https://deepmind.google/discover/blog/funsearch-making-new-d... seems to be a way. The LLM is the creative side, coming up with ideas-and in which a case the “mutation’ caused by hallucinations may be useful. Combined with an evaluation evaluator to protect against the bad outputs.

Pretty close to the idea of human brainstorming and has worked. Could it do orbital math? Maybe not today but the approach seems as feasible as the work Mattingly did for Apollo 13.