egyptian_fraction_properties

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 analysis but does not specify what properties are examined (e.g., length, uniqueness, optimality), the output format, or any constraints like input validation. This leaves significant gaps in understanding how the tool behaves beyond its basic purpose.

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, consisting of a single sentence followed by domain and category tags. It is front-loaded with the main purpose, though the tags could be integrated more smoothly. There is no wasted text, making it efficient, but it lacks depth that might be necessary for 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?

Given the complexity of Egyptian fractions, no annotations, no output schema, and low schema coverage, the description is incomplete. It does not compensate for missing structured data by explaining what properties are analyzed, the return values, or usage scenarios. This makes it inadequate for effective tool selection and invocation.

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 'denominators' as an array of integers. The description does not explain what this parameter represents (e.g., a list of denominators in an Egyptian fraction), its expected format, or any constraints (e.g., positive integers, sorted). Without this semantic context, the parameter remains poorly defined.

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 properties of an Egyptian fraction decomposition,' which provides a clear verb ('analyze') and resource ('Egyptian fraction decomposition'). However, it does not distinguish from sibling tools like 'egyptian_fraction_decomposition' or 'egyptian_expansion_lengths,' making it vague about what specific properties are analyzed. The domain and category tags add context but do not refine the purpose.

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 provides no guidance on when to use this tool versus alternatives. With siblings such as 'egyptian_fraction_decomposition' and 'shortest_egyptian_fraction,' there is no indication of when this analysis tool is appropriate, leaving usage entirely implied. This lack of explicit context reduces its helpfulness.

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