Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
For a simple read-only tool with two optional parameters and an output schema, the description is fully sufficient. It covers the active-school context, parameter selection behavior, default behavior, and intended use case. The output schema handles return-value details, so nothing critical is missing.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.