periodic_continued_fractions

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

No annotations are provided, so the description carries the full burden of behavioral disclosure. It mentions 'Analyze periodic structure' but does not specify what the analysis entails, what the output might look like, or any constraints like input validation or performance characteristics. This leaves significant gaps in understanding the tool's behavior.

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 concise with two parts: the core function and domain/category. It is front-loaded with the main purpose, but the domain/category annotation adds minimal value and could be considered slightly redundant in this context.

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?

Given the complexity of analyzing periodic continued fractions, no annotations, no output schema, and 0% schema description coverage, the description is inadequate. It lacks details on input semantics, expected output, or behavioral traits, making it incomplete for effective tool use.

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 has 0% description coverage, with one parameter 'numbers' of type array of integers. The description does not explain what 'numbers' represents (e.g., coefficients of a quadratic irrational, a sequence of continued fraction terms) or provide any semantic context, failing to compensate for the lack of schema documentation.

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 the tool 'Analyze periodic structure of quadratic irrational continued fractions' which provides a specific verb ('Analyze') and resource ('periodic structure of quadratic irrational continued fractions'), but it does not distinguish from sibling tools like 'continued_fraction_expansion' or 'cf_convergence_analysis', making the purpose somewhat vague in context.

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 explicit guidance on when to use this tool versus alternatives is provided. The description includes a domain and category ('Domain: arithmetic, Category: continued_fractions'), but this is too general to offer practical usage instructions or distinguish it from other continued fraction tools in the sibling list.

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