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sympy_poly

Create a polynomial from a mathematical expression, specifying a variable for symbolic algebra.

Instructions

Create a polynomial.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
exprYesExpression
variableNoVariablex

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, and the description gives minimal behavioral information. It does not disclose any side effects, input constraints, or special behavior beyond the basic creation action.

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?

The description is extremely short, which could be seen as concise, but it sacrifices necessary detail. It does not fully earn its place as it omits critical context.

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, return value explanation is not required. However, the description lacks information about valid input expressions, variable handling, and how this tool fits among siblings, making it incomplete for effective use.

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?

Schema coverage is 100% with descriptions for both parameters. The description adds no additional meaning beyond the schema. Baseline score of 3 is appropriate due to high coverage.

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

Purpose3/5

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

The description 'Create a polynomial' clearly states the action and resource, but it is overly generic and does not differentiate from many sibling tools that also create mathematical objects (e.g., sympy_symbol, sympy_matrix, sympy_Polygon). A more specific description would improve clarity.

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. With a long list of sibling tools that include many symbolic operations, the agent lacks context for appropriate selection.

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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