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sympy_cbrt

Compute the symbolic cube root of any expression using SymPy's precise algebraic methods.

Instructions

Cube root.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
exprYesExpression

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior2/5

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

With no annotations, the description carries full burden for behavioral traits. It only says 'Cube root.' without disclosing whether it returns principal values, handles complex numbers, or any special cases. The output schema likely provides return details, but it is not referenced.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness3/5

Is the description appropriately sized, front-loaded, and free of redundancy?

Extremely concise (one word) but at the expense of helpful context. While front-loaded, it lacks necessary detail to guide an AI agent effectively.

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?

Given the presence of an output schema, the description is still incomplete. It does not explain input format, symbolic vs numeric, or common pitfalls. For a math function, more context is expected.

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?

The input schema has 100% description coverage, but the description 'Expression' is minimal. The tool description adds no additional semantics beyond the schema, remaining at baseline.

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 succinctly states 'Cube root.', which clearly identifies the mathematical operation. However, it could benefit from specifying that it computes the principal cube root, distinguishing it from related tools like sympy_root or sympy_roots.

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 is provided on when to use this tool versus alternatives such as sympy_sqrt or sympy_root. The context of use in symbolic computation is implied but not stated.

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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