KernelBench hard · H100
W4A16 GEMM Qwen 3.8 Max
5.11%geomean peak fraction across shapes
manually audited: clean
harnessor-fableagent session1h 15mtotal wall1h 16mcheck16sbenchmark6soutput tokens369,829gpu-lock wait0sgpu-lock held22sregimememory
Per-shape vs governing ceilingeach shape graded against whichever binds — bf16 compute or HBM bandwidth
1×12288×40960.148 ms8.9%0.18 TB/s · 9% of 2.0 TB/s HBM · also 1 TFLOPS (0% of compute)
32×12288×40960.226 ms6.0%0.12 TB/s · 6% of 2.0 TB/s HBM · also 14 TFLOPS (2% of compute)
256×12288×40960.762 ms2.3%34 TFLOPS · 4% of 756 TF bf16 peak · also 0.05 TB/s (2% of HBM)
1×4096×40960.139 ms3.1%0.06 TB/s · 3% of 2.0 TB/s HBM · also 0 TFLOPS (0% of compute)
16×14336×40960.171 ms9.1%0.19 TB/s · 9% of 2.0 TB/s HBM · also 11 TFLOPS (1% of compute)
compute-bound memory-bound · bar + right column = official fraction of the ceiling (the geomean input)
geomean(8.9% · 6.0% · 2.3% · 3.1% · 9.1%) = 5.1%
Kernel source (redacted)
"""W4A16 weight-only quantized GEMM for H100 (SM90).
Fused unpack + dequant + GEMM. Triton kernel with per-group (128) bf16
scales/zeros applied inside the K-loop, tensor-core dot in bf16 with fp32
accumulation.
x: (M, K) bf16
w_q: (K // 2, N) uint8 low nibble = even k row, high nibble = odd k row
scales: (K // 128, N) bf16
zeros: (K // 128, N) bf16
out: (M, N) bf16
"""
from __future__ import annotations
import torch
import torch.nn as nn
import triton
import triton.language as tl
OP_TYPE = "gemm_w4a16"
SUPPORTED_PRECISIONS = ["int4_bf16"]
HARDWARE_REQUIRED = ["RTX_PRO_6000", "H100", "B200"]
GROUP_SIZE = 128
# ---------------------------------------------------------------------------
# Triton fused kernel
# ---------------------------------------------------------------------------
@triton.jit
def _w4a16_gemm_kernel(
x_ptr, w_ptr, s_ptr, z_ptr, y_ptr,
M, N, K,
BM: tl.constexpr, BN: tl.constexpr, BK: tl.constexpr,
GROUP_M: tl.constexpr,
):
pid = tl.program_id(0)
num_pid_m = tl.cdiv(M, BM)
num_pid_n = tl.cdiv(N, BN)
# L2-friendly rasterization (grouped along M).
num_pid_in_group = GROUP_M * num_pid_n
group_id = pid // num_pid_in_group
first_pid_m = group_id * GROUP_M
group_size_m = min(num_pid_m - first_pid_m, GROUP_M)
pid_m = first_pid_m + (pid % group_size_m)
pid_n = (pid % num_pid_in_group) // group_size_m
offs_m = pid_m * BM + tl.arange(0, BM)
offs_n = pid_n * BN + tl.arange(0, BN)
offs_kh = tl.arange(0, BK // 2) # packed-byte rows (two k per byte)
mask_m = offs_m < M
# x tiles for even / odd k lanes (two half-K dots per group tile)
x_even_ptrs = x_ptr + offs_m[:, None] * K + (2 * offs_kh)[None, :]
x_odd_ptrs = x_even_ptrs + 1
# packed tile: (BK // 2, BN) uint8, contiguous along N
w_ptrs = w_ptr + offs_kh[:, None] * N + offs_n[None, :]
acc = tl.zeros((BM, BN), dtype=tl.float32)
for k0 in range(0, K, BK):
b = tl.load(w_ptrs) # (BK//2, BN) u8
lo = (b & 0xF).to(tl.float32)
hi = ((b >> 4) & 0xF).to(tl.float32)
g = k0 // 128 # one quant group per BK tile (BK == GROUP_SIZE)
s = tl.load(s_ptr + g * N + offs_n).to(tl.float32) # (BN,)
z = tl.load(z_ptr + g * N + offs_n).to(tl.float32) # (BN,)
w_even = ((lo - z[None, :]) * s[None, :]).to(tl.bfloat16)
w_odd = ((hi - z[None, :]) * s[None, :]).to(tl.bfloat16)
x_even = tl.load(x_even_ptrs, mask=mask_m[:, None], other=0.0)
x_odd = tl.load(x_odd_ptrs, mask=mask_m[:, None], other=0.0)
acc = tl.dot(x_even, w_even, acc)
acc = tl.dot(x_odd, w_odd, acc)
x_even_ptrs += BK
x_odd_ptrs += BK
w_ptrs += (BK // 2) * N
y = acc.to(tl.bfloat16)
y_ptrs = y_ptr + offs_m[:, None] * N + offs_n[None, :]
tl.store(y_ptrs, y, mask=mask_m[:, None])
def _pick_config(M: int, N: int):
# (BM, BN, num_warps, num_stages)
if M <= 16:
return 16, 128, 4, 4
if M <= 32:
return 32, 128, 4, 4
return 64, 256, 8, 4
def w4a16_gemm(x, w_q, scales, zeros, group_size: int = GROUP_SIZE):
M, K = x.shape
Khalf, N = w_q.shape
assert Khalf * 2 == K
BM, BN, nw, ns = _pick_config(M, N)
y = torch.empty((M, N), dtype=torch.bfloat16, device=x.device)
grid = (triton.cdiv(M, BM) * triton.cdiv(N, BN),)
_w4a16_gemm_kernel[grid](
x, w_q, scales, zeros, y,
M, N, K,
BM=BM, BN=BN, BK=group_size, GROUP_M=8,
num_warps=nw, num_stages=ns,
)
return y
class Model(nn.Module):
def __init__(self, M: int, N: int, K: int, group_size: int = GROUP_SIZE):
super().__init__()
assert K % group_size == 0
assert K % 2 == 0
self.M, self.N, self.K = M, N, K
self.group_size = group_size
n_groups = K // group_size
# Buffers match the reference exactly so load_state_dict(strict=True) works.
self.register_buffer("w_q", torch.empty((K // 2, N), dtype=torch.uint8))
self.register_buffer("scales", torch.empty((n_groups, N), dtype=torch.bfloat16))
self.register_buffer("zeros", torch.empty((n_groups, N), dtype=torch.bfloat16))
def forward(self, x: torch.Tensor) -> torch.Tensor:
return w4a16_gemm(x, self.w_q, self.scales, self.zeros, self.group_size)
M = 1
N = 12288
K = 4096
def get_inputs():
x = torch.randn(M, K, dtype=torch.bfloat16)
return [x]
def get_init_inputs():
return [M, N, K]
20260805_081238_or-fable_qwen_qwen3.8-max_07_w4a16_gemm