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sympy_naturals

Access the set of natural numbers for symbolic mathematics and number theory computations within the SymPy library.

Instructions

The set of natural 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, so the description carries full burden. 'The set of natural numbers' implies a read-only operation returning a mathematical set, but it doesn't clarify if this is a constant reference, a generator, or involves computation. It lacks details on permissions, side effects, or output behavior beyond the basic implication.

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, efficient phrase with no wasted words. It's appropriately sized for a tool with no parameters and clear mathematical context, though it lacks depth.

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 0 parameters, 100% schema coverage, and an output schema (implied by context signals), the description is minimally adequate. However, it doesn't explain what the tool returns (e.g., a symbolic set object) or how it differs from siblings, leaving gaps in understanding its role.

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 tool has 0 parameters with 100% schema description coverage, so no parameter documentation is needed. The description doesn't add parameter semantics, but that's appropriate here. A baseline of 4 is applied since the schema fully covers the absence of parameters.

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

Purpose2/5

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

The description 'The set of natural numbers' restates the tool name 'sympy_naturals' without specifying what the tool does. It doesn't indicate whether this returns, creates, or manipulates natural numbers, nor does it differentiate from sibling tools like 'sympy_naturals0' (which likely represents natural numbers including zero) or 'sympy_integers'.

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

Usage Guidelines1/5

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. With siblings like 'sympy_naturals0', 'sympy_integers', and 'sympy_finite_set', the description offers no context about appropriate use cases, prerequisites, or distinctions.

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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