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

No annotations are provided, so the description carries the full behavioral burden, and it discloses nothing: not what is returned, not whether 'value' is a sample index or amplitude, not how 'period' interacts with it, and not whether the call is pure/read-only. The description contradicts nothing but adds zero behavioral context.

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 text is short, but its brevity comes from duplication rather than compression: the same two words appear twice and add no information. Being terse is only a virtue when each token earns its place, which is not the case here.

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 mathematical waveform tool with no annotations and no output schema, the description supplies nothing about domain, period units, sample count, or return shape. An agent has no basis to construct a correct call or interpret the result.

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 100%, so the baseline of 3 applies even though the description itself adds no parameter meaning. It is worth noting that the schema's own wording ('Value to process', 'Period to process') is boilerplate and does not clarify units or semantics, so there was room to add value that the description missed.

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 'Triangle Wave: Triangle Wave' merely restates the tool name (minus the x402- prefix) twice, with no verb and no resource beyond the noun itself. An agent cannot tell from this text whether it evaluates, generates, plots, or samples a triangle wave, nor how it differs from the sibling x402-sawtooth-wave or x402-square-wave.

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?

No when-to-use, when-not-to-use, or alternative-tool guidance is given. With close siblings like x402-sawtooth-wave, x402-square-wave, and x402-step-function present, the absence of any routing hint is a serious gap.

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