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

No annotations are provided, so the description carries the full behavioral burden, and it discloses nothing: no computation semantics, no output shape, no edge-case behavior (e.g. negative or zero n), and no determinism or cost hints.

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 text is minimal, but its brevity stems from under-specification rather than economy; the duplicated name provides no front-loaded meaning. This matches the low-end calibration where a contentless one-word definition scores 2 rather than 5.

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 computational tool with a parameter, no annotations, and no output schema, the description supplies nothing an agent needs to call it correctly. There is no indication of input format, numeric constraints, or return value.

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 nominally 100%, but the only documented parameter is described as "N to process," which conveys no meaning about what n represents (the integer whose partition count is computed) or its valid range. The description adds nothing to resolve this, so the parameter remains effectively undocumented.

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 "Partition Number: Partition Number" merely restates the tool name and adds no verb, resource, or scope information. It is a pure tautology that an agent cannot use to distinguish this tool from the many numeric siblings, notably x402-partition.

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 tool, when not to, or how it differs from the similarly named x402-partition. Nothing indicates the input domain (integer partitions) or when an agent should select this over related tools.

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