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Simplify Expression

simplify_expression
Read-onlyIdempotent

Simplify, factor, or expand mathematical expressions with step-by-step proof steps.

Instructions

Simplify, factor, or expand a mathematical expression with proof steps.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
expressionYesA math expression with an operation verb. Examples: 'simplify (x^2 - 1)/(x - 1)', 'factor x^2 - 5x + 6', 'expand (x + 1)^3'

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior4/5

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

Annotations already declare readOnlyHint=true, destructiveHint=false, idempotentHint=true. The description adds value by noting the tool returns 'proof steps', which is beyond what annotations provide.

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, clear sentence that is front-loaded with the tool's purpose. It is appropriately sized but could benefit from slightly more structure.

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?

Despite one parameter and full schema coverage, the description mentions the output includes 'proof steps', which is helpful. With an output schema present, the description is sufficiently complete for an agent to understand and use the tool.

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?

Schema description coverage is 100% with a detailed description and examples for the 'expression' parameter. The tool description adds no extra parameter information beyond the schema, so a baseline of 3 is appropriate.

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 can 'Simplify, factor, or expand a mathematical expression' and mentions 'proof steps', clearly differentiating it from siblings like solve_equation or compute_derivative.

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

Usage Guidelines3/5

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

The description implies usage for algebraic manipulation but does not explicitly state when to use this tool over alternatives like solve_equation or check_logic. No when-not or alternative guidance is provided.

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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