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sympy_horner

Converts a symbolic expression to Horner form, optimizing polynomial evaluation by reducing the number of multiplications.

Instructions

Horner form.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
exprYes
variableNox

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior1/5

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

No annotations provided and description does not disclose any behavioral traits (e.g., that it rewrites a polynomial for efficient evaluation, no side effects, or prerequisites).

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

Conciseness1/5

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

Two words is too terse; the description under-specifies the tool's action. A single noun phrase lacks structure.

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

Completeness1/5

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

Even though an output schema exists, the description completely fails to provide context such as return type, behavior, or prerequisites. Agent has no way to know what to expect.

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

Parameters1/5

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

Schema has 0% description coverage. Description adds no meaning to the 'expr' (expected to be a symbolic expression string) or 'variable' (optional string, default 'x') 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?

Description 'Horner form.' is a noun phrase, not a sentence. It implies the tool transforms to Horner form but lacks a verb like 'Rewrite' or 'Convert'. Among many sympy siblings, it does not distinguish itself.

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 like sympy_simplify, sympy_factor, or other symbolic manipulation tools. Context of Horner form is not explained.

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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