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+# Stop-A validation (Phase 3) — 2026-06-15
+
+Branch `feat/two-stop`. Stop-A = truncate each probe's replay once the offered
+L-C-A of the replayed prefix converges to the full set (pure L-C-A criterion +
+C-gate). This note records the CPU calibration and the GPU fidelity check.
+
+## 1. Calibration (CPU, no serving)
+
+`scripts/stop_a_calibration.py` on the dash0 0321 10:00–10:10 windows:
+
+| dim | chat (19239 req, hit≈7%) | coder (2451 req, structured reuse) |
+| --- | --- | --- |
+| A | ≥0.95 by frac 0.10 | fast |
+| L | ≥0.96 from frac 0.05 | 0.05=0.75 (heavy tail) → ≥0.94 by 0.20 |
+| **C (slowest)** | noisy, dips (0.50→0.885, 0.55→0.835), stable ≥0.92 only ~0.85 | smooth, stable ≥0.92 by ~0.70 |
+
+Stop fraction (τ_L=τ_A=0.90, W=3):
+
+| τ_c | chat | coder |
+| --- | --- | --- |
+| 0.85 | 0.45 (273s) | 0.45 (255s) |
+| 0.90 | 0.70 (423s) | 0.55 (318s) |
+| 0.92 | 0.85 (513s) | 0.70 (411s) |
+
+Findings:
+- **C is the slowest dimension in both workloads** — reproduces paper §5.2 / Fig 9.
+- **What makes C hard to call converged is signal *noise*, not reuse magnitude.**
+  Low-reuse chat has a sparse/spiky ideal-hit-length series, so its C similarity
+  oscillates and is *harder* to stabilize than the structured, higher-reuse coder.
+  Consequence: a strict τ_c (0.92) gives chat only ~15% saving. A more robust C
+  feature for the low-reuse regime is future work.
+
+## 2. GPU fidelity check (Qwen3-30B-A3B, vLLM 0.11.1, H20)
+
+One full-window run (`adaptive_stop` disabled, `replay_time_scale=1.0`, window
+`chat_w20260311_1000`, 0–8k, out=128), then `scripts/stop_a_validate.py`
+recomputes each probe's convergence prefix and compares the truncated verdict to
+the full verdict — so a single GPU run validates truncation fidelity (no second run).
+
+Trial result: best feasible `sampling_u=0.078125`, request_rate **2.30 req/s**,
+pass_rate 0.973.
+
+Per-probe verdict (τ=0.9):
+
+| τ_c | verdict matches | mean replay saved |
+| --- | --- | --- |
+| 0.85 | 3/4 | 54% |
+| 0.90 | 3/4 | 52% |
+| 0.92 | 3/4 | 38% |
+
+The mismatch is the same probe at every τ_c — the feasibility knee `0.08594`:
+
+```
+thresh    full_pass  prefix_pass  full_feas  prefix_feas
+0.08594   0.946      0.956–0.961  False      True   <- mismatch
+0.07812   0.973      0.987–0.990  True       True
+0.06250   0.986      1.000        True       True
+0.09375   0.268      0.49–0.54    False      False
+```
+
+## 3. Interpretation
+
+- **Stop-A works and saves ~50% of replay** (vs the full 600 s window) while
+  preserving 3/4 probe verdicts. (The paper's ~70% is vs a 30-min fixed baseline;
+  our baseline is the 600 s window, so the percentages are not directly comparable.)
+- **The one failure is a boundary false-positive at the feasibility knee.** At
+  `0.08594` the full window is 0.946 (just below the 0.95 SLO) but the prefix is
+  0.956–0.961 (just above): the *second half* of the window degraded — engine-state
+  drift (KV fill / fragmentation / later-arriving harder requests) that the
+  *offered* L-C-A cannot see. The C-gate did not help because offered-C had
+  converged; the divergence is in the measured pass-rate, not in C.
+- If Stop-A were enabled, the binary search would accept `0.08594`, overestimating
+  the peak sustainable rate by one binary step (~10%).
+
+**This is the boundary jitter we accepted when choosing the pure-L-C-A criterion.**
+The data now argues for revisiting the previously-declined **SLO-boundary guard**:
+keep replaying while the measured pass-rate is within ±δ of the target, even after
+L-C-A converges. It targets exactly this knee case at low extra cost (it only
+extends replay on probes sitting on the feasibility boundary). Recommend adding it
+as a small Stop-A enhancement before enabling Stop-A in production studies.
+
+## Repro
+
+```
+# calibration
+PYTHONPATH=src python3 scripts/stop_a_calibration.py \
+  --jsonl <DIR>/qwen_chat_blksz_64_032109-032111.jsonl --block-size 64 \
+  --window-start 3600 --window-end 4200 --gpu-count 8 --label chat
+# GPU run + fidelity
+PYTHONPATH=src python3 -m aituner.cli study tune \
+  --spec configs/examples/dash0_qwen30b_a3b_stopA_fulldata.json \
+  --store-root .aituner/stopA-fulldata --max-trials 1
+PYTHONPATH=src python3 scripts/stop_a_validate.py \
+  --spec configs/examples/dash0_qwen30b_a3b_stopA_fulldata.json \
+  --store-root .aituner/stopA-fulldata --tau 0.9 --tau-c 0.90
+```