Data Analysis

Monte Carlo Simulation Builder

Define input distributions (normal/uniform/lognormal/triangular), write a formula, run thousands of trials, and get the output distribution histogram with confidence intervals.

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Quick start

Call this tool from your code in three languages.

cURL

curl -X POST 'https://api.elysiatools.com/en/api/tools/monte-carlo-simulation-builder' \
  -H 'Content-Type: application/json' \
  -d '{"distributions":"revenue = normal [100, 20]\ncost = uniform [30, 50]","formula":"revenue - cost","trials":10000,"seed":"42","confidence":90}'

API reference

Send a POST request with your inputs as JSON. File parameters require a separate upload first.

Endpoint

HTTP

POST https://api.elysiatools.com/en/api/tools/monte-carlo-simulation-builder

Parameters

Name	Type	Required	Description
distributions	textarea	Yes	Declare each random input. Types: normal [mean, sigma], uniform [min, max], lognormal [mu, sigma], triangular [a, b, c].
formula	text	Yes	Arithmetic expression over the variable names. Supports + - * / % ^, parentheses, abs/sqrt/exp/log/min/max/pow, PI, E.
trials	number	No	How many samples to draw. More trials → smoother histogram (100 – 200000).
seed	text	No	A fixed seed makes results reproducible run-to-run. Leave blank for a fresh random draw.
confidence

MCP integration

Add this tool to your Model Context Protocol server so AI agents can list and call it.

Server configuration

Add this block to your MCP client configuration:

mcp.json

{
  "mcpServers": {
    "elysiatools-monte-carlo-simulation-builder": {
      "name": "monte-carlo-simulation-builder",
      "description": "Define input distributions (normal/uniform/lognormal/triangular), write a formula, run thousands of trials, and get the output distribution histogram with confidence intervals.",
      "baseUrl": "https://api.elysiatools.com/mcp/sse?toolId=monte-carlo-simulation-builder",
      "command": "",
      "args": [],
      "env": {},
      "isActive": true,
      "type": "sse"
    }
  }
}

List available tools

After connecting to the SSE endpoint, list the exposed tools:

tools/list

{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/list"
}

Call this tool

Invoke the tool by its id, passing arguments built from its parameters:

tools/call

{
  "jsonrpc": "2.0",
  "id": 2,
  "method": "tools/call",
  "params": {
    "name": "monte-carlo-simulation-builder",
    "arguments": {
  "distributions": "revenue = normal [100, 20]\ncost = uniform [30, 50]",
  "formula": "revenue - cost",
  "trials": 10000,
  "seed": "42",
  "confidence": 90
}
  }
}

Chain multiple tools in one session with a comma-separated toolId list, e.g. /mcp/sse?toolId=png-to-webp,jpg-to-webp,gif-to-webp (max 20).

Questions or issues? Contact [email protected]

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