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

With no annotations, the description carries the full burden, and it does disclose the core behavior: the series is sorted ascending and n+1 cumulative-share coordinates are returned, which tells the agent the output shape. However, it says nothing about edge cases (negative or zero values, ties), error behavior, or the payment/signing requirement implied by "per signed wallet."

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?

One front-loaded sentence that explains the computation before the promotional tail. The free-trial emoji clause is marketing noise, but it is brief and does convey a real payment constraint.

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 one-parameter math tool with no annotations and no output schema, the description covers purpose and output shape but omits input encoding and edge-case behavior. It is minimally adequate rather than complete.

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% with a single required-free "values" string parameter, so the description must specify the input encoding. It only says "a numeric series," leaving open whether that is a comma-separated string, a JSON array, or whitespace-delimited — a real risk of malformed calls.

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 gives a specific verb and resource ("Computes Lorenz curve points x,y from a numeric series") and even details the algorithm (ascending sort, n+1 cumulative-share coordinates). It is clearly identifiable against most siblings, though it never names the closest relative, x402-gini-coefficient, which computes a related inequality measure from the same kind of input.

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 statement of what inputs are appropriate (e.g. positive values only), and no routing to alternatives such as x402-gini-coefficient for a single inequality scalar. The only conditional sentence is about free trial calls, which is commercial rather than usage guidance.

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