compute_euler_gamma_harmonic

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

No annotations are provided, so the description carries full burden. It states what mathematical constant is computed and the method used, but doesn't disclose important behavioral aspects: what precision/accuracy to expect, computational complexity, whether it's an approximation or exact calculation, error handling for invalid inputs, or what the output format will be. For a computational tool with no annotations, this is a significant gap.

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 with the core purpose. The single sentence efficiently communicates what constant is computed and the method used. The parenthetical classification could be considered extraneous but doesn't significantly detract from conciseness.

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?

For a computational tool with 1 parameter, no annotations, and no output schema, the description is incomplete. It explains what is computed but not how (parameter usage), what to expect as output, accuracy considerations, or limitations. The presence of a sibling tool 'euler_gamma' without differentiation further reduces completeness.

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. The tool description doesn't mention this parameter at all, leaving it completely undocumented. Given the mathematical context, 'terms' likely refers to the number of terms in the harmonic series approximation, but this is not stated. With 0% schema coverage and no parameter information in the description, this is inadequate.

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 computes the Euler-Mascheroni constant γ using the harmonic series method, specifying the mathematical formula γ = lim(n→∞) (H_n - ln(n)). It distinguishes itself from the sibling tool 'euler_gamma' by explicitly mentioning the harmonic series approach. However, it doesn't explain how this differs from other possible methods for computing γ.

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. There's a sibling tool named 'euler_gamma' with no description provided, so it's unclear whether that tool uses a different method or serves a different purpose. The description mentions 'Domain: arithmetic, Category: mathematical_constants' but this is classification rather than usage guidance.

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