ReVEL clusters candidate heuristics into behaviorally coherent groups, then feeds compact feedback to an LLM that iteratively refines solutions. The framework couples multi‑turn reasoning with an evolutionary algorithm, turning brittle one‑shot code synthesis into a robust heuristic‑evolution loop. Researchers can now generate domain‑specific strategies for NP‑hard problems with minimal human expertise. This method could streamline algorithm design across combinatorial domains.