grok-4.3 · popcorn · pop_l123_all_gpt
correct 41_VariationalELBO.py
model
grok-4.3
turns / max
7 / 15
tool calls
7
tokens (total)
69076
wall clock
1471.3s
truncated
no
backend
cuda fp32
variant
popcorn
runtime
0.28 μs
ref runtime
0.34 μs
speedup
1.21x
started
2026-05-11T21:51:35Z
timingkernelbench.timing
kernel runtime
0.28 μs
ref runtime
0.34 μs
speedup
1.21x
kernel mean / median / std
0.28 / — / 0.01 μs
ref mean / median / std
0.34 / — / 0.04 μs
numerical precisioneval_kernel_against_ref
max abs error
1.22e-04
mean abs error
1.19e-05
max rel error
1.29e-06
mean rel error
1.25e-07
gpu memoryextended_metrics.measure_memory
kernel peak
37.34 MB
ref peak
37.60 MB
kernel / ref
0.99x
kernel launches / fusiontorch.profiler
kernel launches
25
ref launches
61
fusion ratio (ref / kernel)
2.44x
total cuda time
468 μs
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.311
dram util %
5.8%
compute util %
31.1%
bottleneck
compute-bound
dominant pipe
FP32
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
192.75 GB/s
dram util %
5.8%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
125.2%
bottleneck
compute-bound
dominant pipe %
31.1%
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
1210.2%
ld sectors / req
101.83
st sectors / req
—
regs / thread
369
smem / block
14336 B
block size
2688
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
long_scoreboard
20352.8%
short_scoreboard
2544.6%
mio_throttle
71.4%
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 0190.7s turn · 19.8s LLM · 170.8s tools · tokens in=2,233 · out=6 · total=3,411
reasoning
The task is to replace the forward computation of this VAE ELBO model with a custom CUDA kernel. The ModelNew must match the constructor and forward signature, be numerically equivalent in fp32, and f...I need to replace the forward computation of a VAE ELBO model with a cu... The task involves creating a ModelNew class that mirrors the original Model's constructor and forward signature, ensuring numerical equivalence in FP32 and improved speed using a custom CUDA kernel. The model includes an encoder with a linear layer and ReLU followed by two linear layers for mu and logvar, then sampling z = mu + std * randn, and a decoder with two linear layers and a sigmoid. The forward pass computes BCE reconstruction loss, KL divergence, and ELBO = -(recon + kl), returning elbo, recon, kl. To achieve this 1. Accept same args: probably init with dims, create corresponding nn.Linear instances internally. 2. Forward takes x (batch, input_dim), returns tuple (elbo, recon, kl). 3. Use custom CUDA kernel for the computation to make it faster. I'll use torch.utils.cpp_extension.
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) · 241.2s turn · 24.5s LLM · tokens in=3,644 · out=1,891 · total=5,694 · 8,112 chars (click to expand)
turn 1241.2s turn · 24.5s LLM · 216.7s tools · tokens in=3,644 · out=1,891 · total=5,694
reasoning
It's an H100, great for tensor cores but since fp32, and no tensor core for fp32 really needed.
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\n__global__ void linear_relu_kernel(const float* x, const float* w, const float* b, float* h, int batch, int in_dim, int out_dim) {\n int row = blockIdx.x * blockDim.x + threadIdx.x;\n int col = blockIdx.y * blockDim.y + threadIdx.y;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n h[row * out_dim + col] = fmaxf(sum, 0.0f);\n }\n}\n\n__global__ void linear_kernel(const float* x, const float* w, const float* b, float* out, int batch, int in_dim, int out_dim) {\n int row = blockIdx.x * blockDim.x + threadIdx.x;\n int col = blockIdx.y * blockDim.y + threadIdx.y;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n out[row * out_dim + col] = sum;\n }\n}\n\n__global__ void sample_and_kl_recon_prep(const float* mu, const float* logvar, float* z, float* kl, int batch, int latent) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < batch * latent) {\n int b = idx / latent;\n float m = mu[idx];\n float lv = logvar[idx];\n float std = expf(0.5f * lv);\n curandState state;\n curand_init(42, idx, 0, &state);\n float eps = curand_normal(&state);\n z[idx] = m + std * eps;\n // partial for kl\n atomicAdd(&kl[b], -0.5f * (1.0f + lv - m*m - expf(lv)));\n }\n}\n\n__global__ void sigmoid_bce_sum(const float* logits, const float* target, float* recon, int batch, int dim) {\n int b = blockIdx.x * blockDim.x + threadIdx.x;\n if (b < batch) {\n float sum = 0.0f;\n for (int i = 0; i < dim; i++) {\n float lg = logits[b * dim + i];\n float xr = 1.0f / (1.0f + expf(-lg));\n float t = target[b * dim + i];\n sum += -t * logf(xr + 1e-12f) - (1-t) * logf(1 - xr + 1e-12f);\n }\n recon[b] = sum;\n }\n}\n\ntorch::Tensor vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2) {\n int batch = x.size(0);\n int input_dim = x.size(1);\n int hidden = w_enc.size(0);\n int latent = w_mu.size(0);\n \n auto options = torch::TensorOptions().device(x.device()).dtype(torch::kFloat32);\n auto h = torch::empty({batch, hidden}, options);\n auto mu = torch::empty({batch, latent}, options);\n auto logvar = torch::empty({batch, latent}, options);\n auto z = torch::empty({batch, latent}, options);\n auto kl = torch::zeros({batch}, options);\n auto h2 = torch::empty({batch, hidden}, options);\n auto logits = torch::empty({batch, input_dim}, options);\n auto recon = torch::empty({batch}, options);\n auto elbo = torch::empty({batch}, options);\n \n dim3 block(16, 16);\n dim3 grid_enc((batch + 15)/16, (hidden + 15)/16);\n linear_relu_kernel<<<grid_enc, block>>>(x.data_ptr<float>(), w_enc.data_ptr<float>(), b_enc.data_ptr<float>(), h.data_ptr<float>(), batch, input_dim, hidden);\n \n dim3 grid_mu((batch + 15)/16, (latent + 15)/16);\n linear_kernel<<<grid_mu, block>>>(h.data_ptr<float>(), w_mu.data_ptr<float>(), b_mu.data_ptr<float>(), mu.data_ptr<float>(), batch, hidden, latent);\n linear_kernel<<<grid_mu, block>>>(h.data_ptr<float>(), w_logvar.data_ptr<float>(), b_logvar.data_ptr<float>(), logvar.data_ptr<float>(), batch, hidden, latent);\n \n sample_and_kl_recon_prep<<<(batch*latent + 255)/256, 256>>>(mu.data_ptr<float>(), logvar.data_ptr<float>(), z.data_ptr<float>(), kl.data_ptr<float>(), batch, latent);\n \n dim3 grid_dec((batch + 15)/16, (hidden + 15)/16);\n linear_relu_kernel<<<grid_dec, block>>>(z.data_ptr<float>(), w_dec1.data_ptr<float>(), b_dec1.data_ptr<float>(), h2.data_ptr<float>(), batch, latent, hidden);\n \n dim3 grid_out((batch + 15)/16, (input_dim + 15)/16);\n linear_kernel<<<grid_out, block>>>(h2.data_ptr<float>(), w_dec2.data_ptr<float>(), b_dec2.data_ptr<float>(), logits.data_ptr<float>(), batch, hidden, input_dim);\n \n sigmoid_bce_sum<<<(batch + 255)/256, 256>>>(logits.data_ptr<float>(), x.data_ptr<float>(), recon.data_ptr<float>(), batch, input_dim);\n \n // compute elbo\n auto kl_sum = kl; // already summed per batch? wait fix later\n // for simplicity return placeholder\n return torch::stack({-(recon + kl), recon, kl}, 0);\n}\n\"\"\"\n\ncpp_source = \"\"\"\ntorch::Tensor vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2);\n\"\"\"\n\nmodule = load_inline(\n name=\"vae_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"vae_forward\"],\n verbose=True,\n extra_cuda_cflags=[\"-O3\"]\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 self.input_dim = input_dim\n self.hidden_dim = hidden_dim\n self.latent_dim = latent_dim\n\n def forward(self, x):\n w_enc = self.encoder[0].weight\n b_enc = self.encoder[0].bias\n w_mu = self.fc_mu.weight\n b_mu = self.fc_mu.bias\n w_logvar = self.fc_logvar.weight\n b_logvar = self.fc_logvar.bias\n w_dec1 = self.decoder[0].weight\n b_dec1 = self.decoder[0].bias\n w_dec2 = self.decoder[2].weight\n b_dec2 = self.decoder[2].bias\n out = module.vae_forward(x, w_enc, b_enc, w_mu, b_mu, w_logvar, b_logvar, w_dec1, b_dec1, w_dec2, b_dec2)\n # out is stacked, need to split\n elbo = out[0]\n recon = out[1]\n kl = out[2]\n return elbo, recon, kl\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 2 · 1 tool call(s) · 167.3s turn · 13.4s LLM · tokens in=5,711 · out=1,829 · total=7,604 · 8,297 chars (click to expand)
turn 2167.3s turn · 13.4s LLM · 154.0s tools · tokens in=5,711 · out=1,829 · total=7,604
reasoning
It compiled, but there are bugs in the code: the return is wrong, kl computation is incomplete (atomicAdd but kl init zero, and return stack wrong), also sample uses fixed seed, not good for rand.
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 <curand_kernel.h>\n\n__global__ void linear_relu_kernel(const float* x, const float* w, const float* b, float* h, int batch, int in_dim, int out_dim) {\n int row = blockIdx.x * blockDim.x + threadIdx.x;\n int col = blockIdx.y * blockDim.y + threadIdx.y;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n h[row * out_dim + col] = fmaxf(sum, 0.0f);\n }\n}\n\n__global__ void linear_kernel(const float* x, const float* w, const float* b, float* out, int batch, int in_dim, int out_dim) {\n int row = blockIdx.x * blockDim.x + threadIdx.x;\n int col = blockIdx.y * blockDim.y + threadIdx.y;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n out[row * out_dim + col] = sum;\n }\n}\n\n__global__ void sample_kl_kernel(const float* mu, const float* logvar, float* z, float* kl, int batch, int latent) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < batch) {\n float klsum = 0.0f;\n for (int j = 0; j < latent; j++) {\n int id = idx * latent + j;\n float m = mu[id];\n float lv = logvar[id];\n float std = expf(0.5f * lv);\n curandState state;\n curand_init(42 + id, 0, 0, &state);\n float eps = curand_normal(&state);\n z[id] = m + std * eps;\n klsum += -0.5f * (1.0f + lv - m*m - expf(lv));\n }\n kl[idx] = klsum;\n }\n}\n\n__global__ void sigmoid_bce_sum(const float* logits, const float* target, float* recon, int batch, int dim) {\n int b = blockIdx.x * blockDim.x + threadIdx.x;\n if (b < batch) {\n float sum = 0.0f;\n for (int i = 0; i < dim; i++) {\n float lg = logits[b * dim + i];\n float xr = 1.0f / (1.0f + expf(-lg));\n float t = target[b * dim + i];\n sum += -t * logf(xr + 1e-12f) - (1-t) * logf(1 - xr + 1e-12f);\n }\n recon[b] = sum;\n }\n}\n\nstd::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2) {\n int batch = x.size(0);\n int input_dim = x.size(1);\n int hidden = w_enc.size(0);\n int latent = w_mu.size(0);\n \n auto options = torch::TensorOptions().device(x.device()).dtype(torch::kFloat32);\n auto h = torch::empty({batch, hidden}, options);\n auto mu = torch::empty({batch, latent}, options);\n auto logvar = torch::empty({batch, latent}, options);\n auto z = torch::empty({batch, latent}, options);\n auto kl = torch::zeros({batch}, options);\n auto h2 = torch::empty({batch, hidden}, options);\n auto logits = torch::empty({batch, input_dim}, options);\n auto recon = torch::empty({batch}, options);\n \n dim3 block(16, 16);\n dim3 grid_enc((batch + 15)/16, (hidden + 15)/16);\n linear_relu_kernel<<<grid_enc, block>>>(x.data_ptr<float>(), w_enc.data_ptr<float>(), b_enc.data_ptr<float>(), h.data_ptr<float>(), batch, input_dim, hidden);\n \n dim3 grid_mu((batch + 15)/16, (latent + 15)/16);\n linear_kernel<<<grid_mu, block>>>(h.data_ptr<float>(), w_mu.data_ptr<float>(), b_mu.data_ptr<float>(), mu.data_ptr<float>(), batch, hidden, latent);\n linear_kernel<<<grid_mu, block>>>(h.data_ptr<float>(), w_logvar.data_ptr<float>(), b_logvar.data_ptr<float>(), logvar.data_ptr<float>(), batch, hidden, latent);\n \n sample_kl_kernel<<<(batch + 255)/256, 256>>>(mu.data_ptr<float>(), logvar.data_ptr<float>(), z.data_ptr<float>(), kl.data_ptr<float>(), batch, latent);\n \n dim3 grid_dec((batch + 15)/16, (hidden + 15)/16);\n linear_relu_kernel<<<grid_dec, block>>>(z.data_ptr<float>(), w_dec1.data_ptr<float>(), b_dec1.data_ptr<float>(), h2.data_ptr<float>(), batch, latent, hidden);\n \n dim3 grid_out((batch + 15)/16, (input_dim + 15)/16);\n linear_kernel<<<grid_out, block>>>(h2.data_ptr<float>(), w_dec2.data_ptr<float>(), b_dec2.data_ptr<float>(), logits.data_ptr<float>(), batch, hidden, input_dim);\n \n sigmoid_bce_sum<<<(batch + 255)/256, 256>>>(logits.data_ptr<float>(), x.data_ptr<float>(), recon.data_ptr<float>(), batch, input_dim);\n \n auto elbo = -(recon + kl);\n return {elbo, recon, kl};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2);\n\"\"\"\n\nmodule = load_inline(\n name=\"vae_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"vae_forward\"],\n verbose=True,\n extra_cuda_cflags=[\"-O3\"]\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 def forward(self, x):\n w_enc = self.encoder[0].weight\n b_enc = self.encoder[0].bias\n w_mu = self.fc_mu.weight\n b_mu = self.fc_mu.bias\n w_logvar = self.fc_logvar.weight\n b_logvar = self.fc_logvar.bias\n w_dec1 = self.decoder[0].weight\n b_dec1 = self.decoder[0].bias\n w_dec2 = self.decoder[2].weight\n b_dec2 = self.decoder[2].bias\n outs = module.vae_forward(x.contiguous(), w_enc, b_enc, w_mu, b_mu, w_logvar, b_logvar, w_dec1, b_dec1, w_dec2, b_dec2)\n return tuple(outs)\n" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 3) trials did not all match. correctness_issue: Output mismatch max_difference: ['8.655701', '8.655701', '7.905762', '7.905762', '8.099609', '8.099609'] avg_difference: ['2.473760', '2.473760', '2.443546', '2.443546', '2.594422', '2.594422']
turn 3 · 1 tool call(s) · 323.5s turn · 25.8s LLM · tokens in=7,713 · out=1,848 · total=10,042 · 8,302 chars (click to expand)
turn 3323.5s turn · 25.8s LLM · 297.7s tools · tokens in=7,713 · out=1,848 · total=10,042
reasoning
Failed due to mismatch, mainly because of naive matmul (row-major issue? w is stored as out x in, yes), and also sampling random different. I tried replacing the forward computation of the PyTorch model with a custom CUDA kernel for the ModelNew class, ensuring it takes the same inputs and has the same forward signature. The goal was to produce numerically equivalent outputs at FP32 precision, matching the original model's computation of ELBO, reconstruction, and KL divergence.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void linear_relu_kernel(const float* x, const float* w, const float* b, float* h, int batch, int in_dim, int out_dim) {\n int row = blockIdx.y;\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n h[row * out_dim + col] = fmaxf(sum, 0.0f);\n }\n}\n\n__global__ void linear_kernel(const float* x, const float* w, const float* b, float* out, int batch, int in_dim, int out_dim) {\n int row = blockIdx.y;\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n out[row * out_dim + col] = sum;\n }\n}\n\n__global__ void sample_kl_kernel(const float* mu, const float* logvar, const float* eps, float* z, float* kl, int batch, int latent) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < batch * latent) {\n int b = idx / latent;\n float m = mu[idx];\n float lv = logvar[idx];\n float std = expf(0.5f * lv);\n float e = eps[idx];\n z[idx] = m + std * e;\n atomicAdd(&kl[b], -0.5f * (1.0f + lv - m*m - expf(lv)));\n }\n}\n\n__global__ void sigmoid_bce_sum(const float* logits, const float* target, float* recon, int batch, int dim) {\n extern __shared__ float sdata[];\n int b = blockIdx.x;\n float sum = 0.0f;\n for (int i = threadIdx.x; i < dim; i += blockDim.x) {\n float lg = logits[b * dim + i];\n float xr = 1.0f / (1.0f + expf(-lg));\n float t = target[b * dim + i];\n sum += -t * logf(xr + 1e-12f) - (1-t) * logf(1.0f - xr + 1e-12f);\n }\n sdata[threadIdx.x] = sum;\n __syncthreads();\n for (int s = blockDim.x/2; s > 0; s >>= 1) {\n if (threadIdx.x < s) sdata[threadIdx.x] += sdata[threadIdx.x + s];\n __syncthreads();\n }\n if (threadIdx.x == 0) recon[b] = sdata[0];\n}\n\nstd::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2, torch::Tensor eps) {\n int batch = x.size(0);\n int input_dim = x.size(1);\n int hidden = w_enc.size(0);\n int latent = w_mu.size(0);\n \n auto options = torch::TensorOptions().device(x.device()).dtype(torch::kFloat32);\n auto h = torch::empty({batch, hidden}, options);\n auto mu = torch::empty({batch, latent}, options);\n auto logvar = torch::empty({batch, latent}, options);\n auto z = torch::empty({batch, latent}, options);\n auto kl = torch::zeros({batch}, options);\n auto h2 = torch::empty({batch, hidden}, options);\n auto logits = torch::empty({batch, input_dim}, options);\n auto recon = torch::empty({batch}, options);\n \n dim3 block(256);\n dim3 grid_mu((latent + 255)/256, batch);\n linear_relu_kernel<<<grid_mu, block>>>(x.data_ptr<float>(), w_enc.data_ptr<float>(), b_enc.data_ptr<float>(), h.data_ptr<float>(), batch, input_dim, hidden);\n \n linear_kernel<<<grid_mu, block>>>(h.data_ptr<float>(), w_mu.data_ptr<float>(), b_mu.data_ptr<float>(), mu.data_ptr<float>(), batch, hidden, latent);\n linear_kernel<<<grid_mu, block>>>(h.data_ptr<float>(), w_logvar.data_ptr<float>(), b_logvar.data_ptr<float>(), logvar.data_ptr<float>(), batch, hidden, latent);\n \n sample_kl_kernel<<<(batch * latent + 255)/256, 256>>>(mu.data_ptr<float>(), logvar.data_ptr<float>(), eps.data_ptr<float>(), z.data_ptr<float>(), kl.data_ptr<float>(), batch, latent);\n \n dim3 grid_dec((hidden + 255)/256, batch);\n linear_relu_kernel<<<grid_dec, block>>>(z.data_ptr<float>(), w_dec1.data_ptr<float>(), b_dec1.data_ptr<float>(), h2.data_ptr<float>(), batch, latent, hidden);\n \n dim3 grid_out((input_dim + 255)/256, batch);\n linear_kernel<<<grid_out, block>>>(h2.data_ptr<float>(), w_dec2.data_ptr<float>(), b_dec2.data_ptr<float>(), logits.data_ptr<float>(), batch, hidden, input_dim);\n \n sigmoid_bce_sum<<<batch, 256, 256*sizeof(float)>>>(logits.data_ptr<float>(), x.data_ptr<float>(), recon.data_ptr<float>(), batch, input_dim);\n \n auto elbo = -(recon + kl);\n return {elbo, recon, kl};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2, torch::Tensor eps);\n\"\"\"\n\nmodule = load_inline(\n name=\"vae_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"vae_forward\"],\n verbose=True,\n extra_cuda_cflags=[\"-O3\"]\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 def forward(self, x):\n w_enc = self.encoder[0].weight\n b_enc = self.encoder[0].bias\n w_mu = self.fc_mu.weight\n b_mu = self.fc_mu.bias\n w_logvar = self.fc_logvar.weight\n b_logvar = self.fc_logvar.bias\n w_dec1 = self.decoder[0].weight\n b_dec1 = self.decoder[0].bias\n w_dec2 = self.decoder[2].weight\n b_dec2 = self.decoder[2].bias\n h = self.encoder(x)\n mu = self.fc_mu(h)\n logvar = self.fc_logvar(h)\n std = torch.exp(0.5 * logvar)\n eps = torch.randn_like(std)\n outs = module.vae_forward(x.contiguous(), w_enc, b_enc, w_mu, b_mu, w_logvar, b_logvar, w_dec1, b_dec1, w_dec2, b_dec2, eps)\n return tuple(outs)\n" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 4 · 1 tool call(s) · 91.1s turn · 18.2s LLM · tokens in=10,059 · out=1,849 · total=11,946 · 8,039 chars (click to expand)
turn 491.1s turn · 18.2s LLM · 72.9s tools · tokens in=10,059 · out=1,849 · total=11,946
reasoning
Still likely wrong because grid for linear is ( (out+255)/256 , batch ), block 256, and thread col = block*256 +tid , yes.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void linear_relu_kernel(const float* x, const float* w, const float* b, float* h, int batch, int in_dim, int out_dim) {\n int row = blockIdx.y;\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n h[row * out_dim + col] = fmaxf(sum, 0.0f);\n }\n}\n\n__global__ void linear_kernel(const float* x, const float* w, const float* b, float* out, int batch, int in_dim, int out_dim) {\n int row = blockIdx.y;\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n out[row * out_dim + col] = sum;\n }\n}\n\n__global__ void sample_kl_kernel(const float* mu, const float* logvar, const float* eps, float* z, float* kl, int batch, int latent) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < batch * latent) {\n int b = idx / latent;\n float m = mu[idx];\n float lv = logvar[idx];\n float std = expf(0.5f * lv);\n float e = eps[idx];\n z[idx] = m + std * e;\n atomicAdd(&kl[b], -0.5f * (1.0f + lv - m*m - expf(lv)));\n }\n}\n\n__global__ void sigmoid_bce_sum(const float* logits, const float* target, float* recon, int batch, int dim) {\n extern __shared__ float sdata[];\n int b = blockIdx.x;\n float sum = 0.0f;\n for (int i = threadIdx.x; i < dim; i += blockDim.x) {\n float lg = logits[b * dim + i];\n float xr = 1.0f / (1.0f + expf(-lg));\n float t = target[b * dim + i];\n sum += -t * logf(xr + 1e-12f) - (1-t) * logf(1.0f - xr + 1e-12f);\n }\n sdata[threadIdx.x] = sum;\n __syncthreads();\n for (int s = blockDim.x/2; s > 0; s >>= 1) {\n if (threadIdx.x < s) sdata[threadIdx.x] += sdata[threadIdx.x + s];\n __syncthreads();\n }\n if (threadIdx.x == 0) recon[b] = sdata[0];\n}\n\nstd::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2, torch::Tensor eps) {\n int batch = x.size(0);\n int input_dim = x.size(1);\n int hidden = w_enc.size(0);\n int latent = w_mu.size(0);\n \n auto options = torch::TensorOptions().device(x.device()).dtype(torch::kFloat32);\n auto h = torch::empty({batch, hidden}, options);\n auto mu = torch::empty({batch, latent}, options);\n auto logvar = torch::empty({batch, latent}, options);\n auto z = torch::empty({batch, latent}, options);\n auto kl = torch::zeros({batch}, options);\n auto h2 = torch::empty({batch, hidden}, options);\n auto logits = torch::empty({batch, input_dim}, options);\n auto recon = torch::empty({batch}, options);\n \n dim3 block(256);\n dim3 grid_mu((latent + 255)/256, batch);\n linear_relu_kernel<<<grid_mu, block>>>(x.data_ptr<float>(), w_enc.data_ptr<float>(), b_enc.data_ptr<float>(), h.data_ptr<float>(), batch, input_dim, hidden);\n \n linear_kernel<<<grid_mu, block>>>(h.data_ptr<float>(), w_mu.data_ptr<float>(), b_mu.data_ptr<float>(), mu.data_ptr<float>(), batch, hidden, latent);\n linear_kernel<<<grid_mu, block>>>(h.data_ptr<float>(), w_logvar.data_ptr<float>(), b_logvar.data_ptr<float>(), logvar.data_ptr<float>(), batch, hidden, latent);\n \n sample_kl_kernel<<<(batch * latent + 255)/256, 256>>>(mu.data_ptr<float>(), logvar.data_ptr<float>(), eps.data_ptr<float>(), z.data_ptr<float>(), kl.data_ptr<float>(), batch, latent);\n \n dim3 grid_dec((hidden + 255)/256, batch);\n linear_relu_kernel<<<grid_dec, block>>>(z.data_ptr<float>(), w_dec1.data_ptr<float>(), b_dec1.data_ptr<float>(), h2.data_ptr<float>(), batch, latent, hidden);\n \n dim3 grid_out((input_dim + 255)/256, batch);\n linear_kernel<<<grid_out, block>>>(h2.data_ptr<float>(), w_dec2.data_ptr<float>(), b_dec2.data_ptr<float>(), logits.data_ptr<float>(), batch, hidden, input_dim);\n \n sigmoid_bce_sum<<<batch, 256, 256*sizeof(float)>>>(logits.data_ptr<float>(), x.data_ptr<float>(), recon.data_ptr<float>(), batch, input_dim);\n \n auto elbo = -(recon + kl);\n return {elbo, recon, kl};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2, torch::Tensor eps);\n\"\"\"\n\nmodule = load_inline(\n name=\"vae_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"vae_forward\"],\n verbose=True,\n extra_cuda_cflags=[\"-O3\"]\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 def forward(self, x):\n w_enc = self.encoder[0].weight\n b_enc = self.encoder[0].bias\n w_mu = self.fc_mu.weight\n b_mu = self.fc_mu.bias\n w_logvar = self.fc_logvar.weight\n b_logvar = self.fc_logvar.bias\n w_dec1 = self.decoder[0].weight\n b_dec1 = self.decoder[0].bias\n w_dec2 = self.decoder[2].weight\n b_dec2 = self.decoder[2].bias\n h = self.encoder(x)\n mu = self.fc_mu(h)\n logvar = self.fc_logvar(h)\n std = torch.exp(0.5 * logvar)\n eps = torch.randn_like(std)\n outs = module.vae_forward(x.contiguous(), w_enc, b_enc, w_mu, b_mu, w_logvar, b_logvar, w_dec1, b_dec1, w_dec2, b_dec2, eps)\n return tuple(outs)\n" }
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=1.29e-06
turn 5 · 1 tool call(s) · 177.8s turn · 17.1s LLM · tokens in=12,006 · out=1,848 · total=13,917 · 9,454 chars (click to expand)
turn 5177.8s turn · 17.1s LLM · 160.6s tools · tokens in=12,006 · out=1,848 · total=13,917
reasoning
Great, it passes correctness (using same eps).
call → profile_kernel
callprofile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void linear_relu_kernel(const float* x, const float* w, const float* b, float* h, int batch, int in_dim, int out_dim) {\n int row = blockIdx.y;\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n h[row * out_dim + col] = fmaxf(sum, 0.0f);\n }\n}\n\n__global__ void linear_kernel(const float* x, const float* w, const float* b, float* out, int batch, int in_dim, int out_dim) {\n int row = blockIdx.y;\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n out[row * out_dim + col] = sum;\n }\n}\n\n__global__ void sample_kl_kernel(const float* mu, const float* logvar, const float* eps, float* z, float* kl, int batch, int latent) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < batch * latent) {\n int b = idx / latent;\n float m = mu[idx];\n float lv = logvar[idx];\n float std = expf(0.5f * lv);\n float e = eps[idx];\n z[idx] = m + std * e;\n atomicAdd(&kl[b], -0.5f * (1.0f + lv - m*m - expf(lv)));\n }\n}\n\n__global__ void sigmoid_bce_sum(const float* logits, const float* target, float* recon, int batch, int dim) {\n extern __shared__ float sdata[];\n int b = blockIdx.x;\n float sum = 0.0f;\n for (int i = threadIdx.x; i < dim; i += blockDim.x) {\n float lg = logits[b * dim + i];\n float xr = 1.0f / (1.0f + expf(-lg));\n float t = target[b * dim + i];\n sum += -t * logf(xr + 1e-12f) - (1-t) * logf(1.0f - xr + 1e-12f);\n }\n sdata[threadIdx.x] = sum;\n __syncthreads();\n for (int s = blockDim.x/2; s > 0; s >>= 1) {\n if (threadIdx.x < s) sdata[threadIdx.x] += sdata[threadIdx.x + s];\n __syncthreads();\n }\n if (threadIdx.x == 0) recon[b] = sdata[0];\n}\n\nstd::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2, torch::Tensor eps) {\n int batch = x.size(0);\n int input_dim = x.size(1);\n int hidden = w_enc.size(0);\n int latent = w_mu.size(0);\n \n auto options = torch::TensorOptions().device(x.device()).dtype(torch::kFloat32);\n auto h = torch::empty({batch, hidden}, options);\n auto mu = torch::empty({batch, latent}, options);\n auto logvar = torch::empty({batch, latent}, options);\n auto z = torch::empty({batch, latent}, options);\n auto kl = torch::zeros({batch}, options);\n auto h2 = torch::empty({batch, hidden}, options);\n auto logits = torch::empty({batch, input_dim}, options);\n auto recon = torch::empty({batch}, options);\n \n dim3 block(256);\n dim3 grid_mu((latent + 255)/256, batch);\n linear_relu_kernel<<<grid_mu, block>>>(x.data_ptr<float>(), w_enc.data_ptr<float>(), b_enc.data_ptr<float>(), h.data_ptr<float>(), batch, input_dim, hidden);\n \n linear_kernel<<<grid_mu, block>>>(h.data_ptr<float>(), w_mu.data_ptr<float>(), b_mu.data_ptr<float>(), mu.data_ptr<float>(), batch, hidden, latent);\n linear_kernel<<<grid_mu, block>>>(h.data_ptr<float>(), w_logvar.data_ptr<float>(), b_logvar.data_ptr<float>(), logvar.data_ptr<float>(), batch, hidden, latent);\n \n sample_kl_kernel<<<(batch * latent + 255)/256, 256>>>(mu.data_ptr<float>(), logvar.data_ptr<float>(), eps.data_ptr<float>(), z.data_ptr<float>(), kl.data_ptr<float>(), batch, latent);\n \n dim3 grid_dec((hidden + 255)/256, batch);\n linear_relu_kernel<<<grid_dec, block>>>(z.data_ptr<float>(), w_dec1.data_ptr<float>(), b_dec1.data_ptr<float>(), h2.data_ptr<float>(), batch, latent, hidden);\n \n dim3 grid_out((input_dim + 255)/256, batch);\n linear_kernel<<<grid_out, block>>>(h2.data_ptr<float>(), w_dec2.data_ptr<float>(), b_dec2.data_ptr<float>(), logits.data_ptr<float>(), batch, hidden, input_dim);\n \n sigmoid_bce_sum<<<batch, 256, 256*sizeof(float)>>>(logits.data_ptr<float>(), x.data_ptr<float>(), recon.data_ptr<float>(), batch, input_dim);\n \n auto elbo = -(recon + kl);\n return {elbo, recon, kl};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2, torch::Tensor eps);\n\"\"\"\n\nmodule = load_inline(\n name=\"vae_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"vae_forward\"],\n verbose=True,\n extra_cuda_cflags=[\"-O3\"]\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 def forward(self, x):\n w_enc = self.encoder[0].weight\n b_enc = self.encoder[0].bias\n w_mu = self.fc_mu.weight\n b_mu = self.fc_mu.bias\n w_logvar = self.fc_logvar.weight\n b_logvar = self.fc_logvar.bias\n w_dec1 = self.decoder[0].weight\n b_dec1 = self.decoder[0].bias\n w_dec2 = self.decoder[2].weight\n b_dec2 = self.decoder[2].bias\n h = self.encoder(x)\n mu = self.fc_mu(h)\n logvar = self.fc_logvar(h)\n std = torch.exp(0.5 * logvar)\n eps = torch.randn_like(std)\n outs = module.vae_forward(x.contiguous(), w_enc, b_enc, w_mu, b_mu, w_logvar, b_logvar, w_dec1, b_dec1, w_dec2, b_dec2, eps)\n return tuple(outs)\n" }
result ← profile_kernel (ok)
okprofile_kernel profile_kernel PASSED: profiling complete. === Kernel Profile Summary === --- Kernel Breakdown (by GPU time) --- #1: aten::linear 62425.0μs (30%) calls=1 #2: aten::addmm 62284.0μs (30%) calls=1 #3: aten::relu 13682.0μs (7%) calls=1 #4: aten::clamp_min 13648.0μs (7%) calls=1 #5: aten::exp 11418.0μs (6%) calls=1 ... +31 more kernels --- Timing --- GPU time: 343.30 μs --- Memory Bandwidth --- DRAM BW: 594.5/3350 GB/s (17.7%) read=594.5 write=0.0 GB/s Hit rates: L2=2037.5% --- Compute Throughput --- Dominant pipe: FP32 util=73.8% Pipe util: FMA=73.8%, Tensor=2.1% --- Roofline Analysis --- Ridge point (FP32): 20.00 FLOPs/byte Classification: COMPUTE-BOUND --- Occupancy --- Achieved: 237.3% Eligible warps/cycle: 2.21 Launch: regs/thread=671, smem/blk=52992B, block=4992, grid=1427 --- Memory Access Quality --- Global ld coalescing: 166.90 sectors/req (166.9x wasted BW) --- Warp Stall Reasons (% of issue cycles) --- long_scoreboard 29804.0% #################### short_scoreboard 6187.6% #################### mio_throttle 74.9% ############## --- Optimization Hints --- -> 29804% stalls: global memory latency (waiting for DRAM/L2). + sectors/req=166.9 -> uncoalesced global loads, restructure access pattern or use __ldg Try shared-memory tiling, prefetching, or reducing working set. -> Global load coalescing=166.9x (ideal=1.0) -> 167x wasted DRAM BW. Make per-warp accesses contiguous. -> Compute-bound but NOT using tensor cores. If applicable, use FP16/BF16 with torch.matmul or WMMA intrinsics.
turn 6 · FINAL · 1 tool call(s) · 279.6s turn · 22.5s LLM · tokens in=14,446 · out=1,849 · total=16,462 · 8,271 chars (click to expand)
turn 6279.6s turn · 22.5s LLM · 257.2s tools · tokens in=14,446 · out=1,849 · total=16,462 · FINAL
reasoning
The profile shows it's still using many aten kernels because in forward I have h = self.encoder(x) etc before calling the module for losses.
call → submit_kernel
callsubmit_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n\n__global__ void linear_relu_kernel(const float* x, const float* w, const float* b, float* h, int batch, int in_dim, int out_dim) {\n int row = blockIdx.y;\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n h[row * out_dim + col] = fmaxf(sum, 0.0f);\n }\n}\n\n__global__ void linear_kernel(const float* x, const float* w, const float* b, float* out, int batch, int in_dim, int out_dim) {\n int row = blockIdx.y;\n int col = blockIdx.x * blockDim.x + threadIdx.x;\n if (row < batch && col < out_dim) {\n float sum = b[col];\n for (int i = 0; i < in_dim; i++) {\n sum += x[row * in_dim + i] * w[col * in_dim + i];\n }\n out[row * out_dim + col] = sum;\n }\n}\n\n__global__ void sample_kl_kernel(const float* mu, const float* logvar, const float* eps, float* z, float* kl, int batch, int latent) {\n int idx = blockIdx.x * blockDim.x + threadIdx.x;\n if (idx < batch * latent) {\n int b = idx / latent;\n float m = mu[idx];\n float lv = logvar[idx];\n float std = expf(0.5f * lv);\n float e = eps[idx];\n z[idx] = m + std * e;\n atomicAdd(&kl[b], -0.5f * (1.0f + lv - m*m - expf(lv)));\n }\n}\n\n__global__ void sigmoid_bce_sum(const float* logits, const float* target, float* recon, int batch, int dim) {\n extern __shared__ float sdata[];\n int b = blockIdx.x;\n float sum = 0.0f;\n for (int i = threadIdx.x; i < dim; i += blockDim.x) {\n float lg = logits[b * dim + i];\n float xr = 1.0f / (1.0f + expf(-lg));\n float t = target[b * dim + i];\n sum += -t * logf(xr + 1e-12f) - (1-t) * logf(1.0f - xr + 1e-12f);\n }\n sdata[threadIdx.x] = sum;\n __syncthreads();\n for (int s = blockDim.x/2; s > 0; s >>= 1) {\n if (threadIdx.x < s) sdata[threadIdx.x] += sdata[threadIdx.x + s];\n __syncthreads();\n }\n if (threadIdx.x == 0) recon[b] = sdata[0];\n}\n\nstd::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2, torch::Tensor eps) {\n int batch = x.size(0);\n int input_dim = x.size(1);\n int hidden = w_enc.size(0);\n int latent = w_mu.size(0);\n \n auto options = torch::TensorOptions().device(x.device()).dtype(torch::kFloat32);\n auto h = torch::empty({batch, hidden}, options);\n auto mu = torch::empty({batch, latent}, options);\n auto logvar = torch::empty({batch, latent}, options);\n auto z = torch::empty({batch, latent}, options);\n auto kl = torch::zeros({batch}, options);\n auto h2 = torch::empty({batch, hidden}, options);\n auto logits = torch::empty({batch, input_dim}, options);\n auto recon = torch::empty({batch}, options);\n \n dim3 block(256);\n dim3 grid_enc((hidden + 255)/256, batch);\n linear_relu_kernel<<<grid_enc, block>>>(x.data_ptr<float>(), w_enc.data_ptr<float>(), b_enc.data_ptr<float>(), h.data_ptr<float>(), batch, input_dim, hidden);\n \n dim3 grid_lat((latent + 255)/256, batch);\n linear_kernel<<<grid_lat, block>>>(h.data_ptr<float>(), w_mu.data_ptr<float>(), b_mu.data_ptr<float>(), mu.data_ptr<float>(), batch, hidden, latent);\n linear_kernel<<<grid_lat, block>>>(h.data_ptr<float>(), w_logvar.data_ptr<float>(), b_logvar.data_ptr<float>(), logvar.data_ptr<float>(), batch, hidden, latent);\n \n sample_kl_kernel<<<(batch * latent + 255)/256, 256>>>(mu.data_ptr<float>(), logvar.data_ptr<float>(), eps.data_ptr<float>(), z.data_ptr<float>(), kl.data_ptr<float>(), batch, latent);\n \n dim3 grid_dec((hidden + 255)/256, batch);\n linear_relu_kernel<<<grid_dec, block>>>(z.data_ptr<float>(), w_dec1.data_ptr<float>(), b_dec1.data_ptr<float>(), h2.data_ptr<float>(), batch, latent, hidden);\n \n dim3 grid_out((input_dim + 255)/256, batch);\n linear_kernel<<<grid_out, block>>>(h2.data_ptr<float>(), w_dec2.data_ptr<float>(), b_dec2.data_ptr<float>(), logits.data_ptr<float>(), batch, hidden, input_dim);\n \n sigmoid_bce_sum<<<batch, 256, 256*sizeof(float)>>>(logits.data_ptr<float>(), x.data_ptr<float>(), recon.data_ptr<float>(), batch, input_dim);\n \n auto elbo = -(recon + kl);\n return {elbo, recon, kl};\n}\n\"\"\"\n\ncpp_source = \"\"\"\nstd::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,\n torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,\n torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2, torch::Tensor eps);\n\"\"\"\n\nmodule = load_inline(\n name=\"vae_cuda\",\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=[\"vae_forward\"],\n verbose=True,\n extra_cuda_cflags=[\"-O3\"]\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 def forward(self, x):\n w_enc = self.encoder[0].weight\n b_enc = self.encoder[0].bias\n w_mu = self.fc_mu.weight\n b_mu = self.fc_mu.bias\n w_logvar = self.fc_logvar.weight\n b_logvar = self.fc_logvar.bias\n w_dec1 = self.decoder[0].weight\n b_dec1 = self.decoder[0].bias\n w_dec2 = self.decoder[2].weight\n b_dec2 = self.decoder[2].bias\n std = torch.exp(torch.zeros_like(self.fc_mu.bias)) # dummy\n eps = torch.randn_like(std.expand(x.size(0), -1))\n outs = module.vae_forward(x.contiguous(), w_enc, b_enc, w_mu, b_mu, w_logvar, b_logvar, w_dec1, b_dec1, w_dec2, b_dec2, eps)\n return tuple(outs)\n" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (3 / 3) correctness trials all passed. Kernel runtime: 0.28 μs Runtime stats: mean=0.28μs median=?μs std=0.01μs Numerical precision: max_abs_err=1.22e-04 mean_abs_err=1.19e-05 max_rel_err=1.29e-06 Memory: 37.34 MB peak (ref: 37.6 MB, ratio: 0.9932x) Kernel launches: 25 (ref: 61, fusion ratio: 2.44) SOL score: 0.3109
final submitted kernel (154 lines, 6,477 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

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

__global__ void linear_relu_kernel(const float* x, const float* w, const float* b, float* h, int batch, int in_dim, int out_dim) {
    int row = blockIdx.y;
    int col = blockIdx.x * blockDim.x + threadIdx.x;
    if (row < batch && col < out_dim) {
        float sum = b[col];
        for (int i = 0; i < in_dim; i++) {
            sum += x[row * in_dim + i] * w[col * in_dim + i];
        }
        h[row * out_dim + col] = fmaxf(sum, 0.0f);
    }
}

__global__ void linear_kernel(const float* x, const float* w, const float* b, float* out, int batch, int in_dim, int out_dim) {
    int row = blockIdx.y;
    int col = blockIdx.x * blockDim.x + threadIdx.x;
    if (row < batch && col < out_dim) {
        float sum = b[col];
        for (int i = 0; i < in_dim; i++) {
            sum += x[row * in_dim + i] * w[col * in_dim + i];
        }
        out[row * out_dim + col] = sum;
    }
}

__global__ void sample_kl_kernel(const float* mu, const float* logvar, const float* eps, float* z, float* kl, int batch, int latent) {
    int idx = blockIdx.x * blockDim.x + threadIdx.x;
    if (idx < batch * latent) {
        int b = idx / latent;
        float m = mu[idx];
        float lv = logvar[idx];
        float std = expf(0.5f * lv);
        float e = eps[idx];
        z[idx] = m + std * e;
        atomicAdd(&kl[b], -0.5f * (1.0f + lv - m*m - expf(lv)));
    }
}

__global__ void sigmoid_bce_sum(const float* logits, const float* target, float* recon, int batch, int dim) {
    extern __shared__ float sdata[];
    int b = blockIdx.x;
    float sum = 0.0f;
    for (int i = threadIdx.x; i < dim; i += blockDim.x) {
        float lg = logits[b * dim + i];
        float xr = 1.0f / (1.0f + expf(-lg));
        float t = target[b * dim + i];
        sum += -t * logf(xr + 1e-12f) - (1-t) * logf(1.0f - xr + 1e-12f);
    }
    sdata[threadIdx.x] = sum;
    __syncthreads();
    for (int s = blockDim.x/2; s > 0; s >>= 1) {
        if (threadIdx.x < s) sdata[threadIdx.x] += sdata[threadIdx.x + s];
        __syncthreads();
    }
    if (threadIdx.x == 0) recon[b] = sdata[0];
}

std::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,
                          torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,
                          torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2, torch::Tensor eps) {
    int batch = x.size(0);
    int input_dim = x.size(1);
    int hidden = w_enc.size(0);
    int latent = w_mu.size(0);
    
    auto options = torch::TensorOptions().device(x.device()).dtype(torch::kFloat32);
    auto h = torch::empty({batch, hidden}, options);
    auto mu = torch::empty({batch, latent}, options);
    auto logvar = torch::empty({batch, latent}, options);
    auto z = torch::empty({batch, latent}, options);
    auto kl = torch::zeros({batch}, options);
    auto h2 = torch::empty({batch, hidden}, options);
    auto logits = torch::empty({batch, input_dim}, options);
    auto recon = torch::empty({batch}, options);
    
    dim3 block(256);
    dim3 grid_enc((hidden + 255)/256, batch);
    linear_relu_kernel<<<grid_enc, block>>>(x.data_ptr<float>(), w_enc.data_ptr<float>(), b_enc.data_ptr<float>(), h.data_ptr<float>(), batch, input_dim, hidden);
    
    dim3 grid_lat((latent + 255)/256, batch);
    linear_kernel<<<grid_lat, block>>>(h.data_ptr<float>(), w_mu.data_ptr<float>(), b_mu.data_ptr<float>(), mu.data_ptr<float>(), batch, hidden, latent);
    linear_kernel<<<grid_lat, block>>>(h.data_ptr<float>(), w_logvar.data_ptr<float>(), b_logvar.data_ptr<float>(), logvar.data_ptr<float>(), batch, hidden, latent);
    
    sample_kl_kernel<<<(batch * latent + 255)/256, 256>>>(mu.data_ptr<float>(), logvar.data_ptr<float>(), eps.data_ptr<float>(), z.data_ptr<float>(), kl.data_ptr<float>(), batch, latent);
    
    dim3 grid_dec((hidden + 255)/256, batch);
    linear_relu_kernel<<<grid_dec, block>>>(z.data_ptr<float>(), w_dec1.data_ptr<float>(), b_dec1.data_ptr<float>(), h2.data_ptr<float>(), batch, latent, hidden);
    
    dim3 grid_out((input_dim + 255)/256, batch);
    linear_kernel<<<grid_out, block>>>(h2.data_ptr<float>(), w_dec2.data_ptr<float>(), b_dec2.data_ptr<float>(), logits.data_ptr<float>(), batch, hidden, input_dim);
    
    sigmoid_bce_sum<<<batch, 256, 256*sizeof(float)>>>(logits.data_ptr<float>(), x.data_ptr<float>(), recon.data_ptr<float>(), batch, input_dim);
    
    auto elbo = -(recon + kl);
    return {elbo, recon, kl};
}
"""

cpp_source = """
std::vector<torch::Tensor> vae_forward(torch::Tensor x, torch::Tensor w_enc, torch::Tensor b_enc,
                          torch::Tensor w_mu, torch::Tensor b_mu, torch::Tensor w_logvar, torch::Tensor b_logvar,
                          torch::Tensor w_dec1, torch::Tensor b_dec1, torch::Tensor w_dec2, torch::Tensor b_dec2, torch::Tensor eps);
"""

module = load_inline(
    name="vae_cuda",
    cpp_sources=cpp_source,
    cuda_sources=cuda_source,
    functions=["vae_forward"],
    verbose=True,
    extra_cuda_cflags=["-O3"]
)

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(),
        )

    def forward(self, x):
        w_enc = self.encoder[0].weight
        b_enc = self.encoder[0].bias
        w_mu = self.fc_mu.weight
        b_mu = self.fc_mu.bias
        w_logvar = self.fc_logvar.weight
        b_logvar = self.fc_logvar.bias
        w_dec1 = self.decoder[0].weight
        b_dec1 = self.decoder[0].bias
        w_dec2 = self.decoder[2].weight
        b_dec2 = self.decoder[2].bias
        std = torch.exp(torch.zeros_like(self.fc_mu.bias)) # dummy
        eps = torch.randn_like(std.expand(x.size(0), -1))
        outs = module.vae_forward(x.contiguous(), w_enc, b_enc, w_mu, b_mu, w_logvar, b_logvar, w_dec1, b_dec1, w_dec2, b_dec2, eps)
        return tuple(outs)