# monte_carlo_estimate

Monte Carlo estimation: estimate pi or compute a definite integral via random sampling.

Agent View of the PolicyLayer registry record for `monte_carlo_estimate`. HTML page: https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/monte-carlo-estimate

## Facts

- Tool: `monte_carlo_estimate`
- Server: UnClick (`@unclick/mcp-server`) — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server.md
- Install: `npx -y @unclick/mcp-server`
- Homepage: https://github.com/malamutemayhem/unclick-agent-native-endpoints.git
- Risk category: Execute (High risk)
- Registry record: grade F, identity unverified
- Server rate-limited: no
- Parameters: 6
- Recommended policy verdict: Rate-limited

## Parameters

| Parameter | Type | Required | Description |
| --- | --- | --- | --- |
| `a` | number | no | Lower bound for integral |
| `b` | number | no | Upper bound for integral |
| `seed` | integer | no | Random seed for reproducibility |
| `method` | string | no | Estimation method (default pi) |
| `samples` | integer | no | Number of random samples (default 10000, max 10000000) |
| `expression` | string | no | JS expression in x for integral method |

Parameters from the server's own tool schema.

## Example call (MCP tools/call, JSON-RPC 2.0)

```json
{
  "jsonrpc": "2.0",
  "id": 1,
  "method": "tools/call",
  "params": {
    "name": "monte_carlo_estimate",
    "arguments": {}
  }
}
```

## Why monte_carlo_estimate is rated High

This tool executes a computational algorithm (Monte Carlo simulation) rather than simply reading stored data or writing/modifying records. It performs mathematical computation via random sampling. The blast radius is low since it only produces numerical estimates with no side effects on external systems or data.

From the tool's own definition: "'Monte Carlo estimation', 'compute a definite integral via random sampling' — runs a computational process (random sampling simulation) to produce a numerical result"

Risk signals: Accepts freeform code/query input (expression)

## Use case

AI agents invoke monte_carlo_estimate to trigger actions in UnClick. What it does depends on the arguments the agent supplies, and its effects often reach beyond the immediate call: builds kicked off, notifications sent, workflows started.

## Recommended policy (PolicyLayer)

Verdict: **Rate-limited**. Enforced by the PolicyLayer MCP gateway (https://policylayer.com/mcp-gateway) before a call reaches UnClick:

```json
{
  "version": "1",
  "default": "deny",
  "tools": {
    "monte_carlo_estimate": {
      "limits": [
        {
          "counter": "monte_carlo_estimate_rate",
          "window": "minute",
          "max": 10,
          "scope": "grant"
        }
      ]
    }
  }
}
```

## Other tools on UnClick (1661)

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- `email_delete` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/email-delete.md
- `file_sync_prune` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/file-sync-prune.md
- `pinecone_delete_vectors` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/pinecone-delete-vectors.md
- `telegram_manage_chat` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/telegram-manage-chat.md
- `upstash_redis_del` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/upstash-redis-del.md
- `vault_action` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/vault-action.md
- `vercel_delete_env` — Destructive — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/vercel-delete-env.md
- `ackermann` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/ackermann.md
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- `baby_giant_step` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/baby-giant-step.md
- `bellman_ford` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bellman-ford.md
- `bezier_curve` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bezier-curve.md
- `bitmask_ops` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bitmask-ops.md
- `bitwise_calc` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bitwise-calc.md
- `bloom_filter` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bloom-filter.md
- `bluesky_action` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/bluesky-action.md
- `burrows_wheeler` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/burrows-wheeler.md
- `cartesian_tree` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/cartesian-tree.md
- `chromatic_number` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/chromatic-number.md
- `circleci_trigger_pipeline` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/circleci-trigger-pipeline.md
- `cohere_chat` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/cohere-chat.md
- `cohere_classify` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/cohere-classify.md
- `cohere_generate` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/cohere-generate.md
- `commonsensepass_check` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/commonsensepass-check.md
- `complex_calc` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/complex-calc.md
- `compliancepass_run` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/compliancepass-run.md
- `convex_hull_3d` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/convex-hull-3d.md
- `convolution` — Execute — https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/convolution.md
- …and 1631 more: https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server.md

## For agents

This record is a snapshot. Live verdicts and the full registry:

- Check every server in your MCP config at once: `npx -y policylayer stack`
- Vet a server before you add it: install the mcp-precheck skill — `npx skills add https://policylayer.com` (skill text: https://policylayer.com/skill.md)
- Query the registry over MCP: endpoint `https://api.policylayer.com/mcp` — tools `check_mcp_server`, `check_mcp_stack`, `check_tool`, `search_registry`, `get_change_events`

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Source: the PolicyLayer MCP registry — one continuously verified record per MCP server. Full record: https://policylayer.com/registry?q=io-github-malamutemayhem-unclick-mcp-server · API: https://policylayer.com/registry/api · Policy library: https://policylayer.com/policies/io-github-malamutemayhem-unclick-mcp-server