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

With no annotations and no output schema, the description carries the full behavioral burden, yet it discloses nothing: not that this is a pure deterministic computation with no side effects, not the units or expected numeric format of the radii, and not what shape the result takes. It reveals only the operation's name.

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 single clause is front-loaded and wastes no words, but it also earns essentially nothing: it is a name echo rather than a compressed specification. Brevity here reflects under-specification rather than disciplined conciseness.

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 tool with no annotations, no output schema, and a schema that marks zero parameters as required despite a computation that needs both radii, the description should at minimum state what is returned and what the radii represent. It is not complete enough for an agent to invoke it confidently without additional guessing.

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 per the scoring baseline the schema already documents both parameters ('MajorRadius to process', 'MinorRadius to process'). The description adds no semantic value — no units, no note that majorRadius must exceed minorRadius, no clarification that both are passed as strings — so it stays at the baseline rather than rising.

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 'Torus Volume: Volume of torus' simply restates the tool name verbatim, which is the definition of a tautological purpose statement. An agent learns nothing about scope, units, or how this differs from the sibling x402-torus-surface or x402-sphere-volume that the name alone did not already convey.

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 at all about when to use this tool versus the many other volume/geometry siblings (x402-torus-surface, x402-sphere-volume, x402-ellipsoid-volume, x402-cone-volume). No prerequisites, no context, no exclusions are stated.

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