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sympy_sum

Compute the sum of a symbolic expression over a specified variable and bounds.

Instructions

Compute a sum.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
exprYesString expression to sum
variableYesSummation variable
lowerYesLower bound
upperYesUpper bound

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. It only says 'Compute a sum', omitting any behavioral details like side effects, return type, error handling, or performance considerations. This is inadequate for an agent to anticipate tool behavior.

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 and front-loaded. However, it may be too minimal for the complexity of the tool, but conciseness alone is well preserved.

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 omits important context such as supported expression types, variable conventions, return format, and relationships with siblings like sympy_summation. Incomplete for a tool with many related commands.

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% and parameters have descriptions. The description adds no extra meaning beyond what the schema provides, so baseline score of 3 applies.

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

Purpose3/5

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

Description specifies verb 'compute' and resource 'sum', which is clear but generic. It does not differentiate from sibling tools like 'sympy_summation' or 'sympy_product', making it ambiguous for an AI agent to select this tool over similar ones.

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 on when to use this tool versus alternatives (e.g., sympy_summation, sympy_integral). No context on prerequisites, typical use cases, or when not to use it.

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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