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 behavioral disclosure. It provides none: no mention of what the tool does, what input it uses, what output it produces, or whether it has side effects. 'Empirical Rule' alone is not a behavioral description.

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 short, but this is under-specification rather than true conciseness. It contains no useful content and wastes its only sentence repeating the name. Every word could be replaced by a real functional description without any loss of existing value.

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?

Even with zero parameters, a tool needs to explain what it returns or how it behaves. There is no output schema, no mention of the 68-95-99.7 rule, no description of result shape, and no connection to context. The definition is fundamentally incomplete for an agent attempting to use 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 tool has zero parameters, so the empty input schema already fully defines the invocation surface. Per the zero-parameter baseline, no parameter documentation is needed; the description adds no parameter semantics, but there is also no parameter burden to satisfy.

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 'Empirical Rule: Empirical Rule' is a pure tautology: it restates the tool name without providing a verb, resource, or behavior. It does not say what the tool computes, returns, or how it differs from any of the hundreds of statistical sibling tools.

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 usage guidance whatsoever. The description neither states when to use this tool nor distinguishes it from relevant alternatives such as get_stats, x402-stats, or x402-standardize. An agent has no basis for selecting this tool over any sibling.

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