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

Annotations already declare readOnlyHint, idempotentHint, and destructiveHint=false, so the safety profile is covered. The description adds important behavior beyond that: it is a paid x402/Solana call costing $0.001 per successful invocation and has an HTTPS endpoint. It does not detail auth or failure behavior, but the cost and transport context are significant.

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 definition is front-loaded: operation first, then examples, bounds, and payment/transport details. Each sentence adds useful information, with no filler.

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 one-parameter math tool with no output schema, the description covers the operation, valid range, illustrative outputs, cost, and endpoint. It does not formally define the lower Wythoff sequence or state the return type, but the examples make the expected result clear enough.

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%, so the description must carry parameter meaning. It clarifies that n is the upper summation index starting at 1 and gives concrete input-output examples, though the stated range 1..100000 duplicates the schema's minimum and maximum.

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: the sum of the lower Wythoff numbers from index 1 through n. The examples for n=1, n=5, and n=10 pin down the cumulative-sum semantics and distinguish this from siblings like wythoff_lower or wythoff that return individual terms.

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 explicit guidance on when to use this instead of alternatives such as wythoff_lower, wythoff, or wythoff_upper. The only alternative mentioned is the same tool over HTTPS, which is a transport option rather than a usage guideline.

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