verify_identity

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

No annotations are provided, so the description carries the full burden of behavioral disclosure. It states the tool performs numerical verification at test points, which implies a read-only, computational operation without side effects. However, it lacks details on error handling, performance characteristics (e.g., computational cost), output format, or limitations (e.g., accuracy of numerical methods), leaving significant gaps in understanding how the tool behaves.

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 extremely concise and front-loaded, consisting of a single sentence that directly states the tool's purpose and domain. There is no wasted language or unnecessary elaboration, making it efficient for quick comprehension by an AI agent.

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 complexity of verifying trigonometric identities (which involves mathematical computations and potential numerical errors), the description is incomplete. With no annotations, 0% schema coverage, and no output schema, it fails to provide essential details: parameter meanings, behavioral traits (e.g., tolerance interpretation), and output structure. This leaves the agent poorly equipped to use the tool effectively in practice.

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 description coverage is 0%, meaning none of the three parameters (identity_name, test_angles, tolerance) are documented in the schema. The description does not explain what these parameters mean, their expected formats (e.g., how test_angles should be specified), or their roles in the verification process. This leaves the agent with no semantic understanding beyond parameter names, failing to compensate for the schema gap.

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 tool's purpose: 'Verify a trigonometric identity numerically at multiple test points.' It specifies the verb ('verify'), resource ('trigonometric identity'), and method ('numerically at multiple test points'), making the intent unambiguous. However, it does not explicitly differentiate from sibling tools like 'comprehensive_identity_verification' or 'verify_sum_difference_formulas', which prevents a score of 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 provides minimal guidance: it mentions the domain ('trigonometry') and category ('identities'), which implies context but does not specify when to use this tool versus alternatives. There is no explicit mention of when-not-to-use scenarios or direct references to sibling tools, leaving the agent with insufficient direction for tool selection.

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