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

Annotations already declare readOnlyHint=true, idempotentHint=true, openWorldHint=true, and destructiveHint=false. The description adds valuable behavioral context beyond annotations: the tool is paid at $0.001 USDC per successful call via x402 on Solana and is also exposed over HTTPS. It does not contradict the annotations and adds important cost/access information.

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 definition, then gives examples, range, price, and HTTPS endpoint. Every sentence contributes useful information for understanding or invoking the tool, with no redundant filler.

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 math tool, the description covers the concept, examples, valid range, payment cost, and alternative HTTPS access. It lacks an explicit return-format statement and failure-mode details, but the examples make the return value clear enough, and annotations cover safety characteristics.

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 meaning for the single parameter n. It does state that n runs from 1 to 1000 and gives worked examples that map n to complexity values. However, the range is repeated from the schema constraints, and the description does not fully document parameter behavior beyond what the schema already declares structurally.

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, 'integer complexity of n', and defines it as the fewest 1s added and multiplied to reach n. Examples such as '6 is 5' make the output concrete. It does not explicitly distinguish this single-value tool from siblings like complexity_count, complexity_sum, or complexity_max, so it falls short of the highest clarity.

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 input range for n but does not say when to use this tool versus alternatives such as complexity_count, complexity_sum, or complexity_max. It implies usage by defining the operation, but provides no explicit selection guidance or exclusions.

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