From c94b2e237aee7c50aaf377ca44c64aba9d64a7af Mon Sep 17 00:00:00 2001 From: Gahow Wang Date: Thu, 28 May 2026 16:24:15 +0800 Subject: [PATCH] Working-set figure: linear node axes + benefit/cost split Drop log node axis (decade ticks were unreadable). Left = APC vs #nodes (linear), right = #nodes vs retention window T. Mark the 1-node budget crossing (~7s reuse, ~8% APC) and the 14-node oracle ceiling. Co-Authored-By: Claude Opus 4.7 --- figs/working_set/glm5_fp8_tp8_b300.png | Bin 153869 -> 169337 bytes scripts/working_set_analysis.py | 96 +++++++++++++++---------- 2 files changed, 60 insertions(+), 36 deletions(-) diff --git a/figs/working_set/glm5_fp8_tp8_b300.png b/figs/working_set/glm5_fp8_tp8_b300.png index dc2ca76dfce65de0371da3b35660dd2832591f68..92edd2f466249b90f21bdaffbdceda8bb6bc5a76 100644 GIT binary patch literal 169337 zcmdSBhdbB%|36-*b6S!V5usEvDd?eh4n367wBNJm#18SFy$8YtpX}MYXOFDp z4K?TZnXit{R2rN7zuZP<&mKN>{NU`dfv<-@aJ`hVJ?wo_i}enx3Tx`E!&GdFwoX>< z!&F>U7k`)aqg0w*4XF^WX3%W1KKRRByoXOCk7v9&J|;oX%{cgJKuiqY_W%87_ldds z#Q*yP{C}ovY9jmo*U$cvy)%F0fBj?+%Z*x||NWEb->KXF_fP&j{{QC-z2AL1QXdi~ zmwG(y+qZA-^77i+r(IlK51Xye*E210VH+^zZ!Av-F6<0>?S9RgX1Zn>{dV^F1-U!M z#%Y>8ms1Cmwl>J!l04=4Dsv~V7Vk!EyVEd=xw8sIvPZC2hb^_&tdo^`+h44otKPjN zbaZ*Tr)}>1-aT7w616<;1y`?Lod^-%d7&h}9o`tuCNVfTXlP}n5F8v#MN2E=INhE4 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zP({B=(iE8?JR4OE1O)6_)YE8RmHJ~4y3HGS3lLZCT~t(r_RlLPCkFu_k5JoLT@3W= z6+n=Lg8#x5azO%xDA_RF@)~eiv$T_VT)7_=Lpb0CdB4kOPf}2DaD219;f{kmSfh!F ziTQ2*f9t~)C%8lc73x}4@xQg%=sX29y$>-b+}k6RHqfB&Apy8-$Sm-mA{apqrtL4Rlc zf9byYtHvbn{ZG~V-xuj#=7)pm|NSL0|No64=>OA8nwYDsF>yX^|8iaiUn)EHDBe~u Hy70dM3Rdf* diff --git a/scripts/working_set_analysis.py b/scripts/working_set_analysis.py index 5cc43ad..d1d46ad 100644 --- a/scripts/working_set_analysis.py +++ b/scripts/working_set_analysis.py @@ -156,48 +156,72 @@ def plot(ws, hw, block_bytes, label, out_path): bgb = block_bytes / GB pool = hw["kv_pool_gb"] # KV pool per node (= per replica) gpr = hw["gpus_per_replica"] - node_lbl = f"1 node = {gpr}x {hw['gpu']} = {pool:.0f} GB KV" - - # everything in node units: nodes = footprint_GB / pool - peak_nodes = np.array([r["peak_blocks"] * bgb / pool for r in ws["taus"]]) - apc = np.array([r["apc"] * 100 for r in ws["taus"]]) - oracle_nodes = ws["oracle_peak_blocks"] * bgb / pool ceil = ws["apc_ceiling"] * 100 + oracle_nodes = ws["oracle_peak_blocks"] * bgb / pool + + # operating points up to the ceiling: beyond oracle, TTL is strictly worse, so drop. + rows = [r for r in ws["taus"] if r["tau"] <= 300] + nodes = np.array([r["peak_blocks"] * bgb / pool for r in rows]) + apc = np.array([r["apc"] * 100 for r in rows]) + tau = np.array([r["tau"] for r in rows]) + XMAX = 16 fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 6)) - # --- panel 1: APC vs nodes of HBM needed --- - ax1.plot(peak_nodes, apc, "o-", color="#1f77b4", lw=2, ms=7, label="TTL-LRU W(T)") - for r, x, y in zip(ws["taus"], peak_nodes, apc): - ax1.annotate(f"{r['tau']:g}s", (x, y), fontsize=8, - textcoords="offset points", xytext=(4, 5)) - ax1.scatter([oracle_nodes], [ceil], marker="*", s=320, color="#d62728", zorder=5, - label=f"oracle / ceiling ({ceil:.1f}% @ {oracle_nodes:.0f} nodes)") + # ===== panel 1: benefit vs cost -- APC you get per cluster size ===== + ax1.plot(nodes, apc, "o-", color="#1f77b4", lw=2, ms=7, zorder=4, label="TTL-LRU cache") + # interpolated APC exactly at the 1-node budget + apc_at_1 = float(np.interp(1.0, nodes, apc)) + ax1.scatter([1], [apc_at_1], s=90, facecolors="none", edgecolors="#ff7f0e", + lw=2, zorder=6) + ax1.annotate(f"1 node -> ~{apc_at_1:.0f}% APC\n(TTL model; real LRU higher)", + (1, apc_at_1), textcoords="offset points", xytext=(12, -2), + fontsize=9, color="#ff7f0e", va="top") + # label the well-separated decision-zone points + for r, x, y in zip(rows, nodes, apc): + if x >= 1.5: + ax1.annotate(f"keep {r['tau']:g}s reuse", (x, y), + textcoords="offset points", xytext=(6, 6), fontsize=8.5) + ax1.annotate("T<=10s reuse:\nall < 1.4 nodes", (0.5, 22), fontsize=8.5, + color="#1f77b4", ha="left") + # budget + ceiling + ax1.axvspan(0, 1, color="#2ca02c", alpha=.08) + ax1.axvline(1, ls="--", color="#2ca02c", lw=1.8) + ax1.text(1.05, 96, "1 B300 node (your budget)", color="#2ca02c", fontsize=9, va="top") + ax1.scatter([oracle_nodes], [ceil], marker="*", s=340, color="#d62728", zorder=7) + ax1.annotate(f"ceiling {ceil:.1f}%\noracle: {oracle_nodes:.0f} nodes", + (oracle_nodes, ceil), textcoords="offset points", xytext=(-10, -8), + fontsize=9, color="#d62728", ha="right", va="top") ax1.axhline(ceil, ls=":", color="#d62728", alpha=.5) - for k in (1, 2, 4, 8, 16, 32): - ax1.axvline(k, ls="--", color="#2ca02c", alpha=.45) - ax1.text(k, 2, f"{k} node / {k*gpr} GPU", - rotation=90, va="bottom", ha="right", fontsize=8, color="#2ca02c") - ax1.axvspan(0.1, 1, color="#2ca02c", alpha=.06) # "fits in 1 node" region - ax1.set_xscale("log") - ax1.set_xlabel(f"# nodes of GPU HBM that must hold the KV ({node_lbl})") - ax1.set_ylabel("Achievable prefix-cache hit rate (APC %)") - ax1.set_title("APC vs cluster size (nodes)") - ax1.grid(alpha=.3, which="both"); ax1.legend(loc="lower right"); ax1.set_ylim(0, 100) + ax1.set_xlim(0, XMAX); ax1.set_ylim(0, 100) + ax1.set_xticks(range(0, XMAX + 1, 2)); ax1.set_xticks(range(0, XMAX + 1), minor=True) + ax1.set_xlabel(f"# nodes of GPU HBM needed (1 node = {gpr}x {hw['gpu']} = {pool:.0f} GB KV)") + ax1.set_ylabel("Prefix-cache hit rate (APC %)") + ax1.set_title("Benefit vs cost: APC per cluster size", fontweight="bold") + ax1.grid(alpha=.3); ax1.grid(alpha=.15, which="minor"); ax1.legend(loc="center right") - # --- panel 2: nodes needed by retention window --- - sel = [r for r in ws["taus"] if r["tau"] in (2, 30, 300, 600)] - xs = np.arange(len(sel)); w = 0.38 - ax2.bar(xs - w/2, [r["peak_blocks"]*bgb/pool for r in sel], w, label="peak", color="#1f77b4") - ax2.bar(xs + w/2, [r["p50_blocks"]*bgb/pool for r in sel], w, label="median", color="#aec7e8") - ax2.axhline(1, ls="--", color="#2ca02c", lw=2, label="your budget: 1 node") - ax2.axhline(oracle_nodes, ls=":", color="#d62728", lw=2, - label=f"oracle full-ceiling ({oracle_nodes:.0f} nodes)") - ax2.set_xticks(xs); ax2.set_xticklabels([f"T={r['tau']:g}s\nAPC={r['apc']*100:.0f}%" for r in sel]) - ax2.set_ylabel("# nodes of HBM needed") - ax2.set_yscale("log") - ax2.set_title("Cluster size by retention window") - ax2.grid(alpha=.3, axis="y", which="both"); ax2.legend(loc="upper left", fontsize=9) + # ===== panel 2: cost -- nodes needed to retain T seconds of reuse ===== + ax2.plot(tau, nodes, "s-", color="#1f77b4", lw=2, ms=7, zorder=4) + ax2.axhline(1, ls="--", color="#2ca02c", lw=1.8, label="1 node (your budget)") + ax2.axhline(oracle_nodes, ls=":", color="#d62728", lw=1.8, + label=f"full ceiling = {oracle_nodes:.0f} nodes") + # where the curve crosses the 1-node budget + tau_at_1 = float(np.interp(1.0, nodes, tau)) + ax2.scatter([tau_at_1], [1], s=90, facecolors="none", edgecolors="#ff7f0e", lw=2, zorder=6) + ax2.annotate(f"1 node only retains\n~{tau_at_1:.0f}s of reuse", (tau_at_1, 1), + textcoords="offset points", xytext=(8, 14), fontsize=9, color="#ff7f0e") + for r, x, y in zip(rows, tau, nodes): + if y >= 1.5: + ax2.annotate(f"{r['tau']:g}s", (x, y), textcoords="offset points", + xytext=(4, 5), fontsize=8.5) + ax2.set_xscale("log") + ax2.set_xticks([1, 2, 5, 10, 30, 60, 300]) + ax2.set_xticklabels(["1s", "2s", "5s", "10s", "30s", "60s", "300s"]) + ax2.set_ylim(0, XMAX); ax2.set_yticks(range(0, XMAX + 1, 2)) + ax2.set_xlabel("retention window T (how long-idle a session's KV we keep)") + ax2.set_ylabel("# nodes of GPU HBM needed") + ax2.set_title("Cost: nodes needed to retain T-seconds of reuse", fontweight="bold") + ax2.grid(alpha=.3, which="both"); ax2.legend(loc="upper left", fontsize=9) fig.suptitle(label, fontsize=13, fontweight="bold") fig.tight_layout(rect=[0, 0, 1, 0.97])