correct
36_RMSNorm_.py
started
2026-05-04T03:13:05Z
timingkernelbench.timing
kernel mean / median / std
5.48 / — / 0.27 μs
ref mean / median / std
14.30 / — / 0.15 μs
numerical precisioneval_kernel_against_ref
gpu memoryextended_metrics.measure_memory
kernel launches / fusiontorch.profiler
fusion ratio (ref / kernel)
3.50x
energyNVML (pynvml)
ratio (ref / kernel)
2.33x
SOL (speed-of-light)nsight_hardware_counters
roofline / occupancynsight_hardware_counters
dram bandwidth
2807.63 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):
"""
Simple model that performs RMS Normalization.
"""
def __init__(self, num_features: int, eps: float = 1e-5):
"""
Initializes the RMSNorm layer.
Args:
num_features (int): Number of features in the input tensor.
eps (float, optional): A small value added to the denominator to avoid division by zero. Defaults to 1e-5.
"""
super(Model, self).__init__()
self.num_features = num_features
self.eps = eps
def forward(self, x: torch.Tensor) -> torch.Tensor:
"""
Applies RMS Normalization to the input tensor.
Args:
x (torch.Tensor): Input tensor of shape (batch_size, num_features, *).
Returns:
torch.Tensor: Output tensor with RMS Normalization applied, same shape as input.
"""
# Calculate the RMS along the feature dimension
rms = torch.sqrt(torch.mean(x ** 2, dim=1, keepdim=True) + self.eps)
# Normalize the input by dividing by the RMS
return x / rms
batch_size = 112
features = 64
dim1 = 512
dim2 = 512
def get_inputs():
x = torch.rand(batch_size, features, dim1, dim2)
return [x]
def get_init_inputs():
return [features]turn 0 · 1 tool call(s) · 35.8s turn · 35.8s LLM · 7,686 chars (click to expand)
turn 035.8s turn · 35.8s LLM · 0.0s tools
reasoning
**Exploring numerical tolerance**
I'm considering numerical tolerance in PyTorch, particularly how the mean function operates with x squared along dimension 1. It might use sequential order for summation from c=0 to 63, which raises some interesting points. The way x squared and the mean relate could influence how I think about computing these values. I’m curious about the difference between using rsqrtf versus sqrt/div and how that affects the results. There’s definitely a lot to think about here!
call → compile_kernel
callcompile_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\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\n\ntorch::Tensor rmsnorm_forward(torch::Tensor x, double eps) {\n auto y = torch::empty_like(x);\n rmsnorm_forward_cuda(x, y, eps);\n return y;\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void rmsnorm_c64_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * 64LL * (long long)S + s;\n\n float sum = 0.0f;\n #pragma unroll\n for (int c = 0; c < 64; ++c) {\n float v = x[base + (long long)c * S];\n sum = fmaf(v, v, sum);\n }\n float scale = rsqrtf(sum * (1.0f / 64.0f) + eps);\n #pragma unroll\n for (int c = 0; c < 64; ++c) {\n long long idx = base + (long long)c * S;\n y[idx] = x[idx] * scale;\n }\n}\n\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int C, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * C * (long long)S + s;\n float sum = 0.0f;\n for (int c = 0; c < C; ++c) {\n float v = x[base + (long long)c * S];\n sum = fmaf(v, v, sum);\n }\n float scale = rsqrtf(sum / (float)C + eps);\n for (int c = 0; c < C; ++c) {\n long long idx = base + (long long)c * S;\n y[idx] = x[idx] * scale;\n }\n}\n\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps) {\n int N = (int)x.size(0);\n int C = (int)x.size(1);\n long long Sll = 1;\n for (int i = 2; i < x.dim(); ++i) Sll *= x.size(i);\n int S = (int)Sll;\n int total = N * S;\n const int threads = 256;\n int blocks = (total + threads - 1) / threads;\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (C == 64) {\n rmsnorm_c64_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, S, (float)eps);\n } else {\n rmsnorm_generic_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, C, S, (float)eps);\n }\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"rmsnorm_ext_v1\",\n cpp_sources=[_cpp_src],\n cuda_sources=[_cuda_src],\n functions=[\"rmsnorm_forward\"],\n extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"],\n extra_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_features: int, eps: float = 1e-5):\n super(ModelNew, self).__init__()\n self.num_features = num_features\n self.eps = eps\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.rmsnorm_forward(x.contiguous(), float(self.eps))\n"
}
result ← compile_kernel (fail)
failcompile_kernel
compile_kernel FAILED: RuntimeError.
RuntimeError: Error building extension 'rmsnorm_ext_v1': [1/3] /opt/conda/bin/x86_64-conda-linux-gnu-c++ -MMD -MF main.o.d -DTORCH_EXTENSION_NAME=rmsnorm_ext_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -fPIC -std=c++17 -O3 -c /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_36_cache/k_b04227c8832b/rmsnorm_ext_v1/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=rmsnorm_ext_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -D__CUDA_NO_HALF_OPERATORS__ -D__CUDA_NO_HALF_CONVERSIONS__ -D__CUDA_NO_BFLOAT16_CONVERSIONS__ -D__CUDA_NO_HALF2_OPERATORS__ --expt-relaxed-constexpr -gencode=arch=compute_90,code=compute_90 -gencode=arch=compute_90,code=sm_90 --compiler-options '-fPIC' -O3 --use_fast_math -std=c++17 -c /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_36_cache/k_b04227c8832b/rmsnorm_ext_v1/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=rmsnorm_ext_v1 -DTORCH_API_INCLUDE_EXTENSION_H -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include -isystem /scratch/abaner/KernelBench/.venv/lib/python3.10/site-packages/torch/include/torch/csrc/api/include -isystem /usr/local/cuda/include -isystem /opt/conda/include/python3.10 -D__CUDA_NO_HALF_OPERATORS__ -D__CUDA_NO_HALF_CONVERSIONS__ -D__CUDA_NO_BFLOAT16_CONVERSIONS__ -D__CUDA_NO_HALF2_OPERATORS__ --expt-relaxed-constexpr -gencode=arch=compute_90,code=compute_90 -gencode=arch=compute_90,code=sm_90 --compiler-options '-fPIC' -O3 --use_fast_math -std=c++17 -c /scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_36_cache/k_b04227c8832b/rmsnorm_ext_v1/cuda.cu -o cuda.cuda.o
nvcc warning : incompatible redefinition for option 'compiler-bindir', the last value of this option was used
/scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_36_cache/k_b04227c8832b/rmsnorm_ext_v1/cuda.cu(61): error: namespace "at::cuda" has no member "getCurrentCUDAStream"
cudaStream_t stream = at::cuda::getCurrentCUDAStream();
^
1 error detected in the compilation of "/scratch/abaner/KernelBench/runs/l12_all_gpt/original/gpt-5.5-priority/level_1_problem_36_cache/k_b04227c8832b/rmsnorm_ext_v1/cuda.cu".
ninja: build stopped: subcommand failed.
turn 127.6s turn · 27.6s 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\n\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\n\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\n\ntorch::Tensor rmsnorm_forward(torch::Tensor x, double eps) {\n auto y = torch::empty_like(x);\n rmsnorm_forward_cuda(x, y, eps);\n return y;\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void rmsnorm_c64_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * 64LL * (long long)S + s;\n\n float sum = 0.0f;\n #pragma unroll\n for (int c = 0; c < 64; ++c) {\n float v = x[base + (long long)c * S];\n sum = fmaf(v, v, sum);\n }\n float scale = rsqrtf(sum * (1.0f / 64.0f) + eps);\n #pragma unroll\n for (int c = 0; c < 64; ++c) {\n long long idx = base + (long long)c * S;\n y[idx] = x[idx] * scale;\n }\n}\n\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int C, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * C * (long long)S + s;\n float sum = 0.0f;\n for (int c = 0; c < C; ++c) {\n float v = x[base + (long long)c * S];\n sum = fmaf(v, v, sum);\n }\n float scale = rsqrtf(sum / (float)C + eps);\n for (int c = 0; c < C; ++c) {\n long long idx = base + (long long)c * S;\n y[idx] = x[idx] * scale;\n }\n}\n\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps) {\n int N = (int)x.size(0);\n int C = (int)x.size(1);\n long long Sll = 1;\n for (int i = 2; i < x.dim(); ++i) Sll *= x.size(i);\n int S = (int)Sll;\n int total = N * S;\n const int threads = 256;\n int blocks = (total + threads - 1) / threads;\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (C == 64) {\n rmsnorm_c64_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, S, (float)eps);\n } else {\n rmsnorm_generic_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, C, S, (float)eps);\n }\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"rmsnorm_ext_v2\",\n cpp_sources=[_cpp_src],\n cuda_sources=[_cuda_src],\n functions=[\"rmsnorm_forward\"],\n extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"],\n extra_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_features: int, eps: float = 1e-5):\n super(ModelNew, self).__init__()\n self.num_features = num_features\n self.eps = eps\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.rmsnorm_forward(x.contiguous(), float(self.eps))\n"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 26.5s turn · 6.5s 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\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\n\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\n\ntorch::Tensor rmsnorm_forward(torch::Tensor x, double eps) {\n auto y = torch::empty_like(x);\n rmsnorm_forward_cuda(x, y, eps);\n return y;\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void rmsnorm_c64_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * 64LL * (long long)S + s;\n\n float sum = 0.0f;\n #pragma unroll\n for (int c = 0; c < 64; ++c) {\n float v = x[base + (long long)c * S];\n sum = fmaf(v, v, sum);\n }\n float scale = rsqrtf(sum * (1.0f / 64.0f) + eps);\n #pragma unroll\n for (int c = 0; c < 64; ++c) {\n long long idx = base + (long long)c * S;\n y[idx] = x[idx] * scale;\n }\n}\n\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int C, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * C * (long long)S + s;\n float sum = 0.0f;\n for (int c = 0; c < C; ++c) {\n float v = x[base + (long long)c * S];\n sum = fmaf(v, v, sum);\n }\n float scale = rsqrtf(sum / (float)C + eps);\n for (int c = 0; c < C; ++c) {\n long long idx = base + (long long)c * S;\n y[idx] = x[idx] * scale;\n }\n}\n\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps) {\n int N = (int)x.size(0);\n int C = (int)x.size(1);\n long long Sll = 1;\n for (int i = 2; i < x.dim(); ++i) Sll *= x.size(i);\n int S = (int)Sll;\n int total = N * S;\n const int threads = 256;\n int blocks = (total + threads - 1) / threads;\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (C == 64) {\n rmsnorm_c64_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, S, (float)eps);\n } else {\n rmsnorm_generic_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, C, S, (float)eps);\n }\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"rmsnorm_ext_v2c\",\n cpp_sources=[_cpp_src],\n cuda_sources=[_cuda_src],\n functions=[\"rmsnorm_forward\"],\n extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"],\n extra_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_features: int, eps: float = 1e-5):\n super(ModelNew, self).__init__()\n self.num_features = num_features\n self.eps = eps\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.rmsnorm_forward(x.contiguous(), float(self.eps))\n"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (5 / 5) trials all matched the reference.
Numerical precision: max_abs_err=8.34e-07 mean_abs_err=5.32e-08 max_rel_err=5.40e-07
turn 36.8s turn · 6.8s LLM · 0.0s tools
call → profile_kernel
callprofile_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\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\n\ntorch::Tensor rmsnorm_forward(torch::Tensor x, double eps) {\n auto y = torch::empty_like(x);\n rmsnorm_forward_cuda(x, y, eps);\n return y;\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void rmsnorm_c64_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * 64LL * (long long)S + s;\n\n float sum = 0.0f;\n #pragma unroll\n for (int c = 0; c < 64; ++c) {\n float v = x[base + (long long)c * S];\n sum = fmaf(v, v, sum);\n }\n float scale = rsqrtf(sum * (1.0f / 64.0f) + eps);\n #pragma unroll\n for (int c = 0; c < 64; ++c) {\n long long idx = base + (long long)c * S;\n y[idx] = x[idx] * scale;\n }\n}\n\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int C, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * C * (long long)S + s;\n float sum = 0.0f;\n for (int c = 0; c < C; ++c) {\n float v = x[base + (long long)c * S];\n sum = fmaf(v, v, sum);\n }\n float scale = rsqrtf(sum / (float)C + eps);\n for (int c = 0; c < C; ++c) {\n long long idx = base + (long long)c * S;\n y[idx] = x[idx] * scale;\n }\n}\n\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps) {\n int N = (int)x.size(0);\n int C = (int)x.size(1);\n long long Sll = 1;\n for (int i = 2; i < x.dim(); ++i) Sll *= x.size(i);\n int S = (int)Sll;\n int total = N * S;\n const int threads = 256;\n int blocks = (total + threads - 1) / threads;\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (C == 64) {\n rmsnorm_c64_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, S, (float)eps);\n } else {\n rmsnorm_generic_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, C, S, (float)eps);\n }\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"rmsnorm_ext_v2p\",\n cpp_sources=[_cpp_src],\n cuda_sources=[_cuda_src],\n functions=[\"rmsnorm_forward\"],\n extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"],\n extra_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_features: int, eps: float = 1e-5):\n super(ModelNew, self).__init__()\n self.num_features = num_features\n self.eps = eps\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.rmsnorm_forward(x.contiguous(), float(self.eps))\n"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::empty_like 44938.0μs (50%) calls=1
#2: aten::empty_strided 44906.0μs (50%) calls=1
--- Timing ---
GPU time: 5357.82 μs
--- Memory Bandwidth ---
DRAM BW: 2801.9/3350 GB/s (83.6%)
read=1402.9 write=1399.1 GB/s
Hit rates: L2=51.1%
--- Compute Throughput ---
Dominant pipe: FP32 util=6.4%
Pipe util: FMA=6.4%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: MEMORY-BOUND
--- Occupancy ---
Achieved: 34.7%
Eligible warps/cycle: 0.11
WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism
Launch: regs/thread=80, smem/blk=1024B, block=256, grid=114688
--- Memory Access Quality ---
Global ld coalescing: 4.00 sectors/req (4.0x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
long_scoreboard 3770.1% ####################
short_scoreboard 120.6% ####################
mio_throttle 75.5% ###############
--- Optimization Hints ---
-> 3770% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=4.0 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set.
-> Global load coalescing=4.0x (ideal=1.0) -> 4x wasted DRAM BW. Make per-warp accesses contiguous.
turn 4 · 1 tool call(s) · 21.4s turn · 21.4s LLM · 8,085 chars (click to expand)
turn 421.4s turn · 21.4s LLM · 0.0s tools
reasoning
**Evaluating GPU memory efficiency**
I’m analyzing why the GPU profile shows weird behavior with time and memory allocation. I'm thinking that it could involve how I'm handling data requests, especially with warp size and sector coalescing. It appears I'm reading inputs twice, which may be wasteful since it adds up to significant extra data movement. I wonder if optimizing read/write operations and using vectorization could help, especially considering the cache hits and how I'm accessing the data. A potential tweak might reduce unnecessary loads.
**Analyzing memory allocation issues**
I'm looking into why each thread's memory usage seems high, considering partial unrolling to reduce register occupancy from 80. The memory bandwidth is decent at 83.6%, but I wonder about the allocation overhead. Profiling shows large allocations, and I'm puzzled whether kernel timing includes allocation as it seems like a mess. Also, using `torch.empty_like` could slow things down, while alternatives like `torch.empty_strided` might help, but correctness needs to be ensured. I’m thinking about outputting in place versus returning new tensors as an option.
**Considering in-place operations**
I’m thinking about using in-place operations to avoid output allocation, which could save resources. However, this gets tricky, especially if evaluators compare references while using the same input. They probably call the model on the input and reference it on a clone. Although returning the original input after an in-place operation saves on allocations, it still modifies the input. I wonder if mutating the input like this is semantically correct or not, as there could be issues with assumptions made by users.
**Considering in-place operations**
I’m evaluating whether to use in-place operations on inputs. They can change the original data, and while using static inputs keeps things safe, I’m wondering if it’s worth the risk, especially regarding output expectations. The model is supposed to produce specified outputs, and mutating inputs could lead to unintended consequences. It seems wiser to allocate outputs without altering the input. For optimization, I might explore using shared memory for better performance and consider the channel read patterns to find efficiencies in computation.
**Examining performance optimizations**
I’m analyzing the current warp design that processes 32 columns per thread, which seems optimal for memory coalescing. While register usage is high, I’m considering storing 64 values in registers to reduce input re-read. However, that would require more registers, potentially leading to lower occupancy. I might need to explore vectorization to halve the register usage. The runtime stats show L2 bandwidth could be a bottleneck, so I’ll test using registers more efficiently to reduce L2 loads and improve performance. I'll also profile for correctness.
call → profile_kernel
callprofile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n_cpp_src = r\"\"\"\n#include <torch/extension.h>\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\ntorch::Tensor rmsnorm_forward(torch::Tensor x, double eps) { auto y=torch::empty_like(x); rmsnorm_forward_cuda(x,y,eps); return y; }\n\"\"\"\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__global__ void rmsnorm_c64_reg_kernel(const float* __restrict__ x, float* __restrict__ y, int N, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * 64LL * (long long)S + s;\n float v[64];\n float sum=0.f;\n #pragma unroll\n for(int c=0;c<64;c++){ float t=x[base+(long long)c*S]; v[c]=t; sum=fmaf(t,t,sum); }\n float scale=rsqrtf(sum*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c++){ y[base+(long long)c*S]=v[c]*scale; }\n}\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x, float* __restrict__ y, int N, int C, int S, float eps){\n int col=blockIdx.x*blockDim.x+threadIdx.x; int total=N*S; if(col>=total)return; int n=col/S; int s=col-n*S; long long base=((long long)n)*C*(long long)S+s; float sum=0.f; for(int c=0;c<C;c++){float v=x[base+(long long)c*S]; sum=fmaf(v,v,sum);} float scale=rsqrtf(sum/(float)C+eps); for(int c=0;c<C;c++){long long idx=base+(long long)c*S; y[idx]=x[idx]*scale;}}\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps){ int N=(int)x.size(0), C=(int)x.size(1); long long Sll=1; for(int i=2;i<x.dim();++i) Sll*=x.size(i); int S=(int)Sll; int total=N*S; const int threads=128; int blocks=(total+threads-1)/threads; cudaStream_t stream=at::cuda::getCurrentCUDAStream(); if(C==64) rmsnorm_c64_reg_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps); else rmsnorm_generic_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,C,S,(float)eps); }\n\"\"\"\n_ext=load_inline(name=\"rmsnorm_ext_reg\", cpp_sources=[_cpp_src], cuda_sources=[_cuda_src], functions=[\"rmsnorm_forward\"], extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"], extra_cflags=[\"-O3\"], verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,num_features:int,eps:float=1e-5): super(ModelNew,self).__init__(); self.num_features=num_features; self.eps=eps\n def forward(self,x:torch.Tensor)->torch.Tensor: return _ext.rmsnorm_forward(x, float(self.eps))\n"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::empty_like 237707.0μs (50%) calls=1
#2: aten::empty_strided 237676.0μs (50%) calls=1
--- Timing ---
GPU time: 5362.46 μs [↑4.6μs REGRESSED]
--- Memory Bandwidth ---
DRAM BW: 2799.5/3350 GB/s (83.6%) [↓0.1% REGRESSED]
read=1401.6 write=1397.8 GB/s
Hit rates: L2=51.1%
--- Compute Throughput ---
Dominant pipe: FP32 util=6.4%
Pipe util: FMA=6.4%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: MEMORY-BOUND
--- Occupancy ---
Achieved: 35.6% [↑0.9% ok]
Eligible warps/cycle: 0.11
WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism
Launch: regs/thread=80, smem/blk=1024B, block=128, grid=229376
--- Memory Access Quality ---
Global ld coalescing: 4.00 sectors/req (4.0x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
long_scoreboard 4141.2% ####################
mio_throttle 201.7% ####################
short_scoreboard 137.0% ####################
--- Optimization Hints ---
-> 4141% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=4.0 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set.
-> Global load coalescing=4.0x (ideal=1.0) -> 4x wasted DRAM BW. Make per-warp accesses contiguous.
--- Delta vs Previous Iteration ---
GPU time: 5357.82→5362.46μs (↑4.64) REGRESSED
DRAM BW%: 83.64→83.57% (↓0.07) REGRESSED
Occupancy: 34.71→35.57% (↑0.85) ok
L2 hit%: 51.12→51.13% (↑0.01) ok
turn 510.8s turn · 10.8s LLM · 0.0s tools
call → profile_kernel
callprofile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n_cpp_src=r\"\"\"\n#include <torch/extension.h>\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\ntorch::Tensor rmsnorm_forward(torch::Tensor x, double eps){auto y=torch::empty_like(x); rmsnorm_forward_cuda(x,y,eps); return y;}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__global__ void rmsnorm_c64_ilp_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int S,float eps){\n int col=blockIdx.x*blockDim.x+threadIdx.x; int total=N*S; if(col>=total)return; int n=col/S; int s=col-n*S; long long base=((long long)n)*64LL*(long long)S+s;\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int c=0;c<64;c+=4){\n float v0=x[base+(long long)(c+0)*S];\n float v1=x[base+(long long)(c+1)*S];\n float v2=x[base+(long long)(c+2)*S];\n float v3=x[base+(long long)(c+3)*S];\n s0=fmaf(v0,v0,s0); s1=fmaf(v1,v1,s1); s2=fmaf(v2,v2,s2); s3=fmaf(v3,v3,s3);\n }\n float sum=(s0+s1)+(s2+s3); float scale=rsqrtf(sum*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c+=4){\n long long i0=base+(long long)(c+0)*S; long long i1=base+(long long)(c+1)*S; long long i2=base+(long long)(c+2)*S; long long i3=base+(long long)(c+3)*S;\n y[i0]=x[i0]*scale; y[i1]=x[i1]*scale; y[i2]=x[i2]*scale; y[i3]=x[i3]*scale;\n }\n}\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int C,int S,float eps){int col=blockIdx.x*blockDim.x+threadIdx.x;int total=N*S;if(col>=total)return;int n=col/S;int s=col-n*S;long long base=((long long)n)*C*(long long)S+s;float sum=0.f;for(int c=0;c<C;c++){float v=x[base+(long long)c*S];sum=fmaf(v,v,sum);}float scale=rsqrtf(sum/(float)C+eps);for(int c=0;c<C;c++){long long idx=base+(long long)c*S;y[idx]=x[idx]*scale;}}\nvoid rmsnorm_forward_cuda(torch::Tensor x,torch::Tensor y,double eps){int N=(int)x.size(0),C=(int)x.size(1); long long Sll=1; for(int i=2;i<x.dim();++i)Sll*=x.size(i); int S=(int)Sll; int total=N*S; const int threads=256; int blocks=(total+threads-1)/threads; cudaStream_t stream=at::cuda::getCurrentCUDAStream(); if(C==64) rmsnorm_c64_ilp_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps); else rmsnorm_generic_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,C,S,(float)eps);}\n\"\"\"\n_ext=load_inline(name=\"rmsnorm_ext_ilp\",cpp_sources=[_cpp_src],cuda_sources=[_cuda_src],functions=[\"rmsnorm_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,num_features:int,eps:float=1e-5): super(ModelNew,self).__init__(); self.num_features=num_features; self.eps=eps\n def forward(self,x:torch.Tensor)->torch.Tensor: return _ext.rmsnorm_forward(x,float(self.eps))\n"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::empty_like 46389.0μs (50%) calls=1
#2: aten::empty_strided 46353.0μs (50%) calls=1
--- Timing ---
GPU time: 5347.65 μs [↓14.8μs ok]
--- Memory Bandwidth ---
DRAM BW: 2807.3/3350 GB/s (83.8%) [↑0.2% ok]
read=1405.5 write=1401.8 GB/s
Hit rates: L2=51.1%
--- Compute Throughput ---
Dominant pipe: FP32 util=6.5% [↑0.1% ok]
Pipe util: FMA=6.5%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: MEMORY-BOUND
--- Occupancy ---
Achieved: 34.8% [↓0.8% REGRESSED]
Eligible warps/cycle: 0.12
WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism
Launch: regs/thread=80, smem/blk=1024B, block=256, grid=114688
--- Memory Access Quality ---
Global ld coalescing: 4.00 sectors/req (4.0x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
long_scoreboard 3609.5% ####################
short_scoreboard 116.0% ####################
mio_throttle 60.1% ############
--- Optimization Hints ---
-> 3610% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=4.0 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set.
-> Global load coalescing=4.0x (ideal=1.0) -> 4x wasted DRAM BW. Make per-warp accesses contiguous.
--- Delta vs Previous Iteration ---
GPU time: 5362.46→5347.65μs (↓14.82) ok
DRAM BW%: 83.57→83.80% (↑0.23) ok
Compute%: 6.42→6.49% (↑0.07) ok
Occupancy: 35.57→34.77% (↓0.80) REGRESSED
Eligible warps/cyc: 0.11→0.12 (↑0.01) ok
turn 615.6s turn · 15.6s 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_cpp_src=r\"\"\"\n#include <torch/extension.h>\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\ntorch::Tensor rmsnorm_forward(torch::Tensor x,double eps){auto y=torch::empty_like(x); rmsnorm_forward_cuda(x,y,eps); return y;}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void rmsnorm_c64_vec4_kernel(const float* __restrict__ x, float* __restrict__ y, int N, int S, float eps){\n int S4 = S >> 2;\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n int total4 = N * S4;\n if (g >= total4) return;\n int n = g / S4;\n int q = g - n * S4;\n long long base4 = ((long long)n) * 64LL * (long long)S4 + q; // float4 index\n const float4* __restrict__ x4 = reinterpret_cast<const float4*>(x);\n float4* __restrict__ y4 = reinterpret_cast<float4*>(y);\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int c=0;c<64;c++){\n float4 v = x4[base4 + (long long)c * S4];\n s0 = fmaf(v.x, v.x, s0);\n s1 = fmaf(v.y, v.y, s1);\n s2 = fmaf(v.z, v.z, s2);\n s3 = fmaf(v.w, v.w, s3);\n }\n float r0=rsqrtf(s0*(1.0f/64.0f)+eps);\n float r1=rsqrtf(s1*(1.0f/64.0f)+eps);\n float r2=rsqrtf(s2*(1.0f/64.0f)+eps);\n float r3=rsqrtf(s3*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c++){\n long long idx = base4 + (long long)c * S4;\n float4 v = x4[idx];\n v.x *= r0; v.y *= r1; v.z *= r2; v.w *= r3;\n y4[idx]=v;\n }\n}\n\n__global__ void rmsnorm_c64_scalar_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int S,float eps){int col=blockIdx.x*blockDim.x+threadIdx.x;int total=N*S;if(col>=total)return;int n=col/S;int s=col-n*S;long long base=((long long)n)*64LL*(long long)S+s;float sum=0.f;#pragma unroll for(int c=0;c<64;c++){float v=x[base+(long long)c*S];sum=fmaf(v,v,sum);}float scale=rsqrtf(sum*(1.0f/64.0f)+eps);#pragma unroll for(int c=0;c<64;c++){long long idx=base+(long long)c*S;y[idx]=x[idx]*scale;}}\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int C,int S,float eps){int col=blockIdx.x*blockDim.x+threadIdx.x;int total=N*S;if(col>=total)return;int n=col/S;int s=col-n*S;long long base=((long long)n)*C*(long long)S+s;float sum=0.f;for(int c=0;c<C;c++){float v=x[base+(long long)c*S];sum=fmaf(v,v,sum);}float scale=rsqrtf(sum/(float)C+eps);for(int c=0;c<C;c++){long long idx=base+(long long)c*S;y[idx]=x[idx]*scale;}}\nvoid rmsnorm_forward_cuda(torch::Tensor x,torch::Tensor y,double eps){int N=(int)x.size(0),C=(int)x.size(1);long long Sll=1;for(int i=2;i<x.dim();++i)Sll*=x.size(i);int S=(int)Sll;cudaStream_t stream=at::cuda::getCurrentCUDAStream();const int threads=256;if(C==64 && (S%4==0)){int total4=N*(S/4);int blocks=(total4+threads-1)/threads;rmsnorm_c64_vec4_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps);}else if(C==64){int total=N*S;int blocks=(total+threads-1)/threads;rmsnorm_c64_scalar_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps);}else{int total=N*S;int blocks=(total+threads-1)/threads;rmsnorm_generic_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,C,S,(float)eps);}}\n\"\"\"\n_ext=load_inline(name=\"rmsnorm_ext_vec4\",cpp_sources=[_cpp_src],cuda_sources=[_cuda_src],functions=[\"rmsnorm_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,num_features:int,eps:float=1e-5): super(ModelNew,self).__init__(); self.num_features=num_features; self.eps=eps\n def forward(self,x:torch.Tensor)->torch.Tensor: return _ext.rmsnorm_forward(x,float(self.eps))\n"
}
result ← run_correctness (fail)
failrun_correctness
run_correctness FAILED: persistent build/lock contention after retries. Please try a different kernel.
turn 711.2s turn · 11.2s LLM · 0.0s tools
reasoning
**Troubleshooting compilation issues**
I think the compile might have failed due to pragmas being on a single line. The error mentions something about lock contention, which seems odd. I should try compiling with a clean name and ensure that I separate the `#pragma` directives, as it can't inline them on the same line. Alright, let’s give it another shot and see if that resolves the issue!
call → compile_kernel
callcompile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n_cpp_src=r\"\"\"\n#include <torch/extension.h>\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\ntorch::Tensor rmsnorm_forward(torch::Tensor x,double eps){auto y=torch::empty_like(x); rmsnorm_forward_cuda(x,y,eps); return y;}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void rmsnorm_c64_vec4_kernel(const float* __restrict__ x, float* __restrict__ y, int N, int S, float eps){\n int S4 = S >> 2;\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n int total4 = N * S4;\n if (g >= total4) return;\n int n = g / S4;\n int q = g - n * S4;\n long long base4 = ((long long)n) * 64LL * (long long)S4 + q;\n const float4* __restrict__ x4 = reinterpret_cast<const float4*>(x);\n float4* __restrict__ y4 = reinterpret_cast<float4*>(y);\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int c=0;c<64;c++){\n float4 v = x4[base4 + (long long)c * S4];\n s0 = fmaf(v.x, v.x, s0);\n s1 = fmaf(v.y, v.y, s1);\n s2 = fmaf(v.z, v.z, s2);\n s3 = fmaf(v.w, v.w, s3);\n }\n float r0=rsqrtf(s0*(1.0f/64.0f)+eps);\n float r1=rsqrtf(s1*(1.0f/64.0f)+eps);\n float r2=rsqrtf(s2*(1.0f/64.0f)+eps);\n float r3=rsqrtf(s3*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c++){\n long long idx = base4 + (long long)c * S4;\n float4 v = x4[idx];\n v.x *= r0; v.y *= r1; v.z *= r2; v.w *= r3;\n y4[idx]=v;\n }\n}\n\n__global__ void rmsnorm_c64_scalar_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int S,float eps){\n int col=blockIdx.x*blockDim.x+threadIdx.x;\n int total=N*S;\n if(col>=total)return;\n int n=col/S;\n int s=col-n*S;\n long long base=((long long)n)*64LL*(long long)S+s;\n float sum=0.f;\n #pragma unroll\n for(int c=0;c<64;c++){\n float v=x[base+(long long)c*S];\n sum=fmaf(v,v,sum);\n }\n float scale=rsqrtf(sum*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c++){\n long long idx=base+(long long)c*S;\n y[idx]=x[idx]*scale;\n }\n}\n\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int C,int S,float eps){\n int col=blockIdx.x*blockDim.x+threadIdx.x;\n int total=N*S;\n if(col>=total)return;\n int n=col/S;\n int s=col-n*S;\n long long base=((long long)n)*C*(long long)S+s;\n float sum=0.f;\n for(int c=0;c<C;c++){\n float v=x[base+(long long)c*S];\n sum=fmaf(v,v,sum);\n }\n float scale=rsqrtf(sum/(float)C+eps);\n for(int c=0;c<C;c++){\n long long idx=base+(long long)c*S;\n y[idx]=x[idx]*scale;\n }\n}\nvoid rmsnorm_forward_cuda(torch::Tensor x,torch::Tensor y,double eps){\n int N=(int)x.size(0),C=(int)x.size(1);\n long long Sll=1;\n for(int i=2;i<x.dim();++i)Sll*=x.size(i);\n int S=(int)Sll;\n cudaStream_t stream=at::cuda::getCurrentCUDAStream();\n const int threads=256;\n if(C==64 && (S%4==0)){\n int total4=N*(S/4);\n int blocks=(total4+threads-1)/threads;\n rmsnorm_c64_vec4_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps);\n }else if(C==64){\n int total=N*S;\n int blocks=(total+threads-1)/threads;\n rmsnorm_c64_scalar_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps);\n }else{\n int total=N*S;\n int blocks=(total+threads-1)/threads;\n rmsnorm_generic_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,C,S,(float)eps);\n }\n}\n\"\"\"\n_ext=load_inline(name=\"rmsnorm_ext_vec4b\",cpp_sources=[_cpp_src],cuda_sources=[_cuda_src],functions=[\"rmsnorm_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,num_features:int,eps:float=1e-5): super(ModelNew,self).__init__(); self.num_features=num_features; self.eps=eps\n def forward(self,x:torch.Tensor)->torch.Tensor: return _ext.rmsnorm_forward(x,float(self.eps))\n"
}
result ← compile_kernel (ok)
okcompile_kernel
compile_kernel PASSED: kernel compiled without errors.
turn 810.1s turn · 10.1s 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_cpp_src=r\"\"\"\n#include <torch/extension.h>\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\ntorch::Tensor rmsnorm_forward(torch::Tensor x,double eps){auto y=torch::empty_like(x); rmsnorm_forward_cuda(x,y,eps); return y;}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void rmsnorm_c64_vec4_kernel(const float* __restrict__ x, float* __restrict__ y, int N, int S, float eps){\n int S4 = S >> 2;\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n int total4 = N * S4;\n if (g >= total4) return;\n int n = g / S4;\n int q = g - n * S4;\n long long base4 = ((long long)n) * 64LL * (long long)S4 + q;\n const float4* __restrict__ x4 = reinterpret_cast<const float4*>(x);\n float4* __restrict__ y4 = reinterpret_cast<float4*>(y);\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int c=0;c<64;c++){\n float4 v = x4[base4 + (long long)c * S4];\n s0 = fmaf(v.x, v.x, s0);\n s1 = fmaf(v.y, v.y, s1);\n s2 = fmaf(v.z, v.z, s2);\n s3 = fmaf(v.w, v.w, s3);\n }\n float r0=rsqrtf(s0*(1.0f/64.0f)+eps);\n float r1=rsqrtf(s1*(1.0f/64.0f)+eps);\n float r2=rsqrtf(s2*(1.0f/64.0f)+eps);\n float r3=rsqrtf(s3*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c++){\n long long idx = base4 + (long long)c * S4;\n float4 v = x4[idx];\n v.x *= r0; v.y *= r1; v.z *= r2; v.w *= r3;\n y4[idx]=v;\n }\n}\n\n__global__ void rmsnorm_c64_scalar_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int S,float eps){\n int col=blockIdx.x*blockDim.x+threadIdx.x;\n int total=N*S;\n if(col>=total)return;\n int n=col/S;\n int s=col-n*S;\n long long base=((long long)n)*64LL*(long long)S+s;\n float sum=0.f;\n #pragma unroll\n for(int c=0;c<64;c++){\n float v=x[base+(long long)c*S];\n sum=fmaf(v,v,sum);\n }\n float scale=rsqrtf(sum*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c++){\n long long idx=base+(long long)c*S;\n y[idx]=x[idx]*scale;\n }\n}\n\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int C,int S,float eps){\n int col=blockIdx.x*blockDim.x+threadIdx.x;\n int total=N*S;\n if(col>=total)return;\n int n=col/S;\n int s=col-n*S;\n long long base=((long long)n)*C*(long long)S+s;\n float sum=0.f;\n for(int c=0;c<C;c++){\n float v=x[base+(long long)c*S];\n sum=fmaf(v,v,sum);\n }\n float scale=rsqrtf(sum/(float)C+eps);\n for(int c=0;c<C;c++){\n long long idx=base+(long long)c*S;\n y[idx]=x[idx]*scale;\n }\n}\nvoid rmsnorm_forward_cuda(torch::Tensor x,torch::Tensor y,double eps){\n int N=(int)x.size(0),C=(int)x.size(1);\n long long Sll=1;\n for(int i=2;i<x.dim();++i)Sll*=x.size(i);\n int S=(int)Sll;\n cudaStream_t stream=at::cuda::getCurrentCUDAStream();\n const int threads=256;\n if(C==64 && (S%4==0)){\n int total4=N*(S/4);\n int blocks=(total4+threads-1)/threads;\n rmsnorm_c64_vec4_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps);\n }else if(C==64){\n int total=N*S;\n int blocks=(total+threads-1)/threads;\n rmsnorm_c64_scalar_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps);\n }else{\n int total=N*S;\n int blocks=(total+threads-1)/threads;\n rmsnorm_generic_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,C,S,(float)eps);\n }\n}\n\"\"\"\n_ext=load_inline(name=\"rmsnorm_ext_vec4c\",cpp_sources=[_cpp_src],cuda_sources=[_cuda_src],functions=[\"rmsnorm_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,num_features:int,eps:float=1e-5): super(ModelNew,self).__init__(); self.num_features=num_features; self.eps=eps\n def forward(self,x:torch.Tensor)->torch.Tensor: return _ext.rmsnorm_forward(x,float(self.eps))\n"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (5 / 5) trials all matched the reference.
Numerical precision: max_abs_err=8.34e-07 mean_abs_err=5.32e-08 max_rel_err=5.40e-07
turn 9 · 1 tool call(s) · 8.9s turn · 8.9s LLM · 6,870 chars (click to expand)
turn 98.9s turn · 8.9s LLM · 0.0s tools
call → profile_kernel
callprofile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n_cpp_src=r\"\"\"\n#include <torch/extension.h>\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\ntorch::Tensor rmsnorm_forward(torch::Tensor x,double eps){auto y=torch::empty_like(x); rmsnorm_forward_cuda(x,y,eps); return y;}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void rmsnorm_c64_vec4_kernel(const float* __restrict__ x, float* __restrict__ y, int N, int S, float eps){\n int S4 = S >> 2;\n int g = blockIdx.x * blockDim.x + threadIdx.x;\n int total4 = N * S4;\n if (g >= total4) return;\n int n = g / S4;\n int q = g - n * S4;\n long long base4 = ((long long)n) * 64LL * (long long)S4 + q;\n const float4* __restrict__ x4 = reinterpret_cast<const float4*>(x);\n float4* __restrict__ y4 = reinterpret_cast<float4*>(y);\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int c=0;c<64;c++){\n float4 v = x4[base4 + (long long)c * S4];\n s0 = fmaf(v.x, v.x, s0);\n s1 = fmaf(v.y, v.y, s1);\n s2 = fmaf(v.z, v.z, s2);\n s3 = fmaf(v.w, v.w, s3);\n }\n float r0=rsqrtf(s0*(1.0f/64.0f)+eps);\n float r1=rsqrtf(s1*(1.0f/64.0f)+eps);\n float r2=rsqrtf(s2*(1.0f/64.0f)+eps);\n float r3=rsqrtf(s3*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c++){\n long long idx = base4 + (long long)c * S4;\n float4 v = x4[idx];\n v.x *= r0; v.y *= r1; v.z *= r2; v.w *= r3;\n y4[idx]=v;\n }\n}\n\n__global__ void rmsnorm_c64_scalar_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int S,float eps){\n int col=blockIdx.x*blockDim.x+threadIdx.x;\n int total=N*S;\n if(col>=total)return;\n int n=col/S;\n int s=col-n*S;\n long long base=((long long)n)*64LL*(long long)S+s;\n float sum=0.f;\n #pragma unroll\n for(int c=0;c<64;c++){\n float v=x[base+(long long)c*S];\n sum=fmaf(v,v,sum);\n }\n float scale=rsqrtf(sum*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c++){\n long long idx=base+(long long)c*S;\n y[idx]=x[idx]*scale;\n }\n}\n\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int C,int S,float eps){\n int col=blockIdx.x*blockDim.x+threadIdx.x;\n int total=N*S;\n if(col>=total)return;\n int n=col/S;\n int s=col-n*S;\n long long base=((long long)n)*C*(long long)S+s;\n float sum=0.f;\n for(int c=0;c<C;c++){\n float v=x[base+(long long)c*S];\n sum=fmaf(v,v,sum);\n }\n float scale=rsqrtf(sum/(float)C+eps);\n for(int c=0;c<C;c++){\n long long idx=base+(long long)c*S;\n y[idx]=x[idx]*scale;\n }\n}\nvoid rmsnorm_forward_cuda(torch::Tensor x,torch::Tensor y,double eps){\n int N=(int)x.size(0),C=(int)x.size(1);\n long long Sll=1;\n for(int i=2;i<x.dim();++i)Sll*=x.size(i);\n int S=(int)Sll;\n cudaStream_t stream=at::cuda::getCurrentCUDAStream();\n const int threads=256;\n if(C==64 && (S%4==0)){\n int total4=N*(S/4);\n int blocks=(total4+threads-1)/threads;\n rmsnorm_c64_vec4_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps);\n }else if(C==64){\n int total=N*S;\n int blocks=(total+threads-1)/threads;\n rmsnorm_c64_scalar_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps);\n }else{\n int total=N*S;\n int blocks=(total+threads-1)/threads;\n rmsnorm_generic_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,C,S,(float)eps);\n }\n}\n\"\"\"\n_ext=load_inline(name=\"rmsnorm_ext_vec4p\",cpp_sources=[_cpp_src],cuda_sources=[_cuda_src],functions=[\"rmsnorm_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,num_features:int,eps:float=1e-5): super(ModelNew,self).__init__(); self.num_features=num_features; self.eps=eps\n def forward(self,x:torch.Tensor)->torch.Tensor: return _ext.rmsnorm_forward(x,float(self.eps))\n"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::empty_like 196909.0μs (50%) calls=1
#2: aten::empty_strided 196862.0μs (50%) calls=1
--- Timing ---
GPU time: 5532.03 μs [↑184.4μs REGRESSED]
--- Memory Bandwidth ---
DRAM BW: 2870.9/3350 GB/s (85.7%) [↑1.9% ok]
read=1361.1 write=1509.8 GB/s
Hit rates: L2=53.9%
--- Compute Throughput ---
Pipe util: FMA=3.2%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: UNKNOWN
--- Occupancy ---
Achieved: 10.0% [↓24.8% REGRESSED]
Eligible warps/cycle: 0.04
WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism
Launch: regs/thread=255, smem/blk=1024B, block=256, grid=28672
--- Memory Access Quality ---
Global ld coalescing: 16.00 sectors/req (16.0x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
long_scoreboard 3509.6% ####################
short_scoreboard 12.0% ##
--- Optimization Hints ---
-> 3510% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=16.0 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set.
-> Global load coalescing=16.0x (ideal=1.0) -> 16x wasted DRAM BW. Make per-warp accesses contiguous.
-> Low occupancy (10%) limited by registers (255/thread). Consider __launch_bounds__ or reducing register pressure.
--- Delta vs Previous Iteration ---
GPU time: 5347.65→5532.03μs (↑184.38) REGRESSED
DRAM BW%: 83.80→85.70% (↑1.90) ok
Occupancy: 34.77→9.99% (↓24.78) REGRESSED
Eligible warps/cyc: 0.12→0.04 (↓0.08) REGRESSED
Ld sectors/req: 4.00→16.00 (↑12.00) REGRESSED
L2 hit%: 51.13→53.90% (↑2.78) ok
turn 108.0s turn · 8.0s LLM · 0.0s tools
reasoning
**Evaluating register usage**
I’m considering that unrolling the Vec4 operation caused a hefty 255 registers. Maybe I should think about avoiding unrolling entirely or just doing a partial unroll to reduce that register count. Also, it seems like vector loads might not be the best strategy. Should I try using `#pragma unroll 1` for the loops? That could help cut down on the number of registers. Testing different approaches seems necessary here.
call → profile_kernel
callprofile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n_cpp_src=r\"\"\"\n#include <torch/extension.h>\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\ntorch::Tensor rmsnorm_forward(torch::Tensor x,double eps){auto y=torch::empty_like(x); rmsnorm_forward_cuda(x,y,eps); return y;}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__global__ void rmsnorm_c64_vec4_kernel(const float* __restrict__ x, float* __restrict__ y, int N, int S, float eps){\n int S4=S>>2; int g=blockIdx.x*blockDim.x+threadIdx.x; int total4=N*S4; if(g>=total4)return; int n=g/S4; int q=g-n*S4; long long base4=((long long)n)*64LL*(long long)S4+q; const float4* __restrict__ x4=reinterpret_cast<const float4*>(x); float4* __restrict__ y4=reinterpret_cast<float4*>(y);\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll 1\n for(int c=0;c<64;c++){float4 v=x4[base4+(long long)c*S4]; s0=fmaf(v.x,v.x,s0); s1=fmaf(v.y,v.y,s1); s2=fmaf(v.z,v.z,s2); s3=fmaf(v.w,v.w,s3);} \n float r0=rsqrtf(s0*(1.0f/64.0f)+eps), r1=rsqrtf(s1*(1.0f/64.0f)+eps), r2=rsqrtf(s2*(1.0f/64.0f)+eps), r3=rsqrtf(s3*(1.0f/64.0f)+eps);\n #pragma unroll 1\n for(int c=0;c<64;c++){long long idx=base4+(long long)c*S4; float4 v=x4[idx]; v.x*=r0; v.y*=r1; v.z*=r2; v.w*=r3; y4[idx]=v;}\n}\n__global__ void rmsnorm_c64_scalar_kernel(const float* __restrict__ x,float* __restrict__ y,int N,int S,float eps){int col=blockIdx.x*blockDim.x+threadIdx.x;int total=N*S;if(col>=total)return;int n=col/S;int s=col-n*S;long long base=((long long)n)*64LL*(long long)S+s;float sum=0.f; for(int c=0;c<64;c++){float v=x[base+(long long)c*S];sum=fmaf(v,v,sum);}float scale=rsqrtf(sum*(1.0f/64.0f)+eps); for(int c=0;c<64;c++){long long idx=base+(long long)c*S;y[idx]=x[idx]*scale;}}\nvoid rmsnorm_forward_cuda(torch::Tensor x,torch::Tensor y,double eps){int N=(int)x.size(0),C=(int)x.size(1);long long Sll=1;for(int i=2;i<x.dim();++i)Sll*=x.size(i);int S=(int)Sll;cudaStream_t stream=at::cuda::getCurrentCUDAStream();const int threads=256;if(C==64 && (S%4==0)){int total4=N*(S/4);int blocks=(total4+threads-1)/threads;rmsnorm_c64_vec4_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps);}else{int total=N*S;int blocks=(total+threads-1)/threads;rmsnorm_c64_scalar_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),y.data_ptr<float>(),N,S,(float)eps);}}\n\"\"\"\n_ext=load_inline(name=\"rmsnorm_ext_vec4no\",cpp_sources=[_cpp_src],cuda_sources=[_cuda_src],functions=[\"rmsnorm_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,num_features:int,eps:float=1e-5): super(ModelNew,self).__init__(); self.num_features=num_features; self.eps=eps\n def forward(self,x:torch.Tensor)->torch.Tensor: return _ext.rmsnorm_forward(x,float(self.eps))\n"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Kernel Breakdown (by GPU time) ---
#1: aten::empty_like 47052.0μs (50%) calls=1
#2: aten::empty_strided 47018.0μs (50%) calls=1
--- Timing ---
GPU time: 7614.53 μs [↑2082.5μs REGRESSED]
--- Memory Bandwidth ---
DRAM BW: 2959.1/3350 GB/s (88.3%) [↑2.6% ok]
read=1974.2 write=984.9 GB/s
Hit rates: L2=34.1%
--- Compute Throughput ---
Pipe util: FMA=3.4%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: UNKNOWN
--- Occupancy ---
Achieved: 95.8% [↑85.8% ok]
Eligible warps/cycle: 0.05
WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism
Launch: regs/thread=22, smem/blk=1024B, block=256, grid=28672
--- Memory Access Quality ---
Global ld coalescing: 16.00 sectors/req (16.0x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
long_scoreboard 30248.2% ####################
short_scoreboard 7.4% #
mio_throttle 1.8%
--- Optimization Hints ---
-> 30248% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=16.0 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set.
-> Global load coalescing=16.0x (ideal=1.0) -> 16x wasted DRAM BW. Make per-warp accesses contiguous.
--- Delta vs Previous Iteration ---
GPU time: 5532.03→7614.53μs (↑2082.50) REGRESSED
DRAM BW%: 85.70→88.33% (↑2.63) ok
Occupancy: 9.99→95.81% (↑85.82) ok
Eligible warps/cyc: 0.04→0.05 (↑0.01) ok
L2 hit%: 53.90→34.15% (↓19.76) REGRESSED
turn 1113.2s turn · 13.2s LLM · 0.0s tools
reasoning
**Exploring in-place reading**
I'm considering how to write while reading x. Maybe I can read the old x in place and store it. But if I avoid output allocation, there might not be any empty overhead. Return x? I’m unsure about correctness; I should test the in-place reading. I need to check if the kernel signature can return the input. But wait, won't in-place modifications affect correctness? I’ll use the run_correctness tool to help determine that.
call → run_correctness
callrun_correctness
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n_cpp_src=r\"\"\"\n#include <torch/extension.h>\nvoid rmsnorm_inplace_cuda(torch::Tensor x, double eps);\ntorch::Tensor rmsnorm_forward(torch::Tensor x,double eps){rmsnorm_inplace_cuda(x,eps); return x;}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__global__ void rmsnorm_c64_inplace_kernel(float* __restrict__ x,int N,int S,float eps){\n int col=blockIdx.x*blockDim.x+threadIdx.x; int total=N*S; if(col>=total)return; int n=col/S; int s=col-n*S; long long base=((long long)n)*64LL*(long long)S+s;\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int c=0;c<64;c+=4){float v0=x[base+(long long)(c+0)*S];float v1=x[base+(long long)(c+1)*S];float v2=x[base+(long long)(c+2)*S];float v3=x[base+(long long)(c+3)*S];s0=fmaf(v0,v0,s0);s1=fmaf(v1,v1,s1);s2=fmaf(v2,v2,s2);s3=fmaf(v3,v3,s3);} \n float scale=rsqrtf(((s0+s1)+(s2+s3))*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c++){long long idx=base+(long long)c*S; x[idx]=x[idx]*scale;}\n}\nvoid rmsnorm_inplace_cuda(torch::Tensor x,double eps){int N=(int)x.size(0),C=(int)x.size(1);long long Sll=1;for(int i=2;i<x.dim();++i)Sll*=x.size(i);int S=(int)Sll;int total=N*S;const int threads=256;int blocks=(total+threads-1)/threads;cudaStream_t stream=at::cuda::getCurrentCUDAStream();rmsnorm_c64_inplace_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),N,S,(float)eps);}\n\"\"\"\n_ext=load_inline(name=\"rmsnorm_ext_inplace\",cpp_sources=[_cpp_src],cuda_sources=[_cuda_src],functions=[\"rmsnorm_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,num_features:int,eps:float=1e-5): super(ModelNew,self).__init__(); self.num_features=num_features; self.eps=eps\n def forward(self,x:torch.Tensor)->torch.Tensor: return _ext.rmsnorm_forward(x,float(self.eps))\n"
}
result ← run_correctness (ok)
okrun_correctness
run_correctness PASSED: (5 / 5) trials all matched the reference.
Numerical precision: max_abs_err=4.77e-07 mean_abs_err=3.55e-08 max_rel_err=3.57e-07
turn 128.5s turn · 8.5s LLM · 0.0s tools
reasoning
**Evaluating correctness and performance**
I need to finish this task. I think I've found the correct evaluator reference computed before mutation, but I need to ensure it’s allowed, since it mutates the input. Forward semantics typically doesn’t do that. I guess the correctness has passed. A static check could be okay, but I really need to profile it in place. It seems using in-place might be faster since there’s no allocation, but I have to be cautious about modifying the input. Speed is my priority, so profiling is essential.
call → profile_kernel
callprofile_kernel
{
"kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n_cpp_src=r\"\"\"\n#include <torch/extension.h>\nvoid rmsnorm_inplace_cuda(torch::Tensor x, double eps);\ntorch::Tensor rmsnorm_forward(torch::Tensor x,double eps){rmsnorm_inplace_cuda(x,eps); return x;}\n\"\"\"\n_cuda_src=r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n__global__ void rmsnorm_c64_inplace_kernel(float* __restrict__ x,int N,int S,float eps){\n int col=blockIdx.x*blockDim.x+threadIdx.x; int total=N*S; if(col>=total)return; int n=col/S; int s=col-n*S; long long base=((long long)n)*64LL*(long long)S+s;\n float s0=0.f,s1=0.f,s2=0.f,s3=0.f;\n #pragma unroll\n for(int c=0;c<64;c+=4){float v0=x[base+(long long)(c+0)*S];float v1=x[base+(long long)(c+1)*S];float v2=x[base+(long long)(c+2)*S];float v3=x[base+(long long)(c+3)*S];s0=fmaf(v0,v0,s0);s1=fmaf(v1,v1,s1);s2=fmaf(v2,v2,s2);s3=fmaf(v3,v3,s3);} \n float scale=rsqrtf(((s0+s1)+(s2+s3))*(1.0f/64.0f)+eps);\n #pragma unroll\n for(int c=0;c<64;c++){long long idx=base+(long long)c*S; x[idx]=x[idx]*scale;}\n}\nvoid rmsnorm_inplace_cuda(torch::Tensor x,double eps){int N=(int)x.size(0);long long Sll=1;for(int i=2;i<x.dim();++i)Sll*=x.size(i);int S=(int)Sll;int total=N*S;const int threads=256;int blocks=(total+threads-1)/threads;cudaStream_t stream=at::cuda::getCurrentCUDAStream();rmsnorm_c64_inplace_kernel<<<blocks,threads,0,stream>>>(x.data_ptr<float>(),N,S,(float)eps);}\n\"\"\"\n_ext=load_inline(name=\"rmsnorm_ext_inplace_p\",cpp_sources=[_cpp_src],cuda_sources=[_cuda_src],functions=[\"rmsnorm_forward\"],extra_cuda_cflags=[\"-O3\",\"--use_fast_math\"],extra_cflags=[\"-O3\"],verbose=False)\nclass ModelNew(nn.Module):\n def __init__(self,num_features:int,eps:float=1e-5): super(ModelNew,self).__init__(); self.num_features=num_features; self.eps=eps\n def forward(self,x:torch.Tensor)->torch.Tensor: return _ext.rmsnorm_forward(x,float(self.eps))\n"
}
result ← profile_kernel (ok)
okprofile_kernel
profile_kernel PASSED: profiling complete.
=== Kernel Profile Summary ===
--- Timing ---
GPU time: 5609.22 μs [↓2005.3μs ok]
--- Memory Bandwidth ---
DRAM BW: 2676.3/3350 GB/s (79.9%) [↓8.4% REGRESSED]
read=1340.3 write=1336.0 GB/s
Hit rates: L2=50.6%
--- Compute Throughput ---
Pipe util: FMA=4.3%, Tensor=0.0%
--- Roofline Analysis ---
Ridge point (FP32): 20.00 FLOPs/byte
Classification: UNKNOWN
--- Occupancy ---
Achieved: 11.8% [↓84.1% REGRESSED]
Eligible warps/cycle: 0.07
WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism
Launch: regs/thread=163, smem/blk=1024B, block=256, grid=114688
--- Memory Access Quality ---
Global ld coalescing: 4.00 sectors/req (4.0x wasted BW)
--- Warp Stall Reasons (% of issue cycles) ---
long_scoreboard 2315.3% ####################
short_scoreboard 21.4% ####
--- Optimization Hints ---
-> 2315% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=4.0 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set.
-> Global load coalescing=4.0x (ideal=1.0) -> 4x wasted DRAM BW. Make per-warp accesses contiguous.
-> Low occupancy (12%) limited by registers (163/thread). Consider __launch_bounds__ or reducing register pressure.
--- Delta vs Previous Iteration ---
GPU time: 7614.53→5609.22μs (↓2005.31) ok
DRAM BW%: 88.33→79.89% (↓8.44) REGRESSED
Occupancy: 95.81→11.76% (↓84.06) REGRESSED
Eligible warps/cyc: 0.05→0.07 (↑0.02) ok
Ld sectors/req: 16.00→4.00 (↓12.00) ok
L2 hit%: 34.15→50.56% (↑16.41) ok
turn 1311.9s turn · 11.9s LLM · 0.0s tools
call → static_check
callstatic_check
{
"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\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\n\ntorch::Tensor rmsnorm_forward(torch::Tensor x, double eps) {\n auto y = torch::empty_like(x);\n rmsnorm_forward_cuda(x, y, eps);\n return y;\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void rmsnorm_c64_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * 64LL * (long long)S + s;\n\n float s0 = 0.0f, s1 = 0.0f, s2 = 0.0f, s3 = 0.0f;\n #pragma unroll\n for (int c = 0; c < 64; c += 4) {\n float v0 = x[base + (long long)(c + 0) * S];\n float v1 = x[base + (long long)(c + 1) * S];\n float v2 = x[base + (long long)(c + 2) * S];\n float v3 = x[base + (long long)(c + 3) * S];\n s0 = fmaf(v0, v0, s0);\n s1 = fmaf(v1, v1, s1);\n s2 = fmaf(v2, v2, s2);\n s3 = fmaf(v3, v3, s3);\n }\n float scale = rsqrtf(((s0 + s1) + (s2 + s3)) * (1.0f / 64.0f) + eps);\n #pragma unroll\n for (int c = 0; c < 64; c += 4) {\n long long i0 = base + (long long)(c + 0) * S;\n long long i1 = base + (long long)(c + 1) * S;\n long long i2 = base + (long long)(c + 2) * S;\n long long i3 = base + (long long)(c + 3) * S;\n y[i0] = x[i0] * scale;\n y[i1] = x[i1] * scale;\n y[i2] = x[i2] * scale;\n y[i3] = x[i3] * scale;\n }\n}\n\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int C, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * C * (long long)S + s;\n float sum = 0.0f;\n for (int c = 0; c < C; ++c) {\n float v = x[base + (long long)c * S];\n sum = fmaf(v, v, sum);\n }\n float scale = rsqrtf(sum / (float)C + eps);\n for (int c = 0; c < C; ++c) {\n long long idx = base + (long long)c * S;\n y[idx] = x[idx] * scale;\n }\n}\n\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps) {\n int N = (int)x.size(0);\n int C = (int)x.size(1);\n long long Sll = 1;\n for (int i = 2; i < x.dim(); ++i) Sll *= x.size(i);\n int S = (int)Sll;\n int total = N * S;\n const int threads = 256;\n int blocks = (total + threads - 1) / threads;\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (C == 64) {\n rmsnorm_c64_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, S, (float)eps);\n } else {\n rmsnorm_generic_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, C, S, (float)eps);\n }\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"rmsnorm_ext_final\",\n cpp_sources=[_cpp_src],\n cuda_sources=[_cuda_src],\n functions=[\"rmsnorm_forward\"],\n extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"],\n extra_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_features: int, eps: float = 1e-5):\n super(ModelNew, self).__init__()\n self.num_features = num_features\n self.eps = eps\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.rmsnorm_forward(x, float(self.eps))\n"
}
result ← static_check (ok)
okstatic_check
static_check PASSED: no violations or warnings detected.
turn 148.5s turn · 8.5s LLM · 0.0s tools · FINAL
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\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);\n\ntorch::Tensor rmsnorm_forward(torch::Tensor x, double eps) {\n auto y = torch::empty_like(x);\n rmsnorm_forward_cuda(x, y, eps);\n return y;\n}\n\"\"\"\n\n_cuda_src = r\"\"\"\n#include <torch/extension.h>\n#include <ATen/cuda/CUDAContext.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void rmsnorm_c64_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * 64LL * (long long)S + s;\n\n float s0 = 0.0f, s1 = 0.0f, s2 = 0.0f, s3 = 0.0f;\n #pragma unroll\n for (int c = 0; c < 64; c += 4) {\n float v0 = x[base + (long long)(c + 0) * S];\n float v1 = x[base + (long long)(c + 1) * S];\n float v2 = x[base + (long long)(c + 2) * S];\n float v3 = x[base + (long long)(c + 3) * S];\n s0 = fmaf(v0, v0, s0);\n s1 = fmaf(v1, v1, s1);\n s2 = fmaf(v2, v2, s2);\n s3 = fmaf(v3, v3, s3);\n }\n float scale = rsqrtf(((s0 + s1) + (s2 + s3)) * (1.0f / 64.0f) + eps);\n #pragma unroll\n for (int c = 0; c < 64; c += 4) {\n long long i0 = base + (long long)(c + 0) * S;\n long long i1 = base + (long long)(c + 1) * S;\n long long i2 = base + (long long)(c + 2) * S;\n long long i3 = base + (long long)(c + 3) * S;\n y[i0] = x[i0] * scale;\n y[i1] = x[i1] * scale;\n y[i2] = x[i2] * scale;\n y[i3] = x[i3] * scale;\n }\n}\n\n__global__ void rmsnorm_generic_kernel(const float* __restrict__ x, float* __restrict__ y,\n int N, int C, int S, float eps) {\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n int total = N * S;\n if (col >= total) return;\n int n = col / S;\n int s = col - n * S;\n long long base = ((long long)n) * C * (long long)S + s;\n float sum = 0.0f;\n for (int c = 0; c < C; ++c) {\n float v = x[base + (long long)c * S];\n sum = fmaf(v, v, sum);\n }\n float scale = rsqrtf(sum / (float)C + eps);\n for (int c = 0; c < C; ++c) {\n long long idx = base + (long long)c * S;\n y[idx] = x[idx] * scale;\n }\n}\n\nvoid rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps) {\n int N = (int)x.size(0);\n int C = (int)x.size(1);\n long long Sll = 1;\n for (int i = 2; i < x.dim(); ++i) Sll *= x.size(i);\n int S = (int)Sll;\n int total = N * S;\n const int threads = 256;\n int blocks = (total + threads - 1) / threads;\n cudaStream_t stream = at::cuda::getCurrentCUDAStream();\n if (C == 64) {\n rmsnorm_c64_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, S, (float)eps);\n } else {\n rmsnorm_generic_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, C, S, (float)eps);\n }\n}\n\"\"\"\n\n_ext = load_inline(\n name=\"rmsnorm_ext_final\",\n cpp_sources=[_cpp_src],\n cuda_sources=[_cuda_src],\n functions=[\"rmsnorm_forward\"],\n extra_cuda_cflags=[\"-O3\", \"--use_fast_math\"],\n extra_cflags=[\"-O3\"],\n verbose=False,\n)\n\nclass ModelNew(nn.Module):\n def __init__(self, num_features: int, eps: float = 1e-5):\n super(ModelNew, self).__init__()\n self.num_features = num_features\n self.eps = eps\n\n def forward(self, x: torch.Tensor) -> torch.Tensor:\n return _ext.rmsnorm_forward(x, float(self.eps))\n"
}
result ← submit_kernel (ok)
oksubmit_kernel
submit_kernel PASSED: (5 / 5) correctness trials all passed.
Kernel runtime: 5.48 μs
Runtime stats: mean=5.48μs median=?μs std=0.27μs
Numerical precision: max_abs_err=4.77e-07 mean_abs_err=3.55e-08 max_rel_err=3.57e-07
Memory: 14336.0 MB peak (ref: 14448.0 MB, ratio: 0.9922x)
Kernel launches: 2 (ref: 7, fusion ratio: 3.5)
Energy: 726.58 mJ/run (ref: 1695.2 mJ, ratio: 2.3331x)
SOL score: 0.8381
final submitted kernel (114 lines, 3,705 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>
void rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps);
torch::Tensor rmsnorm_forward(torch::Tensor x, double eps) {
auto y = torch::empty_like(x);
rmsnorm_forward_cuda(x, y, eps);
return y;
}
"""
_cuda_src = r"""
#include <torch/extension.h>
#include <ATen/cuda/CUDAContext.h>
#include <cuda.h>
#include <cuda_runtime.h>
__global__ void rmsnorm_c64_kernel(const float* __restrict__ x, float* __restrict__ y,
int N, int S, float eps) {
int col = blockIdx.x * blockDim.x + threadIdx.x;
int total = N * S;
if (col >= total) return;
int n = col / S;
int s = col - n * S;
long long base = ((long long)n) * 64LL * (long long)S + s;
float s0 = 0.0f, s1 = 0.0f, s2 = 0.0f, s3 = 0.0f;
#pragma unroll
for (int c = 0; c < 64; c += 4) {
float v0 = x[base + (long long)(c + 0) * S];
float v1 = x[base + (long long)(c + 1) * S];
float v2 = x[base + (long long)(c + 2) * S];
float v3 = x[base + (long long)(c + 3) * S];
s0 = fmaf(v0, v0, s0);
s1 = fmaf(v1, v1, s1);
s2 = fmaf(v2, v2, s2);
s3 = fmaf(v3, v3, s3);
}
float scale = rsqrtf(((s0 + s1) + (s2 + s3)) * (1.0f / 64.0f) + eps);
#pragma unroll
for (int c = 0; c < 64; c += 4) {
long long i0 = base + (long long)(c + 0) * S;
long long i1 = base + (long long)(c + 1) * S;
long long i2 = base + (long long)(c + 2) * S;
long long i3 = base + (long long)(c + 3) * S;
y[i0] = x[i0] * scale;
y[i1] = x[i1] * scale;
y[i2] = x[i2] * scale;
y[i3] = x[i3] * scale;
}
}
__global__ void rmsnorm_generic_kernel(const float* __restrict__ x, float* __restrict__ y,
int N, int C, int S, float eps) {
int col = blockIdx.x * blockDim.x + threadIdx.x;
int total = N * S;
if (col >= total) return;
int n = col / S;
int s = col - n * S;
long long base = ((long long)n) * C * (long long)S + s;
float sum = 0.0f;
for (int c = 0; c < C; ++c) {
float v = x[base + (long long)c * S];
sum = fmaf(v, v, sum);
}
float scale = rsqrtf(sum / (float)C + eps);
for (int c = 0; c < C; ++c) {
long long idx = base + (long long)c * S;
y[idx] = x[idx] * scale;
}
}
void rmsnorm_forward_cuda(torch::Tensor x, torch::Tensor y, double eps) {
int N = (int)x.size(0);
int C = (int)x.size(1);
long long Sll = 1;
for (int i = 2; i < x.dim(); ++i) Sll *= x.size(i);
int S = (int)Sll;
int total = N * S;
const int threads = 256;
int blocks = (total + threads - 1) / threads;
cudaStream_t stream = at::cuda::getCurrentCUDAStream();
if (C == 64) {
rmsnorm_c64_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, S, (float)eps);
} else {
rmsnorm_generic_kernel<<<blocks, threads, 0, stream>>>(x.data_ptr<float>(), y.data_ptr<float>(), N, C, S, (float)eps);
}
}
"""
_ext = load_inline(
name="rmsnorm_ext_final",
cpp_sources=[_cpp_src],
cuda_sources=[_cuda_src],
functions=["rmsnorm_forward"],
extra_cuda_cflags=["-O3", "--use_fast_math"],
extra_cflags=["-O3"],
verbose=False,
)
class ModelNew(nn.Module):
def __init__(self, num_features: int, eps: float = 1e-5):
super(ModelNew, self).__init__()
self.num_features = num_features
self.eps = eps
def forward(self, x: torch.Tensor) -> torch.Tensor:
return _ext.rmsnorm_forward(x, float(self.eps))