feat: add normalized_cache to UltraCircuitBuilder #1384
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Summary
Closes #1052
This PR introduces a
normalized_cachemechanism to theUltraCircuitBuilderto support memoization of normalized witness variables.Changes
normalized_cacheas a member field inUltraCircuitBuilder.has_normalized(...)get_normalized(...)cache_normalized(...)ExecutionTrace.Motivation
The cache allows the builder to reuse previously computed normalized values, avoiding redundant work and improving performance in cases where normalization is invoked multiple times for the same inputs.