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

With no annotations, the description carries the full burden. It does disclose genuinely useful behavior: the output range (-1 to 1) and the payment model ('5 free trial calls per signed wallet'). However, it omits what happens for edge inputs (e.g. period of zero or non-numeric strings, since params are typed as strings) and confirms nothing about side effects or determinism.

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?

A single front-loaded sentence that states the computation and its output range, followed by a short pricing suffix. No padding, though the pricing element is tangential to the tool's function.

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 stateless math helper with no output schema, the description is minimally adequate: it conveys the input roles and the output range. It falls short on edge-case behavior and the string-formatted parameter encoding, which is the main gap given 0% schema coverage and no annotations.

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% and both parameters are untyped strings, so the description must compensate. It only loosely maps 'value' to a 'position' and repeats 'period', leaving the string encoding, units, and valid ranges undocumented for both params.

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?

Names the specific resource and operation ('Computes a sawtooth wave value') and states the output domain (-1 to 1), which is enough to distinguish it from siblings like x402-square-wave and x402-triangle-wave by name. It stops short of explicitly contrasting itself with those waveforms, so it is clear but not fully sibling-differentiated.

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 guidance on when a sawtooth waveform is the right choice versus square-wave, triangle-wave, or the many other signal/wave tools in the catalog, and no preconditions or exclusions are given. The only contextual note is the pricing line, which addresses cost rather than usage.

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