Linear phase shows "Linear: 12/36 angles, 45° = 48 parts" with a
running count. Pairs phase shows "Pairs: 8/50 candidates, best = 252
parts" tracking the best result seen so far. Reports on every
completion so the UI always reflects current state.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>