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 disclosing behavior. It only states the check being performed, with no mention of return format, boolean result, input method, or handling of edge cases. The behavioral surface is essentially undisclosed.

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 extremely short, with no filler or repetition beyond the minor prefix, and the key action is front-loaded. It is concise, though arguably under-specified to the point of being sparse.

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?

The definition is critically incomplete: the input schema is empty, there is no output schema, no annotations, and the description never explains how the two numbers are provided. An agent cannot correctly invoke this tool based on the given information.

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 defines zero properties, so the description's mention of 'two numbers' is the only clue to the intended inputs. It adds some meaning beyond the empty schema, but it fails to name parameters, types, or how the numbers should be passed, leaving the agent unable to construct a valid call.

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 uses a clear verb, 'Check,' and names a specific resource (whether two numbers form an amicable pair), so the core purpose is understandable. However, the leading 'Amicable Pair:' repeats the tool name and adds little, and no detail is given about how the numbers are supplied.

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 guidance on when to use this tool versus alternatives, nor any mention of related tools like divisor-sum checks or other number-theoretic predicates. An agent is given no context for choosing this over similar-sounding siblings.

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