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

There are no annotations, so the description carries the full burden of behavioral disclosure. It does disclose the default root value and the optional nature of the root parameter, but it omits output format, numeric constraints, and handling of edge cases like negative bases or fractional roots.

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 compact and front-loaded: it states the operation first, then the parameters. Every sentence is useful, and the redundant 'Nroot:' prefix is minor and does not undermine clarity.

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 an empty input schema and no output schema or annotations, the description must fully compensate. It mentions the parameters but does not explain how they map to actual JSON fields, what the response looks like, or error behavior. An agent cannot reliably construct a valid invocation from the schema alone.

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 input schema is empty, so the description is the only source of parameter meaning. It names 'value' and 'root', and clarifies the default of 2 for root. However, it does not specify data types, ranges, or required flags.

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 clearly states the tool's function: calculating the nth root of a value, with a default of square root. It uses a specific verb and resource, though it does not explicitly distinguish itself from sibling tools like x402-sqrt2 or x402-sqrt3.

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?

No guidance is provided about when to use this tool versus alternative math or root-related tools. The description gives invocation instructions but no selection criteria, exclusions, or comparisons to siblings.

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