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

With no annotations provided, the description carries the full burden of behavioral disclosure but discloses nothing beyond the tool's name. An agent cannot know whether this computes the inverse CDF, requires a z-score input, or has any side effects.

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 under-specified rather than concise, consisting only of the title phrase repeated. It saves words but at the cost of all meaning.

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 mathematical tool with no annotations, output schema, or parameters, the description should at minimum explain what a normal quantile is and what input it expects. It does neither, leaving an agent unable to decide whether this tool fits the task or how to invoke it.

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 zero parameters, so there is nothing for the description to clarify about individual arguments. However, a tool named 'normal quantile' normally requires a probability input; the empty schema coupled with a silent description leaves this ambiguity unresolved.

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 'Normal Quantile: Normal Quantile' is a pure tautology that restates the tool name without a verb or an explanation of what operation is performed. It does not distinguish this tool from related siblings such as normal-cdf, normal-pdf, or standard-normal-cdf.

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 like standard-normal-cdf or random-normal. There is no context, exclusions, or mention of prerequisites.

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