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Axiomatic-AI

axiomatic-mcp

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by Axiomatic-AI

AxEquationExplorer_find_functional_form

Derive mathematical expressions from equations in source documents by describing the expression you want to compose.

Instructions

Derive an expression of your interest given the information from the source documents and equations residing there. Provide description of the expression you want to compose.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
taskYesThe task to be done for expression composition
documentYesEither a file path to a PDF document or the document content as a string
Behavior2/5

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

Without annotations, the description carries full burden for behavioral disclosure. It states the tool will derive an expression but does not describe what it returns (no output schema), any side effects, authentication needs, or error conditions. The behavior is minimally explained.

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

Conciseness5/5

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

The description is two sentences with no extraneous information. It is concise and front-loaded with the main action.

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?

Given the lack of output schema and annotations, the description is incomplete. It does not explain what 'derive' means operationally, what the output looks like, or how the document is processed. For a tool that likely generates an expression, more context is needed.

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. The description adds a hint about providing a description of the expression, but it does not add significant meaning beyond the schema for the 'task' and 'document' parameters.

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 uses the verb 'derive' and specifies the resource as 'expression of your interest' from source documents, which aligns with the tool name 'find_functional_form'. It is clear what the tool does, but it does not explicitly differentiate from sibling tools; however, the context signals show its uniqueness.

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?

The description provides no guidance on when to use this tool versus alternatives. It does not mention any exclusions, prerequisites, or context that would help an agent decide when to invoke 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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