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prove_helper Refactors the NIFS folding sumcheck to use DMR at three levels: - Inner: accumulates e[j] × v[j] over j (0..left) - Middle: accumulates f[i] × inner_result over i (0..right) - Outer: accumulates w[pair_idx] × prove_helper_result over pairs Reduces Montgomery reductions from O(pairs × right × left) to O(pairs × right + pairs + 1) for the eq-polynomial weighting.
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Add two-level delayed modular reduction to NeutronNova NIFS's prove_helper
Refactors the NIFS folding sumcheck to use DMR at three levels:
NeutronNova Results with DelayedModular Reduction:
NeutronNova ZK (instances=16, chain=64)
NeutronNova ZK (instances=8, chain=128)
Analysis
What's unchanged
NIFS sumcheck (nifs_sc): ~1.0x (no change)
The NIFS folding rounds have two main costs:
prove_helper(~40%) - Already uses DMR in both branchesLayer folding does one multiply per element and writes back immediately:
DMR requires accumulating multiple products before reducing. Single multiplies with immediate writeback cannot benefit.