./kernelbenchhardv3runsopencode · ?
opencode / ? session: ses_228d1f41bffeJKCGM5Fmv1WNby cwd: ?
harness
opencode
model
?
turns
79
tools called
37
events
113
input toks
87,976
output toks
17,719
cache hit
1,369,408
solution.py
final answer
benchmark.log
check.log
result.json
"""Custom top-k kernel: bitonic sort network in shared memory.

Strategy:
  - For k=1: specialized argmax reduction kernel.
  - For k>1, n<=TILE_SIZE: single-block bitonic sort, extract top-k.
  - For k>1, n>TILE_SIZE: two-pass — chunked kernel finds per-tile top-k,
    merge kernel combines them via bitonic sort.
  - TILE_SIZE=2048 elements per tile, 1024 threads per block (each thread
    handles 2 elements during the sort).
"""
import torch
import torch.nn as nn
from torch.utils.cpp_extension import load_inline

TILE_SIZE = 2048
MAX_THREADS = 1024

_cuda_src = r"""
#include <torch/extension.h>
#include <cuda_runtime.h>
#include <float.h>
#include <stdint.h>

// Sort a shared-memory buffer of size N (must be power of 2) using bitonic sort.
// NTHREADS threads cooperate. Each thread owns N/NTHREADS elements initially.
// We use a register-based approach: each thread holds multiple elements.
// For simplicity, we use a sequential bitonic sort approach where all threads
// participate in compare-swap phases via shared memory.

// Actually, let's use a simpler approach: load into smem, then do
// bitonic network with all NTHREADS threads, where the network has
// log2(N) stages and each stage does N/2 compare-swaps distributed
// across NTHREADS threads (each thread does ceil(N/(2*NTHREADS)) swaps).

__device__ __forceinline__ void swap_f(float& a, float& b) { float t=a; a=b; b=t; }
__device__ __forceinline__ void swap_i(int64_t& a, int64_t& b) { int64_t t=a; a=b; b=t; }

__global__
void topk_chunked_kernel(
    const float* __restrict__ input,
    float* __restrict__ intermediate_v,
    int64_t* __restrict__ intermediate_i,
    int n, int k, int num_chunks, int TILE_SZ)
{
    extern __shared__ char smem_raw[];
    float* s_val = (float*)smem_raw;
    int64_t* s_idx = (int64_t*)(s_val + TILE_SZ);

    int chunk_id = blockIdx.x;
    int row      = chunk_id / num_chunks;
    int chunk    = chunk_id % num_chunks;
    int tid      = threadIdx.x;
    int nthreads = blockDim.x;

    int offset = row * n + chunk * TILE_SZ;
    int valid  = n - chunk * TILE_SZ;
    if (valid > TILE_SZ) valid = TILE_SZ;

    // Each thread loads multiple elements (coalesced)
    for (int i = tid; i < TILE_SZ; i += nthreads) {
        if (i < valid) {
            s_val[i] = __ldg(&input[offset + i]);
            s_idx[i] = (int64_t)(chunk * TILE_SZ + i);
        } else {
            s_val[i] = -FLT_MAX;
            s_idx[i] = (int64_t)(chunk * TILE_SZ + i);
        }
    }
    __syncthreads();

    // Bitonic sort in shared memory
    for (int step = 1; step <= TILE_SZ; step <<= 1) {
        for (int sub = step >> 1; sub > 0; sub >>= 1) {
            // Each thread handles multiple compare-swaps
            for (int i = tid; i < (TILE_SZ >> 1); i += nthreads) {
                // Map work index to the two elements to compare
                int block_id = i / sub;
                int block_start = block_id * 2 * sub;
                int offset_in_block = i % sub;
                int a = block_start + offset_in_block;
                int b = block_start + offset_in_block + sub;
                if (b < TILE_SZ) {
                    int dir = (a & step) ? 1 : 0;
                    float va = s_val[a], vb = s_val[b];
                    int64_t ia = s_idx[a], ib = s_idx[b];
                    int swap = (dir == 0) ? (va > vb) : (va < vb);
                    if (swap) {
                        s_val[a] = vb; s_val[b] = va;
                        s_idx[a] = ib; s_idx[b] = ia;
                    }
                }
            }
            __syncthreads();
        }
    }

    // Extract top-k (last k elements, reversed for descending)
    int out_base = row * num_chunks * k + chunk * k;
    for (int i = tid; i < k; i += nthreads) {
        int src = TILE_SZ - 1 - i;
        intermediate_v[out_base + i] = s_val[src];
        intermediate_i[out_base + i] = s_idx[src];
    }
}

__global__
void topk_merge_kernel(
    const float* __restrict__ intermediate_v,
    const int64_t* __restrict__ intermediate_i,
    float* __restrict__ out_values,
    int64_t* __restrict__ out_indices,
    int k, int num_chunks)
{
    extern __shared__ char smem_raw[];
    int total = num_chunks * k;
    // Pad total to next power of 2 for bitonic sort
    int sort_size = 1;
    while (sort_size < total) sort_size <<= 1;

    float* s_val = (float*)smem_raw;
    int64_t* s_idx = (int64_t*)(s_val + sort_size);
    int row = blockIdx.x;
    int tid = threadIdx.x;
    int nthreads = blockDim.x;

    int in_base = row * total;
    // Load actual data
    for (int i = tid; i < total; i += nthreads) {
        s_val[i] = __ldg(&intermediate_v[in_base + i]);
        s_idx[i] = __ldg(&intermediate_i[in_base + i]);
    }
    // Pad with -inf
    for (int i = total + tid; i < sort_size; i += nthreads) {
        s_val[i] = -FLT_MAX;
        s_idx[i] = (int64_t)0;
    }
    __syncthreads();

    // Bitonic sort
    for (int step = 1; step <= sort_size; step <<= 1) {
        for (int sub = step >> 1; sub > 0; sub >>= 1) {
            for (int i = tid; i < (sort_size >> 1); i += nthreads) {
                int block_id = i / sub;
                int block_start = block_id * 2 * sub;
                int offset_in_block = i % sub;
                int a = block_start + offset_in_block;
                int b = block_start + offset_in_block + sub;
                if (b < sort_size) {
                    int dir = (a & step) ? 1 : 0;
                    float va = s_val[a], vb = s_val[b];
                    int64_t ia = s_idx[a], ib = s_idx[b];
                    int swap = (dir == 0) ? (va > vb) : (va < vb);
                    if (swap) {
                        s_val[a] = vb; s_val[b] = va;
                        s_idx[a] = ib; s_idx[b] = ia;
                    }
                }
            }
            __syncthreads();
        }
    }

    // Write top-k (descending)
    int out_base = row * k;
    for (int i = tid; i < k; i += nthreads) {
        int src = sort_size - 1 - i;
        out_values[out_base + i]  = s_val[src];
        out_indices[out_base + i] = s_idx[src];
    }
}

__global__
void topk_argmax_kernel(
    const float* __restrict__ input,
    float* __restrict__ out_values,
    int64_t* __restrict__ out_indices,
    int n)
{
    extern __shared__ char smem_raw[];
    float* s_val = (float*)smem_raw;
    int64_t* s_idx = (int64_t*)(s_val + blockDim.x);

    int row = blockIdx.x;
    int tid = threadIdx.x;
    const float* row_ptr = input + row * n;

    float best_val = -FLT_MAX;
    int64_t best_idx = 0;
    for (int i = tid; i < n; i += blockDim.x) {
        float v = __ldg(&row_ptr[i]);
        if (v > best_val) { best_val = v; best_idx = (int64_t)i; }
    }
    s_val[tid] = best_val;
    s_idx[tid] = best_idx;
    __syncthreads();

    for (int half = blockDim.x >> 1; half > 0; half >>= 1) {
        if (tid < half) {
            if (s_val[tid + half] > s_val[tid]) {
                s_val[tid] = s_val[tid + half];
                s_idx[tid] = s_idx[tid + half];
            }
        }
        __syncthreads();
    }

    if (tid == 0) {
        out_values[row]  = s_val[0];
        out_indices[row] = s_idx[0];
    }
}

PYBIND11_MODULE(TORCH_EXTENSION_NAME, m) {
    m.def("run_argmax", [](torch::Tensor input, int n) {
        int batch = input.size(0);
        auto out_v = torch::empty({batch, 1}, input.options());
        auto out_i = torch::empty({batch, 1}, input.options().dtype(torch::kInt64));
        int block = 1024;
        int smem = block * (4 + 8);
        topk_argmax_kernel<<<batch, block, smem>>>(
            input.data_ptr<float>(), out_v.data_ptr<float>(),
            out_i.data_ptr<int64_t>(), n);
        return std::vector<torch::Tensor>{out_v, out_i};
    }, "argmax top-1");

    m.def("run_chunked", [](torch::Tensor input, torch::Tensor inter_v,
                             torch::Tensor inter_i, int n, int k,
                             int num_chunks, int tile_size) {
        int batch = input.size(0);
        int smem = tile_size * (4 + 8);
        int threads = 1024;
        topk_chunked_kernel<<<batch * num_chunks, threads, smem>>>(
            input.data_ptr<float>(), inter_v.data_ptr<float>(),
            inter_i.data_ptr<int64_t>(), n, k, num_chunks, tile_size);
    }, "chunked top-k");

    m.def("run_merge", [](torch::Tensor inter_v, torch::Tensor inter_i,
                           torch::Tensor out_v, torch::Tensor out_i,
                           int k, int num_chunks) {
        int batch = inter_v.size(0);
        int total = num_chunks * k;
        int sort_size = 1;
        while (sort_size < total) sort_size <<= 1;
        int smem = sort_size * (4 + 8);
        int threads = min(1024, sort_size / 2);
        if (threads < 32) threads = 32;
        topk_merge_kernel<<<batch, threads, smem>>>(
            inter_v.data_ptr<float>(), inter_i.data_ptr<int64_t>(),
            out_v.data_ptr<float>(), out_i.data_ptr<int64_t>(),
            k, num_chunks);
    }, "merge top-k");
}
"""

_topk_module = None

def _get_module():
    global _topk_module
    if _topk_module is None:
        _topk_module = load_inline(
            name="topk_bitonic_v2",
            cpp_sources="",
            cuda_sources=_cuda_src,
            extra_cuda_cflags=["-O3", "--use_fast_math", "-DNDEBUG"],
            verbose=False,
        )
    return _topk_module


class Model(nn.Module):
    def __init__(self, batch: int, n: int, k: int):
        super().__init__()
        self.batch = batch
        self.n = n
        self.k = k
        self.register_buffer("_dummy", torch.zeros(1))

    def forward(self, x: torch.Tensor):
        batch, n = x.shape
        k = self.k
        mod = _get_module()
        x = x.contiguous()

        if k == 1:
            result = mod.run_argmax(x, n)
            return result[0], result[1]

        num_chunks = (n + TILE_SIZE - 1) // TILE_SIZE

        if num_chunks == 1:
            inter_v = torch.empty(batch, k, dtype=torch.float32, device=x.device)
            inter_i = torch.empty(batch, k, dtype=torch.int64, device=x.device)
            mod.run_chunked(x, inter_v, inter_i, n, k, 1, TILE_SIZE)
            return inter_v, inter_i

        inter_v = torch.empty(batch, num_chunks, k, dtype=torch.float32, device=x.device)
        inter_i = torch.empty(batch, num_chunks, k, dtype=torch.int64, device=x.device)
        mod.run_chunked(x, inter_v, inter_i, n, k, num_chunks, TILE_SIZE)

        out_v = torch.empty(batch, k, dtype=torch.float32, device=x.device)
        out_i = torch.empty(batch, k, dtype=torch.int64, device=x.device)
        mod.run_merge(inter_v, inter_i, out_v, out_i, k, num_chunks)
        return out_v, out_i


batch = 64
n = 8192
k = 8


def get_inputs():
    x = torch.randn(batch, n, dtype=torch.float32)
    return [x]


def get_init_inputs():
    return [batch, n, k]
Good progress on correctness. The performance is poor though. Let me profile to understand bottlenecks:
shape=0 variant=eager tflops=0.011 gbps=10.813 ms=0.049
shape=0 variant=compiled tflops=0.006 gbps=6.469 ms=0.081
shape=0 variant=sota tflops=0.011 gbps=10.798 ms=0.049
shape=0 variant=solution tflops=0.006 gbps=6.323 ms=0.083
shape=0 solution_peak_fraction=0.0035
shape=1 variant=eager tflops=0.044 gbps=44.128 ms=0.048
shape=1 variant=compiled tflops=0.025 gbps=25.560 ms=0.082
shape=1 variant=sota tflops=0.045 gbps=44.927 ms=0.047
shape=1 variant=solution tflops=0.032 gbps=32.482 ms=0.065
shape=1 solution_peak_fraction=0.0180
shape=2 variant=eager tflops=0.044 gbps=44.049 ms=0.048
shape=2 variant=compiled tflops=0.026 gbps=26.300 ms=0.080
shape=2 variant=sota tflops=0.044 gbps=44.631 ms=0.047
shape=2 variant=solution tflops=0.031 gbps=30.847 ms=0.068
shape=2 solution_peak_fraction=0.0171
shape=3 variant=eager tflops=0.017 gbps=17.211 ms=0.045
shape=3 variant=compiled tflops=0.010 gbps=9.558 ms=0.081
shape=3 variant=sota tflops=0.017 gbps=17.398 ms=0.044
shape=3 variant=solution tflops=0.019 gbps=19.370 ms=0.040
shape=3 solution_peak_fraction=0.0108
shape=4 variant=eager tflops=0.096 gbps=95.604 ms=0.022
shape=4 variant=compiled tflops=0.035 gbps=35.260 ms=0.060
shape=4 variant=sota tflops=0.099 gbps=99.370 ms=0.021
shape=4 variant=solution tflops=0.206 gbps=206.564 ms=0.010
shape=4 solution_peak_fraction=0.1148
peak_fraction: 0.0168
RESULT: LOW
PASS
{
    "problem": "05_topk_bitonic",
    "harness": "opencode",
    "model": "openrouter-pinned/xiaomi/mimo-v2.5-pro",
    "reasoning_effort": "",
    "has_solution": true,
    "correct": true,
    "peak_fraction": 0.0168,
    "elapsed_seconds": 2076,
    "harness_exit_code": 0,
    "session_complete": true,
    "usage": {"input_tokens": 87976, "output_tokens": 17719, "cache_read_tokens": 1369408, "cache_creation_tokens": 0, "reasoning_tokens": 72021, "total_cost_usd": null}
}

timeline (113 events)

assistant
skill
args
{
  "name": "kernel-optimization"
}
tool
stdout (2962 chars) — TRUNCATED
<skill_content name="kernel-optimization">
# Skill: kernel-optimization

# Kernel Optimization

Unified reference for GPU/TPU kernel work across all platforms. This skill routes to specialized sub-references based on what you need.

## When this skill fires

- Writing or optimizing CUDA, Metal, Triton, HIP, or Pallas kernels
- Porting kernels between platforms (CUDA <-> Metal <-> Triton <-> HIP <-> Pallas)
- Debugging GPU code (OOM, NaN, race conditions, wrong results, hangs)
- Performance profiling and optimization
- Numerical precision issues (FP formats, mixed precision, tolerance)
- AMD MI300/MI350 or TPU v4/v5/v6/v7 specific work

## Sub-references (read on demand)

The following files contain deep platform-specific knowledge. Read the relevant one(s) based on the task:

| File | When to read |
|------|-------------|
| `~/.claude/skills/amd-gpu/SKILL.md` | AMD CDNA/RDNA, ROCm, HIP, MFMA, LDS, chiplet scheduling, HipKittens, AITER |
| `~/.claude/skills/tpu-opt/SKILL.md` | TPU v4-v7, MXU, Pallas kernels, JAX sharding, XLA gotchas, SplashAttention |
| `~/.claude/skills/port-kernel/SKILL.md` | Cross-platform porting: CUDA <-> Metal <-> Triton concept maps, API equivalents, gotchas |
| `~/.claude/skills/debug-gpu/SKILL.md` | OOM diagnosis, NaN tracing, race conditions, compute-sanitizer, FP format specs, tolerance tables |
| `~/.claude/skills/perf-optim/SKILL.md` | Profiling (nsys/ncu/Metal), roofline, occupancy, memory hierarchy, CUTLASS/CuTe, quantization, KernelBench |
| `

... (1462 more chars)
assistant
in 15162out 25cache_r 1024cache_w 0
assistant
read /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic"
}
tool
stdout (209 chars)
<path>/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic</path>
<type>directory</type>
<entries>
benchmark.py
check.py
problem.yaml
PROMPT.txt
reference.py
shapes.py
sota.py

(7 entries)
</entries>
assistant
read /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/reference.py
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/reference.py"
}
tool
stdout (1919 chars) — TRUNCATED
<path>/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/reference.py</path>
<type>file</type>
<content>
1: """Naive top-k reference: torch.topk over the last dim.
2: 
3: This is the correctness oracle. The agent's solution must produce the same
4: top-k values (and equivalent indices modulo ties) within the tolerance
5: declared in problem.yaml. Note that solution.py is FORBIDDEN from calling
6: torch.topk / torch.sort / torch.kthvalue (see problem.yaml).
7: """
8: import torch
9: import torch.nn as nn
10: 
11: OP_TYPE = "topk"
12: SUPPORTED_PRECISIONS = ["fp32"]
13: HARDWARE_REQUIRED = ["RTX_PRO_6000", "H100", "B200"]
14: 
15: 
16: class Model(nn.Module):
17:     """Top-k over the last dim of a 2D tensor.
18: 
19:     Input:
20:         x: (batch, n) fp32
21:     Output:
22:         values:  (batch, k) fp32, sorted descending
23:         indices: (batch, k) int64, into the last dim of x
24:     """
25: 
26:     def __init__(self, batch: int, n: int, k: int):
27:         super().__init__()
28:         self.batch, self.n, self.k = batch, n, k
29:         # No learned parameters, but declare a dummy buffer so state_dict
30:         # is non-empty and load_state_dict(strict=True) is meaningful.
31:         self.register_buffer("_dummy", torch.zeros(1))
32: 
33:     def forward(self, x: torch.Tensor):
34:         values, indices = torch.topk(x, k=self.k, dim=-1, largest=True, sorted=True)
35:         return values, indices
36: 
37: 
38: # Module-level shims rebuilt b

... (419 more chars)
assistant
read /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/check.py
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/check.py"
}
tool
stdout (6402 chars) — TRUNCATED
<path>/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/check.py</path>
<type>file</type>
<content>
1: """Correctness runner for TopK.
2: 
3: Runs solution.Model vs reference.Model across all shapes in shapes.py, 3 seeds
4: each. Top-k correctness has two parts:
5: 
6:   1. VALUES: sol_values must match ref_values within fp32 tol. Both are
7:      returned sorted descending, so positional comparison is well-defined.
8:   2. INDICES: lenient — we do NOT require sol_indices == ref_indices because
9:      ties in x can yield multiple valid index sets. Instead we gather x at
10:      sol_indices and check those values match ref_values within tol. This
11:      catches "wrong indices" without false-failing on legitimate tie-breaks.
12: 
13: Also rejects forbidden ops by grep.
14: """
15: import re
16: import sys
17: from pathlib import Path
18: 
19: import torch
20: import yaml
21: 
22: REPO_ROOT = Path(__file__).resolve().parents[2]
23: sys.path.insert(0, str(REPO_ROOT))
24: 
25: from src.eval.correctness import check_correctness  # noqa: E402
26: 
27: 
28: def main():
29:     try:
30:         import reference
31:         import shapes
32:         import solution
33:     except Exception as e:
34:         print(f"FAIL: import error: {e}")
35:         sys.exit(1)
36: 
37:     problem_yaml = Path("problem.yaml")
38:     meta = yaml.safe_load(problem_yaml.read_text()) if problem_yaml.exists() else {}
39: 
40:     # --- Forbidden-op check --------------------------------

... (4902 more chars)
assistant
read /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/benchmark.py
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/benchmark.py"
}
tool
stdout (4750 chars) — TRUNCATED
<path>/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/benchmark.py</path>
<type>file</type>
<content>
1: """Roofline benchmark for TopK.
2: 
3: For each shape: times eager reference (torch.topk), compiled reference, SOTA
4: (also torch.topk — see sota.py), and the agent's solution. Reports achieved
5: TFLOPS, GB/s, and peak_fraction (vs DRAM bandwidth, since this is memory-bound).
6: 
7: Output lines the harness picks up:
8:   shape=<idx> variant=<name> tflops=<N> gbps=<N> ms=<N>
9:   peak_fraction: <N>  (geomean over shapes of solution's peak_fraction)
10: """
11: import sys
12: from math import exp, log
13: from pathlib import Path
14: 
15: import torch
16: import yaml
17: 
18: REPO_ROOT = Path(__file__).resolve().parents[2]
19: sys.path.insert(0, str(REPO_ROOT))
20: 
21: from src.eval.roofline import compute_gbps, compute_tflops, peak_fraction  # noqa: E402
22: from src.eval.timing import time_fn  # noqa: E402
23: from src.hardware import get as get_hw  # noqa: E402
24: 
25: 
26: def _eval_formula(expr: str, vars: dict) -> float:
27:     return float(eval(expr, {"__builtins__": {}}, vars))
28: 
29: 
30: def main():
31:     import reference
32:     import shapes
33:     import solution
34: 
35:     meta = yaml.safe_load(Path("problem.yaml").read_text())
36:     hw = get_hw(meta["hardware"][0])
37:     peak_tflops = hw.peak_tflops_dense.get(meta["peak_tflops_key"], 0.0)
38:     peak_gbps = hw.peak_bandwidth_gb_s
39:     regime = meta.get("regime", "memory")
40

... (3250 more chars)
assistant
read /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/problem.yaml
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/problem.yaml"
}
tool
stdout (2571 chars) — TRUNCATED
<path>/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/problem.yaml</path>
<type>file</type>
<content>
1: name: 05_topk_bitonic
2: display_name: "TopK via Bitonic Sort"
3: precision: fp32
4: regime: memory
5: 
6: # Top-k is dominated by the input read (small output, no reduction over k).
7: # Comparator-network FLOPs are not the bottleneck on real hardware, so we
8: # track them but score on bandwidth.
9: flops_formula: "batch * n * 4"            # ~O(n log^2 n) compares total, but the
10:                                           # bitonic network is so cheap relative
11:                                           # to memory that a coarse 4*n estimate
12:                                           # is fine for telemetry only.
13: bytes_formula: "batch * n * 4 + batch * k * (4 + 8)"  # fp32 input read + (fp32 value + int64 idx) output
14: 
15: hardware: [RTX_PRO_6000]
16: peak_tflops_key: fp32
17: peak_bandwidth_key: dram
18: 
19: # Top-k correctness:
20: #   - VALUES must match within fp32 atol/rtol (the kth largest value is
21: #     well-defined modulo float-equal ties, so we use a loose-ish tol).
22: #   - INDICES are checked leniently: for each row, the multiset of returned
23: #     indices must select values that match ref values within tol. Direct
24: #     index equality is NOT required (ties in x can yield different valid
25: #     index sets).
26: tolerance:
27:   float32: 1.0e-4
28: 
29: # Forbidden ops — using any of these in solution.py fails corre

... (1071 more chars)
assistant
read /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/shapes.py
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/shapes.py"
}
tool
stdout (1148 chars)
<path>/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/shapes.py</path>
<type>file</type>
<content>
1: """Canonical shape sweep for TopK.
2: 
3: Mix of:
4:   - decoder vocab top-k (single sequence, very large n, moderate k) — pure
5:     bandwidth test; the input read dominates everything.
6:   - prefill / batched attention top-k (many rows, moderate n, small k) — tests
7:     per-row parallelism and shared-memory bitonic networks.
8:   - non-power-of-2 n stress case — bitonic sort networks naturally want
9:     powers of two; this forces the agent to handle padding or partial sorts.
10:   - small-k limit — k=1 (argmax) is a degenerate but useful sanity case.
11: """
12: 
13: SHAPES = [
14:     {"batch": 1,   "n": 131072, "k": 64},   # decoder vocab top-k (Llama vocab ~128k)
15:     {"batch": 64,  "n": 8192,   "k": 8},    # prefill / attention top-k
16:     {"batch": 32,  "n": 16384,  "k": 32},   # mid-size batched
17:     {"batch": 16,  "n": 12000,  "k": 16},   # non-power-of-2 n stress
18:     {"batch": 128, "n": 4096,   "k": 1},    # batched argmax (k=1 corner case)
19: ]

(End of file - total 19 lines)
</content>
assistant
read /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/PROMPT.txt
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/PROMPT.txt"
}
tool
stdout (2249 chars) — TRUNCATED
<path>/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/PROMPT.txt</path>
<type>file</type>
<content>
1: I need you to optimize a top-k kernel for the RTX PRO 6000 (SM120 Blackwell, GDDR7, 1.8 TB/s). The reference implementation is in reference.py and your kernel goes in solution.py. You can make whatever mess you want in this directory — scratch files, intermediate kernels, build artifacts, profiling traces — but the final answer has to be in solution.py with the same Model, get_inputs, and get_init_inputs interface as reference.py.
2: 
3: The input is a 2D fp32 tensor and you return the top-k values and their int64 indices along the last dim, sorted descending, same contract as torch.topk(largest=True, sorted=True). Correctness tolerance is 1e-4 abs/rel on the values; index ties are handled leniently — what matters is the returned values match the reference to tolerance, not that the index sets are bitwise identical. The shapes you have to handle are batch=1 n=131072 k=64 (decoder vocab top-k over a Llama-size vocabulary), batch=64 n=8192 k=8 (prefill / attention top-k), batch=32 n=16384 k=32 (mid-size batched), batch=16 n=12000 k=16 (non-power-of-two n, which bitonic networks don't naturally want), and batch=128 n=4096 k=1 (batched argmax).
4: 
5: This needs to be a real custom kernel — CUDA C++ via torch.utils.cpp_extension.load_inline, Triton, inline PTX, or CUTLASS, whatever you think fits. Don't reach for torch.topk, torch.kthvalue, torch.sort, or torch.ar

... (749 more chars)
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read /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/sota.py
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/sota.py"
}
tool
stdout (1188 chars)
<path>/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/sota.py</path>
<type>file</type>
<content>
1: """SOTA reference for TopK: torch.topk itself.
2: 
3: torch.topk dispatches to a CUB-backed kernel that uses radix-select for
4: moderate k and a tuned bitonic sort for small n. It is the bar the agent's
5: hand-rolled bitonic kernel must beat. There is no obvious vendor library that
6: does better on the (batch, n, k) shape mix we evaluate — Faiss BlockSelect is
7: specialized for k>=32 with much larger n, and CUB's DeviceSegmentedRadixSort
8: sorts the full row (overkill for top-k).
9: 
10: This file is INTENTIONALLY allowed to call torch.topk because it is the SOTA
11: oracle, not the agent's submission. The agent's solution.py is forbidden from
12: using torch.topk (see problem.yaml.forbidden).
13: """
14: from __future__ import annotations
15: 
16: import torch
17: 
18: 
19: def sota_forward(x: torch.Tensor, k: int):
20:     """Best-available top-k reference. x: (batch, n) fp32."""
21:     return torch.topk(x, k=k, dim=-1, largest=True, sorted=True)
22: 
23: 
24: def is_available() -> bool:
25:     return True

(End of file - total 25 lines)
</content>
assistant
read /home/infatoshi/.claude/skills/perf-optim/SKILL.md
args
{
  "filePath": "/home/infatoshi/.claude/skills/perf-optim/SKILL.md"
}
assistant
in 6357out 81cache_r 17088cache_w 0
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read /home/infatoshi/.claude/skills/perf-optim/SKILL.md
args
{
  "filePath": "/home/infatoshi/.claude/skills/perf-optim/SKILL.md"
}
assistant
read /home/infatoshi/cuda/KernelBench-Hard/src/eval/timing.py
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/src/eval/timing.py"
}
tool
stdout (2978 chars) — TRUNCATED
<path>/home/infatoshi/cuda/KernelBench-Hard/src/eval/timing.py</path>
<type>file</type>
<content>
1: """Centralized GPU timing for benchmark.py files.
2: 
3: All problems' benchmark.py should call `time_fn` from here so we have one
4: implementation of warmup, L2 flush, and CUDA event capture to maintain.
5: 
6: Methodology:
7:   - 10 warmup calls absorb Triton autotune (typical ~7 configs) and
8:     torch.compile reduce-overhead CUDA-graph capture.
9:   - Between each timed call, `_l2_flush()` writes 128 MB to evict L2
10:     (Blackwell L2 is 96 MB; we want any prior L2 contents flushed so
11:     we measure HBM-load bandwidth, not L2-cached bandwidth).
12:   - GPU timing via cuda.Event with synchronize() AFTER record() but
13:     BEFORE elapsed_time() — the canonical NVIDIA pattern.
14:   - Reported value is the median of `iters` trials, robust to outliers.
15: 
16: Notes / known biases not addressed here:
17:   - torch.compile(mode="reduce-overhead") gets CUDA graphs which eliminate
18:     launch overhead. Custom Triton/CUDA kernels do NOT get this treatment.
19:     On small shapes where launch overhead matters, this gives compile an
20:     artificial advantage. We accept this as the cost of using the agreed
21:     "compiled" baseline policy.
22:   - cuBLAS / cuDNN allocate workspaces on first call. 10 warmup absorbs.
23:   - Median over a fairly small number of trials (default 30) is fine for
24:     headline numbers but won't catch bimodal distributions. Use --ext

... (1478 more chars)
assistant
read /home/infatoshi/cuda/KernelBench-Hard/src/eval/roofline.py
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/src/eval/roofline.py"
}
tool
stdout (1180 chars)
<path>/home/infatoshi/cuda/KernelBench-Hard/src/eval/roofline.py</path>
<type>file</type>
<content>
1: """Roofline math: achieved TFLOPS / GB/s, peak fraction.
2: 
3: FLOPS and bytes formulas come from the problem's `problem.yaml`. They are the
4: dense-equivalent algorithmic work; kernels that skip work (sparsity, early
5: exit) are still measured against the dense cost.
6: """
7: from __future__ import annotations
8: 
9: 
10: def compute_tflops(flops: float, time_ms: float) -> float:
11:     """flops per invocation and wall time in ms -> TFLOPS."""
12:     if time_ms <= 0:
13:         return 0.0
14:     return flops / (time_ms * 1e-3) / 1e12
15: 
16: 
17: def compute_gbps(bytes_moved: float, time_ms: float) -> float:
18:     """bytes per invocation and wall time in ms -> GB/s."""
19:     if time_ms <= 0:
20:         return 0.0
21:     return bytes_moved / (time_ms * 1e-3) / 1e9
22: 
23: 
24: def peak_fraction(
25:     achieved: float,
26:     peak: float,
27: ) -> float:
28:     """Return achieved / peak, clamped to [0, infinity)."""
29:     if peak <= 0:
30:         return 0.0
31:     return max(0.0, achieved / peak)

(End of file - total 31 lines)
</content>
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in 1155out 114cache_r 23424cache_w 0
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todowrite
args
{
  "todos": [
    {
      "content": "Read reference.py, check.py, benchmark.py, shapes.py, problem.yaml",
      "status": "completed",
      "priority": "high"
    },
    {
      "content": "Implement initial CUDA top-k kernel (bitonic sort in shared memory, tiled)",
      "status": "in_progress",
      "priority": "high"
    },
    {
      "content": "Run check.py to verify correctness across all shapes",
      "status": "pending",
      "priority": "high"
    },
    {
      "content": "Run benchmark.py to get baseline performance numbers",
      "status": "pending",
      "priority": "high

... (399 more chars)
tool
stdout (706 chars)
content: 'Read reference.py, check.py, benchmark.py, shapes.py, problem.yaml'
status: 'completed'
priority: 'high'
content: 'Implement initial CUDA top-k kernel (bitonic sort in shared memory, tiled)'
status: 'in_progress'
priority: 'high'
content: 'Run check.py to verify correctness across all shapes'
status: 'pending'
priority: 'high'
content: 'Run benchmark.py to get baseline performance numbers'
status: 'pending'
priority: 'high'
content: 'Profile with ncu/nsys to identify bottlenecks'
status: 'pending'
priority: 'medium'
content: 'Optimize kernel based on profiling results'
status: 'pending'
priority: 'medium'
content: 'Final correctness check and benchmark'
status: 'pending'
priority: 'high'
assistant
in 2117out 214cache_r 24576cache_w 0
assistant
bash
args
{
  "command": "nvidia-smi --query-gpu=name,memory.total,compute.cap --format=csv,noheader 2>/dev/null || echo \"no GPU\"",
  "description": "Check GPU status and capabilities"
}
tool
stdout (59 chars)
Field "compute.cap" is not a valid field to query.

no GPU
assistant
Let me check GPU status first, then write the initial kernel.
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in 13006out 78cache_r 26688cache_w 0
assistant
bash
args
{
  "command": "nvidia-smi 2>/dev/null | head -20 || echo \"nvidia-smi not available\"",
  "description": "Check GPU info"
}
tool
stdout (1689 chars) — TRUNCATED
Tue Apr 28 21:06:57 2026       
+-----------------------------------------------------------------------------------------+
| NVIDIA-SMI 595.58.03              Driver Version: 595.58.03      CUDA Version: 13.2     |
+-----------------------------------------+------------------------+----------------------+
| GPU  Name                 Persistence-M | Bus-Id          Disp.A | Volatile Uncorr. ECC |
| Fan  Temp   Perf          Pwr:Usage/Cap |           Memory-Usage | GPU-Util  Compute M. |
|                                         |                        |               MIG M. |
|=========================================+========================+======================|
|   0  NVIDIA RTX PRO 6000 Blac...    On  |   00000000:01:00.0  On |                  Off |
| 30%   24C    P8             10W /  600W |     704MiB /  97887MiB |      0%      Default |
|                                         |                        |                  N/A |
+-----------------------------------------+------------------------+----------------------+

+-----------------------------------------------------------------------------------------+
| Processes:                                                                              |
|  GPU   GI   CI              PID   Type   Process name                        GPU Memory |
|        ID   ID                                                               Usage      |
|======================================================================================

... (189 more chars)
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assistant
bash
args
{
  "command": "python3 -c \"import torch; print(torch.cuda.get_device_properties(0))\"",
  "description": "Get detailed GPU properties"
}
tool
stdout (260 chars)
_CudaDeviceProperties(name='NVIDIA RTX PRO 6000 Blackwell Workstation Edition', major=12, minor=0, total_memory=97227MB, multi_processor_count=188, uuid=d594fb7a-abcb-bad5-1fc4-675b478a47df, pci_bus_id=1, pci_device_id=0, pci_domain_id=0, L2_cache_size=128MB)
assistant
in 477out 51cache_r 39872cache_w 0
assistant
read /home/infatoshi/.claude/skills/perf-optim/SKILL.md
args
{
  "filePath": "/home/infatoshi/.claude/skills/perf-optim/SKILL.md"
}
assistant
Good - SM120, 188 SMs, 96GB GDDR7, 128MB L2. Let me now read the perf-optim skill for guidance, then implement the kernel.
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in 233out 86cache_r 40320cache_w 0
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write /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
diff (275 lines — TRUNCATED)
--- /dev/null
+++ b//home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
@@ -0,0 +1,272 @@
+"""Custom top-k kernel: bitonic sort network in shared memory.
+
+Strategy:
+  - For each row of length n, split into tiles of BLOCK_SIZE elements.
+  - Each CUDA block loads one tile into shared memory, runs a full bitonic
+    sort, and writes the top-k (value, index) pairs to an intermediate buffer.
+  - A merge kernel reads all per-tile top-k results for each row, sorts them
+    with bitonic sort, and writes the final top-k to the output.
+  - For k=1 (argmax), a specialized reduction kernel is used.
+"""
+import os
+import torch
+import torch.nn as nn
+from torch.utils.cpp_extension import load_inline
+
+BLOCK_SIZE = 2048
+
+_cuda_src = r"""
+#include <cuda_runtime.h>
+#include <float.h>
+#include <stdint.h>
+
+// Per-tile top-k kernel: each block processes one tile of one row.
+// grid:  (batch * num_chunks, 1, 1)
+// block: (BLOCK_SIZE,)
+extern "C" __global__
+void topk_chunked_kernel(
+    const float* __restrict__ input,    // [batch, n]
+    float* __restrict__ intermediate_v, // [batch, num_chunks, k]
+    long*  __restrict__ intermediate_i, // [batch, num_chunks, k]
+    int n, int k, int num_chunks, int BLOCK_SZ)
+{
+    extern __shared__ char smem_raw[];
+    float* s_val = (float*)smem_raw;
+    long*  s_idx = (long*)(s_val + BLOCK_SZ);
+
+    int chunk_id = blockIdx.x;
+    int row      = chunk_id / num_chunks;
+    int chunk    = chunk_id % num_chunks;
+    int tid      = threadIdx.x;
+
+    int offset = row * n + chunk * BLOCK_SZ;
+    int valid  = n - chunk * BLOCK_SZ;
+    if (valid > BLOCK_SZ) valid = BLOCK_SZ;
+
+    // Load tile into shared memory; pad invalid positions with -inf
+    if (tid < valid) {
+        s_val[tid] = __ldg(&input[offset + tid]);
+        s_idx[tid] = (long)(chunk * BLOCK_SZ + tid);
+    } else {
+        s_val[tid] = -FLT_MAX;
+        s_idx[tid] = (long)(chunk * BLOCK_SZ + tid);
+    }
+    __syncthreads();
+
+    // Bitonic sort (ascending) on the full tile
+    for (int step = 1; step <= BLOCK_SZ; step <<= 1) {
+        for (int sub = step >> 1; sub > 0; sub >>= 1) {
+            int ix = tid ^ sub;
+            if (ix > tid) {
+                int dir = (~((tid & step) | (tid & (step - 1)))) & 1;
+                float va = s_val[tid], vb = s_val[ix];
+                long  ia = s_idx[tid], ib = s_idx[ix];
+                int swap = (dir == 0) ? (va > vb) : (va < vb);
+                if (swap) {
+                    s_val[tid] = vb; s_val[ix] = va;
+                    s_idx[tid] = ib; s_idx[ix] = ia;
+                }
+            }
+            __syncthreads();
+        }
+    }
+
+    // Extract top-k (last k elements, reversed for descending)
+    int out_base = row * num_chunks * k + chunk * k;
+    for (int i = tid; i < k; i += BLOCK_SZ) {
+        int src = BLOCK_SZ - 1 - i;
+        intermediate_v[out_base + i] = s_val[src];
+        intermediate_i[out_base + i] = s_idx[src];
+    }
+}
+
+// Merge kernel: each block merges all per-tile top-k for one row.
+// grid:  (batch, 1, 1)
+// block: (1024,)
+extern "C" __global__
+void topk_merge_kernel(
+    const float* __restrict__ intermediate_v,
+    const long*  __restrict__ intermediate_i,
+    float* __restrict__ out_values,
+    long*  __restrict__ out_indices,
+    int k, int num_chunks)
+{
+    extern __shared__ char smem_raw[];
+    float* s_val = (float*)smem_raw;
+    long*  s_idx = (long*)(s_val + num_chunks * k);
+    int row = blockIdx.x;
+    int tid = threadIdx.x;
+    int total = num_chunks * k;
+
+    // Load all per-tile candidates
+    int in_base = row * total;
+    for (int i = tid; i < total; i += blockDim.x) {
+        s_val[i] = __ldg(&intermediate_v[in_base + i]);
+        s_idx[i] = __ldg(&intermediate_i[in_base + i]);
+    }
+    __syncthreads();
+
+    // Bitonic sort (ascending) on all candidates
+    for (int step = 1; step <= total; step <<= 1) {
+        for (int sub = step >> 1; sub > 0; sub >>= 1) {
+            int ix = tid ^ sub;
+            if (ix > tid && ix < total) {
+                int dir = (~((tid & step) | (tid & (step - 1)))) & 1;
+                float va = s_val[tid], vb = s_val[ix];
+                long  ia = s_idx[tid], ib = s_idx[ix];
+                int swap = (dir == 0) ? (va > vb) : (va < vb);
+                if (swap) {
+                    s_val[tid] = vb; s_val[ix] = va;
+                    s_idx[tid] = ib; s_idx[ix] = ia;
+                }
+            }
+            __syncthreads();
+        }
+    }
+
+    // Write top-k (descending order)
+    int out_base = row * k;
+    for (int i = tid; i < k; i += blockDim.x) {
+        int src = total - 1 - i;
+        out_values[out_base + i]  = s_val[src];
+        out_indices[out_base + i] = s_idx[src];
+    }
+}
+
+// Specialized argmax kernel for k=1: parallel reduction with warp shuffles.
+// grid:  (batch, 1, 1)
+// block: (1024,)
+extern "C" __global__
+void topk_argmax_kernel(
+    const float* __restrict__ input,
+    float* __restrict__ out_values,
+    long*  __restrict__ out_indices,
+    int n)
+{
+    extern __shared__ char smem_raw[];
+    float* s_val = (float*)smem_raw;
+    long*  s_idx = (long*)(s_val + blockDim.x);
+
+    int row = blockIdx.x;
+    int tid = threadIdx.x;
+    const float* row_ptr = input + row * n;
+
+    // Each thread finds local max over its assigned elements
+    float best_val = -FLT_MAX;
+    long  best_idx = 0;
+    for (int i = tid; i < n; i += blockDim.x) {
+        float v = __ldg(&row_ptr[i]);
+        if (v > best_val) { best_val = v; best_idx = (long)i; }
+    }
+    s_val[tid] = best_val;
+    s_idx[tid] = best_idx;
+    __syncthreads();
+
+    // Tree reduction in shared memory
+    for (int half = blockDim.x >> 1; half > 0; half >>= 1) {
+        if (tid < half) {
+            if (s_val[tid + half] > s_val[tid]) {
+                s_val[tid] = s_val[tid + half];
+                s_idx[tid] = s_idx[tid + half];


... (3083 more chars)
args
{
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py",
  "content": "<8698 chars \u2014 see diff>"
}
tool
stdout (24 chars)
Wrote file successfully.
assistant
Now let me implement the initial CUDA kernel for top-k. I'll use a bitonic sort network in shared memory with a two-pass approach: chunked local top-k + merge.
assistant
in 837out 2574cache_r 40512cache_w 0
assistant
write /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
diff (271 lines — TRUNCATED)
--- a//home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
+++ b//home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
@@ -8,7 +8,6 @@
     with bitonic sort, and writes the final top-k to the output.
   - For k=1 (argmax), a specialized reduction kernel is used.
 """
-import os
 import torch
 import torch.nn as nn
 from torch.utils.cpp_extension import load_inline
@@ -16,6 +15,7 @@
 BLOCK_SIZE = 2048
 
 _cuda_src = r"""
+#include <torch/extension.h>
 #include <cuda_runtime.h>
 #include <float.h>
 #include <stdint.h>
@@ -23,16 +23,16 @@
 // Per-tile top-k kernel: each block processes one tile of one row.
 // grid:  (batch * num_chunks, 1, 1)
 // block: (BLOCK_SIZE,)
-extern "C" __global__
+__global__
 void topk_chunked_kernel(
-    const float* __restrict__ input,    // [batch, n]
-    float* __restrict__ intermediate_v, // [batch, num_chunks, k]
-    long*  __restrict__ intermediate_i, // [batch, num_chunks, k]
+    const float* __restrict__ input,
+    float* __restrict__ intermediate_v,
+    int64_t* __restrict__ intermediate_i,
     int n, int k, int num_chunks, int BLOCK_SZ)
 {
     extern __shared__ char smem_raw[];
     float* s_val = (float*)smem_raw;
-    long*  s_idx = (long*)(s_val + BLOCK_SZ);
+    int64_t* s_idx = (int64_t*)(s_val + BLOCK_SZ);
 
     int chunk_id = blockIdx.x;
     int row      = chunk_id / num_chunks;
@@ -43,24 +43,23 @@
     int valid  = n - chunk * BLOCK_SZ;
     if (valid > BLOCK_SZ) valid = BLOCK_SZ;
 
-    // Load tile into shared memory; pad invalid positions with -inf
     if (tid < valid) {
         s_val[tid] = __ldg(&input[offset + tid]);
-        s_idx[tid] = (long)(chunk * BLOCK_SZ + tid);
+        s_idx[tid] = (int64_t)(chunk * BLOCK_SZ + tid);
     } else {
         s_val[tid] = -FLT_MAX;
-        s_idx[tid] = (long)(chunk * BLOCK_SZ + tid);
+        s_idx[tid] = (int64_t)(chunk * BLOCK_SZ + tid);
     }
     __syncthreads();
 
-    // Bitonic sort (ascending) on the full tile
+    // Bitonic sort (ascending)
     for (int step = 1; step <= BLOCK_SZ; step <<= 1) {
         for (int sub = step >> 1; sub > 0; sub >>= 1) {
             int ix = tid ^ sub;
             if (ix > tid) {
                 int dir = (~((tid & step) | (tid & (step - 1)))) & 1;
                 float va = s_val[tid], vb = s_val[ix];
-                long  ia = s_idx[tid], ib = s_idx[ix];
+                int64_t ia = s_idx[tid], ib = s_idx[ix];
                 int swap = (dir == 0) ? (va > vb) : (va < vb);
                 if (swap) {
                     s_val[tid] = vb; s_val[ix] = va;
@@ -81,24 +80,21 @@
 }
 
 // Merge kernel: each block merges all per-tile top-k for one row.
-// grid:  (batch, 1, 1)
-// block: (1024,)
-extern "C" __global__
+__global__
 void topk_merge_kernel(
     const float* __restrict__ intermediate_v,
-    const long*  __restrict__ intermediate_i,
+    const int64_t* __restrict__ intermediate_i,
     float* __restrict__ out_values,
-    long*  __restrict__ out_indices,
+    int64_t* __restrict__ out_indices,
     int k, int num_chunks)
 {
     extern __shared__ char smem_raw[];
     float* s_val = (float*)smem_raw;
-    long*  s_idx = (long*)(s_val + num_chunks * k);
+    int64_t* s_idx = (int64_t*)(s_val + num_chunks * k);
     int row = blockIdx.x;
     int tid = threadIdx.x;
     int total = num_chunks * k;
 
-    // Load all per-tile candidates
     int in_base = row * total;
     for (int i = tid; i < total; i += blockDim.x) {
         s_val[i] = __ldg(&intermediate_v[in_base + i]);
@@ -106,14 +102,14 @@
     }
     __syncthreads();
 
-    // Bitonic sort (ascending) on all candidates
+    // Bitonic sort (ascending)
     for (int step = 1; step <= total; step <<= 1) {
         for (int sub = step >> 1; sub > 0; sub >>= 1) {
             int ix = tid ^ sub;
             if (ix > tid && ix < total) {
                 int dir = (~((tid & step) | (tid & (step - 1)))) & 1;
                 float va = s_val[tid], vb = s_val[ix];
-                long  ia = s_idx[tid], ib = s_idx[ix];
+                int64_t ia = s_idx[tid], ib = s_idx[ix];
                 int swap = (dir == 0) ? (va > vb) : (va < vb);
                 if (swap) {
                     s_val[tid] = vb; s_val[ix] = va;
@@ -124,7 +120,7 @@
         }
     }
 
-    // Write top-k (descending order)
+    // Write top-k (descending)
     int out_base = row * k;
     for (int i = tid; i < k; i += blockDim.x) {
         int src = total - 1 - i;
@@ -133,36 +129,32 @@
     }
 }
 
-// Specialized argmax kernel for k=1: parallel reduction with warp shuffles.
-// grid:  (batch, 1, 1)
-// block: (1024,)
-extern "C" __global__
+// Argmax kernel for k=1
+__global__
 void topk_argmax_kernel(
     const float* __restrict__ input,
     float* __restrict__ out_values,
-    long*  __restrict__ out_indices,
+    int64_t* __restrict__ out_indices,
     int n)
 {
     extern __shared__ char smem_raw[];
     float* s_val = (float*)smem_raw;
-    long*  s_idx = (long*)(s_val + blockDim.x);
+    int64_t* s_idx = (int64_t*)(s_val + blockDim.x);
 
     int row = blockIdx.x;
     int tid = threadIdx.x;
     const float* row_ptr = input + row * n;
 
-    // Each thread finds local max over its assigned elements
     float best_val = -FLT_MAX;
-    long  best_idx = 0;
+    int64_t best_idx = 0;
     for (int i = tid; i < n; i += blockDim.x) {
         float v = __ldg(&row_ptr[i]);
-        if (v > best_val) { best_val = v; best_idx = (long)i; }
+        if (v > best_val) { best_val = v; best_idx = (int64_t)i; }
     }
     s_val[tid] = best_val;
     s_idx[tid] = best_idx;
     __syncthreads();
 
-    // Tree reduction in shared memory
     for (int half = blockDim.x >> 1; half > 0; half >>= 1) {
         if (tid < half) {
             if (s_val[tid + half] > s_val[tid]) {
@@ -178,6 +170,45 @@
         out_indices[row] = s_idx[0];
     }
 }
+
+// C++ wrapper functions exposed to Python
+torch::Tensor run_argmax(torch::Tensor input, int n) {
+    int batch = input.si

... (3962 more chars)
args
{
  "content": "<9705 chars \u2014 see diff>",
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py"
}
tool
stdout (24 chars)
Wrote file successfully.
assistant
I need to fix the module loading - `load_inline` requires C++ wrapper functions to expose kernels to Python. Let me rewrite with proper bindings.
assistant
in 2726out 2855cache_r 41344cache_w 0
assistant
bash
args
{
  "command": "<395 chars \u2014 see below>",
  "description": "Test load_inline with PYBIND11_MODULE",
  "timeout": 60000
}
command (395 chars)
python3 -c "
import torch
from torch.utils.cpp_extension import load_inline
src = '''
#include <torch/extension.h>
torch::Tensor my_add(torch::Tensor a, torch::Tensor b) { return a + b; }
PYBIND11_MODULE(TORCH_EXTENSION_NAME, m) { m.def(\"my_add\", &my_add); }
'''
mod = load_inline(name='test1', cpp_sources=src, cuda_sources='', verbose=False)
print(mod.my_add(torch.ones(3), torch.ones(3)))
"
tool
stdout (21 chars)
tensor([2., 2., 2.])
assistant
in 3525out 161cache_r 44032cache_w 0
assistant
bash
args
{
  "command": "<810 chars \u2014 see below>",
  "description": "Test load_inline with CUDA kernel",
  "timeout": 60000
}
command (810 chars)
python3 -c "
import torch
from torch.utils.cpp_extension import load_inline

cuda_src = '''
#include <torch/extension.h>
#include <cuda_runtime.h>

__global__ void add_kernel(float* a, float* b, float* c, int n) {
    int i = blockIdx.x * blockDim.x + threadIdx.x;
    if (i < n) c[i] = a[i] + b[i];
}

torch::Tensor my_cuda_add(torch::Tensor a, torch::Tensor b) {
    auto c = torch::empty_like(a);
    int n = a.numel();
    add_kernel<<<(n+255)/256, 256>>>(a.data_ptr<float>(), b.data_ptr<float>(), c.data_ptr<float>(), n);
    return c;
}

PYBIND11_MODULE(TORCH_EXTENSION_NAME, m) {
    m.def(\"my_cuda_add\", &my_cuda_add);
}
'''
mod = load_inline(name='test2', cpp_sources='', cuda_sources=cuda_src, verbose=False)
print(mod.my_cuda_add(torch.ones(3, device='cuda'), torch.ones(3, device='cuda')))
" 2>&1
tool
stdout (38 chars)
tensor([2., 2., 2.], device='cuda:0')
assistant
in 472out 292cache_r 47552cache_w 0
assistant
write /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
diff (223 lines — TRUNCATED)
--- a//home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
+++ b//home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
@@ -1,12 +1,10 @@
 """Custom top-k kernel: bitonic sort network in shared memory.
 
 Strategy:
-  - For each row of length n, split into tiles of BLOCK_SIZE elements.
-  - Each CUDA block loads one tile into shared memory, runs a full bitonic
-    sort, and writes the top-k (value, index) pairs to an intermediate buffer.
-  - A merge kernel reads all per-tile top-k results for each row, sorts them
-    with bitonic sort, and writes the final top-k to the output.
-  - For k=1 (argmax), a specialized reduction kernel is used.
+  - For k=1: specialized argmax reduction kernel (warp shuffle + shared mem tree).
+  - For k>1, n<=BLOCK_SIZE: single-block bitonic sort, extract top-k.
+  - For k>1, n>BLOCK_SIZE: two-pass — chunked kernel finds per-tile top-k,
+    merge kernel combines them via bitonic sort.
 """
 import torch
 import torch.nn as nn
@@ -20,9 +18,6 @@
 #include <float.h>
 #include <stdint.h>
 
-// Per-tile top-k kernel: each block processes one tile of one row.
-// grid:  (batch * num_chunks, 1, 1)
-// block: (BLOCK_SIZE,)
 __global__
 void topk_chunked_kernel(
     const float* __restrict__ input,
@@ -70,7 +65,7 @@
         }
     }
 
-    // Extract top-k (last k elements, reversed for descending)
+    // Extract top-k (last k, reversed for descending)
     int out_base = row * num_chunks * k + chunk * k;
     for (int i = tid; i < k; i += BLOCK_SZ) {
         int src = BLOCK_SZ - 1 - i;
@@ -79,7 +74,6 @@
     }
 }
 
-// Merge kernel: each block merges all per-tile top-k for one row.
 __global__
 void topk_merge_kernel(
     const float* __restrict__ intermediate_v,
@@ -102,7 +96,6 @@
     }
     __syncthreads();
 
-    // Bitonic sort (ascending)
     for (int step = 1; step <= total; step <<= 1) {
         for (int sub = step >> 1; sub > 0; sub >>= 1) {
             int ix = tid ^ sub;
@@ -120,7 +113,6 @@
         }
     }
 
-    // Write top-k (descending)
     int out_base = row * k;
     for (int i = tid; i < k; i += blockDim.x) {
         int src = total - 1 - i;
@@ -129,7 +121,6 @@
     }
 }
 
-// Argmax kernel for k=1
 __global__
 void topk_argmax_kernel(
     const float* __restrict__ input,
@@ -171,43 +162,39 @@
     }
 }
 
-// C++ wrapper functions exposed to Python
-torch::Tensor run_argmax(torch::Tensor input, int n) {
-    int batch = input.size(0);
-    auto out_v = torch::empty({batch, 1}, input.options());
-    auto out_i = torch::empty({batch, 1}, input.options().dtype(torch::kInt64));
-    int block = 1024;
-    int smem = block * (4 + 8);
-    topk_argmax_kernel<<<batch, block, smem>>>(
-        input.data_ptr<float>(),
-        out_v.data_ptr<float>(),
-        out_i.data_ptr<int64_t>(),
-        n);
-    return torch::cat({out_v, out_i}, 0);  // pack as [2, batch, 1]
-}
-
-void run_chunked(torch::Tensor input, torch::Tensor inter_v, torch::Tensor inter_i,
-                 int n, int k, int num_chunks, int block_size) {
-    int batch = input.size(0);
-    int smem = block_size * (4 + 8);
-    topk_chunked_kernel<<<batch * num_chunks, block_size, smem>>>(
-        input.data_ptr<float>(),
-        inter_v.data_ptr<float>(),
-        inter_i.data_ptr<int64_t>(),
-        n, k, num_chunks, block_size);
-}
-
-void run_merge(torch::Tensor inter_v, torch::Tensor inter_i,
-               torch::Tensor out_v, torch::Tensor out_i,
-               int k, int num_chunks, int merge_block) {
-    int batch = inter_v.size(0);
-    int smem = num_chunks * k * (4 + 8);
-    topk_merge_kernel<<<batch, merge_block, smem>>>(
-        inter_v.data_ptr<float>(),
-        inter_i.data_ptr<int64_t>(),
-        out_v.data_ptr<float>(),
-        out_i.data_ptr<int64_t>(),
-        k, num_chunks);
+PYBIND11_MODULE(TORCH_EXTENSION_NAME, m) {
+    m.def("run_argmax", [](torch::Tensor input, int n) {
+        int batch = input.size(0);
+        auto out_v = torch::empty({batch, 1}, input.options());
+        auto out_i = torch::empty({batch, 1}, input.options().dtype(torch::kInt64));
+        int block = 1024;
+        int smem = block * (4 + 8);
+        topk_argmax_kernel<<<batch, block, smem>>>(
+            input.data_ptr<float>(), out_v.data_ptr<float>(),
+            out_i.data_ptr<int64_t>(), n);
+        return std::vector<torch::Tensor>{out_v, out_i};
+    }, "argmax top-1");
+
+    m.def("run_chunked", [](torch::Tensor input, torch::Tensor inter_v,
+                             torch::Tensor inter_i, int n, int k,
+                             int num_chunks, int block_size) {
+        int batch = input.size(0);
+        int smem = block_size * (4 + 8);
+        topk_chunked_kernel<<<batch * num_chunks, block_size, smem>>>(
+            input.data_ptr<float>(), inter_v.data_ptr<float>(),
+            inter_i.data_ptr<int64_t>(), n, k, num_chunks, block_size);
+    }, "chunked top-k");
+
+    m.def("run_merge", [](torch::Tensor inter_v, torch::Tensor inter_i,
+                           torch::Tensor out_v, torch::Tensor out_i,
+                           int k, int num_chunks, int merge_block) {
+        int batch = inter_v.size(0);
+        int smem = num_chunks * k * (4 + 8);
+        topk_merge_kernel<<<batch, merge_block, smem>>>(
+            inter_v.data_ptr<float>(), inter_i.data_ptr<int64_t>(),
+            out_v.data_ptr<float>(), out_i.data_ptr<int64_t>(),
+            k, num_chunks);
+    }, "merge top-k");
 }
 """
 
@@ -218,13 +205,10 @@
     if _topk_module is None:
         _topk_module = load_inline(
             name="topk_bitonic",
-            cpp_sources=_cuda_src,
-            cuda_sources="",
-            extra_cuda_cflags=[
-                "-O3",
-                "--use_fast_math",
-                "-DNDEBUG",
-            ],
+            cpp_sources="",
+            cuda_sources=_cuda_src,
+            extra_cuda_cflags=["-O3", "--use_fast_math", "-DNDEBUG"],
+            verbose=False,
     

... (2496 more chars)
args
{
  "content": "<8598 chars \u2014 see diff>",
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py"
}
tool
stdout (24 chars)
Wrote file successfully.
assistant
CUDA kernels with PYBIND11_MODULE work in `cuda_sources`. Let me rewrite the solution properly.
assistant
in 417out 2529cache_r 48000cache_w 0
assistant
bash
args
{
  "command": "<449 chars \u2014 see below>",
  "description": "Verify bitonic sort direction formula"
}
command (449 chars)
python3 -c "
# Verify the bitonic sort direction formula is correct
# Standard: dir = (tid / step) & 1
# Mine:     dir = (~((tid & step) | (tid & (step-1)))) & 1

for step in [1, 2, 4, 8]:
    for tid in range(16):
        standard = (tid // step) & 1
        mine = (~((tid & step) | (tid & (step - 1)))) & 1
        if standard != mine:
            print(f'MISMATCH step={step} tid={tid}: standard={standard} mine={mine}')
print('Done checking')
"
tool
stdout (1669 chars) — TRUNCATED
MISMATCH step=1 tid=0: standard=0 mine=1
MISMATCH step=1 tid=1: standard=1 mine=0
MISMATCH step=1 tid=2: standard=0 mine=1
MISMATCH step=1 tid=3: standard=1 mine=0
MISMATCH step=1 tid=4: standard=0 mine=1
MISMATCH step=1 tid=5: standard=1 mine=0
MISMATCH step=1 tid=6: standard=0 mine=1
MISMATCH step=1 tid=7: standard=1 mine=0
MISMATCH step=1 tid=8: standard=0 mine=1
MISMATCH step=1 tid=9: standard=1 mine=0
MISMATCH step=1 tid=10: standard=0 mine=1
MISMATCH step=1 tid=11: standard=1 mine=0
MISMATCH step=1 tid=12: standard=0 mine=1
MISMATCH step=1 tid=13: standard=1 mine=0
MISMATCH step=1 tid=14: standard=0 mine=1
MISMATCH step=1 tid=15: standard=1 mine=0
MISMATCH step=2 tid=0: standard=0 mine=1
MISMATCH step=2 tid=3: standard=1 mine=0
MISMATCH step=2 tid=4: standard=0 mine=1
MISMATCH step=2 tid=7: standard=1 mine=0
MISMATCH step=2 tid=8: standard=0 mine=1
MISMATCH step=2 tid=11: standard=1 mine=0
MISMATCH step=2 tid=12: standard=0 mine=1
MISMATCH step=2 tid=15: standard=1 mine=0
MISMATCH step=4 tid=0: standard=0 mine=1
MISMATCH step=4 tid=2: standard=0 mine=1
MISMATCH step=4 tid=5: standard=1 mine=0
MISMATCH step=4 tid=7: standard=1 mine=0
MISMATCH step=4 tid=8: standard=0 mine=1
MISMATCH step=4 tid=10: standard=0 mine=1
MISMATCH step=4 tid=13: standard=1 mine=0
MISMATCH step=4 tid=15: standard=1 mine=0
MISMATCH step=8 tid=0: standard=0 mine=1
MISMATCH step=8 tid=2: standard=0 mine=1
MISMATCH step=8 tid=4: standard=0 mine=1
MISMATCH step=8 tid=6: standard=0 mine=1
MISMATCH ste

... (169 more chars)
assistant
in 2605out 182cache_r 48384cache_w 0
assistant
write /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
diff (48 lines)
--- a//home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
+++ b//home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
@@ -47,12 +47,12 @@
     }
     __syncthreads();
 
-    // Bitonic sort (ascending)
+    // Bitonic sort (ascending) - standard direction formula
     for (int step = 1; step <= BLOCK_SZ; step <<= 1) {
         for (int sub = step >> 1; sub > 0; sub >>= 1) {
             int ix = tid ^ sub;
             if (ix > tid) {
-                int dir = (~((tid & step) | (tid & (step - 1)))) & 1;
+                int dir = (tid & step) ? 1 : 0;
                 float va = s_val[tid], vb = s_val[ix];
                 int64_t ia = s_idx[tid], ib = s_idx[ix];
                 int swap = (dir == 0) ? (va > vb) : (va < vb);
@@ -65,7 +65,7 @@
         }
     }
 
-    // Extract top-k (last k, reversed for descending)
+    // Extract top-k (last k elements, reversed for descending)
     int out_base = row * num_chunks * k + chunk * k;
     for (int i = tid; i < k; i += BLOCK_SZ) {
         int src = BLOCK_SZ - 1 - i;
@@ -96,11 +96,12 @@
     }
     __syncthreads();
 
+    // Bitonic sort (ascending)
     for (int step = 1; step <= total; step <<= 1) {
         for (int sub = step >> 1; sub > 0; sub >>= 1) {
             int ix = tid ^ sub;
             if (ix > tid && ix < total) {
-                int dir = (~((tid & step) | (tid & (step - 1)))) & 1;
+                int dir = (tid & step) ? 1 : 0;
                 float va = s_val[tid], vb = s_val[ix];
                 int64_t ia = s_idx[tid], ib = s_idx[ix];
                 int swap = (dir == 0) ? (va > vb) : (va < vb);
@@ -113,6 +114,7 @@
         }
     }
 
+    // Write top-k (descending)
     int out_base = row * k;
     for (int i = tid; i < k; i += blockDim.x) {
         int src = total - 1 - i;
args
{
  "content": "<8656 chars \u2014 see diff>",
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py"
}
tool
stdout (24 chars)
Wrote file successfully.
assistant
My direction formula is wrong - it gives the complement. The standard bitonic sort direction is `(tid & step) ? 1 : 0`. Let me fix this.
assistant
in 1976out 2549cache_r 50944cache_w 0
assistant
bash
args
{
  "command": "<341 chars \u2014 see below>",
  "description": "Verify corrected direction formula"
}
command (341 chars)
python3 -c "
# Verify the corrected formula
for step in [1, 2, 4, 8]:
    for tid in range(16):
        standard = (tid // step) & 1
        corrected = 1 if (tid & step) else 0
        if standard != corrected:
            print(f'MISMATCH step={step} tid={tid}: standard={standard} corrected={corrected}')
print('All OK' if True else '')
"
tool
stdout (7 chars)
All OK
assistant
Let me verify the corrected direction formula:
assistant
in 4741out 141cache_r 52864cache_w 0
assistant
Good, the direction formula matches. Now let me run check.py to test correctness:
assistant
bash
args
{
  "command": "python3 check.py 2>&1",
  "description": "Run correctness check on all shapes",
  "workdir": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic",
  "timeout": 300000
}
tool
stdout (918 chars)
Traceback (most recent call last):
  File "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/check.py", line 149, in <module>
    main()
  File "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/check.py", line 95, in main
    ok, msg = check_correctness(
              ^^^^^^^^^^^^^^^^^^
  File "/home/infatoshi/cuda/KernelBench-Hard/src/eval/correctness.py", line 71, in check_correctness
    if torch.isnan(solution_out).any():
       ^^^^^^^^^^^^^^^^^^^^^^^^^
torch.AcceleratorError: CUDA error: invalid argument
Search for `cudaErrorInvalidValue' in https://docs.nvidia.com/cuda/cuda-runtime-api/group__CUDART__TYPES.html for more information.
CUDA kernel errors might be asynchronously reported at some other API call, so the stacktrace below might be incorrect.
For debugging consider passing CUDA_LAUNCH_BLOCKING=1
Compile with `TORCH_USE_CUDA_DSA` to enable device-side assertions.

assistant
in 182out 105cache_r 57600cache_w 0
assistant
CUDA error - likely related to non-power-of-2 handling or block sizes. Let me debug:
assistant
bash
args
{
  "command": "<541 chars \u2014 see below>",
  "description": "Test k=1 shape with CUDA_LAUNCH_BLOCKING",
  "timeout": 120000,
  "workdir": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic"
}
command (541 chars)
CUDA_LAUNCH_BLOCKING=1 python3 -c "
import torch
import solution

# Test smallest shape first
x = torch.randn(128, 4096, dtype=torch.float32, device='cuda')
model = solution.Model(128, 4096, 1).cuda()
model.eval()
with torch.no_grad():
    v, i = model(x)
print(f'k=1: values shape={v.shape}, indices shape={i.shape}')
print(f'  values[:5]={v[:5].flatten()}')
ref_v, ref_i = torch.topk(x, 1, dim=-1, largest=True, sorted=True)
print(f'  ref[:5]={ref_v[:5].flatten()}')
print(f'  max diff={torch.max(torch.abs(v - ref_v)).item():.6e}')
" 2>&1
tool
stdout (254 chars)
k=1: values shape=torch.Size([128, 1]), indices shape=torch.Size([128, 1])
  values[:5]=tensor([3.9113, 4.4953, 3.5983, 3.8212, 3.5429], device='cuda:0')
  ref[:5]=tensor([3.9113, 4.4953, 3.5983, 3.8212, 3.5429], device='cuda:0')
  max diff=0.000000e+00
assistant
in 563out 291cache_r 57600cache_w 0
assistant
bash
args
{
  "command": "<617 chars \u2014 see below>",
  "description": "Test batch=64, n=8192, k=8",
  "timeout": 120000,
  "workdir": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic"
}
command (617 chars)
CUDA_LAUNCH_BLOCKING=1 python3 -c "
import torch
import solution

# Test batch=64, n=8192, k=8
x = torch.randn(64, 8192, dtype=torch.float32, device='cuda')
model = solution.Model(64, 8192, 8).cuda()
model.eval()
with torch.no_grad():
    v, i = model(x)
print(f'k=8: values shape={v.shape}, indices shape={i.shape}')
ref_v, ref_i = torch.topk(x, 8, dim=-1, largest=True, sorted=True)
print(f'  max val diff={torch.max(torch.abs(v - ref_v)).item():.6e}')
# Check gathered values
gathered = torch.gather(x, -1, i.to(torch.int64))
print(f'  max gathered diff={torch.max(torch.abs(gathered - ref_v)).item():.6e}')
" 2>&1
tool
stdout (402 chars)
Traceback (most recent call last):
  File "<string>", line 12, in <module>
torch.AcceleratorError: CUDA error: invalid argument
Search for `cudaErrorInvalidValue' in https://docs.nvidia.com/cuda/cuda-runtime-api/group__CUDART__TYPES.html for more information.
Compile with `TORCH_USE_CUDA_DSA` to enable device-side assertions.

k=8: values shape=torch.Size([64, 8]), indices shape=torch.Size([64, 8])
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assistant
The error is likely the block size of 2048 threads. SM 12.0 max is 1024 threads/block. Let me verify:
assistant
bash
args
{
  "command": "<166 chars \u2014 see below>",
  "description": "Check max threads per block"
}
command (166 chars)
python3 -c "
import torch
print(torch.cuda.get_device_properties(0).max_threads_per_block)
print(torch.cuda.get_device_properties(0).max_threads_per_multiprocessor)
"
tool
stdout (235 chars)
Traceback (most recent call last):
  File "<string>", line 4, in <module>
AttributeError: 'torch._C._CudaDeviceProperties' object has no attribute 'max_threads_per_multiprocessor'. Did you mean: 'max_threads_per_multi_processor'?
1024
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write /home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
diff (280 lines — TRUNCATED)
--- a//home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
+++ b//home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py
@@ -1,16 +1,19 @@
 """Custom top-k kernel: bitonic sort network in shared memory.
 
 Strategy:
-  - For k=1: specialized argmax reduction kernel (warp shuffle + shared mem tree).
-  - For k>1, n<=BLOCK_SIZE: single-block bitonic sort, extract top-k.
-  - For k>1, n>BLOCK_SIZE: two-pass — chunked kernel finds per-tile top-k,
+  - For k=1: specialized argmax reduction kernel.
+  - For k>1, n<=TILE_SIZE: single-block bitonic sort, extract top-k.
+  - For k>1, n>TILE_SIZE: two-pass — chunked kernel finds per-tile top-k,
     merge kernel combines them via bitonic sort.
+  - TILE_SIZE=2048 elements per tile, 1024 threads per block (each thread
+    handles 2 elements during the sort).
 """
 import torch
 import torch.nn as nn
 from torch.utils.cpp_extension import load_inline
 
-BLOCK_SIZE = 2048
+TILE_SIZE = 2048
+MAX_THREADS = 1024
 
 _cuda_src = r"""
 #include <torch/extension.h>
@@ -18,47 +21,73 @@
 #include <float.h>
 #include <stdint.h>
 
+// Sort a shared-memory buffer of size N (must be power of 2) using bitonic sort.
+// NTHREADS threads cooperate. Each thread owns N/NTHREADS elements initially.
+// We use a register-based approach: each thread holds multiple elements.
+// For simplicity, we use a sequential bitonic sort approach where all threads
+// participate in compare-swap phases via shared memory.
+
+// Actually, let's use a simpler approach: load into smem, then do
+// bitonic network with all NTHREADS threads, where the network has
+// log2(N) stages and each stage does N/2 compare-swaps distributed
+// across NTHREADS threads (each thread does ceil(N/(2*NTHREADS)) swaps).
+
+__device__ __forceinline__ void swap_f(float& a, float& b) { float t=a; a=b; b=t; }
+__device__ __forceinline__ void swap_i(int64_t& a, int64_t& b) { int64_t t=a; a=b; b=t; }
+
 __global__
 void topk_chunked_kernel(
     const float* __restrict__ input,
     float* __restrict__ intermediate_v,
     int64_t* __restrict__ intermediate_i,
-    int n, int k, int num_chunks, int BLOCK_SZ)
+    int n, int k, int num_chunks, int TILE_SZ)
 {
     extern __shared__ char smem_raw[];
     float* s_val = (float*)smem_raw;
-    int64_t* s_idx = (int64_t*)(s_val + BLOCK_SZ);
+    int64_t* s_idx = (int64_t*)(s_val + TILE_SZ);
 
     int chunk_id = blockIdx.x;
     int row      = chunk_id / num_chunks;
     int chunk    = chunk_id % num_chunks;
     int tid      = threadIdx.x;
-
-    int offset = row * n + chunk * BLOCK_SZ;
-    int valid  = n - chunk * BLOCK_SZ;
-    if (valid > BLOCK_SZ) valid = BLOCK_SZ;
-
-    if (tid < valid) {
-        s_val[tid] = __ldg(&input[offset + tid]);
-        s_idx[tid] = (int64_t)(chunk * BLOCK_SZ + tid);
-    } else {
-        s_val[tid] = -FLT_MAX;
-        s_idx[tid] = (int64_t)(chunk * BLOCK_SZ + tid);
+    int nthreads = blockDim.x;
+
+    int offset = row * n + chunk * TILE_SZ;
+    int valid  = n - chunk * TILE_SZ;
+    if (valid > TILE_SZ) valid = TILE_SZ;
+
+    // Each thread loads multiple elements (coalesced)
+    for (int i = tid; i < TILE_SZ; i += nthreads) {
+        if (i < valid) {
+            s_val[i] = __ldg(&input[offset + i]);
+            s_idx[i] = (int64_t)(chunk * TILE_SZ + i);
+        } else {
+            s_val[i] = -FLT_MAX;
+            s_idx[i] = (int64_t)(chunk * TILE_SZ + i);
+        }
     }
     __syncthreads();
 
-    // Bitonic sort (ascending) - standard direction formula
-    for (int step = 1; step <= BLOCK_SZ; step <<= 1) {
+    // Bitonic sort in shared memory
+    for (int step = 1; step <= TILE_SZ; step <<= 1) {
         for (int sub = step >> 1; sub > 0; sub >>= 1) {
-            int ix = tid ^ sub;
-            if (ix > tid) {
-                int dir = (tid & step) ? 1 : 0;
-                float va = s_val[tid], vb = s_val[ix];
-                int64_t ia = s_idx[tid], ib = s_idx[ix];
-                int swap = (dir == 0) ? (va > vb) : (va < vb);
-                if (swap) {
-                    s_val[tid] = vb; s_val[ix] = va;
-                    s_idx[tid] = ib; s_idx[ix] = ia;
+            // Each thread handles multiple compare-swaps
+            for (int i = tid; i < (TILE_SZ >> 1); i += nthreads) {
+                // Map work index to the two elements to compare
+                int block_id = i / sub;
+                int block_start = block_id * 2 * sub;
+                int offset_in_block = i % sub;
+                int a = block_start + offset_in_block;
+                int b = block_start + offset_in_block + sub;
+                if (b < TILE_SZ) {
+                    int dir = (a & step) ? 1 : 0;
+                    float va = s_val[a], vb = s_val[b];
+                    int64_t ia = s_idx[a], ib = s_idx[b];
+                    int swap = (dir == 0) ? (va > vb) : (va < vb);
+                    if (swap) {
+                        s_val[a] = vb; s_val[b] = va;
+                        s_idx[a] = ib; s_idx[b] = ia;
+                    }
                 }
             }
             __syncthreads();
@@ -67,8 +96,8 @@
 
     // Extract top-k (last k elements, reversed for descending)
     int out_base = row * num_chunks * k + chunk * k;
-    for (int i = tid; i < k; i += BLOCK_SZ) {
-        int src = BLOCK_SZ - 1 - i;
+    for (int i = tid; i < k; i += nthreads) {
+        int src = TILE_SZ - 1 - i;
         intermediate_v[out_base + i] = s_val[src];
         intermediate_i[out_base + i] = s_idx[src];
     }
@@ -83,31 +112,48 @@
     int k, int num_chunks)
 {
     extern __shared__ char smem_raw[];
+    int total = num_chunks * k;
+    // Pad total to next power of 2 for bitonic sort
+    int sort_size = 1;
+    while (sort_size < total) sort_size <<= 1;
+
     float* s_val = (float*)smem_raw;
-    int64_t* s_idx = (int64_t*)(s_val + num_chunks * k);
+    int64_t* s_idx = (int64_t*)(s_val + sort_size);
     int row = blockIdx.x;
     int tid = threadIdx.x;
-

... (5761 more chars)
args
{
  "content": "<10880 chars \u2014 see diff>",
  "filePath": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic/solution.py"
}
tool
stdout (24 chars)
Wrote file successfully.
assistant
1024 max threads per block. My kernel launches with 2048 threads - that's the bug. I need to fix the chunked and merge kernels to use at most 1024 threads per block, while still processing BLOCK_SIZE=2048 elements.
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bash
args
{
  "command": "<672 chars \u2014 see below>",
  "description": "Test batch=64, n=8192, k=8",
  "timeout": 120000,
  "workdir": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic"
}
command (672 chars)
CUDA_LAUNCH_BLOCKING=1 python3 -c "
import torch
import solution

# Test batch=64, n=8192, k=8
x = torch.randn(64, 8192, dtype=torch.float32, device='cuda')
model = solution.Model(64, 8192, 8).cuda()
model.eval()
with torch.no_grad():
    v, i = model(x)
print(f'k=8: values shape={v.shape}, indices shape={i.shape}')
ref_v, ref_i = torch.topk(x, 8, dim=-1, largest=True, sorted=True)
print(f'  max val diff={torch.max(torch.abs(v - ref_v)).item():.6e}')
gathered = torch.gather(x, -1, i.to(torch.int64))
print(f'  max gathered diff={torch.max(torch.abs(gathered - ref_v)).item():.6e}')
print(f'  values descending check: {torch.all(v[:, :-1] >= v[:, 1:]).item()}')
" 2>&1
tool
stdout (166 chars)
k=8: values shape=torch.Size([64, 8]), indices shape=torch.Size([64, 8])
  max val diff=0.000000e+00
  max gathered diff=0.000000e+00
  values descending check: True
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bash
args
{
  "command": "<815 chars \u2014 see below>",
  "description": "Test all shapes",
  "timeout": 120000,
  "workdir": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic"
}
command (815 chars)
CUDA_LAUNCH_BLOCKING=1 python3 -c "
import torch
import solution

shapes = [
    (1, 131072, 64),
    (64, 8192, 8),
    (32, 16384, 32),
    (16, 12000, 16),
    (128, 4096, 1),
]

for batch, n, k in shapes:
    x = torch.randn(batch, n, dtype=torch.float32, device='cuda')
    model = solution.Model(batch, n, k).cuda()
    model.eval()
    with torch.no_grad():
        v, i = model(x)
    ref_v, ref_i = torch.topk(x, k, dim=-1, largest=True, sorted=True)
    val_diff = torch.max(torch.abs(v - ref_v)).item()
    gathered = torch.gather(x, -1, i.to(torch.int64))
    gather_diff = torch.max(torch.abs(gathered - ref_v)).item()
    desc = torch.all(v[:, :-1] >= v[:, 1:]).item() if k > 1 else True
    print(f'batch={batch} n={n} k={k}: val_diff={val_diff:.2e} gather_diff={gather_diff:.2e} desc={desc}')
" 2>&1
tool
stdout (357 chars)
batch=1 n=131072 k=64: val_diff=0.00e+00 gather_diff=0.00e+00 desc=True
batch=64 n=8192 k=8: val_diff=0.00e+00 gather_diff=0.00e+00 desc=True
batch=32 n=16384 k=32: val_diff=0.00e+00 gather_diff=0.00e+00 desc=True
batch=16 n=12000 k=16: val_diff=0.00e+00 gather_diff=0.00e+00 desc=True
batch=128 n=4096 k=1: val_diff=0.00e+00 gather_diff=0.00e+00 desc=True
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All shapes pass with exact correctness. Let me run the full check.py:
assistant
bash
args
{
  "command": "python3 check.py 2>&1",
  "description": "Run full correctness check",
  "timeout": 300000,
  "workdir": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic"
}
tool
stdout (5 chars)
PASS
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todowrite
args
{
  "todos": [
    {
      "content": "Read reference.py, check.py, benchmark.py, shapes.py, problem.yaml",
      "priority": "high",
      "status": "completed"
    },
    {
      "content": "Implement initial CUDA top-k kernel (bitonic sort in shared memory, tiled)",
      "priority": "high",
      "status": "completed"
    },
    {
      "content": "Run check.py to verify correctness across all shapes",
      "priority": "high",
      "status": "completed"
    },
    {
      "content": "Run benchmark.py to get baseline performance numbers",
      "priority": "high",
      "status": "in_prog

... (403 more chars)
tool
stdout (710 chars)
content: 'Read reference.py, check.py, benchmark.py, shapes.py, problem.yaml'
status: 'completed'
priority: 'high'
content: 'Implement initial CUDA top-k kernel (bitonic sort in shared memory, tiled)'
status: 'completed'
priority: 'high'
content: 'Run check.py to verify correctness across all shapes'
status: 'completed'
priority: 'high'
content: 'Run benchmark.py to get baseline performance numbers'
status: 'in_progress'
priority: 'high'
content: 'Profile with ncu/nsys to identify bottlenecks'
status: 'pending'
priority: 'medium'
content: 'Optimize kernel based on profiling results'
status: 'pending'
priority: 'medium'
content: 'Final correctness check and benchmark'
status: 'pending'
priority: 'high'
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assistant
bash
args
{
  "command": "python3 benchmark.py 2>&1",
  "description": "Run benchmark to get performance numbers",
  "timeout": 300000,
  "workdir": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic"
}
tool
stdout (1367 chars)
shape=0 variant=eager tflops=0.011 gbps=10.731 ms=0.049
shape=0 variant=compiled tflops=0.007 gbps=6.763 ms=0.078
shape=0 variant=sota tflops=0.011 gbps=10.946 ms=0.048
shape=0 variant=solution tflops=0.006 gbps=6.318 ms=0.083
shape=0 solution_peak_fraction=0.0035
shape=1 variant=eager tflops=0.044 gbps=44.009 ms=0.048
shape=1 variant=compiled tflops=0.026 gbps=26.166 ms=0.080
shape=1 variant=sota tflops=0.045 gbps=44.804 ms=0.047
shape=1 variant=solution tflops=0.032 gbps=32.267 ms=0.065
shape=1 solution_peak_fraction=0.0179
shape=2 variant=eager tflops=0.044 gbps=43.903 ms=0.048
shape=2 variant=compiled tflops=0.027 gbps=26.694 ms=0.079
shape=2 variant=sota tflops=0.044 gbps=44.242 ms=0.048
shape=2 variant=solution tflops=0.030 gbps=30.582 ms=0.069
shape=2 solution_peak_fraction=0.0170
shape=3 variant=eager tflops=0.017 gbps=17.114 ms=0.045
shape=3 variant=compiled tflops=0.010 gbps=9.695 ms=0.080
shape=3 variant=sota tflops=0.017 gbps=17.335 ms=0.044
shape=3 variant=solution tflops=0.019 gbps=19.162 ms=0.040
shape=3 solution_peak_fraction=0.0106
shape=4 variant=eager tflops=0.094 gbps=94.501 ms=0.022
shape=4 variant=compiled tflops=0.036 gbps=35.907 ms=0.058
shape=4 variant=sota tflops=0.099 gbps=98.995 ms=0.021
shape=4 variant=solution tflops=0.208 gbps=208.534 ms=0.010
shape=4 solution_peak_fraction=0.1159
peak_fraction: 0.0167
RESULT: LOW
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assistant
Good progress on correctness. The performance is poor though. Let me profile to understand bottlenecks:
assistant
bash
args
{
  "command": "<847 chars \u2014 see below>",
  "description": "Quick timing comparison",
  "timeout": 120000,
  "workdir": "/home/infatoshi/cuda/KernelBench-Hard/problems/05_topk_bitonic"
}
command (847 chars)
python3 -c "
import torch
import solution

# Quick timing comparison
for batch, n, k in [(1, 131072, 64), (64, 8192, 8), (128, 4096, 1)]:
    x = torch.randn(batch, n, dtype=torch.float32, device='cuda')
    model = solution.Model(batch, n, k).cuda().eval()
    
    # Warmup
    for _ in range(5):
        with torch.no_grad(): model(x)
    torch.cuda.synchronize()
    
    # Time
    start = torch.cuda.Event(enable_timing=True)
    end = torch.cuda.Event(enable_timing=True)
    times = []
    for _ in range(50):
        torch.cuda.synchronize()
        start.record()
        with torch.no_grad(): model(x)
        end.record()
        torch.cuda.synchronize()
        times.append(start.elapsed_time(end))
    times.sort()
    print(f'batch={batch} n={n} k={k}: median={times[len(times)//2]:.3f}ms p10={times[len(times)//10]:.3f}ms')
" 2>&1
tool
stdout (147 chars)
batch=1 n=131072 k=64: median=0.081ms p10=0.081ms
batch=64 n=8192 k=8: median=0.063ms p10=0.062ms
batch=128 n=4096 k=1: median=0.009ms p10=0.008ms
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