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

With no annotations, the description carries the burden, and it does disclose that this is a deterministic pure computation (formula given) with a pricing/quota constraint ('5 free trial calls per signed wallet'). It does not state input types (schema oddly declares strings) or output format, so the behavioral picture 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?

Front-loaded with the tool name and purpose in one dense sentence; the quota note is tacked on but short. No filler, though the formula notation makes the single sentence heavy.

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 four-input deterministic calculation with no output schema, the description supplies all parameters and the exact computation, which is sufficient for correct invocation. Only the numeric/string typing and return shape are unaddressed.

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 0% and the schema provides only bare names, so the description must compensate — and it does, naming all four parameters (beta, taxRate, debt, equity) and showing each one's role in the formula, including that debt and equity form a ratio. It stops short of clarifying units or that values may be passed as strings.

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?

States a specific verb (computes) and resource (levered beta) and spells out the exact formula beta*(1+(1-taxRate)*debt/equity), which pins down the direction of the transformation unambiguously. It does not explicitly name the inverse sibling x402-beta-unlevered, so an agent must infer the distinction from the formula alone.

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 statement of when to use this versus x402-beta-unlevered or other finance tools, and no prerequisites or context requirements. Usage is only implied by the operation itself.

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