Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
With no annotations, the description carries the full burden. It discloses the formula, required inputs with units, and return value units. No side effects are mentioned, but for a pure calculation tool, this is sufficient. No contradictions with annotations (none exist).
Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.