diff --git a/docs/examples/demos/custom_routing_chains.ipynb b/docs/examples/demos/custom_routing_chains.ipynb
index 4f580198b0a..a412ee907cd 100644
--- a/docs/examples/demos/custom_routing_chains.ipynb
+++ b/docs/examples/demos/custom_routing_chains.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "f6766398",
+   "id": "b5db08e0",
    "metadata": {},
    "source": [
     "# Custom Routing Chains\n",
@@ -12,7 +12,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f909b220",
+   "id": "a922e870",
    "metadata": {},
    "source": [
     "## Terminology\n",
@@ -32,7 +32,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e14d6e8",
+   "id": "a9f99ac7",
    "metadata": {},
    "source": [
     "## Router\n",
@@ -88,15 +88,61 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8f4730a3",
+   "id": "4f8835fc",
    "metadata": {},
    "source": [
     "In order to understand why the router interface is what it is, let's take a look at how it is used in the RoutingChain class:\n",
     "\n",
     "```python\n",
+    "def _call(self, inputs: Dict[str, str]) -> Dict[str, str]:\n",
+    "    # Construct a mapping of tool name to tool for easy lookup\n",
+    "    name_to_tool_map = {tc.tool_name: tc.tool for tc in self.tool_configs}\n",
+    "    # Construct the initial string to pass into the router. This is made up\n",
+    "    # of the user input, the special starter string, and then the router prefix.\n",
+    "    # The starter string is a special string that may be used by a router to\n",
+    "    # immediately follow the user input. The router prefix is a string that\n",
+    "    # prompts the router to start routing.\n",
+    "    starter_string = (\n",
+    "        inputs[self.input_key]\n",
+    "        + self.router.starter_string\n",
+    "        + self.router.router_prefix\n",
+    "    )\n",
+    "    # We use the ChainedInput class to iteratively add to the input over time.\n",
+    "    chained_input = ChainedInput(starter_string, verbose=self.verbose)\n",
+    "    # We construct a mapping from each tool to a color, used for logging.\n",
+    "    color_mapping = get_color_mapping(\n",
+    "        [c.tool_name for c in self.tool_configs], excluded_colors=[\"green\"]\n",
+    "    )\n",
+    "    # We now enter the router loop (until it returns something).\n",
+    "    while True:\n",
+    "        # Call the router to see what to do.\n",
+    "        output = self.router.route(chained_input.input)\n",
+    "        # Add the log to the Chained Input.\n",
+    "        chained_input.add(output.log, color=\"green\")\n",
+    "        # If the tool chosen is the finishing tool, then we end and return.\n",
+    "        if output.tool == self.router.finish_tool_name:\n",
+    "            return {self.output_key: output.tool_input}\n",
+    "        # Otherwise we lookup the tool\n",
+    "        chain = name_to_tool_map[output.tool]\n",
+    "        # We then call the tool on the tool input to get an observation\n",
+    "        observation = chain(output.tool_input)\n",
+    "        # We then log the observation\n",
+    "        chained_input.add(f\"\\n{self.router.observation_prefix}\")\n",
+    "        chained_input.add(observation, color=color_mapping[output.tool])\n",
+    "        # We then add the router prefix into the prompt to get the router to start\n",
+    "        # thinking, and start the loop all over.\n",
+    "        chained_input.add(f\"\\n{self.router.router_prefix}\")\n",
     "\n",
     "```"
    ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "d22d0f7a",
+   "metadata": {},
+   "outputs": [],
+   "source": []
   }
  ],
  "metadata": {