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IBM

MCP Math Server

by IBM

ln

Calculate the natural logarithm of a number using base e. This mathematical function computes ln(x) where e^ln(x) = x for arithmetic operations.

Instructions

Calculate the natural logarithm (base e) of a number. Returns ln(x) where e^ln(x) = x. (Domain: arithmetic, Category: general)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
xYes
Behavior2/5

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

No annotations are provided, so the description carries the full burden. It states the tool calculates the natural logarithm and returns a value, but does not disclose behavioral traits such as error handling (e.g., for non-positive inputs), precision, or performance characteristics. The description adds minimal context beyond the basic operation.

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 highly concise and front-loaded: it directly states the tool's purpose in the first sentence, adds a clarifying mathematical identity, and includes domain/category tags. Every sentence earns its place without redundancy or unnecessary elaboration.

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?

Given the tool's low complexity (single parameter, no output schema, no annotations), the description is adequate but incomplete. It covers the basic operation and input semantics but lacks details on output format, error conditions, or mathematical constraints. For a simple arithmetic tool, it meets minimum viability but could be more informative.

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 input schema has 1 parameter (x) with 0% description coverage. The description adds meaning by specifying that x is 'a number' and relates it to the natural logarithm operation, but does not provide details like valid ranges (e.g., x > 0) or examples. With low schema coverage, the description partially compensates but leaves gaps.

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 explicitly states the tool's purpose: 'Calculate the natural logarithm (base e) of a number.' It specifies the mathematical operation (natural logarithm), the base (e), and the input (a number). It also distinguishes from siblings by focusing on natural logarithm rather than other logarithmic functions (e.g., log, log10, log2) or other mathematical operations.

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

Usage Guidelines4/5

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

The description provides clear context for usage by stating 'Calculate the natural logarithm (base e) of a number' and adding a mathematical identity 'Returns ln(x) where e^ln(x) = x.' It implies when to use this tool (for natural logarithm calculations) but does not explicitly mention when not to use it or name alternatives among siblings (e.g., log for base-10, log2 for base-2).

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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