"""One matmul on one mesh, then the same matmul column-parallel across four. python scripts/py/split_matmul.py python scripts/py/split_matmul.py --meshes 02 --m 64 `b` is split along N, so mesh m holds `a` copied and `b_m`, computes its own output columns, and NOTHING is exchanged. Concatenating the four is the answer. Measured 2026-08-13 at 128x256x256: compute scales **3.98x** with total cycles conserved to 0.05%, and wall time gets **1.80x WORSE**. The wall loss is transport -- `a` is copied so upload doubles, four dispatch streams share one 13 ms-per-access wire, and the meshes never overlap because `Program.kick` polls `PROG_STAT` before each kick. CYCLES is the silicon; WALL is today's cost. """ import argparse import time from dataclasses import replace import numpy as np from kohakuaccel.device import control_read from kohakuaccel.device.registers import CU_COUNTERS from kohakutpu.host import Card from kohakutpu.meshes import MeshGroup, Sharded from kohakutpu.ops import matmul MHZ = 100.09 WATCH = ("rounds", "sent", "fetched") def busy(mesh) -> int: """Total busy cycles over every cluster on this mesh.""" total = 0 for coord in mesh.coords("MG"): w = control_read(mesh.ctrl, coord, CU_COUNTERS) if w is not None: total += w & 0xFFFF_FFFF return total def timed(dev, label: str, work) -> tuple: """Call `work`, reporting its wall time, cycles and traffic. Returns `(result, wall, cycles)`. The counters are deltas: one device serves every call here, so `stats()` is cumulative. """ was = {k: dev.stats()[k] for k in WATCH} c0 = busy(dev.mesh) t0 = time.perf_counter() got = work() wall = time.perf_counter() - t0 cyc = (busy(dev.mesh) - c0) % (1 << 32) s = {k: dev.stats()[k] - was[k] for k in WATCH} print( f" {label}: {wall:5.2f} s wall | {cyc:,} cycles = {cyc / MHZ:,.0f} us" f" | {s['rounds']} rounds, {s['sent']:,} B up, {s['fetched']:,} B down" ) return got, wall, cyc def main() -> int: ap = argparse.ArgumentParser() ap.add_argument("--board", help="boards/.json; omit for the legacy scan") ap.add_argument("--port", type=int, help="reach the card through this daemon") ap.add_argument("--meshes", default="0123", help="which meshes, e.g. 02") ap.add_argument("--m", type=int, default=128) ap.add_argument("--k", type=int, default=256) ap.add_argument("--n", type=int, default=256) ap.add_argument("--gm", type=int, default=8) ap.add_argument("--gn", type=int, default=8) ap.add_argument("--nk", type=int, default=2) args = ap.parse_args() meshes = [int(c) for c in args.meshes] tiling = {"gm": args.gm, "gn": args.gn, "nk": args.nk} rng = np.random.default_rng(11) a = rng.normal(0, 0.02, (args.m, args.k)).astype(np.float16) b = rng.normal(0, 1.00, (args.n, args.k)).astype(np.float16) want = a.astype(np.float32) @ b.astype(np.float32).T peak = np.abs(want).max() if args.board: transport = None if args.port is not None: from kohakuaccel.daemon.client import DaemonTransport transport = DaemonTransport(port=args.port) card = Card.from_board(args.board, transport=transport, which=meshes) else: card = Card(which=meshes) group = MeshGroup.open(card, meshes) print(f"{card}\n{group}\n{args.m}x{args.k}x{args.n}, tiling {tiling}\n") print(f"SINGLE MESH (mesh_{meshes[0]})") head = group[0] y_one, w_one, c_one = timed( head, "whole", lambda: matmul(head.tensor(a), head.tensor(b), **tiling).numpy() ) print(f"\nCOLUMN-PARALLEL over {len(meshes)} meshes (b split along N)") x, w = group.copy(a), group.split(b, 0) plan = group.plan_matmul(x, w, **tiling) per = args.n // len(meshes) parts, walls, cycs = [], [], [] for step in plan.steps: dev = group[step.rank] got, wall, cyc = timed( dev, f"mesh_{dev.machine.default} cols {step.rank * per:4}+", lambda one=replace(plan, steps=(step,)): group.run(one)[0], ) parts.append(got) walls.append(wall) cycs.append(cyc) y_split = Sharded(group, plan.spec, parts, plan.shape).numpy() # p50/p99, never max: ~0.3% of elements are blown and ~0.6% flicker, and a # max reports those rather than the split. See nondeterminism.py. for label, got in (("single", y_one), ("split ", y_split)): e = np.abs(got - want) print( f" {label} vs fp32: p50 {np.median(e):.4e} " f"p99 {np.percentile(e, 99):.4e} (peak {peak:.4f})" ) d = np.abs(y_split - y_one) print( f" split vs single: identical {int((d == 0).sum()):,}/{d.size:,} " f"p99 {np.percentile(d, 99):.4e}" ) print(f"\nCOST at {args.m}x{args.k}x{args.n}") print(f" single mesh : {w_one:6.2f} s wall, {c_one:,} cycles") print(f" split, sum : {sum(walls):6.2f} s wall, {sum(cycs):,} cycles") print(f" slowest mesh: {max(cycs):,} cycles = {max(cycs) / MHZ:,.0f} us") print( f" -> wall {sum(walls) / w_one:.2f}x, compute {c_one / max(cycs):.2f}x " f"if the meshes ran at once (they do not; kicks serialise)" ) return 0 if __name__ == "__main__": raise SystemExit(main())