From 7ba98b6087ca443c06a2e81edef9f904e8a6a9ec Mon Sep 17 00:00:00 2001 From: Gahow Wang Date: Mon, 6 Jul 2026 13:19:09 +0800 Subject: [PATCH] Add knob conditional effect figures --- .../knob-conditional-c1-qwen30b-surface.png | Bin 0 -> 187558 bytes .../knob-conditional-c1-qwen30b-surface.svg | 2213 ++++++++++++ ...b-conditional-c3-qwen235b-decode-lines.png | Bin 0 -> 111281 bytes ...b-conditional-c3-qwen235b-decode-lines.svg | 1788 ++++++++++ .../knob-conditional-delta-summary.png | Bin 0 -> 138293 bytes .../knob-conditional-delta-summary.svg | 2481 +++++++++++++ .../knob-interaction-residual-c1-qwen30b.png | Bin 0 -> 99108 bytes .../knob-interaction-residual-c1-qwen30b.svg | 1522 ++++++++ .../knob-oat-counterexample-c1-qwen30b.png | Bin 0 -> 232004 bytes .../knob-oat-counterexample-c1-qwen30b.svg | 3090 +++++++++++++++++ .../knob-conditional-effects-20260705.md | 192 + scripts/plot_knob_conditional_effects.py | 381 ++ 12 files changed, 11667 insertions(+) create mode 100644 docs/harness-ablation/figures/knob-conditional-c1-qwen30b-surface.png create mode 100644 docs/harness-ablation/figures/knob-conditional-c1-qwen30b-surface.svg create mode 100644 docs/harness-ablation/figures/knob-conditional-c3-qwen235b-decode-lines.png create mode 100644 docs/harness-ablation/figures/knob-conditional-c3-qwen235b-decode-lines.svg create mode 100644 docs/harness-ablation/figures/knob-conditional-delta-summary.png create mode 100644 docs/harness-ablation/figures/knob-conditional-delta-summary.svg create mode 100644 docs/harness-ablation/figures/knob-interaction-residual-c1-qwen30b.png create mode 100644 docs/harness-ablation/figures/knob-interaction-residual-c1-qwen30b.svg create mode 100644 docs/harness-ablation/figures/knob-oat-counterexample-c1-qwen30b.png create mode 100644 docs/harness-ablation/figures/knob-oat-counterexample-c1-qwen30b.svg create mode 100644 docs/harness-ablation/knob-conditional-effects-20260705.md create mode 100644 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+ + + + + + diff --git a/docs/harness-ablation/knob-conditional-effects-20260705.md b/docs/harness-ablation/knob-conditional-effects-20260705.md new file mode 100644 index 0000000..632337f --- /dev/null +++ b/docs/harness-ablation/knob-conditional-effects-20260705.md @@ -0,0 +1,192 @@ +# Knob conditional effect 证据整理 + +本文整理 2026-07-01 到 2026-07-03 在 `dash1` 上跑的 interaction screening 结果,用来支持一个具体论点: + +> Serving tuning knobs 不是彼此独立的。一个 knob 的收益方向和收益大小依赖当前 topology、admission/concurrency 和 scheduler context,因此不能假设“逐个 knob tune 到最好”一定可靠。 + +## Presentation review: 应该怎么展示 + +原来的 delta summary 能证明 `Delta_knob(context)` 不同,但它不够直观,因为它没有展示 tuning algorithm 会怎么失败。更适合作为 paper 主图的是: + +1. **主图:OAT path counterexample** + 在同一个 measured response surface 上画两条 one-knob-at-a-time 路径。读者能直接看到:同一个起点、不同单维 tuning 顺序,会停在不同点,而且其中一个是 coordinate-wise local optimum。 +2. **补充图:interaction residual** + 用 additive model residual 形式说明:如果 TP 和 MNS 是独立贡献,残差应接近 0;实际残差有结构性正负块。 +3. **补充图:delta/context summary** + 保留为形式化证据,但不作为主图,因为它不能直接展示 OAT 的路径依赖。 + +因此本文推荐把 `knob-oat-counterexample-c1-qwen30b` 作为主文图,把 C3 crossed lines 和 residual/delta 放在 appendix 或机制分析图中。 + +## 图 1:OAT path counterexample + +![OAT counterexample](figures/knob-oat-counterexample-c1-qwen30b.png) + +数据来源: + +- `interaction-mixed-qwen30b-tp-mns-surface-high1-dash1-d8899c5-20260701T095858Z` +- `interaction-mixed-qwen30b-tp4-mns-nocap-qps20-dash1-d8899c5-20260701T161900Z` + +这张图直接展示为什么“逐个维度独立 tune”不可靠。我们从同一个起点 `TP=1, MNS=8` 出发: + +| Strategy | Path | Final req/s/GPU | +|---|---|---:| +| tune MNS first, then TP | `TP1,MNS8 -> TP1,MNS16 -> TP4,MNS16` | `2.44` | +| tune TP first, then MNS | `TP1,MNS8 -> TP2,MNS8 -> TP2,MNS32` | `3.28` | + +`TP4,MNS16` 是一个 measured coordinate-wise local optimum: + +- 固定 `TP=4` 调 `MNS`:`MNS16/32/64` 都是 `2.44`,没有 strictly improving move; +- 固定 `MNS=16` 调 `TP`:`TP4=2.44` 高于 `TP1=2.35` 和 `TP2=2.27`; +- 但全局最好点 `TP2,MNS32=3.28` 比它高 `25.6%`。 + +这比单纯说 “MNS 的 delta 依赖 TP” 更有力:它展示了一个实际 tuning path 如何被独立维度假设带到次优点。要从 `TP4,MNS16` 逃到 `TP2,MNS32`,tuner 必须允许非独立的 context-aware move,或者至少维护 frontier/plateau 上的反事实 anchor;单维 greedy OAT 不够。 + +这里的结论不是“所有 workload 都有强 interaction”,而是更严格地说: + +1. 在真实 case 中确实存在明显 conditional effect; +2. 这个现象足以否定 naive one-knob-at-a-time/OAT 作为通用 tuning strategy; +3. harness 需要维护 mechanism-aware context,而不是把 knobs 当作独立维度。 + +## Formal definition + +记某个 engine config 的 SLO-feasible objective 为: + +```text +f(config) = max request_rate_per_gpu subject to pass_rate >= target +``` + +对 knob `x` 的一个 intervention `x_low -> x_high`,在 context `c` 下的效果定义为: + +```text +Delta_x(c) = f(x_high, c) - f(x_low, c) +``` + +如果存在两个 context `c1, c2`,使得: + +```text +Delta_x(c1) != Delta_x(c2) +``` + +则说明 knob `x` 存在 conditional effect。若符号也变化,比如一个 context 下提升、另一个 context 下降,则是更强的 interaction。 + +## 图 2:C1 Qwen30B mixed workload surface + +![C1 Qwen30B surface](figures/knob-conditional-c1-qwen30b-surface.png) + +数据来源: + +- `interaction-mixed-qwen30b-tp-mns-surface-high1-dash1-d8899c5-20260701T095858Z` +- `interaction-mixed-qwen30b-tp4-mns-nocap-qps20-dash1-d8899c5-20260701T161900Z` + +关键观察: + +| Context | `MNS=8 -> 32` 的 req/s/GPU 变化 | +|---|---:| +| `TP=1` | `2.10 -> 2.28`, `+8.7%` | +| `TP=2` | `2.28 -> 3.28`, `+44.3%` | +| `TP=4` | `1.28 -> 2.44`, `+90.3%` | + +这说明 `max-num-seqs` 的收益强烈依赖 `tensor-parallel-size`。同一个 `MNS` 调整在 `TP=1` 下只是小幅提升,在 `TP=2/4` 下变成决定性能上限的关键 knob。 + +反过来看,`TP` 的收益也依赖 `MNS`: + +- 在 `MNS=8` 时,`TP=4` 是坏点,只有 `1.28 req/s/GPU`; +- 在 `MNS=32` 时,`TP=2` 变成全局最优附近,达到 `3.28 req/s/GPU`。 + +因此,如果 tuner 固定 `MNS=8` 去判断 topology,会错误低估 `TP=4`,也会无法看到 `TP=2 + MNS=32` 的最佳区域;如果固定 `TP=1` 去调 `MNS`,又会低估更高 TP 下 concurrency knob 的价值。这就是 OAT order sensitivity。 + +## 图 3:C1 additive residual + +![C1 interaction residual](figures/knob-interaction-residual-c1-qwen30b.png) + +如果 `TP` 和 `MNS` 可以独立建模,一个简单 additive model: + +```text +f(TP, MNS) ~= base + effect(TP) + effect(MNS) +``` + +应该留下接近 0 的 residual。实际 residual 最大达到约 `0.46 req/s/GPU`,而且呈现结构性模式: + +- `TP2,MNS32/64` 是正 residual,说明这个组合比独立效应相加更好; +- `TP2,MNS16` 和 `TP4,MNS8` 是强负 residual,说明某些组合显著低于独立假设预测。 + +这张图适合放在机制/appendix 中,用数学形式支持“不是独立 knob effect”。 + +## 图 4:C3 Qwen235B decode workload + +![C3 Qwen235B decode lines](figures/knob-conditional-c3-qwen235b-decode-lines.png) + +数据来源: + +- `interaction-qwen235b-decode-c3-topo-mns-mbt-fixed-dash1-d8899c5-20260703T022514Z` + +完整 8 点结果: + +| Config | req/s/GPU | pass rate | +|---|---:|---:| +| `TP4 DP2 EP8 MNS64 MBT256` | `0.0535` | `1.0000` | +| `TP4 DP2 EP8 MNS64 MBT384` | `0.0535` | `0.9922` | +| `TP4 DP2 EP8 MNS128 MBT256` | `0.0590` | `0.9929` | +| `TP4 DP2 EP8 MNS128 MBT384` | `0.0590` | `0.9929` | +| `TP2 DP4 EP8 MNS64 MBT256` | `0.0590` | `0.9753` | +| `TP2 DP4 EP8 MNS64 MBT384` | `0.0535` | `0.9961` | +| `TP2 DP4 EP8 MNS128 MBT256` | `0.0590` | `0.9788` | +| `TP2 DP4 EP8 MNS128 MBT384` | `0.0590` | `0.9823` | + +关键观察: + +- `MBT 256 -> 384` 在 `TP4/DP2 + MNS64` 下没有收益; +- 同一个 `MBT 256 -> 384` 在 `TP2/DP4 + MNS64` 下反而下降约 `9.2%`; +- `MNS 64 -> 128` 在 `TP4/DP2` 下提升约 `10.1%`; +- 同一个 `MNS 64 -> 128` 在 `TP2/DP4 + MBT256` 下没有收益,但在 `TP2/DP4 + MBT384` 下恢复约 `10.1%`。 + +这说明 runtime knobs 的作用不是单调独立的。`MBT` 是否有害取决于 topology 和 `MNS`;`MNS` 是否有用也取决于 topology 和 `MBT`。 + +## 图 5:Delta 形式的直接证据 + +![Delta summary](figures/knob-conditional-delta-summary.png) + +这张图把上面的论证直接转成 `Delta_x(context)`: + +- C1 中,同样是 `MNS 8 -> 32`,收益从 `+8.7%` 到 `+90.3%` 不等; +- C3 中,同样是 `MBT 256 -> 384`,有的 context 是 `0%`,有的 context 是 `-9.2%`; +- C3 中,同样是 `MNS 64 -> 128`,有的 context 是 `0%`,有的 context 是 `+10.1%`。 + +这就是 conditional effect 的直接测量证据。 + +## C2 是边界案例,不是反例 + +C2 Qwen235B prefill tight SLO 的结果更弱: + +- `TP4` family: `0.1067~0.1175 req/s/GPU`; +- `TP8` family: `0.1727 req/s/GPU`; +- 在测过的 `MNS={64,128}`、`MBT={8192,16384}` 网格里 runtime knobs 基本平。 + +这个 case 说明并不是每个 workload 都会在 runtime knobs 上表现出强 interaction。它的主要结论是 topology 主导:`TP8` 相比 `TP4` 约 `+47% req/s/GPU`。 + +这对 paper framing 反而有用:我们的 claim 不应该是“所有 knobs 总是强耦合”,而应该是: + +> Tuning system 不能预设 knobs 独立;它必须通过 measured response 判断当前 case 是 topology-dominant、runtime-interaction-dominant,还是 flat/noisy。Harness 的作用是把这些 measured evidence 维护成 search context。 + +## 对 harness 设计的含义 + +这些图支持我们当前 framing: + +1. Harness 不应该只做单 knob local search。它需要保留 topology/runtime context,并允许 joint or projected interventions。 +2. Candidate generation 不能只说“把某个 knob 调大/调小”,而要说明这个 intervention 所依赖的 context。 +3. Validator 不能只比较 raw request rate;必须比较 SLO-feasible `request_rate_per_gpu`,并保存 negative evidence。 +4. LLM/planner 的价值不应被描述成“猜一个更好的 knob 值”,而是基于 harness 提供的 measured context 去提出 plausible joint moves。 + +## 复现图 + +```bash +python3 scripts/plot_knob_conditional_effects.py +``` + +输出: + +- `docs/harness-ablation/figures/knob-oat-counterexample-c1-qwen30b.png` +- `docs/harness-ablation/figures/knob-interaction-residual-c1-qwen30b.png` +- `docs/harness-ablation/figures/knob-conditional-c1-qwen30b-surface.png` +- `docs/harness-ablation/figures/knob-conditional-c3-qwen235b-decode-lines.png` +- `docs/harness-ablation/figures/knob-conditional-delta-summary.png` diff --git a/scripts/plot_knob_conditional_effects.py b/scripts/plot_knob_conditional_effects.py new file mode 100644 index 0000000..64e7ade --- /dev/null +++ b/scripts/plot_knob_conditional_effects.py @@ -0,0 +1,381 @@ +#!/usr/bin/env python3 +"""Plot measured knob conditional effects for the AITuner harness study.""" + +from __future__ import annotations + +from pathlib import Path + +import matplotlib + +matplotlib.use("Agg") +import matplotlib.pyplot as plt +import numpy as np +from matplotlib.lines import Line2D +from matplotlib.patches import Patch + + +OUT = Path("docs/harness-ablation/figures") + + +def save(fig: plt.Figure, name: str) -> None: + OUT.mkdir(parents=True, exist_ok=True) + fig.savefig(OUT / f"{name}.png", dpi=220, bbox_inches="tight") + fig.savefig(OUT / f"{name}.svg", bbox_inches="tight") + + +def plot_c1_surface() -> None: + # Qwen30B mixed workload, TP x MNS screen. Values are req/s/GPU. + # Source runs: + # - interaction-mixed-qwen30b-tp-mns-surface-high1-dash1-d8899c5-20260701T095858Z + # - interaction-mixed-qwen30b-tp4-mns-nocap-qps20-dash1-d8899c5-20260701T161900Z + mns = np.array([8, 16, 32, 64]) + tp = np.array([1, 2, 4]) + values = np.array( + [ + [2.1000, 2.3500, 2.2833, 2.2833], + [2.2750, 2.2750, 3.2833, 3.2583], + [1.2833, 2.4417, 2.4417, 2.4417], + ] + ) + + fig, axes = plt.subplots(1, 2, figsize=(12.8, 4.8), gridspec_kw={"width_ratios": [1.05, 1.2]}) + ax = axes[0] + im = ax.imshow(values, cmap="YlGnBu", aspect="auto", vmin=1.2, vmax=3.35) + ax.set_xticks(range(len(mns)), labels=mns) + ax.set_yticks(range(len(tp)), labels=[f"TP={x}" for x in tp]) + ax.set_xlabel("max-num-seqs (MNS)") + ax.set_ylabel("tensor-parallel-size") + ax.set_title("C1 response surface: req/s/GPU") + for i in range(values.shape[0]): + for j in range(values.shape[1]): + color = "white" if values[i, j] > 2.75 else "black" + ax.text(j, i, f"{values[i, j]:.2f}", ha="center", va="center", color=color, fontsize=10) + cbar = fig.colorbar(im, ax=ax, fraction=0.046, pad=0.04) + cbar.set_label("req/s/GPU") + + ax = axes[1] + colors = {1: "#4E79A7", 2: "#59A14F", 4: "#E15759"} + for idx, t in enumerate(tp): + ax.plot(mns, values[idx], marker="o", linewidth=2.4, color=colors[int(t)], label=f"TP={t}") + ax.set_xscale("log", base=2) + ax.set_xticks(mns, labels=mns) + ax.set_xlabel("max-num-seqs (MNS)") + ax.set_ylabel("req/s/GPU") + ax.set_title("Non-parallel lines imply interaction") + ax.grid(True, axis="y", alpha=0.28) + ax.legend(frameon=False) + ax.annotate( + "TP=2 only becomes best\nwhen MNS reaches 32", + xy=(32, 3.2833), + xytext=(20, 3.05), + arrowprops={"arrowstyle": "->", "lw": 1.2}, + fontsize=9, + ) + ax.annotate( + "TP=4 is bad at MNS=8\nbut recovers at MNS>=16", + xy=(8, 1.2833), + xytext=(10, 1.55), + arrowprops={"arrowstyle": "->", "lw": 1.2}, + fontsize=9, + ) + fig.suptitle("Knob effects are conditional: MNS effect depends on TP", fontsize=14, y=1.02) + fig.tight_layout() + save(fig, "knob-conditional-c1-qwen30b-surface") + plt.close(fig) + + +def plot_c1_oat_counterexample() -> None: + # C1 Qwen30B: one-knob-at-a-time tuning gets trapped at a coordinate-wise + # local optimum 25.6% below the measured global best. The right panel zooms + # into the trap's neighbourhood so the reader can SEE that every single-knob + # move from the trap is worse or flat, instead of having to read a caption. + mns = [8, 16, 32, 64] + tp = [1, 2, 4] + values = np.array( + [ + [2.1000, 2.3500, 2.2833, 2.2833], + [2.2750, 2.2750, 3.2833, 3.2583], + [1.2833, 2.4417, 2.4417, 2.4417], + ] + ) + idx = {(t, s): (mns.index(s), tp.index(t)) for t in tp for s in mns} + + fig, axes = plt.subplots(1, 2, figsize=(14.0, 6.2), gridspec_kw={"width_ratios": [1.5, 1.0]}) + ax = axes[0] + im = ax.imshow(values, cmap="YlGnBu", aspect="auto", vmin=1.2, vmax=3.35) + ax.set_xticks(range(len(mns)), labels=mns) + ax.set_yticks(range(len(tp)), labels=[f"TP={x}" for x in tp]) + ax.set_xlabel("max-num-seqs (MNS)", fontsize=11) + ax.set_ylabel("tensor-parallel-size", fontsize=11) + ax.set_title("Two OAT paths from the same start", fontsize=12, loc="left") + for i in range(values.shape[0]): + for j in range(values.shape[1]): + color = "white" if values[i, j] > 2.75 else "black" + ax.text(j, i, f"{values[i, j]:.2f}", ha="center", va="center", color=color, fontsize=11, weight="bold") + + def draw_path(path: list[tuple[int, int]], color: str, labels: list[str]) -> None: + for (a, b) in zip(path, path[1:]): + x0, y0 = idx[a] + x1, y1 = idx[b] + ax.annotate( + "", + xy=(x1, y1), + xytext=(x0, y0), + arrowprops={"arrowstyle": "->", "lw": 3.2, "color": color, "shrinkA": 22, "shrinkB": 22}, + ) + for (a, b), lbl in zip(zip(path, path[1:]), labels): + x0, y0 = idx[a] + x1, y1 = idx[b] + mx, my = (x0 + x1) / 2, (y0 + y1) / 2 + if x0 == x1: # vertical move -> label to the side + ax.text( + mx + 0.30, + my, + lbl, + color=color, + fontsize=9.5, + ha="left", + va="center", + weight="bold", + bbox={"boxstyle": "round,pad=0.2", "facecolor": "white", "edgecolor": "none", "alpha": 0.85}, + ) + else: # horizontal move -> label above + ax.text( + mx, + my - 0.32, + lbl, + color=color, + fontsize=9.5, + ha="center", + va="bottom", + weight="bold", + bbox={"boxstyle": "round,pad=0.2", "facecolor": "white", "edgecolor": "none", "alpha": 0.85}, + ) + + # Red: tune MNS first, then TP -> walks into a coordinate-wise local optimum. + draw_path([(1, 8), (1, 16), (4, 16)], "#C0392B", ["tune MNS", "tune TP"]) + # Green: tune TP first, then MNS -> reaches the measured global best. + draw_path([(1, 8), (2, 8), (2, 32)], "#2E7D32", ["tune TP", "tune MNS"]) + + # start / trap / best markers (explained by the legend below the grid) + sx, sy = idx[(1, 8)] + ax.scatter([sx], [sy], marker="o", s=210, facecolors="none", edgecolors="black", linewidths=2.2, zorder=5) + trap = (4, 16) + tx, ty = idx[trap] + ax.add_patch(plt.Rectangle((tx - 0.5, ty - 0.5), 1, 1, fill=False, edgecolor="#C0392B", linewidth=3.4)) + best = (2, 32) + bx, by = idx[best] + ax.add_patch(plt.Rectangle((bx - 0.5, by - 0.5), 1, 1, fill=False, edgecolor="#2E7D32", linewidth=3.4)) + + legend_elements = [ + Line2D([0], [0], marker="o", color="w", markerfacecolor="none", markeredgecolor="black", markeredgewidth=2, markersize=10, label="start TP1,MNS8 = 2.10"), + Patch(facecolor="none", edgecolor="#C0392B", linewidth=2.4, label="OAT trap TP4,MNS16 = 2.44 (no improving single-knob move)"), + Patch(facecolor="none", edgecolor="#2E7D32", linewidth=2.4, label="global best TP2,MNS32 = 3.28"), + ] + ax.legend(handles=legend_elements, loc="upper center", bbox_to_anchor=(0.5, -0.11), ncol=1, frameon=False, fontsize=9.5) + cbar = fig.colorbar(im, ax=ax, fraction=0.038, pad=0.035) + cbar.set_label("req/s/GPU") + + # ---- right panel: why the red path stops (trap neighbourhood zoom) ---- + ax2 = axes[1] + ax2.set_xlim(-0.55, 3.55) + ax2.set_ylim(-0.65, 3.7) + ax2.set_aspect("equal") + ax2.set_axis_off() + ax2.set_title("Why the red path stops here", fontsize=12, loc="left") + + # 3x3 neighbourhood of the trap (TP4,MNS16). Rows match left panel: + # top=TP2, middle=TP4(trap), bottom=TP8(not measured). Cols: MNS 8/16/32. + # (col, row) with row 0 at bottom. + zoom_cells = { + (1, 2): ("2.275", "TP2", "dead"), # up neighbour + (0, 1): ("1.28", "TP4", "dead"), # left neighbour + (1, 1): ("2.44", "TP4", "trap"), # the trap + (2, 1): ("2.44", "TP4", "flat"), # right neighbour (flat, not strictly improving) + (1, 0): ("—", "TP8", "oob"), # down neighbour (not measured) + } + for (col, row), (val, tplabel, kind) in zoom_cells.items(): + x, y = col, row + if kind == "trap": + fc, ec, lw = "#FDECEA", "#C0392B", 3.2 + elif kind == "oob": + fc, ec, lw = "#F2F2F2", "#CCCCCC", 1.0 + else: + fc, ec, lw = "#FDF2F2", "#E6B0AA", 1.4 + ax2.add_patch(plt.Rectangle((x, y), 1, 1, facecolor=fc, edgecolor=ec, linewidth=lw)) + if kind == "oob": + ax2.text(x + 0.5, y + 0.5, "no data", ha="center", va="center", fontsize=9, color="#999", style="italic") + else: + val_color = "#C0392B" if kind in ("dead", "flat") else "#222" + ax2.text(x + 0.5, y + 0.62, val, ha="center", va="center", fontsize=13, weight="bold", color=val_color) + sublabel = tplabel + if kind == "trap": + sublabel = f"{tplabel} · trap" + elif kind == "flat": + sublabel = f"{tplabel} · flat" + ax2.text(x + 0.5, y + 0.28, sublabel, ha="center", va="center", fontsize=8.5, color="#666") + if kind in ("dead", "flat"): + ax2.text(x + 0.87, y + 0.87, "✗", ha="center", va="center", color="#C0392B", fontsize=18, weight="bold") + + # axis labels for the zoom + ax2.text(-0.18, 2.5, "TP=2", ha="right", va="center", fontsize=9, color="#666") + ax2.text(-0.18, 1.5, "TP=4", ha="right", va="center", fontsize=9, color="#666") + ax2.text(-0.18, 0.5, "TP=8", ha="right", va="center", fontsize=9, color="#999") + ax2.text(0.5, -0.18, "MNS=8", ha="center", va="top", fontsize=9, color="#666") + ax2.text(1.5, -0.18, "MNS=16", ha="center", va="top", fontsize=9, color="#666") + ax2.text(2.5, -0.18, "MNS=32", ha="center", va="top", fontsize=9, color="#666") + + ax2.text( + 1.5, + 3.45, + "Every measured single-knob move from the trap\nis worse or flat → coordinate ascent is stuck", + ha="center", + va="center", + fontsize=10.5, + color="#222", + bbox={"boxstyle": "round,pad=0.35", "facecolor": "white", "edgecolor": "#C0392B"}, + ) + + fig.suptitle("One-knob-at-a-time tuning gets trapped: 25.6% throughput gap between two tuning orders", fontsize=14, y=1.02) + fig.tight_layout() + save(fig, "knob-oat-counterexample-c1-qwen30b") + plt.close(fig) + + +def plot_c1_interaction_residual() -> None: + # If TP and MNS were independent additive effects, this residual matrix would be near zero. + mns = [8, 16, 32, 64] + tp = [1, 2, 4] + values = np.array( + [ + [2.1000, 2.3500, 2.2833, 2.2833], + [2.2750, 2.2750, 3.2833, 3.2583], + [1.2833, 2.4417, 2.4417, 2.4417], + ] + ) + residual = values - values.mean(axis=1, keepdims=True) - values.mean(axis=0, keepdims=True) + values.mean() + fig, ax = plt.subplots(figsize=(7.2, 4.8)) + limit = float(np.abs(residual).max()) + im = ax.imshow(residual, cmap="RdBu", aspect="auto", vmin=-limit, vmax=limit) + ax.set_xticks(range(len(mns)), labels=mns) + ax.set_yticks(range(len(tp)), labels=[f"TP={x}" for x in tp]) + ax.set_xlabel("max-num-seqs (MNS)") + ax.set_ylabel("tensor-parallel-size") + ax.set_title("C1 non-additive interaction residual") + for i in range(residual.shape[0]): + for j in range(residual.shape[1]): + ax.text(j, i, f"{residual[i, j]:+.2f}", ha="center", va="center", fontsize=10) + cbar = fig.colorbar(im, ax=ax, fraction=0.046, pad=0.04) + cbar.set_label("req/s/GPU residual") + fig.suptitle("Independent-knob additive model leaves large structured residuals", fontsize=13, y=1.02) + fig.tight_layout() + save(fig, "knob-interaction-residual-c1-qwen30b") + plt.close(fig) + + +def plot_c3_lines() -> None: + # Qwen235B decode C3, topology x MNS x MBT screen. + # Source run: + # interaction-qwen235b-decode-c3-topo-mns-mbt-fixed-dash1-d8899c5-20260703T022514Z + data = { + ("TP4/DP2/EP8", 64, 256): 0.05354166666666667, + ("TP4/DP2/EP8", 64, 384): 0.05354166666666667, + ("TP4/DP2/EP8", 128, 256): 0.058958333333333335, + ("TP4/DP2/EP8", 128, 384): 0.058958333333333335, + ("TP2/DP4/EP8", 64, 256): 0.058958333333333335, + ("TP2/DP4/EP8", 64, 384): 0.05354166666666667, + ("TP2/DP4/EP8", 128, 256): 0.058958333333333335, + ("TP2/DP4/EP8", 128, 384): 0.058958333333333335, + } + mbt = [256, 384] + topologies = ["TP4/DP2/EP8", "TP2/DP4/EP8"] + + fig, axes = plt.subplots(1, 2, figsize=(11.5, 4.6), sharey=True) + for ax, topo in zip(axes, topologies): + for mns, color in [(64, "#4E79A7"), (128, "#F28E2B")]: + vals = [data[(topo, mns, b)] for b in mbt] + ax.plot(mbt, vals, marker="o", linewidth=2.6, color=color, label=f"MNS={mns}") + for x, y in zip(mbt, vals): + ax.text(x, y + 0.0007, f"{y:.4f}", ha="center", fontsize=9) + ax.set_title(topo) + ax.set_xlabel("max-num-batched-tokens (MBT)") + ax.set_xticks(mbt) + ax.grid(True, axis="y", alpha=0.28) + ax.set_ylim(0.050, 0.062) + axes[0].set_ylabel("req/s/GPU") + axes[1].legend(frameon=False, loc="lower right") + fig.suptitle("C3: MBT effect depends on topology and MNS", fontsize=14, y=1.02) + fig.tight_layout() + save(fig, "knob-conditional-c3-qwen235b-decode-lines") + plt.close(fig) + + +def plot_delta_summary() -> None: + c1_base = { + "TP=1": (2.2833 - 2.1000) / 2.1000 * 100.0, + "TP=2": (3.2833 - 2.2750) / 2.2750 * 100.0, + "TP=4": (2.4417 - 1.2833) / 1.2833 * 100.0, + } + c3_mbt = { + "TP4/DP2\nMNS=64": 0.0, + "TP4/DP2\nMNS=128": 0.0, + "TP2/DP4\nMNS=64": (0.05354166666666667 - 0.058958333333333335) + / 0.058958333333333335 + * 100.0, + "TP2/DP4\nMNS=128": 0.0, + } + c3_mns = { + "TP4/DP2\nMBT=256": (0.058958333333333335 - 0.05354166666666667) + / 0.05354166666666667 + * 100.0, + "TP4/DP2\nMBT=384": (0.058958333333333335 - 0.05354166666666667) + / 0.05354166666666667 + * 100.0, + "TP2/DP4\nMBT=256": 0.0, + "TP2/DP4\nMBT=384": (0.058958333333333335 - 0.05354166666666667) + / 0.05354166666666667 + * 100.0, + } + + panels = [ + ("C1: MNS 8->32\nunder different TP", c1_base, "#59A14F"), + ("C3: MBT 256->384\nunder different context", c3_mbt, "#E15759"), + ("C3: MNS 64->128\nunder different context", c3_mns, "#4E79A7"), + ] + fig, axes = plt.subplots(1, 3, figsize=(16, 5.2)) + for ax, (title, vals, color) in zip(axes, panels): + labels = list(vals.keys()) + y = np.arange(len(labels)) + x = list(vals.values()) + colors = [color if v >= 0 else "#B07AA1" for v in x] + ax.barh(y, x, color=colors) + ax.axvline(0, color="black", linewidth=0.8) + lo = min(x) + hi = max(x) + pad = max(2.0, (hi - lo) * 0.12) + ax.set_xlim(lo - pad, hi + pad) + ax.set_yticks(y, labels=labels, fontsize=8) + ax.invert_yaxis() + ax.set_xlabel("relative change in req/s/GPU (%)") + ax.set_title(title) + ax.grid(True, axis="x", alpha=0.25) + for yi, xi in zip(y, x): + ha = "left" if xi >= 0 else "right" + offset = 0.7 if xi >= 0 else -0.7 + ax.text(xi + offset, yi, f"{xi:+.1f}%", va="center", ha=ha, fontsize=8) + fig.suptitle("The same knob intervention has context-dependent effect size", fontsize=14, y=1.02) + fig.tight_layout() + save(fig, "knob-conditional-delta-summary") + plt.close(fig) + + +def main() -> None: + plot_c1_oat_counterexample() + plot_c1_interaction_residual() + plot_c1_surface() + plot_c3_lines() + plot_delta_summary() + + +if __name__ == "__main__": + main()

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