FW-GLM-5-1 · popcorn · pop_l123_default_gpt
correct 44_ReparameterizationTrick.py
model
FW-GLM-5-1
turns / max
11 / 12
tool calls
11
tokens (total)
210215
wall clock
2221.4s
truncated
no
backend
cuda fp32
variant
popcorn
runtime
0.15 μs
ref runtime
0.44 μs
speedup
2.90x
started
2026-05-11T11:16:24Z
timingkernelbench.timing
kernel runtime
0.15 μs
ref runtime
0.44 μs
speedup
2.90x
kernel mean / median / std
0.15 / — / 0.02 μs
ref mean / median / std
0.44 / — / 0.02 μs
numerical precisioneval_kernel_against_ref
max abs error
1.53e-05
mean abs error
7.11e-08
max rel error
7.04e-04
mean rel error
1.08e-07
gpu memoryextended_metrics.measure_memory
kernel peak
33.63 MB
ref peak
34.69 MB
kernel / ref
0.97x
kernel launches / fusiontorch.profiler
kernel launches
57
ref launches
113
fusion ratio (ref / kernel)
1.98x
total cuda time
2015 μs
energyNVML (pynvml)
kernel mJ / run
242.64
ref mJ / run
1695.14
ratio (ref / kernel)
6.99x
avg power
1129.95 W
ref avg power
4215.35 W
SOL (speed-of-light)nsight_hardware_counters
SOL score (0–1)
0.511
dram util %
6.8%
compute util %
51.1%
bottleneck
compute-bound
dominant pipe
FP32
arithmetic intensity
—
ridge point
20.00
roofline / occupancynsight_hardware_counters
dram bandwidth
228.08 GB/s
dram util %
6.8%
fp32 tflops
—
fp32 util %
—
fp16 tflops
—
occupancy %
188.6%
bottleneck
compute-bound
dominant pipe %
51.1%
arithmetic intensity
—
ridge point
20.00
L1 hit %
—
L2 hit %
2019.2%
ld sectors / req
68.90
st sectors / req
—
regs / thread
642
smem / block
24320 B
block size
3778
peak bw
3350.00 GB/s
peak fp32 tflops
67.00
peak fp16 tflops
1979.00
warp stalls (top 5)nsight
short_scoreboard
5671.8%
long_scoreboard
5317.5%
mio_throttle
41.0%
reference PyTorch source (the prompt the agent sees)
import torch
import torch.nn as nn


class Model(nn.Module):
    """
    Reparameterization trick for differentiable sampling from a diagonal
    Gaussian.  Separates stochasticity from parameters so that gradients
    flow through mu and log_var.  Also demonstrates a "mixture of
    Gaussians" reparameterization with learnable component weights.
    """

    def __init__(self, latent_dim, num_components=1):
        super().__init__()
        self.latent_dim = latent_dim
        self.num_components = num_components
        if num_components > 1:
            self.logits = nn.Parameter(torch.zeros(num_components))

    def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:
        """
        Args:
            mu:      (B, K, D) or (B, D) – means
            log_var: (B, K, D) or (B, D) – log-variances
        Returns:
            (z, log_q_z):
                z:       (B, D) – sampled latents
                log_q_z: (B,)   – log-density of sample under q
        """
        std = torch.exp(0.5 * log_var)

        if self.num_components > 1 and mu.dim() == 3:
            weights = torch.softmax(self.logits, dim=0)  # (K,)
            # Sample component
            comp = torch.multinomial(weights.expand(mu.shape[0], -1), 1).squeeze(-1)
            batch_idx = torch.arange(mu.shape[0], device=mu.device)
            mu_k = mu[batch_idx, comp]
            std_k = std[batch_idx, comp]
            z = mu_k + std_k * torch.randn_like(mu_k)
            # log q(z) under mixture
            log_probs = -0.5 * ((z.unsqueeze(1) - mu) / std) ** 2 - log_var * 0.5 - 0.5 * torch.log(torch.tensor(2 * 3.14159265))
            log_probs = log_probs.sum(-1) + weights.log().unsqueeze(0)
            log_q_z = torch.logsumexp(log_probs, dim=1)
        else:
            if mu.dim() == 3:
                mu = mu[:, 0]
                std = std[:, 0]
                log_var = log_var[:, 0]
            z = mu + std * torch.randn_like(mu)
            log_q_z = (-0.5 * ((z - mu) / std) ** 2 - 0.5 * log_var - 0.5 * torch.log(torch.tensor(2 * 3.14159265))).sum(-1)

        return z, log_q_z


latent_dim = 64
num_components = 4
batch_size = 256


def get_inputs():
    p = popcorn_pri
    mu = torch.randn(p.jitter_int(batch_size), num_components, latent_dim)
    log_var = torch.randn(p.jitter_int(batch_size), num_components, latent_dim) * 0.5
    return [mu, log_var]


def get_init_inputs():
    return [latent_dim, num_components]
turn 0170.9s turn · 3.2s LLM · 167.7s tools · tokens in=1,896 · out=205 · total=2,101
reasoning
Let me understand this task: 1. I need to implement a custom CUDA kernel for the `Model` class which performs reparameterization trick for Gaussian sampling with mixture of Gaussians support. 2. The model takes `mu` and `log_var` tensors and returns sampled latents `z` and log-density `log_q_z`. 3. Key operations: - `std = torch.exp(0.5 * log_var)` - For mixture case (num_components > 1 and mu.dim() == 3): - Compute softmax weights from logits - Sample component using multinomial - Select mu and std based on sampled component - Sample z = mu_k + std_k * noise - Compute log q(z) under mixture (complex calculation) - For single component case: - Sample z = mu + std * noise - Compute log q(z) Let me start by getting GPU specs and then write a kernel.
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) · 286.4s turn · 42.2s LLM · tokens in=2,144 · out=4,478 · total=6,622 · 18,269 chars (click to expand)
turn 1286.4s turn · 42.2s LLM · 244.1s tools · tokens in=2,144 · out=4,478 · total=6,622
reasoning
Now let me understand the problem better. The model implements a mixture of Gaussians reparameterization trick. Let me write a CUDA kernel for this. Key operations: 1. When num_components > 1 and mu.dim() == 3: - Compute weights = softmax(logits) - Sample component for each batch element using multinomial - For each batch element, select the corresponding mu_k, std_k - z = mu_k + std_k * randn_like(mu_k) - Compute log q(z) under the mixture 2. When num_components == 1 or mu.dim() == 2: - Simple reparameterization: z = mu + std * randn_like(mu) - Compute log q(z) This is tricky because: 1. Multinomial sampling requires random number generation on GPU 2. We need to generate random normal samples on GPU 3. logsumexp for numerical stability Let me write a first version focusing on correctness first, then optimize. For the CUDA kernel, I'll need: 1. A kernel to compute std = exp(0.5 * log_var) 2. A kernel for multinomial sampling (using Gumbel-max trick or alias method) 3. A kernel to select components and compute z 4. A kernel to compute log q(z) Actually, let me think about this more carefully. The key computational parts are: - std = exp(0.5 * log_var) - elementwise - weights = softmax(logits) - multinomial sampling - this is complex - Selecting mu_k, std_k based on sampled component - z = mu_k + std_k * randn_like(mu_k) - log_probs computation and logsumexp For performance, I should try to fuse as many operations as possible. But let's start with correctness. Let me write a first version that: 1. Uses cuRAND for random number generation 2. Implements multinomial sampling 3. Computes all the needed outputs Actually, PyTorch already has good kernels for many of these operations. Maybe I should focus on the parts that are slow due to multiple kernel launches and fuse them. Looking at the reference: - torch.exp is one kernel - torch.softmax is one kernel (for weights) - torch.multinomial is another kernel - The indexing mu[batch_idx, comp] creates a new tensor - torch.randn_like generates random samples - The computation of log_probs involves many elementwise operations - logsumexp involves a reduce For optimization, I should: 1. Fuse the random normal generation with the z computation 2. Fuse the log_probs computation 3. Use a more efficient logsumexp But first, let me write a basic working version.
assistantLooking at this problem, I need to implement a mixture of Gaussians reparameterization trick with: 1. Softmax for component weights 2. Multinomial sampling for component selection 3. Random normal sampling 4. Log-density computation under mixture Let me start by writing a CUDA kernel that fuses these operations efficiently.
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <curand_kernel.h>\n#include <cfloat>\n#include <cmath>\n\n// Constants for log calculations\nconstexpr float LOG_2PI = 1.8378770664093453f; // log(2*pi)\nconstexpr float HALF_LOG_2PI = 0.9189385332046727f; // 0.5 * log(2*pi)\n\n// Initialize cuRAND states\n__global__ void init_curand_kernel(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// Compute softmax of logits\n__global__ void softmax_kernel(const float* logits, float* weights, int K) {\n extern __shared__ float smem[];\n \n // Find max for numerical stability\n float max_val = -FLT_MAX;\n for (int i = threadIdx.x; i < K; i += blockDim.x) {\n max_val = fmaxf(max_val, logits[i]);\n }\n \n // Block reduce for max\n smem[threadIdx.x] = max_val;\n __syncthreads();\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] = fmaxf(smem[threadIdx.x], smem[threadIdx.x + s]);\n }\n __syncthreads();\n }\n max_val = smem[0];\n \n // Compute exp and sum\n float sum = 0.0f;\n for (int i = threadIdx.x; i < K; i += blockDim.x) {\n sum += expf(logits[i] - max_val);\n }\n \n // Block reduce for sum\n smem[threadIdx.x] = sum;\n __syncthreads();\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] += smem[threadIdx.x + s];\n }\n __syncthreads();\n }\n sum = smem[0];\n \n // Write normalized weights\n for (int i = threadIdx.x; i < K; i += blockDim.x) {\n weights[i] = expf(logits[i] - max_val) / sum;\n }\n}\n\n// Sample from categorical distribution using inverse CDF\n__device__ int sample_categorical(float* probs, int K, float u) {\n float cumsum = 0.0f;\n for (int i = 0; i < K; i++) {\n cumsum += probs[i];\n if (u < cumsum) {\n return i;\n }\n }\n return K - 1; // Fallback\n}\n\n// Main kernel for mixture of Gaussians reparameterization\n__global__ void mixture_reparam_kernel(\n const float* __restrict__ mu, // (B, K, D)\n const float* __restrict__ log_var, // (B, K, D)\n const float* __restrict__ weights, // (K,)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int* __restrict__ components, // (B,) - sampled components\n curandState* states, // (B,)\n int B, int K, int D\n) {\n int b = blockIdx.x; // One block per batch element\n \n if (b >= B) return;\n \n // Each thread handles one batch element\n // Load curand state\n curandState local_state = states[b];\n \n // Sample component using inverse CDF\n float u = curand_uniform(&local_state);\n int comp = 0;\n float cumsum = 0.0f;\n for (int k = 0; k < K; k++) {\n cumsum += weights[k];\n if (u < cumsum) {\n comp = k;\n break;\n }\n }\n components[b] = comp;\n \n // Sample z for each dimension\n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * K * D + comp * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n // Box-Muller transform for normal random\n float u1 = curand_uniform(&local_state);\n float u2 = curand_uniform(&local_state);\n // Avoid log(0)\n while (u1 <= 0.0f) u1 = curand_uniform(&local_state);\n float rand_normal = sqrtf(-2.0f * logf(u1)) * cosf(2.0f * 3.14159265f * u2);\n \n z[b * D + d] = mu_val + std_val * rand_normal;\n }\n \n // Save state back\n if (threadIdx.x == 0) {\n states[b] = local_state;\n }\n __syncthreads();\n \n // Compute log q(z) under mixture\n // log_probs = -0.5 * ((z - mu) / std)^2 - 0.5 * log_var - 0.5 * log(2*pi)\n // Use shared memory for per-component sums\n extern __shared__ float smem[];\n float* comp_sums = smem; // K elements\n float* thread_sums = &smem[K]; // blockDim.x elements\n \n // Each thread computes partial sums for all components\n for (int k = threadIdx.x; k < K; k += blockDim.x) {\n comp_sums[k] = 0.0f;\n }\n __syncthreads();\n \n // Each thread computes contribution for dimensions it handles\n float my_sum[10]; // Max K components, assume K <= 10\n for (int k = 0; k < K; k++) {\n my_sum[k] = 0.0f;\n }\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n float z_val = z[b * D + d];\n for (int k = 0; k < K; k++) {\n int idx = b * K * D + k * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n my_sum[k] += log_prob_d;\n }\n }\n \n // Reduce within block for each component\n for (int k = 0; k < K; k++) {\n thread_sums[threadIdx.x] = my_sum[k];\n __syncthreads();\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n thread_sums[threadIdx.x] += thread_sums[threadIdx.x + s];\n }\n __syncthreads();\n }\n if (threadIdx.x == 0) {\n comp_sums[k] = thread_sums[0] + logf(weights[k]);\n }\n __syncthreads();\n }\n \n // Compute logsumexp using parallel reduction\n if (threadIdx.x == 0) {\n float max_val = -FLT_MAX;\n for (int k = 0; k < K; k++) {\n max_val = fmaxf(max_val, comp_sums[k]);\n }\n \n float sum_exp = 0.0f;\n for (int k = 0; k < K; k++) {\n sum_exp += expf(comp_sums[k] - max_val);\n }\n log_q_z[b] = max_val + logf(sum_exp);\n }\n}\n\n// Simple reparameterization kernel (no mixture)\n__global__ void simple_reparam_kernel(\n const float* __restrict__ mu, // (B, D)\n const float* __restrict__ log_var, // (B, D)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n curandState* states, // (B,)\n int B, int D\n) {\n int b = blockIdx.x; // One block per batch element\n \n if (b >= B) return;\n \n curandState local_state = states[b];\n \n // Shared memory for reduction\n extern __shared__ float smem[];\n float& thread_sum = smem[threadIdx.x];\n \n thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n // Box-Muller transform\n float u1 = curand_uniform(&local_state);\n float u2 = curand_uniform(&local_state);\n while (u1 <= 0.0f) u1 = curand_uniform(&local_state);\n float rand_normal = sqrtf(-2.0f * logf(u1)) * cosf(2.0f * 3.14159265f * u2);\n \n float z_val = mu_val + std_val * rand_normal;\n z[idx] = z_val;\n \n // Compute log prob contribution\n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n thread_sum += log_prob_d;\n }\n \n // Save state\n if (threadIdx.x == 0) {\n states[b] = local_state;\n }\n \n __syncthreads();\n \n // Block reduce\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] += smem[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n log_q_z[b] = smem[0];\n }\n}\n\n// Host functions\nvoid init_curand_cuda(curandState* states, unsigned long long seed, int n) {\n int threads = 256;\n int blocks = (n + threads - 1) / threads;\n init_curand_kernel<<<blocks, threads>>>(states, seed, n);\n}\n\nvoid softmax_cuda(const float* logits, float* weights, int K) {\n int threads = 256;\n softmax_kernel<<<1, threads, threads * sizeof(float)>>>(logits, weights, K);\n}\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* weights,\n float* z, float* log_q_z, int* components,\n curandState* states, int B, int K, int D\n) {\n int threads = 256;\n size_t shared_mem = (K + threads) * sizeof(float);\n mixture_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, weights, z, log_q_z, components, states, B, K, D\n );\n}\n\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var,\n float* z, float* log_q_z,\n curandState* states, int B, int D\n) {\n int threads = 256;\n size_t shared_mem = threads * sizeof(float);\n simple_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, z, log_q_z, states, B, D\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\n#include <torch/extension.h>\n#include <curand_kernel.h>\n\n// Declare functions\nvoid init_curand_cuda(curandState* states, unsigned long long seed, int n);\nvoid softmax_cuda(const float* logits, float* weights, int K);\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* weights,\n float* z, float* log_q_z, int* components,\n curandState* states, int B, int K, int D\n);\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var,\n float* z, float* log_q_z,\n curandState* states, int B, int D\n);\n\n// Wrapper functions for PyTorch\nvoid init_curand(torch::Tensor states, unsigned long long seed, int n) {\n init_curand_cuda(reinterpret_cast<curandState*>(states.data_ptr()), seed, n);\n}\n\nvoid softmax_weights(torch::Tensor logits, torch::Tensor weights, int K) {\n softmax_cuda(logits.data_ptr<float>(), weights.data_ptr<float>(), K);\n}\n\nvoid mixture_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor weights,\n torch::Tensor z, torch::Tensor log_q_z, torch::Tensor components,\n torch::Tensor states, int B, int K, int D\n) {\n mixture_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), weights.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), components.data_ptr<int>(),\n reinterpret_cast<curandState*>(states.data_ptr()), B, K, D\n );\n}\n\nvoid simple_reparam(\n torch::Tensor mu, torch::Tensor log_var,\n torch::Tensor z, torch::Tensor log_q_z,\n torch::Tensor states, int B, int D\n) {\n simple_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(),\n reinterpret_cast<curandState*>(states.data_ptr()), B, D\n );\n}\n\"\"\"\n\nmodule = load_inline(\n name='reparam_cuda',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['init_curand', 'softmax_weights', 'mixture_reparam', 'simple_reparam'],\n extra_cuda_cflags=['-O3', '--use_fast_math', '-I/usr/local/cuda/include'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Reparameterization trick for differentiable sampling from a diagonal\n Gaussian. Uses custom CUDA kernels for better performance.\n \"\"\"\n\n def __init__(self, latent_dim, num_components=1):\n super().__init__()\n self.latent_dim = latent_dim\n self.num_components = num_components\n if num_components > 1:\n self.logits = nn.Parameter(torch.zeros(num_components))\n \n # Allocate cuRAND states (one per batch element, max batch 1024)\n self.max_batch = 1024\n self.curand_states = torch.empty(self.max_batch * 256, dtype=torch.uint8, device='cuda')\n module.init_curand(self.curand_states, 42, self.max_batch)\n self._seed = 42\n\n def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:\n B = mu.shape[0]\n K = self.num_components\n D = self.latent_dim\n \n # Ensure inputs are on GPU\n if not mu.is_cuda:\n mu = mu.cuda()\n log_var = log_var.cuda()\n \n # Ensure contiguous\n mu = mu.contiguous()\n log_var = log_var.contiguous()\n \n # Re-initialize curand states if batch size changed\n if B > self.max_batch:\n self.max_batch = B * 2\n self.curand_states = torch.empty(self.max_batch * 256, dtype=torch.uint8, device='cuda')\n self._seed += 1\n module.init_curand(self.curand_states, self._seed, self.max_batch)\n \n if K > 1 and mu.dim() == 3:\n # Mixture of Gaussians case\n weights = torch.softmax(self.logits, dim=0)\n \n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n components = torch.empty(B, dtype=torch.int32, device=mu.device)\n \n module.mixture_reparam(\n mu.float(), log_var.float(), weights.float(),\n z.float(), log_q_z.float(), components.int(),\n self.curand_states, B, K, D\n )\n else:\n # Simple case\n if mu.dim() == 3:\n mu = mu[:, 0]\n log_var = log_var[:, 0]\n \n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n module.simple_reparam(\n mu.float(), log_var.float(),\n z.float(), log_q_z.float(),\n self.curand_states, B, D\n )\n \n return z, log_q_z" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 2 · 1 tool call(s) · 118.6s turn · 30.3s LLM · tokens in=6,069 · out=3,867 · total=9,936 · 16,140 chars (click to expand)
turn 2118.6s turn · 30.3s LLM · 88.3s tools · tokens in=6,069 · out=3,867 · total=9,936
reasoning
Good, compilation passed. Now let me run the correctness check to see if the kernel produces correct results.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <curand_kernel.h>\n#include <cfloat>\n#include <cmath>\n\n// Constants for log calculations\nconstexpr float LOG_2PI = 1.8378770664093453f; // log(2*pi)\nconstexpr float HALF_LOG_2PI = 0.9189385332046727f; // 0.5 * log(2*pi)\n\n// Initialize cuRAND states\n__global__ void init_curand_kernel(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// Compute softmax of logits\n__global__ void softmax_kernel(const float* logits, float* weights, int K) {\n extern __shared__ float smem[];\n \n // Find max for numerical stability\n float max_val = -FLT_MAX;\n for (int i = threadIdx.x; i < K; i += blockDim.x) {\n max_val = fmaxf(max_val, logits[i]);\n }\n \n // Block reduce for max\n smem[threadIdx.x] = max_val;\n __syncthreads();\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] = fmaxf(smem[threadIdx.x], smem[threadIdx.x + s]);\n }\n __syncthreads();\n }\n max_val = smem[0];\n \n // Compute exp and sum\n float sum = 0.0f;\n for (int i = threadIdx.x; i < K; i += blockDim.x) {\n sum += expf(logits[i] - max_val);\n }\n \n // Block reduce for sum\n smem[threadIdx.x] = sum;\n __syncthreads();\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] += smem[threadIdx.x + s];\n }\n __syncthreads();\n }\n sum = smem[0];\n \n // Write normalized weights\n for (int i = threadIdx.x; i < K; i += blockDim.x) {\n weights[i] = expf(logits[i] - max_val) / sum;\n }\n}\n\n// Sample from categorical distribution using inverse CDF\n__device__ int sample_categorical(float* probs, int K, float u) {\n float cumsum = 0.0f;\n for (int i = 0; i < K; i++) {\n cumsum += probs[i];\n if (u < cumsum) {\n return i;\n }\n }\n return K - 1; // Fallback\n}\n\n// Main kernel for mixture of Gaussians reparameterization\n__global__ void mixture_reparam_kernel(\n const float* __restrict__ mu, // (B, K, D)\n const float* __restrict__ log_var, // (B, K, D)\n const float* __restrict__ weights, // (K,)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int* __restrict__ components, // (B,) - sampled components\n curandState* states, // (B,)\n int B, int K, int D\n) {\n int b = blockIdx.x; // One block per batch element\n \n if (b >= B) return;\n \n // Each thread handles one batch element\n // Load curand state\n curandState local_state = states[b];\n \n // Sample component using inverse CDF\n float u = curand_uniform(&local_state);\n int comp = 0;\n float cumsum = 0.0f;\n for (int k = 0; k < K; k++) {\n cumsum += weights[k];\n if (u < cumsum) {\n comp = k;\n break;\n }\n }\n components[b] = comp;\n \n // Sample z for each dimension\n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * K * D + comp * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n // Box-Muller transform for normal random\n float u1 = curand_uniform(&local_state);\n float u2 = curand_uniform(&local_state);\n // Avoid log(0)\n while (u1 <= 0.0f) u1 = curand_uniform(&local_state);\n float rand_normal = sqrtf(-2.0f * logf(u1)) * cosf(2.0f * 3.14159265f * u2);\n \n z[b * D + d] = mu_val + std_val * rand_normal;\n }\n \n // Save state back\n if (threadIdx.x == 0) {\n states[b] = local_state;\n }\n __syncthreads();\n \n // Compute log q(z) under mixture\n // log_probs = -0.5 * ((z - mu) / std)^2 - 0.5 * log_var - 0.5 * log(2*pi)\n // Use shared memory for per-component sums\n extern __shared__ float smem[];\n float* comp_sums = smem; // K elements\n float* thread_sums = &smem[K]; // blockDim.x elements\n \n // Each thread computes partial sums for all components\n for (int k = threadIdx.x; k < K; k += blockDim.x) {\n comp_sums[k] = 0.0f;\n }\n __syncthreads();\n \n // Each thread computes contribution for dimensions it handles\n float my_sum[10]; // Max K components, assume K <= 10\n for (int k = 0; k < K; k++) {\n my_sum[k] = 0.0f;\n }\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n float z_val = z[b * D + d];\n for (int k = 0; k < K; k++) {\n int idx = b * K * D + k * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n my_sum[k] += log_prob_d;\n }\n }\n \n // Reduce within block for each component\n for (int k = 0; k < K; k++) {\n thread_sums[threadIdx.x] = my_sum[k];\n __syncthreads();\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n thread_sums[threadIdx.x] += thread_sums[threadIdx.x + s];\n }\n __syncthreads();\n }\n if (threadIdx.x == 0) {\n comp_sums[k] = thread_sums[0] + logf(weights[k]);\n }\n __syncthreads();\n }\n \n // Compute logsumexp using parallel reduction\n if (threadIdx.x == 0) {\n float max_val = -FLT_MAX;\n for (int k = 0; k < K; k++) {\n max_val = fmaxf(max_val, comp_sums[k]);\n }\n \n float sum_exp = 0.0f;\n for (int k = 0; k < K; k++) {\n sum_exp += expf(comp_sums[k] - max_val);\n }\n log_q_z[b] = max_val + logf(sum_exp);\n }\n}\n\n// Simple reparameterization kernel (no mixture)\n__global__ void simple_reparam_kernel(\n const float* __restrict__ mu, // (B, D)\n const float* __restrict__ log_var, // (B, D)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n curandState* states, // (B,)\n int B, int D\n) {\n int b = blockIdx.x; // One block per batch element\n \n if (b >= B) return;\n \n curandState local_state = states[b];\n \n // Shared memory for reduction\n extern __shared__ float smem[];\n float& thread_sum = smem[threadIdx.x];\n \n thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n // Box-Muller transform\n float u1 = curand_uniform(&local_state);\n float u2 = curand_uniform(&local_state);\n while (u1 <= 0.0f) u1 = curand_uniform(&local_state);\n float rand_normal = sqrtf(-2.0f * logf(u1)) * cosf(2.0f * 3.14159265f * u2);\n \n float z_val = mu_val + std_val * rand_normal;\n z[idx] = z_val;\n \n // Compute log prob contribution\n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n thread_sum += log_prob_d;\n }\n \n // Save state\n if (threadIdx.x == 0) {\n states[b] = local_state;\n }\n \n __syncthreads();\n \n // Block reduce\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] += smem[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n log_q_z[b] = smem[0];\n }\n}\n\n// Host functions\nvoid init_curand_cuda(curandState* states, unsigned long long seed, int n) {\n int threads = 256;\n int blocks = (n + threads - 1) / threads;\n init_curand_kernel<<<blocks, threads>>>(states, seed, n);\n}\n\nvoid softmax_cuda(const float* logits, float* weights, int K) {\n int threads = 256;\n softmax_kernel<<<1, threads, threads * sizeof(float)>>>(logits, weights, K);\n}\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* weights,\n float* z, float* log_q_z, int* components,\n curandState* states, int B, int K, int D\n) {\n int threads = 256;\n size_t shared_mem = (K + threads) * sizeof(float);\n mixture_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, weights, z, log_q_z, components, states, B, K, D\n );\n}\n\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var,\n float* z, float* log_q_z,\n curandState* states, int B, int D\n) {\n int threads = 256;\n size_t shared_mem = threads * sizeof(float);\n simple_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, z, log_q_z, states, B, D\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\n#include <torch/extension.h>\n#include <curand_kernel.h>\n\n// Declare functions\nvoid init_curand_cuda(curandState* states, unsigned long long seed, int n);\nvoid softmax_cuda(const float* logits, float* weights, int K);\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* weights,\n float* z, float* log_q_z, int* components,\n curandState* states, int B, int K, int D\n);\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var,\n float* z, float* log_q_z,\n curandState* states, int B, int D\n);\n\n// Wrapper functions for PyTorch\nvoid init_curand(torch::Tensor states, unsigned long long seed, int n) {\n init_curand_cuda(reinterpret_cast<curandState*>(states.data_ptr()), seed, n);\n}\n\nvoid softmax_weights(torch::Tensor logits, torch::Tensor weights, int K) {\n softmax_cuda(logits.data_ptr<float>(), weights.data_ptr<float>(), K);\n}\n\nvoid mixture_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor weights,\n torch::Tensor z, torch::Tensor log_q_z, torch::Tensor components,\n torch::Tensor states, int B, int K, int D\n) {\n mixture_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), weights.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), components.data_ptr<int>(),\n reinterpret_cast<curandState*>(states.data_ptr()), B, K, D\n );\n}\n\nvoid simple_reparam(\n torch::Tensor mu, torch::Tensor log_var,\n torch::Tensor z, torch::Tensor log_q_z,\n torch::Tensor states, int B, int D\n) {\n simple_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(),\n reinterpret_cast<curandState*>(states.data_ptr()), B, D\n );\n}\n\"\"\"\n\nmodule = load_inline(\n name='reparam_cuda',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['init_curand', 'softmax_weights', 'mixture_reparam', 'simple_reparam'],\n extra_cuda_cflags=['-O3', '--use_fast_math', '-I/usr/local/cuda/include'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Reparameterization trick for differentiable sampling from a diagonal\n Gaussian. Uses custom CUDA kernels for better performance.\n \"\"\"\n\n def __init__(self, latent_dim, num_components=1):\n super().__init__()\n self.latent_dim = latent_dim\n self.num_components = num_components\n if num_components > 1:\n self.logits = nn.Parameter(torch.zeros(num_components))\n \n # Allocate cuRAND states (one per batch element, max batch 1024)\n self.max_batch = 1024\n self.curand_states = torch.empty(self.max_batch * 256, dtype=torch.uint8, device='cuda')\n module.init_curand(self.curand_states, 42, self.max_batch)\n self._seed = 42\n\n def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:\n B = mu.shape[0]\n K = self.num_components\n D = self.latent_dim\n \n # Ensure inputs are on GPU\n if not mu.is_cuda:\n mu = mu.cuda()\n log_var = log_var.cuda()\n \n # Ensure contiguous\n mu = mu.contiguous()\n log_var = log_var.contiguous()\n \n # Re-initialize curand states if batch size changed\n if B > self.max_batch:\n self.max_batch = B * 2\n self.curand_states = torch.empty(self.max_batch * 256, dtype=torch.uint8, device='cuda')\n self._seed += 1\n module.init_curand(self.curand_states, self._seed, self.max_batch)\n \n if K > 1 and mu.dim() == 3:\n # Mixture of Gaussians case\n weights = torch.softmax(self.logits, dim=0)\n \n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n components = torch.empty(B, dtype=torch.int32, device=mu.device)\n \n module.mixture_reparam(\n mu.float(), log_var.float(), weights.float(),\n z.float(), log_q_z.float(), components.int(),\n self.curand_states, B, K, D\n )\n else:\n # Simple case\n if mu.dim() == 3:\n mu = mu[:, 0]\n log_var = log_var[:, 0]\n \n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n module.simple_reparam(\n mu.float(), log_var.float(),\n z.float(), log_q_z.float(),\n self.curand_states, B, D\n )\n \n return z, log_q_z" }
result ← run_correctness (fail)
failrun_correctness run_correctness FAILED: (0 / 5) trials did not all match. correctness_issue: Output mismatch max_difference: ['9.290386', '402.105804', '8.426566', '296.194855', '8.124651', '258.085938', '11.559277', '359.789001', '9.029021', '272.235016'] avg_difference: ['1.572025', '33.451557', '1.492771', '32.067860', '1.530622', '33.001709', '1.537688', '32.127590', '1.527417', '31.639589']
turn 3 · 1 tool call(s) · 235.4s turn · 61.7s LLM · tokens in=10,106 · out=6,316 · total=16,422 · 25,577 chars (click to expand)
turn 3235.4s turn · 61.7s LLM · 173.7s tools · tokens in=10,106 · out=6,316 · total=16,422
reasoning
The correctness failed. The output doesn't match the reference. The differences are substantial, which suggests there's something fundamentally wrong with the computation. Looking at the reference more carefully: 1. In the mixture case, the reference uses `torch.randn_like(mu_k)` which generates random normals 2. Then for `log_q_z`, it computes log_probs for each dimension and each component The issue might be: 1. Different random number generation between PyTorch and cuRAND 2. Numerical differences in the log density calculation Actually wait - the outputs will always differ because of random sampling! The problem states "numerically equivalent outputs" but random sampling will never produce identical outputs. Let me re-read the problem... Hmm, but the reference also uses random sampling. The tolerance should account for this since both are sampling from the same distribution. But wait - the tolerance is fp32: atol=rtol=1e-4, which is very tight. Let me think about this differently. The "correctness" test must be checking that the *distribution* is correct, not the exact random values. Or perhaps it's checking the log density computation. Actually, looking at the max_difference, the first column seems to be around 1-12 (z values) and the second column is very large (100-400, log_q_z). The log_q_z differences are huge, suggesting the computation is wrong. Let me trace through the reference computation for log_q_z: In the reference: ```python log_probs = -0.5 * ((z.unsqueeze(1) - mu) / std) ** 2 - log_var * 0.5 - 0.5 * torch.log(torch.tensor(2 * 3.14159265)) log_probs = log_probs.sum(-1) + weights.log().unsqueeze(0) log_q_z = torch.logsumexp(log_probs, dim=1) ``` So: 1. log_probs has shape (B, K, D) 2. sum over D gives shape (B, K) 3. Add log(weights) gives shape (B, K) 4. logsumexp over K gives (B,) In my kernel: 1. I compute the log prob for each dimension and component 2. Sum over dimensions for each component 3. Add log(weight) 4. Compute logsumexp The math seems correct. Let me check if there's an issue with the constant: Reference uses: `-0.5 * torch.log(torch.tensor(2 * 3.14159265))` This equals `-0.5 * 1.837877... = -0.9189...` My constant HALF_LOG_2PI = 0.9189385332046727f So the reference formula is: `-0.5 * ((z-mu)/std)^2 - 0.5 * log_var - 0.5 * log(2*pi)` That's what I have too! Wait, I see the issue! The reference divides by std, not std^2. And the term `(z-mu)/std` squared is correct. But I compute `diff = (z_val - mu_val) / std_val` which should be equivalent. Let me check: `log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI` That's: `-0.5 * ((z-mu)/std)^2 - 0.5 * log_var - 0.5 * log(2*pi)` Which matches! Hmm, the issue might be in how I'm storing/retrieving values. Let me look at indexing: In the reference: - `mu[batch_idx, comp]` selects component for sampled batch - `z` is computed from that - Then `log_probs` uses `z.unsqueeze(1) - mu` which broadcasts z (B, D) to (B, 1, D) and mu is (B, K, D) Wait, there's a critical issue! In my kernel, I'm reading from `z[b * D + d]` but I need to make sure z is written correctly before reading. Actually, there's a race condition! In the kernel: 1. Thread 0-255 write z values 2. Then `__syncthreads()` is called 3. Then threads read z values But the __syncthreads() should synchronize all threads in the block, so this should be fine. Actually wait, I see another issue! In the second phase where I compute log probs, I'm using `z[b * D + d]` but the threads are reading z values that were just written. The issue is that I call `__syncthreads()` but it's called AFTER saving the state, which thread 0 does. But all threads participate in writing z values before that... Actually no, let me trace through again: ```cuda // Sample z for each dimension for (int d = threadIdx.x; d < D; d += blockDim.x) { ... z[b * D + d] = mu_val + std_val * rand_normal; } // Save state back if (threadIdx.x == 0) { states[b] = local_state; } __syncthreads(); // Compute log q(z) under mixture ``` So all threads write to z (their assigned dimensions), then __syncthreads() is called, then all threads read from z. This should be fine. Wait, there might be an issue with the formula. Let me double-check: Reference: `-0.5 * ((z - mu) / std) ** 2 - log_var * 0.5 - 0.5 * torch.log(torch.tensor(2 * 3.14159265))` Breaking this down: - `(z - mu) / std` = difference from mean normalized by std - Squared, then multiplied by -0.5 - `log_var * 0.5` is the log of the variance divided by 2 - `- 0.5 * log(2*pi)` is the normalizing constant Actually wait! In the reference, it says `- log_var * 0.5`, not `- 0.5 * log_var`. These are the same mathematically but let me check... `log_var * 0.5` = `0.5 * log_var` = same thing. But looking more carefully at the normal distribution: log N(x | mu, sigma^2) = -0.5 * ((x - mu)^2 / sigma^2) - 0.5 * log(sigma^2) - 0.5 * log(2*pi) = -0.5 * ((x - mu) / sigma)^2 - 0.5 * log_var - 0.5 * log(2*pi) OK that's what I have. Let me look at another issue - maybe the weights.log() is wrong? In the reference: ```python log_probs = log_probs.sum(-1) + weights.log().unsqueeze(0) ``` So weights is (K,), weights.log() is (K,), then unsqueeze to (1, K), and broadcast to (B, K). In my kernel, I add `logf(weights[k])` to the sum for each component, which should be equivalent. Hmm, let me check the test more carefully. The output shows pairs of values. Looking at the first test: max_difference: ['9.290386', '402.105804', ...] avg_difference: ['1.572025', '33.451557', ...] This suggests two outputs: z and log_q_z. The z differences are small (max 9.3, avg 1.6) but the log_q_z differences are huge (max 402, avg 33). Since both implementations sample from the same distribution, z values should differ but not too much. The log_q_z is computed deterministically from z, mu, log_var, and weights - so this should match exactly (or close to it for numerical precision). The huge difference in log_q_z suggests my log density computation is wrong. Let me think... Oh! I see the issue now! In the reference: ```python log_probs = -0.5 * ((z.unsqueeze(1) - mu) / std) ** 2 - log_var * 0.5 - 0.5 * torch.log(torch.tensor(2 * 3.14159265)) ``` Note that `std = torch.exp(0.5 * log_var)`, so: - `std` has shape (B, K, D) - When we compute `log_var * 0.5`, this is `log_var` which also has shape (B, K, D) In my kernel, for the log density computation, I'm iterating over all K components, and for each component I'm using: - `mu[idx]` where idx = b * K * D + k * D + d - `log_var[idx]` same - `std_val = expf(0.5f * log_var_val)` That looks correct... Wait, I think I need to double-check the computation in the simple case first. Let me also check that the simple case is matching, because if that doesn't match, the mixture definitely won't either. Actually, the correctness test shows 5 trials. Each trial seems to have 2 outputs (z and log_q_z). Let me re-examine... Actually I wonder if the issue is that I'm using int32 for components but the function expects int. Let me fix that and other potential issues. Also, I realize there might be numerical precision issues with my implementation. Let me rewrite with more careful attention to numerical stability. Actually, I wonder if the problem is that the test is running multiple trials and the random seeds differ each time. The "correctness" test might be comparing outputs from the same input but with different random states... Let me think about this more carefully. When testing: 1. Both implementations get the same mu and log_var inputs 2. Both sample random z values 3. Both compute log_q_z from z If the random seeds are different, z values will differ. Then log_q_z should differ correspondingly based on the actual z sampled. But the problem says "numerically equivalent outputs". If the outputs differ due to randomness, they can't be numerically equivalent! So perhaps the test is: 1. Set a fixed seed 2. Run both implementations 3. Compare outputs In that case, I need to use the same random seed/state as PyTorch. But PyTorch uses its own RNG which is different from cuRAND. Actually, let me re-read the tolerance: "fp32 uses atol=rtol=1e-4". This is very tight tolerance, which wouldn't work for random samples from the same distribution... I'm confused about how the test is supposed to work. Let me just try to make my implementation match the reference more closely. One thing I notice: I'm using float (fp32) internally but then casting back. Let me make sure all computations are done correctly. Actually, I think the issue is simpler. Let me check the reference implementation again for the simple case: ```python z = mu + std * torch.randn_like(mu) log_q_z = (-0.5 * ((z - mu) / std) ** 2 - 0.5 * log_var - 0.5 * torch.log(torch.tensor(2 * 3.14159265))).sum(-1) ``` So for each element: - z = mu + std * rand - For log_q_z: sum over D of [-0.5 * ((z - mu) / std)^2 - 0.5 * log_var - 0.5 * log(2*pi)] Let me verify my kernel computes this correctly... In simple_reparam_kernel: ```cuda float z_val = mu_val + std_val * rand_normal; z[idx] = z_val; float diff = (z_val - mu_val) / std_val; float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI; thread_sum += log_prob_d; ``` This looks correct! Hmm, let me try a different approach. Maybe the issue is that the test compares my implementation's output with the reference's output using different random seeds. In that case, I should just ensure my implementation produces correct statistics, not exact values. But wait, the "correctness" test seems to expect exact matches. Let me look at the issue differently. Actually, I think the real problem is that the tests use a fixed global seed, and PyTorch's random functions use that seed, but my cuRAND states are initialized with a different seed (42). So the random values are completely different. If the test wants exact numerical equivalence, I need to match the PyTorch RNG state somehow. But that's not really feasible since PyTorch uses a different RNG. Let me try a different approach: use PyTorch to generate the random numbers and pass them to the kernel. This way, the kernel only does the mathematical computations, not the random sampling. Wait, but the problem says "Replace the forward computation" - which includes the random sampling. If I use PyTorch for random sampling, I'm not really replacing that part. Actually, let me look at the problem statement again: "Produce numerically equivalent outputs at fp32 precision." For stochastic operations, "numerically equivalent" typically means producing outputs from the same distribution, not the exact same values. But the tolerance atol=rtol=1e-4 is very tight. Actually, I think the way this test works is: 1. The reference and my implementation both run 2. Since both sample from the same distribution with different RNG, outputs differ 3. The test checks if the outputs are "close enough" considering the stochasticity But the tolerance is too tight for that... Let me try another interpretation: maybe the test sets the same seed for both, and I need to use PyTorch's RNG or coordinate with it. Actually, I think the simplest approach is to use PyTorch's random number generation, and only accelerate the mathematical computations in CUDA. Let me try that. But wait, the whole point is to replace the forward computation. If I use PyTorch for random sampling, I'm not fully replacing the computation. Let me look at the reference again more carefully to see if there's something deterministic I can match... Actually, I realize that for the mixture case, the key determinism should come from the log_q_z computation, which is entirely deterministic given z. But z is random, so log_q_z will vary with z. Let me try yet another approach: just test if my implementation produces reasonable outputs by comparing statistics (mean, std) rather than exact values. But the test harness doesn't seem to support that... OK, I'll try a different strategy. Let me assume the test sets a global seed and expects exact matches. I'll try to coordinate with PyTorch's RNG by using torch's random functions but still accelerating the computation. Actually, thinking about it more, I believe the test might be checking the mathematical correctness of the computation, not the randomness. Let me see if there's a way to make the computation deterministic. One approach: set the seed inside the forward pass to a known value, then use PyTorch functions for random sampling, but compute the rest in CUDA. Let me rewrite the kernel to accept pre-generated random numbers:
assistantThe correctness test is failing because the random sampling produces different values. The tolerance is very tight (1e-4), which suggests the test expects matching outputs when given the same random seed. Let me restructure the approach to use PyTorch's RNG for random number generation while accelerating the mathematical computations in CUDA:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n#include <cmath>\n\n// Constants for log calculations\nconstexpr float HALF_LOG_2PI = 0.9189385332046727f; // 0.5 * log(2*pi)\n\n// Kernel for simple reparameterization - computes z and log_q_z\n// Uses pre-generated random normal values\n__global__ void simple_reparam_kernel(\n const float* __restrict__ mu, // (B, D)\n const float* __restrict__ log_var, // (B, D)\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction\n extern __shared__ float smem[];\n \n // Each thread handles multiple dimensions\n float thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[idx];\n \n float z_val = mu_val + std_val * rand_val;\n z[idx] = z_val;\n \n // Compute log prob contribution: -0.5 * ((z - mu) / std)^2 - 0.5 * log_var - 0.5 * log(2*pi)\n // Since z = mu + std * rand, (z - mu) / std = rand\n // So: -0.5 * rand^2 - 0.5 * log_var - 0.5 * log(2*pi)\n float log_prob_d = -0.5f * rand_val * rand_val - 0.5f * log_var_val - HALF_LOG_2PI;\n thread_sum += log_prob_d;\n }\n \n smem[threadIdx.x] = thread_sum;\n __syncthreads();\n \n // Block reduce\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] += smem[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n log_q_z[b] = smem[0];\n }\n}\n\n// Kernel for mixture reparameterization\n__global__ void mixture_reparam_kernel(\n const float* __restrict__ mu, // (B, K, D)\n const float* __restrict__ log_var, // (B, K, D)\n const float* __restrict__ weights, // (K,) - log weights\n const float* __restrict__ log_weights, // (K,) - log weights\n const int* __restrict__ components, // (B,) - sampled components\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int K, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n int comp = components[b];\n \n // Shared memory: K log sums + blockDim.x partial sums\n extern __shared__ float smem[];\n float* comp_log_sums = smem; // K elements\n float* thread_sums = &smem[K]; // blockDim.x elements\n \n // Phase 1: Compute z values\n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * K * D + comp * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[b * D + d];\n \n z[b * D + d] = mu_val + std_val * rand_val;\n }\n __syncthreads();\n \n // Phase 2: Compute log q(z) under mixture\n // For each component k, sum over d: -0.5*((z[d] - mu[k,d])/std[k,d])^2 - 0.5*log_var[k,d] - 0.5*log(2*pi)\n // Then add log(weight[k])\n // Finally logsumexp over k\n \n // Initialize per-component sums\n for (int k = threadIdx.x; k < K; k += blockDim.x) {\n comp_log_sums[k] = 0.0f;\n }\n __syncthreads();\n \n // Each thread computes partial sums for its dimensions across all components\n float my_sums[16]; // Max K\n for (int k = 0; k < K; k++) {\n my_sums[k] = 0.0f;\n }\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n float z_val = z[b * D + d];\n for (int k = 0; k < K; k++) {\n int idx = b * K * D + k * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n my_sums[k] += log_prob_d;\n }\n }\n \n // Reduce per-component sums\n for (int k = 0; k < K; k++) {\n thread_sums[threadIdx.x] = my_sums[k];\n __syncthreads();\n \n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n thread_sums[threadIdx.x] += thread_sums[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n comp_log_sums[k] = thread_sums[0] + log_weights[k];\n }\n __syncthreads();\n }\n \n // Compute logsumexp\n if (threadIdx.x == 0) {\n float max_val = -FLT_MAX;\n for (int k = 0; k < K; k++) {\n max_val = fmaxf(max_val, comp_log_sums[k]);\n }\n \n float sum_exp = 0.0f;\n for (int k = 0; k < K; k++) {\n sum_exp += expf(comp_log_sums[k] - max_val);\n }\n log_q_z[b] = max_val + logf(sum_exp);\n }\n}\n\n// Host functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n) {\n int threads = 256;\n size_t shared_mem = threads * sizeof(float);\n simple_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, rand_normal, z, log_q_z, B, D\n );\n}\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* weights,\n const float* log_weights, const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n) {\n int threads = 256;\n size_t shared_mem = (K + threads) * sizeof(float);\n mixture_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, weights, log_weights, components, rand_normal,\n z, log_q_z, B, K, D\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\n#include <torch/extension.h>\n\n// Declare functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n);\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* weights,\n const float* log_weights, const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n);\n\n// Wrapper functions for PyTorch\nvoid simple_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int D\n) {\n simple_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, D\n );\n}\n\nvoid mixture_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor weights,\n torch::Tensor log_weights, torch::Tensor components, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int K, int D\n) {\n mixture_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), weights.data_ptr<float>(),\n log_weights.data_ptr<float>(), components.data_ptr<int>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, K, D\n );\n}\n\"\"\"\n\nmodule = load_inline(\n name='reparam_cuda',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['simple_reparam', 'mixture_reparam'],\n extra_cuda_cflags=['-O3', '--use_fast_math'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Reparameterization trick for differentiable sampling from a diagonal\n Gaussian. Uses custom CUDA kernels for computational acceleration.\n \"\"\"\n\n def __init__(self, latent_dim, num_components=1):\n super().__init__()\n self.latent_dim = latent_dim\n self.num_components = num_components\n if num_components > 1:\n self.logits = nn.Parameter(torch.zeros(num_components))\n\n def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:\n \"\"\"\n Args:\n mu: (B, K, D) or (B, D) \u2013 means\n log_var: (B, K, D) or (B, D) \u2013 log-variances\n Returns:\n (z, log_q_z):\n z: (B, D) \u2013 sampled latents\n log_q_z: (B,) \u2013 log-density of sample under q\n \"\"\"\n B = mu.shape[0]\n K = self.num_components\n D = self.latent_dim\n \n # Ensure inputs are contiguous\n mu = mu.contiguous()\n log_var = log_var.contiguous()\n \n # Compute std\n std = torch.exp(0.5 * log_var)\n\n if K > 1 and mu.dim() == 3:\n # Mixture of Gaussians case\n weights = torch.softmax(self.logits, dim=0) # (K,)\n log_weights = torch.log(weights)\n \n # Sample component using PyTorch's multinomial\n comp = torch.multinomial(weights.expand(B, -1), 1).squeeze(-1) # (B,)\n comp_int = comp.to(torch.int32)\n \n # Generate random normal values\n batch_idx = torch.arange(B, device=mu.device)\n mu_k = mu[batch_idx, comp] # (B, D)\n std_k = std[batch_idx, comp] # (B, D)\n rand_normal = torch.randn_like(mu_k) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.mixture_reparam(\n mu.float(), log_var.float(), weights.float(),\n log_weights.float(), comp_int, rand_normal.float(),\n z.float(), log_q_z.float(), B, K, D\n )\n else:\n # Simple case\n if mu.dim() == 3:\n mu = mu[:, 0]\n std = std[:, 0]\n log_var = log_var[:, 0]\n \n # Generate random normal values using PyTorch\n rand_normal = torch.randn_like(mu) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.simple_reparam(\n mu.float(), log_var.float(), rand_normal.float(),\n z.float(), log_q_z.float(), B, D\n )\n \n return z, log_q_z" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 4 · 1 tool call(s) · 54.9s turn · 24.4s LLM · tokens in=13,152 · out=2,982 · total=16,134 · 12,301 chars (click to expand)
turn 454.9s turn · 24.4s LLM · 30.5s tools · tokens in=13,152 · out=2,982 · total=16,134
reasoning
Good, compilation passed. Let me run correctness test.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n#include <cmath>\n\n// Constants for log calculations\nconstexpr float HALF_LOG_2PI = 0.9189385332046727f; // 0.5 * log(2*pi)\n\n// Kernel for simple reparameterization - computes z and log_q_z\n// Uses pre-generated random normal values\n__global__ void simple_reparam_kernel(\n const float* __restrict__ mu, // (B, D)\n const float* __restrict__ log_var, // (B, D)\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction\n extern __shared__ float smem[];\n \n // Each thread handles multiple dimensions\n float thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[idx];\n \n float z_val = mu_val + std_val * rand_val;\n z[idx] = z_val;\n \n // Compute log prob contribution: -0.5 * ((z - mu) / std)^2 - 0.5 * log_var - 0.5 * log(2*pi)\n // Since z = mu + std * rand, (z - mu) / std = rand\n // So: -0.5 * rand^2 - 0.5 * log_var - 0.5 * log(2*pi)\n float log_prob_d = -0.5f * rand_val * rand_val - 0.5f * log_var_val - HALF_LOG_2PI;\n thread_sum += log_prob_d;\n }\n \n smem[threadIdx.x] = thread_sum;\n __syncthreads();\n \n // Block reduce\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] += smem[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n log_q_z[b] = smem[0];\n }\n}\n\n// Kernel for mixture reparameterization\n__global__ void mixture_reparam_kernel(\n const float* __restrict__ mu, // (B, K, D)\n const float* __restrict__ log_var, // (B, K, D)\n const float* __restrict__ weights, // (K,) - log weights\n const float* __restrict__ log_weights, // (K,) - log weights\n const int* __restrict__ components, // (B,) - sampled components\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int K, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n int comp = components[b];\n \n // Shared memory: K log sums + blockDim.x partial sums\n extern __shared__ float smem[];\n float* comp_log_sums = smem; // K elements\n float* thread_sums = &smem[K]; // blockDim.x elements\n \n // Phase 1: Compute z values\n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * K * D + comp * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[b * D + d];\n \n z[b * D + d] = mu_val + std_val * rand_val;\n }\n __syncthreads();\n \n // Phase 2: Compute log q(z) under mixture\n // For each component k, sum over d: -0.5*((z[d] - mu[k,d])/std[k,d])^2 - 0.5*log_var[k,d] - 0.5*log(2*pi)\n // Then add log(weight[k])\n // Finally logsumexp over k\n \n // Initialize per-component sums\n for (int k = threadIdx.x; k < K; k += blockDim.x) {\n comp_log_sums[k] = 0.0f;\n }\n __syncthreads();\n \n // Each thread computes partial sums for its dimensions across all components\n float my_sums[16]; // Max K\n for (int k = 0; k < K; k++) {\n my_sums[k] = 0.0f;\n }\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n float z_val = z[b * D + d];\n for (int k = 0; k < K; k++) {\n int idx = b * K * D + k * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n my_sums[k] += log_prob_d;\n }\n }\n \n // Reduce per-component sums\n for (int k = 0; k < K; k++) {\n thread_sums[threadIdx.x] = my_sums[k];\n __syncthreads();\n \n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n thread_sums[threadIdx.x] += thread_sums[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n comp_log_sums[k] = thread_sums[0] + log_weights[k];\n }\n __syncthreads();\n }\n \n // Compute logsumexp\n if (threadIdx.x == 0) {\n float max_val = -FLT_MAX;\n for (int k = 0; k < K; k++) {\n max_val = fmaxf(max_val, comp_log_sums[k]);\n }\n \n float sum_exp = 0.0f;\n for (int k = 0; k < K; k++) {\n sum_exp += expf(comp_log_sums[k] - max_val);\n }\n log_q_z[b] = max_val + logf(sum_exp);\n }\n}\n\n// Host functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n) {\n int threads = 256;\n size_t shared_mem = threads * sizeof(float);\n simple_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, rand_normal, z, log_q_z, B, D\n );\n}\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* weights,\n const float* log_weights, const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n) {\n int threads = 256;\n size_t shared_mem = (K + threads) * sizeof(float);\n mixture_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, weights, log_weights, components, rand_normal,\n z, log_q_z, B, K, D\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\n#include <torch/extension.h>\n\n// Declare functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n);\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* weights,\n const float* log_weights, const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n);\n\n// Wrapper functions for PyTorch\nvoid simple_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int D\n) {\n simple_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, D\n );\n}\n\nvoid mixture_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor weights,\n torch::Tensor log_weights, torch::Tensor components, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int K, int D\n) {\n mixture_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), weights.data_ptr<float>(),\n log_weights.data_ptr<float>(), components.data_ptr<int>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, K, D\n );\n}\n\"\"\"\n\nmodule = load_inline(\n name='reparam_cuda',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['simple_reparam', 'mixture_reparam'],\n extra_cuda_cflags=['-O3', '--use_fast_math'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Reparameterization trick for differentiable sampling from a diagonal\n Gaussian. Uses custom CUDA kernels for computational acceleration.\n \"\"\"\n\n def __init__(self, latent_dim, num_components=1):\n super().__init__()\n self.latent_dim = latent_dim\n self.num_components = num_components\n if num_components > 1:\n self.logits = nn.Parameter(torch.zeros(num_components))\n\n def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:\n \"\"\"\n Args:\n mu: (B, K, D) or (B, D) \u2013 means\n log_var: (B, K, D) or (B, D) \u2013 log-variances\n Returns:\n (z, log_q_z):\n z: (B, D) \u2013 sampled latents\n log_q_z: (B,) \u2013 log-density of sample under q\n \"\"\"\n B = mu.shape[0]\n K = self.num_components\n D = self.latent_dim\n \n # Ensure inputs are contiguous\n mu = mu.contiguous()\n log_var = log_var.contiguous()\n \n # Compute std\n std = torch.exp(0.5 * log_var)\n\n if K > 1 and mu.dim() == 3:\n # Mixture of Gaussians case\n weights = torch.softmax(self.logits, dim=0) # (K,)\n log_weights = torch.log(weights)\n \n # Sample component using PyTorch's multinomial\n comp = torch.multinomial(weights.expand(B, -1), 1).squeeze(-1) # (B,)\n comp_int = comp.to(torch.int32)\n \n # Generate random normal values\n batch_idx = torch.arange(B, device=mu.device)\n mu_k = mu[batch_idx, comp] # (B, D)\n std_k = std[batch_idx, comp] # (B, D)\n rand_normal = torch.randn_like(mu_k) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.mixture_reparam(\n mu.float(), log_var.float(), weights.float(),\n log_weights.float(), comp_int, rand_normal.float(),\n z.float(), log_q_z.float(), B, K, D\n )\n else:\n # Simple case\n if mu.dim() == 3:\n mu = mu[:, 0]\n std = std[:, 0]\n log_var = log_var[:, 0]\n \n # Generate random normal values using PyTorch\n rand_normal = torch.randn_like(mu) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.simple_reparam(\n mu.float(), log_var.float(), rand_normal.float(),\n z.float(), log_q_z.float(), B, D\n )\n \n return z, log_q_z" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=1.53e-05 mean_abs_err=5.73e-08 max_rel_err=7.04e-04
turn 5 · 1 tool call(s) · 27.7s turn · 27.7s LLM · tokens in=16,180 · out=3,150 · total=19,330 · 13,103 chars (click to expand)
turn 527.7s turn · 27.7s LLM · 0.0s tools · tokens in=16,180 · out=3,150 · total=19,330
reasoning
The kernel passes correctness. Now let me do a static check and then submit it. But wait, I should also think about whether there's room for optimization. The current kernel: 1. For simple case: computes z = mu + std * rand_normal in CUDA, and computes log_q_z by summing contributions 2. For mixture case: computes z from selected component, then computes log q(z) under mixture by iterating all components Potential optimizations: 1. The mixture kernel iterates over K components for each dimension - this could be parallelized better 2. Use vectorized loads/stores for better memory throughput 3. Precompute std once outside the kernel Let me first do a static check and see if there are any issues, then consider if I should optimize further.
assistantThe kernel passes correctness! Let me run a static check to ensure there are no reward-hacking patterns:
call → static_check
callstatic_check { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n#include <cmath>\n\n// Constants for log calculations\nconstexpr float HALF_LOG_2PI = 0.9189385332046727f; // 0.5 * log(2*pi)\n\n// Kernel for simple reparameterization - computes z and log_q_z\n// Uses pre-generated random normal values\n__global__ void simple_reparam_kernel(\n const float* __restrict__ mu, // (B, D)\n const float* __restrict__ log_var, // (B, D)\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction\n extern __shared__ float smem[];\n \n // Each thread handles multiple dimensions\n float thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[idx];\n \n float z_val = mu_val + std_val * rand_val;\n z[idx] = z_val;\n \n // Compute log prob contribution: -0.5 * ((z - mu) / std)^2 - 0.5 * log_var - 0.5 * log(2*pi)\n // Since z = mu + std * rand, (z - mu) / std = rand\n // So: -0.5 * rand^2 - 0.5 * log_var - 0.5 * log(2*pi)\n float log_prob_d = -0.5f * rand_val * rand_val - 0.5f * log_var_val - HALF_LOG_2PI;\n thread_sum += log_prob_d;\n }\n \n smem[threadIdx.x] = thread_sum;\n __syncthreads();\n \n // Block reduce\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] += smem[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n log_q_z[b] = smem[0];\n }\n}\n\n// Kernel for mixture reparameterization\n__global__ void mixture_reparam_kernel(\n const float* __restrict__ mu, // (B, K, D)\n const float* __restrict__ log_var, // (B, K, D)\n const float* __restrict__ weights, // (K,) - log weights\n const float* __restrict__ log_weights, // (K,) - log weights\n const int* __restrict__ components, // (B,) - sampled components\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int K, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n int comp = components[b];\n \n // Shared memory: K log sums + blockDim.x partial sums\n extern __shared__ float smem[];\n float* comp_log_sums = smem; // K elements\n float* thread_sums = &smem[K]; // blockDim.x elements\n \n // Phase 1: Compute z values\n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * K * D + comp * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[b * D + d];\n \n z[b * D + d] = mu_val + std_val * rand_val;\n }\n __syncthreads();\n \n // Phase 2: Compute log q(z) under mixture\n // For each component k, sum over d: -0.5*((z[d] - mu[k,d])/std[k,d])^2 - 0.5*log_var[k,d] - 0.5*log(2*pi)\n // Then add log(weight[k])\n // Finally logsumexp over k\n \n // Initialize per-component sums\n for (int k = threadIdx.x; k < K; k += blockDim.x) {\n comp_log_sums[k] = 0.0f;\n }\n __syncthreads();\n \n // Each thread computes partial sums for its dimensions across all components\n float my_sums[16]; // Max K\n for (int k = 0; k < K; k++) {\n my_sums[k] = 0.0f;\n }\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n float z_val = z[b * D + d];\n for (int k = 0; k < K; k++) {\n int idx = b * K * D + k * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n my_sums[k] += log_prob_d;\n }\n }\n \n // Reduce per-component sums\n for (int k = 0; k < K; k++) {\n thread_sums[threadIdx.x] = my_sums[k];\n __syncthreads();\n \n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n thread_sums[threadIdx.x] += thread_sums[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n comp_log_sums[k] = thread_sums[0] + log_weights[k];\n }\n __syncthreads();\n }\n \n // Compute logsumexp\n if (threadIdx.x == 0) {\n float max_val = -FLT_MAX;\n for (int k = 0; k < K; k++) {\n max_val = fmaxf(max_val, comp_log_sums[k]);\n }\n \n float sum_exp = 0.0f;\n for (int k = 0; k < K; k++) {\n sum_exp += expf(comp_log_sums[k] - max_val);\n }\n log_q_z[b] = max_val + logf(sum_exp);\n }\n}\n\n// Host functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n) {\n int threads = 256;\n size_t shared_mem = threads * sizeof(float);\n simple_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, rand_normal, z, log_q_z, B, D\n );\n}\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* weights,\n const float* log_weights, const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n) {\n int threads = 256;\n size_t shared_mem = (K + threads) * sizeof(float);\n mixture_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, weights, log_weights, components, rand_normal,\n z, log_q_z, B, K, D\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\n#include <torch/extension.h>\n\n// Declare functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n);\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* weights,\n const float* log_weights, const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n);\n\n// Wrapper functions for PyTorch\nvoid simple_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int D\n) {\n simple_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, D\n );\n}\n\nvoid mixture_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor weights,\n torch::Tensor log_weights, torch::Tensor components, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int K, int D\n) {\n mixture_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), weights.data_ptr<float>(),\n log_weights.data_ptr<float>(), components.data_ptr<int>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, K, D\n );\n}\n\"\"\"\n\nmodule = load_inline(\n name='reparam_cuda',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['simple_reparam', 'mixture_reparam'],\n extra_cuda_cflags=['-O3', '--use_fast_math'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Reparameterization trick for differentiable sampling from a diagonal\n Gaussian. Uses custom CUDA kernels for computational acceleration.\n \"\"\"\n\n def __init__(self, latent_dim, num_components=1):\n super().__init__()\n self.latent_dim = latent_dim\n self.num_components = num_components\n if num_components > 1:\n self.logits = nn.Parameter(torch.zeros(num_components))\n\n def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:\n \"\"\"\n Args:\n mu: (B, K, D) or (B, D) \u2013 means\n log_var: (B, K, D) or (B, D) \u2013 log-variances\n Returns:\n (z, log_q_z):\n z: (B, D) \u2013 sampled latents\n log_q_z: (B,) \u2013 log-density of sample under q\n \"\"\"\n B = mu.shape[0]\n K = self.num_components\n D = self.latent_dim\n \n # Ensure inputs are contiguous\n mu = mu.contiguous()\n log_var = log_var.contiguous()\n \n # Compute std\n std = torch.exp(0.5 * log_var)\n\n if K > 1 and mu.dim() == 3:\n # Mixture of Gaussians case\n weights = torch.softmax(self.logits, dim=0) # (K,)\n log_weights = torch.log(weights)\n \n # Sample component using PyTorch's multinomial\n comp = torch.multinomial(weights.expand(B, -1), 1).squeeze(-1) # (B,)\n comp_int = comp.to(torch.int32)\n \n # Generate random normal values\n batch_idx = torch.arange(B, device=mu.device)\n mu_k = mu[batch_idx, comp] # (B, D)\n std_k = std[batch_idx, comp] # (B, D)\n rand_normal = torch.randn_like(mu_k) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.mixture_reparam(\n mu.float(), log_var.float(), weights.float(),\n log_weights.float(), comp_int, rand_normal.float(),\n z.float(), log_q_z.float(), B, K, D\n )\n else:\n # Simple case\n if mu.dim() == 3:\n mu = mu[:, 0]\n std = std[:, 0]\n log_var = log_var[:, 0]\n \n # Generate random normal values using PyTorch\n rand_normal = torch.randn_like(mu) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.simple_reparam(\n mu.float(), log_var.float(), rand_normal.float(),\n z.float(), log_q_z.float(), B, D\n )\n \n return z, log_q_z" }
result ← static_check (ok)
okstatic_check static_check PASSED (with warnings): WARNING: Uses torch computation op: torch.softmax
turn 6 · 1 tool call(s) · 292.5s turn · 25.5s LLM · tokens in=19,192 · out=3,024 · total=22,216 · 12,867 chars (click to expand)
turn 6292.5s turn · 25.5s LLM · 267.0s tools · tokens in=19,192 · out=3,024 · total=22,216
reasoning
Good, static check passed. The warning about torch.softmax is fine - we need that to match the reference behavior exactly. Now let me think about optimizations. The current kernel has some issues: 1. For the mixture case, we're doing `mu[batch_idx, comp]` and `std[batch_idx, comp]` in PyTorch which creates intermediate tensors 2. The `batch_idx` tensor creation is overhead 3. For the log_q_z computation in the mixture case, we're iterating K*D times in a nested loop Let me optimize the kernel more to reduce PyTorch overhead. But first, let me check the current performance to see if the kernel is already fast enough.
assistantNow let me try to optimize further. The current approach still has some PyTorch overhead. Let me create a more optimized version that reduces the intermediate tensor operations:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n#include <cmath>\n\n// Constants for log calculations\nconstexpr float HALF_LOG_2PI = 0.9189385332046727f; // 0.5 * log(2*pi)\n\n// Kernel for simple reparameterization - computes z and log_q_z\n// Uses pre-generated random normal values\n__global__ void simple_reparam_kernel(\n const float* __restrict__ mu, // (B, D)\n const float* __restrict__ log_var, // (B, D)\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction\n extern __shared__ float smem[];\n \n // Each thread handles multiple dimensions\n float thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[idx];\n \n float z_val = mu_val + std_val * rand_val;\n z[idx] = z_val;\n \n // Compute log prob contribution\n float log_prob_d = -0.5f * rand_val * rand_val - 0.5f * log_var_val - HALF_LOG_2PI;\n thread_sum += log_prob_d;\n }\n \n smem[threadIdx.x] = thread_sum;\n __syncthreads();\n \n // Block reduce\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] += smem[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n log_q_z[b] = smem[0];\n }\n}\n\n// Optimized kernel for mixture reparameterization\n// Uses warp-level operations and better memory access patterns\n__global__ void mixture_reparam_kernel(\n const float* __restrict__ mu, // (B, K, D)\n const float* __restrict__ log_var, // (B, K, D)\n const float* __restrict__ log_weights, // (K,) - log weights\n const int* __restrict__ components, // (B,) - sampled components\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int K, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n int comp = components[b];\n \n // Shared memory: K log sums + blockDim.x partial sums\n extern __shared__ char smem_raw[];\n float* smem = reinterpret_cast<float*>(smem_raw);\n float* comp_log_sums = smem; // K elements (aligned)\n float* thread_sums = &smem[(K + 15) & ~15]; // aligned to 16 floats for bank conflicts\n \n // Phase 1: Compute z values and compute log_probs for the sampled component\n float thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int src_idx = b * K * D + comp * D + d;\n int dst_idx = b * D + d;\n \n float mu_val = mu[src_idx];\n float log_var_val = log_var[src_idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[dst_idx];\n \n float z_val = mu_val + std_val * rand_val;\n z[dst_idx] = z_val;\n }\n __syncthreads();\n \n // Phase 2: Compute log q(z) under mixture\n // Initialize per-component sums\n for (int k = threadIdx.x; k < K; k += blockDim.x) {\n comp_log_sums[k] = 0.0f;\n }\n __syncthreads();\n \n // Each thread computes partial sums for its dimensions across all components\n // Use register array to accumulate\n float my_sums[16]; // Max K = 16 (should be enough)\n for (int k = 0; k < K; k++) {\n my_sums[k] = 0.0f;\n }\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n float z_val = z[b * D + d];\n \n #pragma unroll 4\n for (int k = 0; k < K; k++) {\n int idx = b * K * D + k * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n my_sums[k] += log_prob_d;\n }\n }\n \n // Reduce per-component sums using shared memory\n for (int k = 0; k < K; k++) {\n thread_sums[threadIdx.x] = my_sums[k];\n __syncthreads();\n \n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n thread_sums[threadIdx.x] += thread_sums[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n comp_log_sums[k] = thread_sums[0] + log_weights[k];\n }\n __syncthreads();\n }\n \n // Compute logsumexp\n if (threadIdx.x == 0) {\n float max_val = -FLT_MAX;\n for (int k = 0; k < K; k++) {\n max_val = fmaxf(max_val, comp_log_sums[k]);\n }\n \n float sum_exp = 0.0f;\n for (int k = 0; k < K; k++) {\n sum_exp += expf(comp_log_sums[k] - max_val);\n }\n log_q_z[b] = max_val + logf(sum_exp);\n }\n}\n\n// Host functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n) {\n int threads = 256;\n size_t shared_mem = threads * sizeof(float);\n simple_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, rand_normal, z, log_q_z, B, D\n );\n}\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* log_weights,\n const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n) {\n int threads = 256;\n // Align shared memory to avoid bank conflicts\n size_t shared_mem = ((K + 15) & ~15) * sizeof(float) + threads * sizeof(float);\n mixture_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, log_weights, components, rand_normal,\n z, log_q_z, B, K, D\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\n#include <torch/extension.h>\n\n// Declare functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n);\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* log_weights,\n const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n);\n\n// Wrapper functions for PyTorch\nvoid simple_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int D\n) {\n simple_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, D\n );\n}\n\nvoid mixture_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor log_weights,\n torch::Tensor components, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int K, int D\n) {\n mixture_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), log_weights.data_ptr<float>(),\n components.data_ptr<int>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, K, D\n );\n}\n\"\"\"\n\nmodule = load_inline(\n name='reparam_cuda',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['simple_reparam', 'mixture_reparam'],\n extra_cuda_cflags=['-O3', '--use_fast_math'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Reparameterization trick for differentiable sampling from a diagonal\n Gaussian. Uses custom CUDA kernels for computational acceleration.\n \"\"\"\n\n def __init__(self, latent_dim, num_components=1):\n super().__init__()\n self.latent_dim = latent_dim\n self.num_components = num_components\n if num_components > 1:\n self.logits = nn.Parameter(torch.zeros(num_components))\n\n def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:\n \"\"\"\n Args:\n mu: (B, K, D) or (B, D) \u2013 means\n log_var: (B, K, D) or (B, D) \u2013 log-variances\n Returns:\n (z, log_q_z):\n z: (B, D) \u2013 sampled latents\n log_q_z: (B,) \u2013 log-density of sample under q\n \"\"\"\n B = mu.shape[0]\n K = self.num_components\n D = self.latent_dim\n \n # Ensure inputs are contiguous\n mu = mu.contiguous()\n log_var = log_var.contiguous()\n\n if K > 1 and mu.dim() == 3:\n # Mixture of Gaussians case\n weights = torch.softmax(self.logits, dim=0) # (K,)\n log_weights = torch.log(weights)\n \n # Sample component using PyTorch's multinomial\n comp = torch.multinomial(weights.expand(B, -1), 1).squeeze(-1) # (B,)\n comp_int = comp.to(torch.int32)\n \n # Generate random normal values directly in output shape\n rand_normal = torch.randn(B, D, dtype=mu.dtype, device=mu.device)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel - kernel handles all indexing\n module.mixture_reparam(\n mu.float(), log_var.float(), log_weights.float(),\n comp_int, rand_normal.float(),\n z.float(), log_q_z.float(), B, K, D\n )\n else:\n # Simple case\n if mu.dim() == 3:\n mu = mu[:, 0].contiguous()\n log_var = log_var[:, 0].contiguous()\n \n # Generate random normal values using PyTorch\n rand_normal = torch.randn_like(mu) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.simple_reparam(\n mu.float(), log_var.float(), rand_normal.float(),\n z.float(), log_q_z.float(), B, D\n )\n \n return z, log_q_z" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 7 · 1 tool call(s) · 172.0s turn · 22.6s LLM · tokens in=22,085 · out=2,857 · total=24,942 · 12,128 chars (click to expand)
turn 7172.0s turn · 22.6s LLM · 149.4s tools · tokens in=22,085 · out=2,857 · total=24,942
reasoning
Let me run correctness on this updated kernel.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n#include <cmath>\n\n// Constants for log calculations\nconstexpr float HALF_LOG_2PI = 0.9189385332046727f; // 0.5 * log(2*pi)\n\n// Kernel for simple reparameterization - computes z and log_q_z\n// Uses pre-generated random normal values\n__global__ void simple_reparam_kernel(\n const float* __restrict__ mu, // (B, D)\n const float* __restrict__ log_var, // (B, D)\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction\n extern __shared__ float smem[];\n \n // Each thread handles multiple dimensions\n float thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[idx];\n \n float z_val = mu_val + std_val * rand_val;\n z[idx] = z_val;\n \n // Compute log prob contribution\n float log_prob_d = -0.5f * rand_val * rand_val - 0.5f * log_var_val - HALF_LOG_2PI;\n thread_sum += log_prob_d;\n }\n \n smem[threadIdx.x] = thread_sum;\n __syncthreads();\n \n // Block reduce\n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n smem[threadIdx.x] += smem[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n log_q_z[b] = smem[0];\n }\n}\n\n// Optimized kernel for mixture reparameterization\n// Uses warp-level operations and better memory access patterns\n__global__ void mixture_reparam_kernel(\n const float* __restrict__ mu, // (B, K, D)\n const float* __restrict__ log_var, // (B, K, D)\n const float* __restrict__ log_weights, // (K,) - log weights\n const int* __restrict__ components, // (B,) - sampled components\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int K, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n int comp = components[b];\n \n // Shared memory: K log sums + blockDim.x partial sums\n extern __shared__ char smem_raw[];\n float* smem = reinterpret_cast<float*>(smem_raw);\n float* comp_log_sums = smem; // K elements (aligned)\n float* thread_sums = &smem[(K + 15) & ~15]; // aligned to 16 floats for bank conflicts\n \n // Phase 1: Compute z values and compute log_probs for the sampled component\n float thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int src_idx = b * K * D + comp * D + d;\n int dst_idx = b * D + d;\n \n float mu_val = mu[src_idx];\n float log_var_val = log_var[src_idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[dst_idx];\n \n float z_val = mu_val + std_val * rand_val;\n z[dst_idx] = z_val;\n }\n __syncthreads();\n \n // Phase 2: Compute log q(z) under mixture\n // Initialize per-component sums\n for (int k = threadIdx.x; k < K; k += blockDim.x) {\n comp_log_sums[k] = 0.0f;\n }\n __syncthreads();\n \n // Each thread computes partial sums for its dimensions across all components\n // Use register array to accumulate\n float my_sums[16]; // Max K = 16 (should be enough)\n for (int k = 0; k < K; k++) {\n my_sums[k] = 0.0f;\n }\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n float z_val = z[b * D + d];\n \n #pragma unroll 4\n for (int k = 0; k < K; k++) {\n int idx = b * K * D + k * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n my_sums[k] += log_prob_d;\n }\n }\n \n // Reduce per-component sums using shared memory\n for (int k = 0; k < K; k++) {\n thread_sums[threadIdx.x] = my_sums[k];\n __syncthreads();\n \n for (int s = blockDim.x / 2; s > 0; s >>= 1) {\n if (threadIdx.x < s) {\n thread_sums[threadIdx.x] += thread_sums[threadIdx.x + s];\n }\n __syncthreads();\n }\n \n if (threadIdx.x == 0) {\n comp_log_sums[k] = thread_sums[0] + log_weights[k];\n }\n __syncthreads();\n }\n \n // Compute logsumexp\n if (threadIdx.x == 0) {\n float max_val = -FLT_MAX;\n for (int k = 0; k < K; k++) {\n max_val = fmaxf(max_val, comp_log_sums[k]);\n }\n \n float sum_exp = 0.0f;\n for (int k = 0; k < K; k++) {\n sum_exp += expf(comp_log_sums[k] - max_val);\n }\n log_q_z[b] = max_val + logf(sum_exp);\n }\n}\n\n// Host functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n) {\n int threads = 256;\n size_t shared_mem = threads * sizeof(float);\n simple_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, rand_normal, z, log_q_z, B, D\n );\n}\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* log_weights,\n const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n) {\n int threads = 256;\n // Align shared memory to avoid bank conflicts\n size_t shared_mem = ((K + 15) & ~15) * sizeof(float) + threads * sizeof(float);\n mixture_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, log_weights, components, rand_normal,\n z, log_q_z, B, K, D\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\n#include <torch/extension.h>\n\n// Declare functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n);\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* log_weights,\n const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n);\n\n// Wrapper functions for PyTorch\nvoid simple_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int D\n) {\n simple_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, D\n );\n}\n\nvoid mixture_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor log_weights,\n torch::Tensor components, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int K, int D\n) {\n mixture_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), log_weights.data_ptr<float>(),\n components.data_ptr<int>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, K, D\n );\n}\n\"\"\"\n\nmodule = load_inline(\n name='reparam_cuda',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['simple_reparam', 'mixture_reparam'],\n extra_cuda_cflags=['-O3', '--use_fast_math'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Reparameterization trick for differentiable sampling from a diagonal\n Gaussian. Uses custom CUDA kernels for computational acceleration.\n \"\"\"\n\n def __init__(self, latent_dim, num_components=1):\n super().__init__()\n self.latent_dim = latent_dim\n self.num_components = num_components\n if num_components > 1:\n self.logits = nn.Parameter(torch.zeros(num_components))\n\n def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:\n \"\"\"\n Args:\n mu: (B, K, D) or (B, D) \u2013 means\n log_var: (B, K, D) or (B, D) \u2013 log-variances\n Returns:\n (z, log_q_z):\n z: (B, D) \u2013 sampled latents\n log_q_z: (B,) \u2013 log-density of sample under q\n \"\"\"\n B = mu.shape[0]\n K = self.num_components\n D = self.latent_dim\n \n # Ensure inputs are contiguous\n mu = mu.contiguous()\n log_var = log_var.contiguous()\n\n if K > 1 and mu.dim() == 3:\n # Mixture of Gaussians case\n weights = torch.softmax(self.logits, dim=0) # (K,)\n log_weights = torch.log(weights)\n \n # Sample component using PyTorch's multinomial\n comp = torch.multinomial(weights.expand(B, -1), 1).squeeze(-1) # (B,)\n comp_int = comp.to(torch.int32)\n \n # Generate random normal values directly in output shape\n rand_normal = torch.randn(B, D, dtype=mu.dtype, device=mu.device)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel - kernel handles all indexing\n module.mixture_reparam(\n mu.float(), log_var.float(), log_weights.float(),\n comp_int, rand_normal.float(),\n z.float(), log_q_z.float(), B, K, D\n )\n else:\n # Simple case\n if mu.dim() == 3:\n mu = mu[:, 0].contiguous()\n log_var = log_var[:, 0].contiguous()\n \n # Generate random normal values using PyTorch\n rand_normal = torch.randn_like(mu) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.simple_reparam(\n mu.float(), log_var.float(), rand_normal.float(),\n z.float(), log_q_z.float(), B, D\n )\n \n return z, log_q_z" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=1.53e-05 mean_abs_err=5.73e-08 max_rel_err=7.04e-04
turn 8 · 1 tool call(s) · 231.9s turn · 27.3s LLM · tokens in=24,990 · out=2,943 · total=27,933 · 12,429 chars (click to expand)
turn 8231.9s turn · 27.3s LLM · 204.6s tools · tokens in=24,990 · out=2,943 · total=27,933
reasoning
Good, the optimized version still passes correctness. Let me try to further optimize by using more aggressive kernel optimizations like: 1. Using vectorized loads 2. Using warp-level primitives for reductions 3. Reducing synchronization points Let me also try increasing threads per block and optimizing the reduction logic.
assistantLet me try a more aggressive optimization with better memory access patterns and warp-level reductions:
call → compile_kernel
callcompile_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n#include <cmath>\n\n// Constants for log calculations\nconstexpr float HALF_LOG_2PI = 0.9189385332046727f; // 0.5 * log(2*pi)\n\n// Warp-level reduction using shuffles\n__inline__ __device__ 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\n__inline__ __device__ float block_reduce_sum(float val, float* smem) {\n int lane = threadIdx.x % 32;\n int wid = threadIdx.x / 32;\n \n // Warp reduce\n val = warp_reduce_sum(val);\n \n // Write warp result to shared memory\n if (lane == 0) {\n smem[wid] = val;\n }\n __syncthreads();\n \n // First warp does final reduction\n if (wid == 0) {\n val = (threadIdx.x < (blockDim.x + 31) / 32) ? smem[threadIdx.x] : 0.0f;\n val = warp_reduce_sum(val);\n }\n __syncthreads();\n \n return val;\n}\n\n// Kernel for simple reparameterization - computes z and log_q_z\n__global__ void simple_reparam_kernel(\n const float* __restrict__ mu, // (B, D)\n const float* __restrict__ log_var, // (B, D)\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction (one per warp)\n __shared__ float smem[8]; // Max 8 warps per block\n \n // Each thread handles multiple dimensions\n float thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[idx];\n \n float z_val = mu_val + std_val * rand_val;\n z[idx] = z_val;\n \n // Compute log prob contribution\n float log_prob_d = -0.5f * rand_val * rand_val - 0.5f * log_var_val - HALF_LOG_2PI;\n thread_sum += log_prob_d;\n }\n \n // Block reduce using shuffles\n float sum = block_reduce_sum(thread_sum, smem);\n \n if (threadIdx.x == 0) {\n log_q_z[b] = sum;\n }\n}\n\n// Optimized kernel for mixture reparameterization\n__global__ void mixture_reparam_kernel(\n const float* __restrict__ mu, // (B, K, D)\n const float* __restrict__ log_var, // (B, K, D)\n const float* __restrict__ log_weights, // (K,) - log weights\n const int* __restrict__ components, // (B,) - sampled components\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int K, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n int comp = components[b];\n \n // Shared memory: K log sums + warp partial sums\n extern __shared__ float smem[];\n float* comp_log_sums = smem; // K elements\n float* warp_sums = &smem[K]; // up to 8 warps\n \n // Phase 1: Compute z values\n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int src_idx = b * K * D + comp * D + d;\n int dst_idx = b * D + d;\n \n float mu_val = mu[src_idx];\n float log_var_val = log_var[src_idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[dst_idx];\n \n z[dst_idx] = mu_val + std_val * rand_val;\n }\n __syncthreads();\n \n // Phase 2: Compute log q(z) under mixture\n // Initialize per-component sums\n for (int k = threadIdx.x; k < K; k += blockDim.x) {\n comp_log_sums[k] = 0.0f;\n }\n __syncthreads();\n \n // Each thread computes partial sums for its dimensions across all components\n float my_sums[16]; // Max K\n for (int k = 0; k < K; k++) {\n my_sums[k] = 0.0f;\n }\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n float z_val = z[b * D + d];\n \n #pragma unroll\n for (int k = 0; k < K; k++) {\n int idx = b * K * D + k * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n my_sums[k] += log_prob_d;\n }\n }\n \n // Reduce per-component sums using shuffles\n for (int k = 0; k < K; k++) {\n float sum = block_reduce_sum(my_sums[k], warp_sums);\n \n if (threadIdx.x == 0) {\n comp_log_sums[k] = sum + log_weights[k];\n }\n __syncthreads();\n }\n \n // Compute logsumexp\n if (threadIdx.x == 0) {\n float max_val = -FLT_MAX;\n for (int k = 0; k < K; k++) {\n max_val = fmaxf(max_val, comp_log_sums[k]);\n }\n \n float sum_exp = 0.0f;\n for (int k = 0; k < K; k++) {\n sum_exp += expf(comp_log_sums[k] - max_val);\n }\n log_q_z[b] = max_val + logf(sum_exp);\n }\n}\n\n// Host functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n) {\n int threads = 256;\n simple_reparam_kernel<<<B, threads, 8 * sizeof(float)>>>(\n mu, log_var, rand_normal, z, log_q_z, B, D\n );\n}\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* log_weights,\n const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n) {\n int threads = 256;\n // Shared memory: K + 8 (for warp sums)\n size_t shared_mem = (K + 8) * sizeof(float);\n mixture_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, log_weights, components, rand_normal,\n z, log_q_z, B, K, D\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\n#include <torch/extension.h>\n\n// Declare functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n);\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* log_weights,\n const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n);\n\n// Wrapper functions for PyTorch\nvoid simple_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int D\n) {\n simple_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, D\n );\n}\n\nvoid mixture_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor log_weights,\n torch::Tensor components, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int K, int D\n) {\n mixture_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), log_weights.data_ptr<float>(),\n components.data_ptr<int>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, K, D\n );\n}\n\"\"\"\n\nmodule = load_inline(\n name='reparam_cuda',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['simple_reparam', 'mixture_reparam'],\n extra_cuda_cflags=['-O3', '--use_fast_math', '-arch=sm_90'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Reparameterization trick for differentiable sampling from a diagonal\n Gaussian. Uses custom CUDA kernels for computational acceleration.\n \"\"\"\n\n def __init__(self, latent_dim, num_components=1):\n super().__init__()\n self.latent_dim = latent_dim\n self.num_components = num_components\n if num_components > 1:\n self.logits = nn.Parameter(torch.zeros(num_components))\n\n def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:\n \"\"\"\n Args:\n mu: (B, K, D) or (B, D) \u2013 means\n log_var: (B, K, D) or (B, D) \u2013 log-variances\n Returns:\n (z, log_q_z):\n z: (B, D) \u2013 sampled latents\n log_q_z: (B,) \u2013 log-density of sample under q\n \"\"\"\n B = mu.shape[0]\n K = self.num_components\n D = self.latent_dim\n \n # Ensure inputs are contiguous\n mu = mu.contiguous()\n log_var = log_var.contiguous()\n\n if K > 1 and mu.dim() == 3:\n # Mixture of Gaussians case\n weights = torch.softmax(self.logits, dim=0) # (K,)\n log_weights = torch.log(weights)\n \n # Sample component using PyTorch's multinomial\n comp = torch.multinomial(weights.expand(B, -1), 1).squeeze(-1) # (B,)\n comp_int = comp.to(torch.int32)\n \n # Generate random normal values directly in output shape\n rand_normal = torch.randn(B, D, dtype=mu.dtype, device=mu.device)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel - kernel handles all indexing\n module.mixture_reparam(\n mu.float(), log_var.float(), log_weights.float(),\n comp_int, rand_normal.float(),\n z.float(), log_q_z.float(), B, K, D\n )\n else:\n # Simple case\n if mu.dim() == 3:\n mu = mu[:, 0].contiguous()\n log_var = log_var[:, 0].contiguous()\n \n # Generate random normal values using PyTorch\n rand_normal = torch.randn_like(mu) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.simple_reparam(\n mu.float(), log_var.float(), rand_normal.float(),\n z.float(), log_q_z.float(), B, D\n )\n \n return z, log_q_z" }
result ← compile_kernel (ok)
okcompile_kernel compile_kernel PASSED: kernel compiled without errors.
turn 9 · 1 tool call(s) · 194.5s turn · 24.5s LLM · tokens in=27,918 · out=2,891 · total=30,809 · 12,148 chars (click to expand)
turn 9194.5s turn · 24.5s LLM · 170.0s tools · tokens in=27,918 · out=2,891 · total=30,809
reasoning
The kernel has compiled successfully. Let me run a correctness check to make sure it still passes, then I should submit.
call → run_correctness
callrun_correctness { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n#include <cmath>\n\n// Constants for log calculations\nconstexpr float HALF_LOG_2PI = 0.9189385332046727f; // 0.5 * log(2*pi)\n\n// Warp-level reduction using shuffles\n__inline__ __device__ 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\n__inline__ __device__ float block_reduce_sum(float val, float* smem) {\n int lane = threadIdx.x % 32;\n int wid = threadIdx.x / 32;\n \n // Warp reduce\n val = warp_reduce_sum(val);\n \n // Write warp result to shared memory\n if (lane == 0) {\n smem[wid] = val;\n }\n __syncthreads();\n \n // First warp does final reduction\n if (wid == 0) {\n val = (threadIdx.x < (blockDim.x + 31) / 32) ? smem[threadIdx.x] : 0.0f;\n val = warp_reduce_sum(val);\n }\n __syncthreads();\n \n return val;\n}\n\n// Kernel for simple reparameterization - computes z and log_q_z\n__global__ void simple_reparam_kernel(\n const float* __restrict__ mu, // (B, D)\n const float* __restrict__ log_var, // (B, D)\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction (one per warp)\n __shared__ float smem[8]; // Max 8 warps per block\n \n // Each thread handles multiple dimensions\n float thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[idx];\n \n float z_val = mu_val + std_val * rand_val;\n z[idx] = z_val;\n \n // Compute log prob contribution\n float log_prob_d = -0.5f * rand_val * rand_val - 0.5f * log_var_val - HALF_LOG_2PI;\n thread_sum += log_prob_d;\n }\n \n // Block reduce using shuffles\n float sum = block_reduce_sum(thread_sum, smem);\n \n if (threadIdx.x == 0) {\n log_q_z[b] = sum;\n }\n}\n\n// Optimized kernel for mixture reparameterization\n__global__ void mixture_reparam_kernel(\n const float* __restrict__ mu, // (B, K, D)\n const float* __restrict__ log_var, // (B, K, D)\n const float* __restrict__ log_weights, // (K,) - log weights\n const int* __restrict__ components, // (B,) - sampled components\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int K, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n int comp = components[b];\n \n // Shared memory: K log sums + warp partial sums\n extern __shared__ float smem[];\n float* comp_log_sums = smem; // K elements\n float* warp_sums = &smem[K]; // up to 8 warps\n \n // Phase 1: Compute z values\n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int src_idx = b * K * D + comp * D + d;\n int dst_idx = b * D + d;\n \n float mu_val = mu[src_idx];\n float log_var_val = log_var[src_idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[dst_idx];\n \n z[dst_idx] = mu_val + std_val * rand_val;\n }\n __syncthreads();\n \n // Phase 2: Compute log q(z) under mixture\n // Initialize per-component sums\n for (int k = threadIdx.x; k < K; k += blockDim.x) {\n comp_log_sums[k] = 0.0f;\n }\n __syncthreads();\n \n // Each thread computes partial sums for its dimensions across all components\n float my_sums[16]; // Max K\n for (int k = 0; k < K; k++) {\n my_sums[k] = 0.0f;\n }\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n float z_val = z[b * D + d];\n \n #pragma unroll\n for (int k = 0; k < K; k++) {\n int idx = b * K * D + k * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n my_sums[k] += log_prob_d;\n }\n }\n \n // Reduce per-component sums using shuffles\n for (int k = 0; k < K; k++) {\n float sum = block_reduce_sum(my_sums[k], warp_sums);\n \n if (threadIdx.x == 0) {\n comp_log_sums[k] = sum + log_weights[k];\n }\n __syncthreads();\n }\n \n // Compute logsumexp\n if (threadIdx.x == 0) {\n float max_val = -FLT_MAX;\n for (int k = 0; k < K; k++) {\n max_val = fmaxf(max_val, comp_log_sums[k]);\n }\n \n float sum_exp = 0.0f;\n for (int k = 0; k < K; k++) {\n sum_exp += expf(comp_log_sums[k] - max_val);\n }\n log_q_z[b] = max_val + logf(sum_exp);\n }\n}\n\n// Host functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n) {\n int threads = 256;\n simple_reparam_kernel<<<B, threads, 8 * sizeof(float)>>>(\n mu, log_var, rand_normal, z, log_q_z, B, D\n );\n}\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* log_weights,\n const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n) {\n int threads = 256;\n // Shared memory: K + 8 (for warp sums)\n size_t shared_mem = (K + 8) * sizeof(float);\n mixture_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, log_weights, components, rand_normal,\n z, log_q_z, B, K, D\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\n#include <torch/extension.h>\n\n// Declare functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n);\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* log_weights,\n const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n);\n\n// Wrapper functions for PyTorch\nvoid simple_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int D\n) {\n simple_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, D\n );\n}\n\nvoid mixture_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor log_weights,\n torch::Tensor components, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int K, int D\n) {\n mixture_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), log_weights.data_ptr<float>(),\n components.data_ptr<int>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, K, D\n );\n}\n\"\"\"\n\nmodule = load_inline(\n name='reparam_cuda',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['simple_reparam', 'mixture_reparam'],\n extra_cuda_cflags=['-O3', '--use_fast_math', '-arch=sm_90'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Reparameterization trick for differentiable sampling from a diagonal\n Gaussian. Uses custom CUDA kernels for computational acceleration.\n \"\"\"\n\n def __init__(self, latent_dim, num_components=1):\n super().__init__()\n self.latent_dim = latent_dim\n self.num_components = num_components\n if num_components > 1:\n self.logits = nn.Parameter(torch.zeros(num_components))\n\n def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:\n \"\"\"\n Args:\n mu: (B, K, D) or (B, D) \u2013 means\n log_var: (B, K, D) or (B, D) \u2013 log-variances\n Returns:\n (z, log_q_z):\n z: (B, D) \u2013 sampled latents\n log_q_z: (B,) \u2013 log-density of sample under q\n \"\"\"\n B = mu.shape[0]\n K = self.num_components\n D = self.latent_dim\n \n # Ensure inputs are contiguous\n mu = mu.contiguous()\n log_var = log_var.contiguous()\n\n if K > 1 and mu.dim() == 3:\n # Mixture of Gaussians case\n weights = torch.softmax(self.logits, dim=0) # (K,)\n log_weights = torch.log(weights)\n \n # Sample component using PyTorch's multinomial\n comp = torch.multinomial(weights.expand(B, -1), 1).squeeze(-1) # (B,)\n comp_int = comp.to(torch.int32)\n \n # Generate random normal values directly in output shape\n rand_normal = torch.randn(B, D, dtype=mu.dtype, device=mu.device)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel - kernel handles all indexing\n module.mixture_reparam(\n mu.float(), log_var.float(), log_weights.float(),\n comp_int, rand_normal.float(),\n z.float(), log_q_z.float(), B, K, D\n )\n else:\n # Simple case\n if mu.dim() == 3:\n mu = mu[:, 0].contiguous()\n log_var = log_var[:, 0].contiguous()\n \n # Generate random normal values using PyTorch\n rand_normal = torch.randn_like(mu) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.simple_reparam(\n mu.float(), log_var.float(), rand_normal.float(),\n z.float(), log_q_z.float(), B, D\n )\n \n return z, log_q_z" }
result ← run_correctness (ok)
okrun_correctness run_correctness PASSED: (5 / 5) trials all matched the reference. Numerical precision: max_abs_err=1.53e-05 mean_abs_err=7.11e-08 max_rel_err=7.04e-04
turn 10 · FINAL · 1 tool call(s) · 436.7s turn · 26.0s LLM · tokens in=30,874 · out=2,896 · total=33,770 · 12,452 chars (click to expand)
turn 10436.7s turn · 26.0s LLM · 410.7s tools · tokens in=30,874 · out=2,896 · total=33,770 · FINAL
reasoning
The kernel is passing correctness tests with good numerical precision. I've optimized it with warp-level shuffles for reductions. Let me submit this kernel now.
call → submit_kernel
callsubmit_kernel { "kernel_code": "import torch\nimport torch.nn as nn\nfrom torch.utils.cpp_extension import load_inline\nimport math\n\ncuda_source = \"\"\"\n#include <torch/extension.h>\n#include <cuda.h>\n#include <cuda_runtime.h>\n#include <cfloat>\n#include <cmath>\n\n// Constants for log calculations\nconstexpr float HALF_LOG_2PI = 0.9189385332046727f; // 0.5 * log(2*pi)\n\n// Warp-level reduction using shuffles\n__inline__ __device__ 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\n__inline__ __device__ float block_reduce_sum(float val, float* smem) {\n int lane = threadIdx.x % 32;\n int wid = threadIdx.x / 32;\n \n // Warp reduce\n val = warp_reduce_sum(val);\n \n // Write warp result to shared memory\n if (lane == 0) {\n smem[wid] = val;\n }\n __syncthreads();\n \n // First warp does final reduction\n if (wid == 0) {\n val = (threadIdx.x < (blockDim.x + 31) / 32) ? smem[threadIdx.x] : 0.0f;\n val = warp_reduce_sum(val);\n }\n __syncthreads();\n \n return val;\n}\n\n// Kernel for simple reparameterization - computes z and log_q_z\n__global__ void simple_reparam_kernel(\n const float* __restrict__ mu, // (B, D)\n const float* __restrict__ log_var, // (B, D)\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n // Shared memory for reduction (one per warp)\n __shared__ float smem[8]; // Max 8 warps per block\n \n // Each thread handles multiple dimensions\n float thread_sum = 0.0f;\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int idx = b * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[idx];\n \n float z_val = mu_val + std_val * rand_val;\n z[idx] = z_val;\n \n // Compute log prob contribution\n float log_prob_d = -0.5f * rand_val * rand_val - 0.5f * log_var_val - HALF_LOG_2PI;\n thread_sum += log_prob_d;\n }\n \n // Block reduce using shuffles\n float sum = block_reduce_sum(thread_sum, smem);\n \n if (threadIdx.x == 0) {\n log_q_z[b] = sum;\n }\n}\n\n// Optimized kernel for mixture reparameterization\n__global__ void mixture_reparam_kernel(\n const float* __restrict__ mu, // (B, K, D)\n const float* __restrict__ log_var, // (B, K, D)\n const float* __restrict__ log_weights, // (K,) - log weights\n const int* __restrict__ components, // (B,) - sampled components\n const float* __restrict__ rand_normal, // (B, D) - pre-generated N(0,1)\n float* __restrict__ z, // (B, D)\n float* __restrict__ log_q_z, // (B,)\n int B, int K, int D\n) {\n int b = blockIdx.x;\n if (b >= B) return;\n \n int comp = components[b];\n \n // Shared memory: K log sums + warp partial sums\n extern __shared__ float smem[];\n float* comp_log_sums = smem; // K elements\n float* warp_sums = &smem[K]; // up to 8 warps\n \n // Phase 1: Compute z values\n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n int src_idx = b * K * D + comp * D + d;\n int dst_idx = b * D + d;\n \n float mu_val = mu[src_idx];\n float log_var_val = log_var[src_idx];\n float std_val = expf(0.5f * log_var_val);\n float rand_val = rand_normal[dst_idx];\n \n z[dst_idx] = mu_val + std_val * rand_val;\n }\n __syncthreads();\n \n // Phase 2: Compute log q(z) under mixture\n // Initialize per-component sums\n for (int k = threadIdx.x; k < K; k += blockDim.x) {\n comp_log_sums[k] = 0.0f;\n }\n __syncthreads();\n \n // Each thread computes partial sums for its dimensions across all components\n float my_sums[16]; // Max K\n for (int k = 0; k < K; k++) {\n my_sums[k] = 0.0f;\n }\n \n for (int d = threadIdx.x; d < D; d += blockDim.x) {\n float z_val = z[b * D + d];\n \n #pragma unroll\n for (int k = 0; k < K; k++) {\n int idx = b * K * D + k * D + d;\n float mu_val = mu[idx];\n float log_var_val = log_var[idx];\n float std_val = expf(0.5f * log_var_val);\n \n float diff = (z_val - mu_val) / std_val;\n float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;\n my_sums[k] += log_prob_d;\n }\n }\n \n // Reduce per-component sums using shuffles\n for (int k = 0; k < K; k++) {\n float sum = block_reduce_sum(my_sums[k], warp_sums);\n \n if (threadIdx.x == 0) {\n comp_log_sums[k] = sum + log_weights[k];\n }\n __syncthreads();\n }\n \n // Compute logsumexp\n if (threadIdx.x == 0) {\n float max_val = -FLT_MAX;\n for (int k = 0; k < K; k++) {\n max_val = fmaxf(max_val, comp_log_sums[k]);\n }\n \n float sum_exp = 0.0f;\n for (int k = 0; k < K; k++) {\n sum_exp += expf(comp_log_sums[k] - max_val);\n }\n log_q_z[b] = max_val + logf(sum_exp);\n }\n}\n\n// Host functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n) {\n int threads = 256;\n simple_reparam_kernel<<<B, threads, 8 * sizeof(float)>>>(\n mu, log_var, rand_normal, z, log_q_z, B, D\n );\n}\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* log_weights,\n const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n) {\n int threads = 256;\n // Shared memory: K + 8 (for warp sums)\n size_t shared_mem = (K + 8) * sizeof(float);\n mixture_reparam_kernel<<<B, threads, shared_mem>>>(\n mu, log_var, log_weights, components, rand_normal,\n z, log_q_z, B, K, D\n );\n}\n\"\"\"\n\ncpp_source = \"\"\"\n#include <torch/extension.h>\n\n// Declare functions\nvoid simple_reparam_cuda(\n const float* mu, const float* log_var, const float* rand_normal,\n float* z, float* log_q_z, int B, int D\n);\n\nvoid mixture_reparam_cuda(\n const float* mu, const float* log_var, const float* log_weights,\n const int* components, const float* rand_normal,\n float* z, float* log_q_z, int B, int K, int D\n);\n\n// Wrapper functions for PyTorch\nvoid simple_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int D\n) {\n simple_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, D\n );\n}\n\nvoid mixture_reparam(\n torch::Tensor mu, torch::Tensor log_var, torch::Tensor log_weights,\n torch::Tensor components, torch::Tensor rand_normal,\n torch::Tensor z, torch::Tensor log_q_z, int B, int K, int D\n) {\n mixture_reparam_cuda(\n mu.data_ptr<float>(), log_var.data_ptr<float>(), log_weights.data_ptr<float>(),\n components.data_ptr<int>(), rand_normal.data_ptr<float>(),\n z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, K, D\n );\n}\n\"\"\"\n\nmodule = load_inline(\n name='reparam_cuda',\n cpp_sources=cpp_source,\n cuda_sources=cuda_source,\n functions=['simple_reparam', 'mixture_reparam'],\n extra_cuda_cflags=['-O3', '--use_fast_math', '-arch=sm_90'],\n verbose=True\n)\n\n\nclass ModelNew(nn.Module):\n \"\"\"\n Reparameterization trick for differentiable sampling from a diagonal\n Gaussian. Uses custom CUDA kernels for computational acceleration.\n \"\"\"\n\n def __init__(self, latent_dim, num_components=1):\n super().__init__()\n self.latent_dim = latent_dim\n self.num_components = num_components\n if num_components > 1:\n self.logits = nn.Parameter(torch.zeros(num_components))\n\n def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:\n \"\"\"\n Args:\n mu: (B, K, D) or (B, D) \u2013 means\n log_var: (B, K, D) or (B, D) \u2013 log-variances\n Returns:\n (z, log_q_z):\n z: (B, D) \u2013 sampled latents\n log_q_z: (B,) \u2013 log-density of sample under q\n \"\"\"\n B = mu.shape[0]\n K = self.num_components\n D = self.latent_dim\n \n # Ensure inputs are contiguous\n mu = mu.contiguous()\n log_var = log_var.contiguous()\n\n if K > 1 and mu.dim() == 3:\n # Mixture of Gaussians case\n weights = torch.softmax(self.logits, dim=0) # (K,)\n log_weights = torch.log(weights)\n \n # Sample component using PyTorch's multinomial\n comp = torch.multinomial(weights.expand(B, -1), 1).squeeze(-1) # (B,)\n comp_int = comp.to(torch.int32)\n \n # Generate random normal values directly in output shape\n rand_normal = torch.randn(B, D, dtype=mu.dtype, device=mu.device)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel - kernel handles all indexing\n module.mixture_reparam(\n mu.float(), log_var.float(), log_weights.float(),\n comp_int, rand_normal.float(),\n z.float(), log_q_z.float(), B, K, D\n )\n else:\n # Simple case\n if mu.dim() == 3:\n mu = mu[:, 0].contiguous()\n log_var = log_var[:, 0].contiguous()\n \n # Generate random normal values using PyTorch\n rand_normal = torch.randn_like(mu) # (B, D)\n \n # Allocate outputs\n z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)\n log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)\n \n # Call CUDA kernel\n module.simple_reparam(\n mu.float(), log_var.float(), rand_normal.float(),\n z.float(), log_q_z.float(), B, D\n )\n \n return z, log_q_z" }
result ← submit_kernel (ok)
oksubmit_kernel submit_kernel PASSED: (5 / 5) correctness trials all passed. Kernel runtime: 0.15 μs Runtime stats: mean=0.15μs median=?μs std=0.02μs Numerical precision: max_abs_err=1.53e-05 mean_abs_err=7.11e-08 max_rel_err=7.04e-04 Memory: 33.63 MB peak (ref: 34.69 MB, ratio: 0.9694x) Kernel launches: 57 (ref: 113, fusion ratio: 1.9825) Energy: 242.64 mJ/run (ref: 1695.14 mJ, ratio: 6.9862x) SOL score: 0.5113
final submitted kernel (326 lines, 10,463 chars) — full source, untruncated
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline
import math

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

// Constants for log calculations
constexpr float HALF_LOG_2PI = 0.9189385332046727f;  // 0.5 * log(2*pi)

// Warp-level reduction using shuffles
__inline__ __device__ float warp_reduce_sum(float val) {
    #pragma unroll
    for (int offset = 16; offset > 0; offset >>= 1) {
        val += __shfl_down_sync(0xffffffff, val, offset);
    }
    return val;
}

// Block-level reduction
__inline__ __device__ float block_reduce_sum(float val, float* smem) {
    int lane = threadIdx.x % 32;
    int wid = threadIdx.x / 32;
    
    // Warp reduce
    val = warp_reduce_sum(val);
    
    // Write warp result to shared memory
    if (lane == 0) {
        smem[wid] = val;
    }
    __syncthreads();
    
    // First warp does final reduction
    if (wid == 0) {
        val = (threadIdx.x < (blockDim.x + 31) / 32) ? smem[threadIdx.x] : 0.0f;
        val = warp_reduce_sum(val);
    }
    __syncthreads();
    
    return val;
}

// Kernel for simple reparameterization - computes z and log_q_z
__global__ void simple_reparam_kernel(
    const float* __restrict__ mu,           // (B, D)
    const float* __restrict__ log_var,      // (B, D)
    const float* __restrict__ rand_normal,  // (B, D) - pre-generated N(0,1)
    float* __restrict__ z,                  // (B, D)
    float* __restrict__ log_q_z,            // (B,)
    int B, int D
) {
    int b = blockIdx.x;
    if (b >= B) return;
    
    // Shared memory for reduction (one per warp)
    __shared__ float smem[8];  // Max 8 warps per block
    
    // Each thread handles multiple dimensions
    float thread_sum = 0.0f;
    
    for (int d = threadIdx.x; d < D; d += blockDim.x) {
        int idx = b * D + d;
        float mu_val = mu[idx];
        float log_var_val = log_var[idx];
        float std_val = expf(0.5f * log_var_val);
        float rand_val = rand_normal[idx];
        
        float z_val = mu_val + std_val * rand_val;
        z[idx] = z_val;
        
        // Compute log prob contribution
        float log_prob_d = -0.5f * rand_val * rand_val - 0.5f * log_var_val - HALF_LOG_2PI;
        thread_sum += log_prob_d;
    }
    
    // Block reduce using shuffles
    float sum = block_reduce_sum(thread_sum, smem);
    
    if (threadIdx.x == 0) {
        log_q_z[b] = sum;
    }
}

// Optimized kernel for mixture reparameterization
__global__ void mixture_reparam_kernel(
    const float* __restrict__ mu,           // (B, K, D)
    const float* __restrict__ log_var,      // (B, K, D)
    const float* __restrict__ log_weights,  // (K,) - log weights
    const int* __restrict__ components,     // (B,) - sampled components
    const float* __restrict__ rand_normal,  // (B, D) - pre-generated N(0,1)
    float* __restrict__ z,                  // (B, D)
    float* __restrict__ log_q_z,            // (B,)
    int B, int K, int D
) {
    int b = blockIdx.x;
    if (b >= B) return;
    
    int comp = components[b];
    
    // Shared memory: K log sums + warp partial sums
    extern __shared__ float smem[];
    float* comp_log_sums = smem;          // K elements
    float* warp_sums = &smem[K];          // up to 8 warps
    
    // Phase 1: Compute z values
    for (int d = threadIdx.x; d < D; d += blockDim.x) {
        int src_idx = b * K * D + comp * D + d;
        int dst_idx = b * D + d;
        
        float mu_val = mu[src_idx];
        float log_var_val = log_var[src_idx];
        float std_val = expf(0.5f * log_var_val);
        float rand_val = rand_normal[dst_idx];
        
        z[dst_idx] = mu_val + std_val * rand_val;
    }
    __syncthreads();
    
    // Phase 2: Compute log q(z) under mixture
    // Initialize per-component sums
    for (int k = threadIdx.x; k < K; k += blockDim.x) {
        comp_log_sums[k] = 0.0f;
    }
    __syncthreads();
    
    // Each thread computes partial sums for its dimensions across all components
    float my_sums[16];  // Max K
    for (int k = 0; k < K; k++) {
        my_sums[k] = 0.0f;
    }
    
    for (int d = threadIdx.x; d < D; d += blockDim.x) {
        float z_val = z[b * D + d];
        
        #pragma unroll
        for (int k = 0; k < K; k++) {
            int idx = b * K * D + k * D + d;
            float mu_val = mu[idx];
            float log_var_val = log_var[idx];
            float std_val = expf(0.5f * log_var_val);
            
            float diff = (z_val - mu_val) / std_val;
            float log_prob_d = -0.5f * diff * diff - 0.5f * log_var_val - HALF_LOG_2PI;
            my_sums[k] += log_prob_d;
        }
    }
    
    // Reduce per-component sums using shuffles
    for (int k = 0; k < K; k++) {
        float sum = block_reduce_sum(my_sums[k], warp_sums);
        
        if (threadIdx.x == 0) {
            comp_log_sums[k] = sum + log_weights[k];
        }
        __syncthreads();
    }
    
    // Compute logsumexp
    if (threadIdx.x == 0) {
        float max_val = -FLT_MAX;
        for (int k = 0; k < K; k++) {
            max_val = fmaxf(max_val, comp_log_sums[k]);
        }
        
        float sum_exp = 0.0f;
        for (int k = 0; k < K; k++) {
            sum_exp += expf(comp_log_sums[k] - max_val);
        }
        log_q_z[b] = max_val + logf(sum_exp);
    }
}

// Host functions
void simple_reparam_cuda(
    const float* mu, const float* log_var, const float* rand_normal,
    float* z, float* log_q_z, int B, int D
) {
    int threads = 256;
    simple_reparam_kernel<<<B, threads, 8 * sizeof(float)>>>(
        mu, log_var, rand_normal, z, log_q_z, B, D
    );
}

void mixture_reparam_cuda(
    const float* mu, const float* log_var, const float* log_weights,
    const int* components, const float* rand_normal,
    float* z, float* log_q_z, int B, int K, int D
) {
    int threads = 256;
    // Shared memory: K + 8 (for warp sums)
    size_t shared_mem = (K + 8) * sizeof(float);
    mixture_reparam_kernel<<<B, threads, shared_mem>>>(
        mu, log_var, log_weights, components, rand_normal,
        z, log_q_z, B, K, D
    );
}
"""

cpp_source = """
#include <torch/extension.h>

// Declare functions
void simple_reparam_cuda(
    const float* mu, const float* log_var, const float* rand_normal,
    float* z, float* log_q_z, int B, int D
);

void mixture_reparam_cuda(
    const float* mu, const float* log_var, const float* log_weights,
    const int* components, const float* rand_normal,
    float* z, float* log_q_z, int B, int K, int D
);

// Wrapper functions for PyTorch
void simple_reparam(
    torch::Tensor mu, torch::Tensor log_var, torch::Tensor rand_normal,
    torch::Tensor z, torch::Tensor log_q_z, int B, int D
) {
    simple_reparam_cuda(
        mu.data_ptr<float>(), log_var.data_ptr<float>(), rand_normal.data_ptr<float>(),
        z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, D
    );
}

void mixture_reparam(
    torch::Tensor mu, torch::Tensor log_var, torch::Tensor log_weights,
    torch::Tensor components, torch::Tensor rand_normal,
    torch::Tensor z, torch::Tensor log_q_z, int B, int K, int D
) {
    mixture_reparam_cuda(
        mu.data_ptr<float>(), log_var.data_ptr<float>(), log_weights.data_ptr<float>(),
        components.data_ptr<int>(), rand_normal.data_ptr<float>(),
        z.data_ptr<float>(), log_q_z.data_ptr<float>(), B, K, D
    );
}
"""

module = load_inline(
    name='reparam_cuda',
    cpp_sources=cpp_source,
    cuda_sources=cuda_source,
    functions=['simple_reparam', 'mixture_reparam'],
    extra_cuda_cflags=['-O3', '--use_fast_math', '-arch=sm_90'],
    verbose=True
)


class ModelNew(nn.Module):
    """
    Reparameterization trick for differentiable sampling from a diagonal
    Gaussian. Uses custom CUDA kernels for computational acceleration.
    """

    def __init__(self, latent_dim, num_components=1):
        super().__init__()
        self.latent_dim = latent_dim
        self.num_components = num_components
        if num_components > 1:
            self.logits = nn.Parameter(torch.zeros(num_components))

    def forward(self, mu: torch.Tensor, log_var: torch.Tensor) -> tuple:
        """
        Args:
            mu:      (B, K, D) or (B, D) – means
            log_var: (B, K, D) or (B, D) – log-variances
        Returns:
            (z, log_q_z):
                z:       (B, D) – sampled latents
                log_q_z: (B,)   – log-density of sample under q
        """
        B = mu.shape[0]
        K = self.num_components
        D = self.latent_dim
        
        # Ensure inputs are contiguous
        mu = mu.contiguous()
        log_var = log_var.contiguous()

        if K > 1 and mu.dim() == 3:
            # Mixture of Gaussians case
            weights = torch.softmax(self.logits, dim=0)  # (K,)
            log_weights = torch.log(weights)
            
            # Sample component using PyTorch's multinomial
            comp = torch.multinomial(weights.expand(B, -1), 1).squeeze(-1)  # (B,)
            comp_int = comp.to(torch.int32)
            
            # Generate random normal values directly in output shape
            rand_normal = torch.randn(B, D, dtype=mu.dtype, device=mu.device)
            
            # Allocate outputs
            z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)
            log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)
            
            # Call CUDA kernel - kernel handles all indexing
            module.mixture_reparam(
                mu.float(), log_var.float(), log_weights.float(),
                comp_int, rand_normal.float(),
                z.float(), log_q_z.float(), B, K, D
            )
        else:
            # Simple case
            if mu.dim() == 3:
                mu = mu[:, 0].contiguous()
                log_var = log_var[:, 0].contiguous()
            
            # Generate random normal values using PyTorch
            rand_normal = torch.randn_like(mu)  # (B, D)
            
            # Allocate outputs
            z = torch.empty(B, D, dtype=mu.dtype, device=mu.device)
            log_q_z = torch.empty(B, dtype=mu.dtype, device=mu.device)
            
            # Call CUDA kernel
            module.simple_reparam(
                mu.float(), log_var.float(), rand_normal.float(),
                z.float(), log_q_z.float(), B, D
            )
        
        return z, log_q_z