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

Annotations already cover safety (readOnly, idempotent, non-destructive, openWorld), and the description adds genuinely new behavioral facts: a $0.001 USDC x402/Solana payment per successful call and an alternate HTTPS endpoint. It stops short of stating what an error or payment failure looks like, but the paid-call disclosure is exactly the kind of context annotations cannot carry.

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 identity of the sequence is front-loaded, followed by worked examples, domain, price, and endpoint in compact succession. Every element is useful; only the range restatement is redundant with the schema.

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 single-integer math tool with no output schema, the description conveys the return value only indirectly through example evaluations and never states the return type or behavior for edge cases. The payment/endpoint detail is a plus, but the missing sibling differentiation leaves a real gap given how many Hofstadter-family tools exist.

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 carry the load. It does establish that n is the sequence index and gives the valid domain, but that domain duplicates the schema's min/max, and it never says what the tool returns for a given n beyond the sample values.

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?

Opens with a specific identification: 'Hofstadter's male sequence', and backs it with concrete terms (M(0)=0, M(2)=1, M(5)=3, M(7)=4), so an agent knows exactly which sequence is computed. It does not, however, distinguish itself from near-identical siblings such as hof_male, hof_pair, or hofstadter_f that appear in the tool list.

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 only usage constraint given is 'n runs from 0 to 5000', which merely restates the schema's minimum/maximum. There is no statement of when to pick this over hof_male / hof_female / hofstadter_f, and no note about what happens for out-of-range n.

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