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

Annotations already declare readOnlyHint, idempotentHint, openWorldHint, and destructiveHint=false, so the safety profile is covered. The description adds important behavioral context beyond annotations: the price per successful call, the x402/Solana payment mechanism, and an alternative HTTPS endpoint. It does not cover error behavior or rate limits, but the added payment information is substantial.

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 compact and front-loads the core definition before examples, range, and payment details. Every sentence adds some value, though the pricing and endpoint information could be formatted more distinctly from the mathematical description.

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 one-parameter mathematical tool with rich annotations and no output schema, the description covers the function, examples, range, and cost. It is adequate but misses sibling differentiation and does not explicitly state the return type (integer count), which would help an agent choose correctly among the many number-theoretic counting tools.

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%, and the single parameter n has only machine-readable min/max constraints. The description repeats the range '1 to 1000000' (already in the schema) and gives output examples, but does not further explain what n represents in relation to infinitary divisors or add semantic meaning beyond the schema constraints.

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 states a specific mathematical operation: counting the infinitary divisors of n. It includes concrete examples (6→4, 16→2, 24→8) that clarify the function. However, it does not distinguish this from close siblings like unitary_count or biunitary_count, leaving an agent to rely on prior mathematical knowledge.

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 gives the valid range for n and the cost per call, but provides no guidance on when to use this tool versus alternatives such as unitary_count, biunitary_count, or divisor_count. There is no explicit when-to-use or when-not-to-use statement.

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