multiply_matrices_4x4

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 describes a pure computation with no side effects, but does not mention error behavior or safety (e.g., input validation). The omission is acceptable given the mathematical nature, but a higher score would require explicit statements like 'no side effects'.

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 a single sentence that contains all necessary information without any redundant words. It is front-loaded with the action and key details, earning its place.

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?

Given the tool's simplicity (two parameters, no output schema), the description is nearly complete. It explains the operation and matrix convention. A minor gap: it does not explicitly state the return type (another row-major 4x4 matrix), but this can be inferred.

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?

The schema has 50% coverage (first parameter described, second via $ref). The description of 'first' adds meaning beyond the name: 'Row-major 4x4 matrix used with column vectors: output = matrix * vector'. This clarifies the convention, which is crucial for correct usage.

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 clearly states the action (multiplies), the resources (two row-major 4x4 matrices), and the order (first * second) with specific use case (column-vector transforms). It distinguishes from sibling tools like compose_transform_4x4 by noting the matrix convention.

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?

The description includes the context 'for column-vector transforms,' which helps the agent decide when to use this tool. However, it does not explicitly state when not to use it or mention alternatives, though siblings like 'compose_transform_4x4' suggest other options.

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