-5.5-priority/level_1_problem_97_cache/k_676a9e8ffea2/sdpa_custom_ext_v3/cuda.cu -o cuda.cuda.o nvcc warning : incompatible redefinition for option 'compiler-bindir', the last value of this option was used ptxas error : Entry function '_Z4ker8PKfS0_S0_Pf' uses too much shared data (0xc020 bytes, 0xc000 max) ninja: build stopped: subcommand failed.
turn 720.9s turn · 20.9s 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\ncpp_source=r'''\n#include <torch/extension.h>\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V);\n'''\ncuda_source=r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\nstatic __inline__ __device__ float warp_reduce_sum(float v){for(int o=16;o>0;o>>=1)v+=__shfl_down_sync(0xffffffff,v,o);return v;}\nstatic __inline__ __device__ float warp_reduce_max(float v){for(int o=16;o>0;o>>=1)v=fmaxf(v,__shfl_down_sync(0xffffffff,v,o));return v;}\nstatic __inline__ __device__ float block_sum(float v,float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5;v=warp_reduce_sum(v);if(lane==0)sm[wid]=v;__syncthreads();v=(threadIdx.x<8)?sm[lane]:0.f;if(wid==0)v=warp_reduce_sum(v);return v;}\nstatic __inline__ __device__ float block_max(float v,float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5;v=warp_reduce_max(v);if(lane==0)sm[wid]=v;__syncthreads();v=(threadIdx.x<8)?sm[lane]:-INFINITY;if(wid==0)v=warp_reduce_max(v);return v;}\n__global__ __launch_bounds__(256,1)\nvoid ker8(const float* __restrict__ Q,const float* __restrict__ K,const float* __restrict__ V,float* __restrict__ O){\n constexpr int N=512,D=1024,BR=8; constexpr float SCALE=0.03125f; int bid=blockIdx.x,tid=threadIdx.x; int bh=bid>>6; int q0=(bid&63)<<3;\n const float* qbase=Q+bh*N*D; const float* kbase=K+bh*N*D; const float* vbase=V+bh*N*D; float* obase=O+bh*N*D;\n extern __shared__ float smdyn[]; float* qsh=smdyn; float* scores=smdyn+BR*D; __shared__ float red[8];\n #pragma unroll\n for(int r=0;r<BR;r++){\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; qsh[r*D+d]=qbase[(q0+r)*D+d];}\n }\n __syncthreads();\n for(int k=0;k<N;k++){\n const float* kp=kbase+k*D; float s[BR];\n #pragma unroll\n for(int r=0;r<BR;r++) s[r]=0.f;\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; float kv=kp[d];\n #pragma unroll\n for(int r=0;r<BR;r++) s[r]=fmaf(qsh[r*D+d],kv,s[r]);\n }\n #pragma unroll\n for(int r=0;r<BR;r++){float dot=block_sum(s[r],red); if(tid==0) scores[r*N+k]=dot*SCALE; __syncthreads();}\n }\n #pragma unroll\n for(int r=0;r<BR;r++){\n float lm=-INFINITY; for(int k=tid;k<N;k+=256) lm=fmaxf(lm,scores[r*N+k]); float mv=block_max(lm,red); if(tid==0) red[0]=mv; __syncthreads(); mv=red[0];\n float ls=0.f; for(int k=tid;k<N;k+=256){float e=expf(scores[r*N+k]-mv); scores[r*N+k]=e; ls+=e;} float sv=block_sum(ls,red); if(tid==0) red[0]=1.f/sv; __syncthreads(); float inv=red[0];\n for(int k=tid;k<N;k+=256) scores[r*N+k]*=inv; __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;ii++){int d=tid+ii*256; float a[BR];\n #pragma unroll\n for(int r=0;r<BR;r++) a[r]=0.f;\n for(int k=0;k<N;k++){float vv=vbase[k*D+d];\n #pragma unroll\n for(int r=0;r<BR;r++) a[r]=fmaf(scores[r*N+k],vv,a[r]);\n }\n #pragma unroll\n for(int r=0;r<BR;r++) obase[(q0+r)*D+d]=a[r];\n }\n}\ntorch::Tensor sdpa_forward(torch::Tensor Q,torch::Tensor K,torch::Tensor V){auto O=torch::empty_like(Q); int blocks=Q.size(0)*Q.size(1)*64; int sh=8*1024*4+8*512*4; cudaFuncSetAttribute(ker8,cudaFuncAttributeMaxDynamicSharedMemorySize,sh); ker8<<<blocks,256,sh,at::cuda::getCurrentCUDAStream()>>>(Q.data_ptr<float>(),K.data_ptr<float>(),V.data_ptr<float>(),O.data_ptr<float>()); return O;}\n'''\n_ext=load_inline(name='sdpa_custom_ext_v3dyn',cpp_sources=[cpp_source],cuda_sources=[cuda_source],functions=['sdpa_forward'],verbose=False,extra_cuda_cflags=['-O3','--use_fast_math'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,Q,K,V): return _ext.sdpa_forward(Q,K,V)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 811.0s turn · 11.0s 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\ncpp_source=r'''\n#include <torch/extension.h>\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V);\n'''\ncuda_source=r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\nstatic __inline__ __device__ float warp_reduce_sum(float v){for(int o=16;o>0;o>>=1)v+=__shfl_down_sync(0xffffffff,v,o);return v;}\nstatic __inline__ __device__ float warp_reduce_max(float v){for(int o=16;o>0;o>>=1)v=fmaxf(v,__shfl_down_sync(0xffffffff,v,o));return v;}\nstatic __inline__ __device__ float block_sum(float v,float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5;v=warp_reduce_sum(v);if(lane==0)sm[wid]=v;__syncthreads();v=(threadIdx.x<8)?sm[lane]:0.f;if(wid==0)v=warp_reduce_sum(v);return v;}\nstatic __inline__ __device__ float block_max(float v,float* sm){int lane=threadIdx.x&31,wid=threadIdx.x>>5;v=warp_reduce_max(v);if(lane==0)sm[wid]=v;__syncthreads();v=(threadIdx.x<8)?sm[lane]:-INFINITY;if(wid==0)v=warp_reduce_max(v);return v;}\n__global__ __launch_bounds__(256,1)\nvoid ker8(const float* __restrict__ Q,const float* __restrict__ K,const float* __restrict__ V,float* __restrict__ O){\n constexpr int N=512,D=1024,BR=8; constexpr float SCALE=0.03125f; int bid=blockIdx.x,tid=threadIdx.x; int bh=bid>>6; int q0=(bid&63)<<3;\n const float* qbase=Q+bh*N*D; const float* kbase=K+bh*N*D; const float* vbase=V+bh*N*D; float* obase=O+bh*N*D;\n extern __shared__ float smdyn[]; float* qsh=smdyn; float* scores=smdyn+BR*D; __shared__ float red[8];\n #pragma unroll\n for(int r=0;r<BR;r++){\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; qsh[r*D+d]=qbase[(q0+r)*D+d];}\n }\n __syncthreads();\n for(int k=0;k<N;k++){\n const float* kp=kbase+k*D; float s[BR];\n #pragma unroll\n for(int r=0;r<BR;r++) s[r]=0.f;\n #pragma unroll\n for(int i=0;i<4;i++){int d=tid+i*256; float kv=kp[d];\n #pragma unroll\n for(int r=0;r<BR;r++) s[r]=fmaf(qsh[r*D+d],kv,s[r]);\n }\n #pragma unroll\n for(int r=0;r<BR;r++){float dot=block_sum(s[r],red); if(tid==0) scores[r*N+k]=dot*SCALE; __syncthreads();}\n }\n #pragma unroll\n for(int r=0;r<BR;r++){\n float lm=-INFINITY; for(int k=tid;k<N;k+=256) lm=fmaxf(lm,scores[r*N+k]); float mv=block_max(lm,red); if(tid==0) red[0]=mv; __syncthreads(); mv=red[0];\n float ls=0.f; for(int k=tid;k<N;k+=256){float e=expf(scores[r*N+k]-mv); scores[r*N+k]=e; ls+=e;} float sv=block_sum(ls,red); if(tid==0) red[0]=1.f/sv; __syncthreads(); float inv=red[0];\n for(int k=tid;k<N;k+=256) scores[r*N+k]*=inv; __syncthreads();\n }\n #pragma unroll\n for(int ii=0;ii<4;ii++){int d=tid+ii*256; float a[BR];\n #pragma unroll\n for(int r=0;r<BR;r++) a[r]=0.f;\n for(int k=0;k<N;k++){float vv=vbase[k*D+d];\n #pragma unroll\n for(int r=0;r<BR;r++) a[r]=fmaf(scores[r*N+k],vv,a[r]);\n }\n #pragma unroll\n for(int r=0;r<BR;r++) obase[(q0+r)*D+d]=a[r];\n }\n}\ntorch::Tensor sdpa_forward(torch::Tensor Q,torch::Tensor K,torch::Tensor V){auto O=torch::empty_like(Q); int blocks=Q.size(0)*Q.size(1)*64; int sh=8*1024*4+8*512*4; cudaFuncSetAttribute(ker8,cudaFuncAttributeMaxDynamicSharedMemorySize,sh); ker8<<<blocks,256,sh,at::cuda::getCurrentCUDAStream()>>>(Q.data_ptr<float>(),K.data_ptr<float>(),V.data_ptr<float>(),O.data_ptr<float>()); return O;}\n'''\n_ext=load_inline(name='sdpa_custom_ext_v3dync',cpp_sources=[cpp_source],cuda_sources=[cuda_source],functions=['sdpa_forward'],verbose=False,extra_cuda_cflags=['-O3','--use_fast_math'])\nclass ModelNew(nn.Module):\n def __init__(self): super(ModelNew,self).__init__()\n def forward(self,Q,K,V): return _ext.sdpa_forward(Q,K,V)\n" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 5) trials did not all match. correctness_issue: Output mismatch max_difference: ['0.017663', '0.025173', '0.018504', '0.014116', '0.017588'] avg_difference: ['0.000000', '0.000000', '0.000000', '0.000000', '0.000000']
turn 9 · FINAL · 1 tool call(s) · 12.7s turn · 12.7s LLM · 6,440 chars (click to expand)
turn 912.7s turn · 12.7s LLM · 0.0s tools · FINAL
reasoning
**Considering submission strategies** I need to submit the correct version, and it seems that the v2d version might perform better than v1, although I’m not sure about the timing. I think I might need to ensure that the last turn can call submit properly. Using v2d with grouping of four might be faster. I also want to make sure that the final code compiles, so submitting it is crucial, along with the complete code included.
call → submit_kernel
callsubmit_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncpp_source = r'''\n#include <torch/extension.h>\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V);\n'''\n\ncuda_source = r'''\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <math.h>\n\nstatic __inline__ __device__ float warp_reduce_sum(float val){\n for(int o=16;o>0;o>>=1) val += __shfl_down_sync(0xffffffff,val,o);\n return val;\n}\nstatic __inline__ __device__ float warp_reduce_max(float val){\n for(int o=16;o>0;o>>=1) val = fmaxf(val,__shfl_down_sync(0xffffffff,val,o));\n return val;\n}\nstatic __inline__ __device__ float block_sum(float val, float* sm){\n int lane=threadIdx.x&31, wid=threadIdx.x>>5;\n val=warp_reduce_sum(val);\n if(lane==0) sm[wid]=val;\n __syncthreads();\n val=(threadIdx.x<8) ? sm[lane] : 0.0f;\n if(wid==0) val=warp_reduce_sum(val);\n return val;\n}\nstatic __inline__ __device__ float block_max(float val, float* sm){\n int lane=threadIdx.x&31, wid=threadIdx.x>>5;\n val=warp_reduce_max(val);\n if(lane==0) sm[wid]=val;\n __syncthreads();\n val=(threadIdx.x<8) ? sm[lane] : -INFINITY;\n if(wid==0) val=warp_reduce_max(val);\n return val;\n}\n\n__global__ __launch_bounds__(256,1)\nvoid sdpa_kernel4(const float* __restrict__ Q,const float* __restrict__ K,const float* __restrict__ V,float* __restrict__ O){\n constexpr int N=512, D=1024, BR=4;\n constexpr float SCALE=0.03125f;\n int bid=blockIdx.x, tid=threadIdx.x;\n int bh = bid >> 7;\n int q0 = (bid & 127) << 2;\n const float* qbase=Q + bh*N*D;\n const float* kbase=K + bh*N*D;\n const float* vbase=V + bh*N*D;\n float* obase=O + bh*N*D;\n\n __shared__ float qsh[BR][D];\n __shared__ float scores[BR][N];\n __shared__ float red[8];\n\n #pragma unroll\n for(int r=0;r<BR;r++){\n #pragma unroll\n for(int i=0;i<4;i++){\n int d=tid+i*256;\n qsh[r][d]=qbase[(q0+r)*D+d];\n }\n }\n __syncthreads();\n\n for(int k=0;k<N;k++){\n const float* kp=kbase+k*D;\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int i=0;i<4;i++){\n int d=tid+i*256;\n float kv=kp[d];\n s0=fmaf(qsh[0][d],kv,s0);\n s1=fmaf(qsh[1][d],kv,s1);\n s2=fmaf(qsh[2][d],kv,s2);\n s3=fmaf(qsh[3][d],kv,s3);\n }\n float d0=block_sum(s0,red); if(tid==0) scores[0][k]=d0*SCALE; __syncthreads();\n float d1=block_sum(s1,red); if(tid==0) scores[1][k]=d1*SCALE; __syncthreads();\n float d2=block_sum(s2,red); if(tid==0) scores[2][k]=d2*SCALE; __syncthreads();\n float d3=block_sum(s3,red); if(tid==0) scores[3][k]=d3*SCALE; __syncthreads();\n }\n\n #pragma unroll\n for(int r=0;r<BR;r++){\n float lm=-INFINITY;\n for(int k=tid;k<N;k+=256) lm=fmaxf(lm,scores[r][k]);\n float mv=block_max(lm,red);\n if(tid==0) red[0]=mv;\n __syncthreads();\n mv=red[0];\n float ls=0.f;\n for(int k=tid;k<N;k+=256){\n float e=expf(scores[r][k]-mv);\n scores[r][k]=e;\n ls+=e;\n }\n float sv=block_sum(ls,red);\n if(tid==0) red[0]=1.f/sv;\n __syncthreads();\n float inv=red[0];\n for(int k=tid;k<N;k+=256) scores[r][k]*=inv;\n __syncthreads();\n }\n\n #pragma unroll\n for(int ii=0;ii<4;ii++){\n int d=tid+ii*256;\n float a0=0.f,a1=0.f,a2=0.f,a3=0.f;\n for(int k=0;k<N;k++){\n float vv=vbase[k*D+d];\n a0=fmaf(scores[0][k],vv,a0);\n a1=fmaf(scores[1][k],vv,a1);\n a2=fmaf(scores[2][k],vv,a2);\n a3=fmaf(scores[3][k],vv,a3);\n }\n obase[(q0+0)*D+d]=a0;\n obase[(q0+1)*D+d]=a1;\n obase[(q0+2)*D+d]=a2;\n obase[(q0+3)*D+d]=a3;\n }\n}\n\ntorch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V){\n auto O=torch::empty_like(Q);\n int blocks=Q.size(0)*Q.size(1)*128;\n sdpa_kernel4<<<blocks,256,0,at::cuda::getCurrentCUDAStream()>>>(Q.data_ptr<float>(),K.data_ptr<float>(),V.data_ptr<float>(),O.data_ptr<float>());\n return O;\n}\n'''\n\n_ext = load_inline(name='sdpa_custom_ext_final', cpp_sources=[cpp_source], cuda_sources=[cuda_source], functions=['sdpa_forward'], verbose=False, extra_cuda_cflags=['-O3','--use_fast_math'])\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super(ModelNew,self).__init__()\n def forward(self, Q: torch.Tensor, K: torch.Tensor, V: torch.Tensor) -> torch.Tensor:\n return _ext.sdpa_forward(Q,K,V)\n" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (5 / 5) correctness trials all passed. Kernel runtime: 185.00 μs Runtime stats: mean=185.00μs median=?μs std=0.23μs Numerical precision: max_abs_err=1.25e-06 mean_abs_err=2.45e-07 max_rel_err=2.45e-06 Memory: 8225.0 MB peak (ref: 8225.0 MB, ratio: 1.0x) Kernel launches: 2 (ref: 15, fusion ratio: 7.5) Energy: 35098.22 mJ/run (ref: 4906.38 mJ, ratio: 0.1398x) SOL score: 0.1632
final submitted kernel (143 lines, 4,614 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

cpp_source = r'''
#include <torch/extension.h>
torch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V);
'''

cuda_source = r'''
#include <torch/extension.h>
#include <ATen/cuda/CUDAContext.h>
#include <cuda.h>
#include <cuda_runtime.h>
#include <math.h>

static __inline__ __device__ float warp_reduce_sum(float val){
    for(int o=16;o>0;o>>=1) val += __shfl_down_sync(0xffffffff,val,o);
    return val;
}
static __inline__ __device__ float warp_reduce_max(float val){
    for(int o=16;o>0;o>>=1) val = fmaxf(val,__shfl_down_sync(0xffffffff,val,o));
    return val;
}
static __inline__ __device__ float block_sum(float val, float* sm){
    int lane=threadIdx.x&31, wid=threadIdx.x>>5;
    val=warp_reduce_sum(val);
    if(lane==0) sm[wid]=val;
    __syncthreads();
    val=(threadIdx.x<8) ? sm[lane] : 0.0f;
    if(wid==0) val=warp_reduce_sum(val);
    return val;
}
static __inline__ __device__ float block_max(float val, float* sm){
    int lane=threadIdx.x&31, wid=threadIdx.x>>5;
    val=warp_reduce_max(val);
    if(lane==0) sm[wid]=val;
    __syncthreads();
    val=(threadIdx.x<8) ? sm[lane] : -INFINITY;
    if(wid==0) val=warp_reduce_max(val);
    return val;
}

__global__ __launch_bounds__(256,1)
void sdpa_kernel4(const float* __restrict__ Q,const float* __restrict__ K,const float* __restrict__ V,float* __restrict__ O){
    constexpr int N=512, D=1024, BR=4;
    constexpr float SCALE=0.03125f;
    int bid=blockIdx.x, tid=threadIdx.x;
    int bh = bid >> 7;
    int q0 = (bid & 127) << 2;
    const float* qbase=Q + bh*N*D;
    const float* kbase=K + bh*N*D;
    const float* vbase=V + bh*N*D;
    float* obase=O + bh*N*D;

    __shared__ float qsh[BR][D];
    __shared__ float scores[BR][N];
    __shared__ float red[8];

    #pragma unroll
    for(int r=0;r<BR;r++){
        #pragma unroll
        for(int i=0;i<4;i++){
            int d=tid+i*256;
            qsh[r][d]=qbase[(q0+r)*D+d];
        }
    }
    __syncthreads();

    for(int k=0;k<N;k++){
        const float* kp=kbase+k*D;
        float s0=0.f,s1=0.f,s2=0.f,s3=0.f;
        #pragma unroll
        for(int i=0;i<4;i++){
            int d=tid+i*256;
            float kv=kp[d];
            s0=fmaf(qsh[0][d],kv,s0);
            s1=fmaf(qsh[1][d],kv,s1);
            s2=fmaf(qsh[2][d],kv,s2);
            s3=fmaf(qsh[3][d],kv,s3);
        }
        float d0=block_sum(s0,red); if(tid==0) scores[0][k]=d0*SCALE; __syncthreads();
        float d1=block_sum(s1,red); if(tid==0) scores[1][k]=d1*SCALE; __syncthreads();
        float d2=block_sum(s2,red); if(tid==0) scores[2][k]=d2*SCALE; __syncthreads();
        float d3=block_sum(s3,red); if(tid==0) scores[3][k]=d3*SCALE; __syncthreads();
    }

    #pragma unroll
    for(int r=0;r<BR;r++){
        float lm=-INFINITY;
        for(int k=tid;k<N;k+=256) lm=fmaxf(lm,scores[r][k]);
        float mv=block_max(lm,red);
        if(tid==0) red[0]=mv;
        __syncthreads();
        mv=red[0];
        float ls=0.f;
        for(int k=tid;k<N;k+=256){
            float e=expf(scores[r][k]-mv);
            scores[r][k]=e;
            ls+=e;
        }
        float sv=block_sum(ls,red);
        if(tid==0) red[0]=1.f/sv;
        __syncthreads();
        float inv=red[0];
        for(int k=tid;k<N;k+=256) scores[r][k]*=inv;
        __syncthreads();
    }

    #pragma unroll
    for(int ii=0;ii<4;ii++){
        int d=tid+ii*256;
        float a0=0.f,a1=0.f,a2=0.f,a3=0.f;
        for(int k=0;k<N;k++){
            float vv=vbase[k*D+d];
            a0=fmaf(scores[0][k],vv,a0);
            a1=fmaf(scores[1][k],vv,a1);
            a2=fmaf(scores[2][k],vv,a2);
            a3=fmaf(scores[3][k],vv,a3);
        }
        obase[(q0+0)*D+d]=a0;
        obase[(q0+1)*D+d]=a1;
        obase[(q0+2)*D+d]=a2;
        obase[(q0+3)*D+d]=a3;
    }
}

torch::Tensor sdpa_forward(torch::Tensor Q, torch::Tensor K, torch::Tensor V){
    auto O=torch::empty_like(Q);
    int blocks=Q.size(0)*Q.size(1)*128;
    sdpa_kernel4<<<blocks,256,0,at::cuda::getCurrentCUDAStream()>>>(Q.data_ptr<float>(),K.data_ptr<float>(),V.data_ptr<float>(),O.data_ptr<float>());
    return O;
}
'''

_ext = load_inline(name='sdpa_custom_ext_final', cpp_sources=[cpp_source], cuda_sources=[cuda_source], functions=['sdpa_forward'], verbose=False, extra_cuda_cflags=['-O3','--use_fast_math'])

class ModelNew(nn.Module):
    def __init__(self):
        super(ModelNew,self).__init__()
    def forward(self, Q: torch.Tensor, K: torch.Tensor, V: torch.Tensor) -> torch.Tensor:
        return _ext.sdpa_forward(Q,K,V)