Plan Cutting spent most of its time on work that never changed the outcome:
many-holed parts paid quadratic shape-pair and ring-containment costs before
any search, every plate was captured twice, and failing plates burned their
whole budget in exhaustive fallback passes that never found a plan on 127
production plates.
- OverlapMaterial: skip native shape pairs whose bounds are clear by more
than the query allowance; gate polygon touch and winding tests on vertex
bounds.
- LeadMaterialSnapshot: gate ring enclosure tests on ring extents when
finding the perimeter and rejecting nested cutouts.
- CuttingPlanBatch: capture each plate once; the kept-order retry derives
from the same capture through CuttingPlanSnapshot.WithPreservedOrder.
- JointCuttingPlanSearch: end the kept-order full pass and the sequence-free
recovery and full passes after FallbackStalls (2) stalls' worth of
expansions when programs are regenerated; plates with only fixed programs
keep the exhaustive search so a refusal stays genuine.
On 127 archive plates (lead-ins cleared, 35" scrap cut-offs) total time fell
from 164 s to 102 s with identical outcomes; the problem-nest corpus gives
the same status and expansion count on every plate.
Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>