From 694e0cc9b91f4f73da585d3a0adf0abfbcdeb524 Mon Sep 17 00:00:00 2001 From: Mukesh Garg Date: Tue, 16 Jun 2026 16:10:49 -0700 Subject: [PATCH] paper(gqa): add 6-case per-PE memory + comm summary chart Analytical plot generator + PNG covering the 4 sharding cases from slide 17 plus the 2 d_head-TP variants (Cases 4, 5). Three panels: per-PE HBM budget breakdown (Wq + Wk + Wv + Wo + 4.24 GB KV headroom), per-PE KV memory at S_kv=1M, and per-PE communication per output token (decode). Numbers match slide 17 (max KV context ~7.1M for the 64-way sharded cases). Co-Authored-By: Claude Opus 4.7 --- .../paper/paper_plot_gqa_4cases_summary.py | 499 ++++++++++++++++++ .../gqa/long_ctx/gqa_4cases_summary.png | Bin 0 -> 215507 bytes 2 files changed, 499 insertions(+) create mode 100644 scripts/paper/paper_plot_gqa_4cases_summary.py create mode 100644 src/kernbench/benches/1H_milestone_output/gqa/long_ctx/gqa_4cases_summary.png diff --git a/scripts/paper/paper_plot_gqa_4cases_summary.py b/scripts/paper/paper_plot_gqa_4cases_summary.py new file mode 100644 index 0000000..8b7f81b --- /dev/null +++ b/scripts/paper/paper_plot_gqa_4cases_summary.py @@ -0,0 +1,499 @@ +"""GQA 4-cases (+ 2 d_head-TP variants) — combined memory + comm summary. + +Single PNG with two panels side-by-side: + (left) Per-PE KV memory at S_kv = 1 M tokens (across 80 layers). + (right) Per-PE communication per output token at S_kv = 1 M (decode). + +================================================================ +SYSTEM INPUTS (LLaMA-3.1-70B single-KV-head group) +================================================================ + N_layers = 80 (transformer layers per token) + h_kv = 1 (per KV group) + h_q = 8 (query heads per KV group) + d_head = 128 + d_model = 8192 (LLaMA-3.1-70B hidden dim — for Wo / FFN AR) + bytes = 2 (FP16) + C = 8 cubes per KV group P = 8 PEs per cube + HBM_per_PE = 6.0 GB + Attn weights = 1.76 GB → KV headroom = 4.24 GB / PE + B = 1 user S_q = 1 token (decode) + +================================================================ +(1) PER-PE KV MEMORY (left panel) +================================================================ + +KV bytes per token across all 80 layers, single KV group: + KV/tok = 2 (K+V) · h_kv · d_head · bytes · N_layers + = 2 · 1 · 128 · 2 · 80 + = 40 KB / token + +Per-PE share = KV/tok ÷ divisor, where divisor depends on the K/V +tensor placement (NOT on the compute-side label): + + Case 1 Cube-SP × PE-replicate divisor = C = 8 + Case 1' Cube-SP × PE-TP (on d_head) divisor = C·P = 64 + Case 2 Cube-Repl × PE-replicate divisor = 1 = 1 + Case 3 Cube-Repl × PE-SP divisor = P = 8 + Case 3' Cube-TP × PE-SP divisor = C·P = 64 + Case 4 Cube-SP × PE-SP ★ divisor = C·P = 64 + +Per-PE bytes @ S_kv = 1 M = KV/tok · 1 M / divisor: + Case 1 → 5.0 GB ✗ (exceeds 4.24 GB headroom) + Case 1' → 640 MB ✓ + Case 2 → 40.0 GB ✗ + Case 3 → 5.0 GB ✗ + Case 3' → 640 MB ✓ + Case 4 → 640 MB ✓ + +Max KV context per PE = 4.24 GB · 1024² / (KV/tok ÷ divisor): + Case 1, 3 : 889 K tokens + Case 1', 3', 4 : 7.11 M tokens ✓ + Case 2 : 111 K tokens + +================================================================ +(2) PER-PE COMMUNICATION (right panel) +================================================================ + +(A) WEIGHT AllReduces (constant across all cases) + Wo AR ≈ 8 KB / layer / PE (Wq replicated → AR partial Y) + FFN AR ≈ 8 KB / layer / PE + × 80 layers = 1.25 MB / token / PE (the bottom blue stack on every bar) + +(B) ATTENTION-TIME collective (the differentiator) + + Cases that compute partial attention locally (PE-SP / PE-repl): + Q is replicated and each rank attends to its own complete KV slice + (full d_head) → only the small (m, ℓ, O) triple needs AllReducing. + Payload (h_q · S_q · d_head · 2) ≈ 4 KB per AR step, hierarchical ≈ 32 KB / layer. + CONSTANT in S_kv. + + Case 1 : inter-cube AR on (m,ℓ,O) → ~32 KB / layer + Case 2 : nothing → 0 + Case 3 : intra-cube AR on (m,ℓ,O) → ~32 KB / layer + Case 4 ★ : intra + inter-cube AR on (m,ℓ,O) → ~64 KB / layer + + d_head-TP variants (1', 3'): + Each rank holds only d_head/divisor dims → Q·K^T produces only + partial sums → must AR PARTIAL SCORES before softmax. The score + tile per AR is (h_q · S_q · S_kv / slices_for_seq) · 2 bytes, + which SCALES with S_kv. + + Case 1' : intra-cube partial-score AR + payload = h_q · S_q · (S_kv/C) · 2 = 2 MB / layer at 1 M + Case 3' : inter-cube partial-score AR (UCIe, slower than NoC) + payload = h_q · S_q · (S_kv/P) · 2 = 2 MB / layer at 1 M + + Plus tiny (m,ℓ,O) AR for both 1' and 3' to combine partial attentions + across the remaining axis (~32 KB / layer). + +(C) Total per output token per PE (sum over 80 layers, S_kv = 1 M): + Case 1 ≈ 4 MB (1.25 MB Wo+FFN + 2.5 MB inter-cube AR) + Case 1' ≈ 166 MB (1.25 MB + 160 MB partial-score AR + ~5 MB other) + Case 2 ≈ 1.2 MB (Wo+FFN only) + Case 3 ≈ 4 MB (1.25 MB + 2.5 MB intra-cube AR) + Case 3' ≈ 166 MB (1.25 MB + 160 MB partial-score AR + ~5 MB other) + Case 4 ★ ≈ 6 MB (1.25 MB + 5 MB 2-phase AR) + +================================================================ +KEY TAKEAWAYS +================================================================ + - Memory winners (640 MB / PE @ 1M): Cases 1', 3', 4 (any 64-way sharding). + - Comm winner among those three: Case 4 (6 MB). Cases 1' and 3' both + pay ~160 MB because the d_head-sharded variant ARs a 2 MB partial- + score tile every layer — the score tensor scales with S_kv while + the (m, ℓ, O) triple does not. + - Cases 1 and 3 (8-way sharding) don't fit 1M context (5 GB vs 4.24 GB + headroom). + - Case 2 has the cheapest comm but the most memory (40 GB / PE). + - Case 4 ★ is the Pareto-best: fits 1M context AND lowest comm + among memory-feasible options. + +Output PNG: + src/kernbench/benches/1H_milestone_output/gqa/long_ctx/ + gqa_4cases_summary.png +""" +from __future__ import annotations + +from pathlib import Path + +import matplotlib.patches as mpatches +import matplotlib.pyplot as plt + +# ── System constants (LLaMA-3.1-70B single-KV-head group, decode) ─── +_N_LAYERS = 80 +_H_KV = 1 +_H_Q = 8 +_D_HEAD = 128 +_D_MODEL = 8192 +_BYTES_PER_ELEM = 2 # FP16 +_C = 8 # cubes per KV group +_P = 8 # PEs per cube +_B = 1 +_S_Q = 1 # decode +_HBM_PER_PE_GB = 6.0 +_WEIGHTS_PER_PE_GB = 1.76 +_HEADROOM_GB = _HBM_PER_PE_GB - _WEIGHTS_PER_PE_GB # 4.24 GB + +_HEADLINE_S_KV = 1 << 20 # 1 Mi tokens + +# Per-token KV bytes (single KV group, all 80 layers). +_KV_PER_TOK_BYTES = ( + 2 * _H_KV * _D_HEAD * _BYTES_PER_ELEM * _N_LAYERS +) # 40 KB + +# Per-token Wo + FFN AR (constant across cases). +_WO_PER_LAYER_BYTES = 8 * 1024 +_FFN_PER_LAYER_BYTES = 8 * 1024 + +# ── Per-PE attention weight breakdown (single KV-head group) ──────── +# +# LLaMA-3.1-70B single-KV-head group dimensions: +# d_model = 8192 +# h_q per group = 8 (8 query heads attend to 1 KV head per group) +# h_kv per group = 1 +# d_head = 128 +# FP16 (2 bytes) +# +# Per layer, per PE: +# Wq shape (d_model, h_q · d_head) REPLICATED across all 64 PEs of group +# = 8192 · 8·128 · 2 bytes = 16 MB / layer / PE +# Wk shape (d_model, h_kv · d_head) REPLICATED +# = 8192 · 1·128 · 2 bytes = 2 MB / layer / PE +# Wv shape (d_model, h_kv · d_head) REPLICATED +# = 8192 · 1·128 · 2 bytes = 2 MB / layer / PE +# Wo shape (h_q · d_head, d_model) ROW-SPLIT across C=8 cubes, +# replicated within cube +# = (1024/C) · 8192 · 2 bytes = 2 MB / layer / PE +# ──────────────────────────────────────────────────────────────── +# total attn weights / layer / PE = 22 MB +# × 80 layers = 1.76 GB / PE (decimal GB) +# +# KV headroom per PE = HBM_PER_PE - weights = 6.0 - 1.76 = 4.24 GB. +# (FFN weights are accounted for in a separate budget, not in this 4.24 GB.) + +# Slide-17 convention: per-layer values in binary MB (MiB), totals in +# "GB" formed by ×80 layers ÷ 1000 — giving the canonical 1.76 GB total +# and 4.24 GB headroom that the slide-17 chart reports. +_WQ_MB_PER_LAYER = (_D_MODEL * _H_Q * _D_HEAD * _BYTES_PER_ELEM) / (1024 ** 2) # 16 +_WK_MB_PER_LAYER = (_D_MODEL * _H_KV * _D_HEAD * _BYTES_PER_ELEM) / (1024 ** 2) # 2 +_WV_MB_PER_LAYER = (_D_MODEL * _H_KV * _D_HEAD * _BYTES_PER_ELEM) / (1024 ** 2) # 2 +_WO_MB_PER_LAYER = ((_H_Q * _D_HEAD) // _C * _D_MODEL + * _BYTES_PER_ELEM) / (1024 ** 2) # 2 + +_WQ_GB = _WQ_MB_PER_LAYER * _N_LAYERS / 1000 # 1.28 GB +_WK_GB = _WK_MB_PER_LAYER * _N_LAYERS / 1000 # 0.16 GB +_WV_GB = _WV_MB_PER_LAYER * _N_LAYERS / 1000 # 0.16 GB +_WO_GB = _WO_MB_PER_LAYER * _N_LAYERS / 1000 # 0.16 GB +_WEIGHTS_GB = _WQ_GB + _WK_GB + _WV_GB + _WO_GB # 1.76 GB + +# (m, ℓ, O) AR payload — used by Cases 1, 3, 4 (different axes per case). +_MLO_INTRA_BYTES_PER_LAYER = 32 * 1024 # ~32 KB intra-cube AR +_MLO_INTER_BYTES_PER_LAYER = 32 * 1024 # ~32 KB inter-cube AR + +# Cases — renumbered in MEMORY-DESCENDING ORDER (left to right): +# Case 1 (40 GB) : no sharding +# Cases 2, 3 ( 5 GB) : single-axis sharding (cube OR PE only) +# Cases 4, 5, 6 (640 MB) : two-axis sharding (cube AND PE) +# — Case 6 ★ is the Pareto-best (lowest comm) +_CASES = (1, 2, 3, 4, 5, 6) + +_DIVISOR = { + 1: 1, # Cube-Repl × PE-replicate — no sharding + 2: _C, # Cube-SP × PE-replicate — cube-axis only + 3: _P, # Cube-Repl × PE-SP — PE-axis (S_kv) only + 4: _C * _P, # Cube-SP × PE-TP (d_head) — 64-way (d_head intra) + 5: _C * _P, # Cube-TP × PE-SP — 64-way (d_head inter) + 6: _C * _P, # Cube-SP × PE-SP — 64-way (S_kv both axes) ★ +} + +_CASE_LABEL = { + 1: "Case 1\nCube-Repl\nPE-repl", + 2: "Case 2\nCube-SP\nPE-repl", + 3: "Case 3\nCube-Repl\nPE-SP", + 4: "Case 4\nCube-SP\nPE-TP", + 5: "Case 5\nCube-TP\nPE-SP", + 6: "Case 6 ★\nCube-SP\nPE-SP", +} +_CASE_COLOR = { + 1: "#C0504D", # red — worst memory (no sharding) + 2: "#E0834A", # orange — single-axis sharded (cube) + 3: "#EBA854", # tan — single-axis sharded (PE) + 4: "#A6C2E0", # light blue — d_head-TP 64-way (PE) + 5: "#C7D8A0", # light green — d_head-TP 64-way (cube) + 6: "#8064A2", # purple — Pareto winner ★ (S_kv 64-way) +} +_ATTN_DESC = { + 1: "none", + 2: "online-softmax\nmerge of\n(m,ℓ,O)\ninter-cube", + 3: "online-softmax\nmerge of\n(m,ℓ,O)\nintra-cube", + 4: "partial\nscores\n+ (m,ℓ,O)\nmerge\n(d_head-TP)", + 5: "partial\nscores\n+ (m,ℓ,O)\nmerge\n(d_head-TP)", + 6: "online-softmax\nmerge of\n(m,ℓ,O)\nintra + inter", +} + +_WO_COLOR = "#9EC5E8" +_FFN_COLOR = "#4A78B8" +_ATTN_COLOR = "#E07A3F" + +_OUT_DIR = ( + Path(__file__).resolve().parents[2] + / "src" / "kernbench" / "benches" + / "1H_milestone_output" / "gqa" / "long_ctx" +) + + +# ── Formulae ──────────────────────────────────────────────────────── + + +def kv_per_pe_bytes(case, s_kv: int) -> int: + """Per-PE KV bytes at the given S_kv.""" + return _KV_PER_TOK_BYTES * s_kv // _DIVISOR[case] + + +def max_s_kv(case) -> int: + """Max KV context per PE given the 4.24 GB headroom.""" + headroom_bytes = int(_HEADROOM_GB * (1 << 30)) + bytes_per_tok = _KV_PER_TOK_BYTES // _DIVISOR[case] + return headroom_bytes // bytes_per_tok + + +def _partial_score_bytes_per_layer(s_kv: int, slices_for_seq: int) -> int: + """AR payload for partial scores in d_head-TP cases.""" + return _H_Q * _S_Q * (s_kv // slices_for_seq) * _BYTES_PER_ELEM + + +def attn_comm_per_layer_bytes(case: int, s_kv: int) -> int: + """Per-layer per-PE attention-time comm bytes (decode, B=1, S_q=1). + + Case numbering follows the memory-descending order defined in + _CASES (1=no sharding, 6=Pareto winner). + """ + if case == 1: # Cube-Repl × PE-repl — no sharding + return 0 + if case == 2: # Cube-SP × PE-repl — inter-cube AR on (m,ℓ,O) + return _MLO_INTER_BYTES_PER_LAYER + if case == 3: # Cube-Repl × PE-SP — intra-cube AR on (m,ℓ,O) + return _MLO_INTRA_BYTES_PER_LAYER + if case == 4: # Cube-SP × PE-TP(d_head) — partial-score AR + return (_partial_score_bytes_per_layer(s_kv, _C) + + _MLO_INTRA_BYTES_PER_LAYER + + _MLO_INTER_BYTES_PER_LAYER) + if case == 5: # Cube-TP(d_head) × PE-SP — partial-score AR + return (_partial_score_bytes_per_layer(s_kv, _P) + + _MLO_INTRA_BYTES_PER_LAYER + + _MLO_INTER_BYTES_PER_LAYER) + if case == 6: # Cube-SP × PE-SP — 2-phase (m,ℓ,O) AR ★ + return _MLO_INTRA_BYTES_PER_LAYER + _MLO_INTER_BYTES_PER_LAYER + raise ValueError(f"unknown case {case}") + + +def per_token_bytes(case, s_kv: int) -> tuple[int, int, int]: + """(Wo AR, FFN AR, Attn) bytes per output token per PE — × 80 layers.""" + wo = _WO_PER_LAYER_BYTES * _N_LAYERS + ffn = _FFN_PER_LAYER_BYTES * _N_LAYERS + attn = attn_comm_per_layer_bytes(case, s_kv) * _N_LAYERS + return wo, ffn, attn + + +# ── Formatters ────────────────────────────────────────────────────── + + +def _fmt_bytes(b: float) -> str: + if b >= (1 << 30): + return f"{b / (1 << 30):.2f} GB" + if b >= (1 << 20): + return f"{b / (1 << 20):.1f} MB" + if b >= (1 << 10): + return f"{b / (1 << 10):.0f} KB" + return f"{b:.0f} B" + + +def _fmt_tokens(n: int) -> str: + if n >= 1_000_000: + return f"{n / 1_000_000:.2f} M" + if n >= 1_000: + return f"{n / 1_000:.0f} K" + return f"{n}" + + +# ── Panels ────────────────────────────────────────────────────────── + + +def _plot_budget(ax) -> None: + """HBM budget per PE — stacked weights + KV headroom + HBM ceiling. + + Wq is the dominant weight slice (~1.28 GB). Wk, Wv, Wo are each + small (~0.16 GB) so their slice labels would overlap on the bar — + they're shown in the legend only, and only Wq + KV-headroom get + on-bar annotations. + """ + components = [ + ("Wq (REPL)", _WQ_GB, "#7B9CC4"), + ("Wk (REPL)", _WK_GB, "#A0BBD8"), + ("Wv (REPL)", _WV_GB, "#C5D6E8"), + ("Wo (cube-split)", _WO_GB, "#E2EAF3"), + ("KV cache headroom", + _HBM_PER_PE_GB - _WEIGHTS_GB, "#9BBB59"), + ] + bottom = 0.0 + for label, val, color in components: + ax.bar(0, val, bottom=bottom, color=color, edgecolor="black", + width=0.7, label=f"{label} · {val:.2f} GB") + # Only annotate slices thick enough to fit text without overlap. + if val >= 0.50: + ax.text(0, bottom + val / 2, f"{label}\n{val:.2f} GB", + ha="center", va="center", fontsize=9, weight="bold") + bottom += val + ax.axhline(_HBM_PER_PE_GB, color="red", ls="--", lw=1.4, + label=f"HBM = {_HBM_PER_PE_GB} GB") + ax.set_xticks([0]) + ax.set_xticklabels(["per-PE HBM"], fontsize=10) + ax.set_ylabel("GB per PE") + ax.set_ylim(0, _HBM_PER_PE_GB * 1.10) + ax.set_title( + f"Per-PE HBM budget\n" + f"weights {_WEIGHTS_GB:.2f} GB + KV = {_HBM_PER_PE_GB} GB", + fontsize=10, + ) + ax.grid(axis="y", ls=":", alpha=0.5) + ax.legend(loc="upper right", fontsize=7.5, framealpha=0.92) + + +def _plot_memory(ax) -> None: + vals_gb = [kv_per_pe_bytes(c, _HEADLINE_S_KV) / (1 << 30) for c in _CASES] + labels = [_CASE_LABEL[c] for c in _CASES] + colors = [_CASE_COLOR[c] for c in _CASES] + x = list(range(len(_CASES))) + bars = ax.bar(x, vals_gb, color=colors, width=0.65) + ax.set_xticks(x) + ax.set_xticklabels(labels, fontsize=9) + ax.set_ylabel("KV bytes per PE (GB, log)") + ax.set_yscale("log") + ax.set_title( + f"Per-PE KV memory at S_kv = {_HEADLINE_S_KV:,} tokens " + f"(across {_N_LAYERS} layers, FP16)", + fontsize=11, + ) + ax.grid(axis="y", ls=":", alpha=0.5, which="both") + ax.axhline(_HEADROOM_GB, color="red", ls="--", lw=1.4, + label=f"KV headroom = {_HEADROOM_GB} GB / PE") + for bar, v_gb in zip(bars, vals_gb): + v_bytes = v_gb * (1 << 30) + fits = v_gb <= _HEADROOM_GB + ax.text(bar.get_x() + bar.get_width() / 2, + v_gb * 1.10, + _fmt_bytes(v_bytes) + (" ✓" if fits else " ✗"), + ha="center", va="bottom", fontsize=9, + color="green" if fits else "red", weight="bold") + ax.legend(loc="upper right", fontsize=9) + + +def _plot_comm(ax) -> None: + wo_mb = [] + ffn_mb = [] + attn_mb = [] + for c in _CASES: + wo, ffn, attn = per_token_bytes(c, _HEADLINE_S_KV) + wo_mb.append(wo / (1 << 20)) + ffn_mb.append(ffn / (1 << 20)) + attn_mb.append(attn / (1 << 20)) + + labels = [_CASE_LABEL[c] for c in _CASES] + x = list(range(len(_CASES))) + + ax.bar(x, wo_mb, color=_WO_COLOR, edgecolor="black") + ax.bar(x, ffn_mb, bottom=wo_mb, color=_FFN_COLOR, edgecolor="black") + bottoms_attn = [w + f for w, f in zip(wo_mb, ffn_mb)] + ax.bar(x, attn_mb, bottom=bottoms_attn, + color=_ATTN_COLOR, edgecolor="black") + + ax.set_xticks(x) + ax.set_xticklabels(labels, fontsize=9) + ax.set_ylabel("Comm per token per PE (MB, log)") + ax.set_yscale("log") + ax.set_title( + f"Per-PE communication at S_kv = {_HEADLINE_S_KV:,} tokens " + f"(decode S_q=1, B=1; {_N_LAYERS} layers)", + fontsize=11, + ) + ax.grid(axis="y", ls=":", alpha=0.5, which="both") + + totals = [wo_mb[i] + ffn_mb[i] + attn_mb[i] for i in range(len(_CASES))] + ax.set_ylim(top=max(totals) * 10) + + for i, c in enumerate(_CASES): + total_bytes = (wo_mb[i] + ffn_mb[i] + attn_mb[i]) * (1 << 20) + ax.text(x[i], totals[i] * 1.5, _fmt_bytes(total_bytes), + ha="center", fontsize=9, weight="bold") + if attn_mb[i] > 0: + mid = bottoms_attn[i] + attn_mb[i] / 2 + ax.text(x[i], mid, _ATTN_DESC[c], + ha="center", va="center", fontsize=7, + color="black", weight="bold") + else: + ax.text(x[i], totals[i] * 0.4, _ATTN_DESC[c], + ha="center", fontsize=7.5, color="grey", style="italic") + + legend_handles = [ + mpatches.Patch(facecolor=_WO_COLOR, edgecolor="black", + label=f"Wo AR (× {_N_LAYERS} layers)"), + mpatches.Patch(facecolor=_FFN_COLOR, edgecolor="black", + label=f"FFN AR (× {_N_LAYERS} layers)"), + mpatches.Patch(facecolor=_ATTN_COLOR, edgecolor="black", + label="Attn-time collective"), + ] + ax.legend(handles=legend_handles, loc="upper right", fontsize=8, + framealpha=0.92) + + +def main() -> Path: + _OUT_DIR.mkdir(parents=True, exist_ok=True) + fig = plt.figure(figsize=(21.0, 6.0)) + gs = fig.add_gridspec(1, 3, width_ratios=[0.7, 1.6, 1.6], wspace=0.22) + ax_b = fig.add_subplot(gs[0, 0]) + ax_m = fig.add_subplot(gs[0, 1]) + ax_c = fig.add_subplot(gs[0, 2]) + _plot_budget(ax_b) + _plot_memory(ax_m) + _plot_comm(ax_c) + + fig.suptitle( + f"GQA per-PE memory + communication — LLaMA-3.1-70B " + f"single-KV-head group (C={_C}, P={_P}, {_N_LAYERS} layers, " + f"S_kv = 1 M, FP16)", + fontsize=12, y=0.985, + ) + fig.text( + 0.5, 0.94, + "Cases ordered by memory · Case 1 (40 GB, no sharding) → " + "Cases 2-3 (5 GB, 1-axis sharded) → Cases 4-6 (640 MB, 2-axis sharded) " + "· Case 6 ★ = lowest comm among memory-feasible cases", + ha="center", fontsize=9.5, color="#444", + ) + fig.tight_layout(rect=(0, 0, 1, 0.92)) + out = _OUT_DIR / "gqa_4cases_summary.png" + fig.savefig(out, dpi=150) + plt.close(fig) + print(f"wrote {out}") + + # Paper-ready table to stdout. + print() + print(f" {'Case':<27} {'KV/tok·PE':>12} {'KV @ 1M':>11} " + f"{'Max S_kv':>11} {'Comm @ 1M':>12}") + print(" " + "-" * 80) + for c in _CASES: + kv_per_tok_pe = _KV_PER_TOK_BYTES / _DIVISOR[c] + mem_1m = kv_per_pe_bytes(c, _HEADLINE_S_KV) + max_s = max_s_kv(c) + comm_1m = sum(per_token_bytes(c, _HEADLINE_S_KV)) + label = _CASE_LABEL[c].replace(chr(10), " ") + print(f" {label:<27} " + f"{kv_per_tok_pe / 1024:>9.3f} KB " + f"{_fmt_bytes(mem_1m):>11} " + f"{_fmt_tokens(max_s):>11} " + f"{_fmt_bytes(comm_1m):>12}") + return out + + +if __name__ == "__main__": + main() diff --git a/src/kernbench/benches/1H_milestone_output/gqa/long_ctx/gqa_4cases_summary.png b/src/kernbench/benches/1H_milestone_output/gqa/long_ctx/gqa_4cases_summary.png new 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