Calculus and symbolic algebra

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

No annotations are provided, so the description carries full burden. It mentions Simpson's rule for integration but omits details on error handling, precision limitations, return format, or behavior for invalid inputs.

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

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

The description is a single sentence, which is concise. However, it is too sparse; while it earns its place by stating the three operations, it lacks necessary detail for effective use.

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

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

Given the tool's complexity (9 parameters, no output schema, no annotations), the description is inadequate. It does not explain return values, parameter usage, or constraints, leaving the AI agent underinformed.

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

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

Schema description coverage is low (33%), and the description adds no parameter information. It does not explain the required 'operation' and 'expression' parameters or optional ones like 'lower', 'upper', 'intervals', etc.

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

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

The description states three specific calculus operations: symbolic differentiation, symbolic simplification, and numeric definite integration via Simpson's rule. This clearly identifies the tool's purpose and distinguishes it from sibling tools like arithmetic and calculate.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Does the description explain when to use this tool, when not to, or what alternatives exist?

The description does not specify when to use this tool over alternatives such as calculate for numeric evaluation or latex_to_expression for conversion. No guidance is provided on prerequisites or when not to use the tool.

Agents often have multiple tools that could apply. Explicit usage guidance like "use X instead of Y when Z" prevents misuse.