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sympy_summation

Compute symbolic summation of an expression over a variable with given bounds, returning an unevaluated Sum object.

Instructions

Compute an unevaluated sum (Sum object).

Input Schema

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

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes
Behavior3/5

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

The description discloses that the sum is unevaluated and returns a Sum object, which is useful behavioral info. However, without annotations, the description carries the full burden and it omits details like prerequisites, side effects, or limitations.

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 with no unnecessary words. It is concise but sacrifices some informativeness; longer would be better.

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

Completeness3/5

Given the tool's complexity, does the description cover enough for an agent to succeed on first attempt?

Given that an output schema exists, the description need not explain return values. However, it lacks context about the parameters and when to use the tool, making it incomplete for a tool with 3 required params.

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?

Input schema has 100% coverage, so baseline is 3. The description adds no extra meaning beyond what the schema already provides (expr, variable, bounds).

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 states the tool computes an unevaluated sum (Sum object), which is clear about the verb and resource. However, it does not distinguish from sibling sympy_sum, which likely computes an evaluated sum.

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 vs alternatives (e.g., sympy_sum). The description lacks any context about when to choose this tool over siblings.

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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