correct
31_bitmask_or_popcount.py
started
2026-05-11T22:34:53Z
timingkernelbench.timing
kernel mean / median / std
0.01 / — / 4.01e-04 μs
ref mean / median / std
0.70 / — / 0.01 μs
numerical precisioneval_kernel_against_ref
gpu memoryextended_metrics.measure_memory
kernel launches / fusiontorch.profiler
fusion ratio (ref / kernel)
48.80x
SOL (speed-of-light)nsight_hardware_counters
roofline / occupancynsight_hardware_counters
warp stalls (top 5)nsight
reference PyTorch source (the prompt the agent sees)
"""
R int32 bitmasks per batch element: reduce with bitwise OR across virtual ranks, then popcount (32-bit).
Output shape (B,) float32: number of set bits in the unsigned lower 32 bits of the OR result.
"""
import torch
import torch.nn as nn
from kernelbench.distributed_collectives import default_device
R = 4
B = 24
def _popcount_u32(v: torch.Tensor) -> torch.Tensor:
"""v: int32 or int64 tensor (B,), return float32 popcount in 0..32."""
b = v.shape[0]
u = v.to(torch.int64) & 0xFFFFFFFF
c = torch.zeros(b, dtype=torch.int64, device=v.device)
for k in range(32):
c = c + ((u >> k) & 1)
return c.to(torch.float32)
class Model(nn.Module):
def __init__(self):
super().__init__()
def forward(self, x: torch.Tensor) -> torch.Tensor:
# x: (R, B) int32
acc = x[0].to(torch.int64)
for r in range(1, R):
acc = acc | x[r].to(torch.int64)
acc = acc & 0xFFFFFFFF
return _popcount_u32(acc.to(torch.int32))
def get_inputs():
dev = default_device()
p = popcorn_pri
ints = torch.randint(
-(2**31), 2**31 - 1, (p.jitter_int(R), p.jitter_int(B)), device=dev
)
return [ints.to(torch.int32)]
def get_init_inputs():
return []
turn 0134.8s turn · 2.9s LLM · 131.9s tools · tokens in=2,171 · out=204 · total=2,375
reasoning
Let me understand the problem:
1. We have an input tensor `x` of shape `(R, B)` where `R=4` and `B=24`, with `int32` values.
2. We need to:
- OR together all R rows element-wise (reducing across the R dimension)
- Mask with `0xFFFFFFFF` to get unsigned lower 32 bits
- Count the number of set bits (popcount) for each of the B elements
- Return a tensor of shape `(B,)` with float32 popcounts
So essentially:
- Input: `(4, 24)` int32
- Output: `(24,)` float32
- Operation: OR reduction across dimension 0, then popcount
Let me write a CUDA kernel for this. The popcount operation can be done efficiently using the `__popc` intrinsic in CUDA.
Let me first get the GPU specs to understand the hardware.
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 183.4s turn · 7.4s LLM · 76.1s tools · tokens in=2,419 · out=603 · total=3,022
reasoning
Good, H100 specs. Let me write a CUDA kernel that does:
1. Load R elements per batch index from x (R, B)
2. Compute bitwise OR across R elements
3. Apply mask 0xFFFFFFFF
4. Compute popcount using __popc intrinsic
5. Store as float32
Let me write this kernel:
assistantLet me write a custom CUDA kernel for this task:
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\nconstexpr int R = 4;\nconstexpr int B = 24;\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n #pragma unroll\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32\n TORCH_CHECK(x.dim() == 2, \"x must be 2D\");\n TORCH_CHECK(x.size(0) == R, \"x must have R rows\");\n TORCH_CHECK(x.size(1) == B, \"x must have B columns\");\n TORCH_CHECK(x.dtype() == torch::kInt32, \"x must be int32\");\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x.data_ptr<int32_t>(),\n out.data_ptr<float>()\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 2272.4s turn · 5.6s LLM · 266.8s tools · tokens in=2,964 · out=533 · total=3,497
reasoning
The kernel compiled. Now let me check for correctness.
call → run_correctness
callrun_correctness
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\nconstexpr int R = 4;\nconstexpr int B = 24;\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n #pragma unroll\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32\n TORCH_CHECK(x.dim() == 2, \"x must be 2D\");\n TORCH_CHECK(x.size(0) == R, \"x must have R rows\");\n TORCH_CHECK(x.size(1) == B, \"x must have B columns\");\n TORCH_CHECK(x.dtype() == torch::kInt32, \"x must be int32\");\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x.data_ptr<int32_t>(),\n out.data_ptr<float>()\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← run_correctness (fail)
failrun_correctness
run_correctness FAILED: ? trials did not all match.
runtime_error: x must be int32
turn 3155.2s turn · 7.0s LLM · 148.1s tools · tokens in=3,509 · out=689 · total=4,198
reasoning
There's an issue with the data type check. Let me look at the reference more carefully - the input is int32 but maybe it's being passed differently. Let me also handle the case where the tensor might be contiguous or not, and avoid the strict type check.
Actually, looking at the error, it seems the tensor isn't int32. Let me check the reference implementation again:
- get_inputs returns ints.to(torch.int32), so the input should be int32.
Maybe there's an issue with how the kernel is being called. Let me relax the check or see what's happening.
Wait, I should make the kernel more flexible and not hardcode R and B, or at least pass them as parameters. Also, I should handle the case where the input tensor might have a different type by doing the conversion myself.
Let me revise to be more flexible.
assistantLet me fix the kernel to handle tensor types more flexibly:
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32\n TORCH_CHECK(x.dim() == 2, \"x must be 2D\");\n \n int R = x.size(0);\n int B = x.size(1);\n \n // Convert to int32 if needed\n auto x_int32 = x.toType(torch::kInt32);\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x_int32.data_ptr<int32_t>(),\n out.data_ptr<float>(),\n R, B\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v2',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 4162.6s turn · 5.0s LLM · 157.6s tools · tokens in=4,036 · out=511 · total=4,547
reasoning
Let me check if this version works correctly.
call → run_correctness
callrun_correctness
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32\n TORCH_CHECK(x.dim() == 2, \"x must be 2D\");\n \n int R = x.size(0);\n int B = x.size(1);\n \n // Convert to int32 if needed\n auto x_int32 = x.toType(torch::kInt32);\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x_int32.data_ptr<int32_t>(),\n out.data_ptr<float>(),\n R, B\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v2',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (3 / 3) trials all matched the reference.
Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
turn 518.6s turn · 6.8s LLM · 11.8s tools · tokens in=4,595 · out=524 · total=5,119
reasoning
The kernel passes correctness. Now let me profile it to understand its performance and see if there are any optimization opportunities.
call → profile_kernel
callprofile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32\n TORCH_CHECK(x.dim() == 2, \"x must be 2D\");\n \n int R = x.size(0);\n int B = x.size(1);\n \n // Convert to int32 if needed\n auto x_int32 = x.toType(torch::kInt32);\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x_int32.data_ptr<int32_t>(),\n out.data_ptr<float>(),\n R, B\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v2',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::to 105.0μs (42%) calls=1
#2: aten::_to_copy 83.0μs (33%) calls=1
#3: aten::copy_ 34.0μs (14%) calls=1
#4: aten::empty_strided 19.0μs (8%) calls=1
#5: aten::empty 9.0μs (4%) calls=1
--- Timing ---
GPU time: 6.53 μs
--- Memory Bandwidth ---
DRAM BW: 11.4/3350 GB/s (0.3%)
read=11.4 write=0.0 GB/s
Hit rates: L2=195.5%
--- Compute Throughput ---
Pipe util: FMA=0.6%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: UNKNOWN
--- Occupancy ---
Achieved: 12.6%
Eligible warps/cycle: 0.05
WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism
Launch: regs/thread=64, smem/blk=2048B, block=384, grid=2
--- Memory Access Quality ---
Global ld coalescing: 7.00 sectors/req (7.0x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
short_scoreboard 2520.1% ####################
long_scoreboard 1422.8% ####################
--- Optimization Hints ---
-> 2520% stalls: shared memory / L1 / MIO dependency. Check smem layout for bank conflicts, double-buffer, or async copies.
-> Global load coalescing=7.0x (ideal=1.0) -> 7x wasted DRAM BW. Make per-warp accesses contiguous.
-> Low occupancy (13%). Consider __launch_bounds__ or reducing register pressure.
-> Low eligible warps + low BW% + low compute% = LATENCY-BOUND. Need more parallelism (larger grid, more ILP, prefetching).
turn 683.1s turn · 8.1s LLM · 75.0s tools · tokens in=5,617 · out=821 · total=6,438
reasoning
The profiling shows the kernel itself is fast (6.53 μs GPU time), but the main overhead is the `aten::to` and other PyTorch operations for type conversion. The `.toType(torch::kInt32)` call is taking significant overhead. Let me see if the input is already int32. Looking at the reference, it does `ints.to(torch.int32)`, so the input should already be int32.
Let me check - the issue might be that PyTorch is doing extra copies. Let me try to make the kernel more efficient by:
1. Using `x.contiguous()` to ensure the tensor is contiguous before accessing
2. Avoiding the `.toType()` call if the tensor is already int32
Actually, looking more closely at the profiling, the kernel time is very small (6.53 μs), but the overhead from tensor operations is dominating. The "GPU time" of 6.53 μs seems to be just the kernel execution. But we need to look at total end-to-end time.
Let me see if I can avoid the copy operation by checking if the tensor is already contiguous and int32.
assistantThe profiling shows the kernel is fast (6.53 μs) but there's overhead from the `.toType()` call. Let me optimize by avoiding unnecessary copies:
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32\n TORCH_CHECK(x.dim() == 2, \"x must be 2D\");\n \n int R = x.size(0);\n int B = x.size(1);\n \n // Ensure contiguous int32 tensor - avoid copy if already contiguous int32\n torch::Tensor x_contiguous;\n if (x.dtype() == torch::kInt32 && x.is_contiguous()) {\n x_contiguous = x;\n } else {\n x_contiguous = x.toType(torch::kInt32).contiguous();\n }\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x_contiguous.data_ptr<int32_t>(),\n out.data_ptr<float>(),\n R, B\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v3',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 75.3s turn · 5.3s LLM · 0.0s tools · tokens in=6,214 · out=563 · total=6,777
reasoning
Let me run correctness again to make sure this still works.
call → run_correctness
callrun_correctness
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32\n TORCH_CHECK(x.dim() == 2, \"x must be 2D\");\n \n int R = x.size(0);\n int B = x.size(1);\n \n // Ensure contiguous int32 tensor - avoid copy if already contiguous int32\n torch::Tensor x_contiguous;\n if (x.dtype() == torch::kInt32 && x.is_contiguous()) {\n x_contiguous = x;\n } else {\n x_contiguous = x.toType(torch::kInt32).contiguous();\n }\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x_contiguous.data_ptr<int32_t>(),\n out.data_ptr<float>(),\n R, B\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v3',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (3 / 3) trials all matched the reference.
Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
turn 817.5s turn · 5.5s LLM · 12.0s tools · tokens in=6,822 · out=563 · total=7,385
reasoning
The kernel passes correctness. Now let me check performance with profiling.
call → profile_kernel
callprofile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32\n TORCH_CHECK(x.dim() == 2, \"x must be 2D\");\n \n int R = x.size(0);\n int B = x.size(1);\n \n // Ensure contiguous int32 tensor - avoid copy if already contiguous int32\n torch::Tensor x_contiguous;\n if (x.dtype() == torch::kInt32 && x.is_contiguous()) {\n x_contiguous = x;\n } else {\n x_contiguous = x.toType(torch::kInt32).contiguous();\n }\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x_contiguous.data_ptr<int32_t>(),\n out.data_ptr<float>(),\n R, B\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v3',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::to 107.0μs (42%) calls=1
#2: aten::_to_copy 84.0μs (33%) calls=1
#3: aten::copy_ 34.0μs (13%) calls=1
#4: aten::empty_strided 19.0μs (8%) calls=1
#5: aten::empty 8.0μs (3%) calls=1
--- Timing ---
GPU time: 6.56 μs [↑0.0μs REGRESSED]
--- Memory Bandwidth ---
DRAM BW: 11.3/3350 GB/s (0.3%)
read=11.3 write=0.0 GB/s
Hit rates: L2=195.5%
--- Compute Throughput ---
Pipe util: FMA=0.6%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: UNKNOWN
--- Occupancy ---
Achieved: 12.5% [↓0.1% REGRESSED]
Eligible warps/cycle: 0.05
WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism
Launch: regs/thread=64, smem/blk=2048B, block=384, grid=2
--- Memory Access Quality ---
Global ld coalescing: 7.00 sectors/req (7.0x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
short_scoreboard 2438.8% ####################
long_scoreboard 1560.9% ####################
--- Optimization Hints ---
-> 2439% stalls: shared memory / L1 / MIO dependency. Check smem layout for bank conflicts, double-buffer, or async copies.
-> Global load coalescing=7.0x (ideal=1.0) -> 7x wasted DRAM BW. Make per-warp accesses contiguous.
-> Low occupancy (12%). Consider __launch_bounds__ or reducing register pressure.
-> Low eligible warps + low BW% + low compute% = LATENCY-BOUND. Need more parallelism (larger grid, more ILP, prefetching).
--- Delta vs Previous Iteration ---
GPU time: 6.53→6.56μs (↑0.03) REGRESSED
Occupancy: 12.56→12.45% (↓0.11) REGRESSED
L2 hit%: 195.52→195.45% (↓0.07) REGRESSED
turn 983.7s turn · 9.0s LLM · 74.7s tools · tokens in=7,988 · out=902 · total=8,890
reasoning
The profiling shows that the main overhead comes from the `aten::to` and `aten::_to_copy` operations - which are the PyTorch tensor type conversion. The input is already int32 according to the problem description, but it seems the test is not providing it as contiguous int32.
Looking at the reference's get_inputs():
```python
ints = torch.randint(-(2**31), 2**31 - 1, (R, B), device=dev, generator=g)
return [ints.to(torch.int32)]
```
So the input IS already int32. But maybe it's not contiguous by default? Let me check - `torch.randint` should create a contiguous tensor.
Actually, looking at the profiling output, the `aten::to` operation is still happening. Let me check if perhaps the check is failing or if there's another issue.
Wait, I think the issue might be that my `x.dtype() == torch::kInt32` check is comparing the C++ torch type correctly but there might be something else happening.
Let me just trust that the kernel works fast enough and the toType call might be happening even when not needed due to some other reason. The kernel time is just 6.5 μs which is very fast.
Actually, looking more carefully at the profile, the overhead is in the `aten::to` operation - even though I'm checking for the type. This might be because PyTorch might be doing something internally.
Let me submit this version and see if it's faster than the reference. The reference has a Python loop with 32 iterations for popcount which is very slow, so even with the type conversion overhead, my kernel should be significantly faster.
But wait, I can try to eliminate the type check entirely and just assume the input is already int32 and contiguous, since that's what the problem description says. Let me try that.
assistantLet me check if we can skip the type conversion entirely since the input should already be int32:
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32 contiguous\n int R = x.size(0);\n int B = x.size(1);\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x.data_ptr<int32_t>(),\n out.data_ptr<float>(),\n R, B\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v4',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n # Ensure int32 contiguous input\n if x.dtype != torch.int32 or not x.is_contiguous():\n x = x.to(dtype=torch.int32, memory_format=torch.contiguous_format)\n return self.ext.popcount_forward(x)"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 104.9s turn · 4.9s LLM · 0.0s tools · tokens in=8,516 · out=501 · total=9,017
reasoning
Let me 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.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32 contiguous\n int R = x.size(0);\n int B = x.size(1);\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x.data_ptr<int32_t>(),\n out.data_ptr<float>(),\n R, B\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v4',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n # Ensure int32 contiguous input\n if x.dtype != torch.int32 or not x.is_contiguous():\n x = x.to(dtype=torch.int32, memory_format=torch.contiguous_format)\n return self.ext.popcount_forward(x)"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (3 / 3) trials all matched the reference.
Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
turn 1123.6s turn · 4.6s LLM · 19.0s tools · tokens in=9,069 · out=514 · total=9,583
reasoning
Correctness passes. Let me profile again to see if moving the conversion to Python side helps.
call → profile_kernel
callprofile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32 contiguous\n int R = x.size(0);\n int B = x.size(1);\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x.data_ptr<int32_t>(),\n out.data_ptr<float>(),\n R, B\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v4',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n # Ensure int32 contiguous input\n if x.dtype != torch.int32 or not x.is_contiguous():\n x = x.to(dtype=torch.int32, memory_format=torch.contiguous_format)\n return self.ext.popcount_forward(x)"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::to 96.0μs (43%) calls=1
#2: aten::_to_copy 75.0μs (33%) calls=1
#3: aten::copy_ 30.0μs (13%) calls=1
#4: aten::empty 19.0μs (8%) calls=1
#5: aten::empty 5.0μs (2%) calls=1
--- Timing ---
GPU time: 6.85 μs [↑0.3μs REGRESSED]
--- Memory Bandwidth ---
DRAM BW: 11.2/3350 GB/s (0.3%)
read=11.2 write=0.0 GB/s
Hit rates: L2=195.0%
--- Compute Throughput ---
Pipe util: FMA=0.6%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: UNKNOWN
--- Occupancy ---
Achieved: 12.5% [↑0.0% ok]
Eligible warps/cycle: 0.06
WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism
Launch: regs/thread=64, smem/blk=2048B, block=384, grid=2
--- Memory Access Quality ---
Global ld coalescing: 7.00 sectors/req (7.0x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
short_scoreboard 2463.8% ####################
long_scoreboard 1446.3% ####################
--- Optimization Hints ---
-> 2464% stalls: shared memory / L1 / MIO dependency. Check smem layout for bank conflicts, double-buffer, or async copies.
-> Global load coalescing=7.0x (ideal=1.0) -> 7x wasted DRAM BW. Make per-warp accesses contiguous.
-> Low occupancy (12%). Consider __launch_bounds__ or reducing register pressure.
-> Low eligible warps + low BW% + low compute% = LATENCY-BOUND. Need more parallelism (larger grid, more ILP, prefetching).
--- Delta vs Previous Iteration ---
GPU time: 6.56→6.85μs (↑0.29) REGRESSED
Occupancy: 12.45→12.48% (↑0.03) ok
L2 hit%: 195.45→194.96% (↓0.50) REGRESSED
turn 1283.4s turn · 8.4s LLM · 75.0s tools · tokens in=10,209 · out=866 · total=11,075
reasoning
The kernel is correct and working. The profiling shows that the overhead is mostly from PyTorch operations (aten::to, etc.) rather than our actual CUDA kernel. The kernel time itself is very small (~6.5 μs).
Looking at the breakdown:
- aten::to: 96μs
- aten::_to_copy: 75μs
- aten::copy_: 30μs
- etc.
The actual CUDA kernel execution is just 6.85μs which is already very fast. The overhead comes from Python-side checks and conversions.
Let me try to minimize overhead by removing the Python-side checks since the input should already be int32 from the get_inputs() function. I can do the check inside the C++ code more efficiently.
Actually, let me re-read the reference implementation more carefully:
```python
def forward(self, x: torch.Tensor) -> torch.Tensor:
# x: (R, B) int32
acc = x[0].to(torch.int64)
for r in range(1, R):
acc = acc | x[r].to(torch.int64)
acc = acc & 0xFFFFFFFF
return _popcount_u32(acc.to(torch.int32))
```
And get_inputs():
```python
def get_inputs():
dev = default_device()
g = torch.Generator(device=dev)
g.manual_seed(15)
ints = torch.randint(-(2**31), 2**31 - 1, (R, B), device=dev, generator=g)
return [ints.to(torch.int32)]
```
So the input is already int32 and contiguous. The Python-side check might be adding overhead. Let me try removing it and trusting the input format.
Actually, looking more carefully at the profile - the major overhead is from `aten::to`, `aten::_to_copy`, etc. These are happening even though the input should already be int32. Let me check if we need to handle this differently.
The issue might be that `x.to(dtype=torch.int32)` is still being called because of my Python-side check even when x is already int32. Let me simplify and just pass the input directly to the kernel without any checks.
assistantThe kernel is correct but the profiling shows the overhead is from Python-side checks. Since `get_inputs()` already returns contiguous int32 tensors, let me simplify by removing unnecessary checks:
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Unrolled OR across 4 rows (R=4)\n uint32_t acc = static_cast<uint32_t>(x[idx]) | static_cast<uint32_t>(x[B + idx]) \n | static_cast<uint32_t>(x[2*B + idx]) | static_cast<uint32_t>(x[3*B + idx]);\n out[idx] = static_cast<float>(__popc(acc));\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n int B = x.size(1);\n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n popcount_kernel<<<1, 32>>>(x.data_ptr<int32_t>(), out.data_ptr<float>(), B);\n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v5',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 134.2s turn · 4.2s LLM · 0.0s tools · tokens in=10,662 · out=385 · total=11,047
reasoning
Let me verify correctness first, then submit if it passes.
call → run_correctness
callrun_correctness
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Unrolled OR across 4 rows (R=4)\n uint32_t acc = static_cast<uint32_t>(x[idx]) | static_cast<uint32_t>(x[B + idx]) \n | static_cast<uint32_t>(x[2*B + idx]) | static_cast<uint32_t>(x[3*B + idx]);\n out[idx] = static_cast<float>(__popc(acc));\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n int B = x.size(1);\n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n popcount_kernel<<<1, 32>>>(x.data_ptr<int32_t>(), out.data_ptr<float>(), B);\n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_v5',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← run_correctness (fail)
failrun_correctness
run_correctness FAILED: ? trials did not all match.
runtime_error: expected scalar type Int but found Float
turn 1496.9s turn · 6.0s LLM · 90.9s tools · tokens in=11,149 · out=594 · total=11,743 · FINAL
reasoning
I need to submit my best correct kernel. The issue is with the type handling. Let me go back to the version that passed correctness and submit that one.
The version that passed was the one with the type conversion check in Python. Let me submit that one.
call → submit_kernel
callsubmit_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < B) {\n // Load R elements and compute bitwise OR\n uint32_t acc = 0;\n for (int r = 0; r < R; ++r) {\n // Access x[r, idx] - row-major layout: x[r * B + idx]\n uint32_t val = static_cast<uint32_t>(x[r * B + idx]);\n acc |= val;\n }\n // Popcount using CUDA intrinsic\n int count = __popc(acc);\n out[idx] = static_cast<float>(count);\n }\n}\n\ntorch::Tensor popcount_forward(torch::Tensor x) {\n // x: (R, B) int32\n TORCH_CHECK(x.dim() == 2, \"x must be 2D\");\n \n int R = x.size(0);\n int B = x.size(1);\n \n // Ensure contiguous int32 tensor\n torch::Tensor x_contiguous;\n if (x.dtype() == torch::kInt32 && x.is_contiguous()) {\n x_contiguous = x;\n } else {\n x_contiguous = x.toType(torch::kInt32).contiguous();\n }\n \n auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));\n \n int threads = 256;\n int blocks = (B + threads - 1) / threads;\n \n popcount_kernel<<<blocks, threads>>>(\n x_contiguous.data_ptr<int32_t>(),\n out.data_ptr<float>(),\n R, B\n );\n \n return out;\n}\n\"\"\"\n\next = load_inline(\n name='popcount_ext_final',\n cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],\n cuda_sources=[cuda_source],\n functions=['popcount_forward'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.ext = ext\n \n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return self.ext.popcount_forward(x)"
}
result ← submit_kernel (ok)
oksubmit_kernel
submit_kernel PASSED: (3 / 3) correctness trials all passed.
Kernel runtime: 0.01 μs
Runtime stats: mean=0.01μs median=?μs std=0.00μs
Numerical precision: max_abs_err=0.00e+00 mean_abs_err=0.00e+00 max_rel_err=0.00e+00
Memory: 33.0 MB peak (ref: 33.0 MB, ratio: 0.9999x)
Kernel launches: 5 (ref: 244, fusion ratio: 48.8)
SOL score: 0.0035
Flagged for excessive speedup — this submission may have been rejected by automated review.
final submitted kernel (71 lines, 1,967 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline
cuda_source = """
#include <torch/extension.h>
#include <cuda.h>
#include <cuda_runtime.h>
__global__ void popcount_kernel(const int32_t* __restrict__ x, float* __restrict__ out, int R, int B) {
int idx = blockIdx.x * blockDim.x + threadIdx.x;
if (idx < B) {
// Load R elements and compute bitwise OR
uint32_t acc = 0;
for (int r = 0; r < R; ++r) {
// Access x[r, idx] - row-major layout: x[r * B + idx]
uint32_t val = static_cast<uint32_t>(x[r * B + idx]);
acc |= val;
}
// Popcount using CUDA intrinsic
int count = __popc(acc);
out[idx] = static_cast<float>(count);
}
}
torch::Tensor popcount_forward(torch::Tensor x) {
// x: (R, B) int32
TORCH_CHECK(x.dim() == 2, "x must be 2D");
int R = x.size(0);
int B = x.size(1);
// Ensure contiguous int32 tensor
torch::Tensor x_contiguous;
if (x.dtype() == torch::kInt32 && x.is_contiguous()) {
x_contiguous = x;
} else {
x_contiguous = x.toType(torch::kInt32).contiguous();
}
auto out = torch::empty({B}, torch::TensorOptions().dtype(torch::kFloat32).device(x.device()));
int threads = 256;
int blocks = (B + threads - 1) / threads;
popcount_kernel<<<blocks, threads>>>(
x_contiguous.data_ptr<int32_t>(),
out.data_ptr<float>(),
R, B
);
return out;
}
"""
ext = load_inline(
name='popcount_ext_final',
cpp_sources=['torch::Tensor popcount_forward(torch::Tensor x);'],
cuda_sources=[cuda_source],
functions=['popcount_forward'],
extra_cuda_cflags=['-O3'],
verbose=False
)
class ModelNew(nn.Module):
def __init__(self):
super().__init__()
self.ext = ext
def forward(self, x: torch.Tensor) -> torch.Tensor:
return self.ext.popcount_forward(x)