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

Annotations already declare readOnly, idempotent, non-destructive, and openWorld, so the safety profile is covered. The description adds genuinely non-structured context: the $0.001 USDC x402 payment requirement, its Solana settlement, and an equivalent HTTPS endpoint — all material to an agent deciding whether and how to call it.

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?

It is front-loaded with the definition and then uses three worked values (1→1, 6→5, 43→22) that usefully anchor the output. The pricing and HTTPS sentences are necessary for a paid x402 tool. Slightly dense phrasing but no wasted sentences.

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 one bounded integer parameter, no output schema, and no nested objects, the description supplies enough to call correctly: the meaning of n, its range, sample outputs, and the payment/transport details. Missing only sibling differentiation.

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% for the single parameter, but the description does define n's meaning (the prefix bound, 'through n') and confirms the 0–5000 range that the schema already enforces. It adds interpretation of n but no units or edge-case behavior beyond the range.

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 concrete verb and resource: count positive integers up to n that cannot be formed as combinations of 6, 9, and 20 (the Frobenius/'McNugget' problem). It is clear what is computed, but it never distinguishes itself from the sibling tools mcnugget, mcnugget_count, mcnugget_min, and mcnugget_ways, which an agent must infer from the name alone.

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 statement of when to use this instead of mcnugget_count or mcnugget_ways, no prerequisites, and no exclusion conditions. The only routing hint is the tool name itself.

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