atanh
Compute the inverse hyperbolic tangent of a number in (-1, 1) with optional precision.
Instructions
Compute inverse hyperbolic tangent.
Input Schema
| Name | Required | Description | Default |
|---|---|---|---|
| x | Yes | Number in (-1, 1). | |
| precision | No | Optional precision. |
Compute the inverse hyperbolic tangent of a number in (-1, 1) with optional precision.
Compute inverse hyperbolic tangent.
| Name | Required | Description | Default |
|---|---|---|---|
| x | Yes | Number in (-1, 1). | |
| precision | No | Optional precision. |
Does the description disclose side effects, auth requirements, rate limits, or destructive behavior?
No annotations are present, and the description does not disclose behavioral traits such as domain restrictions (input must be in (-1,1)), error handling, or precision effects. The schema covers the domain, but the description adds no extra context.
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 a single highly concise sentence, front-loaded with the core action. No extraneous words, earning its place.
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?
For a simple math function with two parameters and no output schema, the description is adequate but minimal. It could mention the domain restriction or precision behavior, but the schema compensates somewhat.
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?
Schema description coverage is 100%, so the baseline is 3. The description does not add any parameter meaning beyond what the schema already provides for 'x' and 'precision'.
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 'Compute inverse hyperbolic tangent' with a specific verb and resource. It differentiates from sibling hyperbolic math functions like atan, tanh, and asinh, though it doesn't explicitly contrast them.
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?
No guidance is provided on when to use this tool versus alternatives like atan or tanh. The context is basic math, so usage is implied, but no explicit when/when-not advice is given.
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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