Feat/recursion#4
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dag.{add,sub,mul}ChildVectorIntoExt and poly.{Ext,}EvaluateLagrangeWithWeights
each ran scalar Go loops over N=2^17 elements on the proving hot path. Switching
to gnark-crypto's `ext.Vector` / `koalabear.Vector` SIMD (AVX-512) entry points:
- mulChildVectorIntoExt was ~15% of Prove CPU (per optim_plan_ideas.md #4);
- (Ext)EvaluateLagrangeWithWeights now uses `InnerProduct[ByElement]` instead
of an accumulating loop.
The base-rail add/sub paths skip the lift-to-E4 indirection and touch only
the B0.A0 coefficient directly, since the lifted value is zero in the other
slots.
Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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