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-builderParameters
| 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]