Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
With full schema coverage, complete annotations, and an output schema, the description only needs to cover purpose and method, which it does. It omits Riegel formula caveats (e.g., applicability range, exponent assumptions) and sibling routing, but those gaps are minor given the rich structured metadata.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.