root_find
Find roots of a math expression using Newton's method or bisection.
This record as markdown: /tools/io-github-malamutemayhem-unclick-mcp-server/root-find.md
What root_find does on UnClick
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.
| Parameter | Type | Required | Description |
|---|---|---|---|
a | number | — | Left bound (bisection). |
b | number | — | Right bound (bisection). |
x0 | number | — | Initial guess (Newton, default 1). |
method | string | — | Method: newton (default) or bisection. |
tolerance | number | — | Convergence tolerance (default 1e-10). |
expression | string | Yes | Math expression in x (e.g. 'x^2 - 4'). |
max_iterations | number | — | Max iterations (default 100). |
Parameters from the server's own tool schema.
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 definition 'Find roots of a math expression using Newton's method or bisection' — executes a mathematical algorithm/computation on a provided expression
Risk signalsAccepts freeform code/query input (expression) · Admin/system-level operation
Attacks that exploit this kind of access
The rule that runs root_find safely
PolicyLayer is an MCP gateway: it sits between your AI agents and UnClick, and checks every tool call against a rule you set before the call runs. Nothing changes on the server itself. For root_find, this is the rule to start with:
root_find stays usable, but rate-capped: a runaway agent can't fire it dozens of times a minute. Everything else on the server is denied unless you say otherwise.
The button opens the PolicyLayer dashboard: create your workspace, connect UnClick, apply this rule, and every root_find call is checked against it from then on.
Questions about root_find
Find roots of a math expression using Newton's method or bisection. It is categorised as a Execute tool in the UnClick MCP Server, which means it can trigger actions or run processes. Use rate limits and argument validation.
root_find accepts 7 parameters: a, b, x0, method, tolerance, expression, max_iterations. Required: expression. The full parameter table on this page comes from the server's own tool schema.
Register the UnClick MCP server in PolicyLayer and add a rule for root_find: allow, deny, rate-limit, or require approval. Point your MCP client at the PolicyLayer proxy URL and the rule is enforced on every call, before it reaches UnClick. Nothing to install.
root_find is a Execute tool with high risk. Execute tools should be rate-limited and have argument validation enabled.
Yes. Add a rate_limit block to the root_find rule in your PolicyLayer policy. For example, setting max: 10 and window: 60 limits the tool to 10 calls per minute. Rate limits are tracked per agent session and reset automatically.
Set action: deny in the PolicyLayer policy for root_find. The AI agent will receive a policy violation error and cannot call the tool. You can also include a reason field to explain why the tool is blocked.
root_find is provided by the UnClick MCP server (@unclick/mcp-server). PolicyLayer sits as a proxy in front of this server to enforce policies before tool calls reach the server.
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