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execute_mathematica

Run Mathematica code to perform calculations and verify mathematical derivations. Supports output in text, LaTeX, or Mathematica format.

Instructions

Execute Mathematica code and return the result

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
codeYesMathematica code to execute
formatNoOutput format (text, latex, or mathematica)text
Behavior2/5

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

No annotations provided. Description lacks disclosure of behavioral traits like environment constraints, side effects, security implications, or output handling. For a code execution tool, critical details are missing.

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

Conciseness3/5

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

Single sentence is concise but too brief. It lacks structure and fails to provide essential details while being overly minimal.

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?

Tool has no output schema and moderate complexity (2 params, code execution). Description does not cover return values, execution behavior, or constraints, leaving critical gaps.

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%, so baseline is 3. Description adds no extra meaning beyond schema; it doesn't explain code capabilities or format nuances.

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?

Description clearly states the tool executes Mathematica code and returns the result, with specific verb 'execute' and resource 'Mathematica code'. It distinguishes from sibling 'verify_derivation' by focusing on execution rather than verification.

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 like verify_derivation. Missing context such as prerequisites, safety considerations, or when execution is appropriate.

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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