78_ConvTranspose3d_Max_Max_Sum
• balanced_workload_distribution_base
import torch
import torch.nn as nn
import torch.nn.functional as F
def module_fn(
x: torch.Tensor,
stride: int,
padding: int,
conv_transpose: torch.Tensor,
conv_transpose_bias: torch.Tensor,
) -> torch.Tensor:
"""
Applies a 3D transposed convolution operation followed by two max pooling layers and a sum operation.
Args:
x (torch.Tensor): Input tensor of shape (batch_size, in_channels, depth, height, width)
stride (int): Stride of the transposed convolution
padding (int): Padding of the transposed convolution
conv_transpose (torch.Tensor): Transposed convolution weight tensor
conv_transpose_bias (torch.Tensor): Bias tensor for transposed convolution
Returns:
torch.Tensor: Output tensor after applying transposed convolution, max pooling and sum reduction
"""
x = F.conv_transpose3d(
x, conv_transpose, bias=conv_transpose_bias, stride=stride, padding=padding
)
x = F.max_pool3d(x, kernel_size=2)
x = F.max_pool3d(x, kernel_size=3)
x = torch.sum(x, dim=1, keepdim=True)
return x
class Model(nn.Module):
"""
Model that performs a 3D transposed convolution, followed by two max pooling layers and a sum operation.
"""
def __init__(self, in_channels, out_channels, kernel_size, stride, padding):
super(Model, self).__init__()
conv = nn.ConvTranspose3d(in_channels, out_channels, kernel_size)
self.conv_transpose_parameter = nn.Parameter(conv.weight)
self.conv_transpose_bias = nn.Parameter(conv.bias)
def forward(self, x, stride, padding, fn=module_fn):
return fn(
x, stride, padding, self.conv_transpose_parameter, self.conv_transpose_bias
)
batch_size = 16
in_channels = 8
out_channels = 16
depth, height, width = 16, 32, 32
kernel_size = 3
stride = 2
padding = 1
def get_inputs():
return [torch.randn(batch_size, in_channels, depth, height, width), stride, padding]
def get_init_inputs():
return [in_channels, out_channels, kernel_size, stride, padding]
import torch
import torch.nn as nn
class Model(nn.Module):
"""
Model that performs a 3D transposed convolution, followed by two max pooling layers and a sum operation.
"""
def __init__(self, in_channels, out_channels, kernel_size, stride, padding):
super(Model, self).__init__()
self.conv_transpose = nn.ConvTranspose3d(in_channels, out_channels, kernel_size, stride=stride, padding=padding)
self.max_pool1 = nn.MaxPool3d(kernel_size=2)
self.max_pool2 = nn.MaxPool3d(kernel_size=3)
def forward(self, x):
x = self.conv_transpose(x)
x = self.max_pool1(x)
x = self.max_pool2(x)
x = torch.sum(x, dim=1, keepdim=True)
return x
batch_size = 16
in_channels = 8
out_channels = 16
depth, height, width = 16, 32, 32
kernel_size = 3
stride = 2
padding = 1
def get_inputs():
return [torch.randn(batch_size, in_channels, depth, height, width)]
def get_init_inputs():
return [in_channels, out_channels, kernel_size, stride, padding]
#include <torch/extension.h>
#include <ATen/ATen.h>
#include <cuda_runtime.h>
#define WARP_SIZE 32
// Optimized kernel with balanced workload distribution
// Grid mapping: grid.x = N * D, grid.y = H, grid.z = W
// Each block computes the sum over channels for one spatial location of one (n,d) pair.
template <int BLOCK_SIZE>
__global__ void sum_channels_kernel(const float* __restrict__ input, float* __restrict__ output,
int N, int C, int D, int H, int W) {
// Compute indices from grid: combine N and D into grid.x
int nd = blockIdx.x; // nd ranges from 0 to (N*D - 1)
int n = nd / D; // n index
int d = nd % D; // d index
int h = blockIdx.y; // h index
int w = blockIdx.z; // w index
// Compute the base offset for (n, d, h, w) in a contiguous tensor [N, C, D, H, W]
// Offset for element [n, c, d, h, w] = n * (C*D*H*W) + c * (D*H*W) + d * (H*W) + h * W + w
int base = n * (C * D * H * W) + d * (H * W) + h * W + w;
float thread_sum = 0.0f;
// Loop over channels with stride equal to BLOCK_SIZE
for (int c = threadIdx.x; c < C; c += BLOCK_SIZE) {
thread_sum += input[base + c * (D * H * W)];
}
// Warp-level reduction using shuffle intrinsics
unsigned int mask = 0xffffffff;
for (int offset = WARP_SIZE / 2; offset > 0; offset /= 2) {
thread_sum += __shfl_down_sync(mask, thread_sum, offset);
}
// Use shared memory to accumulate results from different warps if needed
__shared__ float warp_sums[BLOCK_SIZE / WARP_SIZE];
int lane = threadIdx.x % WARP_SIZE;
int warp_id = threadIdx.x / WARP_SIZE;
if (lane == 0) {
warp_sums[warp_id] = thread_sum;
}
__syncthreads();
// Final reduction from warp sums: let the first warp perform the reduction
float block_sum = 0.0f;
if (threadIdx.x < (BLOCK_SIZE / WARP_SIZE)) {
block_sum = warp_sums[threadIdx.x];
}
if (threadIdx.x < WARP_SIZE) {
for (int offset = (BLOCK_SIZE / WARP_SIZE) / 2; offset > 0; offset /= 2) {
block_sum += __shfl_down_sync(mask, block_sum, offset);
}
}
if (threadIdx.x == 0) {
// Output tensor has shape [N, 1, D, H, W] so index accordingly
int out_index = n * (D * H * W) + d * (H * W) + h * W + w;
output[out_index] = block_sum;
}
}
// Forward function that applies conv_transpose3d, pooling, then channel sum reduction
torch::Tensor forward(
torch::Tensor x,
int64_t stride,
int64_t padding,
torch::Tensor conv_transpose,
torch::Tensor conv_transpose_bias) {
// Ensure inputs are contiguous
x = x.contiguous();
conv_transpose = conv_transpose.contiguous();
conv_transpose_bias = conv_transpose_bias.contiguous();
TORCH_CHECK(x.is_cuda(), "Input x must be a CUDA tensor");
TORCH_CHECK(conv_transpose.is_cuda(), "conv_transpose must be a CUDA tensor");
TORCH_CHECK(conv_transpose_bias.is_cuda(), "conv_transpose_bias must be a CUDA tensor");
// Apply transposed convolution
x = at::conv_transpose3d(
x,
conv_transpose,
conv_transpose_bias,
{stride, stride, stride},
{padding, padding, padding}
);
// Apply max pooling operations
x = at::max_pool3d(x, {2, 2, 2});
x = at::max_pool3d(x, {3, 3, 3});
// Prepare output tensor with summed channels (result shape: [N, 1, D, H, W])
const auto sizes = x.sizes(); // sizes: [N, C, D, H, W]
auto output = torch::zeros({sizes[0], 1, sizes[2], sizes[3], sizes[4]}, x.options());
// Launch kernel: use grid dimensions mapping (N*D, H, W) to cover the output spatial domain
const int BLOCK_SIZE = 256;
dim3 grid(sizes[0] * sizes[2], sizes[3], sizes[4]);
sum_channels_kernel<BLOCK_SIZE><<<grid, BLOCK_SIZE>>>(
x.data_ptr<float>(),
output.data_ptr<float>(),
sizes[0],
sizes[1],
sizes[2],
sizes[3],
sizes[4]
);
return output;
}
PYBIND11_MODULE(TORCH_EXTENSION_NAME, m) {
m.def("forward", &forward, "Optimized 78_ConvTranspose3d_Max_Max_Sum kernel with balanced workload distribution");
}
Metric | Value | Unit | Variance | Samples |
---|---|---|---|---|
Executed Ipc Active | 2.532 | inst/cycle | 0.000 | 5 |
Executed Ipc Elapsed | 2.042 | inst/cycle | 0.000 | 5 |
Issue Slots Busy | 63.502 | % | 0.025 | 5 |
Issued Ipc Active | 2.542 | inst/cycle | 0.000 | 5 |
SM Busy | 63.502 | % | 0.025 | 5 |
Memory Throughput | 46082311619.352 | byte/second | 74727649242934016.000 | 5 |
Mem Busy | 27.298 | % | 0.026 | 5 |
Max Bandwidth | 23.554 | % | 0.019 | 5 |
L1/TEX Hit Rate | 4.150 | % | 0.009 | 5 |
L2 Hit Rate | 91.188 | % | 0.037 | 5 |
Mem Pipes Busy | 44.162 | % | 0.067 | 5 |
Warp Cycles Per Issued Instruction | 18.718 | cycle | 0.007 | 5 |
Warp Cycles Per Executed Instruction | 18.778 | cycle | 0.007 | 5 |
Avg. Active Threads Per Warp | 30.440 | 0.000 | 5 | |
Avg. Not Predicated Off Threads Per Warp | 23.350 | 0.000 | 5 | |
Max Active Clusters | 0.000 | cluster | 0.000 | 5 |
Max Cluster Size | 8.000 | block | 0.000 | 5 |
Overall GPU Occupancy | 0.000 | % | 0.000 | 5 |
Cluster Occupancy | 0.000 | % | 0.000 | 5 |
Block Limit SM | 32.000 | block | 0.000 | 5 |
Block Limit Registers | 8.000 | block | 0.000 | 5 |
Block Limit Shared Mem | 28.000 | block | 0.000 | 5 |
Block Limit Warps | 8.000 | block | 0.000 | 5 |
Theoretical Active Warps per SM | 64.000 | warp | 0.000 | 5 |
Theoretical Occupancy | 100.000 | % | 0.000 | 5 |
Achieved Occupancy | 75.132 | % | 0.001 | 5 |
Achieved Active Warps Per SM | 48.082 | warp | 0.000 | 5 |
Rule | Description |
---|---|
INF HighPipeUtilization | ALU is the highest-utilized pipeline (55.1%) based on active cycles, taking into account the rates of its different instructions. It executes integer and logic operations. It is well-utilized, but should not be a bottleneck. |
INF CPIStall | Check the Warp Stall Sampling (All Cycles) table for the top stall locations in your source based on sampling data. The Kernel Profiling Guide (https://docs.nvidia.com/nsight-compute/ProfilingGuide/index.html#metrics-reference) provides more details on each stall reason. |
WRN ThreadDivergence | Instructions are executed in warps, which are groups of 32 threads. Optimal instruction throughput is achieved if all 32 threads of a warp execute the same instruction. The chosen launch configuration, early thread completion, and divergent flow control can significantly lower the number of active threads in a warp per cycle. This kernel achieves an average of 30.4 threads being active per cycle. This is further reduced to 23.4 threads per warp due to predication. The compiler may use predication to avoid an actual branch. Instead, all instructions are scheduled, but a per-thread condition code or predicate controls which threads execute the instructions. Try to avoid different execution paths within a warp when possible. In addition, ensure your kernel makes use of Independent Thread Scheduling, which allows a warp to reconverge after a data-dependent conditional block by explicitly calling __syncwarp(). |
WRN Occupancy | This kernel's theoretical occupancy is not impacted by any block limit. The difference between calculated theoretical (100.0%) and measured achieved occupancy (75.2%) can be the result of warp scheduling overheads or workload imbalances during the kernel execution. Load imbalances can occur between warps within a block as well as across blocks of the same kernel. See the CUDA Best Practices Guide (https://docs.nvidia.com/cuda/cuda-c-best-practices-guide/index.html#occupancy) for more details on optimizing occupancy. |
Operation / Metric | Value | Unit |
---|---|---|
aten::conv_transpose3d | ||
CPU Time | 3442611.49 | μs |
Device Time | 6963737.43 | μs |
Self CPU Time | 27816.73 | μs |
Self Device Time | 0.00 | μs |
CPU Memory Usage | 0 | B |
Device Memory Usage | 0 | B |
Self CPU Memory Usage | 0 | B |
Self Device Memory Usage | 0 | B |
aten::convolution | ||
CPU Time | 3414794.76 | μs |
Device Time | 6963737.43 | μs |
Self CPU Time | 36624.07 | μs |
Self Device Time | 0.00 | μs |
CPU Memory Usage | 0 | B |
Device Memory Usage | 0 | B |
Self CPU Memory Usage | 0 | B |
Self Device Memory Usage | 0 | B |
aten::_convolution | ||
CPU Time | 3378170.69 | μs |
Device Time | 6963737.43 | μs |
Self CPU Time | 75475.08 | μs |
Self Device Time | 0.00 | μs |
CPU Memory Usage | 0 | B |
Device Memory Usage | 0 | B |
Self CPU Memory Usage | 0 | B |
Self Device Memory Usage | 0 | B |
aten::cudnn_convolution_transpose | ||
CPU Time | 3154805.23 | μs |
Device Time | 5442574.73 | μs |
Self CPU Time | 335465.62 | μs |
Self Device Time | 5442574.73 | μs |
CPU Memory Usage | 0 | B |
Device Memory Usage | 0 | B |
Self CPU Memory Usage | 0 | B |
Self Device Memory Usage | 0 | B |
cudaLaunchKernel | ||
CPU Time | 6461365.07 | μs |
Device Time | 680.06 | μs |
Self CPU Time | 6461365.07 | μs |
Self Device Time | 680.06 | μs |
CPU Memory Usage | 0 | B |
Device Memory Usage | 0 | B |
Self CPU Memory Usage | 0 | B |
Self Device Memory Usage | 0 | B |
sm90_xmma_dgrad_implicit_gemm_indexed_f32f32_tf32f32_f32_nhwckrsc_nhwc_tilesize256x64x32_warpgroupsize1x1x1_g1_strided_execute_kernel__5x_cudnn | ||
CPU Time | 0.00 | μs |
Device Time | 3641286.64 | μs |
Self CPU Time | 0.00 | μs |
Self Device Time | 3641286.64 | μs |
CPU Memory Usage | 0 | B |
Device Memory Usage | 0 | B |
Self CPU Memory Usage | 0 | B |
Self Device Memory Usage | 0 | B |
aten::zero_ | ||
CPU Time | 3298299.22 | μs |
Device Time | 1089443.57 | μs |
Self CPU Time | 60398.26 | μs |
Self Device Time | 0.00 | μs |
CPU Memory Usage | 0 | B |
Device Memory Usage | 0 | B |
Self CPU Memory Usage | 0 | B |
Self Device Memory Usage | 0 | B |
45290 warnings generated when compiling for host. Suppressed 45325 warnings (45278 in non-user code, 47 NOLINT). Use -header-filter=.* to display errors from all non-system headers. Use -system-headers to display errors from system headers as well.