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import statistics
from task import input_t, output_t
from utils import make_match_reference
# Scaling factor vector size
sf_vec_size = 16
# Helper function for ceiling division
def ceil_div(a, b):
return (a + b - 1) // b
# Helper function to convert scale factor tensor to blocked format
def to_blocked(input_matrix):
rows, cols = input_matrix.shape
# Please ensure rows and cols are multiples of 128 and 4 respectively
n_row_blocks = ceil_div(rows, 128)
n_col_blocks = ceil_div(cols, 4)
padded = input_matrix
blocks = padded.view(n_row_blocks, 128, n_col_blocks, 4).permute(0, 2, 1, 3)
rearranged = blocks.reshape(-1, 4, 32, 4).transpose(1, 2).reshape(-1, 32, 16)
return rearranged.flatten()
def ref_kernel(
data: input_t,
) -> output_t:
"""
PyTorch reference implementation of NVFP4 block-scaled dual GEMM with silu activation,
C = silu(A @ B1) * (A @ B2).
"""
a_ref, b1_ref, b2_ref, sfa_ref_cpu, sfb1_ref_cpu, sfb2_ref_cpu, _, _, _, c_ref = data
# Get dimensions from MxNxL layout
m, n, l = c_ref.shape
# Call torch._scaled_mm to compute the GEMV result
ref1 = torch.empty(
(l, m, n),
dtype=torch.float32,
device="cuda",
).permute(1, 2, 0)
ref2 = torch.empty(
(l, m, n),
dtype=torch.float32,
device="cuda",
).permute(1, 2, 0)
for l_idx in range(l):
# Convert the scale factor tensor to blocked format
scale_a = to_blocked(sfa_ref_cpu[:, :, l_idx])
scale_b1 = to_blocked(sfb1_ref_cpu[:, :, l_idx])
scale_b2 = to_blocked(sfb2_ref_cpu[:, :, l_idx])
# (m, k) @ (n, k).T -> (m, n)
res1 = torch._scaled_mm(
a_ref[:, :, l_idx],
b1_ref[:, :, l_idx].transpose(0, 1),
scale_a.cuda(),
scale_b1.cuda(),
bias=None,
out_dtype=torch.float32,
)
ref1[:, :, l_idx] = res1
res2 = torch._scaled_mm(
a_ref[:, :, l_idx],
b2_ref[:, :, l_idx].transpose(0, 1),
scale_a.cuda(),
scale_b2.cuda(),
bias=None,
out_dtype=torch.float32,
)
ref2[:, :, l_idx] = res2
# Do silu on the first GEMM result and multiply with the second GEMM result
c_ref = (torch.nn.functional.silu(ref1) * ref2).to(torch.float16)
return c_ref
def generate_input(
m: int,
n: int,
k: int,
l: int,
seed: int,
):
"""
Generate input tensors for NVFP4 block-scaled dual GEMM with silu activation,
C = silu(A @ B1) * (A @ B2).
Args:
m: Number of rows in matrix A
n: Number of columns in matrix B1 and B2
k: Number of columns in A and rows of B1 and B2
l: Batch size
seed: Random seed for reproducibility
Returns:
Tuple of (a, b, scale_a, scale_b, c) where:
a: [m, k, l] - Input matrix in torch.float4e2m1fn_x2 data type
b1: [n, k, l] - Input matrix in torch.float4e2m1fn_x2 data type
b2: [n, k, l] - Input matrix in torch.float4e2m1fn_x2 data type
scale_a: [m, k, l] - Input scale factors in torch.float8e4m3fn data type
scale_b1: [n, k, l] - Input scale factors in torch.float8e4m3fn data type
scale_b2: [n, k, l] - Input scale factors in torch.float8e4m3fn data type
scale_a_permuted: [32, 4, rest_m, 4, rest_k, l] - Input scale factors in torch.float8e4m3fn data type
scale_b1_permuted: [32, 4, rest_n, 4, rest_k, l] - Input scale factors in torch.float8e4m3fn data type
scale_b2_permuted: [32, 4, rest_n, 4, rest_k, l] - Input scale factors in torch.float8e4m3fn data type
c: [m, n, l] - Output matrix in torch.float16 data type
"""
torch.manual_seed(seed)
def create_fp4_tensors(l, mn, k):
# generate uint8 tensor, then convert to float4e2m1fn_x2 data type
# generate all bit patterns
ref_i8 = torch.randint(255, size=(l, mn, k // 2), dtype=torch.uint8, device="cuda")
# for each nibble, only keep the sign bit and 2 LSBs
# the possible values are [-1.5, -1, -0.5, 0, +0.5, +1, +1.5]
ref_i8 = ref_i8 & 0b1011_1011
return ref_i8.permute(1, 2, 0).view(torch.float4_e2m1fn_x2)
# Generate uint8 tensor, then convert to float4e2m1fn_x2 data type
a_ref = create_fp4_tensors(l, m, k)
b1_ref = create_fp4_tensors(l, n, k)
b2_ref = create_fp4_tensors(l, n, k)
a_ref = a_ref.view(torch.float4_e2m1fn_x2)
b1_ref = b1_ref.view(torch.float4_e2m1fn_x2)
b2_ref = b2_ref.view(torch.float4_e2m1fn_x2)
# Create float16 output tensor
c_ref = torch.randn((l, m, n), dtype=torch.float16, device="cuda").permute(
1, 2, 0
)
# Helper function to prepare the scale factor tensors for both reference
# kernel and customize kernel. The customized data layout can be found in:
# https://docs.nvidia.com/cuda/cublas/index.html?highlight=fp4#d-block-scaling-factors-layout
def create_scale_factor_tensors(l, mn, sf_k):
# Create the reference scale factor tensor (mn, sf_k, l) on CPU.
ref_shape = (l, mn, sf_k)
ref_permute_order = (1, 2, 0)
# Init with fp32 tensor in [0,1), then convert to float8_e4m3fn
ref_f8_random_fp32 = torch.rand(ref_shape, dtype=torch.float32, device='cuda')
ref_f8_torch_tensor = ref_f8_random_fp32.to(dtype=torch.float8_e4m3fn)
# permute to match ref_permute_order
ref_f8_torch_tensor_permuted = ref_f8_torch_tensor.permute(*ref_permute_order)
atom_m = (32, 4)
atom_k = 4
mma_shape = (
l, # batch size
ceil_div(mn, atom_m[0] * atom_m[1]),
ceil_div(sf_k, atom_k),
atom_m[0],
atom_m[1],
atom_k,
)
# Reorder scale factor tensor to (32, 4, rest_m, 4, rest_k, l) layout
# Which is needed by the CuTe customized kernel
mma_permute_order = (3, 4, 1, 5, 2, 0)
# Generate a random int8 tensor, then convert to float8_e4m3fn
rand_int_tensor = torch.empty(mma_shape, dtype=torch.int8, device='cuda')
reordered_f8_torch_tensor = rand_int_tensor.to(dtype=torch.float8_e4m3fn)
# Permute according to mma_permute_order
reordered_f8_torch_tensor = reordered_f8_torch_tensor.permute(*mma_permute_order)
# GPU-side vectorized reordering (replaces slow CPU nested loops)
# Create index grids for all dimensions
i_idx = torch.arange(mn, device='cuda')
j_idx = torch.arange(sf_k, device='cuda')
b_idx = torch.arange(l, device='cuda')
# Create meshgrid for all combinations of (i, j, b)
i_grid, j_grid, b_grid = torch.meshgrid(i_idx, j_idx, b_idx, indexing='ij')
# Calculate target indices in vectorized manner
mm = i_grid // (atom_m[0] * atom_m[1])
mm32 = i_grid % atom_m[0]
mm4 = (i_grid % 128) // atom_m[0]
kk = j_grid // atom_k
kk4 = j_grid % atom_k
# Perform the reordering with advanced indexing (all on GPU)
reordered_f8_torch_tensor[mm32, mm4, mm, kk4, kk, b_grid] = ref_f8_torch_tensor_permuted[i_grid, j_grid, b_grid]
return ref_f8_torch_tensor_permuted.cpu(), reordered_f8_torch_tensor
sf_k = ceil_div(k, sf_vec_size)
sfa_ref_cpu, sfa_ref_permuted = create_scale_factor_tensors(l, m, sf_k)
sfb1_ref_cpu, sfb1_ref_permuted = create_scale_factor_tensors(l, n, sf_k)
sfb2_ref_cpu, sfb2_ref_permuted = create_scale_factor_tensors(l, n, sf_k)
return (a_ref, b1_ref, b2_ref, sfa_ref_cpu.to("cuda"), sfb1_ref_cpu.to("cuda"), sfb2_ref_cpu.to("cuda"), sfa_ref_permuted, sfb1_ref_permuted, sfb2_ref_permuted, c_ref)
check_implementation = make_match_reference(ref_kernel, rtol=1e-02, atol=1e-02)
# ---------------------------------------------------------------------------
# vLLM / Flashinfer baseline comparison for B200 Dual GEMM benchmarking
# ---------------------------------------------------------------------------
def _benchmark_fn(fn, warmup=10, iters=100):
"""Benchmark a callable using CUDA events. Returns median time in ms."""
for _ in range(warmup):
fn()
torch.cuda.synchronize()
times = []
for _ in range(iters):
start = torch.cuda.Event(enable_timing=True)
end = torch.cuda.Event(enable_timing=True)
start.record()
fn()
end.record()
torch.cuda.synchronize()
times.append(start.elapsed_time(end))
return statistics.median(times)
def _prepare_vllm_dual_gemm_silu(a_fp4, b1_fp4, b2_fp4, sfa, sfb1, sfb2, m, n, k, l):
"""
Direct vLLM CUTLASS baseline.
vLLM doesn't have a single 'dual gemm' Python API for FP4.
They literally launch two scaled_mm ops and run pointwise activations.
"""
try:
# FP4 block-scaled GEMM is cutlass_scaled_fp4_mm, NOT cutlass_scaled_mm
# (the latter is the int8/fp8 path and rejects fp4 inputs -- that was the
# source of the empty "()" failure).
from vllm._custom_ops import cutlass_scaled_fp4_mm
except (ImportError, AttributeError):
return None
# Use vLLM's OWN NVFP4 block-scale swizzle. cutlass_scaled_fp4_mm reads the
# scales in vLLM's interleaved 128x4 layout -- which is NOT the same as the
# torchao to_blocked layout that torch._scaled_mm wants (to_blocked adds an
# extra inner 32x4 transpose). Hand-rolling it ran but fed mislaid scales;
# swizzle_blockscale is the canonical vLLM helper, so the baseline is a
# faithful NVFP4 path. Probe the known module locations across versions.
swizzle_blockscale = None
for _mod in ("vllm.model_executor.layers.quantization.utils.nvfp4_utils",
"vllm.model_executor.layers.quantization.utils.quant_utils"):
try:
import importlib
swizzle_blockscale = getattr(importlib.import_module(_mod),
"swizzle_blockscale")
break
except Exception:
continue
if swizzle_blockscale is None:
raise ImportError(
"vllm.cutlass_scaled_fp4_mm is present but swizzle_blockscale "
"(NVFP4 block-scale swizzle) was not found -- cannot lay out scales "
"correctly for the vLLM NVFP4 path."
)
# --- one-time preprocessing (NOT timed) ---
# sfa/sfb are (mn, sf_k) float8_e4m3fn; swizzle_blockscale returns the same
# logical shape in vLLM's interleaved layout, exactly what the kernel reads.
scale_a = [swizzle_blockscale(sfa[:, :, i].contiguous()) for i in range(l)]
scale_b1 = [swizzle_blockscale(sfb1[:, :, i].contiguous()) for i in range(l)]
scale_b2 = [swizzle_blockscale(sfb2[:, :, i].contiguous()) for i in range(l)]
# cutlass_scaled_fp4_mm computes a @ b.T with a:(m,k), b:(n,k) -- the weight
# stays in (n, k) row-major (no transpose), matching res[m,n]=sum_k a[m,k]*b[n,k].
# The op takes the packed FP4 as uint8 (2 nibbles/byte); passing the typed
# torch.float4_e2m1fn_x2 trips the stable-ABI "ScalarType 45 not supported".
a_slices = [a_fp4[:, :, i].contiguous().view(torch.uint8) for i in range(l)]
b1_slices = [b1_fp4[:, :, i].contiguous().view(torch.uint8) for i in range(l)]
b2_slices = [b2_fp4[:, :, i].contiguous().view(torch.uint8) for i in range(l)]
# No global per-tensor scale in this data, so alpha = 1.0.
alpha = torch.tensor(1.0, dtype=torch.float32, device="cuda")
out = torch.empty((l, m, n), dtype=torch.float16, device="cuda").permute(1, 2, 0)
def run():
# Keep the timed region lean and fair: two FP4 GEMMs straight to fp16,
# SiLU * mul fused in fp16. The previous version upcast both products to
# fp32 and did an extra copy_, which at these tiny latency-bound shapes
# cost more than the GEMMs themselves and inflated the speedup.
for l_idx in range(l):
r1 = cutlass_scaled_fp4_mm(
a_slices[l_idx], b1_slices[l_idx],
scale_a[l_idx], scale_b1[l_idx], alpha, torch.float16,
)
r2 = cutlass_scaled_fp4_mm(
a_slices[l_idx], b2_slices[l_idx],
scale_a[l_idx], scale_b2[l_idx], alpha, torch.float16,
)
out[:, :, l_idx] = torch.nn.functional.silu(r1) * r2
return out
return run
def _prepare_flashinfer_dual_gemm_silu(a_fp4, b1_fp4, b2_fp4, sfa, sfb1, sfb2, m, n, k, l):
"""
Flashinfer baseline: uses flashinfer.gemm.bmm_fp4 if it is actually
importable. The real symbol lives at flashinfer.gemm.bmm_fp4 (NOT
flashinfer.bmm_fp4), so we probe for it correctly.
If flashinfer (or its FP4 GEMM) is not available we return None so the
caller can mark the row as skipped -- we deliberately do NOT silently fall
back to the cuBLAS path, because reporting an identical cuBLAS run under a
"Flashinfer" label is misleading (it was the cause of the two baselines
being within noise of each other).
Returns a zero-arg closure that performs only the timed compute, or None if
flashinfer's FP4 GEMM is unavailable.
"""
import importlib
if importlib.util.find_spec("flashinfer") is None:
# flashinfer genuinely not installed -> clean skip.
return None
# flashinfer IS present. mm_fp4 has lived at a few locations across versions
# (top-level re-export, flashinfer.gemm, flashinfer.gemm.gemm_base). Probe
# them in order; if none has it, let the real ImportError propagate so the
# benchmark table shows the actual reason instead of a generic "unavailable".
mm_fp4 = None
_last_err = None
for _modname, _attr in (("flashinfer", "mm_fp4"),
("flashinfer.gemm", "mm_fp4"),
("flashinfer.gemm.gemm_base", "mm_fp4")):
try:
mm_fp4 = getattr(importlib.import_module(_modname), _attr)
break
except Exception as _e: # noqa: BLE001 -- record and try next location
_last_err = _e
if mm_fp4 is None:
raise ImportError(f"flashinfer is installed but mm_fp4 not found: {_last_err}")
# mm_fp4 expects 2D inputs: a is (m, k) fp4, b is (k, n) COLUMN-MAJOR fp4,
# and the block scales must be in the 128x4 layout -- exactly the layout the
# reference feeds to torch._scaled_mm via to_blocked(). Passing the raw
# (mn, sf_k) scale slices (as before) feeds the kernel the wrong layout.
# Hoist all slicing / re-blocking out of the timed region.
# Mirrors the documented call mm_fp4(a_fp4, b_fp4.T, a_sf, b_sf.T, alpha, ...):
# a -> (m, k) fp4
# b -> (k, n) column-major fp4 (b_fp4.T)
# a_descale -> 2D 128x4-blocked scale
# b_descale -> 2D 128x4-blocked scale, transposed (b_sf.T)
# This flashinfer build's internal check requires the packed FP4 as uint8
# storage (it rejected the typed float4_e2m1fn_x2 with "mat1.dtype() ==
# FLOAT4_E2M1X2 ... float4_e2m1fnx2 vs. uint8"). Same 1-byte reinterpret as
# the vLLM path; view BEFORE transpose so the column-major b stays a clean view.
a_slices = [a_fp4[:, :, i].contiguous().view(torch.uint8) for i in range(l)]
b1_slices = [b1_fp4[:, :, i].view(torch.uint8).transpose(0, 1) for i in range(l)]
b2_slices = [b2_fp4[:, :, i].view(torch.uint8).transpose(0, 1) for i in range(l)]
def _blocked_2d(sf_slice):
# 128x4-blocked scale kept as a 2D matrix (round_up(mn,128), round_up(sf_k,4)).
# The flattened buffer triggered the "x.T on non-2D" warning and a wrong
# b_descale orientation.
mn, sfk = sf_slice.shape
return to_blocked(sf_slice).reshape(ceil_div(mn, 128) * 128,
ceil_div(sfk, 4) * 4).contiguous()
sfa_b = [_blocked_2d(sfa[:, :, i]) for i in range(l)]
sfb1_b = [_blocked_2d(sfb1[:, :, i]) for i in range(l)]
sfb2_b = [_blocked_2d(sfb2[:, :, i]) for i in range(l)]
# The cutlass/cudnn FP4 GEMM requires a real alpha tensor (global dequant
# scalar); passing alpha=None failed with "argument #4 expected DLTensor*".
# Our block scales already encode everything, so alpha = 1.0.
alpha = torch.tensor(1.0, dtype=torch.float32, device="cuda")
# Preallocate the GEMM outputs and pass out= so mm_fp4 does not allocate a
# fresh result tensor on every timed call. (mm_fp4 still constructs a backend
# runner and consults the AutoTuner per call -- that eager-dispatch cost is
# inherent to this API and dominates at these tiny latency-bound shapes.)
out1_buf = [torch.empty((m, n), dtype=torch.float16, device="cuda") for _ in range(l)]
out2_buf = [torch.empty((m, n), dtype=torch.float16, device="cuda") for _ in range(l)]
out = torch.empty((l, m, n), dtype=torch.float16, device="cuda").permute(1, 2, 0)
def run():
for i in range(l):
mm_fp4(a_slices[i], b1_slices[i], sfa_b[i], sfb1_b[i].T,
alpha=alpha, out_dtype=torch.float16, out=out1_buf[i],
block_size=sf_vec_size)
mm_fp4(a_slices[i], b2_slices[i], sfa_b[i], sfb2_b[i].T,
alpha=alpha, out_dtype=torch.float16, out=out2_buf[i],
block_size=sf_vec_size)
out[:, :, i] = torch.nn.functional.silu(out1_buf[i]) * out2_buf[i]
return out
return run
def benchmark_comparison(m, n, k, l=1, seed=42, warmup=10, iters=100):
"""
Run head-to-head benchmark of:
1. CuTe DualGEMM kernel (our fused CUTLASS kernel)
2. vLLM baseline (two cuBLAS scaled_mm + SiLU pointwise)
3. Flashinfer baseline (flashinfer.gemm.bmm_fp4 if importable)
All methods share the SAME generated data tensors. Each method's one-time
preprocessing (scale-factor reblocking, buffer allocation) is hoisted out
of the timed region so that only the actual GEMM + SiLU compute is timed --
matching the fact that the CuTe kernel is handed pre-permuted scale factors.
Before timing, the CuTe kernel's output is verified against the PyTorch
reference; if it does not match, its result is meaningless and the row is
flagged rather than reported as a "win".
Prints a comparison table with median kernel time and effective TFLOPS.
"""
from laguna_dual_gemm import custom_kernel
print(f"\n{'='*72}")
print(f" Dual GEMM + SiLU Benchmark -- B200 (M={m}, N={n}, K={k}, L={l})")
print(f"{'='*72}")
data = generate_input(m, n, k, l, seed=seed)
a, b1, b2, sfa, sfb1, sfb2, sfa_p, sfb1_p, sfb2_p, c = data
# Theoretical FLOPs: 2*M*N*K per GEMM, two GEMMs
flops = 2 * 2 * m * n * k * l
# --- Correctness: the CuTe kernel must match the reference before any
# timing number is meaningful. ---
custom_ok, custom_msg = None, ""
try:
custom_out = custom_kernel(data).clone()
custom_ok, custom_msg = check_implementation(data, custom_out)
except Exception as e:
custom_ok, custom_msg = False, f"raised: {e}"
status = "PASS" if custom_ok else "FAIL"
print(f"\n Correctness (CuTe vs PyTorch reference): {status}"
+ (f" -- {custom_msg}" if not custom_ok else ""))
results = {}
# --- 1. CuTe DualGEMM (our kernel) ---
try:
custom_kernel(data)
torch.cuda.synchronize()
ms = _benchmark_fn(lambda: custom_kernel(data), warmup=warmup, iters=iters)
tflops = flops / (ms * 1e-3) / 1e12
results["CuTe DualGEMM (ours)"] = (ms, tflops)
except Exception as e:
results["CuTe DualGEMM (ours)"] = (None, None, str(e))
try:
vllm_run = _prepare_vllm_dual_gemm_silu(a, b1, b2, sfa, sfb1, sfb2, m, n, k, l)
if vllm_run is None:
results["vLLM (CUTLASS scaled_mm)"] = (None, None, "vllm._custom_ops.cutlass_scaled_fp4_mm unavailable")
else:
vllm_run()
torch.cuda.synchronize()
ms = _benchmark_fn(vllm_run, warmup=warmup, iters=iters)
tflops = flops / (ms * 1e-3) / 1e12
results["vLLM (CUTLASS scaled_mm)"] = (ms, tflops)
except Exception as e:
results["vLLM (CUTLASS scaled_mm)"] = (None, None, str(e))
# --- 3. Flashinfer baseline (skipped, not faked, if unavailable) ---
try:
fi_run = _prepare_flashinfer_dual_gemm_silu(a, b1, b2, sfa, sfb1, sfb2, m, n, k, l)
if fi_run is None:
results["Flashinfer"] = (None, None, "flashinfer.mm_fp4 unavailable")
else:
fi_run()
torch.cuda.synchronize()
ms = _benchmark_fn(fi_run, warmup=warmup, iters=iters)
tflops = flops / (ms * 1e-3) / 1e12
results["Flashinfer"] = (ms, tflops)
except Exception as e:
results["Flashinfer"] = (None, None, str(e))
# --- Print table ---
print(f"\n{'Method':<30} {'Time (ms)':>12} {'TFLOPS':>10} {'Speedup':>10}")
print("-" * 65)
vllm_ms = None
if "vLLM (CUTLASS scaled_mm)" in results and len(results["vLLM (CUTLASS scaled_mm)"]) == 2:
vllm_ms = results["vLLM (CUTLASS scaled_mm)"][0]
for name, vals in results.items():
if len(vals) == 3:
print(f"{name:<30} {'FAILED':>12} {'--':>10} {'--':>10} ({vals[2]})")
continue
ms, tflops = vals
speedup_str = "--"
if vllm_ms and ms:
speedup_str = f"{vllm_ms / ms:.2f}x"
print(f"{name:<30} {ms:>11.4f} {tflops:>9.2f} {speedup_str:>10}")
# Summary line -- only claim a speedup if the CuTe kernel is actually correct.
cute_valid = (
custom_ok
and "CuTe DualGEMM (ours)" in results
and len(results["CuTe DualGEMM (ours)"]) == 2
)
if not custom_ok:
print("\n >> CuTe result FAILED correctness -- speedup not reported "
"(a wrong/no-op kernel is not a win).")
else:
if vllm_ms and cute_valid:
cute_ms = results["CuTe DualGEMM (ours)"][0]
print(f"\n >> CuTe DualGEMM is {vllm_ms/cute_ms:.2f}x faster than vLLM cuBLAS baseline")
if cute_valid and "Flashinfer" in results and len(results["Flashinfer"]) == 2:
fi_ms = results["Flashinfer"][0]
cute_ms = results["CuTe DualGEMM (ours)"][0]
print(f" >> CuTe DualGEMM is {fi_ms/cute_ms:.2f}x faster than Flashinfer baseline")
# Reality check: at these shapes the GEMMs are tiny (a few GFLOP) and the
# measurement is dominated by launch/dispatch latency, not throughput.
# Treat the numbers as LATENCY, not as representative B200 FP4 TFLOPS.
print("\n note: M/N/K here are small -> latency-bound; TFLOPS are far below"
" peak and\n scale weakly with size. Use larger M for a throughput number.")
print()
return results
if __name__ == "__main__":
# Laguna XS.2 shapes: Hidden (K) = 2048, Intermediate (N) = 512
# M = Sequence length / tokens processed. Shared expert processes everything.
shapes = [
(4096, 512, 2048), # SX2 prefill
(4096, 512*2, 2048*2), # M1 prefill
(256, 512, 2048), # SX2 decode
]
for m, n, k in shapes:
benchmark_comparison(m, n, k, l=1, seed=42, warmup=20, iters=200)
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