Intercube allreduce: center root + bidirectional reduce
Move the algorithmic root cube from the corner (cube_w-1, cube_h-1) to the geometric center (cube_w//2, cube_h//2) and have each phase converge bidirectionally so the intra-SIP critical path drops from ~12 hops to ~8 hops on a 4×4 mesh (left half W→E + right half E→W in row reduce; top half N→S + bottom half S→N in col reduce; mirrored on broadcast). Result on torus_2d 6 SIPs at 96 KB / PE on TCM: before (corner root) : 22.0 µs after (center root) : 17.2 µs (−22%) Same shape on ring_1d (−7%) and mesh_2d_no_wrap (−12%); also holds across SRAM and HBM (~−20% each). Phase 1 test (test_intercube_root_center.py) asserts the torus_2d 96 KB latency drops below 20.5 µs and that all 96 cubes still validate (correctness preserved). Plot updates: - overview.png: replace constant 10.6 µs theoretical line with user-supplied hand-derived curve (per-cube packet count = bytes_per_pe × 8 PEs ÷ 128 B; 1346 ns startup + 1.20 ns/pkt). - All summary.csv numbers and per-topology PNGs regenerated. - pe2pe_latency_plots and ipcq diagram emitter PNGs refreshed. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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"""Phase 1 test for moving the intercube_allreduce root cube from the
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bottom-right corner (3,3) to the geometric center (2,2).
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Today's algorithm (intercube_allreduce.py) hardcodes
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``root_cube = (cube_h-1) * cube_w + (cube_w-1)`` (= cube 15 in 4×4).
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The intra-SIP critical path for one allreduce is therefore::
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Phase 1 (row reduce W→E to col 3) : 3 hops
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Phase 2 (col reduce N→S to row 3 on col 3): 3 hops
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Phase 3 (inter-SIP at root) : (separate)
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Phase 4 (col broadcast S→N) : 3 hops
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Phase 5 (row broadcast E→W) : 3 hops
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Total intra-SIP critical path : 12 hops
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Moving the root to (2,2) and using BIDIRECTIONAL convergence (cols 0..2
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go W→E, col 3 goes E→W in parallel; rows 0..2 go N→S, row 3 goes S→N
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in parallel) cuts each phase's critical path from 3 hops to 2::
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Phase 1 critical path : max(2, 1) = 2 hops
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Phase 2 critical path : max(2, 1) = 2 hops
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Phase 4 critical path : 2 hops
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Phase 5 critical path : 2 hops
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Total intra-SIP critical path : 8 hops
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Per-hop cost at 96 KB on TCM ≈ 600 ns (slot IO write+read 384 ns +
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fabric drain ~217 ns). 4 fewer hops ⇒ ~2.4 µs reduction.
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EXPECTED Phase 1 outcome:
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- Today (root = corner) : ~22.0 µs ← test FAILS (> 20500 ns)
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- After Phase 2 (root = center) : ~19.6 µs ← test PASSES (< 20500 ns)
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"""
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from __future__ import annotations
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from pathlib import Path
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import pytest
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from kernbench.runtime_api.context import RuntimeContext
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from kernbench.runtime_api.types import DeviceSelector
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from kernbench.sim_engine.engine import GraphEngine
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from kernbench.topology.builder import resolve_topology
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from tests.test_allreduce_multidevice import (
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_write_temp_configs,
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run_allreduce,
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)
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def _run_torus_96kb(tmp_path: Path) -> float:
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"""Run torus_2d 6-SIP allreduce at 96 KB / slot, return critical-path
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pe_exec_ns. Fixed at TCM (the project default)."""
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sub = tmp_path / "torus_root_center"
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sub.mkdir()
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topo_path, ccl_path = _write_temp_configs(
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sub,
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sip_topology="torus_2d",
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n_sips=6,
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algorithm="intercube_allreduce",
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sip_w=3, sip_h=2,
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n_elem_override=49152, # 49152 × 2 = 96 KB / slot
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)
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topo = resolve_topology(topo_path)
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engine = GraphEngine(topo.topology_obj, enable_data=True)
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spec = topo.topology_obj.spec
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with RuntimeContext(
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engine=engine,
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target_device=DeviceSelector("all"),
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correlation_id="root_center_phase1",
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spec=spec,
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) as ctx:
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result = run_allreduce(
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ctx, engine, spec,
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algorithm="intercube_allreduce", ccl_yaml=ccl_path,
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)
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assert result["ok_cubes"] > 0
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pe_exec_vals = [
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float(tr.get("pe_exec_ns", 0.0) or 0.0)
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for _, (_, tr) in engine._results.items()
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if isinstance(tr, dict)
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]
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return max(pe_exec_vals) if pe_exec_vals else 0.0
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def test_intra_sip_critical_path_at_96k_below_threshold(tmp_path):
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"""Post-Phase-2 (root=center, bidirectional reduce) the torus_2d
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96 KB allreduce on TCM should drop below 20.5 µs.
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Today's value: ~22.0 µs (12-hop critical path with corner root).
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Expected post-Phase-2: ~19.6 µs (8-hop critical path with
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center root) — model estimate, ~11% reduction end-to-end.
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"""
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lat_ns = _run_torus_96kb(tmp_path)
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THRESHOLD_NS = 20_500.0
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assert lat_ns < THRESHOLD_NS, (
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f"torus_2d 6-SIP 96 KB allreduce should land below "
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f"{THRESHOLD_NS:.0f} ns post-Phase-2 (root=center, "
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f"bidirectional reduce). got {lat_ns:.1f} ns "
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f"({lat_ns / 1000:.2f} µs)"
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)
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def test_correctness_preserved(tmp_path):
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"""Smoke check: at small n_elem the new algorithm must still produce
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the correct sum across all 96 cubes. ``run_allreduce`` validates
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every cube against the expected reduce result (``ok_cubes`` must be
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96 = 6 SIPs × 16 cubes).
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This guards against the obvious Phase 2 risk: bidirectional reduce
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sums each contribution exactly once. If implemented wrong (double-
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counting or skipping the right edge column / bottom row), the
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asserts inside run_allreduce fail.
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"""
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sub = tmp_path / "correctness"
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sub.mkdir()
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topo_path, ccl_path = _write_temp_configs(
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sub,
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sip_topology="torus_2d",
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n_sips=6,
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algorithm="intercube_allreduce",
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sip_w=3, sip_h=2,
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n_elem_override=128, # tiny payload to keep this fast
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)
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topo = resolve_topology(topo_path)
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engine = GraphEngine(topo.topology_obj, enable_data=True)
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spec = topo.topology_obj.spec
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with RuntimeContext(
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engine=engine,
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target_device=DeviceSelector("all"),
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correlation_id="root_center_correctness",
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spec=spec,
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) as ctx:
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result = run_allreduce(
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ctx, engine, spec,
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algorithm="intercube_allreduce", ccl_yaml=ccl_path,
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)
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n_cubes = 6 * 16 # 6 SIPs × 16 cubes/SIP
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assert result["ok_cubes"] == n_cubes, (
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f"all 96 cubes must validate; got {result['ok_cubes']} OK"
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)
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