From 2247d1de08cde07cd8d6eb21aca0bed6d5ceaeec Mon Sep 17 00:00:00 2001 From: Gahow Wang Date: Thu, 28 May 2026 16:31:26 +0800 Subject: [PATCH] Working-set figure: right panel = W(t) time series Replace the (redundant) nodes-vs-T cost curve with the working-set W(t) over wall-clock time for T=2/30/300s. Shows footprint is steady (peak ~ median) after a short warm-up, so peak-based sizing is sound; the 300s curve hugs the 14-node ceiling throughout. Co-Authored-By: Claude Opus 4.7 --- figs/working_set/glm5_fp8_tp8_b300.png | Bin 169337 -> 194511 bytes scripts/working_set_analysis.py | 54 ++++++++++++++----------- 2 files changed, 30 insertions(+), 24 deletions(-) diff --git a/figs/working_set/glm5_fp8_tp8_b300.png b/figs/working_set/glm5_fp8_tp8_b300.png index 92edd2f466249b90f21bdaffbdceda8bb6bc5a76..e3ba68cbc8e76960639f7accd5096792a040f1c5 100644 GIT binary patch literal 194511 zcmdSBg;!K<)HjT+fC4IwBA_DOrGyfq0!j@rln6tIbb|p30s=~>fYeYjbPGtAfW&~b zba%tI&;7=F-ap}UEpOLN%$zyry7vCnzWfxQ%U&j=AtWFmxcu~qv@!v~g?IvjGsG9q z!&m%wi8$b&`}Q&#_A1s!_D=e?7y<=-`_~rM_78W%+-9g45d8nCtH29!+?aORt}3+7S?3J4XJVx)3VjO>l~U;HmT@Rp;2nVTVZa z-nt8`D~?VV7Q2V#oS0a;pFF$wShgm^5p$Joo7$|Z&ljo6SbZmavPD@ zuG}cUR=hoeIaQr76E%a66XCN+1Hx5>m3tj`=?sOmYX59B9LyB@#Me#X-jqMw#IFc&nZzwz<#D#h!J# zsiVpsT;>%POVzfqT(!NK>X@1Cjt;pQDq%AGsBHQ*1D4QpoBF?{Q2|h=B9L_q|fgv54SAs(yLKXQ54qd z3w3^Z85VdPMfS?Sf8O7|-9p~jpdp}UxZKIo{&CxbA~L4O-=2lBUL+>=hAYw5(IKOt 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also return the full W(t) time series on `grid`.""" A = len(ids) order = np.lexsort((ts, ids)) ids_s, ts_s = ids[order], ts[order] @@ -127,6 +129,7 @@ def compute_working_set(ids, ts, taus): oracle_peak = _sweep_peak(first[seen], last[seen]) rows = [] + series = {} for T in taus: enter = ts_s[prev_gap > T] exit_ = ts_s[next_gap > T] + T @@ -138,11 +141,15 @@ def compute_working_set(ids, ts, taus): "p50_blocks": float(np.percentile(ser, 50)), "apc": float((prev_gap <= T).sum() / A), }) + if T in series_taus: + series[T] = ser return { "A": A, "n_unique": n_unique, "n_reuse": A - n_unique, "apc_ceiling": (A - n_unique) / A, "oracle_peak_blocks": oracle_peak, "span": float(ts.max() - ts.min()), + "grid_s": grid - grid.min(), + "series": series, "taus": rows, } @@ -200,28 +207,26 @@ def plot(ws, hw, block_bytes, label, out_path): 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: 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"]) + # ===== panel 2: working set W(t) over time (steady -> peak ~ median) ===== + apc_of = {r["tau"]: r["apc"] * 100 for r in ws["taus"]} + t_min = ws["grid_s"] / 60.0 # minutes + colors = {2: "#2ca02c", 30: "#ff7f0e", 300: "#1f77b4"} + for T, ser in sorted(ws["series"].items()): + y = ser * bgb / pool + c = colors.get(T, "#777") + ax2.plot(t_min, y, lw=1.8, color=c, label=f"keep {T:g}s reuse (APC {apc_of[T]:.0f}%)") + ax2.axhline(float(np.median(y)), ls=":", color=c, alpha=.6, lw=1) + ax2.axhline(1, ls="--", color="#2ca02c", lw=1.6, alpha=.8) + ax2.text(t_min.max(), 1, " 1-node budget", color="#2ca02c", fontsize=8.5, va="center") + ax2.axhline(oracle_nodes, ls="--", color="#d62728", lw=1.6, alpha=.8) + ax2.text(t_min.max(), oracle_nodes, " ceiling: 14 nodes", color="#d62728", + fontsize=8.5, va="center") 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) + ax2.set_xlim(0, t_min.max()) + ax2.set_xlabel("wall-clock time into the trace (min)") + ax2.set_ylabel("# nodes of GPU HBM resident (W(t))") + ax2.set_title("Working set over time (flat -> peak ~ median)", fontweight="bold") + ax2.grid(alpha=.3); ax2.legend(loc="center right", fontsize=9) fig.suptitle(label, fontsize=13, fontweight="bold") fig.tight_layout(rect=[0, 0, 1, 0.97]) @@ -258,8 +263,9 @@ def main(): hw = {"gpus_per_replica": gpus_per_replica, "kv_pool_gb": kv_pool_gb, "gpu": a.gpu} taus = [1, 2, 5, 10, 30, 60, 300, 600, 1800] + series_taus = [2, 30, 300] # W(t) lines drawn in panel 2 n, ids, ts = load_trace(a.trace, a.min_ts, a.max_ts) - ws = compute_working_set(ids, ts, taus) + ws = compute_working_set(ids, ts, taus, series_taus) label = a.label or f"{model['name']} {a.gpu} TP{a.tp}" + (f" EP{a.ep}" if a.ep else "") print("=" * 84)