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

With no annotations, the description carries the behavioral burden and does disclose two meaningful behaviors: exact equality is enforced and floats are refused. It does not state what happens on success/failure, whether normalization occurs, whether the operation is read-only, or what output is returned, so transparency is partial.

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?

Two tight sentences front-load the identifier and the core rule. There is no filler, no restatement of the tool name, and each sentence contributes new information.

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 verification tool with no output schema and no annotations, the description is too sparse. It omits return/result semantics, error behavior, the acceptable format of fraction, and clarification of optional parameters. An agent would likely need to guess or experiment to call it correctly.

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 description coverage is 0%, so the phrase 'fraction must equal M/N exactly' is the only semantic link for the parameters: it implies M and N are the numerator/denominator and fraction is the value to compare. This is useful but incomplete because it does not specify the expected string representation, integer constraints, or why all parameters are optional in the schema.

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 tool name supplies the verb ('verify') and resource ('amplitude estimation'), while the description sharpens the purpose with a concrete invariant: fraction must equal M/N exactly and floats are refused. This helps distinguish it from verify_amplitude_amplification and other verify_* siblings, though the description lacks an explicit standalone verb phrase.

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?

Usage is implied: this tool is for verifying amplitude estimation results where an exact rational fraction M/N is expected and float inputs are not allowed. However, it gives no explicit when-to-use guidance, no exclusions, and no comparison to alternatives such as verify_amplitude_amplification, leaving the agent to infer routing from context.

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