Distilling short-paths of LLM trajectories
LLMs are jagged, and when you put in a prompt to do some task, you are doing some frontier state-space exploration. Once the frontier is explored (it'll make mistakes and then fix them through iteration), an optimal path can be distilled to a generalized plan. This plan can be reproducible, condensed through context ablation, and be ultimately sharable. I know that environment matters for llm plans, and that it doesn't do program synthesis, so I'm not suggesting optimizing tool call chains. But the idea is that you could share a context graph of distilled short paths, which could be opportunistically injected via cheap multi-vector models (colbert/muvera) over some window. There's a bit of handwavy stuff here for how the intents are actually mined and distilled, but that's part of the idea validation process.
This would be able to speed up LLM processing and reduce AI spend considerably for everyone. I think a crowdsourcing model could work, tho I don't see too many LLM users being the community supporting altruistic type.