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

No annotations are provided, so the description carries the full behavioral burden and delivers almost nothing beyond the title. It does not say what the output looks like, whether results are seeded/reproducible, or how the two overlapping parameters (rate vs lambda, which denote the same distributional quantity) interact or default when omitted.

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?

A single front-loaded sentence with no padding or repetition. It is efficient, though its brevity stems partly from under-specification rather than discipline.

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?

With no annotations, no output schema, and two interchangeable-sounding optional parameters, the description should explain parameterization and return behavior. It does none of this, leaving the agent unable to call the tool with confidence.

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 nominally 100%, but the parameter descriptions are tautologies ('Rate to process', 'Lambda to process') that convey no semantics. The description adds nothing to resolve the genuine ambiguity of why both rate and lambda exist, whether they are aliases, and which one governs the distribution.

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 states a specific verb and resource: 'Generate a random exponential number.' An agent can understand the operation immediately, but the text offers no differentiation from neighbors like x402-random-normal or x402-exponential-pdf, which occupy adjacent distribution space.

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 indication of when to use this tool versus x402-random, x402-random-normal, or x402-exponential-pdf, nor any note on prerequisites, defaults, or required context. The agent is left to infer usage entirely from the name.

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