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kirthi0071

Calculator MCP Server

by kirthi0071

square_root

Compute the square root of x, returning the principal root; raises an error if x is negative.

Instructions

Return the square root of x. Raises an error if x is negative.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
xYes

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior4/5

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

No annotations are present, so the description carries the full burden. It discloses the primary behavior and the error case for negative inputs. Additional details like return type are covered by the output schema.

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 two short sentences, front-loading the core action and including the essential error condition with no unnecessary words.

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

Completeness4/5

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

For a simple mathematical function, the description covers purpose and error handling. The presence of an output schema means return format doesn't need explanation, so the tool is adequately documented.

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

Parameters4/5

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

The schema provides only a type and title for 'x'. The description adds semantic meaning by referencing 'x' in the context of the square root, making its role clear despite 0% schema description coverage.

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 states a specific verb 'Return' and resource 'square root of x', clearly distinguishing it from sibling arithmetic operations like add or divide.

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 gives clear context for when to use the tool (computing a square root) and notes an error condition. It doesn't explicitly name alternatives, but the sibling set makes the intended use apparent.

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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