# root_find

Find roots of a math expression using Newton's method or bisection.

Agent View of the PolicyLayer registry record for `root_find`. HTML page: https://policylayer.com/tools/io-github-malamutemayhem-unclick-mcp-server/root-find

## Facts

- Tool: `root_find`
- 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: 7 (1 required)
- Recommended policy verdict: Rate-limited

## Parameters

| Parameter | Type | Required | Description |
| --- | --- | --- | --- |
| `a` | number | no | Left bound (bisection). |
| `b` | number | no | Right bound (bisection). |
| `x0` | number | no | Initial guess (Newton, default 1). |
| `method` | string | no | Method: newton (default) or bisection. |
| `tolerance` | number | no | Convergence tolerance (default 1e-10). |
| `expression` | string | yes | Math expression in x (e.g. 'x^2 - 4'). |
| `max_iterations` | number | no | Max iterations (default 100). |

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": "root_find",
    "arguments": {
      "expression": "<expression>"
    }
  }
}
```

## Why root_find is rated High

This tool runs a numerical computation (Newton's method or bisection algorithm) on a math expression provided by the user. It falls under Execute because it actively processes/runs an algorithm rather than simply retrieving stored data. However, it has no side effects on external systems, data stores, or finances, making its blast radius very low.

From the tool's own definition: "'Find roots of a math expression using Newton's method or bisection' — executes a mathematical algorithm/computation on a provided expression"

Risk signals: Accepts freeform code/query input (expression) · Admin/system-level operation

## Use case

AI agents invoke root_find 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": {
    "root_find": {
      "limits": [
        {
          "counter": "root_find_rate",
          "window": "minute",
          "max": 10,
          "scope": "grant"
        }
      ]
    }
  }
}
```

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- …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`

---

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