ChatHTN and AlphaEvolve — two 2025 hybrid planners ChatHTN symbolic + LLM decomposer compound task decompose via method library 1. method applies? expand subtasks (provably sound) 2. no method? ask LLM for decomposition 3. validate against operator schema; cache on success AlphaEvolve evolutionary code search seed program + deterministic evaluator 1. ensemble of LLMs proposes mutations 2. evaluator scores each child program 3. keep top-k; mutate; repeat when to use which scheduling, compliance, policy-bound automation HTN (ChatHTN) provable soundness; LLM only expands the method library matrix-mult kernels, compiler passes, scheduling heuristics AlphaEvolve fitness must be deterministic; works when tests / benchmarks are the evaluator open-ended agent tasks ReAct / ReWOO (not these) no operator schema, no machine-checkable fitness; reach for Lessons 01-02 hybrid: HTN at the top level, AlphaEvolve on each primitive operator case-by-case LLMs amplify; they do not own correctness. symbolic layer and evaluator own the hard guarantees.