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

No annotations are provided, so the description carries the full burden. It states the mathematical operation but omits any behavioral context such as whether inputs are parsed as numbers, what result is returned, or whether there are side effects. Since this is a pure computation, the missing details are modest but still significant given zero annotation coverage.

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 description is short and front-loaded, but the first phrase 'Chebyshev Distance:' merely repeats the tool name and the second phrase restates it again. It is concise but not fully economical with its wording.

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?

There is no output schema, so the description should clarify the return value, but it does not. Combined with four parameters whose schema descriptions are uninformative and no annotations, the definition leaves an agent without enough context about input format and result type.

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 is 3. However, the schema parameter descriptions are tautological ('X1 to process'), and the tool description adds no meaning beyond the schema, such as coordinate pairing order or numeric format.

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 mathematical operation ('Chebyshev distance between points'), so the agent knows what the tool computes. It does not distinguish this tool from siblings such as x402-chebyshev, x402-manhattan-distance, or x402-distance, which is the only gap.

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 to use this tool versus alternatives. The description does not mention coordinate order, input constraints, or any condition that would select it over x402-chebyshev or x402-manhattan-distance.

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