sylvester_expansion_of_one

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

No annotations are provided, so the description carries the full burden. It mentions the mathematical method ('Sylvester's sequence') but doesn't disclose behavioral traits such as computational complexity, output format, error handling, or limitations (e.g., valid ranges for 'terms'). For a tool with no annotations, this leaves significant gaps in understanding its operation.

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 and front-loaded, stating the core purpose in one sentence. The domain/category tags add minimal but relevant context without verbosity. However, it could be more structured by explicitly addressing parameters or usage.

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 no annotations, 0% schema coverage, and no output schema, the description is incomplete. It explains the mathematical goal but lacks details on parameters, behavior, output, and practical usage, making it inadequate for a tool with one undocumented parameter.

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 1 parameter ('terms') with 0% description coverage, and the tool description provides no information about it. The description doesn't explain what 'terms' represents (e.g., number of unit fractions, maximum value, constraints), 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 clearly states the tool's purpose: 'Express 1 as sum of unit fractions using Sylvester's sequence.' It specifies the verb ('Express'), resource ('1'), and method ('using Sylvester's sequence'), though it doesn't explicitly differentiate from sibling tools like 'egyptian_fraction_decomposition' or 'unit_fraction_sum' beyond the domain/category tags.

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 on when to use this tool versus alternatives. The description includes domain/category tags ('arithmetic', 'egyptian_fractions'), but these are generic and don't specify prerequisites, constraints, or comparisons to sibling tools like 'egyptian_fraction_decomposition' or 'shortest_egyptian_fraction'.

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