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IBM

MCP Math Server

by IBM

sinh

Calculate hyperbolic sine values with high precision and overflow protection for trigonometric and hyperbolic function computations.

Instructions

Calculate hyperbolic sine with high precision and overflow protection. (Domain: trigonometry, Category: hyperbolic)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
xYes
Behavior3/5

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

With no annotations provided, the description carries the full burden of behavioral disclosure. It mentions 'high precision and overflow protection', which are valuable behavioral traits beyond basic calculation. However, it doesn't describe error handling, input constraints beyond being a number, or what happens with invalid inputs like NaN or infinity.

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

Conciseness5/5

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

The description is extremely concise and front-loaded with essential information in a single sentence. Every word earns its place: 'Calculate hyperbolic sine' states the core function, 'with high precision and overflow protection' adds important behavioral context, and the domain/category in parentheses provides additional classification.

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

Completeness3/5

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

For a mathematical function with 1 parameter, no annotations, and no output schema, the description is minimally adequate. It covers the basic purpose and some behavioral traits but lacks details about parameter semantics, return values, error conditions, and usage context relative to sibling tools. The absence of output schema means the description should ideally mention what the tool returns.

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

Parameters3/5

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

The schema description coverage is 0%, but the description doesn't add any parameter-specific information beyond what's implied by the function name. It doesn't explain what 'x' represents (angle in radians vs degrees, real vs complex number) or any constraints on its value. With 0% schema coverage and 1 parameter, the baseline would be 4 if the description fully compensated, but it doesn't.

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

Purpose5/5

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

The description clearly states the tool's purpose with a specific verb ('calculate') and resource ('hyperbolic sine'), and distinguishes it from siblings by specifying 'high precision and overflow protection'. It also provides domain/category context ('trigonometry, hyperbolic'), which helps differentiate from other mathematical functions in the sibling list.

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

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description provides no guidance on when to use this tool versus alternatives. While it mentions the domain/category, it doesn't specify when to choose hyperbolic sine over other trigonometric or hyperbolic functions, nor does it mention any prerequisites or constraints for usage.

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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