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

Annotations already declare readOnlyHint, idempotentHint, openWorldHint, and destructiveHint=false. The description adds useful operational context beyond annotations: pricing at $0.001 USDC per successful call, x402/Solana payment context, and an equivalent HTTPS endpoint.

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 description is front-loaded with the core purpose, followed by examples, input bounds, and operational/payment details. It is compact and no sentence appears redundant.

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 one-parameter math tool without an output schema, the description provides enough examples to infer the return value and enough detail to invoke the tool correctly. It does not formally define 'integer complexity' or the response shape, but the examples and range make the tool usable.

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 description coverage is 0%, but the single parameter is handled well: n is described as the inclusive upper bound of the range, with examples at n=1, n=10, and n=12 that show how the result changes. The schema already enforces integer type and 1..1000 bounds, so the description adds the missing semantic role of 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?

The description clearly states that the tool returns the largest integer complexity over the inclusive range 1 through n, with concrete examples that disambiguate the output. It is specific but does not explicitly distinguish itself from sibling tools such as complexity, complexity_count, complexity_least, or complexity_sum.

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?

The description explains what the tool computes and the valid range for n, but gives no explicit when-to-use guidance, exclusions, or sibling-tool alternatives. Usage is only inferred from the tool purpose itself.

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