Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
With an output schema present, the description need not explain return values, and it covers the search flow, hard limit bounds, and the deprecated deep_search flag. It is close to complete for a search tool; only the interaction between the filter flags is unaddressed, and those are documented in the schema.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.