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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hop,label,size_bytes,path,total_ns
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),128,ipcq,31.1399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),128,ipcq,31.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),128,raw,12.019999999996799
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),256,ipcq,32.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),256,ipcq,33.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),256,raw,13.019999999996799
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),384,ipcq,34.1399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),384,ipcq,35.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),384,raw,14.019999999996799
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),512,ipcq,35.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),512,ipcq,37.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),512,raw,15.019999999996799
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),768,ipcq,38.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),768,ipcq,41.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),768,raw,17.0199999999968
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),1024,ipcq,41.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),1024,ipcq,45.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),1024,raw,19.0199999999968
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),2048,ipcq,53.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),2048,ipcq,61.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),2048,raw,27.0199999999968
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),4096,ipcq,77.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),4096,ipcq,93.6399999999976
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),4096,raw,43.0199999999968
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),8192,ipcq,125.64000000000306
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),8192,ipcq,157.64000000000306
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),8192,raw,75.02000000000407
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),10240,ipcq,149.64000000000306
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),10240,ipcq,189.64000000000306
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h1_intra_horizontal,Intra-cube horizontal (pe0 to pe1),10240,raw,91.02000000000407
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),128,ipcq,31.1399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),128,ipcq,31.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),128,raw,12.019999999996799
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),256,ipcq,32.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),256,ipcq,33.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),256,raw,13.019999999996799
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),384,ipcq,34.1399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),384,ipcq,35.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),384,raw,14.019999999996799
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),512,ipcq,35.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),512,ipcq,37.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),512,raw,15.019999999996799
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),768,ipcq,38.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),768,ipcq,41.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),768,raw,17.0199999999968
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),1024,ipcq,41.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),1024,ipcq,45.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),1024,raw,19.0199999999968
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),2048,ipcq,53.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),2048,ipcq,61.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),2048,raw,27.0199999999968
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),4096,ipcq,77.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),4096,ipcq,93.6399999999976
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),4096,raw,43.0199999999968
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),8192,ipcq,125.64000000000306
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),8192,ipcq,157.64000000000306
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),8192,raw,75.02000000000407
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),10240,ipcq,149.64000000000306
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),10240,ipcq,189.64000000000306
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h2_intra_vertical,Intra-cube vertical (pe0 to pe4),10240,raw,91.02000000000407
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),128,ipcq,67.15999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),128,ipcq,67.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),128,raw,68.53999999999724
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),256,ipcq,68.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),256,ipcq,69.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),256,raw,70.03999999999724
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),384,ipcq,70.15999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),384,ipcq,71.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),384,raw,71.53999999999724
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),512,ipcq,71.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),512,ipcq,73.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),512,raw,73.03999999999724
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),768,ipcq,74.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),768,ipcq,77.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),768,raw,76.03999999999724
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),1024,ipcq,77.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),1024,ipcq,81.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),1024,raw,79.03999999999724
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),2048,ipcq,89.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),2048,ipcq,97.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),2048,raw,91.03999999999724
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),4096,ipcq,113.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),4096,ipcq,129.65999999999804
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),4096,raw,115.03999999999724
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),8192,ipcq,161.65999999999985
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),8192,ipcq,193.65999999999985
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),8192,raw,163.04000000000087
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),10240,ipcq,185.65999999999985
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),10240,ipcq,225.65999999999985
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h3_inter_cube_horizontal,Inter-cube horizontal (cube0 to cube1),10240,raw,187.04000000000087
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),128,ipcq,87.15999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),128,ipcq,87.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),128,raw,88.53999999999724
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),256,ipcq,88.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),256,ipcq,89.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),256,raw,90.03999999999724
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),384,ipcq,90.15999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),384,ipcq,91.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),384,raw,91.53999999999724
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),512,ipcq,91.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),512,ipcq,93.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),512,raw,93.03999999999724
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),768,ipcq,94.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),768,ipcq,97.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),768,raw,96.03999999999724
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),1024,ipcq,97.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),1024,ipcq,101.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),1024,raw,99.03999999999724
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),2048,ipcq,109.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),2048,ipcq,117.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),2048,raw,111.03999999999724
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),4096,ipcq,133.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),4096,ipcq,149.65999999999804
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),4096,raw,135.03999999999724
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),8192,ipcq,181.65999999999985
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),8192,ipcq,213.65999999999985
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),8192,raw,183.04000000000087
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),10240,ipcq,205.65999999999985
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),10240,ipcq,245.65999999999985
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h4_inter_cube_vertical,Inter-cube vertical (cube0 to cube4),10240,raw,207.04000000000087
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