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nbiish
by nbiish

exponential

Calculate exponential function values (e^x) for mathematical and financial computations within the MCP Calc Tools server.

Instructions

Calculate exponential function (e^x)

Input Schema

TableJSON Schema
NameRequiredDescriptionDefault
powerYes

Implementation Reference

  • The handler function executes the core logic of the 'exponential' tool by computing e^power using JavaScript's Math.exp().
    async ({ power }) => {
      return Math.exp(power);
    }
  • Schema defines the tool metadata, input (power as number), and output (number) using Zod validation.
    {
      name: 'exponential',
      description: 'Calculate exponential function (e^x)',
      inputSchema: z.object({
        power: z.number()
      }),
      outputSchema: z.number(),
    },
  • index.js:190-202 (registration)
    Registers the 'exponential' tool with Genkit's ai.defineTool, linking schema and handler.
    ai.defineTool(
      {
        name: 'exponential',
        description: 'Calculate exponential function (e^x)',
        inputSchema: z.object({
          power: z.number()
        }),
        outputSchema: z.number(),
      },
      async ({ power }) => {
        return Math.exp(power);
      }
    );
Behavior2/5

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

No annotations are provided, so the description carries the full burden of behavioral disclosure. It states the tool calculates e^x but doesn't mention computational limits (e.g., handling large powers), precision, error handling, or output format. For a mathematical tool with zero annotation coverage, this leaves significant gaps in understanding its behavior.

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 extremely concise with a single, clear sentence: 'Calculate exponential function (e^x)'. It's front-loaded and wastes no words, making it easy for an agent to parse quickly. Every part of the sentence earns its place by directly stating the tool's core function.

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 complexity of mathematical operations and the lack of annotations or output schema, the description is insufficiently complete. It doesn't address potential issues like numerical stability, domain restrictions (e.g., complex numbers), or what the return value represents. For a tool in a server with many mathematical siblings, more context is needed to ensure correct usage.

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 schema description coverage is 0%, and the description doesn't add any parameter details beyond what's implied by 'e^x'. It doesn't explain that 'power' corresponds to the exponent x, its expected range, or units. With one undocumented parameter, the description fails to compensate for the low schema coverage, providing minimal semantic value.

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 clearly states the tool's purpose as 'Calculate exponential function (e^x)' which specifies the verb ('calculate') and resource ('exponential function'). It distinguishes this from siblings like 'logarithm' or 'derivative' by focusing on the exponential operation. However, it doesn't explicitly differentiate from all mathematical siblings, keeping it at a 4 rather than a perfect 5.

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 like 'compound_interest' or 'present_value' which might involve exponential calculations. There's no mention of specific contexts, prerequisites, or exclusions, leaving the agent to infer usage based solely on the tool name and description.

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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