verify_derivative

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

With no annotations, the description carries the full burden of behavioral disclosure. It only says 'by computing and comparing' and 'Returns: Verification result', without explaining whether the tool is read-only, how the comparison works, potential failure modes, or the exact return structure. This is insufficient for a verification tool.

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 compact and well-organized with Args, Returns, and Examples. It avoids redundancy and the example clarifies usage, but the parameter descriptions are minimal and repeat names without much elaboration, which is acceptable but not exceptional.

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 large sibling toolset and the absence of an output schema, the description is incomplete. It lacks details about the verification result format, error handling, and how this tool compares to verify_equality, verify_integral, and reverse_verify. More context is needed for an agent to select and invoke it confidently.

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 zero description coverage, so the description is the only source of parameter meaning. It identifies 'function' as the original function, 'claimed_derivative' as the derivative to verify, and notes the default for 'variable'. This adds basic semantics, but does not specify input format (e.g., symbolic strings) beyond the example.

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 a specific verb ('Verify') and resource ('a derivative'), and the example illustrates the function. However, it does not explicitly distinguish from sibling verification tools like verify_integral or verify_equality, so it falls short of a 5.

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 implies the tool is for checking derivative claims but provides no explicit guidance on when to use it versus alternatives. There is no mention of typical scenarios, prerequisites, or exclusions, making it a purely implied usage context.

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