FW-GLM-5-1 · popcorn · pop_l123_all_gpt
correct 41_VariationalELBO.py
model
FW-GLM-5-1
turns / max
14 / 15
tool calls
14
tokens (total)
312586
wall clock
1465.4s
truncated
no
backend
cuda fp32
variant
popcorn
runtime
0.23 μs
ref runtime
0.36 μs
speedup
1.54x
started
2026-05-11T18:59:54Z
timingkernelbench.timing
kernel runtime
0.23 μs
ref runtime
0.36 μs
speedup
1.54x
kernel mean / median / std
0.23 / — / 7.44e-04 μs
ref mean / median / std
0.36 / — / 0.04 μs
numerical precisioneval_kernel_against_ref
max abs error
1.22e-04
mean abs error
1.19e-05
max rel error
1.18e-06
mean rel error
1.24e-07
gpu memoryextended_metrics.measure_memory
kernel peak
36.66 MB
ref peak
37.60 MB
kernel / ref
0.98x
kernel launches / fusiontorch.profiler
kernel launches
6
ref launches
61
fusion ratio (ref / kernel)
10.17x
total cuda time
160 μs
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.191
dram util %
0.4%
compute util %
19.1%
bottleneck
compute-bound
dominant pipe
FP32
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
12.52 GB/s
dram util %
0.4%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
24.9%
bottleneck
compute-bound
dominant pipe %
19.1%
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
197.2%
ld sectors / req
31.50
st sectors / req
—
regs / thread
76
smem / block
11776 B
block size
512
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
2977.0%
short_scoreboard
80.5%
mio_throttle
0.2%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn
import torch.nn.functional as F


class Model(nn.Module):
    """
    Evidence Lower Bound (ELBO) computation for a Variational Autoencoder.
    Combines a reconstruction term (binary cross-entropy) with the
    KL divergence between the approximate posterior q(z|x) = N(mu, sigma^2)
    and the prior p(z) = N(0, I).  The core loss function in VAE training.
    """

    def __init__(self, input_dim, hidden_dim, latent_dim):
        super().__init__()
        self.encoder = nn.Sequential(
            nn.Linear(input_dim, hidden_dim),
            nn.ReLU(),
        )
        self.fc_mu = nn.Linear(hidden_dim, latent_dim)
        self.fc_logvar = nn.Linear(hidden_dim, latent_dim)

        self.decoder = nn.Sequential(
            nn.Linear(latent_dim, hidden_dim),
            nn.ReLU(),
            nn.Linear(hidden_dim, input_dim),
            nn.Sigmoid(),
        )

    def forward(self, x: torch.Tensor) -> tuple:
        """
        Args:
            x: (B, input_dim) – input data in [0, 1]
        Returns:
            (elbo, recon_loss, kl_div):
                elbo:       (B,)
                recon_loss: (B,)
                kl_div:     (B,)
        """
        h = self.encoder(x)
        mu = self.fc_mu(h)
        logvar = self.fc_logvar(h)

        std = torch.exp(0.5 * logvar)
        z = mu + std * torch.randn_like(std)

        x_recon = self.decoder(z)
        recon = F.binary_cross_entropy(x_recon, x, reduction="none").sum(-1)
        kl = -0.5 * (1 + logvar - mu.pow(2) - logvar.exp()).sum(-1)
        elbo = -(recon + kl)
        return elbo, recon, kl


input_dim = 784
hidden_dim = 256
latent_dim = 32
batch_size = 128


def get_inputs():
    p = popcorn_pri
    return [torch.rand(p.jitter_int(batch_size), input_dim)]


def get_init_inputs():
    return [input_dim, hidden_dim, latent_dim]
turn 041.1s turn · 2.8s LLM · 38.3s tools · tokens in=2,275 · out=131 · total=2,406
reasoning
Let me understand the task. I need to replace the forward computation of a VAE model with a custom CUDA kernel. The model does: 1. Encoder: Linear -> ReLU -> Linear (mu) and Linear (logvar) 2. Reparameterization: z = mu + std * randn, where std = exp(0.5 * logvar) 3. Decoder: Linear -> ReLU -> Linear -> Sigmoid 4. Loss computation: recon = BCE, kl = KL divergence, elbo = -(recon + kl) Let me first get the GPU specs to understand the hardware.
call → get_gpu_specs
callget_gpu_specs {}
result ← get_gpu_specs (ok)
okget_gpu_specs GPU specs for NVIDIA H100 80GB HBM3: total memory (runtime): 79.1 GB spec entry: H100 GPU Architecture: Hopper GPU Memory: 80GB Memory Bandwidth: 3.35 TB/s FP64 TFLOPS: 34 FP64 Tensor Core TFLOPS: 67 FP32 TFLOPS: 67 TF32 Tensor Core TFLOPS: 989 with sparsity BFLOAT16 Tensore Core TFLOPS: 1979 with sparsity FP16 Tensor Core TFLOPS: 1979 with sparsity FP8 Tensor Core TFLOPS: 3958 with sparsity INT8 Tensor Core TOPS: 3958 with sparsity Register File Size: 64K 32-bit registers per SM Maximum number of registers per thread: 255 Maximum number of thread blocks per SM: 32 Shared memory capacity per SM: 228 KB Maximum shared memory per thread block: 227 KB
turn 1 · 1 tool call(s) · 122.2s turn · 41.9s LLM · tokens in=2,523 · out=4,771 · total=7,294 · 19,482 chars (click to expand)
turn 1122.2s turn · 41.9s LLM · 80.2s tools · tokens in=2,523 · out=4,771 · total=7,294
reasoning
Let me understand the model first: - Input: (B, input_dim) = (128, 784) - Encoder: Linear(784, 256) -> ReLU -> Linear(256, 32) for mu, Linear(256, 32) for logvar - Sampling: z = mu + std * randn, where std = exp(0.5 * logvar) - Decoder: Linear(32, 256) -> ReLU -> Linear(256, 784) -> Sigmoid - Output: elbo, recon_loss, kl_div per sample I need to implement: 1. Forward pass through encoder 2. Compute mu and logvar 3. Sample z (with reparameterization) 4. Forward pass through decoder 5. Compute reconstruction loss (BCE) 6. Compute KL divergence 7. Return ELBO This is a relatively complex model with multiple layers. The key optimizations would be: - Fuse operations where possible - Use efficient matrix multiplication (cuBLAS is already optimal) - Fuse the KL divergence computation - Fuse the sigmoid + BCE computation Let me start by writing a complete kernel that handles all the operations.
assistantLet me first understand the model structure and then write an optimized CUDA kernel. I'll start with the implementation.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <curand_kernel.h>\n#include <cmath>\n\n// Sigmoid function\n__device__ __forceinline__ float sigmoid(float x) {\n return 1.0f / (1.0f + expf(-x));\n}\n\n// ReLU function\n__device__ __forceinline__ float relu(float x) {\n return x > 0.0f ? x : 0.0f;\n}\n\n// Initialize random states\n__global__ void init_random_states(curandState* states, unsigned long long seed, int n) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < n) {\n curand_init(seed, idx, 0, &states[idx]);\n }\n}\n\n// Fused encoder: Linear -> ReLU -> Linear (for mu and logvar)\n// Assumes weights are stored in row-major (output_dim x input_dim)\ntemplate <int TILE_SIZE>\n__device__ void fused_encoder(\n const float* __restrict__ input,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n float* __restrict__ hidden,\n float* __restrict__ mu_out,\n float* __restrict__ logvar_out,\n int input_dim, int hidden_dim, int latent_dim,\n int sample_idx) {\n \n // First layer: input_dim -> hidden_dim with ReLU\n for (int h = 0; h < hidden_dim; h++) {\n float sum = enc_bias[h];\n for (int i = 0; i < input_dim; i++) {\n sum += input[sample_idx * input_dim + i] * enc_weight[h * input_dim + i];\n }\n hidden[h] = relu(sum);\n }\n \n // Second layer: hidden_dim -> latent_dim for mu\n for (int l = 0; l < latent_dim; l++) {\n float sum = mu_bias[l];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden[h] * mu_weight[l * hidden_dim + h];\n }\n mu_out[l] = sum;\n }\n \n // Second layer: hidden_dim -> latent_dim for logvar\n for (int l = 0; l < latent_dim; l++) {\n float sum = logvar_bias[l];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden[h] * logvar_weight[l * hidden_dim + h];\n }\n logvar_out[l] = sum;\n }\n}\n\n// Fused decoder: Linear -> ReLU -> Linear -> Sigmoid\n__device__ void fused_decoder(\n const float* __restrict__ z,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n float* __restrict__ hidden,\n float* __restrict__ x_recon,\n int latent_dim, int hidden_dim, int input_dim) {\n \n // First decoder layer: latent_dim -> hidden_dim with ReLU\n for (int h = 0; h < hidden_dim; h++) {\n float sum = dec1_bias[h];\n for (int l = 0; l < latent_dim; l++) {\n sum += z[l] * dec1_weight[h * latent_dim + l];\n }\n hidden[h] = relu(sum);\n }\n \n // Second decoder layer: hidden_dim -> input_dim with Sigmoid\n for (int i = 0; i < input_dim; i++) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden[h] * dec2_weight[i * hidden_dim + h];\n }\n x_recon[i] = sigmoid(sum);\n }\n}\n\n// Compute KL divergence: -0.5 * sum(1 + logvar - mu^2 - exp(logvar))\n__device__ float compute_kl_div(\n const float* __restrict__ mu,\n const float* __restrict__ logvar,\n int latent_dim) {\n \n float kl = 0.0f;\n for (int l = 0; l < latent_dim; l++) {\n float m = mu[l];\n float lv = logvar[l];\n kl += 1.0f + lv - m * m - expf(lv);\n }\n return -0.5f * kl;\n}\n\n// Compute BCE loss: sum(x_recon * log(x_recon) + (1-x) * log(1-x_recon))\n__device__ float compute_bce_loss(\n const float* __restrict__ x_recon,\n const float* __restrict__ x,\n int input_dim) {\n \n float loss = 0.0f;\n for (int i = 0; i < input_dim; i++) {\n float xr = x_recon[i];\n float xi = x[i];\n // BCE = -(xi * log(xr) + (1-xi) * log(1-xr))\n // Use clamp to avoid log(0)\n float log_xr = logf(max(xr, 1e-7f));\n float log_1_xr = logf(max(1.0f - xr, 1e-7f));\n loss -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n return loss;\n}\n\n// Main kernel: one thread per sample\n__global__ void vae_forward_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n curandState* __restrict__ rand_states,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n extern __shared__ float shared_mem[];\n float* hidden_enc = shared_mem; // hidden_dim\n float* mu = &shared_mem[hidden_dim]; // latent_dim\n float* logvar = &shared_mem[hidden_dim + latent_dim]; // latent_dim\n float* z = &shared_mem[hidden_dim + 2 * latent_dim]; // latent_dim\n float* hidden_dec = &shared_mem[hidden_dim + 3 * latent_dim]; // hidden_dim\n float* x_recon = &shared_mem[2 * hidden_dim + 3 * latent_dim]; // input_dim\n \n int sample_idx = blockIdx.x; // One block per sample\n int tid = threadIdx.x;\n \n // Initialize random state for this thread\n curandState local_state = rand_states[sample_idx];\n \n // Only thread 0 does the work for now (can be parallelized further)\n if (tid == 0) {\n // Encoder\n fused_encoder<32>(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n hidden_enc, mu, logvar,\n input_dim, hidden_dim, latent_dim, sample_idx);\n \n // Reparameterization: z = mu + std * epsilon\n for (int l = 0; l < latent_dim; l++) {\n float std = expf(0.5f * logvar[l]);\n float epsilon = curand_normal(&local_state);\n z[l] = mu[l] + std * epsilon;\n }\n \n // Update random state\n rand_states[sample_idx] = local_state;\n \n // Decoder\n fused_decoder(\n z, dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n hidden_dec, x_recon,\n latent_dim, hidden_dim, input_dim);\n \n // Compute losses\n float kl = compute_kl_div(mu, logvar, latent_dim);\n float recon = compute_bce_loss(x_recon, &x[sample_idx * input_dim], input_dim);\n float elbo = -(recon + kl);\n \n elbo_out[sample_idx] = elbo;\n recon_out[sample_idx] = recon;\n kl_out[sample_idx] = kl;\n }\n}\n\n// Parallelized version: use multiple threads per sample for matrix operations\n__global__ void vae_forward_parallel_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n curandState* __restrict__ rand_states,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int sample_idx = blockIdx.x;\n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Shared memory for intermediate results\n extern __shared__ char shared_buf[];\n float* hidden_enc = (float*)shared_buf; // hidden_dim\n float* mu = &hidden_enc[hidden_dim]; // latent_dim\n float* logvar = &mu[latent_dim]; // latent_dim\n float* z = &logvar[latent_dim]; // latent_dim\n float* hidden_dec = &z[latent_dim]; // hidden_dim\n float* x_recon = &hidden_dec[hidden_dim]; // input_dim\n \n const float* x_sample = &x[sample_idx * input_dim];\n \n // Encoder first layer: input_dim -> hidden_dim\n for (int h = tid; h < hidden_dim; h += block_size) {\n float sum = enc_bias[h];\n for (int i = 0; i < input_dim; i++) {\n sum += x_sample[i] * enc_weight[h * input_dim + i];\n }\n hidden_enc[h] = fmaxf(sum, 0.0f); // ReLU\n }\n __syncthreads();\n \n // Mu computation: hidden_dim -> latent_dim\n for (int l = tid; l < latent_dim; l += block_size) {\n float sum = mu_bias[l];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_enc[h] * mu_weight[l * hidden_dim + h];\n }\n mu[l] = sum;\n }\n \n // Logvar computation: hidden_dim -> latent_dim\n for (int l = tid; l < latent_dim; l += block_size) {\n float sum = logvar_bias[l];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_enc[h] * logvar_weight[l * hidden_dim + h];\n }\n logvar[l] = sum;\n }\n __syncthreads();\n \n // Reparameterization sampling\n if (tid < latent_dim) {\n curandState local_state = rand_states[sample_idx * block_size + tid];\n float std = expf(0.5f * logvar[tid]);\n float epsilon = curand_normal(&local_state);\n z[tid] = mu[tid] + std * epsilon;\n rand_states[sample_idx * block_size + tid] = local_state;\n }\n __syncthreads();\n \n // Decoder first layer: latent_dim -> hidden_dim\n for (int h = tid; h < hidden_dim; h += block_size) {\n float sum = dec1_bias[h];\n for (int l = 0; l < latent_dim; l++) {\n sum += z[l] * dec1_weight[h * latent_dim + l];\n }\n hidden_dec[h] = fmaxf(sum, 0.0f); // ReLU\n }\n __syncthreads();\n \n // Decoder second layer: hidden_dim -> input_dim\n for (int i = tid; i < input_dim; i += block_size) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_dec[h] * dec2_weight[i * hidden_dim + h];\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum)); // Sigmoid\n }\n __syncthreads();\n \n // Compute losses in parallel and reduce\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += block_size) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n \n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += block_size) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n \n // Block reduction for KL\n __shared__ float kl_partial[256];\n __shared__ float recon_partial[256];\n kl_partial[tid] = kl_thread;\n recon_partial[tid] = recon_thread;\n __syncthreads();\n \n for (int s = block_size / 2; s > 0; s >>= 1) {\n if (tid < s) {\n kl_partial[tid] += kl_partial[tid + s];\n recon_partial[tid] += recon_partial[tid + s];\n }\n __syncthreads();\n }\n \n if (tid == 0) {\n float kl = -0.5f * kl_partial[0];\n float recon = recon_partial[0];\n float elbo = -(recon + kl);\n \n elbo_out[sample_idx] = elbo;\n recon_out[sample_idx] = recon;\n kl_out[sample_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor rand_states) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::zeros({batch_size}, options);\n auto recon_out = torch::zeros({batch_size}, options);\n auto kl_out = torch::zeros({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n size_t shared_mem_size = (2 * hidden_dim + 4 * latent_dim + input_dim) * sizeof(float);\n \n vae_forward_parallel_kernel<<<blocks, threads, shared_mem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n (curandState*)rand_states.data_ptr<int64_t>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\ntorch::Tensor init_random_states_cuda(int batch_size, int threads_per_sample, unsigned long long seed) {\n int total_threads = batch_size * threads_per_sample;\n auto states = torch::empty({total_threads * sizeof(curandState) / sizeof(int64_t)}, \n torch::TensorOptions().dtype(torch::kInt64).device(torch::kCUDA));\n \n init_random_states<<<(total_threads + 255) / 256, 256>>>(\n (curandState*)states.data_ptr<int64_t>(), seed, total_threads);\n \n return states;\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor rand_states);\n\ntorch::Tensor init_random_states_cuda(int batch_size, int threads_per_sample, unsigned long long seed);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda', 'init_random_states_cuda'],\n extra_cuda_cflags=['-lcurand'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n # Initialize weights same as reference model\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n \n # Cache for random states\n self._rand_states = None\n self._cached_batch_size = 0\n self._threads_per_sample = 256\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n \n # Initialize random states if needed\n if self._rand_states is None or self._cached_batch_size != batch_size:\n self._rand_states = vae_extension.init_random_states_cuda(\n batch_size, self._threads_per_sample, 42)\n self._cached_batch_size = batch_size\n \n # Get weights\n enc_weight = self.encoder[0].weight.detach()\n enc_bias = self.encoder[0].bias.detach()\n mu_weight = self.fc_mu.weight.detach()\n mu_bias = self.fc_mu.bias.detach()\n logvar_weight = self.fc_logvar.weight.detach()\n logvar_bias = self.fc_logvar.bias.detach()\n dec1_weight = self.decoder[0].weight.detach()\n dec1_bias = self.decoder[0].bias.detach()\n dec2_weight = self.decoder[2].weight.detach()\n dec2_bias = self.decoder[2].bias.detach()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n self._rand_states)\n \n return results[0], results[1], results[2]" }
result ← compile_kernel (fail)
failcompile_kernel compile_kernel FAILED: RuntimeError. RuntimeError: Error building extension 'vae_extension'
turn 2 · 1 tool call(s) · 95.3s turn · 21.4s LLM · tokens in=7,067 · out=2,510 · total=9,577 · 10,759 chars (click to expand)
turn 295.3s turn · 21.4s LLM · 74.0s tools · tokens in=7,067 · out=2,510 · total=9,577
reasoning
The compilation failed but I don't see the error message. Let me simplify the kernel and try again. The issue might be with curand or the linking.
assistantLet me try a simpler approach using PyTorch for the random sampling:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Sigmoid function\n__device__ __forceinline__ float sigmoid(float x) {\n return 1.0f / (1.0f + expf(-x));\n}\n\n// ReLU function\n__device__ __forceinline__ float relu(float x) {\n return x > 0.0f ? x : 0.0f;\n}\n\n// Parallelized VAE forward kernel\n// One block per sample, threads collaborate on matrix multiplications\n__global__ void vae_forward_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n const float* __restrict__ epsilon, // Pre-generated random values\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int sample_idx = blockIdx.x;\n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Shared memory for intermediate results\n extern __shared__ char shared_buf[];\n float* hidden_enc = (float*)shared_buf; // hidden_dim\n float* mu = &hidden_enc[hidden_dim]; // latent_dim\n float* logvar = &mu[latent_dim]; // latent_dim\n float* z = &logvar[latent_dim]; // latent_dim\n float* hidden_dec = &z[latent_dim]; // hidden_dim\n float* x_recon = &hidden_dec[hidden_dim]; // input_dim\n \n const float* x_sample = &x[sample_idx * input_dim];\n const float* eps_sample = &epsilon[sample_idx * latent_dim];\n \n // Encoder first layer: input_dim -> hidden_dim\n for (int h = tid; h < hidden_dim; h += block_size) {\n float sum = enc_bias[h];\n for (int i = 0; i < input_dim; i++) {\n sum += x_sample[i] * enc_weight[h * input_dim + i];\n }\n hidden_enc[h] = fmaxf(sum, 0.0f); // ReLU\n }\n __syncthreads();\n \n // Mu computation: hidden_dim -> latent_dim\n for (int l = tid; l < latent_dim; l += block_size) {\n float sum = mu_bias[l];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_enc[h] * mu_weight[l * hidden_dim + h];\n }\n mu[l] = sum;\n }\n \n // Logvar computation: hidden_dim -> latent_dim\n for (int l = tid; l < latent_dim; l += block_size) {\n float sum = logvar_bias[l];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_enc[h] * logvar_weight[l * hidden_dim + h];\n }\n logvar[l] = sum;\n }\n __syncthreads();\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += block_size) {\n float std = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first layer: latent_dim -> hidden_dim\n for (int h = tid; h < hidden_dim; h += block_size) {\n float sum = dec1_bias[h];\n for (int l = 0; l < latent_dim; l++) {\n sum += z[l] * dec1_weight[h * latent_dim + l];\n }\n hidden_dec[h] = fmaxf(sum, 0.0f); // ReLU\n }\n __syncthreads();\n \n // Decoder second layer: hidden_dim -> input_dim\n for (int i = tid; i < input_dim; i += block_size) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_dec[h] * dec2_weight[i * hidden_dim + h];\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum)); // Sigmoid\n }\n __syncthreads();\n \n // Compute losses in parallel and reduce\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += block_size) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n \n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += block_size) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n \n // Block reduction for KL and recon\n __shared__ float kl_partial[256];\n __shared__ float recon_partial[256];\n kl_partial[tid] = kl_thread;\n recon_partial[tid] = recon_thread;\n __syncthreads();\n \n for (int s = block_size / 2; s > 0; s >>= 1) {\n if (tid < s) {\n kl_partial[tid] += kl_partial[tid + s];\n recon_partial[tid] += recon_partial[tid + s];\n }\n __syncthreads();\n }\n \n if (tid == 0) {\n float kl = -0.5f * kl_partial[0];\n float recon = recon_partial[0];\n float elbo = -(recon + kl);\n \n elbo_out[sample_idx] = elbo;\n recon_out[sample_idx] = recon;\n kl_out[sample_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::zeros({batch_size}, options);\n auto recon_out = torch::zeros({batch_size}, options);\n auto kl_out = torch::zeros({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n size_t shared_mem_size = (2 * hidden_dim + 3 * latent_dim + input_dim) * sizeof(float);\n \n vae_forward_kernel<<<blocks, threads, shared_mem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n # Initialize weights same as reference model\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n \n # Generate random epsilon on GPU (same as reference)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n # Get weights (ensure they're contiguous)\n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 3 · 1 tool call(s) · 76.5s turn · 19.3s LLM · tokens in=9,558 · out=2,475 · total=12,033 · 10,622 chars (click to expand)
turn 376.5s turn · 19.3s LLM · 57.3s tools · tokens in=9,558 · out=2,475 · total=12,033
reasoning
Good, compilation passed. Now let me test correctness.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Sigmoid function\n__device__ __forceinline__ float sigmoid(float x) {\n return 1.0f / (1.0f + expf(-x));\n}\n\n// ReLU function\n__device__ __forceinline__ float relu(float x) {\n return x > 0.0f ? x : 0.0f;\n}\n\n// Parallelized VAE forward kernel\n// One block per sample, threads collaborate on matrix multiplications\n__global__ void vae_forward_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n const float* __restrict__ epsilon, // Pre-generated random values\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int sample_idx = blockIdx.x;\n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Shared memory for intermediate results\n extern __shared__ char shared_buf[];\n float* hidden_enc = (float*)shared_buf; // hidden_dim\n float* mu = &hidden_enc[hidden_dim]; // latent_dim\n float* logvar = &mu[latent_dim]; // latent_dim\n float* z = &logvar[latent_dim]; // latent_dim\n float* hidden_dec = &z[latent_dim]; // hidden_dim\n float* x_recon = &hidden_dec[hidden_dim]; // input_dim\n \n const float* x_sample = &x[sample_idx * input_dim];\n const float* eps_sample = &epsilon[sample_idx * latent_dim];\n \n // Encoder first layer: input_dim -> hidden_dim\n for (int h = tid; h < hidden_dim; h += block_size) {\n float sum = enc_bias[h];\n for (int i = 0; i < input_dim; i++) {\n sum += x_sample[i] * enc_weight[h * input_dim + i];\n }\n hidden_enc[h] = fmaxf(sum, 0.0f); // ReLU\n }\n __syncthreads();\n \n // Mu computation: hidden_dim -> latent_dim\n for (int l = tid; l < latent_dim; l += block_size) {\n float sum = mu_bias[l];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_enc[h] * mu_weight[l * hidden_dim + h];\n }\n mu[l] = sum;\n }\n \n // Logvar computation: hidden_dim -> latent_dim\n for (int l = tid; l < latent_dim; l += block_size) {\n float sum = logvar_bias[l];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_enc[h] * logvar_weight[l * hidden_dim + h];\n }\n logvar[l] = sum;\n }\n __syncthreads();\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += block_size) {\n float std = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first layer: latent_dim -> hidden_dim\n for (int h = tid; h < hidden_dim; h += block_size) {\n float sum = dec1_bias[h];\n for (int l = 0; l < latent_dim; l++) {\n sum += z[l] * dec1_weight[h * latent_dim + l];\n }\n hidden_dec[h] = fmaxf(sum, 0.0f); // ReLU\n }\n __syncthreads();\n \n // Decoder second layer: hidden_dim -> input_dim\n for (int i = tid; i < input_dim; i += block_size) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_dec[h] * dec2_weight[i * hidden_dim + h];\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum)); // Sigmoid\n }\n __syncthreads();\n \n // Compute losses in parallel and reduce\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += block_size) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n \n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += block_size) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n \n // Block reduction for KL and recon\n __shared__ float kl_partial[256];\n __shared__ float recon_partial[256];\n kl_partial[tid] = kl_thread;\n recon_partial[tid] = recon_thread;\n __syncthreads();\n \n for (int s = block_size / 2; s > 0; s >>= 1) {\n if (tid < s) {\n kl_partial[tid] += kl_partial[tid + s];\n recon_partial[tid] += recon_partial[tid + s];\n }\n __syncthreads();\n }\n \n if (tid == 0) {\n float kl = -0.5f * kl_partial[0];\n float recon = recon_partial[0];\n float elbo = -(recon + kl);\n \n elbo_out[sample_idx] = elbo;\n recon_out[sample_idx] = recon;\n kl_out[sample_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::zeros({batch_size}, options);\n auto recon_out = torch::zeros({batch_size}, options);\n auto kl_out = torch::zeros({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n size_t shared_mem_size = (2 * hidden_dim + 3 * latent_dim + input_dim) * sizeof(float);\n \n vae_forward_kernel<<<blocks, threads, shared_mem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n # Initialize weights same as reference model\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n \n # Generate random epsilon on GPU (same as reference)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n # Get weights (ensure they're contiguous)\n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=1.22e-04 mean_abs_err=1.19e-05 max_rel_err=1.18e-06
turn 4 · 1 tool call(s) · 193.4s turn · 21.8s LLM · tokens in=12,079 · out=2,543 · total=14,622 · 12,581 chars (click to expand)
turn 4193.4s turn · 21.8s LLM · 171.6s tools · tokens in=12,079 · out=2,543 · total=14,622
reasoning
Great! The kernel compiles and passes correctness! The max absolute error is 1.22e-04 which is within the fp32 tolerance (atol=1e-4, rtol=1e-4). Now let me profile it to see where the performance bottlenecks are.
assistantThe kernel compiles and passes correctness. Let me profile it to understand performance bottlenecks:
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Sigmoid function\n__device__ __forceinline__ float sigmoid(float x) {\n return 1.0f / (1.0f + expf(-x));\n}\n\n// ReLU function\n__device__ __forceinline__ float relu(float x) {\n return x > 0.0f ? x : 0.0f;\n}\n\n// Parallelized VAE forward kernel\n// One block per sample, threads collaborate on matrix multiplications\n__global__ void vae_forward_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n const float* __restrict__ epsilon, // Pre-generated random values\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int sample_idx = blockIdx.x;\n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Shared memory for intermediate results\n extern __shared__ char shared_buf[];\n float* hidden_enc = (float*)shared_buf; // hidden_dim\n float* mu = &hidden_enc[hidden_dim]; // latent_dim\n float* logvar = &mu[latent_dim]; // latent_dim\n float* z = &logvar[latent_dim]; // latent_dim\n float* hidden_dec = &z[latent_dim]; // hidden_dim\n float* x_recon = &hidden_dec[hidden_dim]; // input_dim\n \n const float* x_sample = &x[sample_idx * input_dim];\n const float* eps_sample = &epsilon[sample_idx * latent_dim];\n \n // Encoder first layer: input_dim -> hidden_dim\n for (int h = tid; h < hidden_dim; h += block_size) {\n float sum = enc_bias[h];\n for (int i = 0; i < input_dim; i++) {\n sum += x_sample[i] * enc_weight[h * input_dim + i];\n }\n hidden_enc[h] = fmaxf(sum, 0.0f); // ReLU\n }\n __syncthreads();\n \n // Mu computation: hidden_dim -> latent_dim\n for (int l = tid; l < latent_dim; l += block_size) {\n float sum = mu_bias[l];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_enc[h] * mu_weight[l * hidden_dim + h];\n }\n mu[l] = sum;\n }\n \n // Logvar computation: hidden_dim -> latent_dim\n for (int l = tid; l < latent_dim; l += block_size) {\n float sum = logvar_bias[l];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_enc[h] * logvar_weight[l * hidden_dim + h];\n }\n logvar[l] = sum;\n }\n __syncthreads();\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += block_size) {\n float std = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first layer: latent_dim -> hidden_dim\n for (int h = tid; h < hidden_dim; h += block_size) {\n float sum = dec1_bias[h];\n for (int l = 0; l < latent_dim; l++) {\n sum += z[l] * dec1_weight[h * latent_dim + l];\n }\n hidden_dec[h] = fmaxf(sum, 0.0f); // ReLU\n }\n __syncthreads();\n \n // Decoder second layer: hidden_dim -> input_dim\n for (int i = tid; i < input_dim; i += block_size) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_dec[h] * dec2_weight[i * hidden_dim + h];\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum)); // Sigmoid\n }\n __syncthreads();\n \n // Compute losses in parallel and reduce\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += block_size) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n \n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += block_size) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n \n // Block reduction for KL and recon\n __shared__ float kl_partial[256];\n __shared__ float recon_partial[256];\n kl_partial[tid] = kl_thread;\n recon_partial[tid] = recon_thread;\n __syncthreads();\n \n for (int s = block_size / 2; s > 0; s >>= 1) {\n if (tid < s) {\n kl_partial[tid] += kl_partial[tid + s];\n recon_partial[tid] += recon_partial[tid + s];\n }\n __syncthreads();\n }\n \n if (tid == 0) {\n float kl = -0.5f * kl_partial[0];\n float recon = recon_partial[0];\n float elbo = -(recon + kl);\n \n elbo_out[sample_idx] = elbo;\n recon_out[sample_idx] = recon;\n kl_out[sample_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::zeros({batch_size}, options);\n auto recon_out = torch::zeros({batch_size}, options);\n auto kl_out = torch::zeros({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n size_t shared_mem_size = (2 * hidden_dim + 3 * latent_dim + input_dim) * sizeof(float);\n \n vae_forward_kernel<<<blocks, threads, shared_mem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n # Initialize weights same as reference model\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n \n # Generate random epsilon on GPU (same as reference)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n # Get weights (ensure they're contiguous)\n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::zeros 6779.0μs (28%) calls=1 #2: aten::zero_ 6738.0μs (28%) calls=1 #3: aten::fill_ 6715.0μs (28%) calls=1 #4: aten::randn 1945.0μs (8%) calls=1 #5: aten::normal_ 1875.0μs (8%) calls=1 ... +10 more kernels --- Timing --- GPU time: 239.55 μs --- Memory Bandwidth --- DRAM BW: 17.1/3350 GB/s (0.5%) read=17.1 write=0.0 GB/s Hit rates: L2=496.1% --- Compute Throughput --- Dominant pipe: FP32 util=17.9% Pipe util: FMA=17.9%, Tensor=0.5% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 43.6% Eligible warps/cycle: 0.46 WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism Launch: regs/thread=124, smem/blk=12800B, block=896, grid=147 --- Memory Access Quality --- Global ld coalescing: 21.86 sectors/req (21.9x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 3817.2% #################### short_scoreboard 979.4% #################### --- Optimization Hints --- -> 3817% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=21.9 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=21.9x (ideal=1.0) -> 22x wasted DRAM BW. Make per-warp accesses contiguous. -> Low eligible warps + low BW% + low compute% = LATENCY-BOUND. Need more parallelism (larger grid, more ILP, prefetching). -> Compute-bound but NOT using tensor cores. If applicable, use FP16/BF16 with torch.matmul or WMMA intrinsics.
turn 5 · 1 tool call(s) · 105.8s turn · 31.2s LLM · tokens in=15,153 · out=3,391 · total=18,544 · 14,535 chars (click to expand)
turn 5105.8s turn · 31.2s LLM · 74.6s tools · tokens in=15,153 · out=3,391 · total=18,544
reasoning
The profiling shows several issues: 1. Very high memory latency (long_scoreboard stalls at 3817%!) 2. Very poor global load coalescing (21.9x wasted BW) 3. Low occupancy (43.6%) 4. The memory access pattern is bad The main problem is that when threads access the weight matrices, they're not accessing contiguous memory. Each thread is computing one row of the output, but the weight matrix is row-major. This means when thread h accesses enc_weight[h * input_dim + i], threads access strided locations. Let me think about a better approach: 1. For matrix-vector products (batch_size=128), cuBLAS might be more efficient 2. But we want to fuse operations to reduce memory traffic Actually, let me reconsider the approach. The weight matrices are stored as (out_features, in_features). When doing y = Wx + b: - For each output element j: y[j] = sum_i(W[j,i] * x[i]) + b[j] With threads computing different j values, they access different rows of W, which are contiguous in memory. That should be okay. But the inner loop iterates over i, and each thread reads the entire x vector. Wait, the issue is that multiple threads are reading the same x[i] value, but from different rows of W. This means: - Each x[i] is read by all 256 threads in a block - Each thread reads a different W element The weight access pattern is actually contiguous when threads process adjacent output elements. But since we have 256 threads and only 256 hidden units, each thread processes one hidden unit, so they do access contiguous weight rows. But wait - in the encoder layer, we have 784 inputs and 256 hidden. With 256 threads, each thread computes one hidden unit, so thread h accesses W[h, 0..783]. This means: - Thread 0 accesses W[0,0], W[0,1], W[0,2], ... - Thread 1 accesses W[1,0], W[1,1], W[1,2], ... These are contiguous in memory! Thread 0 reads W[0,0], thread 1 reads W[1,0], etc. These are NOT contiguous - they're 784 floats apart! This is the coalescing problem. Let me fix this by using a different access pattern. Actually, the best approach for small matrix-vector multiplications is to: 1. Load the input vector x into shared memory 2. Have threads cooperatively load the weight matrix tiles 3. Use warp-level reductions for the dot products Let me try a tiled approach using warp-level primitives.
assistantThe profiling shows severe memory latency issues and poor coalescing. The weight matrix access pattern is inefficient. Let me rewrite with a tiled approach using warp-level primitives for better coalescing:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Warp-level reduction for sum\n__device__ __forceinline__ float warp_reduce_sum(float val) {\n #pragma unroll\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_down_sync(0xffffffff, val, offset);\n }\n return val;\n}\n\n// Block-level reduction for sum\n__device__ __forceinline__ float block_reduce_sum(float val, float* shared) {\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n \n // Warp reduce\n val = warp_reduce_sum(val);\n \n // Write warp result to shared memory\n if (lane == 0) {\n shared[wid] = val;\n }\n __syncthreads();\n \n // First warp reduces shared memory\n if (wid == 0) {\n val = (lane < (blockDim.x >> 5)) ? shared[lane] : 0.0f;\n val = warp_reduce_sum(val);\n }\n __syncthreads();\n \n return val;\n}\n\n// Vector-matrix multiplication: y[j] = sum_i(x[i] * W[j,i]) + b[j]\n// W is stored as (out_dim, in_dim) row-major\n// Threads work on output dimension cooperatively\n__device__ void matvec_forward(\n const float* __restrict__ x,\n const float* __restrict__ W,\n const float* __restrict__ b,\n float* __restrict__ y,\n int in_dim, int out_dim,\n float* shared_x, // Shared memory for input vector\n bool apply_relu) {\n \n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Load input vector into shared memory cooperatively\n for (int i = tid; i < in_dim; i += block_size) {\n shared_x[i] = x[i];\n }\n __syncthreads();\n \n // Each thread computes one or more output elements\n for (int j = tid; j < out_dim; j += block_size) {\n float sum = b[j];\n // Dot product with weight row\n for (int i = 0; i < in_dim; i++) {\n sum += shared_x[i] * W[j * in_dim + i];\n }\n y[j] = apply_relu ? fmaxf(sum, 0.0f) : sum;\n }\n __syncthreads();\n}\n\n// Main kernel with fused operations\n__global__ void vae_forward_fused_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n const float* __restrict__ epsilon,\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int sample_idx = blockIdx.x;\n int tid = threadIdx.x;\n \n // Shared memory layout\n extern __shared__ char shared_buf[];\n float* shared_x = (float*)shared_buf; // input_dim\n float* hidden_enc = &shared_x[input_dim]; // hidden_dim\n float* mu = &hidden_enc[hidden_dim]; // latent_dim\n float* logvar = &mu[latent_dim]; // latent_dim\n float* z = &logvar[latent_dim]; // latent_dim\n float* shared_z = &z[latent_dim]; // latent_dim (for decoder)\n float* hidden_dec = &shared_z[latent_dim]; // hidden_dim\n float* x_recon = &hidden_dec[hidden_dim]; // input_dim\n float* reduce_shared = &x_recon[input_dim]; // 8 floats for reduction\n \n const float* x_sample = &x[sample_idx * input_dim];\n const float* eps_sample = &epsilon[sample_idx * latent_dim];\n \n // Encoder first layer: input_dim -> hidden_dim with ReLU\n matvec_forward(x_sample, enc_weight, enc_bias, hidden_enc, \n input_dim, hidden_dim, shared_x, true);\n \n // Compute mu: hidden_dim -> latent_dim (no activation)\n matvec_forward(hidden_enc, mu_weight, mu_bias, mu,\n hidden_dim, latent_dim, shared_x, false);\n \n // Compute logvar: hidden_dim -> latent_dim (no activation)\n matvec_forward(hidden_enc, logvar_weight, logvar_bias, logvar,\n hidden_dim, latent_dim, shared_x, false);\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float std_val = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std_val * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first layer: latent_dim -> hidden_dim with ReLU\n matvec_forward(z, dec1_weight, dec1_bias, hidden_dec,\n latent_dim, hidden_dim, shared_z, true);\n \n // Decoder second layer: hidden_dim -> input_dim with Sigmoid\n // Load hidden_dec to shared memory\n for (int h = tid; h < hidden_dim; h += blockDim.x) {\n shared_x[h] = hidden_dec[h]; // Reuse shared_x\n }\n __syncthreads();\n \n for (int i = tid; i < input_dim; i += blockDim.x) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += shared_x[h] * dec2_weight[i * hidden_dim + h];\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum)); // Sigmoid\n }\n __syncthreads();\n \n // Compute KL divergence: -0.5 * sum(1 + logvar - mu^2 - exp(logvar))\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n float kl_sum = block_reduce_sum(kl_thread, reduce_shared);\n \n // Compute BCE loss: sum over input_dim\n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n // BCE = -(xi * log(xr) + (1-xi) * log(1-xr))\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n float recon_sum = block_reduce_sum(recon_thread, reduce_shared);\n \n if (tid == 0) {\n float kl = -0.5f * kl_sum;\n float recon = recon_sum;\n float elbo = -(recon + kl);\n \n elbo_out[sample_idx] = elbo;\n recon_out[sample_idx] = recon;\n kl_out[sample_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::empty({batch_size}, options);\n auto recon_out = torch::empty({batch_size}, options);\n auto kl_out = torch::empty({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n // Shared memory: input_dim + hidden_dim + latent_dim*3 + latent_dim + hidden_dim + input_dim + 8\n size_t shared_mem_size = (input_dim + 2*hidden_dim + 4*latent_dim + input_dim + 8) * sizeof(float);\n \n vae_forward_fused_kernel<<<blocks, threads, shared_mem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n # Initialize weights same as reference model\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n \n # Generate random epsilon on GPU (same as reference)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n # Get weights (ensure they're contiguous)\n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 6 · 1 tool call(s) · 72.2s turn · 25.2s LLM · tokens in=17,991 · out=2,797 · total=20,788 · 12,085 chars (click to expand)
turn 672.2s turn · 25.2s LLM · 47.1s tools · tokens in=17,991 · out=2,797 · total=20,788
reasoning
Let me test correctness and then profile again.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Warp-level reduction for sum\n__device__ __forceinline__ float warp_reduce_sum(float val) {\n #pragma unroll\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_down_sync(0xffffffff, val, offset);\n }\n return val;\n}\n\n// Block-level reduction for sum\n__device__ __forceinline__ float block_reduce_sum(float val, float* shared) {\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n \n // Warp reduce\n val = warp_reduce_sum(val);\n \n // Write warp result to shared memory\n if (lane == 0) {\n shared[wid] = val;\n }\n __syncthreads();\n \n // First warp reduces shared memory\n if (wid == 0) {\n val = (lane < (blockDim.x >> 5)) ? shared[lane] : 0.0f;\n val = warp_reduce_sum(val);\n }\n __syncthreads();\n \n return val;\n}\n\n// Vector-matrix multiplication: y[j] = sum_i(x[i] * W[j,i]) + b[j]\n// W is stored as (out_dim, in_dim) row-major\n// Threads work on output dimension cooperatively\n__device__ void matvec_forward(\n const float* __restrict__ x,\n const float* __restrict__ W,\n const float* __restrict__ b,\n float* __restrict__ y,\n int in_dim, int out_dim,\n float* shared_x, // Shared memory for input vector\n bool apply_relu) {\n \n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Load input vector into shared memory cooperatively\n for (int i = tid; i < in_dim; i += block_size) {\n shared_x[i] = x[i];\n }\n __syncthreads();\n \n // Each thread computes one or more output elements\n for (int j = tid; j < out_dim; j += block_size) {\n float sum = b[j];\n // Dot product with weight row\n for (int i = 0; i < in_dim; i++) {\n sum += shared_x[i] * W[j * in_dim + i];\n }\n y[j] = apply_relu ? fmaxf(sum, 0.0f) : sum;\n }\n __syncthreads();\n}\n\n// Main kernel with fused operations\n__global__ void vae_forward_fused_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n const float* __restrict__ epsilon,\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int sample_idx = blockIdx.x;\n int tid = threadIdx.x;\n \n // Shared memory layout\n extern __shared__ char shared_buf[];\n float* shared_x = (float*)shared_buf; // input_dim\n float* hidden_enc = &shared_x[input_dim]; // hidden_dim\n float* mu = &hidden_enc[hidden_dim]; // latent_dim\n float* logvar = &mu[latent_dim]; // latent_dim\n float* z = &logvar[latent_dim]; // latent_dim\n float* shared_z = &z[latent_dim]; // latent_dim (for decoder)\n float* hidden_dec = &shared_z[latent_dim]; // hidden_dim\n float* x_recon = &hidden_dec[hidden_dim]; // input_dim\n float* reduce_shared = &x_recon[input_dim]; // 8 floats for reduction\n \n const float* x_sample = &x[sample_idx * input_dim];\n const float* eps_sample = &epsilon[sample_idx * latent_dim];\n \n // Encoder first layer: input_dim -> hidden_dim with ReLU\n matvec_forward(x_sample, enc_weight, enc_bias, hidden_enc, \n input_dim, hidden_dim, shared_x, true);\n \n // Compute mu: hidden_dim -> latent_dim (no activation)\n matvec_forward(hidden_enc, mu_weight, mu_bias, mu,\n hidden_dim, latent_dim, shared_x, false);\n \n // Compute logvar: hidden_dim -> latent_dim (no activation)\n matvec_forward(hidden_enc, logvar_weight, logvar_bias, logvar,\n hidden_dim, latent_dim, shared_x, false);\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float std_val = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std_val * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first layer: latent_dim -> hidden_dim with ReLU\n matvec_forward(z, dec1_weight, dec1_bias, hidden_dec,\n latent_dim, hidden_dim, shared_z, true);\n \n // Decoder second layer: hidden_dim -> input_dim with Sigmoid\n // Load hidden_dec to shared memory\n for (int h = tid; h < hidden_dim; h += blockDim.x) {\n shared_x[h] = hidden_dec[h]; // Reuse shared_x\n }\n __syncthreads();\n \n for (int i = tid; i < input_dim; i += blockDim.x) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += shared_x[h] * dec2_weight[i * hidden_dim + h];\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum)); // Sigmoid\n }\n __syncthreads();\n \n // Compute KL divergence: -0.5 * sum(1 + logvar - mu^2 - exp(logvar))\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n float kl_sum = block_reduce_sum(kl_thread, reduce_shared);\n \n // Compute BCE loss: sum over input_dim\n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n // BCE = -(xi * log(xr) + (1-xi) * log(1-xr))\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n float recon_sum = block_reduce_sum(recon_thread, reduce_shared);\n \n if (tid == 0) {\n float kl = -0.5f * kl_sum;\n float recon = recon_sum;\n float elbo = -(recon + kl);\n \n elbo_out[sample_idx] = elbo;\n recon_out[sample_idx] = recon;\n kl_out[sample_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::empty({batch_size}, options);\n auto recon_out = torch::empty({batch_size}, options);\n auto kl_out = torch::empty({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n // Shared memory: input_dim + hidden_dim + latent_dim*3 + latent_dim + hidden_dim + input_dim + 8\n size_t shared_mem_size = (input_dim + 2*hidden_dim + 4*latent_dim + input_dim + 8) * sizeof(float);\n \n vae_forward_fused_kernel<<<blocks, threads, shared_mem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n # Initialize weights same as reference model\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n \n # Generate random epsilon on GPU (same as reference)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n # Get weights (ensure they're contiguous)\n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=1.22e-04 mean_abs_err=1.30e-05 max_rel_err=1.18e-06
turn 7 · 1 tool call(s) · 113.3s turn · 23.6s LLM · tokens in=20,836 · out=2,805 · total=23,641 · 14,275 chars (click to expand)
turn 7113.3s turn · 23.6s LLM · 89.7s tools · tokens in=20,836 · out=2,805 · total=23,641
reasoning
Correctness passes. Let me profile this version to see if the coalescing improved.
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Warp-level reduction for sum\n__device__ __forceinline__ float warp_reduce_sum(float val) {\n #pragma unroll\n for (int offset = 16; offset > 0; offset >>= 1) {\n val += __shfl_down_sync(0xffffffff, val, offset);\n }\n return val;\n}\n\n// Block-level reduction for sum\n__device__ __forceinline__ float block_reduce_sum(float val, float* shared) {\n int lane = threadIdx.x & 31;\n int wid = threadIdx.x >> 5;\n \n // Warp reduce\n val = warp_reduce_sum(val);\n \n // Write warp result to shared memory\n if (lane == 0) {\n shared[wid] = val;\n }\n __syncthreads();\n \n // First warp reduces shared memory\n if (wid == 0) {\n val = (lane < (blockDim.x >> 5)) ? shared[lane] : 0.0f;\n val = warp_reduce_sum(val);\n }\n __syncthreads();\n \n return val;\n}\n\n// Vector-matrix multiplication: y[j] = sum_i(x[i] * W[j,i]) + b[j]\n// W is stored as (out_dim, in_dim) row-major\n// Threads work on output dimension cooperatively\n__device__ void matvec_forward(\n const float* __restrict__ x,\n const float* __restrict__ W,\n const float* __restrict__ b,\n float* __restrict__ y,\n int in_dim, int out_dim,\n float* shared_x, // Shared memory for input vector\n bool apply_relu) {\n \n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Load input vector into shared memory cooperatively\n for (int i = tid; i < in_dim; i += block_size) {\n shared_x[i] = x[i];\n }\n __syncthreads();\n \n // Each thread computes one or more output elements\n for (int j = tid; j < out_dim; j += block_size) {\n float sum = b[j];\n // Dot product with weight row\n for (int i = 0; i < in_dim; i++) {\n sum += shared_x[i] * W[j * in_dim + i];\n }\n y[j] = apply_relu ? fmaxf(sum, 0.0f) : sum;\n }\n __syncthreads();\n}\n\n// Main kernel with fused operations\n__global__ void vae_forward_fused_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n const float* __restrict__ epsilon,\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int sample_idx = blockIdx.x;\n int tid = threadIdx.x;\n \n // Shared memory layout\n extern __shared__ char shared_buf[];\n float* shared_x = (float*)shared_buf; // input_dim\n float* hidden_enc = &shared_x[input_dim]; // hidden_dim\n float* mu = &hidden_enc[hidden_dim]; // latent_dim\n float* logvar = &mu[latent_dim]; // latent_dim\n float* z = &logvar[latent_dim]; // latent_dim\n float* shared_z = &z[latent_dim]; // latent_dim (for decoder)\n float* hidden_dec = &shared_z[latent_dim]; // hidden_dim\n float* x_recon = &hidden_dec[hidden_dim]; // input_dim\n float* reduce_shared = &x_recon[input_dim]; // 8 floats for reduction\n \n const float* x_sample = &x[sample_idx * input_dim];\n const float* eps_sample = &epsilon[sample_idx * latent_dim];\n \n // Encoder first layer: input_dim -> hidden_dim with ReLU\n matvec_forward(x_sample, enc_weight, enc_bias, hidden_enc, \n input_dim, hidden_dim, shared_x, true);\n \n // Compute mu: hidden_dim -> latent_dim (no activation)\n matvec_forward(hidden_enc, mu_weight, mu_bias, mu,\n hidden_dim, latent_dim, shared_x, false);\n \n // Compute logvar: hidden_dim -> latent_dim (no activation)\n matvec_forward(hidden_enc, logvar_weight, logvar_bias, logvar,\n hidden_dim, latent_dim, shared_x, false);\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float std_val = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std_val * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first layer: latent_dim -> hidden_dim with ReLU\n matvec_forward(z, dec1_weight, dec1_bias, hidden_dec,\n latent_dim, hidden_dim, shared_z, true);\n \n // Decoder second layer: hidden_dim -> input_dim with Sigmoid\n // Load hidden_dec to shared memory\n for (int h = tid; h < hidden_dim; h += blockDim.x) {\n shared_x[h] = hidden_dec[h]; // Reuse shared_x\n }\n __syncthreads();\n \n for (int i = tid; i < input_dim; i += blockDim.x) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += shared_x[h] * dec2_weight[i * hidden_dim + h];\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum)); // Sigmoid\n }\n __syncthreads();\n \n // Compute KL divergence: -0.5 * sum(1 + logvar - mu^2 - exp(logvar))\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n float kl_sum = block_reduce_sum(kl_thread, reduce_shared);\n \n // Compute BCE loss: sum over input_dim\n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n // BCE = -(xi * log(xr) + (1-xi) * log(1-xr))\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n float recon_sum = block_reduce_sum(recon_thread, reduce_shared);\n \n if (tid == 0) {\n float kl = -0.5f * kl_sum;\n float recon = recon_sum;\n float elbo = -(recon + kl);\n \n elbo_out[sample_idx] = elbo;\n recon_out[sample_idx] = recon;\n kl_out[sample_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::empty({batch_size}, options);\n auto recon_out = torch::empty({batch_size}, options);\n auto kl_out = torch::empty({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n // Shared memory: input_dim + hidden_dim + latent_dim*3 + latent_dim + hidden_dim + input_dim + 8\n size_t shared_mem_size = (input_dim + 2*hidden_dim + 4*latent_dim + input_dim + 8) * sizeof(float);\n \n vae_forward_fused_kernel<<<blocks, threads, shared_mem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n # Initialize weights same as reference model\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n \n # Generate random epsilon on GPU (same as reference)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n # Get weights (ensure they're contiguous)\n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::randn 3713.0μs (50%) calls=1 #2: aten::normal_ 3614.0μs (49%) calls=1 #3: aten::empty 22.0μs (0%) calls=1 #4: aten::empty 15.0μs (0%) calls=1 #5: aten::empty 4.0μs (0%) calls=1 ... +1 more kernels --- Timing --- GPU time: 224.83 μs [↓14.7μs ok] --- Memory Bandwidth --- DRAM BW: 12.8/3350 GB/s (0.4%) [↓0.1% REGRESSED] read=12.8 write=0.0 GB/s Hit rates: L2=193.5% --- Compute Throughput --- Dominant pipe: FP32 util=16.6% [↓1.4% REGRESSED] Pipe util: FMA=16.6%, Tensor=0.5% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 25.0% [↓18.7% REGRESSED] Eligible warps/cycle: 0.38 WARNING: <1 eligible warp/cycle = latency-bound, needs more parallelism Launch: regs/thread=76, smem/blk=11008B, block=512, grid=144 --- Memory Access Quality --- Global ld coalescing: 31.50 sectors/req (31.5x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 4994.4% #################### short_scoreboard 113.4% #################### --- Optimization Hints --- -> 4994% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=31.5 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=31.5x (ideal=1.0) -> 31x wasted DRAM BW. Make per-warp accesses contiguous. -> Low occupancy (25%) limited by registers (76/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). -> Compute-bound but NOT using tensor cores. If applicable, use FP16/BF16 with torch.matmul or WMMA intrinsics. --- Delta vs Previous Iteration --- GPU time: 239.55→224.83μs (↓14.72) ok DRAM BW%: 0.51→0.38% (↓0.13) REGRESSED Compute%: 17.93→16.57% (↓1.36) REGRESSED Occupancy: 43.62→24.95% (↓18.67) REGRESSED Eligible warps/cyc: 0.46→0.38 (↓0.08) REGRESSED Ld sectors/req: 21.86→31.50 (↑9.63) REGRESSED L2 hit%: 496.14→193.55% (↓302.59) REGRESSED
turn 8 · 1 tool call(s) · 105.3s turn · 26.4s LLM · tokens in=24,442 · out=3,008 · total=27,450 · 13,057 chars (click to expand)
turn 8105.3s turn · 26.4s LLM · 78.9s tools · tokens in=24,442 · out=3,008 · total=27,450
reasoning
The profile shows the main issues: 1. The `aten::randn` takes 50% of the time! This is the random number generation. 2. Low occupancy (25%) limited by registers 3. Very poor coalescing (31.5x wasted bandwidth) The weight matrices are being accessed row-by-row, which means we're making non-coalesced accesses. We need to restructure the access pattern or prefetch weights. Let me try a different approach: 1. Use a warp-cooperative approach where each warp handles a row of weights 2. Prefetch weights using __ldg or texture cache 3. Use vectorized loads where possible Actually, the main issue is that `aten::randn` dominates the runtime. Let me check if we can optimize the overall kernel to be faster despite the randn overhead. The key insight is that the random number generation takes ~3.7ms while the actual computation is only ~0.2ms. This means the bottleneck is actually PyTorch's randn operation, not our CUDA kernel! Let me try a different approach - batch all samples together to get better coalescing for weight access.
assistantThe profiling shows that `aten::randn` (random number generation) takes 50% of the time! The kernel itself is only ~200μs but randn is ~3700μs. Let me try a batched approach with better memory access patterns for weights:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Fused VAE forward - batched approach for better memory access\n// Uses tiled matrix-vector multiplication\n\ntemplate<int BLOCK_SIZE>\n__device__ float block_reduce_sum(float val) {\n __shared__ float shared[BLOCK_SIZE];\n int tid = threadIdx.x;\n \n shared[tid] = val;\n __syncthreads();\n \n for (int s = BLOCK_SIZE / 2; s > 0; s >>= 1) {\n if (tid < s) {\n shared[tid] += shared[tid + s];\n }\n __syncthreads();\n }\n \n return shared[0];\n}\n\n// Vector-matrix multiply: each thread handles multiple output elements\n// W is (out_dim, in_dim), input x is vector\n// Threads load x cooperatively into shared memory\n__device__ void matvec(\n const float* __restrict__ x, // Input vector (in shared memory or global)\n const float* __restrict__ W, // Weight matrix (out_dim x in_dim)\n const float* __restrict__ bias, // Bias vector (out_dim)\n float* __restrict__ y, // Output vector\n int in_dim, int out_dim,\n bool apply_relu,\n bool x_in_shared, // Is x already in shared memory?\n float* shared_scratch) { // Scratch space for loading x if needed\n \n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Load x into shared memory if needed\n if (!x_in_shared) {\n for (int i = tid; i < in_dim; i += block_size) {\n shared_scratch[i] = x[i];\n }\n __syncthreads();\n x = shared_scratch; // Use shared memory version\n }\n \n // Each thread computes one or more output elements\n for (int j = tid; j < out_dim; j += block_size) {\n float sum = bias[j];\n \n // Use __ldg for read-only weight access (cache in L1/texture cache)\n for (int i = 0; i < in_dim; i++) {\n sum += x[i] * __ldg(&W[j * in_dim + i]);\n }\n \n y[j] = apply_relu ? fmaxf(sum, 0.0f) : sum;\n }\n __syncthreads();\n}\n\n__global__ void vae_forward_batched_kernel(\n const float* __restrict__ x, // (batch, input_dim)\n const float* __restrict__ enc_weight, // (hidden_dim, input_dim)\n const float* __restrict__ enc_bias, // (hidden_dim)\n const float* __restrict__ mu_weight, // (latent_dim, hidden_dim)\n const float* __restrict__ mu_bias, // (latent_dim)\n const float* __restrict__ logvar_weight, // (latent_dim, hidden_dim)\n const float* __restrict__ logvar_bias, // (latent_dim)\n const float* __restrict__ dec1_weight, // (hidden_dim, latent_dim)\n const float* __restrict__ dec1_bias, // (hidden_dim)\n const float* __restrict__ dec2_weight, // (input_dim, hidden_dim)\n const float* __restrict__ dec2_bias, // (input_dim)\n const float* __restrict__ epsilon, // (batch, latent_dim)\n float* __restrict__ elbo_out, // (batch)\n float* __restrict__ recon_out, // (batch)\n float* __restrict__ kl_out, // (batch)\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int batch_idx = blockIdx.x;\n int tid = threadIdx.x;\n \n if (batch_idx >= batch_size) return;\n \n // Allocate shared memory for intermediate buffers\n extern __shared__ char smem[];\n float* hidden_enc = (float*)smem; // hidden_dim\n float* mu = hidden_enc + hidden_dim; // latent_dim\n float* logvar = mu + latent_dim; // latent_dim\n float* z = logvar + latent_dim; // latent_dim\n float* hidden_dec = z + latent_dim; // hidden_dim\n float* x_recon = hidden_dec + hidden_dim; // input_dim\n float* scratch = x_recon + input_dim; // max(input_dim, hidden_dim, latent_dim)\n \n const float* x_sample = x + batch_idx * input_dim;\n const float* eps_sample = epsilon + batch_idx * latent_dim;\n \n // Encoder: input_dim -> hidden_dim\n matvec(x_sample, enc_weight, enc_bias, hidden_enc,\n input_dim, hidden_dim, true, false, scratch);\n \n // Mu: hidden_dim -> latent_dim\n matvec(hidden_enc, mu_weight, mu_bias, mu,\n hidden_dim, latent_dim, false, true, nullptr);\n \n // Logvar: hidden_dim -> latent_dim \n matvec(hidden_enc, logvar_weight, logvar_bias, logvar,\n hidden_dim, latent_dim, false, true, nullptr);\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float std_val = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std_val * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first: latent_dim -> hidden_dim\n matvec(z, dec1_weight, dec1_bias, hidden_dec,\n latent_dim, hidden_dim, true, true, nullptr);\n \n // Decoder second: hidden_dim -> input_dim with sigmoid\n // hidden_dec is already in shared memory\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_dec[h] * __ldg(&dec2_weight[i * hidden_dim + h]);\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum)); // Sigmoid\n }\n __syncthreads();\n \n // KL divergence: -0.5 * sum(1 + logvar - mu^2 - exp(logvar))\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n float kl_sum = block_reduce_sum<256>(kl_thread);\n \n // BCE reconstruction loss\n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n float recon_sum = block_reduce_sum<256>(recon_thread);\n \n if (tid == 0) {\n float kl = -0.5f * kl_sum;\n float recon = recon_sum;\n float elbo = -(recon + kl);\n \n elbo_out[batch_idx] = elbo;\n recon_out[batch_idx] = recon;\n kl_out[batch_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::empty({batch_size}, options);\n auto recon_out = torch::empty({batch_size}, options);\n auto kl_out = torch::empty({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n \n // Shared memory size calculation\n size_t smem_size = (hidden_dim + latent_dim * 3 + hidden_dim + input_dim + max({input_dim, hidden_dim, latent_dim})) * sizeof(float);\n \n vae_forward_batched_kernel<<<blocks, threads, smem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n extra_cuda_cflags=['-std=c++17'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← compile_kernel (fail)
failcompile_kernel compile_kernel FAILED: RuntimeError. RuntimeError: Error building extension 'vae_extension_v3'
turn 9 · 1 tool call(s) · 152.6s turn · 20.7s LLM · tokens in=27,232 · out=2,532 · total=29,764 · 11,054 chars (click to expand)
turn 9152.6s turn · 20.7s LLM · 131.8s tools · tokens in=27,232 · out=2,532 · total=29,764
reasoning
Let me try without C++17 features and fix the max function call.
assistantLet me fix the compilation issue:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Fused VAE forward - batched approach for better memory access\n\ntemplate<int BLOCK_SIZE>\n__device__ float block_reduce_sum(float val) {\n __shared__ float shared[BLOCK_SIZE];\n int tid = threadIdx.x;\n \n shared[tid] = val;\n __syncthreads();\n \n for (int s = BLOCK_SIZE / 2; s > 0; s >>= 1) {\n if (tid < s) {\n shared[tid] += shared[tid + s];\n }\n __syncthreads();\n }\n \n return shared[0];\n}\n\n// Vector-matrix multiply: each thread handles multiple output elements\n// W is (out_dim, in_dim), input x is vector\n__device__ void matvec(\n const float* __restrict__ x, // Input vector\n const float* __restrict__ W, // Weight matrix (out_dim x in_dim)\n const float* __restrict__ bias, // Bias vector (out_dim)\n float* __restrict__ y, // Output vector\n int in_dim, int out_dim,\n bool apply_relu,\n float* shared_scratch) { // Scratch space for loading x\n \n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Load x into shared memory\n for (int i = tid; i < in_dim; i += block_size) {\n shared_scratch[i] = x[i];\n }\n __syncthreads();\n \n // Each thread computes one or more output elements\n for (int j = tid; j < out_dim; j += block_size) {\n float sum = bias[j];\n \n // Use __ldg for read-only weight access\n for (int i = 0; i < in_dim; i++) {\n sum += shared_scratch[i] * __ldg(&W[j * in_dim + i]);\n }\n \n y[j] = apply_relu ? fmaxf(sum, 0.0f) : sum;\n }\n __syncthreads();\n}\n\n__global__ void vae_forward_batched_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n const float* __restrict__ epsilon,\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int batch_idx = blockIdx.x;\n int tid = threadIdx.x;\n \n if (batch_idx >= batch_size) return;\n \n // Allocate shared memory for intermediate buffers\n extern __shared__ char smem[];\n float* hidden_enc = (float*)smem; // hidden_dim\n float* mu = hidden_enc + hidden_dim; // latent_dim\n float* logvar = mu + latent_dim; // latent_dim\n float* z = logvar + latent_dim; // latent_dim\n float* hidden_dec = z + latent_dim; // hidden_dim\n float* x_recon = hidden_dec + hidden_dim; // input_dim\n float* scratch = x_recon + input_dim; // scratch space\n \n const float* x_sample = x + batch_idx * input_dim;\n const float* eps_sample = epsilon + batch_idx * latent_dim;\n \n // Encoder: input_dim -> hidden_dim\n matvec(x_sample, enc_weight, enc_bias, hidden_enc,\n input_dim, hidden_dim, true, scratch);\n \n // Mu: hidden_dim -> latent_dim\n matvec(hidden_enc, mu_weight, mu_bias, mu,\n hidden_dim, latent_dim, false, scratch);\n \n // Logvar: hidden_dim -> latent_dim \n matvec(hidden_enc, logvar_weight, logvar_bias, logvar,\n hidden_dim, latent_dim, false, scratch);\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float std_val = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std_val * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first: latent_dim -> hidden_dim\n matvec(z, dec1_weight, dec1_bias, hidden_dec,\n latent_dim, hidden_dim, true, scratch);\n \n // Decoder second: hidden_dim -> input_dim with sigmoid\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_dec[h] * __ldg(&dec2_weight[i * hidden_dim + h]);\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum));\n }\n __syncthreads();\n \n // KL divergence\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n float kl_sum = block_reduce_sum<256>(kl_thread);\n \n // BCE reconstruction loss\n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n float recon_sum = block_reduce_sum<256>(recon_thread);\n \n if (tid == 0) {\n float kl = -0.5f * kl_sum;\n float recon = recon_sum;\n float elbo = -(recon + kl);\n \n elbo_out[batch_idx] = elbo;\n recon_out[batch_idx] = recon;\n kl_out[batch_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::empty({batch_size}, options);\n auto recon_out = torch::empty({batch_size}, options);\n auto kl_out = torch::empty({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n \n // Calculate max scratch size needed\n int max_scratch = input_dim;\n if (hidden_dim > max_scratch) max_scratch = hidden_dim;\n if (latent_dim > max_scratch) max_scratch = latent_dim;\n \n size_t smem_size = (hidden_dim + latent_dim * 3 + hidden_dim + input_dim + max_scratch) * sizeof(float);\n \n vae_forward_batched_kernel<<<blocks, threads, smem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 10 · 1 tool call(s) · 106.5s turn · 22.3s LLM · tokens in=29,762 · out=2,519 · total=32,281 · 11,027 chars (click to expand)
turn 10106.5s turn · 22.3s LLM · 84.2s tools · tokens in=29,762 · out=2,519 · total=32,281
reasoning
Let me check correctness and profile again.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Fused VAE forward - batched approach for better memory access\n\ntemplate<int BLOCK_SIZE>\n__device__ float block_reduce_sum(float val) {\n __shared__ float shared[BLOCK_SIZE];\n int tid = threadIdx.x;\n \n shared[tid] = val;\n __syncthreads();\n \n for (int s = BLOCK_SIZE / 2; s > 0; s >>= 1) {\n if (tid < s) {\n shared[tid] += shared[tid + s];\n }\n __syncthreads();\n }\n \n return shared[0];\n}\n\n// Vector-matrix multiply: each thread handles multiple output elements\n// W is (out_dim, in_dim), input x is vector\n__device__ void matvec(\n const float* __restrict__ x, // Input vector\n const float* __restrict__ W, // Weight matrix (out_dim x in_dim)\n const float* __restrict__ bias, // Bias vector (out_dim)\n float* __restrict__ y, // Output vector\n int in_dim, int out_dim,\n bool apply_relu,\n float* shared_scratch) { // Scratch space for loading x\n \n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Load x into shared memory\n for (int i = tid; i < in_dim; i += block_size) {\n shared_scratch[i] = x[i];\n }\n __syncthreads();\n \n // Each thread computes one or more output elements\n for (int j = tid; j < out_dim; j += block_size) {\n float sum = bias[j];\n \n // Use __ldg for read-only weight access\n for (int i = 0; i < in_dim; i++) {\n sum += shared_scratch[i] * __ldg(&W[j * in_dim + i]);\n }\n \n y[j] = apply_relu ? fmaxf(sum, 0.0f) : sum;\n }\n __syncthreads();\n}\n\n__global__ void vae_forward_batched_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n const float* __restrict__ epsilon,\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int batch_idx = blockIdx.x;\n int tid = threadIdx.x;\n \n if (batch_idx >= batch_size) return;\n \n // Allocate shared memory for intermediate buffers\n extern __shared__ char smem[];\n float* hidden_enc = (float*)smem; // hidden_dim\n float* mu = hidden_enc + hidden_dim; // latent_dim\n float* logvar = mu + latent_dim; // latent_dim\n float* z = logvar + latent_dim; // latent_dim\n float* hidden_dec = z + latent_dim; // hidden_dim\n float* x_recon = hidden_dec + hidden_dim; // input_dim\n float* scratch = x_recon + input_dim; // scratch space\n \n const float* x_sample = x + batch_idx * input_dim;\n const float* eps_sample = epsilon + batch_idx * latent_dim;\n \n // Encoder: input_dim -> hidden_dim\n matvec(x_sample, enc_weight, enc_bias, hidden_enc,\n input_dim, hidden_dim, true, scratch);\n \n // Mu: hidden_dim -> latent_dim\n matvec(hidden_enc, mu_weight, mu_bias, mu,\n hidden_dim, latent_dim, false, scratch);\n \n // Logvar: hidden_dim -> latent_dim \n matvec(hidden_enc, logvar_weight, logvar_bias, logvar,\n hidden_dim, latent_dim, false, scratch);\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float std_val = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std_val * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first: latent_dim -> hidden_dim\n matvec(z, dec1_weight, dec1_bias, hidden_dec,\n latent_dim, hidden_dim, true, scratch);\n \n // Decoder second: hidden_dim -> input_dim with sigmoid\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_dec[h] * __ldg(&dec2_weight[i * hidden_dim + h]);\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum));\n }\n __syncthreads();\n \n // KL divergence\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n float kl_sum = block_reduce_sum<256>(kl_thread);\n \n // BCE reconstruction loss\n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n float recon_sum = block_reduce_sum<256>(recon_thread);\n \n if (tid == 0) {\n float kl = -0.5f * kl_sum;\n float recon = recon_sum;\n float elbo = -(recon + kl);\n \n elbo_out[batch_idx] = elbo;\n recon_out[batch_idx] = recon;\n kl_out[batch_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::empty({batch_size}, options);\n auto recon_out = torch::empty({batch_size}, options);\n auto kl_out = torch::empty({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n \n // Calculate max scratch size needed\n int max_scratch = input_dim;\n if (hidden_dim > max_scratch) max_scratch = hidden_dim;\n if (latent_dim > max_scratch) max_scratch = latent_dim;\n \n size_t smem_size = (hidden_dim + latent_dim * 3 + hidden_dim + input_dim + max_scratch) * sizeof(float);\n \n vae_forward_batched_kernel<<<blocks, threads, smem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (3 / 3) trials all matched the reference. Numerical precision: max_abs_err=1.22e-04 mean_abs_err=1.19e-05 max_rel_err=1.18e-06
turn 11 · 1 tool call(s) · 30.9s turn · 30.9s LLM · tokens in=32,330 · out=3,288 · total=35,618 · 14,267 chars (click to expand)
turn 1130.9s turn · 30.9s LLM · 0.0s tools · tokens in=32,330 · out=3,288 · total=35,618
reasoning
Good, correctness passed. The big issue from the profiling was that `torch.randn` took most of the time (~3700μs) while the kernel was only ~200μs. Let me think about how to optimize this. The reference implementation uses `torch.randn_like(std)` which is very fast. Maybe I should match that exactly. Actually, looking at the reference more carefully: ```python std = torch.exp(0.5 * logvar) z = mu + std * torch.randn_like(std) ``` This uses `torch.randn_like(std)` which might be faster than `torch.randn(batch_size, latent_dim, ...)`. Let me also try to use a fused matmul approach with cuBLAS since H100 has tensor cores. However, for small batch sizes like 128, the overhead might be significant. Let me try a different approach - use the reference's style of random generation:
assistantLet me try optimizing by matching the reference's random generation more closely and using cuBLAS for matrix multiplications:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\n# Use cuBLAS for matrix operations and fused loss computation\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cublas_v2.h>\n#include <cmath>\n\n// Fused kernel for computing z, KL divergence, and BCE loss\n__global__ void vae_loss_kernel(\n const float* __restrict__ mu,\n const float* __restrict__ logvar,\n const float* __restrict__ eps,\n const float* __restrict__ x_recon,\n const float* __restrict__ x,\n float* __restrict__ z,\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int latent_dim, int input_dim) {\n \n int batch_idx = blockIdx.x;\n int tid = threadIdx.x;\n \n if (batch_idx >= batch_size) return;\n \n // Pointers to this sample's data\n const float* mu_s = mu + batch_idx * latent_dim;\n const float* logvar_s = logvar + batch_idx * latent_dim;\n const float* eps_s = eps + batch_idx * latent_dim;\n const float* x_recon_s = x_recon + batch_idx * input_dim;\n const float* x_s = x + batch_idx * input_dim;\n float* z_s = z + batch_idx * latent_dim;\n \n // Reparameterization and KL divergence in one pass\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float m = mu_s[l];\n float lv = logvar_s[l];\n float std_val = expf(0.5f * lv);\n z_s[l] = m + std_val * eps_s[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n \n // BCE loss computation\n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float xr = x_recon_s[i];\n float xi = x_s[i];\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n \n // Block reduction\n __shared__ float kl_shared[256];\n __shared__ float recon_shared[256];\n \n kl_shared[tid] = kl_thread;\n recon_shared[tid] = recon_thread;\n __syncthreads();\n \n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (tid < s) {\n kl_shared[tid] += kl_shared[tid + s];\n recon_shared[tid] += recon_shared[tid + s];\n }\n __syncthreads();\n }\n \n if (tid == 0) {\n float kl = -0.5f * kl_shared[0];\n float recon = recon_shared[0];\n elbo_out[batch_idx] = -(recon + kl);\n recon_out[batch_idx] = recon;\n kl_out[batch_idx] = kl;\n }\n}\n\n// Sigmoid activation kernel\n__global__ void sigmoid_kernel(\n const float* __restrict__ x,\n float* __restrict__ y,\n int n) {\n \n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < n) {\n y[idx] = 1.0f / (1.0f + expf(-x[idx]));\n }\n}\n\n// ReLU activation kernel\n__global__ void relu_kernel(\n const float* __restrict__ x,\n float* __restrict__ y,\n int n) {\n \n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < n) {\n y[idx] = fmaxf(x[idx], 0.0f);\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n \n // Allocate intermediate tensors\n auto hidden_enc = torch::empty({batch_size, hidden_dim}, options);\n auto mu = torch::empty({batch_size, latent_dim}, options);\n auto logvar = torch::empty({batch_size, latent_dim}, options);\n auto z = torch::empty({batch_size, latent_dim}, options);\n auto hidden_dec = torch::empty({batch_size, hidden_dim}, options);\n auto x_pre_sigmoid = torch::empty({batch_size, input_dim}, options);\n auto x_recon = torch::empty({batch_size, input_dim}, options);\n auto elbo_out = torch::empty({batch_size}, options);\n auto recon_out = torch::empty({batch_size}, options);\n auto kl_out = torch::empty({batch_size}, options);\n \n // Get cuBLAS handle\n cublasHandle_t handle = at::cuda::getCurrentCUDABlasHandle();\n const float alpha = 1.0f;\n const float beta = 0.0f;\n \n // Encoder: hidden = ReLU(x @ enc_weight.T + enc_bias)\n // cublasSgemm: C = alpha * op(A) * op(B) + beta * C\n // We want: hidden = x @ W.T where W is (hidden_dim, input_dim)\n // So: hidden = (W @ x.T).T = x @ W.T\n // Using op(A)=W, op(B)=x.T, so A is W^T no-transpose, B is x transpose\n // Actually easier: use C = A @ B with A=x (batch x in), B=W.T (in x hidden)\n \n // hidden_enc = x @ enc_weight.T + enc_bias\n // enc_weight is (hidden_dim, input_dim), so enc_weight.T is (input_dim, hidden_dim)\n cublasSgemm(handle, \n CUBLAS_OP_N, CUBLAS_OP_T, // op(B)=N, op(A)=T \n hidden_dim, batch_size, input_dim,\n &alpha,\n enc_weight.data_ptr<float>(), input_dim, // A is (hidden x in), op(A)=T gives (in x hidden)\n x.data_ptr<float>(), input_dim, // B is (batch x in), op(B)=N\n &beta,\n hidden_enc.data_ptr<float>(), hidden_dim); // C is (hidden x batch)\n \n // Add bias and apply ReLU (column-major, bias added to each row)\n // hidden_enc is stored as (hidden_dim x batch_size) column-major\n // Add bias to each column\n int relu_threads = 256;\n int relu_blocks = (batch_size * hidden_dim + relu_threads - 1) / relu_threads;\n \n // Need to add bias and ReLU. Let's fuse this.\n auto hidden_enc_2d = hidden_enc.view({hidden_dim, batch_size});\n for (int h = 0; h < hidden_dim; h++) {\n hidden_enc_2d[h].add_(enc_bias[h]);\n }\n relu_kernel<<<relu_blocks, relu_threads>>>(\n hidden_enc.data_ptr<float>(),\n hidden_enc.data_ptr<float>(),\n batch_size * hidden_dim);\n \n // mu = hidden_enc @ mu_weight.T + mu_bias\n // mu_weight is (latent_dim, hidden_dim)\n cublasSgemm(handle,\n CUBLAS_OP_N, CUBLAS_OP_T,\n latent_dim, batch_size, hidden_dim,\n &alpha,\n mu_weight.data_ptr<float>(), hidden_dim,\n hidden_enc.data_ptr<float>(), hidden_dim,\n &beta,\n mu.data_ptr<float>(), latent_dim);\n \n auto mu_2d = mu.view({latent_dim, batch_size});\n for (int l = 0; l < latent_dim; l++) {\n mu_2d[l].add_(mu_bias[l]);\n }\n \n // logvar = hidden_enc @ logvar_weight.T + logvar_bias\n cublasSgemm(handle,\n CUBLAS_OP_N, CUBLAS_OP_T,\n latent_dim, batch_size, hidden_dim,\n &alpha,\n logvar_weight.data_ptr<float>(), hidden_dim,\n hidden_enc.data_ptr<float>(), hidden_dim,\n &beta,\n logvar.data_ptr<float>(), latent_dim);\n \n auto logvar_2d = logvar.view({latent_dim, batch_size});\n for (int l = 0; l < latent_dim; l++) {\n logvar_2d[l].add_(logvar_bias[l]);\n }\n \n // hidden_dec = ReLU(z @ dec1_weight.T + dec1_bias)\n // dec1_weight is (hidden_dim, latent_dim)\n cublasSgemm(handle,\n CUBLAS_OP_N, CUBLAS_OP_T,\n hidden_dim, batch_size, latent_dim,\n &alpha,\n dec1_weight.data_ptr<float>(), latent_dim,\n z.data_ptr<float>(), latent_dim,\n &beta,\n hidden_dec.data_ptr<float>(), hidden_dim);\n \n auto hidden_dec_2d = hidden_dec.view({hidden_dim, batch_size});\n for (int h = 0; h < hidden_dim; h++) {\n hidden_dec_2d[h].add_(dec1_bias[h]);\n }\n relu_kernel<<<relu_blocks, relu_threads>>>(\n hidden_dec.data_ptr<float>(),\n hidden_dec.data_ptr<float>(),\n batch_size * hidden_dim);\n \n // x_pre_sigmoid = hidden_dec @ dec2_weight.T + dec2_bias\n // dec2_weight is (input_dim, hidden_dim)\n cublasSgemm(handle,\n CUBLAS_OP_N, CUBLAS_OP_T,\n input_dim, batch_size, hidden_dim,\n &alpha,\n dec2_weight.data_ptr<float>(), hidden_dim,\n hidden_dec.data_ptr<float>(), hidden_dim,\n &beta,\n x_pre_sigmoid.data_ptr<float>(), input_dim);\n \n auto x_pre_2d = x_pre_sigmoid.view({input_dim, batch_size});\n for (int i = 0; i < input_dim; i++) {\n x_pre_2d[i].add_(dec2_bias[i]);\n }\n \n // Apply sigmoid\n int sig_threads = 256;\n int sig_blocks = (batch_size * input_dim + sig_threads - 1) / sig_threads;\n sigmoid_kernel<<<sig_blocks, sig_threads>>>(\n x_pre_sigmoid.data_ptr<float>(),\n x_recon.data_ptr<float>(),\n batch_size * input_dim);\n \n // Compute z and losses\n int loss_threads = 256;\n int loss_blocks = batch_size;\n vae_loss_kernel<<<loss_blocks, loss_threads>>>(\n mu.data_ptr<float>(),\n logvar.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n x_recon.data_ptr<float>(),\n x.data_ptr<float>(),\n z.data_ptr<float>(),\n elbo_out.data_ptr<float>(),\n recon_out.data_ptr<float>(),\n kl_out.data_ptr<float>(),\n batch_size, latent_dim, input_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n extra_cuda_cflags=['-lcublas'],\n libraries=['cublas'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n results = vae_extension.vae_forward_cuda(\n x.contiguous(),\n self.encoder[0].weight.contiguous(),\n self.encoder[0].bias.contiguous(),\n self.fc_mu.weight.contiguous(),\n self.fc_mu.bias.contiguous(),\n self.fc_logvar.weight.contiguous(),\n self.fc_logvar.bias.contiguous(),\n self.decoder[0].weight.contiguous(),\n self.decoder[0].bias.contiguous(),\n self.decoder[2].weight.contiguous(),\n self.decoder[2].bias.contiguous(),\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← compile_kernel (fail)
failcompile_kernel compile_kernel FAILED: TypeError. TypeError: load_inline() got an unexpected keyword argument 'libraries'
turn 12 · 1 tool call(s) · 21.5s turn · 21.5s LLM · tokens in=35,486 · out=2,566 · total=38,052 · 11,289 chars (click to expand)
turn 1221.5s turn · 21.5s LLM · 0.0s tools · tokens in=35,486 · out=2,566 · total=38,052
reasoning
The current kernel compiles and passes correctness. The profiling showed that most of the time is spent on `aten::randn` (random number generation), which is unavoidable since the reference also uses it. The actual kernel execution is only ~200μs. Let me submit the working kernel. It's already faster than calling individual PyTorch operations since we fuse everything together and avoid multiple kernel launches and memory transfers.
assistantI have a correct and working kernel. Let me submit it now since it compiles, passes correctness, and the main overhead is from PyTorch's random number generation which is the same for the reference.
call → static_check
callstatic_check { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Fused VAE forward - batched approach for better memory access\n\ntemplate<int BLOCK_SIZE>\n__device__ float block_reduce_sum(float val) {\n __shared__ float shared[BLOCK_SIZE];\n int tid = threadIdx.x;\n \n shared[tid] = val;\n __syncthreads();\n \n for (int s = BLOCK_SIZE / 2; s > 0; s >>= 1) {\n if (tid < s) {\n shared[tid] += shared[tid + s];\n }\n __syncthreads();\n }\n \n return shared[0];\n}\n\n// Vector-matrix multiply: each thread handles multiple output elements\n// W is (out_dim, in_dim), input x is vector\n__device__ void matvec(\n const float* __restrict__ x,\n const float* __restrict__ W,\n const float* __restrict__ bias,\n float* __restrict__ y,\n int in_dim, int out_dim,\n bool apply_relu,\n float* shared_scratch) {\n \n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Load x into shared memory\n for (int i = tid; i < in_dim; i += block_size) {\n shared_scratch[i] = x[i];\n }\n __syncthreads();\n \n // Each thread computes one or more output elements\n for (int j = tid; j < out_dim; j += block_size) {\n float sum = bias[j];\n \n // Use __ldg for read-only weight access\n for (int i = 0; i < in_dim; i++) {\n sum += shared_scratch[i] * __ldg(&W[j * in_dim + i]);\n }\n \n y[j] = apply_relu ? fmaxf(sum, 0.0f) : sum;\n }\n __syncthreads();\n}\n\n__global__ void vae_forward_batched_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n const float* __restrict__ epsilon,\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int batch_idx = blockIdx.x;\n int tid = threadIdx.x;\n \n if (batch_idx >= batch_size) return;\n \n // Allocate shared memory for intermediate buffers\n extern __shared__ char smem[];\n float* hidden_enc = (float*)smem;\n float* mu = hidden_enc + hidden_dim;\n float* logvar = mu + latent_dim;\n float* z = logvar + latent_dim;\n float* hidden_dec = z + latent_dim;\n float* x_recon = hidden_dec + hidden_dim;\n float* scratch = x_recon + input_dim;\n \n const float* x_sample = x + batch_idx * input_dim;\n const float* eps_sample = epsilon + batch_idx * latent_dim;\n \n // Encoder: input_dim -> hidden_dim\n matvec(x_sample, enc_weight, enc_bias, hidden_enc,\n input_dim, hidden_dim, true, scratch);\n \n // Mu: hidden_dim -> latent_dim\n matvec(hidden_enc, mu_weight, mu_bias, mu,\n hidden_dim, latent_dim, false, scratch);\n \n // Logvar: hidden_dim -> latent_dim \n matvec(hidden_enc, logvar_weight, logvar_bias, logvar,\n hidden_dim, latent_dim, false, scratch);\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float std_val = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std_val * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first: latent_dim -> hidden_dim\n matvec(z, dec1_weight, dec1_bias, hidden_dec,\n latent_dim, hidden_dim, true, scratch);\n \n // Decoder second: hidden_dim -> input_dim with sigmoid\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_dec[h] * __ldg(&dec2_weight[i * hidden_dim + h]);\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum));\n }\n __syncthreads();\n \n // KL divergence\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n float kl_sum = block_reduce_sum<256>(kl_thread);\n \n // BCE reconstruction loss\n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n float recon_sum = block_reduce_sum<256>(recon_thread);\n \n if (tid == 0) {\n float kl = -0.5f * kl_sum;\n float recon = recon_sum;\n float elbo = -(recon + kl);\n \n elbo_out[batch_idx] = elbo;\n recon_out[batch_idx] = recon;\n kl_out[batch_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::empty({batch_size}, options);\n auto recon_out = torch::empty({batch_size}, options);\n auto kl_out = torch::empty({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n \n // Calculate max scratch size needed\n int max_scratch = input_dim;\n if (hidden_dim > max_scratch) max_scratch = hidden_dim;\n if (latent_dim > max_scratch) max_scratch = latent_dim;\n \n size_t smem_size = (hidden_dim + latent_dim * 3 + hidden_dim + input_dim + max_scratch) * sizeof(float);\n \n vae_forward_batched_kernel<<<blocks, threads, smem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← static_check (ok)
okstatic_check static_check PASSED (with warnings): WARNING: Uses torch.nn compute layer (only containers, Parameter, init allowed)
turn 13 · FINAL · 1 tool call(s) · 228.8s turn · 20.1s LLM · tokens in=38,028 · out=2,488 · total=40,516 · 11,061 chars (click to expand)
turn 13228.8s turn · 20.1s LLM · 208.7s tools · tokens in=38,028 · out=2,488 · total=40,516 · FINAL
reasoning
The static check passed with just a warning about using torch.nn compute layer, which is fine since we're using it for the model structure. The kernel compiles, passes correctness checks, and passes static analysis. Let me submit it now.
call → submit_kernel
callsubmit_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nimport torch.nn.functional as F\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cmath>\n\n// Fused VAE forward - batched approach for better memory access\n\ntemplate<int BLOCK_SIZE>\n__device__ float block_reduce_sum(float val) {\n __shared__ float shared[BLOCK_SIZE];\n int tid = threadIdx.x;\n \n shared[tid] = val;\n __syncthreads();\n \n for (int s = BLOCK_SIZE / 2; s > 0; s >>= 1) {\n if (tid < s) {\n shared[tid] += shared[tid + s];\n }\n __syncthreads();\n }\n \n return shared[0];\n}\n\n// Vector-matrix multiply: each thread handles multiple output elements\n// W is (out_dim, in_dim), input x is vector\n__device__ void matvec(\n const float* __restrict__ x,\n const float* __restrict__ W,\n const float* __restrict__ bias,\n float* __restrict__ y,\n int in_dim, int out_dim,\n bool apply_relu,\n float* shared_scratch) {\n \n int tid = threadIdx.x;\n int block_size = blockDim.x;\n \n // Load x into shared memory\n for (int i = tid; i < in_dim; i += block_size) {\n shared_scratch[i] = x[i];\n }\n __syncthreads();\n \n // Each thread computes one or more output elements\n for (int j = tid; j < out_dim; j += block_size) {\n float sum = bias[j];\n \n // Use __ldg for read-only weight access\n for (int i = 0; i < in_dim; i++) {\n sum += shared_scratch[i] * __ldg(&W[j * in_dim + i]);\n }\n \n y[j] = apply_relu ? fmaxf(sum, 0.0f) : sum;\n }\n __syncthreads();\n}\n\n__global__ void vae_forward_batched_kernel(\n const float* __restrict__ x,\n const float* __restrict__ enc_weight,\n const float* __restrict__ enc_bias,\n const float* __restrict__ mu_weight,\n const float* __restrict__ mu_bias,\n const float* __restrict__ logvar_weight,\n const float* __restrict__ logvar_bias,\n const float* __restrict__ dec1_weight,\n const float* __restrict__ dec1_bias,\n const float* __restrict__ dec2_weight,\n const float* __restrict__ dec2_bias,\n const float* __restrict__ epsilon,\n float* __restrict__ elbo_out,\n float* __restrict__ recon_out,\n float* __restrict__ kl_out,\n int batch_size, int input_dim, int hidden_dim, int latent_dim) {\n \n int batch_idx = blockIdx.x;\n int tid = threadIdx.x;\n \n if (batch_idx >= batch_size) return;\n \n // Allocate shared memory for intermediate buffers\n extern __shared__ char smem[];\n float* hidden_enc = (float*)smem;\n float* mu = hidden_enc + hidden_dim;\n float* logvar = mu + latent_dim;\n float* z = logvar + latent_dim;\n float* hidden_dec = z + latent_dim;\n float* x_recon = hidden_dec + hidden_dim;\n float* scratch = x_recon + input_dim;\n \n const float* x_sample = x + batch_idx * input_dim;\n const float* eps_sample = epsilon + batch_idx * latent_dim;\n \n // Encoder: input_dim -> hidden_dim\n matvec(x_sample, enc_weight, enc_bias, hidden_enc,\n input_dim, hidden_dim, true, scratch);\n \n // Mu: hidden_dim -> latent_dim\n matvec(hidden_enc, mu_weight, mu_bias, mu,\n hidden_dim, latent_dim, false, scratch);\n \n // Logvar: hidden_dim -> latent_dim \n matvec(hidden_enc, logvar_weight, logvar_bias, logvar,\n hidden_dim, latent_dim, false, scratch);\n \n // Reparameterization: z = mu + exp(0.5*logvar) * epsilon\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float std_val = expf(0.5f * logvar[l]);\n z[l] = mu[l] + std_val * eps_sample[l];\n }\n __syncthreads();\n \n // Decoder first: latent_dim -> hidden_dim\n matvec(z, dec1_weight, dec1_bias, hidden_dec,\n latent_dim, hidden_dim, true, scratch);\n \n // Decoder second: hidden_dim -> input_dim with sigmoid\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float sum = dec2_bias[i];\n for (int h = 0; h < hidden_dim; h++) {\n sum += hidden_dec[h] * __ldg(&dec2_weight[i * hidden_dim + h]);\n }\n x_recon[i] = 1.0f / (1.0f + expf(-sum));\n }\n __syncthreads();\n \n // KL divergence\n float kl_thread = 0.0f;\n for (int l = tid; l < latent_dim; l += blockDim.x) {\n float m = mu[l];\n float lv = logvar[l];\n kl_thread += 1.0f + lv - m * m - expf(lv);\n }\n float kl_sum = block_reduce_sum<256>(kl_thread);\n \n // BCE reconstruction loss\n float recon_thread = 0.0f;\n for (int i = tid; i < input_dim; i += blockDim.x) {\n float xr = x_recon[i];\n float xi = x_sample[i];\n float log_xr = logf(fmaxf(xr, 1e-7f));\n float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));\n recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;\n }\n float recon_sum = block_reduce_sum<256>(recon_thread);\n \n if (tid == 0) {\n float kl = -0.5f * kl_sum;\n float recon = recon_sum;\n float elbo = -(recon + kl);\n \n elbo_out[batch_idx] = elbo;\n recon_out[batch_idx] = recon;\n kl_out[batch_idx] = kl;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon) {\n \n int batch_size = x.size(0);\n int input_dim = x.size(1);\n int hidden_dim = enc_weight.size(0);\n int latent_dim = mu_weight.size(0);\n \n auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());\n auto elbo_out = torch::empty({batch_size}, options);\n auto recon_out = torch::empty({batch_size}, options);\n auto kl_out = torch::empty({batch_size}, options);\n \n int threads = 256;\n int blocks = batch_size;\n \n // Calculate max scratch size needed\n int max_scratch = input_dim;\n if (hidden_dim > max_scratch) max_scratch = hidden_dim;\n if (latent_dim > max_scratch) max_scratch = latent_dim;\n \n size_t smem_size = (hidden_dim + latent_dim * 3 + hidden_dim + input_dim + max_scratch) * sizeof(float);\n \n vae_forward_batched_kernel<<<blocks, threads, smem_size>>>(\n x.data_ptr<float>(),\n enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),\n mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),\n logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),\n dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),\n dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),\n epsilon.data_ptr<float>(),\n elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),\n batch_size, input_dim, hidden_dim, latent_dim);\n \n return {elbo_out, recon_out, kl_out};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward_cuda(\n torch::Tensor x,\n torch::Tensor enc_weight, torch::Tensor enc_bias,\n torch::Tensor mu_weight, torch::Tensor mu_bias,\n torch::Tensor logvar_weight, torch::Tensor logvar_bias,\n torch::Tensor dec1_weight, torch::Tensor dec1_bias,\n torch::Tensor dec2_weight, torch::Tensor dec2_bias,\n torch::Tensor epsilon);\n\"\"\"\n\nvae_extension = load_inline(\n name='vae_extension',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['vae_forward_cuda'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n def __init__(self, input_dim, hidden_dim, latent_dim):\n super().__init__()\n self.encoder = nn.Sequential(\n nn.Linear(input_dim, hidden_dim),\n nn.ReLU(),\n )\n self.fc_mu = nn.Linear(hidden_dim, latent_dim)\n self.fc_logvar = nn.Linear(hidden_dim, latent_dim)\n\n self.decoder = nn.Sequential(\n nn.Linear(latent_dim, hidden_dim),\n nn.ReLU(),\n nn.Linear(hidden_dim, input_dim),\n nn.Sigmoid(),\n )\n \n self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x: torch.Tensor) -> tuple:\n batch_size = x.size(0)\n epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)\n \n enc_weight = self.encoder[0].weight.contiguous()\n enc_bias = self.encoder[0].bias.contiguous()\n mu_weight = self.fc_mu.weight.contiguous()\n mu_bias = self.fc_mu.bias.contiguous()\n logvar_weight = self.fc_logvar.weight.contiguous()\n logvar_bias = self.fc_logvar.bias.contiguous()\n dec1_weight = self.decoder[0].weight.contiguous()\n dec1_bias = self.decoder[0].bias.contiguous()\n dec2_weight = self.decoder[2].weight.contiguous()\n dec2_bias = self.decoder[2].bias.contiguous()\n \n results = vae_extension.vae_forward_cuda(\n x, enc_weight, enc_bias,\n mu_weight, mu_bias,\n logvar_weight, logvar_bias,\n dec1_weight, dec1_bias,\n dec2_weight, dec2_bias,\n epsilon)\n \n return results[0], results[1], results[2]" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (3 / 3) correctness trials all passed. Kernel runtime: 0.23 μs Runtime stats: mean=0.23μs median=?μs std=0.00μs Numerical precision: max_abs_err=1.22e-04 mean_abs_err=1.19e-05 max_rel_err=1.18e-06 Memory: 36.66 MB peak (ref: 37.6 MB, ratio: 0.9751x) Kernel launches: 6 (ref: 61, fusion ratio: 10.1667) SOL score: 0.1909
final submitted kernel (274 lines, 9,211 chars) — full source, untruncated
import torch
import torch.nn as nn
import torch.nn.functional as F
from torch.utils.cpp_extension import load_inline

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

// Fused VAE forward - batched approach for better memory access

template<int BLOCK_SIZE>
__device__ float block_reduce_sum(float val) {
    __shared__ float shared[BLOCK_SIZE];
    int tid = threadIdx.x;
    
    shared[tid] = val;
    __syncthreads();
    
    for (int s = BLOCK_SIZE / 2; s > 0; s >>= 1) {
        if (tid < s) {
            shared[tid] += shared[tid + s];
        }
        __syncthreads();
    }
    
    return shared[0];
}

// Vector-matrix multiply: each thread handles multiple output elements
// W is (out_dim, in_dim), input x is vector
__device__ void matvec(
    const float* __restrict__ x,
    const float* __restrict__ W,
    const float* __restrict__ bias,
    float* __restrict__ y,
    int in_dim, int out_dim,
    bool apply_relu,
    float* shared_scratch) {
    
    int tid = threadIdx.x;
    int block_size = blockDim.x;
    
    // Load x into shared memory
    for (int i = tid; i < in_dim; i += block_size) {
        shared_scratch[i] = x[i];
    }
    __syncthreads();
    
    // Each thread computes one or more output elements
    for (int j = tid; j < out_dim; j += block_size) {
        float sum = bias[j];
        
        // Use __ldg for read-only weight access
        for (int i = 0; i < in_dim; i++) {
            sum += shared_scratch[i] * __ldg(&W[j * in_dim + i]);
        }
        
        y[j] = apply_relu ? fmaxf(sum, 0.0f) : sum;
    }
    __syncthreads();
}

__global__ void vae_forward_batched_kernel(
    const float* __restrict__ x,
    const float* __restrict__ enc_weight,
    const float* __restrict__ enc_bias,
    const float* __restrict__ mu_weight,
    const float* __restrict__ mu_bias,
    const float* __restrict__ logvar_weight,
    const float* __restrict__ logvar_bias,
    const float* __restrict__ dec1_weight,
    const float* __restrict__ dec1_bias,
    const float* __restrict__ dec2_weight,
    const float* __restrict__ dec2_bias,
    const float* __restrict__ epsilon,
    float* __restrict__ elbo_out,
    float* __restrict__ recon_out,
    float* __restrict__ kl_out,
    int batch_size, int input_dim, int hidden_dim, int latent_dim) {
    
    int batch_idx = blockIdx.x;
    int tid = threadIdx.x;
    
    if (batch_idx >= batch_size) return;
    
    // Allocate shared memory for intermediate buffers
    extern __shared__ char smem[];
    float* hidden_enc = (float*)smem;
    float* mu = hidden_enc + hidden_dim;
    float* logvar = mu + latent_dim;
    float* z = logvar + latent_dim;
    float* hidden_dec = z + latent_dim;
    float* x_recon = hidden_dec + hidden_dim;
    float* scratch = x_recon + input_dim;
    
    const float* x_sample = x + batch_idx * input_dim;
    const float* eps_sample = epsilon + batch_idx * latent_dim;
    
    // Encoder: input_dim -> hidden_dim
    matvec(x_sample, enc_weight, enc_bias, hidden_enc,
           input_dim, hidden_dim, true, scratch);
    
    // Mu: hidden_dim -> latent_dim
    matvec(hidden_enc, mu_weight, mu_bias, mu,
           hidden_dim, latent_dim, false, scratch);
    
    // Logvar: hidden_dim -> latent_dim  
    matvec(hidden_enc, logvar_weight, logvar_bias, logvar,
           hidden_dim, latent_dim, false, scratch);
    
    // Reparameterization: z = mu + exp(0.5*logvar) * epsilon
    for (int l = tid; l < latent_dim; l += blockDim.x) {
        float std_val = expf(0.5f * logvar[l]);
        z[l] = mu[l] + std_val * eps_sample[l];
    }
    __syncthreads();
    
    // Decoder first: latent_dim -> hidden_dim
    matvec(z, dec1_weight, dec1_bias, hidden_dec,
           latent_dim, hidden_dim, true, scratch);
    
    // Decoder second: hidden_dim -> input_dim with sigmoid
    for (int i = tid; i < input_dim; i += blockDim.x) {
        float sum = dec2_bias[i];
        for (int h = 0; h < hidden_dim; h++) {
            sum += hidden_dec[h] * __ldg(&dec2_weight[i * hidden_dim + h]);
        }
        x_recon[i] = 1.0f / (1.0f + expf(-sum));
    }
    __syncthreads();
    
    // KL divergence
    float kl_thread = 0.0f;
    for (int l = tid; l < latent_dim; l += blockDim.x) {
        float m = mu[l];
        float lv = logvar[l];
        kl_thread += 1.0f + lv - m * m - expf(lv);
    }
    float kl_sum = block_reduce_sum<256>(kl_thread);
    
    // BCE reconstruction loss
    float recon_thread = 0.0f;
    for (int i = tid; i < input_dim; i += blockDim.x) {
        float xr = x_recon[i];
        float xi = x_sample[i];
        float log_xr = logf(fmaxf(xr, 1e-7f));
        float log_1_xr = logf(fmaxf(1.0f - xr, 1e-7f));
        recon_thread -= xi * log_xr + (1.0f - xi) * log_1_xr;
    }
    float recon_sum = block_reduce_sum<256>(recon_thread);
    
    if (tid == 0) {
        float kl = -0.5f * kl_sum;
        float recon = recon_sum;
        float elbo = -(recon + kl);
        
        elbo_out[batch_idx] = elbo;
        recon_out[batch_idx] = recon;
        kl_out[batch_idx] = kl;
    }
}

std::vector<torch::Tensor> vae_forward_cuda(
    torch::Tensor x,
    torch::Tensor enc_weight, torch::Tensor enc_bias,
    torch::Tensor mu_weight, torch::Tensor mu_bias,
    torch::Tensor logvar_weight, torch::Tensor logvar_bias,
    torch::Tensor dec1_weight, torch::Tensor dec1_bias,
    torch::Tensor dec2_weight, torch::Tensor dec2_bias,
    torch::Tensor epsilon) {
    
    int batch_size = x.size(0);
    int input_dim = x.size(1);
    int hidden_dim = enc_weight.size(0);
    int latent_dim = mu_weight.size(0);
    
    auto options = torch::TensorOptions().dtype(torch::kFloat32).device(x.device());
    auto elbo_out = torch::empty({batch_size}, options);
    auto recon_out = torch::empty({batch_size}, options);
    auto kl_out = torch::empty({batch_size}, options);
    
    int threads = 256;
    int blocks = batch_size;
    
    // Calculate max scratch size needed
    int max_scratch = input_dim;
    if (hidden_dim > max_scratch) max_scratch = hidden_dim;
    if (latent_dim > max_scratch) max_scratch = latent_dim;
    
    size_t smem_size = (hidden_dim + latent_dim * 3 + hidden_dim + input_dim + max_scratch) * sizeof(float);
    
    vae_forward_batched_kernel<<<blocks, threads, smem_size>>>(
        x.data_ptr<float>(),
        enc_weight.data_ptr<float>(), enc_bias.data_ptr<float>(),
        mu_weight.data_ptr<float>(), mu_bias.data_ptr<float>(),
        logvar_weight.data_ptr<float>(), logvar_bias.data_ptr<float>(),
        dec1_weight.data_ptr<float>(), dec1_bias.data_ptr<float>(),
        dec2_weight.data_ptr<float>(), dec2_bias.data_ptr<float>(),
        epsilon.data_ptr<float>(),
        elbo_out.data_ptr<float>(), recon_out.data_ptr<float>(), kl_out.data_ptr<float>(),
        batch_size, input_dim, hidden_dim, latent_dim);
    
    return {elbo_out, recon_out, kl_out};
}
"""

cpp_source = """
std::vector<torch::Tensor> vae_forward_cuda(
    torch::Tensor x,
    torch::Tensor enc_weight, torch::Tensor enc_bias,
    torch::Tensor mu_weight, torch::Tensor mu_bias,
    torch::Tensor logvar_weight, torch::Tensor logvar_bias,
    torch::Tensor dec1_weight, torch::Tensor dec1_bias,
    torch::Tensor dec2_weight, torch::Tensor dec2_bias,
    torch::Tensor epsilon);
"""

vae_extension = load_inline(
    name='vae_extension',
    cpp_sources=cpp_source,
    cuda_sources=cuda_source,
    functions=['vae_forward_cuda'],
    verbose=True
)


class ModelNew(nn.Module):
    def __init__(self, input_dim, hidden_dim, latent_dim):
        super().__init__()
        self.encoder = nn.Sequential(
            nn.Linear(input_dim, hidden_dim),
            nn.ReLU(),
        )
        self.fc_mu = nn.Linear(hidden_dim, latent_dim)
        self.fc_logvar = nn.Linear(hidden_dim, latent_dim)

        self.decoder = nn.Sequential(
            nn.Linear(latent_dim, hidden_dim),
            nn.ReLU(),
            nn.Linear(hidden_dim, input_dim),
            nn.Sigmoid(),
        )
        
        self.input_dim = input_dim
        self.hidden_dim = hidden_dim
        self.latent_dim = latent_dim

    def forward(self, x: torch.Tensor) -> tuple:
        batch_size = x.size(0)
        epsilon = torch.randn(batch_size, self.latent_dim, device=x.device, dtype=x.dtype)
        
        enc_weight = self.encoder[0].weight.contiguous()
        enc_bias = self.encoder[0].bias.contiguous()
        mu_weight = self.fc_mu.weight.contiguous()
        mu_bias = self.fc_mu.bias.contiguous()
        logvar_weight = self.fc_logvar.weight.contiguous()
        logvar_bias = self.fc_logvar.bias.contiguous()
        dec1_weight = self.decoder[0].weight.contiguous()
        dec1_bias = self.decoder[0].bias.contiguous()
        dec2_weight = self.decoder[2].weight.contiguous()
        dec2_bias = self.decoder[2].bias.contiguous()
        
        results = vae_extension.vae_forward_cuda(
            x, enc_weight, enc_bias,
            mu_weight, mu_bias,
            logvar_weight, logvar_bias,
            dec1_weight, dec1_bias,
            dec2_weight, dec2_bias,
            epsilon)
        
        return results[0], results[1], results[2]