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amichae2

Math MCP Server

by amichae2

find_root

Find a root of a scalar mathematical function using numerical methods. Specify the expression and optional bracket or initial guess.

Instructions

Find a root of a scalar function numerically.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYes
variableNox
methodNoauto
bracketNo
guessNo
tolNo
maxiterNo

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Behavior2/5

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

No annotations provided. The description only says 'numerically' but fails to disclose key behaviors like required input shape, handling of multiple roots, convergence criteria, or error cases.

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 a single sentence that front-loads the purpose. It earns its place but is perhaps too terse given the tool's 7 parameters and no other guidance.

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

Completeness2/5

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

Despite having an output schema, the description does not explain return values or behavior. With 7 parameters and no annotations or parameter docs, the description is far from complete for an AI agent.

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

Parameters2/5

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

Schema description coverage is 0%, and the description adds no information about parameters (expression, variable, method, etc.). It does not explain the role of any parameter beyond its name in the schema.

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

Purpose4/5

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

The description clearly states it finds a root of a scalar function numerically. It distinguishes from symbolic solving siblings like 'solve' but does not explicitly differentiate from other numeric root-finding tools.

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?

No guidance on when to use this tool vs alternatives (e.g., 'solve', 'solve_linear'). No prerequisites or limitations are mentioned.

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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