Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations provided, the description must fully convey behavioral traits. It only states 'calculates', implying a read operation, but does not disclose whether it requires authorization, is rate-limited, or has any side effects. For a non-annotated tool, this is insufficient.
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.