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

The description adds behavioral context beyond the annotations: it is a paid x402 call at $0.001 USDC per successful call on Solana, and the same operation is available over HTTPS. The read-only, idempotent, non-destructive annotations already cover the safety profile. It does not explicitly state the return type or out-of-range behavior.

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 definition is short and front-loaded: property first, examples next, then domain, pricing, and endpoint. Every sentence supplies useful information for invoking or interpreting the tool, with no wasted preamble.

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?

For a simple read-only predicate with one parameter and no output schema, the description is largely complete: it defines the property, gives examples, bounds n, and discloses payment/endpoint details. The only minor gap is that it does not explicitly say the result is a boolean true/false value.

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?

There is one parameter, n, with 0% schema description coverage. The description supplies the valid domain '1 to 1000000', but that duplicates the schema's minimum/maximum constraints and does not add much semantic detail about n beyond what the property definition implies.

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 clearly states the specific number-theoretic predicate: whether n is composite and coprime to its divisor sum. The examples make the intended true/false use concrete. It does not explicitly differentiate from sibling tools such as duffinian_count, duffinian_next, or duffinian_sum, so it falls short of a 5.

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 implied by the predicate framing and the range 'n runs from 1 to 1000000', and the examples show positive/negative cases. However, there is no explicit guidance on when to use this versus duffinian_count, duffinian_gcd, duffinian_next, or duffinian_sum.

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