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

Annotations already declare readOnly, idempotent, openWorld and non-destructive, so the safety profile is covered. The description adds genuinely non-obvious operational facts: the per-call price of $0.001 USDC via x402 on Solana and an equivalent HTTPS endpoint. It does not describe error behavior for out-of-range n, but that is minor.

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 and example lead, followed by the parameter range and then cost/transport details. Every sentence carries information, though the pricing and endpoint sentences could arguably move to a shared preamble across this large tool family.

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 single-parameter pure-math tool with no output schema, the description supplies the definition, a sanity-check example, the parameter domain, and billing/transport specifics. Little an agent needs in order to call it correctly is missing, apart from behavior on invalid n.

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%, so the description carries the burden, and it explains that n is the upper summation limit inclusive of k=0, which is more than the bare integer in the schema. The 0..100000 bound is repeated from the schema rather than extended, so it is not a 5.

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 named mathematical object and what is computed: the Golay-Rudin-Shapiro partial sum from k=0 through n. An agent knows exactly what value comes back. It does not explicitly contrast with the sibling rudin_shapiro, leaving the agent to infer that this is the cumulative-sum variant.

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?

Usage is implied by the mathematical definition and the worked example (n = 3 gives 2), and the domain of n is stated. There is no explicit guidance on when to choose this over rudin_shapiro or other sequence tools, nor any prerequisite/exclusion statements.

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