correct
91_cumsum_reverse.py
started
2026-05-05T00:47:19Z
timingkernelbench.timing
kernel mean / median / std
9.32 / — / 0.11 μs
ref mean / median / std
11.50 / — / 0.42 μs
numerical precisioneval_kernel_against_ref
gpu memoryextended_metrics.measure_memory
kernel launches / fusiontorch.profiler
fusion ratio (ref / kernel)
5.00x
energyNVML (pynvml)
ratio (ref / kernel)
1.28x
SOL (speed-of-light)nsight_hardware_counters
roofline / occupancynsight_hardware_counters
dram bandwidth
926.39 GB/s
warp stalls (top 5)nsight
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn
class Model(nn.Module):
"""
A model that performs a reverse cumulative sum operation along a specified dimension.
Parameters:
dim (int): The dimension along which to perform the reverse cumulative sum.
"""
def __init__(self, dim):
super(Model, self).__init__()
self.dim = dim
def forward(self, x):
return torch.cumsum(x.flip(self.dim), dim=self.dim).flip(self.dim)
batch_size = 32768
input_shape = (32768,)
dim = 1
def get_inputs():
return [torch.rand(batch_size, *input_shape)]
def get_init_inputs():
return [dim]
turn 0 · FINAL · 1 tool call(s) · 66.9s turn · 66.9s LLM · 7,452 chars (click to expand)
turn 066.9s turn · 66.9s LLM · 0.0s tools · FINAL
reasoning
**Evaluating thread performance**
I'm trying to figure out how warps load contiguous 32 chunks. If threads are loading from start+i with addresses tid*32+i, it seems like they might be accessing in a non-coalesced manner, which isn’t ideal. I wonder if it would be better for each thread to handle strided elements instead. But then, local scan requires a contiguous chunk, so I need to balance that out. There’s a lot to consider in optimizing this!
**Considering memory and code structure**
I'm thinking about organizing the framework with one block per row, totaling 32,768 blocks with 1,024 threads each, which sums up to about one billion elements. Good memory management entails using two passes for read/write operations instead of four passes with temporary data in PyTorch. CUB scan per tile might introduce some computation overhead, but it should ultimately be faster. I definitely need to code this using load_inline and construct dimensions—although I'm unsure if I should stick with just dim=1 or possibly support dim=0 too.
**Considering thread performance**
I’m thinking about how some threads might be performing storage while others move on and reuse temp data. It seems like that could work, but I’m worrying about CUB temp not being used effectively. The CUB collective requires all threads to call and carry data locally, so there's actually no need for a second instance. It feels like there’s a complexity here that could be simplified with a clearer approach.
**Evaluating optimization strategies**
I’m thinking about the output order for some computations. It seems like tid0 should store the last element while tid31 could hold the sum of the last 31 elements. However, there’s a potential performance issue since each block reads and writes 128KB, which might be significant with 32,768 rows. I wonder if PyTorch's cumsum function is optimized enough for this task. To enhance efficiency, I should consider using vectorized operations to reduce CUB calls and get better occupancy.
**Considering reverse and scan implementation**
I need to implement reverse and scan functions. The CUB BlockScan supports arrays with InclusiveSum, which could perform scans in a blocked arrangement. It seems CUB BlockScan's InclusiveSum takes inputs and outputs that allow for threading across different items. However, I need to make sure that I handle the reversed sequence correctly. I’m thinking about assigning thread handles to manage four reversed consecutive elements while keeping the sequence order in mind. This could help streamline the process.
call → submit_kernel
callsubmit_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\n\ntorch::Tensor reverse_cumsum_forward(torch::Tensor x, int64_t dim);\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cub/cub.cuh>\n#include <cstdint>\n\n// One CTA computes one row. The row length in the benchmark is 32768 = 32*1024.\n// We process the row from right to left in coalesced 1024-element tiles. For each\n// tile, scanning the reversed tile gives exactly the suffix sums within that tile;\n// a scalar carry holds the sum of all tiles to its right.\ntemplate<int BLOCK_THREADS>\n__global__ void reverse_cumsum_lastdim_kernel(const float* __restrict__ x,\n float* __restrict__ y,\n int64_t rows,\n int64_t cols) {\n const int64_t row = static_cast<int64_t>(blockIdx.x);\n if (row >= rows) return;\n\n const int tid = threadIdx.x;\n const int64_t base = row * cols;\n\n using BlockScan = cub::BlockScan<float, BLOCK_THREADS>;\n __shared__ typename BlockScan::TempStorage scan_storage;\n\n float carry = 0.0f;\n\n for (int64_t tile_end = cols; tile_end > 0; tile_end -= BLOCK_THREADS) {\n int64_t tile_start = tile_end - BLOCK_THREADS;\n if (tile_start < 0) tile_start = 0;\n const int count = static_cast<int>(tile_end - tile_start);\n\n // Reversed indexing: tid 0 corresponds to the rightmost element of the tile.\n const int64_t col = tile_end - 1 - tid;\n float v = 0.0f;\n if (tid < count) {\n v = x[base + col];\n }\n\n float scanned = 0.0f;\n float tile_sum = 0.0f;\n BlockScan(scan_storage).InclusiveSum(v, scanned, tile_sum);\n __syncthreads(); // scan_storage may be reused next loop iteration\n\n if (tid < count) {\n y[base + col] = scanned + carry;\n }\n carry += tile_sum;\n }\n}\n\ntorch::Tensor reverse_cumsum_forward(torch::Tensor x, int64_t dim) {\n TORCH_CHECK(x.is_cuda(), \"x must be a CUDA tensor\");\n TORCH_CHECK(x.scalar_type() == at::kFloat, \"only float32 is supported\");\n TORCH_CHECK(x.is_contiguous(), \"x must be contiguous\");\n TORCH_CHECK(x.dim() >= 1, \"x must have at least one dimension\");\n\n const int64_t ndim = x.dim();\n if (dim < 0) dim += ndim;\n TORCH_CHECK(dim == ndim - 1, \"this optimized kernel supports cumsum over the last dimension\");\n\n const int64_t cols = x.size(ndim - 1);\n const int64_t rows = x.numel() / cols;\n\n auto y = torch::empty_like(x);\n if (x.numel() == 0) return y;\n\n constexpr int BLOCK = 1024;\n dim3 block(BLOCK);\n dim3 grid(rows);\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n reverse_cumsum_lastdim_kernel<BLOCK><<<grid, block, 0, stream>>>(\n x.data_ptr<float>(), y.data_ptr<float>(), rows, cols);\n C10_CUDA_KERNEL_LAUNCH_CHECK();\n return y;\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"reverse_cumsum_lastdim_ext\",\n cpp_sources=_cpp_src,\n cuda_sources=_cuda_src,\n functions=[\"reverse_cumsum_forward\"],\n extra_cflags=[\"-O3\"],\n extra_cuda_cflags=[\"-O3\"],\n with_cuda=True,\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, dim):\n super(ModelNew, self).__init__()\n self.dim = dim\n\n def forward(self, x):\n return _ext.reverse_cumsum_forward(x, self.dim)\n"
}
result ← submit_kernel (ok)
oksubmit_kernel
submit_kernel PASSED: (5 / 5) correctness trials all passed.
Kernel runtime: 9.32 μs
Runtime stats: mean=9.32μs median=?μs std=0.11μs
Numerical precision: max_abs_err=7.91e-02 mean_abs_err=5.93e-03 max_rel_err=5.85e-06
Memory: 8225.0 MB peak (ref: 12321.0 MB, ratio: 0.6676x)
Kernel launches: 2 (ref: 10, fusion ratio: 5.0)
Energy: 1685.22 mJ/run (ref: 2164.56 mJ, ratio: 1.2844x)
SOL score: 0.2765
final submitted kernel (106 lines, 3,470 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline
_cpp_src = r"""
#include <torch/extension.h>
torch::Tensor reverse_cumsum_forward(torch::Tensor x, int64_t dim);
"""
_cuda_src = r"""
#include <torch/extension.h>
#include <ATen/cuda/CUDAContext.h>
#include <cub/cub.cuh>
#include <cstdint>
// One CTA computes one row. The row length in the benchmark is 32768 = 32*1024.
// We process the row from right to left in coalesced 1024-element tiles. For each
// tile, scanning the reversed tile gives exactly the suffix sums within that tile;
// a scalar carry holds the sum of all tiles to its right.
template<int BLOCK_THREADS>
__global__ void reverse_cumsum_lastdim_kernel(const float* __restrict__ x,
float* __restrict__ y,
int64_t rows,
int64_t cols) {
const int64_t row = static_cast<int64_t>(blockIdx.x);
if (row >= rows) return;
const int tid = threadIdx.x;
const int64_t base = row * cols;
using BlockScan = cub::BlockScan<float, BLOCK_THREADS>;
__shared__ typename BlockScan::TempStorage scan_storage;
float carry = 0.0f;
for (int64_t tile_end = cols; tile_end > 0; tile_end -= BLOCK_THREADS) {
int64_t tile_start = tile_end - BLOCK_THREADS;
if (tile_start < 0) tile_start = 0;
const int count = static_cast<int>(tile_end - tile_start);
// Reversed indexing: tid 0 corresponds to the rightmost element of the tile.
const int64_t col = tile_end - 1 - tid;
float v = 0.0f;
if (tid < count) {
v = x[base + col];
}
float scanned = 0.0f;
float tile_sum = 0.0f;
BlockScan(scan_storage).InclusiveSum(v, scanned, tile_sum);
__syncthreads(); // scan_storage may be reused next loop iteration
if (tid < count) {
y[base + col] = scanned + carry;
}
carry += tile_sum;
}
}
torch::Tensor reverse_cumsum_forward(torch::Tensor x, int64_t dim) {
TORCH_CHECK(x.is_cuda(), "x must be a CUDA tensor");
TORCH_CHECK(x.scalar_type() == at::kFloat, "only float32 is supported");
TORCH_CHECK(x.is_contiguous(), "x must be contiguous");
TORCH_CHECK(x.dim() >= 1, "x must have at least one dimension");
const int64_t ndim = x.dim();
if (dim < 0) dim += ndim;
TORCH_CHECK(dim == ndim - 1, "this optimized kernel supports cumsum over the last dimension");
const int64_t cols = x.size(ndim - 1);
const int64_t rows = x.numel() / cols;
auto y = torch::empty_like(x);
if (x.numel() == 0) return y;
constexpr int BLOCK = 1024;
dim3 block(BLOCK);
dim3 grid(rows);
cudaStream_t stream = at::cuda::getCurrentCUDAStream();
reverse_cumsum_lastdim_kernel<BLOCK><<<grid, block, 0, stream>>>(
x.data_ptr<float>(), y.data_ptr<float>(), rows, cols);
C10_CUDA_KERNEL_LAUNCH_CHECK();
return y;
}
"""
_ext = load_inline(
name="reverse_cumsum_lastdim_ext",
cpp_sources=_cpp_src,
cuda_sources=_cuda_src,
functions=["reverse_cumsum_forward"],
extra_cflags=["-O3"],
extra_cuda_cflags=["-O3"],
with_cuda=True,
verbose=False,
)
class ModelNew(nn.Module):
def __init__(self, dim):
super(ModelNew, self).__init__()
self.dim = dim
def forward(self, x):
return _ext.reverse_cumsum_forward(x, self.dim)