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sympy_piecewise

Create piecewise functions for symbolic mathematics by defining expressions and conditions in a structured format.

Instructions

Create piecewise function (format: "expr,condition; expr2,condition2").

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
pairsYes

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior2/5

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

With no annotations provided, the description carries the full burden of behavioral disclosure. It states the tool creates a piecewise function but doesn't explain what that means in practice—whether it returns a symbolic expression, modifies state, requires specific inputs, or has any side effects. This leaves significant gaps in understanding the tool's behavior.

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 extremely concise—a single sentence that directly states the tool's purpose and parameter format. There is no wasted language, and it's front-loaded with essential information, making it efficient and easy to parse.

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 has an output schema (which likely defines the return value), the description doesn't need to explain outputs. However, with no annotations, 0% schema coverage, and a single parameter, the description provides basic purpose and format but lacks details on usage, behavior, and parameter meaning, making it minimally adequate but incomplete for optimal agent understanding.

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

Parameters2/5

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

The schema description coverage is 0%, so the description must compensate. It adds some value by specifying the format 'expr,condition; expr2,condition2', which clarifies the structure of the 'pairs' parameter. However, it doesn't explain what 'expr' and 'condition' represent, provide examples, or detail constraints, leaving the parameter semantics partially unclear.

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 clearly states the verb 'Create' and the resource 'piecewise function', making the purpose specific and understandable. It distinguishes from siblings by focusing on piecewise functions, though it doesn't explicitly contrast with other tools like sympy_interval or sympy_finiteset which might handle similar mathematical constructs.

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. It doesn't mention prerequisites, typical use cases, or how it differs from other sympy tools that might create functions or handle conditional expressions, leaving the agent to infer usage from context alone.

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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