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

Beyond the annotations (readOnly, idempotent, openWorld), the description discloses the pricing model ($0.001 USDC per successful call via x402 on Solana) and an alternate HTTPS endpoint, plus the hard domain limit of n <= 12. These are real operational facts an agent needs; it only lacks a note on result format for large values.

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?

The formula and worked values are front-loaded so an agent can validate output, followed by the domain limit, price and endpoint. The five sample values (D(0) through D(5)) are slightly more than strictly necessary but act as useful sanity checks, so little is wasted.

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 should state what comes back. The examples imply a numeric result, but D(5)=31504 suggests D(12) is very large, and the description never says whether the return is an integer, a string, or a factorized form. That is the main gap for a single-parameter computational tool.

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%, but there is only one parameter, and the description explains its role in the summation and reinforces the 0-12 range already in the schema. It adds interpretation (n as the index/upper bound) but no format detail, so this is adequate rather than rich.

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?

The description names the exact resource (the Domb number D(n)) and even spells out its defining sum, so an agent knows precisely what is computed. It does not, however, distinguish itself from close siblings such as domb_term, domb_sum, domb_gcd or domb_mod, so routing among those is left to inference.

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?

Usage is only implied: you supply an index n between 0 and 12 and get back the Domb number. There is no explicit statement of when to prefer this over the domb_* variants (term, sum, gcd, mod), nor any exclusion guidance.

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