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

There are no annotations, so the description carries the full burden. It discloses that the tool generates code and performs AST sandboxing and verification, which is valuable safety-relevant context. It does not explain side effects, failure behavior, or what verification actually guarantees, so it is adequate but not rich.

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 one concise sentence and front-loads the primary action. 'New' is slightly redundant with 'Synthesize', but the sentence is otherwise efficient and contains no filler.

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 no annotations, a 0%-covered schema, and a required problem_type parameter, the description does not give enough context for correct invocation. The agent still does not know what problem_type values look like, how to supply test_examples, or what the tool returns, despite there being an output schema.

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% and the description provides no explanation of the three parameters: problem_type, parameters, or test_examples. The generic term 'parameters' and the ambiguous 'problem_type' are left entirely to the agent to interpret, so the description does not compensate for the schema gap.

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 uses a specific verb ('Synthesize') and a concrete resource ('new algorithmic Python procedures'), and it names two distinguishing behaviors: AST sandboxing and verification. It does not explicitly differentiate itself from the sibling tool 'cognitive.synthesize_program', which is essentially the same name with a dot separator.

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 'on the fly' implies this tool is for dynamically generating new procedures rather than retrieving or selecting existing ones, and 'sandboxing and verification' suggests safe execution. However, there is no explicit statement of when to use this tool versus siblings like few_shot_induce or infer, and no when-not-to-use guidance.

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