Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?

Annotations already cover read-only, idempotent, non-destructive and open-world, so the description's contribution is pricing ($0.001 USDC per successful call via x402 on Solana), the alternate HTTPS endpoint, and the valid index domain. Not disclosing the return shape (tuple vs object) keeps it from a 5.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Is the description appropriately sized, front-loaded, and free of redundancy?

Front-loaded with the definition and examples, then the operational facts (range, price, HTTPS endpoint). Nearly every sentence earns its place, though the duplicated min/max range is redundant with the schema.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

With no output schema, the description still conveys the return via base cases and a sample point, implying a (M(n), F(n)) pair. The main gap is not stating the exact return structure or whether the two sequences are defined by the standard mutual recursion.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 0%, so the description must carry parameter meaning. It does add semantics (n is an index from 0 to 100000, with worked examples at n=0 and n=5), but the range merely restates the schema's min/max and there is no note on what happens at the boundary or for large n.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Does the description clearly state what the tool does and how it differs from similar tools?

States the specific resource: the Hofstadter male and female terms at a single index, with concrete values (M(0)=0, F(0)=1, both 3 at n=5). The 'at the same index' phrasing implicitly distinguishes it from siblings like hof_male and hof_female, though it never names them.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Does the description explain when to use this tool, when not to, or what alternatives exist?

No explicit when/when-not guidance or named alternatives (hof_male, hof_female, hof_q, hof_g all sit nearby). The paired-return framing implies you should use it when you want both terms at once, but that is inference, not instruction.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.