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sympy_product_expr

Compute an unevaluated mathematical product expression with given variable and bounds using symbolic algebra.

Instructions

Compute an unevaluated product (Product object).

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
exprYesString expression
variableYesProduct variable
boundsYesLower and upper bound as "lower,upper"

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior2/5

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

With no annotations, the description carries full burden but only states that the product is unevaluated. It does not disclose any behavioral traits such as how bounds are interpreted, error conditions, or the fact that it returns a symbolic object.

Agents need to know what a tool does to the world before calling it. Descriptions should go beyond structured annotations to explain consequences.

Conciseness4/5

Is the description appropriately sized, front-loaded, and free of redundancy?

The description is a single sentence, very concise. However, it is so brief that it may be under-informative, but it earns a 4 for lack of extra verbosity.

Shorter descriptions cost fewer tokens and are easier for agents to parse. Every sentence should earn its place.

Completeness2/5

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 fails to explain parameter constraints, the expected format for variable and bounds, or any example usage. The tool has moderate complexity with three required parameters, and the description is too minimal.

Complex tools with many parameters or behaviors need more documentation. Simple tools need less. This dimension scales expectations accordingly.

Parameters3/5

Does the description clarify parameter syntax, constraints, interactions, or defaults beyond what the schema provides?

Schema coverage is 100% with brief descriptions. The tool description adds no additional meaning beyond what the schema already provides. Baseline score of 3 is appropriate.

Input schemas describe structure but not intent. Descriptions should explain non-obvious parameter relationships and valid value ranges.

Purpose4/5

Does the description clearly state what the tool does and how it differs from similar tools?

The description clearly states it computes an unevaluated product and mentions the 'Product object', which indicates the symbolic nature. However, it does not explicitly differentiate from the sibling 'sympy_product' tool, which likely computes numeric products.

Agents choose between tools based on descriptions. A clear purpose with a specific verb and resource helps agents select the right tool.

Usage Guidelines2/5

Does the description explain when to use this tool, when not to, or what alternatives exist?

No guidance is provided on when to use this tool versus alternatives like 'sympy_product' or 'sympy_summation'. There is no mention of context or prerequisites.

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

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