glaisher

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 indicates this is a read-only operation (implied by 'Get'), but does not disclose other behavioral traits such as performance characteristics, error handling, or output format. The description adds some context about the constant's mathematical relationships, but lacks details on how the tool behaves beyond returning a value.

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 highly concise and front-loaded: it immediately states the tool's purpose in the first clause, followed by supplementary mathematical context and domain tags. Every sentence earns its place by providing relevant information without redundancy or fluff.

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 tool's simplicity (zero parameters, no annotations, no output schema), the description is adequate but minimal. It explains what constant is returned and its mathematical context, which is sufficient for basic use. However, it does not specify the output format (e.g., numeric precision, data type) or any limitations, leaving some contextual gaps for an agent.

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 tool has zero parameters, and the input schema has 100% description coverage (though empty). The description does not need to explain parameters, and it correctly omits any parameter discussion. This meets the baseline for zero parameters, as there is no schema information to compensate for.

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: 'Get the Glaisher-Kinkelin constant A ≈ 1.28243.' It specifies the exact mathematical constant being retrieved, including its approximate value. However, it does not explicitly differentiate from siblings like 'e', 'pi', or 'golden_ratio', which also return constants, though the constant name itself provides inherent differentiation.

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 implies usage by stating the constant's mathematical context ('Related to Barnes G-function and hyperfactorials') and domain/category tags, which suggest when this tool might be relevant. However, it does not provide explicit guidance on when to use this tool versus alternatives (e.g., other constant-retrieval tools like 'e' or 'pi'), nor does it mention any prerequisites or exclusions.

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