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sympy_reals

Represent the set of real numbers for use in symbolic mathematics expressions, inequalities, and domain definitions.

Instructions

The set of real numbers.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault

No arguments

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior2/5

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

No annotations are provided, and the description gives no behavioral detail beyond stating what the set is. It does not disclose whether the set is symbolic, infinite, or how it behaves in operations. This minimal transparency forces reliance on external knowledge.

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 a single, clear sentence with no extraneous words. It is front-loaded and efficiently communicates the tool's essence.

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, no parameters, and presence of an output schema, the description is minimally adequate. However, it does not mention properties like 'infinite uncountable set' or its symbolic nature, which would aid agent understanding alongside many sibling set tools.

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?

There are zero parameters, and the schema coverage is 100% (empty). The description adds value by naming the resource ('real numbers'), which is appropriate for a parameterless tool. Baseline for 0 parameters is 4, and the description meets that standard.

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 states 'The set of real numbers,' which clearly identifies the resource as the mathematical real number set. Among many sibling set tools (e.g., sympy_integers, sympy_naturals), this description differentiates by specifying 'real numbers.' However, it lacks an action verb (e.g., 'Returns the set'), leaving the tool's operation implicit.

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 guidelines are provided on when to use this tool versus alternatives such as sympy_integers, sympy_naturals, or sympy_complexes. A user or agent must infer the appropriate context from the name and description alone, which is insufficient for informed selection.

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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