integrate_simpson

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 accuracy advantage over trapezoid rule, which is useful behavioral context. However, it doesn't disclose important traits: error behavior, computational complexity, handling of edge cases (e.g., singularities), convergence properties, or what happens with invalid inputs. For a numerical integration tool with no annotation coverage, this leaves significant gaps in understanding how it behaves.

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 appropriately concise - one sentence stating the core purpose with a parenthetical accuracy comparison and domain tags. It's front-loaded with the main functionality. The domain/category tags might be slightly redundant but don't significantly detract from efficiency. No wasted words or unnecessary elaboration.

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 a numerical integration tool with 4 parameters, 0% schema coverage, no annotations, and no output schema, the description is inadequate. It doesn't explain parameter meanings, return values, error conditions, or practical usage considerations. The accuracy comparison adds some value, but doesn't compensate for the missing information needed to use the tool effectively. The domain tags provide minimal contextual framing.

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 0%, so parameters are undocumented in the schema. The description provides no information about the four parameters (func, a, b, n_steps). It doesn't explain what 'func' should contain (mathematical expression format), that 'a' and 'b' are integration limits, what 'n_steps' controls, or the default value. The description fails to compensate for the complete lack of schema documentation.

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 clearly states the tool's purpose: 'Calculate definite integral using Simpson's rule'. It specifies the mathematical operation (calculate definite integral) and the method (Simpson's rule), and distinguishes it from trapezoid rule by noting it's 'more accurate than trapezoid'. However, it doesn't explicitly differentiate from sibling integration tools like integrate_midpoint or integrate_trapezoid beyond the accuracy comparison.

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 implies when to use this tool through the accuracy comparison ('more accurate than trapezoid'), suggesting it's preferred over trapezoid rule for better precision. The domain/category tags ('Domain: calculus, Category: general') provide some context about applicability. However, there's no explicit guidance on when to choose Simpson's rule over other integration methods available as siblings (midpoint, trapezoid), nor any prerequisites or limitations mentioned.

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