Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a hierarchical catalog lookup tool, the description is complete enough: it explains the main return fields, the meaning of parent and child relationships, and the root-level invocation. The optional parameters are documented in the schema, and an output schema exists, so return value details are covered elsewhere. Minor gaps like invalid-code handling are not essential for correct invocation.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.