symbolic_sum

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

With no annotations, the description carries the full burden of behavioral disclosure, but it only states the basic operation. It does not mention how infinite bounds are handled, whether closed-form results are returned, or any error conditions. This leaves significant behavioral ambiguity.

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?

A single sentence that is direct and without any filler. It efficiently communicates the essential purpose, earning full marks for conciseness.

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?

Despite having an output schema, the description is very sparse for a tool with 5 parameters and no annotations. It lacks examples, prerequisites, or clarification on symbolic expression handling. The tool is not complex enough to justify such minimal context, leaving gaps in understanding.

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 input schema has 100% parameter coverage with clear descriptions, so the baseline is 3. The description does not add any extra meaning beyond what the schema already provides (e.g., it mirrors the 'product' parameter but doesn't explain usage constraints or examples).

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?

Clearly states it computes a symbolic sum or product over an index variable, which is a specific operation distinct from sibling tools like integrate_expression or differentiate_expression. The verb 'compute' and the explicit resource make the purpose unmistakable.

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?

Provides no guidance on when to use this tool versus alternatives. It does not mention when a symbolic sum/product is appropriate, nor does it exclude other operations. The sibling list includes many overlapping math tools, but the description offers no differentiation beyond the core function.

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