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IBM

MCP Math Server

by IBM

comprehensive_identity_verification

Verify trigonometric identities by testing angles with specified tolerance to confirm mathematical equivalence.

Instructions

Generate a comprehensive identity verification report. (Domain: trigonometry, Category: identities)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
test_anglesNo
toleranceNo
Behavior1/5

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. The description only states what the tool does at a high level ('Generate a comprehensive identity verification report') without explaining what 'comprehensive' entails, what the output looks like, whether it's a read-only or mutating operation, or any performance characteristics. This leaves significant gaps in understanding the tool's behavior.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is very concise—just one sentence with a parenthetical note. It's front-loaded with the main action ('Generate a comprehensive identity verification report'), and there's no wasted text. However, the conciseness comes at the cost of completeness, as it lacks necessary details.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness1/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given the complexity implied by 'comprehensive' and the lack of annotations, output schema, and parameter documentation, the description is severely incomplete. It doesn't explain what a 'report' entails, how verification is performed, or what the user can expect. For a tool with 2 parameters and no structured guidance, this description fails to provide the necessary context for effective use.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters1/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

The input schema has 2 parameters with 0% description coverage, and the tool description provides no information about what 'test_angles' or 'tolerance' mean, their expected formats, or how they affect the verification process. For example, it doesn't clarify if 'test_angles' is a list of angles, a range, or something else, or what 'tolerance' units are. With no parameter information in the description and low schema coverage, this is inadequate.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose2/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description states 'Generate a comprehensive identity verification report' which is a clear verb+resource, but it's vague about what 'identity verification' means in the context of trigonometry. The parenthetical '(Domain: trigonometry, Category: identities)' adds some context but doesn't specify what trigonometric identities are being verified or how. It doesn't clearly distinguish from sibling tools like 'verify_identity' or 'verify_hyperbolic_identity'.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines1/5

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 doesn't mention any prerequisites, constraints, or comparison with sibling tools like 'verify_identity' or 'verify_hyperbolic_identity'. It provides no context for when this tool is appropriate or when other tools might be better suited.

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

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