parametric_solutions_diophantine

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 states the tool generates parametric solutions but does not disclose behavioral traits like output format, error handling, computational limits, or whether it requires specific input constraints (e.g., integer ranges). This is inadequate for a tool with 5 parameters and no output schema.

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, consisting of a single sentence that directly states the tool's purpose. The domain and category annotations are efficiently appended. There is no wasted text, though it could be more informative.

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 (5 parameters, no annotations, no output schema), the description is incomplete. It does not explain the tool's behavior, parameter meanings, or output structure. While it states the purpose, it lacks necessary details for effective use, especially compared to richer sibling tools.

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 schema description coverage is 0%, and the description adds no information about parameters. It does not explain what 'a', 'b', 'c', 't_min', or 't_max' represent, their roles in the Diophantine equation, or any constraints. This fails 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: 'Generate parametric solutions to linear Diophantine equation.' It specifies the verb ('Generate'), resource ('parametric solutions'), and domain/category context. However, it does not explicitly differentiate from sibling tools like 'solve_linear_diophantine' or 'count_solutions_diophantine', which limits the score.

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. It mentions the domain and category but does not specify scenarios, prerequisites, or comparisons with sibling tools such as 'solve_linear_diophantine' or 'diophantine_analysis'. This leaves usage context unclear.

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