From e8b7f4f064aebfd45bc3146e02e2cfaa3e72b3b9 Mon Sep 17 00:00:00 2001 From: Yangwook Kang Date: Wed, 17 Jun 2026 10:24:42 -0700 Subject: [PATCH] paper(gemm): per-PE HBM BW + TFLOPS evaluation plots; unify peak to 8 TFLOP/s MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Two new evaluation plots for §3 GEMM, both using the composite window as the denominator (the up-front tl.load of A in load_ref is therefore excluded — only HBM traffic and compute inside the composite count): - gemm_hbm_bw_util.png: per-PE HBM bandwidth utilization against the 256 GB/s per-PE ceiling. Answers "is this workload memory-bound on this configuration?" — small/single-tile shapes sit at 22–46% (pipeline-fill-limited), large or output-write-dominated shapes saturate (≥85%). - gemm_per_pe_tflops.png: per-PE GEMM throughput against the 8 TFLOP/s engine peak. The deep-K K=3072 load_ref case lands at 7.18 TFLOP/s (~90% of peak) — the configuration's clean win. ref_ref at the same shape drops to 3.83 TFLOP/s because the second operand doubles HBM pressure and the kernel hits the BW ceiling. The variant gap on this chart is the operational cost of NOT pre-staging the activation. Both charts compare two operand-staging variants on every shape: load_ref ("activation pre-staged", weight-only HBM streaming) and ref_ref (both A and W streamed from HBM). load_load is omitted — with both operands pre-staged the composite carries no HBM traffic and the BW metric collapses to 0. Analytic / measured peak unified to the single hardware spec (8.0 TFLOP/s = 8000 flops/ns). T_STAGE is now derived as tile_flops / peak (= 16.384 ns for the 32×64×32 tile) rather than the previous hardcoded 16 ns, so MAC efficiency and per-PE TFLOPS% share the same denominator and never disagree. Side effect: max analytic-vs-measured gap tightens from 2.2 ppt to 1.4 ppt across the sweep. §3 Results restructured: lead with the two new evaluation plots (BW saturation, achieved throughput), then the MAC-utilization analytic-vs-measured chart serves as the validation step, then the per-stage engine wall-clock as the supporting diagnostic. §3 Analysis updated to use the load_ref / ref_ref contrast as the hardware-software boundary line that motivates the GQA kernel of §5. §2.4 Accuracy claim updated to match: GEMM analytic-vs-measured agreement is now "within 1.4 ppt across every swept shape", from ~7.7% at single-tile up to ~90% at K=3072. Subtitle/title vertical stacking glitch in the matplotlib charts fixed in passing. Co-Authored-By: Claude Opus 4.7 (1M context) --- docs/report/1H-codesign-paper/build/main.pdf | Bin 1129214 -> 1224588 bytes .../figures/gemm_hbm_bw_util.png | Bin 0 -> 48307 bytes .../figures/gemm_mac_utilization_measured.png | Bin 40636 -> 41094 bytes ...ac_utilization_theoretical_vs_measured.png | Bin 46666 -> 47535 bytes .../figures/gemm_per_pe_tflops.png | Bin 0 -> 43412 bytes .../figures/gemm_stage_breakdown.png | Bin 46041 -> 46681 bytes .../sections/02-platform.tex | 6 +- .../1H-codesign-paper/sections/03-gemm.tex | 133 +- .../gemm/gemm_hbm_bw_util.png | Bin 0 -> 48307 bytes .../gemm/gemm_mac_utilization_measured.png | Bin 40644 -> 41094 bytes ...ac_utilization_theoretical_vs_measured.png | Bin 46309 -> 47535 bytes .../gemm/gemm_per_pe_tflops.png | Bin 0 -> 43412 bytes .../gemm/gemm_stage_breakdown.png | Bin 46585 -> 46681 bytes .../1H_milestone_output/gemm/gemm_sweep.json | 1934 ++++++++--------- src/kernbench/benches/milestone_1h_gemm.py | 245 ++- 15 files changed, 1305 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