01Local math expression evaluation to avoid unnecessary LLM round-trips
02Structured reasoning scratchpad with step tracking, confidence scoring, and automatic verification gates
03Query-aware context compression (CPC-style) for efficient handling of extensive reasoning chains
0415 cognitive trap pattern detectors (e.g., additive system, Monty Hall, base rate) with sub-millisecond latency
05Algebraic error detection and progressive simplification hints
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