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sympy_Identity

Generate identity matrices for mathematical computations. This tool creates square matrices with ones on the main diagonal and zeros elsewhere, useful for linear algebra and symbolic mathematics.

Instructions

Identity matrix.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
nYes

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior1/5

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

No annotations are provided, so the description must fully disclose behavioral traits. It fails to describe what the tool does (e.g., creates, returns, or computes an identity matrix), its output format, or any side effects. The description is too vague to inform the agent about 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 with a single phrase, 'Identity matrix.', which is front-loaded and wastes no words. However, this brevity comes at the cost of clarity and completeness.

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 tool's complexity (a mathematical function with one parameter) and the presence of an output schema, the description is incomplete. It does not explain the tool's purpose, usage, or parameters, relying solely on structured fields. For a tool with no annotations and low schema coverage, more descriptive context is needed.

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 input schema has one parameter 'n' with 0% description coverage, and the description does not add any semantic information about this parameter. It does not explain that 'n' likely specifies the size of the identity matrix, leaving the parameter's purpose undocumented.

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?

The description 'Identity matrix' is a tautology that merely restates the tool name 'sympy_Identity' without specifying the action or resource. It does not clarify that this tool generates or returns an identity matrix, nor does it differentiate from siblings like sympy_eye or sympy_zeros, which are related matrix tools.

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 is provided on when to use this tool versus alternatives. It does not mention sibling tools such as sympy_eye (which might serve a similar function) or specify any context, prerequisites, or exclusions for its use.

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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