quadratic_solver

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

No annotations are provided, so the description carries the full burden for behavioral disclosure. It discloses a monetary cost, which is a useful trait, but says nothing about side effects, read-only status, required arguments, or return behavior.

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 extremely brief and front-loaded with the tool name. However, it is under-specified; the cost information is useful but the core functionality is missing, so brevity comes at the expense of clarity.

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?

For a tool with no useful annotations, a generic schema, and no output schema, the description must provide far more context. It fails to explain what the solver does, how to invoke it, what inputs are expected, or what output to expect.

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?

The schema only exposes a generic 'params' object with no meaningful properties or constraints. The description adds nothing about expected parameters (e.g., coefficients a, b, c), leaving the agent unable to construct a valid call.

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 essentially restates the name ('quadratic solver') and adds only a category label ('Finance & Math tool') plus cost. It does not specify what the tool does, such as solving quadratic equations, nor does it distinguish it from sibling math tools like evaluate_math or loan_calculator.

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?

There is no guidance on when to use this tool, what alternatives exist, or what inputs are needed. The only additional information is the cost, which is not a usage guideline.

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