calkin_wilf_tree

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 states the tool 'generates' something but doesn't clarify what the output looks like (e.g., list of fractions, tree structure), whether it's deterministic, if there are computational limits, or how it handles invalid inputs. The description is too vague about the tool's behavior 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 very concise—a single sentence with additional domain/category tags. It's front-loaded with the core purpose and wastes no words. However, the parentheses with 'Domain: arithmetic, Category: farey_sequences' feel slightly tacked-on rather than integrated, preventing a perfect score.

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 generating a mathematical tree structure, no annotations, no output schema, and minimal parameter documentation, the description is inadequate. It doesn't explain what the output contains, how the tree is represented, or any behavioral constraints. For a tool that likely produces structured mathematical data, this leaves too many gaps for effective 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 one parameter ('levels') with 0% description coverage. The description doesn't mention this parameter at all, so it adds no semantic information beyond the schema. However, since there's only one parameter and the tool's purpose implies it generates tree levels, the baseline score of 3 is appropriate—the schema is minimal but the description doesn't compensate for the lack of parameter 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 levels of Calkin-Wilf tree related to Farey sequences.' It specifies the verb ('Generate'), resource ('levels of Calkin-Wilf tree'), and provides domain context ('Domain: arithmetic, Category: farey_sequences'). However, it doesn't explicitly differentiate from sibling tools like 'farey_sequence' or 'stern_brocot_tree', which prevents a perfect 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 Farey sequences but doesn't explain why one would choose this over tools like 'farey_sequence', 'farey_neighbors', or 'stern_brocot_tree'. There's no mention of prerequisites, typical use cases, or exclusions.

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