When two searches feed one ranking, can the first tell the second where not to look?
Hybrid search runs a meaning-based search and a keyword search, then merges their scores into one ranking. Most systems run both searches in full, even though only a handful of results survive the merge.
The key observation is that the first search already reveals how high the bar for the final ranking is. Turning that bar into a minimum score lets the keyword search ignore everything below it.
Often the keyword search can be skipped entirely. When the bar is computed exactly, the final ranking stays the same, and no new indexes are needed.
The same idea applies wherever one stage of a pipeline can bound the work of the next. The paper is under review.