pythagorean_calc

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

With no annotations available, the description must carry the full burden of explaining behavior. It only mentions a cost and a broad category, but does not describe the result, any side effects, or required inputs. The cost hint is not enough to understand the tool's 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 very short, but this is under-specification rather than intentional conciseness. The first clause restates the tool name without adding information, and the rest does not provide useful operational guidance, so the brevity is not effective.

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 vague schema, the absence of an output schema, and a long list of sibling math/finance tools, this description is entirely insufficient. It lacks enough information for an agent to select the tool, construct a valid request, or understand the response.

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 provides only a generic 'params' object with no underlying structure, and the description adds no details about expected keys or values. The agent cannot determine what to pass to the tool, and the description fails to compensate for the schema's lack of specificity.

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 opens by restating the tool name ('pythagorean calc') and then labels it as a 'Finance & Math tool,' which is a vague category rather than a specific function. It fails to mention that the tool computes the Pythagorean theorem or calculate a hypotenuse/distance, and does not distinguish it from the many sibling math and finance calculators.

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?

There is no information about when to use this tool or when to prefer an alternative. The only extra detail is a cost, which does not provide usage context or decision guidance.

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