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sympy_fresnels

Calculate the Fresnel S integral of a symbolic expression. Solve problems involving Fresnel sine integrals in symbolic mathematics.

Instructions

Fresnel S.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
exprYes

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior1/5

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

With no annotations, the description must carry full burden, but it only states the name. No mention of side effects, return type, or error behavior. An output schema exists but is not described.

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

Conciseness2/5

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

Extremely concise but to the point of under-specification. Front-loaded but lacks necessary detail to be useful.

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?

Given low schema coverage, no annotations, and minimal description, the tool definition is severely incomplete. An agent cannot determine how to pass arguments or interpret results.

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?

The single parameter 'expr' has no schema description and the description adds no information about its format or expected content. 0% description coverage, and the description does not compensate.

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 is 'Fresnel S.' which essentially restates the tool name without a verb. It does not explicitly say 'compute' or 'evaluate', making it a near-tautology.

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 provided on when to use this tool versus alternatives like sympy_fresnelc. No context, exclusions, or tips are given.

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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