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sympy_count_ops

Count the number of operations in a symbolic expression to evaluate its complexity.

Instructions

Count operations.

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
exprYes

Output Schema

TableJSON Schema
NameRequiredDescriptionDefault
resultYes

Implementation Reference

  • The handler function for the sympy_count_ops tool. Takes a string expression, converts it to a SymPy object via _sympify(), counts operations with sympy.count_ops(), and returns the result as a string.
    @mcp.tool()
    def sympy_count_ops(expr: str) -> str:
        """Count operations."""
        return str(sympy.count_ops(_sympify(expr)))
  • The tool is registered using the @mcp.tool() decorator on the function, where mcp = fastmcp.FastMCP('mcp-sympy') is the FastMCP instance defined at line 119.
    @mcp.tool()
    def sympy_count_ops(expr: str) -> str:
        """Count operations."""
        return str(sympy.count_ops(_sympify(expr)))
  • The schema is inferred from the function signature: takes a single string parameter 'expr' and returns a string.
    def sympy_count_ops(expr: str) -> str:
        """Count operations."""
        return str(sympy.count_ops(_sympify(expr)))
  • Helper function _sympify() converts a string expression to a SymPy Basic object, used by the handler to parse input.
    def _sympify(expr: str) -> sympy.Basic:
        """Convert string expression to SymPy object."""
        return sympy.sympify(expr)
Behavior2/5

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

No annotations are provided, and the description fails to disclose any behavioral traits. It does not mention side effects, required permissions, or what the output represents.

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?

The description is extremely concise (two words), which is positive for conciseness, but it lacks necessary detail. It is not well-structured to provide essential information.

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 large number of sibling tools (many with specific operations), this description is insufficient. The agent needs more context about what kind of operations are counted and what the output format is. The presence of an output schema reduces the burden slightly, but the description still fails to provide enough context.

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

Parameters2/5

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

The input schema has one parameter 'expr' without description. The tool description does not add any meaning, leaving the parameter's role unclear. With 0% schema description coverage, the description should compensate but does not.

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

Purpose2/5

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

The description 'Count operations' is vague. It does not specify what kind of operations are counted (e.g., arithmetic operations, function calls). Without context, it is difficult for an agent to distinguish it from other sympy tools.

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. For instance, it does not explain if it counts operations in an expression or something else, nor does it mention any constraints.

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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