FW-GLM-5-1 · popcorn · pop_l123_all_gpt
correct 26_RoPEKVCacheUpdate.py
model
FW-GLM-5-1
turns / max
13 / 15
tool calls
13
tokens (total)
125029
wall clock
3305.3s
truncated
no
backend
cuda fp32
variant
popcorn
runtime
0.05 μs
ref runtime
3.51 μs
speedup
71.78x
started
2026-05-11T22:23:23Z
timingkernelbench.timing
kernel runtime
0.05 μs
ref runtime
3.51 μs
speedup
71.78x
kernel mean / median / std
0.05 / — / 0.04 μs
ref mean / median / std
3.51 / — / 0.07 μs
numerical precisioneval_kernel_against_ref
max abs error
2.38e-07
mean abs error
6.87e-10
max rel error
6.12e-06
mean rel error
1.60e-09
gpu memoryextended_metrics.measure_memory
kernel peak
33.80 MB
ref peak
33.80 MB
kernel / ref
1.00x
kernel launches / fusiontorch.profiler
kernel launches
13
ref launches
1481
fusion ratio (ref / kernel)
113.92x
total cuda time
332 μs
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.024
dram util %
2.4%
compute util %
0.0%
bottleneck
unknown
dominant pipe
None
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
81.57 GB/s
dram util %
2.4%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
12.4%
bottleneck
unknown
dominant pipe %
—
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
273.0%
ld sectors / req
35.96
st sectors / req
—
regs / thread
80
smem / block
3072 B
block size
272
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
3698.7%
short_scoreboard
1326.2%
flagssubmit_kernel guard
excessive speedup
flagged
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn


class Model(nn.Module):
    """
    Apply rotary position embedding to incoming keys and update the KV cache.

    This isolates a common decode-time kernel: rotate the fresh key vectors for
    the current positions and store both keys and values into the running cache.
    """

    def __init__(self):
        super().__init__()

    def forward(
        self,
        k_new: torch.Tensor,
        v_new: torch.Tensor,
        cos: torch.Tensor,
        sin: torch.Tensor,
        cache_k: torch.Tensor,
        cache_v: torch.Tensor,
        positions: torch.Tensor,
    ) -> torch.Tensor:
        updated_k = cache_k.clone()
        updated_v = cache_v.clone()
        rot_dim = k_new.shape[-1]

        for b in range(k_new.shape[0]):
            for t in range(k_new.shape[1]):
                pos = int(positions[b, t].item())
                c = cos[pos]
                s = sin[pos]
                x = k_new[b, t]
                x_even = x[..., 0::2]
                x_odd = x[..., 1::2]
                rot_even = x_even * c - x_odd * s
                rot_odd = x_even * s + x_odd * c
                rotated = torch.empty_like(x)
                rotated[..., 0::2] = rot_even
                rotated[..., 1::2] = rot_odd
                updated_k[b, pos] = rotated
                updated_v[b, pos] = v_new[b, t]

        return torch.stack((updated_k, updated_v), dim=0)


batch_size = 2
cache_len = 128
update_len = 16
num_heads = 4
head_dim = 32


def _rope_tables(cache_len: int, half_dim: int):
    positions = torch.arange(cache_len, dtype=torch.float32).unsqueeze(1)
    freqs = torch.pow(10000.0, -torch.arange(half_dim, dtype=torch.float32) / half_dim).unsqueeze(0)
    angles = positions * freqs
    return torch.cos(angles), torch.sin(angles)


def get_inputs():
    p = popcorn_pri
    k_new = torch.randn(p.jitter_int(batch_size), p.jitter_int(update_len), p.jitter_int(num_heads), p.jitter_int(head_dim, align=8), dtype=torch.float32)
    v_new = torch.randn(p.jitter_int(batch_size), p.jitter_int(update_len), p.jitter_int(num_heads), p.jitter_int(head_dim, align=8), dtype=torch.float32)
    cos, sin = _rope_tables(p.jitter_int(cache_len), p.jitter_int(head_dim, align=8) // 2)
    cache_k = torch.randn(p.jitter_int(batch_size), p.jitter_int(cache_len), p.jitter_int(num_heads), p.jitter_int(head_dim, align=8), dtype=torch.float32)
    cache_v = torch.randn(p.jitter_int(batch_size), p.jitter_int(cache_len), p.jitter_int(num_heads), p.jitter_int(head_dim, align=8), dtype=torch.float32)
    base = torch.arange(p.jitter_int(update_len), dtype=torch.int32).unsqueeze(0).repeat(p.jitter_int(batch_size), 1)
    positions = (base + torch.tensor([[7], [31]], dtype=torch.int32)) % p.jitter_int(cache_len)
    return [k_new, v_new, cos, sin, cache_k, cache_v, positions]


def get_init_inputs():
    return []
turn 0304.8s turn · 11.9s LLM · 292.9s tools · tokens in=2,449 · out=1,093 · total=3,542
reasoning
Let me analyze this task. I need to write a custom CUDA kernel that replaces the PyTorch reference implementation for rotary position embedding. Looking at the reference: 1. It takes `k_new`, `v_new`, `cos`, `sin`, `cache_k`, `cache_v`, and `positions` as inputs 2. For each batch and each position in the update: - Get the position index from `positions[b, t]` - Apply rotary position embedding to `k_new[b, t]` using `cos[pos]` and `sin[pos]` - Store the rotated key at `updated_k[b, pos]` - Store the value at `updated_v[b, t]` into `updated_v[b, pos]` 3. Return stacked `(updated_k, updated_v)` along dim 0 The rotary embedding operation: - For a vector x, split into even and odd indices - `rot_even = x_even * c - x_odd * s` - `rot_odd = x_even * s + x_odd * c` - Interleave back Let me first understand the shapes: - `k_new`: (batch_size, update_len, num_heads, head_dim) = (2, 16, 4, 32) - `v_new`: same shape - `cos`: (cache_len, head_dim // 2) = (128, 16) - `sin`: same shape - `cache_k`: (batch_size, cache_len, num_heads, head_dim) = (2, 128, 4, 32) - `cache_v`: same shape - `positions`: (batch_size, update_len) = (2, 16) The output is stacked: (2, batch_size, cache_len, num_heads, head_dim) Let me write a CUDA kernel for this. The main operations are: 1. Clone the cache (copy to output) 2. For each (b, t) pair, apply RoPE and scatter to the position The straightforward approach is to parallelize over batch and head dimensions, then process the update positions sequentially within each thread. But given the small batch size and sequence lengths (batch=2, update_len=16, num_heads=4), I could instead assign one thread per (b, t, h) triplet and apply the rotation independently. The rotation itself requires multiplying pairs of consecutive elements by cos/sin values, which is a standard element-wise operation that vectorizes well well on GPU. For the kernel structure, I'll need to handle the position indexing and gather the sin/cos values at each step. The key insight is that the rotation only depends on the position index and head dimension, so threads can work independently without synchronization. The inputs come as float pointers with their dimensions specified separately, and the output follows the same batch-first layout as the input tensors. positions[b * update_len + t]; // For each head for (int h = 0; h < num_heads; h++) { // Get sin/cos for this position const float* c = cos + pos * half_dim; const float* s = sin + pos * half_dim; // Get key vector const float* k_src = k_new + b * update_len * num_heads * head_dim + t * num_heads * head_dim + h * head_dim; // Destination in cache_k float* k_dst = updated_k + b * cache_len * num_heads * head_dim + pos * num_heads * head_dim + h * head_dim; // Apply rotary embedding for (int d = 0; d < half_dim; d++) { float x_even = k_src[d * 2]; float x_odd = k_src[d * 2 + 1]; k_dst[d * 2] = x_even * c[d] - x_odd * s[d]; k_dst[d * 2 + 1] = x_even * s[d] + x_odd * c[d]; } // Copy value const float* v_src = v_new + b * update_len * num_heads * head_dim + t * num_heads * head_dim + h * head_dim; float* v_dst = updated_v + b * cache_len * num_heads * head_dim + pos * num_heads * head_dim + h * head_dim; for (int d = 0; d < head_dim; d++) { v_dst[d] = v_src[d]; } } } } I'm iterating through each batch and time step, looking up the position from the positions array. For each head, I apply the rotary embedding by rotating consecutive pairs of elements using the sin and cos values for that position, then copy over the value vector. A better approach would be to parallelize across (batch, time, head) combinations—assigning each thread to handle one specific b-t-h triplet, which gives us batch_size * update_len * num_heads total threads to work with.
assistantI'll start by understanding the task and getting GPU specs, then write an optimized CUDA kernel for the rotary position embedding operation. Let me first check the GPU specs to understand the hardware:
call → get_gpu_specs
callget_gpu_specs {}
result ← get_gpu_specs (ok)
okget_gpu_specs GPU specs for NVIDIA H100 80GB HBM3: total memory (runtime): 79.1 GB spec entry: H100 GPU Architecture: Hopper GPU Memory: 80GB Memory Bandwidth: 3.35 TB/s FP64 TFLOPS: 34 FP64 Tensor Core TFLOPS: 67 FP32 TFLOPS: 67 TF32 Tensor Core TFLOPS: 989 with sparsity BFLOAT16 Tensore Core TFLOPS: 1979 with sparsity FP16 Tensor Core TFLOPS: 1979 with sparsity FP8 Tensor Core TFLOPS: 3958 with sparsity INT8 Tensor Core TOPS: 3958 with sparsity Register File Size: 64K 32-bit registers per SM Maximum number of registers per thread: 255 Maximum number of thread blocks per SM: 32 Shared memory capacity per SM: 228 KB Maximum shared memory per thread block: 227 KB
turn 1315.7s turn · 11.4s LLM · 304.3s tools · tokens in=2,734 · out=1,146 · total=3,880
reasoning
Now let me write my first kernel. The operation is: 1. Clone cache_k and cache_v 2. For each batch and time step, rotate the key using RoPE 3. Store rotated keys and values at positions specified by positions tensor I'll write a kernel that: 1. First copies the entire cache to output 2. Then for each (batch, time) pair, rotates the key and stores at position Let me start with a simple implementation:
assistantLet me write an initial CUDA kernel for this rotary position embedding operation:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const float* __restrict__ cache_k,\n const float* __restrict__ cache_v,\n const int* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2];\n float x_odd = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2] = rot_even;\n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1] = rot_odd;\n \n // Copy v_new\n out_v[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + d] = v_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new.data_ptr<float>(),\n v_new.data_ptr<float>(),\n cos.data_ptr<float>(),\n sin.data_ptr<float>(),\n cache_k.data_ptr<float>(),\n cache_v.data_ptr<float>(),\n positions.data_ptr<int>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 2365.0s turn · 9.5s LLM · 355.4s tools · tokens in=3,797 · out=1,048 · total=4,845
reasoning
Good, it compiled. Now let me test correctness.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const float* __restrict__ cache_k,\n const float* __restrict__ cache_v,\n const int* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2];\n float x_odd = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2] = rot_even;\n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1] = rot_odd;\n \n // Copy v_new\n out_v[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + d] = v_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new.data_ptr<float>(),\n v_new.data_ptr<float>(),\n cos.data_ptr<float>(),\n sin.data_ptr<float>(),\n cache_k.data_ptr<float>(),\n cache_v.data_ptr<float>(),\n positions.data_ptr<float>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=True\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: kernel did not compile. Error building extension 'rope_update_v1'
turn 3301.3s turn · 9.0s LLM · 292.3s tools · tokens in=4,857 · out=1,052 · total=5,909
reasoning
The kernel didn't compile. Let me check the issue - probably something with the data_ptr types. Let me rewrite this more carefully and fix the data type for positions (should be int, not float).
assistantLet me fix the compilation issues:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const int* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2];\n float x_odd = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2] = rot_even;\n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1] = rot_odd;\n \n // Copy v_new\n out_v[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + d] = v_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new.data_ptr<float>(),\n v_new.data_ptr<float>(),\n cos.data_ptr<float>(),\n sin.data_ptr<float>(),\n positions.data_ptr<int>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update_v2',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 4336.9s turn · 8.6s LLM · 328.2s tools · tokens in=5,881 · out=1,015 · total=6,896
reasoning
Now let me run correctness check on this version.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const int* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2];\n float x_odd = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2] = rot_even;\n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1] = rot_odd;\n \n // Copy v_new\n out_v[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + d] = v_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new.data_ptr<float>(),\n v_new.data_ptr<float>(),\n cos.data_ptr<float>(),\n sin.data_ptr<float>(),\n positions.data_ptr<int>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update_v3',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: ? trials did not all match. runtime_error: expected scalar type Int but found Float
turn 5 · 1 tool call(s) · 354.9s turn · 10.6s LLM · tokens in=6,911 · out=1,212 · total=8,123 · 6,135 chars (click to expand)
turn 5354.9s turn · 10.6s LLM · 344.4s tools · tokens in=6,911 · out=1,212 · total=8,123
reasoning
The issue is that positions tensor is expected to be int32 but we're passing it as float. Looking at the reference implementation, positions are created as torch.int32. But the data_ptr needs to be cast properly. Let me check if positions needs to be converted. Actually looking at the input generation: ```python positions = (base + torch.tensor([[7], [31]], dtype=torch.int32)) % cache_len ``` So positions IS int32. The issue is that I'm calling `positions.data_ptr<int>()` but the tensor might be passed as a different type. Let me ensure the positions tensor is handled correctly by converting it to int32 explicitly or using the right accessor. Let me use `.to(torch.int32)` in the Python side or use a different approach to handle the positions tensor.
assistantThe positions tensor needs to be handled as int32. Let me fix that:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const int32_t* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2];\n float x_odd = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2] = rot_even;\n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1] = rot_odd;\n \n // Copy v_new\n out_v[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + d] = v_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n // Ensure positions is int32\n auto positions_int = positions.to(torch::kInt32);\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new.data_ptr<float>(),\n v_new.data_ptr<float>(),\n cos.data_ptr<float>(),\n sin.data_ptr<float>(),\n positions_int.data_ptr<int32_t>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update_v4',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 6192.3s turn · 8.7s LLM · 183.6s tools · tokens in=7,971 · out=1,042 · total=9,013
reasoning
Good, now let me run the correctness check.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const int32_t* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2];\n float x_odd = k_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2] = rot_even;\n out_k[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + \n d * 2 + 1] = rot_odd;\n \n // Copy v_new\n out_v[batch * cache_len * num_heads * head_dim + \n pos * num_heads * head_dim + \n h * head_dim + d] = v_new[batch * update_len * num_heads * head_dim + \n t * num_heads * head_dim + \n h * head_dim + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n // Ensure positions is int32\n auto positions_int = positions.to(torch::kInt32);\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new.data_ptr<float>(),\n v_new.data_ptr<float>(),\n cos.data_ptr<float>(),\n sin.data_ptr<float>(),\n positions_int.data_ptr<int32_t>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update_v5',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 3) trials did not all match. correctness_issue: Output mismatch max_difference: ['4.689860', '6.029260', '4.446927'] avg_difference: ['0.035194', '0.034857', '0.034713']
turn 7 · 1 tool call(s) · 257.9s turn · 22.9s LLM · tokens in=9,083 · out=2,381 · total=11,464 · 9,862 chars (click to expand)
turn 7257.9s turn · 22.9s LLM · 235.0s tools · tokens in=9,083 · out=2,381 · total=11,464
reasoning
There's a numerical mismatch. Let me debug this. The reference does a clone of the cache and then updates only specific positions. My kernel is doing the same, but there might be an issue with how I'm computing indices or the rotation itself. Wait, I see the issue - I need to make sure all the cache values are properly cloned. The reference clones the entire cache, and my kernel does that too. But maybe there's an issue with how I'm indexing. Actually, let me think about the shapes: - cos: [cache_len, head_dim/2] - sin: [cache_len, head_dim/2] In the reference: - c = cos[pos] gives shape [head_dim/2] - s = sin[pos] gives shape [head_dim/2] So the cos and sin tables have shape [cache_len, head_dim/2], which matches my indexing cos[pos * half_dim + d]. Let me check the position handling. In the reference: ``` pos = int(positions[b, t].item()) ``` positions[b, t] is accessed with batch index b and time index t. positions has shape [batch_size, update_len]. So positions[b, t] gives the position for batch b at time t. My indexing should be correct: positions[batch * update_len + t]. Hmm, let me check if there's a difference in how the rotation is computed. In the reference: ``` x_even = x[..., 0::2] # shape [num_heads, half_dim] x_odd = x[..., 1::2] # shape [num_heads, half_dim] rot_even = x_even * c - x_odd * s rot_odd = x_even * s + x_odd * c rotated[..., 0::2] = rot_even rotated[..., 1::2] = rot_odd ``` So for each head h, the rotation is: - rotated[h, 0::2] = k[h, 0::2] * c - k[h, 1::2] * s - rotated[h, 1::2] = k[h, 0::2] * s + k[h, 1::2] * c Which means for dimension d (in half_dim): - rotated[h, 2*d] = k[h, 2*d] * c[d] - k[h, 2*d+1] * s[d] - rotated[h, 2*d+1] = k[h, 2*d] * s[d] + k[h, 2*d+1] * c[d] This is what I have. Let me check if there's an issue with how the positions are loaded. Wait, the issue might be that my kernel is only launching 2 blocks (for batch_size=2) with 16 threads each (for update_len=16). That means only 32 threads total are launched, and each thread does 4 * 16 = 64 operations. But the kernel is supposed to handle all elements. Actually, I think the issue might be that I'm not copying the rest of the cache correctly. Let me trace through: 1. cache_k is cloned to out_k 2. cache_v is cloned to out_v 3. For each (batch, t) pair, we update out_k[batch, pos] and out_v[batch, pos] That should be correct. But wait, there's an issue - what if positions collide? In the reference: ``` for t in range(k_new.shape[1]): pos = int(positions[b, t].item()) ... updated_k[b, pos] = rotated ``` If there are duplicate positions for the same batch, the last one wins. My CUDA kernel doesn't guarantee ordering because all threads run in parallel. But looking at the test case: ``` base = torch.arange(update_len, dtype=torch.int32).unsqueeze(0).repeat(batch_size, 1) positions = (base + torch.tensor([[7], [31]], dtype=torch.int32)) % cache_len ``` For batch 0: positions = [7, 8, 9, ..., 22] For batch 1: positions = [31, 32, 33, ..., 46] % 128 = [31, 32, 33, ..., 46] So there are no collisions within a batch. That's not the issue. Let me print out more information about what's happening. Actually, let me check if the input data is contiguous. The CUDA kernel assumes contiguous memory layout. If the tensors are not contiguous, the indexing will be wrong. Actually, let me look more carefully at the cos/sin indexing: - cos has shape [cache_len, head_dim/2] - For position `pos`, we access cos[pos] which gives cos[pos, :] = cos.data_ptr<float>() + pos * half_dim That should be correct. Let me try another approach - maybe I should use proper stride-based indexing to handle non-contiguous tensors. Actually, wait. Let me check the test more carefully: ``` cos, sin = _rope_tables(cache_len, head_dim // 2) ``` And _rope_tables: ``` positions = torch.arange(cache_len, dtype=torch.float32).unsqueeze(1) freqs = torch.pow(10000.0, -torch.arange(half_dim, dtype=torch.float32) / half_dim).unsqueeze(0) angles = positions * freqs return torch.cos(angles), torch.sin(angles) ``` So: - positions has shape [cache_len, 1] - freqs has shape [1, half_dim] - angles has shape [cache_len, half_dim] - cos and sin have shape [cache_len, half_dim] So cos[pos] has shape [half_dim], which means cos[pos, d] gives the d-th element. My indexing cos[pos * half_dim + d] should be correct if cos is contiguous. Let me try making the tensors contiguous in the CUDA wrapper.
assistantLet me add some debugging and make sure the tensors are contiguous:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const int32_t* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Calculate strides\n long k_new_stride_b = update_len * num_heads * head_dim;\n long k_new_stride_t = num_heads * head_dim;\n long k_new_stride_h = head_dim;\n \n long cache_stride_b = cache_len * num_heads * head_dim;\n long cache_stride_p = num_heads * head_dim;\n long cache_stride_h = head_dim;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[batch * k_new_stride_b + t * k_new_stride_t + h * k_new_stride_h + d * 2];\n float x_odd = k_new[batch * k_new_stride_b + t * k_new_stride_t + h * k_new_stride_h + d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[batch * cache_stride_b + pos * cache_stride_p + h * cache_stride_h + d * 2] = rot_even;\n out_k[batch * cache_stride_b + pos * cache_stride_p + h * cache_stride_h + d * 2 + 1] = rot_odd;\n \n // Copy v_new\n out_v[batch * cache_stride_b + pos * cache_stride_p + h * cache_stride_h + d] = \n v_new[batch * k_new_stride_b + t * k_new_stride_t + h * k_new_stride_h + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n // Clone caches to output\n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n // Ensure all tensors are contiguous\n auto k_new_c = k_new.contiguous();\n auto v_new_c = v_new.contiguous();\n auto cos_c = cos.contiguous();\n auto sin_c = sin.contiguous();\n auto positions_int = positions.to(torch::kInt32).contiguous();\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new_c.data_ptr<float>(),\n v_new_c.data_ptr<float>(),\n cos_c.data_ptr<float>(),\n sin_c.data_ptr<float>(),\n positions_int.data_ptr<int32_t>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update_v6',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 8192.4s turn · 9.3s LLM · 183.1s tools · tokens in=10,219 · out=1,117 · total=11,336
reasoning
Let me run correctness again.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const int32_t* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Calculate strides\n long k_new_stride_b = update_len * num_heads * head_dim;\n long k_new_stride_t = num_heads * head_dim;\n long k_new_stride_h = head_dim;\n \n long cache_stride_b = cache_len * num_heads * head_dim;\n long cache_stride_p = num_heads * head_dim;\n long cache_stride_h = head_dim;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[batch * k_new_stride_b + t * k_new_stride_t + h * k_new_stride_h + d * 2];\n float x_odd = k_new[batch * k_new_stride_b + t * k_new_stride_t + h * k_new_stride_h + d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[batch * cache_stride_b + pos * cache_stride_p + h * cache_stride_h + d * 2] = rot_even;\n out_k[batch * cache_stride_b + pos * cache_stride_p + h * cache_stride_h + d * 2 + 1] = rot_odd;\n \n // Copy v_new\n out_v[batch * cache_stride_b + pos * cache_stride_p + h * cache_stride_h + d] = \n v_new[batch * k_new_stride_b + t * k_new_stride_t + h * k_new_stride_h + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n // Clone caches to output\n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n // Ensure all tensors are contiguous\n auto k_new_c = k_new.contiguous();\n auto v_new_c = v_new.contiguous();\n auto cos_c = cos.contiguous();\n auto sin_c = sin.contiguous();\n auto positions_int = positions.to(torch::kInt32).contiguous();\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new_c.data_ptr<float>(),\n v_new_c.data_ptr<float>(),\n cos_c.data_ptr<float>(),\n sin_c.data_ptr<float>(),\n positions_int.data_ptr<int32_t>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update_v7',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 3) trials did not all match. correctness_issue: Output mismatch max_difference: ['4.689860', '6.029260', '4.446927'] avg_difference: ['0.035194', '0.034857', '0.034713']
turn 9 · 1 tool call(s) · 236.6s turn · 24.2s LLM · tokens in=11,410 · out=2,837 · total=14,247 · 10,828 chars (click to expand)
turn 9236.6s turn · 24.2s LLM · 212.5s tools · tokens in=11,410 · out=2,837 · total=14,247
reasoning
The output still doesn't match. Let me look more carefully at the reference implementation. Looking at the reference: ```python for b in range(k_new.shape[0]): for t in range(k_new.shape[1]): pos = int(positions[b, t].item()) c = cos[pos] s = sin[pos] x = k_new[b, t] x_even = x[..., 0::2] x_odd = x[..., 1::2] rot_even = x_even * c - x_odd * s rot_odd = x_even * s + x_odd * c rotated = torch.empty_like(x) rotated[..., 0::2] = rot_even rotated[..., 1::2] = rot_odd updated_k[b, pos] = rotated updated_v[b, pos] = v_new[b, t] ``` The shape of k_new is (batch_size, update_len, num_heads, head_dim). So: - x = k_new[b, t] has shape (num_heads, head_dim) - x[..., 0::2] = x[:, 0::2] has shape (num_heads, half_dim) - the even indices across head_dim - x[..., 1::2] = x[:, 1::2] has shape (num_heads, half_dim) - the odd indices across head_dim For cos[pos], it has shape (half_dim,) and it's used to multiply with x_even and x_odd. Wait, I think I see an issue. In the reference: - x_even = x[..., 0::2] means x[:, 0::2] which selects even-indexed elements along the last dimension (head_dim) - Each x_even[h, d] is x[h, 2*d] - Each x_odd[h, d] is x[h, 2*d+1] So when I compute rot_even = x_even * c - x_odd * s, I get: - rot_even[h, d] = x[h, 2*d] * c[d] - x[h, 2*d+1] * s[d] - rot_odd[h, d] = x[h, 2*d] * s[d] + x[h, 2*d+1] * c[d] And then rotated[..., 0::2] = rot_even and rotated[..., 1::2] = rot_odd So: - rotated[h, 2*d] = rot_even[h, d] = x[h, 2*d] * c[d] - x[h, 2*d+1] * s[d] - rotated[h, 2*d+1] = rot_odd[h, d] = x[h, 2*d] * s[d] + x[h, 2*d+1] * c[d] This is exactly what my code does! Let me check the shapes again. cos has shape (cache_len, half_dim). So cos[pos] has shape (half_dim,). Wait, I'm seeing the issue! Looking at _rope_tables: ```python def _rope_tables(cache_len: int, half_dim: int): positions = torch.arange(cache_len, dtype=torch.float32).unsqueeze(1) freqs = torch.pow(10000.0, -torch.arange(half_dim, dtype=torch.float32) / half_dim).unsqueeze(0) angles = positions * freqs return torch.cos(angles), torch.sin(angles) ``` So cos has shape (cache_len, half_dim) since: - positions has shape (cache_len, 1) - freqs has shape (1, half_dim) - angles has shape (cache_len, half_dim) - cos(angles) has shape (cache_len, half_dim) And in the reference, `c = cos[pos]` has shape (half_dim,) and `x[..., 0::2]` has shape (num_heads, half_dim). So the multiplication is broadcast: x_even * c where: - x_even has shape (num_heads, half_dim) - c has shape (half_dim,) - Result has shape (num_heads, half_dim) That means for each head h and dimension d: - rot_even[h, d] = x_even[h, d] * c[d] - x_odd[h, d] * s[d] - rot_odd[h, d] = x_even[h, d] * s[d] + x_odd[h, d] * c[d] Where: - x_even[h, d] = x[h, 2*d] = k_new[b, t, h, 2*d] - x_odd[h, d] = x[h, 2*d+1] = k_new[b, t, h, 2*d+1] - c[d] = cos[pos, d] - s[d] = sin[pos, d] My code looks correct! Let me double-check the indices... Actually, I see the issue now. In my code: ```c++ float c = cos[pos * half_dim + d]; float s = sin[pos * half_dim + d]; ``` This assumes cos and sin are 1D tensors with shape (cache_len * half_dim,). But they're 2D tensors with shape (cache_len, half_dim). When I do `cos.contiguous()`, the data is laid out row-major, so the index should be: - cos[pos, d] is at position pos * half_dim + d (for a contiguous row-major 2D array) That's what I have, so that's correct. Wait, let me check my indexing for x_even and x_odd: ```c++ float x_even = k_new[batch * k_new_stride_b + t * k_new_stride_t + h * k_new_stride_h + d * 2]; float x_odd = k_new[batch * k_new_stride_b + t * k_new_stride_t + h * k_new_stride_h + d * 2 + 1]; ``` k_new has shape (batch_size, update_len, num_heads, head_dim), and k_new[b, t, h, d] is at position: b * (update_len * num_heads * head_dim) + t * (num_heads * head_dim) + h * head_dim + d So k_new[b, t, h, 2*d] is at: b * (update_len * num_heads * head_dim) + t * (num_heads * head_dim) + h * head_dim + 2*d That matches my code. So the indexing seems correct. Let me check if maybe I have a problem with how the cache is copied. The reference does: ```python updated_k = cache_k.clone() updated_v = cache_v.clone() ``` And then updates specific positions. My kernel does the same thing, so the initial state should be correct. Hmm, let me think about what could be wrong... Oh wait! I just realized the reference iterates over k_new.shape[1] which is update_len, and positions has shape (batch_size, update_len). But my kernel's bounds check is: ```c++ if (batch >= batch_size || t >= update_len) return; ``` And `t = threadIdx.x`. With `threads_per_block = update_len = 16` and `num_blocks = batch_size = 2`, this should work... Actually wait - I should check if the kernel is even launching correctly. Let me add some error checking. Actually, let me look at the v_new copy. I only copy half the dimensions: ```c++ // Copy v_new out_v[batch * cache_stride_b + pos * cache_stride_p + h * cache_stride_h + d] = v_new[batch * k_new_stride_b + t * k_new_stride_t + h * k_new_stride_h + d]; ``` This is inside the loop for d in [0, half_dim), so I'm only copying half of the head_dim! That's a bug. I should copy all of head_dim for v_new, not just the first half. Let me fix that:
assistantLet me check the logic more carefully. I think I found the issue - I'm only copying half of the v_new dimensions:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const int32_t* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Calculate strides\n long k_new_stride_b = update_len * num_heads * head_dim;\n long k_new_stride_t = num_heads * head_dim;\n long k_new_stride_h = head_dim;\n \n long cache_stride_b = cache_len * num_heads * head_dim;\n long cache_stride_p = num_heads * head_dim;\n long cache_stride_h = head_dim;\n \n long base_k_new = batch * k_new_stride_b + t * k_new_stride_t;\n long base_cache = batch * cache_stride_b + pos * cache_stride_p;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[base_k_new + h * k_new_stride_h + d * 2];\n float x_odd = k_new[base_k_new + h * k_new_stride_h + d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[base_cache + h * cache_stride_h + d * 2] = rot_even;\n out_k[base_cache + h * cache_stride_h + d * 2 + 1] = rot_odd;\n }\n \n // Copy v_new - copy ALL dimensions\n for (int d = 0; d < head_dim; d++) {\n out_v[base_cache + h * cache_stride_h + d] = \n v_new[base_k_new + h * k_new_stride_h + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n // Clone caches to output\n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n // Ensure all tensors are contiguous\n auto k_new_c = k_new.contiguous();\n auto v_new_c = v_new.contiguous();\n auto cos_c = cos.contiguous();\n auto sin_c = sin.contiguous();\n auto positions_int = positions.to(torch::kInt32).contiguous();\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new_c.data_ptr<float>(),\n v_new_c.data_ptr<float>(),\n cos_c.data_ptr<float>(),\n sin_c.data_ptr<float>(),\n positions_int.data_ptr<int32_t>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update_v8',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 10 · 1 tool call(s) · 184.2s turn · 13.8s LLM · tokens in=12,563 · out=1,603 · total=14,166 · 7,199 chars (click to expand)
turn 10184.2s turn · 13.8s LLM · 170.4s tools · tokens in=12,563 · out=1,603 · total=14,166
reasoning
That wasn't the issue - I'm iterating through half_dim twice. But wait, in my earlier version I was only iterating half_dim for v_new, so let me check if that was the actual issue. But the error says there's a mismatch in all three tensors. Let me think... Actually looking at the PyTorch reference more carefully: - It creates empty tensors `rotated` with the same shape as x - Then it sets rotated[..., 0::2] = rot_even and rotated[..., 1::2] = rot_odd So `rot_even` has shape (half_dim,) and gets written to even indices. `rot_odd` has shape (half_dim,) and gets written to odd indices. My implementation is doing the same thing. But wait - the difference values are relatively small (avg 0.035) compared to the data scale. Let me check if the issue is with cos/sin indexing. Looking at the reference again: ``` positions = torch.arange(cache_len, dtype=torch.float32).unsqueeze(1) freqs = torch.pow(10000.0, -torch.arange(half_dim, dtype=torch.float32) / half_dim).unsqueeze(0) angles = positions * freqs # shape: (cache_len, half_dim) cos, sin = torch.cos(angles), torch.sin(angles) ``` So cos and sin have shape (cache_len, half_dim). And in my kernel: ``` float c = cos[pos * half_dim + d]; float s = sin[pos * half_dim + d]; ``` This assumes cos/sin is contiguous with shape (cache_len, half_dim), which should be correct if it's contiguous. Let me trace through the issue. The PyTorch reference does: ``` for b in range(k_new.shape[0]): for t in range(k_new.shape[1]): pos = int(positions[b, t].item()) c = cos[pos] # shape (half_dim,) s = sin[pos] # shape (half_dim,) ``` So `c = cos[pos]` gets a vector of shape (half_dim,). In my code I access `cos[pos * half_dim + d]`, which should be equivalent. Let me check if there's a coalescing issue or stride problem. Let me add stride handling for cos/sin.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const int32_t* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Calculate strides\n long k_new_stride_b = update_len * num_heads * head_dim;\n long k_new_stride_t = num_heads * head_dim;\n long k_new_stride_h = head_dim;\n \n long cache_stride_b = cache_len * num_heads * head_dim;\n long cache_stride_p = num_heads * head_dim;\n long cache_stride_h = head_dim;\n \n long base_k_new = batch * k_new_stride_b + t * k_new_stride_t;\n long base_cache = batch * cache_stride_b + pos * cache_stride_p;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[base_k_new + h * k_new_stride_h + d * 2];\n float x_odd = k_new[base_k_new + h * k_new_stride_h + d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[base_cache + h * cache_stride_h + d * 2] = rot_even;\n out_k[base_cache + h * cache_stride_h + d * 2 + 1] = rot_odd;\n }\n \n // Copy v_new - copy ALL dimensions\n for (int d = 0; d < head_dim; d++) {\n out_v[base_cache + h * cache_stride_h + d] = \n v_new[base_k_new + h * k_new_stride_h + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n // Clone caches to output\n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n // Ensure all tensors are contiguous\n auto k_new_c = k_new.contiguous();\n auto v_new_c = v_new.contiguous();\n auto cos_c = cos.contiguous();\n auto sin_c = sin.contiguous();\n auto positions_int = positions.to(torch::kInt32).contiguous();\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new_c.data_ptr<float>(),\n v_new_c.data_ptr<float>(),\n cos_c.data_ptr<float>(),\n sin_c.data_ptr<float>(),\n positions_int.data_ptr<int32_t>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update_v9',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=2.38e-07 mean_abs_err=6.87e-10 max_rel_err=6.12e-06
turn 11 · 1 tool call(s) · 156.4s turn · 10.3s LLM · tokens in=13,735 · out=1,148 · total=14,883 · 7,149 chars (click to expand)
turn 11156.4s turn · 10.3s LLM · 146.2s tools · tokens in=13,735 · out=1,148 · total=14,883
reasoning
The kernel is now correct. Now let me profile it to see how it performs and identify optimizations.
assistantThe kernel is now correct. Let me profile it to understand performance:
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const int32_t* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Calculate strides\n long k_new_stride_b = update_len * num_heads * head_dim;\n long k_new_stride_t = num_heads * head_dim;\n long k_new_stride_h = head_dim;\n \n long cache_stride_b = cache_len * num_heads * head_dim;\n long cache_stride_p = num_heads * head_dim;\n long cache_stride_h = head_dim;\n \n long base_k_new = batch * k_new_stride_b + t * k_new_stride_t;\n long base_cache = batch * cache_stride_b + pos * cache_stride_p;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[base_k_new + h * k_new_stride_h + d * 2];\n float x_odd = k_new[base_k_new + h * k_new_stride_h + d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[base_cache + h * cache_stride_h + d * 2] = rot_even;\n out_k[base_cache + h * cache_stride_h + d * 2 + 1] = rot_odd;\n }\n \n // Copy v_new - copy ALL dimensions\n for (int d = 0; d < head_dim; d++) {\n out_v[base_cache + h * cache_stride_h + d] = \n v_new[base_k_new + h * k_new_stride_h + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n // Clone caches to output\n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n // Ensure all tensors are contiguous\n auto k_new_c = k_new.contiguous();\n auto v_new_c = v_new.contiguous();\n auto cos_c = cos.contiguous();\n auto sin_c = sin.contiguous();\n auto positions_int = positions.to(torch::kInt32).contiguous();\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new_c.data_ptr<float>(),\n v_new_c.data_ptr<float>(),\n cos_c.data_ptr<float>(),\n sin_c.data_ptr<float>(),\n positions_int.data_ptr<int32_t>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update_v10',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::to 10953.0μs (27%) calls=1 #2: aten::_to_copy 10944.0μs (27%) calls=1 #3: aten::copy_ 10920.0μs (27%) calls=1 #4: aten::stack 4101.0μs (10%) calls=1 #5: aten::cat 4048.0μs (10%) calls=1 ... +8 more kernels --- Timing --- GPU time: 27.49 μs --- Memory Bandwidth --- DRAM BW: 80.9/3350 GB/s (2.4%) read=80.9 write=0.0 GB/s Hit rates: L2=272.6% --- Compute Throughput --- Pipe util: FMA=0.9%, Tensor=0.0% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: UNKNOWN --- Occupancy --- Achieved: 12.4% Eligible warps/cycle: 0.09 WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism Launch: regs/thread=80, smem/blk=3072B, block=272, grid=131 --- Memory Access Quality --- Global ld coalescing: 35.96 sectors/req (36.0x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 3693.3% #################### short_scoreboard 1330.7% #################### --- Optimization Hints --- -> 3693% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=36.0 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=36.0x (ideal=1.0) -> 36x wasted DRAM BW. Make per-warp accesses contiguous. -> Low occupancy (12%) limited by registers (80/thread). Consider __launch_bounds__ or reducing register pressure. -> Low eligible warps + low BW% + low compute% = LATENCY-BOUND. Need more parallelism (larger grid, more ILP, prefetching).
turn 12 · FINAL · 1 tool call(s) · 106.9s turn · 10.9s LLM · tokens in=15,462 · out=1,263 · total=16,725 · 6,345 chars (click to expand)
turn 12106.9s turn · 10.9s LLM · 96.0s tools · tokens in=15,462 · out=1,263 · total=16,725 · FINAL
reasoning
The kernel is correct and passing. The profiling shows some issues: 1. Low occupancy (12.4%) due to register pressure (80 registers/thread) 2. Memory coalescing issues (36x wasted BW) 3. Latency-bound due to low parallelism However, the main issue is that the `cache_k.clone()` and `cache_v.clone()` operations are expensive (copying the entire cache), and `torch::stack` is also adding overhead. But given that the kernel is correct and the task is to submit, I should submit now. The reference implementation is doing a clone + updates anyway, so the CUDA kernel should be faster. Let me submit the kernel.
assistantThe kernel is correct. Let me submit it now.
call → submit_kernel
callsubmit_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <torch/extension.h>\n\n__global__ void rope_update_kernel(\n const float* __restrict__ k_new,\n const float* __restrict__ v_new,\n const float* __restrict__ cos,\n const float* __restrict__ sin,\n const int32_t* __restrict__ positions,\n float* __restrict__ out_k,\n float* __restrict__ out_v,\n int batch_size,\n int update_len,\n int num_heads,\n int head_dim,\n int cache_len\n) {\n int batch = blockIdx.x;\n int t = threadIdx.x;\n \n if (batch >= batch_size || t >= update_len) return;\n \n int pos = positions[batch * update_len + t];\n int half_dim = head_dim / 2;\n \n // Calculate strides\n long k_new_stride_b = update_len * num_heads * head_dim;\n long k_new_stride_t = num_heads * head_dim;\n long k_new_stride_h = head_dim;\n \n long cache_stride_b = cache_len * num_heads * head_dim;\n long cache_stride_p = num_heads * head_dim;\n long cache_stride_h = head_dim;\n \n long base_k_new = batch * k_new_stride_b + t * k_new_stride_t;\n long base_cache = batch * cache_stride_b + pos * cache_stride_p;\n \n // Copy and rotate k_new[batch, t] to out_k[batch, pos]\n for (int h = 0; h < num_heads; h++) {\n for (int d = 0; d < half_dim; d++) {\n float c = cos[pos * half_dim + d];\n float s = sin[pos * half_dim + d];\n \n float x_even = k_new[base_k_new + h * k_new_stride_h + d * 2];\n float x_odd = k_new[base_k_new + h * k_new_stride_h + d * 2 + 1];\n \n float rot_even = x_even * c - x_odd * s;\n float rot_odd = x_even * s + x_odd * c;\n \n out_k[base_cache + h * cache_stride_h + d * 2] = rot_even;\n out_k[base_cache + h * cache_stride_h + d * 2 + 1] = rot_odd;\n }\n \n // Copy v_new - copy ALL dimensions\n for (int d = 0; d < head_dim; d++) {\n out_v[base_cache + h * cache_stride_h + d] = \n v_new[base_k_new + h * k_new_stride_h + d];\n }\n }\n}\n\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n) {\n int batch_size = cache_k.size(0);\n int cache_len = cache_k.size(1);\n int num_heads = cache_k.size(2);\n int head_dim = cache_k.size(3);\n int update_len = k_new.size(1);\n \n // Clone caches to output\n auto out_k = cache_k.clone();\n auto out_v = cache_v.clone();\n \n // Ensure all tensors are contiguous\n auto k_new_c = k_new.contiguous();\n auto v_new_c = v_new.contiguous();\n auto cos_c = cos.contiguous();\n auto sin_c = sin.contiguous();\n auto positions_int = positions.to(torch::kInt32).contiguous();\n \n int threads_per_block = update_len;\n int num_blocks = batch_size;\n \n rope_update_kernel<<<num_blocks, threads_per_block>>>(\n k_new_c.data_ptr<float>(),\n v_new_c.data_ptr<float>(),\n cos_c.data_ptr<float>(),\n sin_c.data_ptr<float>(),\n positions_int.data_ptr<int32_t>(),\n out_k.data_ptr<float>(),\n out_v.data_ptr<float>(),\n batch_size,\n update_len,\n num_heads,\n head_dim,\n cache_len\n );\n \n return torch::stack({out_k, out_v}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor forward_cuda(\n torch::Tensor k_new,\n torch::Tensor v_new,\n torch::Tensor cos,\n torch::Tensor sin,\n torch::Tensor cache_k,\n torch::Tensor cache_v,\n torch::Tensor positions\n);\n\"\"\"\n\nrope_extension = load_inline(\n name='rope_update_final',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['forward_cuda'],\n extra_cuda_cflags=['-O3'],\n verbose=False\n)\n\nclass ModelNew(nn.Module):\n def __init__(self):\n super().__init__()\n self.op = rope_extension.forward_cuda\n \n def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):\n return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (3 / 3) correctness trials all passed. Kernel runtime: 0.05 μs Runtime stats: mean=0.05μs median=?μs std=0.04μs Numerical precision: max_abs_err=2.38e-07 mean_abs_err=6.87e-10 max_rel_err=6.12e-06 Memory: 33.8 MB peak (ref: 33.8 MB, ratio: 1.0x) Kernel launches: 13 (ref: 1481, fusion ratio: 113.9231) SOL score: 0.0244 Flagged for excessive speedup — this submission may have been rejected by automated review.
final submitted kernel (143 lines, 4,177 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

cuda_source = """
#include <cuda.h>
#include <cuda_runtime.h>
#include <torch/extension.h>

__global__ void rope_update_kernel(
    const float* __restrict__ k_new,
    const float* __restrict__ v_new,
    const float* __restrict__ cos,
    const float* __restrict__ sin,
    const int32_t* __restrict__ positions,
    float* __restrict__ out_k,
    float* __restrict__ out_v,
    int batch_size,
    int update_len,
    int num_heads,
    int head_dim,
    int cache_len
) {
    int batch = blockIdx.x;
    int t = threadIdx.x;
    
    if (batch >= batch_size || t >= update_len) return;
    
    int pos = positions[batch * update_len + t];
    int half_dim = head_dim / 2;
    
    // Calculate strides
    long k_new_stride_b = update_len * num_heads * head_dim;
    long k_new_stride_t = num_heads * head_dim;
    long k_new_stride_h = head_dim;
    
    long cache_stride_b = cache_len * num_heads * head_dim;
    long cache_stride_p = num_heads * head_dim;
    long cache_stride_h = head_dim;
    
    long base_k_new = batch * k_new_stride_b + t * k_new_stride_t;
    long base_cache = batch * cache_stride_b + pos * cache_stride_p;
    
    // Copy and rotate k_new[batch, t] to out_k[batch, pos]
    for (int h = 0; h < num_heads; h++) {
        for (int d = 0; d < half_dim; d++) {
            float c = cos[pos * half_dim + d];
            float s = sin[pos * half_dim + d];
            
            float x_even = k_new[base_k_new + h * k_new_stride_h + d * 2];
            float x_odd = k_new[base_k_new + h * k_new_stride_h + d * 2 + 1];
            
            float rot_even = x_even * c - x_odd * s;
            float rot_odd = x_even * s + x_odd * c;
            
            out_k[base_cache + h * cache_stride_h + d * 2] = rot_even;
            out_k[base_cache + h * cache_stride_h + d * 2 + 1] = rot_odd;
        }
        
        // Copy v_new - copy ALL dimensions
        for (int d = 0; d < head_dim; d++) {
            out_v[base_cache + h * cache_stride_h + d] = 
                v_new[base_k_new + h * k_new_stride_h + d];
        }
    }
}

torch::Tensor forward_cuda(
    torch::Tensor k_new,
    torch::Tensor v_new,
    torch::Tensor cos,
    torch::Tensor sin,
    torch::Tensor cache_k,
    torch::Tensor cache_v,
    torch::Tensor positions
) {
    int batch_size = cache_k.size(0);
    int cache_len = cache_k.size(1);
    int num_heads = cache_k.size(2);
    int head_dim = cache_k.size(3);
    int update_len = k_new.size(1);
    
    // Clone caches to output
    auto out_k = cache_k.clone();
    auto out_v = cache_v.clone();
    
    // Ensure all tensors are contiguous
    auto k_new_c = k_new.contiguous();
    auto v_new_c = v_new.contiguous();
    auto cos_c = cos.contiguous();
    auto sin_c = sin.contiguous();
    auto positions_int = positions.to(torch::kInt32).contiguous();
    
    int threads_per_block = update_len;
    int num_blocks = batch_size;
    
    rope_update_kernel<<<num_blocks, threads_per_block>>>(
        k_new_c.data_ptr<float>(),
        v_new_c.data_ptr<float>(),
        cos_c.data_ptr<float>(),
        sin_c.data_ptr<float>(),
        positions_int.data_ptr<int32_t>(),
        out_k.data_ptr<float>(),
        out_v.data_ptr<float>(),
        batch_size,
        update_len,
        num_heads,
        head_dim,
        cache_len
    );
    
    return torch::stack({out_k, out_v}, 0);
}
"""

cpp_source = """
torch::Tensor forward_cuda(
    torch::Tensor k_new,
    torch::Tensor v_new,
    torch::Tensor cos,
    torch::Tensor sin,
    torch::Tensor cache_k,
    torch::Tensor cache_v,
    torch::Tensor positions
);
"""

rope_extension = load_inline(
    name='rope_update_final',
    cpp_sources=cpp_source,
    cuda_sources=cuda_source,
    functions=['forward_cuda'],
    extra_cuda_cflags=['-O3'],
    verbose=False
)

class ModelNew(nn.Module):
    def __init__(self):
        super().__init__()
        self.op = rope_extension.forward_cuda
    
    def forward(self, k_new, v_new, cos, sin, cache_k, cache_v, positions):
        return self.op(k_new, v_new, cos, sin, cache_k, cache_v, positions)