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

With no annotations, the description carries the full behavioral burden. It discloses the computation rule and a wallet-signed free-tier condition, but says nothing about expected units, valid ranges, error behavior, or the response shape — all material for a numeric calculator.

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 and short: the definition and formula come first in one clause. The trailing emoji and '5 free trial calls per signed wallet' promo adds noise that isn't needed to select or invoke the tool.

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 simple two-input math tool with no output schema and no annotations, the formula covers the core semantics. However, missing units on string inputs and an unstated return type leave real ambiguity an agent cannot resolve from any other field.

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% for two string-typed parameters, so the description must compensate. It implicitly maps both parameters through the formula (frequency and inductance), but gives no units (Hz vs rad/s, H vs mH) and no format hints, so it only partially closes the gap.

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 (inductive reactance) and even supplies the formula 2πfL, which unambiguously separates it from the adjacent x402-capacitive-reactance sibling. It stops short of explicitly naming or contrasting that sibling, so it just misses a 5.

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 when-to-use guidance: no mention of AC circuit analysis context, no prerequisites, and no statement of when a caller should prefer this over other reactance/impedance tools. The only 'usage' text is a promotional free-trial note, which is not selection guidance.

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