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

Annotations already declare readOnly, idempotent, and non-destructive behavior. The description adds important operational context missing from annotations: a $0.001 USDC charge per successful call via x402 on Solana, plus 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 definition is front-loaded with the core predicate, followed by examples, valid range, and payment/access details. Every sentence is useful and no space 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?

For a simple single-parameter predicate tool, the description covers purpose, examples, input domain, cost, and access path. The boolean return type is implied by 'Whether' and illustrated by examples, but is not stated explicitly, which is a minor gap without an output schema.

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%, so the description must compensate. It says n runs from 1 to 1000000 and gives examples, which clarifies the input domain, but it does not explicitly define n as the number whose exponential divisors are tested or explain the property in parameter terms.

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 a precise mathematical predicate: whether exponential divisors of n sum to 2n, with concrete true/false examples (36, 180 vs 6, 12, 16, 60). An agent can tell it is a boolean property test rather than a computation like exp_sigma, though no sibling is explicitly named.

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?

There is no explicit when-to-use guidance or comparison to alternatives such as exp_divisors or exp_sigma. The purpose implies a test operation, but the description never says when an agent should choose this over those siblings.

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