Three fixes from the B3 audit:
1) joined_analysis.hotspot_index used sorted[n//2] as median, which
returns the ~60th percentile for n=8 (even-length). Systematically
under-states the hotspot index. Recomputed values:
lmetric 2.238 -> 2.253 (+0.7%)
load_only 1.140 -> 1.294 (+13.5%)
sticky 2.349 -> 2.728 (+16.1%)
unified 3.350 -> 3.667 (+9.5%)
capped 1.937 -> 2.020 (+4.3%)
Qualitative ranking preserved; "capped only modestly reduces hotspot"
story holds with ~10% drop instead of the previously reported 13%.
Added test_hotspot_index_uses_true_median_for_even_n to lock in the
fix.
2) b3_analyze.sh's pct() helper used floor-indexed percentile
sorted[int(p*(n-1))], inconsistent with metrics._percentile and
joined_analysis._percentile which both use linear interpolation.
Now matches.
3) b3_sweep.sh's capped step called run_policy "capped", but the
proxy's argparse has no "capped" choice, so the hot-sweep variant
would have crashed on this step. The actual capped data was
produced via b3_isolated_policy.sh with --policy lmetric. Replace
the broken inline call with an explicit launch_proxy lmetric +
inline replayer block so the sweep script matches the data path
it documents.
Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
Gahow Wang
0e82612100