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

No annotations are supplied, so the description carries the full behavioral burden, yet it discloses nothing about computation rules (zero/negative value handling), output shape, or errors. The one useful disclosure is the pricing/auth note ("5 free trial calls per signed wallet"), which tells an agent payment is involved.

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 short, but the first sentence is redundant word salad rather than front-loaded substance, and the trial-call note is placed where the definition should be.

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 math utility with no output schema, no annotations, and an unspecified string input, the description should at minimum state the input format and the return value. It covers neither, leaving an agent unable to invoke it confidently.

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?

The single parameter "values" is typed as string with 0% schema description coverage, and the description does not say whether it is comma-separated, JSON-encoded, or space-delimited. With one undocumented parameter at zero coverage, the description fully fails to compensate.

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?

"Geometric Mean: Mean of geometric" restates the tool name in circular form; "Mean of geometric" is not a meaningful definition. An agent unfamiliar with the term learns nothing about what the computation returns or over what domain it operates.

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 guidance on when to use this versus siblings such as x402-mean-of, x402-harmonic-mean, or x402-weighted-mean, nor any mention of input constraints. The only added sentence concerns free trial calls, not usage selection.

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