verify_derivation

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

The description discloses core behavior: it checks step-by-step equality and returns the first step that does not follow. It also states that steps are Wolfram expressions as strings. With no annotations available, it does not cover what happens when all steps pass, how equality is determined (e.g., evaluation vs structural comparison), or how 'assumptions' and 'timeout' affect 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 concise, two sentences long, and front-loads the main purpose before adding the key parameter detail. There is slight redundancy between 'step by step' and 'in order', but no meaningful waste.

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?

An output schema exists, so return-value details are already covered. The description adequately explains the required 'steps' parameter and the core behavior, but because there are no annotations, the complete silence on 'timeout' and 'assumptions' leaves gaps for an agent trying to invoke the tool with non-default options.

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 the description must compensate for the missing parameter documentation. It usefully explains 'steps' as Wolfram expression strings in order, but it says nothing about the 'timeout' or 'assumptions' parameters, leaving two of three parameters semantically unexplained.

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 names a specific operation (verify a chain of expressions) and defines the key property (each step must equal the previous one). It returns the first non-following step, which gives a clear behavioral signature. However, it does not explicitly contrast with sibling tools such as 'evaluate', so it falls slightly short of full differentiation.

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 phrase 'Check a chain of expressions...' implies the intended use case: verifying a derivation. But there is no explicit when-to-use vs when-not-to-use guidance and no mention of alternative tools like 'evaluate' or 'batch'. Usage is inferable but not directly stated.

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