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

Annotations already declare this as a safe read-only, non-destructive, closed-world operation. The description adds some algorithmic context by naming Newton and bisection bracket methods, but does not disclose convergence behavior, failure modes, or bracket requirements beyond what the schema implies. No annotation contradiction is present.

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 front-loaded sentence with no wasted words. It communicates the core operation and the supported numerical methods immediately.

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?

With an output schema, complete parameter descriptions, and safety annotations present, the description does not need to explain return values or parameter details. However, for a numerical solver surrounded by many equation and root-finding siblings, it omits method-selection guidance and constraints such as when a bracket is required. It is adequate but leaves a clear contextual gap.

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 100%, so all six parameters are already documented in the input schema. The description adds only a high-level hint that Newton and bisection bracket methods are involved, without mapping parameters to methods or adding syntax beyond the schema. Baseline 3 is appropriate when the schema does the heavy lifting.

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 a specific verb and resource: numerically solving f(x)=0. It also names the numerical methods (Newton and/or bisection bracket), so the core operation is clear. However, it does not distinguish this tool from closely related siblings such as calculator_root_finder or calculator_newton_raphson.

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 gives no explicit guidance on when to choose this solver over calculator_root_finder, calculator_newton_raphson, or other equation tools. It implies that bracket-based bisection and Newton iteration are available, but does not explain when each method or parameter set is appropriate. There are no exclusions or routing cues.

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