Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?
With only two parameters, fully detailed schema descriptions, a present output schema, and strong annotations, the description does not need to explain return values or input formats. It covers the one extra decision-relevant fact, the credit cost, making it complete for selection and invocation.
Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.