sympy_perfect_power

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

No annotations provided, so the description must fully disclose behavior. It only states the check purpose but omits details like return type (boolean), input constraints (e.g., positive integers only), or error handling for invalid inputs.

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 a single sentence, front-loaded with the core action. However, it is too terse, sacrificing necessary detail for brevity. A slightly expanded description would improve usefulness.

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 simple nature of the tool and existence of an output schema (not shown), the description fails to explain what a perfect power is, how to interpret the result, or how it relates to sibling tools like sympy_isprime. Incomplete for a production tool.

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?

Schema coverage is 0%—no parameter description. The description only mentions 'n' in context of being a perfect power, but does not specify expected format (string representation of integer, symbolic expression) or constraints.

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 checks if n is a perfect power. It uses a specific verb-resource pair, distinguishing it from sibling tools like sympy_isprime and sympy_is_square, though it could explicitly define 'perfect power' for clarity.

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?

No guidance on when to use this tool versus alternatives. The sibling list includes sympy_isprime and sympy_is_square, but the description does not differentiate or provide when/when-not advice.

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