From a7e452ea6ddd31a93e5ddd57976382dd9aff4a10 Mon Sep 17 00:00:00 2001
From: Tanishq Dubey <dubey@dws.rip>
Date: Thu, 15 Aug 2024 14:39:29 -0400
Subject: [PATCH] Initial Commit

---
 .gitignore      |   169 +
 Untitled.ipynb  |     6 +
 micrograd.ipynb | 24410 ++++++++++++++++++++++++++++++++++++++++++++++
 pyvenv.cfg      |     5 +
 4 files changed, 24590 insertions(+)
 create mode 100644 .gitignore
 create mode 100644 Untitled.ipynb
 create mode 100644 micrograd.ipynb
 create mode 100644 pyvenv.cfg

diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..c82c138
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,169 @@
+# Byte-compiled / optimized / DLL files
+__pycache__/
+*.py[cod]
+*$py.class
+
+# C extensions
+*.so
+
+# Distribution / packaging
+.Python
+build/
+develop-eggs/
+dist/
+downloads/
+eggs/
+.eggs/
+lib/
+lib64/
+parts/
+sdist/
+var/
+wheels/
+share/python-wheels/
+*.egg-info/
+.installed.cfg
+*.egg
+MANIFEST
+
+# PyInstaller
+#  Usually these files are written by a python script from a template
+#  before PyInstaller builds the exe, so as to inject date/other infos into it.
+*.manifest
+*.spec
+
+# Installer logs
+pip-log.txt
+pip-delete-this-directory.txt
+
+# Unit test / coverage reports
+htmlcov/
+.tox/
+.nox/
+.coverage
+.coverage.*
+.cache
+nosetests.xml
+coverage.xml
+*.cover
+*.py,cover
+.hypothesis/
+.pytest_cache/
+cover/
+
+# Translations
+*.mo
+*.pot
+
+# Django stuff:
+*.log
+local_settings.py
+db.sqlite3
+db.sqlite3-journal
+
+# Flask stuff:
+instance/
+.webassets-cache
+
+# Scrapy stuff:
+.scrapy
+
+# Sphinx documentation
+docs/_build/
+
+# PyBuilder
+.pybuilder/
+target/
+
+# Jupyter Notebook
+.ipynb_checkpoints
+
+# IPython
+profile_default/
+ipython_config.py
+
+# pyenv
+#   For a library or package, you might want to ignore these files since the code is
+#   intended to run in multiple environments; otherwise, check them in:
+# .python-version
+
+# pipenv
+#   According to pypa/pipenv#598, it is recommended to include Pipfile.lock in version control.
+#   However, in case of collaboration, if having platform-specific dependencies or dependencies
+#   having no cross-platform support, pipenv may install dependencies that don't work, or not
+#   install all needed dependencies.
+#Pipfile.lock
+
+# poetry
+#   Similar to Pipfile.lock, it is generally recommended to include poetry.lock in version control.
+#   This is especially recommended for binary packages to ensure reproducibility, and is more
+#   commonly ignored for libraries.
+#   https://python-poetry.org/docs/basic-usage/#commit-your-poetrylock-file-to-version-control
+#poetry.lock
+
+# pdm
+#   Similar to Pipfile.lock, it is generally recommended to include pdm.lock in version control.
+#pdm.lock
+#   pdm stores project-wide configurations in .pdm.toml, but it is recommended to not include it
+#   in version control.
+#   https://pdm.fming.dev/latest/usage/project/#working-with-version-control
+.pdm.toml
+.pdm-python
+.pdm-build/
+
+# PEP 582; used by e.g. github.com/David-OConnor/pyflow and github.com/pdm-project/pdm
+__pypackages__/
+
+# Celery stuff
+celerybeat-schedule
+celerybeat.pid
+
+# SageMath parsed files
+*.sage.py
+
+# Environments
+.env
+.venv
+env/
+venv/
+ENV/
+env.bak/
+venv.bak/
+
+# Spyder project settings
+.spyderproject
+.spyproject
+
+# Rope project settings
+.ropeproject
+
+# mkdocs documentation
+/site
+
+# mypy
+.mypy_cache/
+.dmypy.json
+dmypy.json
+
+# Pyre type checker
+.pyre/
+
+# pytype static type analyzer
+.pytype/
+
+# Cython debug symbols
+cython_debug/
+
+# PyCharm
+#  JetBrains specific template is maintained in a separate JetBrains.gitignore that can
+#  be found at https://github.com/github/gitignore/blob/main/Global/JetBrains.gitignore
+#  and can be added to the global gitignore or merged into this file.  For a more nuclear
+#  option (not recommended) you can uncomment the following to ignore the entire idea folder.
+#.idea/
+
+bin/
+etc/
+lib64
+lib64/
+share/
+.virtual_documents/
diff --git a/Untitled.ipynb b/Untitled.ipynb
new file mode 100644
index 0000000..363fcab
--- /dev/null
+++ b/Untitled.ipynb
@@ -0,0 +1,6 @@
+{
+ "cells": [],
+ "metadata": {},
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/micrograd.ipynb b/micrograd.ipynb
new file mode 100644
index 0000000..c06ed25
--- /dev/null
+++ b/micrograd.ipynb
@@ -0,0 +1,24410 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "6ba1fbfd-0c9b-41cc-8c91-109b7e7c75ce",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import math\n",
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "import random\n",
+    "%matplotlib inline"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "6c68e697-08a6-437a-b70b-10d07fc25303",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def f(x):\n",
+    "    return 3*x**2 - 4*x + 5"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "329d0306-7585-43c3-809e-1881c04186eb",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "20.0"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "f(3.0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "d9fe6d4a-f217-4140-ab5d-aa94b2873f96",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x7bab3c22a960>]"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "xs = np.arange(-5, 5, 0.25)\n",
+    "ys = f(xs)\n",
+    "ys\n",
+    "plt.plot(xs, ys)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "c529bf0b-bc62-44aa-972d-f3bc5f062281",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "14.000001158365194"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "h = 0.000000001\n",
+    "x = 3.0\n",
+    "(f(x + h) - f(x))/h"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "9033878d-ae71-4347-ad2d-7b346cd7e3cc",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "4.0\n"
+     ]
+    }
+   ],
+   "source": [
+    "a = 2.0\n",
+    "b = -3.0\n",
+    "c = 10.0\n",
+    "d = a*b + c\n",
+    "print(d)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "4552a24e-b104-48cb-8af7-d25810616d6e",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "d1 4.0\n",
+      "d2 4.000002\n",
+      "slope 2.000000000279556\n"
+     ]
+    }
+   ],
+   "source": [
+    "h = 0.000001\n",
+    "\n",
+    "a = 2.0\n",
+    "b = -3.0\n",
+    "c = 10.0\n",
+    "\n",
+    "d1 = a*b + c\n",
+    "b += h\n",
+    "d2 = a*b + c\n",
+    "\n",
+    "print('d1', d1)\n",
+    "print('d2', d2)\n",
+    "print('slope', (d2 - d1)/h)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 99,
+   "id": "c8b07ebe-ddab-4b6d-bb8b-a57962122bca",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Value(data=-8.0)"
+      ]
+     },
+     "execution_count": 99,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "class Value:\n",
+    "\n",
+    "    def __init__(self, data, _children=(), _op='', label='', tag=''):\n",
+    "        self.data = data\n",
+    "        self.grad = 0.0\n",
+    "        self._prev = set(_children)\n",
+    "        self._backward = lambda: None\n",
+    "        self._op = _op\n",
+    "        self.label = label\n",
+    "        self.tag = tag\n",
+    "\n",
+    "    def __repr__(self):\n",
+    "        return f\"Value(data={self.data})\"\n",
+    "\n",
+    "    def __add__(self, other):\n",
+    "        other = other if isinstance(other, Value) else Value(float(other), label=f'const: {other}', tag=self.tag)\n",
+    "        out = Value(self.data + other.data, (self, other), '+', tag=self.tag)\n",
+    "\n",
+    "\n",
+    "        def _backward():\n",
+    "            self.grad += 1.0 * out.grad\n",
+    "            other.grad += 1.0 * out.grad\n",
+    "            \n",
+    "        out._backward = _backward\n",
+    "        \n",
+    "        return out\n",
+    "\n",
+    "    def __radd__(self, other):\n",
+    "        return self + other\n",
+    "\n",
+    "    def __neg__(self):\n",
+    "        return self * -1\n",
+    "\n",
+    "    def __sub__(self, other):\n",
+    "        return self + (-other)\n",
+    "\n",
+    "    def __mul__(self, other):\n",
+    "        other = other if isinstance(other, Value) else Value(float(other), label=f'const: {other}', tag=self.tag)\n",
+    "        out = Value(self.data * other.data, (self, other), '*', tag=self.tag)\n",
+    "\n",
+    "        def _backward():\n",
+    "            self.grad += other.data * out.grad\n",
+    "            other.grad += self.data * out.grad\n",
+    "            \n",
+    "        out._backward = _backward\n",
+    "\n",
+    "        return out\n",
+    "\n",
+    "    def __rmul__(self, other):\n",
+    "        return self * other\n",
+    "\n",
+    "    def __truediv__(self, other):\n",
+    "        return self * other**-1\n",
+    "\n",
+    "    def __pow__(self, other):\n",
+    "        assert isinstance(other, (int, float))\n",
+    "        other = float(other)\n",
+    "        out = Value(self.data**other, (self,), f'**{other}', tag=self.tag)\n",
+    "\n",
+    "        def _backward():\n",
+    "            self.grad += (other * self.data**(other -1)) * out.grad\n",
+    "        out._backward = _backward\n",
+    "        \n",
+    "        return out\n",
+    "\n",
+    "    def tanh(self):\n",
+    "        n = self.data\n",
+    "        t = (math.exp(2 * n) - 1) / (math.exp(2 * n) + 1)\n",
+    "        out = Value(t, (self, ), 'tanh', tag=self.tag)\n",
+    "\n",
+    "        def _backward():\n",
+    "            self.grad += (1 - t**2) * out.grad\n",
+    "            \n",
+    "        out._backward = _backward\n",
+    "        \n",
+    "        return out\n",
+    "\n",
+    "    def exp(self):\n",
+    "        n = self.data\n",
+    "        out = Value(math.exp(n), (self, ), 'exp', tag=self.tag)\n",
+    "\n",
+    "        def _backward():\n",
+    "            self.grad += out.data * out.grad\n",
+    "        out._backward = _backward\n",
+    "\n",
+    "        return out\n",
+    "\n",
+    "    \n",
+    "\n",
+    "    def backward(self):\n",
+    "        self.grad = 1.0\n",
+    "        topo = []\n",
+    "        visited = set()\n",
+    "        def build_topo(v):\n",
+    "            if v not in visited:\n",
+    "                visited.add(v)\n",
+    "                for child in v._prev:\n",
+    "                    build_topo(child)\n",
+    "                topo.append(v)\n",
+    "        build_topo(self)\n",
+    "\n",
+    "        for node in reversed(topo):\n",
+    "            node._backward()\n",
+    "\n",
+    "    \n",
+    "a = Value(2.0, label='a', tag='1,a')\n",
+    "b = Value(-3.0, label='b', tag='1,a')\n",
+    "c = Value(10.0, label='c', tag='2,a')\n",
+    "e = a*b; e.label = 'e'; e.tag='2,a'\n",
+    "d = e + c; d.label='d'; d.tag='3'\n",
+    "f = Value(-2.0, label='f', tag='3')\n",
+    "L = d * f; L.label='L'\n",
+    "L"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "72f770c5-27af-4f41-a4e3-4c234a03e0af",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from graphviz import Digraph\n",
+    "from collections import defaultdict\n",
+    "\n",
+    "def trace(root):\n",
+    "    nodes, edges = set(), set()\n",
+    "    def build(v):\n",
+    "        if v not in nodes:\n",
+    "            nodes.add(v)\n",
+    "            for child in v._prev:\n",
+    "                edges.add((child, v))\n",
+    "                build(child)\n",
+    "    build(root)\n",
+    "    return nodes, edges\n",
+    "\n",
+    "\n",
+    "def create_subgraph(dot, nodes, depth=0):\n",
+    "    if nodes:\n",
+    "        # Group nodes by the current tag at this depth\n",
+    "        grouped_nodes = defaultdict(list)\n",
+    "        for n in nodes:\n",
+    "            tags = n.tag.split(',') if n.tag else []\n",
+    "            if len(tags) > depth:\n",
+    "                grouped_nodes[tags[depth]].append(n)\n",
+    "            else:\n",
+    "                grouped_nodes[None].append(n)\n",
+    "        \n",
+    "        # Create subgraphs for each tag\n",
+    "        for tag, grouped in grouped_nodes.items():\n",
+    "            if tag is not None:\n",
+    "                with dot.subgraph(name='cluster_' + tag) as c:\n",
+    "                    c.attr(label=tag)\n",
+    "                    create_subgraph(c, grouped, depth + 1)\n",
+    "            else:\n",
+    "                for n in grouped:\n",
+    "                    uid = str(id(n))\n",
+    "                    dot.node(name=uid, label='{ %s | data %.4f | grad %.4f }' % (n.label, n.data, n.grad), shape='record')\n",
+    "                    if n._op:\n",
+    "                        dot.node(name=uid + n._op, label=n._op)\n",
+    "                        dot.edge(uid + n._op, uid)\n",
+    "\n",
+    "def draw_dot(root):\n",
+    "    dot = Digraph(format='svg', graph_attr={'rankdir': 'LR', \"beautify\": 'true'}, engine='dot')\n",
+    "    \n",
+    "    nodes, edges = trace(root)\n",
+    "\n",
+    "    create_subgraph(dot, nodes)\n",
+    "\n",
+    "    # Add edges\n",
+    "    for n1, n2 in edges:\n",
+    "        dot.edge(str(id(n1)), str(id(n2)) + n2._op)\n",
+    "\n",
+    "    return dot"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 181,
+   "id": "d3094b2a-c81f-4573-b8b0-d15a8f4ae8bf",
+   "metadata": {},
+   "outputs": [
+    {
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+   "source": [
+    "draw_dot(L)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "ffa5d665-0665-44b5-9a31-1296c3c3e79e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dL / dc\n",
+    "\n",
+    "dL / dD = -2\n",
+    "\n",
+    "dD / dC = 1.0\n",
+    "dD / dE = 1.0\n",
+    "\n",
+    "dL / dE = -2.0\n",
+    "dL / dC = -2.0\n",
+    "\n",
+    "\n",
+    "dE/dA = B = -3.0\n",
+    "\n",
+    "dL / dA = dL/dE * dE/dA\n",
+    "        = -2.0 * -3.0\n",
+    "        = -6\n",
+    "\n",
+    "dL / dC = dL/ dD * dD /dC\n",
+    "dl / dC = -2 * 1\n",
+    "        = -2\n",
+    "\n",
+    "d = c + e\n",
+    "\n",
+    "\n",
+    "d = c + e => d = e**c + e\n",
+    "\n",
+    "dD/dC = c*e**c \n",
+    "\n",
+    "\n",
+    "(f(x+h) - f(x))/h\n",
+    "((c+h + e) - (c + e)) /h\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 52,
+   "id": "742550ff-ee2c-4c95-8433-7221d8b09dcb",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "L.grad = 1.0\n",
+    "f.grad = 4\n",
+    "d.grad = -2\n",
+    "c.grad = -2\n",
+    "e.grad = -2\n",
+    "a.grad = 6\n",
+    "b.grad = -4"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 47,
+   "id": "9bc2d7e0-e6a8-4dc0-8b1d-526934970e04",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "3.9999999999995595\n"
+     ]
+    }
+   ],
+   "source": [
+    "def lol():\n",
+    "    h = 0.0001\n",
+    "    \n",
+    "    a = Value(2.0, label='a')\n",
+    "    b = Value(-3.0, label='b')\n",
+    "    c = Value(10.0,e label='c')\n",
+    "    e = a*b; e.label = 'e'\n",
+    "    d = e + c; d.label='d'\n",
+    "    f = Value(-2.0, label='f')\n",
+    "    L = d * f; L.label='L'\n",
+    "    L1 = L.data\n",
+    "\n",
+    "    a = Value(2.0, label='a')\n",
+    "    b = Value(-3.0, label='b')\n",
+    "    c = Value(10.0, label='c')\n",
+    "    e = a*b; e.label = 'e'\n",
+    "    d = e + c; d.label='d'\n",
+    "    f = Value(-2.0, label='f')\n",
+    "    L = d * f; L.label='L'\n",
+    "    L2 = L.data\n",
+    "\n",
+    "    print((L2 - L1)/h)\n",
+    "\n",
+    "lol()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 77,
+   "id": "5e3b2d81-024f-43a3-909e-5eeaa5009672",
+   "metadata": {},
+   "outputs": [
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+     },
+     "execution_count": 77,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Inputs\n",
+    "x1 = Value(2.0, label='x1')\n",
+    "x2 = Value(0, label='x2')\n",
+    "# Weights\n",
+    "w1 = Value(-3.0, label='w1')\n",
+    "w2 = Value(1.0, label='w2')\n",
+    "\n",
+    "# Bias\n",
+    "b = Value(6.8813735870195432, label='b')\n",
+    "\n",
+    "# Cell body\n",
+    "## Weights\n",
+    "x1w1 = x1*w1; x1w1.label = 'x1 * w1'\n",
+    "x2w2 = x2*w2; x2w2.label = 'x2 * w2'\n",
+    "\n",
+    "## Sum\n",
+    "x1w1x2w2 = x1w1 + x2w2; x1w1x2w2.label = 'x1w1 + x2w2'\n",
+    "\n",
+    "## Add Bias\n",
+    "n = x1w1x2w2 + b; n.label = 'n'\n",
+    "\n",
+    "\n",
+    "\n",
+    "#---\n",
+    "e = (2*n).exp(); e.label = 'e'\n",
+    "o = (e - 1) / (e + 1); o.label = 'o'\n",
+    "#---\n",
+    "#o = n.tanh(); o.label = 'o'\n",
+    "\n",
+    "o.backward()\n",
+    "\n",
+    "draw_dot(o)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 76,
+   "id": "5d9675c6-ccb7-4c30-814f-cc2fd8e16ebc",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "o.grad = 1.0\n",
+    "o._backward()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 84,
+   "id": "9ffb0d44-28a0-4c74-a6fd-c810f5d67cbd",
+   "metadata": {},
+   "outputs": [
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+    "draw_dot(o)"
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+   "execution_count": 83,
+   "id": "3fbb7b8d-7b01-42be-9887-c761f995f789",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "x2w2._backward()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "5dddb897-b089-4ece-a5a6-2a0158d776a3",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Value(data=-2.0)"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "a = Value(2.0)\n",
+    "b = Value(4.0)\n",
+    "a-b"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 46,
+   "id": "6c1691fa-d7a1-47fe-8b63-576aaa3fcbdd",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "class Neuron:\n",
+    "\n",
+    "    def _trace(self, root, tag):\n",
+    "        nodes, edges = set(), set()\n",
+    "        def build(v):\n",
+    "            if v not in nodes:\n",
+    "                nodes.add(v)\n",
+    "                v.tag = tag\n",
+    "                for child in v._prev:\n",
+    "                    if child.tag != tag:\n",
+    "                        edges.add((child, v))\n",
+    "                        build(child)\n",
+    "        build(root)\n",
+    "        return nodes, edges\n",
+    "\n",
+    "    def __init__(self, nin, tag=''):\n",
+    "        if tag == '':\n",
+    "            tag = str(id(self))\n",
+    "        else:\n",
+    "            tag = tag + \",\" +str(id(self))\n",
+    "        self.tag = tag\n",
+    "        self.w = [Value(random.uniform(-1, 1), label=f'w{i}', tag=tag) for i in range(nin)]\n",
+    "        self.b = Value(random.uniform(-1, 1), label='b', tag=tag)\n",
+    "\n",
+    "    def __call__(self, x):\n",
+    "        tag = self.tag\n",
+    "        act = sum((wi * xi for wi, xi in zip(self.w, x)), self.b);\n",
+    "        out = act.tanh(); out.tag = tag\n",
+    "\n",
+    "        self._trace(out, tag)\n",
+    "        \n",
+    "        return out\n",
+    "\n",
+    "    def parameters(self):\n",
+    "        return self.w + [self.b]\n",
+    "\n",
+    "\n",
+    "class Layer:\n",
+    "\n",
+    "    def __init__(self, nin, nout):\n",
+    "        tag = str(id(self))\n",
+    "        self.neurons = [Neuron(nin, tag=tag) for _ in range(nout)]\n",
+    "\n",
+    "    def __call__(self, x):\n",
+    "        outs = [n(x) for n in self.neurons]\n",
+    "        return outs\n",
+    "\n",
+    "    def parameters(self):\n",
+    "        return [p for neuron in self.neurons for p in neuron.parameters()]\n",
+    "        \n",
+    "\n",
+    "class MultiLayerPerceptron:\n",
+    "\n",
+    "    def __init__(self, nin, nouts):\n",
+    "        sz = [nin] + nouts\n",
+    "        self.layers = [Layer(sz[i], sz[i + 1]) for i in range(len(nouts))]\n",
+    "\n",
+    "    def __call__(self, x):\n",
+    "        for layer in self.layers:\n",
+    "            x = layer(x)\n",
+    "        return x\n",
+    "\n",
+    "    def parameters(self):\n",
+    "        return [p for layer in self.layers for p in layer.parameters()]\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 60,
+   "id": "83065bf5-7f8c-4320-945a-1012352b83d2",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "x = [2.0, 3.0, -1.0]\n",
+    "n = MultiLayerPerceptron(3, [4, 4, 1])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 54,
+   "id": "fc9534a4-d900-4ea3-a161-9ab5fd620d66",
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
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+       "<title>125323800077536tanh&#45;&gt;125323800077536</title>\n",
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+       "<text text-anchor=\"middle\" x=\"133.12\" y=\"-2276.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
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+       "<g id=\"edge498\" class=\"edge\">\n",
+       "<title>125323800110880&#45;&gt;125323800111984*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1271.12\" y=\"-2572.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.9610</text>\n",
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+       "<g id=\"edge824\" class=\"edge\">\n",
+       "<title>125323800078304&#45;&gt;125323800079984+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1255.11,-2595.4C1282.09,-2609.6 1319.06,-2629.04 1344.99,-2642.68\"/>\n",
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+       "<title>125323800078304+&#45;&gt;125323800078304</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1072.54,-2462.71C1089.2,-2489.67 1120.6,-2540.08 1124.25,-2543 1129.28,-2547.02 1134.83,-2550.6 1140.63,-2553.76\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"135.38\" y=\"-2331.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.0000</text>\n",
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+       "<g id=\"edge775\" class=\"edge\">\n",
+       "<title>125323800078400&#45;&gt;125323800078736*</title>\n",
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+       "<g id=\"edge855\" class=\"edge\">\n",
+       "<title>125323800078496&#45;&gt;125323800077536tanh</title>\n",
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+       "<title>125323800079216&#45;&gt;125323800079408*</title>\n",
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+       "<title>125323804471808&#45;&gt;125323800093824+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"793.62\" y=\"-2496.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 0.5</text>\n",
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+       "<title>125323800082816&#45;&gt;125323800080080*</title>\n",
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+       "<title>125323804474688&#45;&gt;125323800093920*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"423.88\" y=\"-1998.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
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+       "<title>125323800094928&#45;&gt;125323800095024+</title>\n",
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+       "<title>125323804464608&#45;&gt;125323800601584*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-1907.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
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+       "<g id=\"edge819\" class=\"edge\">\n",
+       "<title>125323804464608&#45;&gt;125323800081232*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"845.62\" y=\"-1585.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.6060</text>\n",
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+       "<text text-anchor=\"middle\" x=\"926.12\" y=\"-1585.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0419</text>\n",
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+       "<!-- 125323800107472&#45;&gt;125323800105696+ -->\n",
+       "<g id=\"edge782\" class=\"edge\">\n",
+       "<title>125323800107472&#45;&gt;125323800105696+</title>\n",
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+       "<title>125323800107472*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-1832.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323800107472*&#45;&gt;125323800107472 -->\n",
+       "<g id=\"edge231\" class=\"edge\">\n",
+       "<title>125323800107472*&#45;&gt;125323800107472</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M708.54,-1823.8C712.33,-1819.7 715.99,-1814.98 718.5,-1810 757.58,-1732.47 694.42,-1680.68 754.5,-1618 760.46,-1611.78 767.51,-1606.82 775.15,-1602.88\"/>\n",
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+       "<g id=\"edge619\" class=\"edge\">\n",
+       "<title>125323800107760&#45;&gt;125323800107472*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M628.84,-1838C637.34,-1838 645.45,-1838 652.84,-1838\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"652.65,-1841.5 662.65,-1838 652.65,-1834.5 652.65,-1841.5\"/>\n",
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+       "<g id=\"node515\" class=\"node\">\n",
+       "<title>125323800600672</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"24,-1765 24,-1801 258.75,-1801 258.75,-1765 24,-1765\"/>\n",
+       "<text text-anchor=\"middle\" x=\"58.62\" y=\"-1778.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"133.12\" y=\"-1778.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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+       "<title>125323800600720*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"321.75\" y=\"-1777.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323800600672&#45;&gt;125323800600720* -->\n",
+       "<g id=\"edge433\" class=\"edge\">\n",
+       "<title>125323800600672&#45;&gt;125323800600720*</title>\n",
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+       "<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-1786.5 293.03,-1783 283.03,-1779.5 283.03,-1786.5\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"473.62\" y=\"-1778.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.7892</text>\n",
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+       "<text text-anchor=\"middle\" x=\"556.38\" y=\"-1778.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.1529</text>\n",
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+       "<g id=\"node519\" class=\"node\">\n",
+       "<title>125323800600912+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-1777.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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+       "<!-- 125323800600720&#45;&gt;125323800600912+ -->\n",
+       "<g id=\"edge757\" class=\"edge\">\n",
+       "<title>125323800600720&#45;&gt;125323800600912+</title>\n",
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+       "<g id=\"edge232\" class=\"edge\">\n",
+       "<title>125323800600720*&#45;&gt;125323800600720</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M348.95,-1783C363.47,-1783 382.56,-1783 402.4,-1783\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"402.3,-1786.5 412.3,-1783 402.3,-1779.5 402.3,-1786.5\"/>\n",
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+       "<polygon fill=\"none\" stroke=\"black\" points=\"781.5,-2122 781.5,-2158 971.25,-2158 971.25,-2122 781.5,-2122\"/>\n",
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+       "<polyline fill=\"none\" stroke=\"black\" points=\"801.25,-2122.5 801.25,-2158\"/>\n",
+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-2135.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.1337</text>\n",
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+       "<title>125323800601344+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-2134.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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+       "<!-- 125323800600912&#45;&gt;125323800601344+ -->\n",
+       "<g id=\"edge597\" class=\"edge\">\n",
+       "<title>125323800600912&#45;&gt;125323800601344+</title>\n",
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+       "<g id=\"edge233\" class=\"edge\">\n",
+       "<title>125323800600912+&#45;&gt;125323800600912</title>\n",
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+       "<text text-anchor=\"middle\" x=\"845.62\" y=\"-1530.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.4447</text>\n",
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+       "<text text-anchor=\"middle\" x=\"926.12\" y=\"-1530.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0419</text>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-1557.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323800109536+&#45;&gt;125323800109536 -->\n",
+       "<g id=\"edge234\" class=\"edge\">\n",
+       "<title>125323800109536+&#45;&gt;125323800109536</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M718.31,-1559.05C733.42,-1556.73 753.58,-1553.65 774.4,-1550.46\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"500.62\" y=\"-2108.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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+       "<title>125323800601152*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-2107.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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+       "<title>125323800601152*&#45;&gt;125323800601152</title>\n",
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+       "<polygon fill=\"none\" stroke=\"black\" points=\"26.25,-1545 26.25,-1581 256.5,-1581 256.5,-1545 26.25,-1545\"/>\n",
+       "<text text-anchor=\"middle\" x=\"60.88\" y=\"-1558.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"95.5,-1545.5 95.5,-1581\"/>\n",
+       "<text text-anchor=\"middle\" x=\"135.38\" y=\"-1558.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"175.25,-1545.5 175.25,-1581\"/>\n",
+       "<text text-anchor=\"middle\" x=\"215.88\" y=\"-1558.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0331</text>\n",
+       "</g>\n",
+       "<!-- 125323800113424&#45;&gt;125323800110592* -->\n",
+       "<g id=\"edge467\" class=\"edge\">\n",
+       "<title>125323800113424&#45;&gt;125323800110592*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M256.86,-1563C266.14,-1563 275.02,-1563 283.05,-1563\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-1566.5 293.03,-1563 283.03,-1559.5 283.03,-1566.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800080704 -->\n",
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+       "<title>125323800080704</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"414,-1600 414,-1636 599.25,-1636 599.25,-1600 414,-1600\"/>\n",
+       "<text text-anchor=\"middle\" x=\"423.88\" y=\"-1613.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"433.75,-1600.5 433.75,-1636\"/>\n",
+       "<text text-anchor=\"middle\" x=\"473.62\" y=\"-1613.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.5784</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"513.5,-1600.5 513.5,-1636\"/>\n",
+       "<text text-anchor=\"middle\" x=\"556.38\" y=\"-1613.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0519</text>\n",
+       "</g>\n",
+       "<!-- 125323800080992+ -->\n",
+       "<g id=\"node547\" class=\"node\">\n",
+       "<title>125323800080992+</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"691.5\" cy=\"-1645\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-1639.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323800080704&#45;&gt;125323800080992+ -->\n",
+       "<g id=\"edge494\" class=\"edge\">\n",
+       "<title>125323800080704&#45;&gt;125323800080992+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M599.6,-1631.58C618.74,-1634.4 637.84,-1637.23 653.56,-1639.55\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"652.97,-1643 663.37,-1640.99 653.99,-1636.07 652.97,-1643\"/>\n",
+       "</g>\n",
+       "<!-- 125323800080704* -->\n",
+       "<g id=\"node542\" class=\"node\">\n",
+       "<title>125323800080704*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"321.75\" y=\"-1612.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323800080704*&#45;&gt;125323800080704 -->\n",
+       "<g id=\"edge243\" class=\"edge\">\n",
+       "<title>125323800080704*&#45;&gt;125323800080704</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M348.95,-1618C363.47,-1618 382.56,-1618 402.4,-1618\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"402.3,-1621.5 412.3,-1618 402.3,-1614.5 402.3,-1621.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800080848 -->\n",
+       "<g id=\"node543\" class=\"node\">\n",
+       "<title>125323800080848</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"781.5,-1682 781.5,-1718 971.25,-1718 971.25,-1682 781.5,-1682\"/>\n",
+       "<text text-anchor=\"middle\" x=\"791.38\" y=\"-1695.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"801.25,-1682.5 801.25,-1718\"/>\n",
+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-1695.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.8179</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"885.5,-1682.5 885.5,-1718\"/>\n",
+       "<text text-anchor=\"middle\" x=\"928.38\" y=\"-1695.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0519</text>\n",
+       "</g>\n",
+       "<!-- 125323800080848&#45;&gt;125323800078064+ -->\n",
+       "<g id=\"edge833\" class=\"edge\">\n",
+       "<title>125323800080848&#45;&gt;125323800078064+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M971.49,-1700C989.58,-1700 1007.54,-1700 1022.51,-1700\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.32,-1703.5 1032.32,-1700 1022.32,-1696.5 1022.32,-1703.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800080848* -->\n",
+       "<g id=\"node544\" class=\"node\">\n",
+       "<title>125323800080848*</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"691.5\" cy=\"-1893\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-1887.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323800080848*&#45;&gt;125323800080848 -->\n",
+       "<g id=\"edge244\" class=\"edge\">\n",
+       "<title>125323800080848*&#45;&gt;125323800080848</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M708.3,-1878.68C712.09,-1874.58 715.82,-1869.88 718.5,-1865 748.83,-1809.83 709.34,-1771.86 754.5,-1728 759.52,-1723.13 765.21,-1719.04 771.33,-1715.61\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"772.44,-1718.97 779.88,-1711.43 769.36,-1712.68 772.44,-1718.97\"/>\n",
+       "</g>\n",
+       "<!-- 125323800080944 -->\n",
+       "<g id=\"node545\" class=\"node\">\n",
+       "<title>125323800080944</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"391.5,-1875 391.5,-1911 621.75,-1911 621.75,-1875 391.5,-1875\"/>\n",
+       "<text text-anchor=\"middle\" x=\"426.12\" y=\"-1888.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"460.75,-1875.5 460.75,-1911\"/>\n",
+       "<text text-anchor=\"middle\" x=\"500.62\" y=\"-1888.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"540.5,-1875.5 540.5,-1911\"/>\n",
+       "<text text-anchor=\"middle\" x=\"581.12\" y=\"-1888.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0315</text>\n",
+       "</g>\n",
+       "<!-- 125323800080944&#45;&gt;125323800080848* -->\n",
+       "<g id=\"edge605\" class=\"edge\">\n",
+       "<title>125323800080944&#45;&gt;125323800080848*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M622.14,-1893C633.05,-1893 643.5,-1893 652.79,-1893\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"652.78,-1896.5 662.78,-1893 652.78,-1889.5 652.78,-1896.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800080992 -->\n",
+       "<g id=\"node546\" class=\"node\">\n",
+       "<title>125323800080992</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"783.75,-1627 783.75,-1663 969,-1663 969,-1627 783.75,-1627\"/>\n",
+       "<text text-anchor=\"middle\" x=\"793.62\" y=\"-1640.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"803.5,-1627.5 803.5,-1663\"/>\n",
+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-1640.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.6555</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"883.25,-1627.5 883.25,-1663\"/>\n",
+       "<text text-anchor=\"middle\" x=\"926.12\" y=\"-1640.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0519</text>\n",
+       "</g>\n",
+       "<!-- 125323800080992&#45;&gt;125323800078064+ -->\n",
+       "<g id=\"edge447\" class=\"edge\">\n",
+       "<title>125323800080992&#45;&gt;125323800078064+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M965.7,-1663.48C976.75,-1666.37 987.82,-1669.55 998.25,-1673 1008.29,-1676.32 1018.95,-1680.65 1028.54,-1684.86\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1026.89,-1687.96 1037.44,-1688.89 1029.77,-1681.58 1026.89,-1687.96\"/>\n",
+       "</g>\n",
+       "<!-- 125323800080992+&#45;&gt;125323800080992 -->\n",
+       "<g id=\"edge245\" class=\"edge\">\n",
+       "<title>125323800080992+&#45;&gt;125323800080992</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M718.7,-1645C733.22,-1645 752.31,-1645 772.15,-1645\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"772.05,-1648.5 782.05,-1645 772.05,-1641.5 772.05,-1648.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800081088 -->\n",
+       "<g id=\"node548\" class=\"node\">\n",
+       "<title>125323800081088</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"24,-1600 24,-1636 258.75,-1636 258.75,-1600 24,-1600\"/>\n",
+       "<text text-anchor=\"middle\" x=\"58.62\" y=\"-1613.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 2.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"93.25,-1600.5 93.25,-1636\"/>\n",
+       "<text text-anchor=\"middle\" x=\"133.12\" y=\"-1613.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"173,-1600.5 173,-1636\"/>\n",
+       "<text text-anchor=\"middle\" x=\"215.88\" y=\"-1613.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0410</text>\n",
+       "</g>\n",
+       "<!-- 125323800081088&#45;&gt;125323800080704* -->\n",
+       "<g id=\"edge791\" class=\"edge\">\n",
+       "<title>125323800081088&#45;&gt;125323800080704*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M258.86,-1618C267.44,-1618 275.64,-1618 283.1,-1618\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-1621.5 293.03,-1618 283.03,-1614.5 283.03,-1621.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800081232 -->\n",
+       "<g id=\"node549\" class=\"node\">\n",
+       "<title>125323800081232</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"1124.25,-1895 1124.25,-1931 1314,-1931 1314,-1895 1124.25,-1895\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1134.12\" y=\"-1908.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1144,-1895.5 1144,-1931\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1186.12\" y=\"-1908.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.2780</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1228.25,-1895.5 1228.25,-1931\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1271.12\" y=\"-1908.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0519</text>\n",
+       "</g>\n",
+       "<!-- 125323800081232&#45;&gt;125323800081904+ -->\n",
+       "<g id=\"edge435\" class=\"edge\">\n",
+       "<title>125323800081232&#45;&gt;125323800081904+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1314.39,-1913C1322.71,-1913 1330.76,-1913 1338.16,-1913\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1338.02,-1916.5 1348.02,-1913 1338.02,-1909.5 1338.02,-1916.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800081232*&#45;&gt;125323800081232 -->\n",
+       "<g id=\"edge246\" class=\"edge\">\n",
+       "<title>125323800081232*&#45;&gt;125323800081232</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1088.69,-1913C1095.84,-1913 1104.03,-1913 1112.74,-1913\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1112.51,-1916.5 1122.51,-1913 1112.51,-1909.5 1112.51,-1916.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800081424 -->\n",
+       "<g id=\"node551\" class=\"node\">\n",
+       "<title>125323800081424</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"754.5,-1792 754.5,-1828 998.25,-1828 998.25,-1792 754.5,-1792\"/>\n",
+       "<text text-anchor=\"middle\" x=\"791.38\" y=\"-1805.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"828.25,-1792.5 828.25,-1828\"/>\n",
+       "<text text-anchor=\"middle\" x=\"870.38\" y=\"-1805.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"912.5,-1792.5 912.5,-1828\"/>\n",
+       "<text text-anchor=\"middle\" x=\"955.38\" y=\"-1805.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0144</text>\n",
+       "</g>\n",
+       "<!-- 125323800081424&#45;&gt;125323800081232* -->\n",
+       "<g id=\"edge552\" class=\"edge\">\n",
+       "<title>125323800081424&#45;&gt;125323800081232*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M979.59,-1828.47C986.1,-1831.22 992.39,-1834.37 998.25,-1838 1017.53,-1849.92 1033.63,-1869.94 1044.58,-1886.3\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1041.58,-1888.1 1049.91,-1894.64 1047.47,-1884.33 1041.58,-1888.1\"/>\n",
+       "</g>\n",
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+       "<g id=\"node552\" class=\"node\">\n",
+       "<title>125323800081520</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"1762.12,-2067 1762.12,-2103 1951.88,-2103 1951.88,-2067 1762.12,-2067\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1772\" y=\"-2080.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1781.88,-2067.5 1781.88,-2103\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1824\" y=\"-2080.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.8938</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1866.12,-2067.5 1866.12,-2103\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1909\" y=\"-2080.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.2581</text>\n",
+       "</g>\n",
+       "<!-- 125323800081520&#45;&gt;125323800102528* -->\n",
+       "<g id=\"edge675\" class=\"edge\">\n",
+       "<title>125323800081520&#45;&gt;125323800102528*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1952.07,-2099.3C1958.03,-2102.99 1963.41,-2107.5 1967.88,-2113 2011.33,-2166.53 1970.26,-2668.36 1994.25,-2733 2016.71,-2793.52 2030.8,-2810.8 2084.25,-2847 2161.97,-2899.64 2229.83,-2832.36 2286.75,-2907 2346.29,-2985.07 2285.11,-4583.32 2322.75,-4674 2323.39,-4675.54 2324.16,-4677.04 2325.03,-4678.5\"/>\n",
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+       "<!-- 125323800081520&#45;&gt;125323800104400* -->\n",
+       "<g id=\"edge658\" class=\"edge\">\n",
+       "<title>125323800081520&#45;&gt;125323800104400*</title>\n",
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+       "<!-- 125323800081520&#45;&gt;125323800106416* -->\n",
+       "<g id=\"edge645\" class=\"edge\">\n",
+       "<title>125323800081520&#45;&gt;125323800106416*</title>\n",
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+       "<!-- 125323800081520&#45;&gt;125323800108480* -->\n",
+       "<g id=\"edge718\" class=\"edge\">\n",
+       "<title>125323800081520&#45;&gt;125323800108480*</title>\n",
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+       "<!-- 125323800081520tanh -->\n",
+       "<g id=\"node553\" class=\"node\">\n",
+       "<title>125323800081520tanh</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1692.75\" cy=\"-1995\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1692.75\" y=\"-1989.95\" font-family=\"Times,serif\" font-size=\"14.00\">tanh</text>\n",
+       "</g>\n",
+       "<!-- 125323800081520tanh&#45;&gt;125323800081520 -->\n",
+       "<g id=\"edge247\" class=\"edge\">\n",
+       "<title>125323800081520tanh&#45;&gt;125323800081520</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1702.01,-2012.41C1709.75,-2026.83 1722.69,-2046.72 1739.75,-2058 1743.48,-2060.47 1747.41,-2062.71 1751.48,-2064.75\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"1501.88\" y=\"-1959.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.4404</text>\n",
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+       "<text text-anchor=\"middle\" x=\"1586.88\" y=\"-1959.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0519</text>\n",
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+       "<!-- 125323800081904&#45;&gt;125323800081520tanh -->\n",
+       "<g id=\"edge604\" class=\"edge\">\n",
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+       "<title>125323800082384+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-893.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
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+       "<g id=\"edge562\" class=\"edge\">\n",
+       "<title>125323804467968&#45;&gt;125323800082384+</title>\n",
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+       "<!-- 125323800602352 -->\n",
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+       "<title>125323800602352</title>\n",
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+       "<text text-anchor=\"middle\" x=\"60.88\" y=\"-1031.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"95.5,-1018.5 95.5,-1054\"/>\n",
+       "<text text-anchor=\"middle\" x=\"135.38\" y=\"-1031.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"215.88\" y=\"-1031.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.1217</text>\n",
+       "</g>\n",
+       "<!-- 125323800602400* -->\n",
+       "<g id=\"node580\" class=\"node\">\n",
+       "<title>125323800602400*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"321.75\" y=\"-1030.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
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+       "<g id=\"edge533\" class=\"edge\">\n",
+       "<title>125323800602352&#45;&gt;125323800602400*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M256.86,-1036C266.14,-1036 275.02,-1036 283.05,-1036\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-1039.5 293.03,-1036 283.03,-1032.5 283.03,-1039.5\"/>\n",
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+       "<title>125323800602400</title>\n",
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+       "<text text-anchor=\"middle\" x=\"421.62\" y=\"-1031.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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+       "<text text-anchor=\"middle\" x=\"473.62\" y=\"-1031.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.6748</text>\n",
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+       "<text text-anchor=\"middle\" x=\"558.62\" y=\"-1031.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.1804</text>\n",
+       "</g>\n",
+       "<!-- 125323800602400&#45;&gt;125323800602592+ -->\n",
+       "<g id=\"edge682\" class=\"edge\">\n",
+       "<title>125323800602400&#45;&gt;125323800602592+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M601.74,-1036C619.83,-1036 637.79,-1036 652.76,-1036\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"652.57,-1039.5 662.57,-1036 652.57,-1032.5 652.57,-1039.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800602400*&#45;&gt;125323800602400 -->\n",
+       "<g id=\"edge256\" class=\"edge\">\n",
+       "<title>125323800602400*&#45;&gt;125323800602400</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M348.95,-1036C362.9,-1036 381.09,-1036 400.1,-1036\"/>\n",
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+       "<title>125323800602592</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"781.5,-1376 781.5,-1412 971.25,-1412 971.25,-1376 781.5,-1376\"/>\n",
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+       "<polyline fill=\"none\" stroke=\"black\" points=\"801.25,-1376.5 801.25,-1412\"/>\n",
+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-1389.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.2873</text>\n",
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+       "<text text-anchor=\"middle\" x=\"928.38\" y=\"-1389.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.1804</text>\n",
+       "</g>\n",
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+       "<g id=\"node587\" class=\"node\">\n",
+       "<title>125323800603024+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-1388.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323800602592&#45;&gt;125323800603024+ -->\n",
+       "<g id=\"edge511\" class=\"edge\">\n",
+       "<title>125323800602592&#45;&gt;125323800603024+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M971.49,-1394C989.58,-1394 1007.54,-1394 1022.51,-1394\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.32,-1397.5 1032.32,-1394 1022.32,-1390.5 1022.32,-1397.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800602592+&#45;&gt;125323800602592 -->\n",
+       "<g id=\"edge257\" class=\"edge\">\n",
+       "<title>125323800602592+&#45;&gt;125323800602592</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M708.77,-1050.09C712.56,-1054.19 716.16,-1058.94 718.5,-1064 746.97,-1125.54 709.05,-1316.68 754.5,-1367 759.32,-1372.34 764.95,-1376.75 771.09,-1380.37\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"769.27,-1383.37 779.77,-1384.76 772.43,-1377.12 769.27,-1383.37\"/>\n",
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+       "<g id=\"node583\" class=\"node\">\n",
+       "<title>125323800602784</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"391.5,-1375 391.5,-1411 621.75,-1411 621.75,-1375 391.5,-1375\"/>\n",
+       "<text text-anchor=\"middle\" x=\"426.12\" y=\"-1388.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"460.75,-1375.5 460.75,-1411\"/>\n",
+       "<text text-anchor=\"middle\" x=\"500.62\" y=\"-1388.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"581.12\" y=\"-1388.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0093</text>\n",
+       "</g>\n",
+       "<!-- 125323800602784&#45;&gt;125323800602832* -->\n",
+       "<g id=\"edge488\" class=\"edge\">\n",
+       "<title>125323800602784&#45;&gt;125323800602832*</title>\n",
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+       "</g>\n",
+       "<!-- 125323800602832 -->\n",
+       "<g id=\"node584\" class=\"node\">\n",
+       "<title>125323800602832</title>\n",
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+       "<text text-anchor=\"middle\" x=\"791.38\" y=\"-1444.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"801.25,-1431.5 801.25,-1467\"/>\n",
+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-1444.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.0513</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"885.5,-1431.5 885.5,-1467\"/>\n",
+       "<text text-anchor=\"middle\" x=\"928.38\" y=\"-1444.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.1804</text>\n",
+       "</g>\n",
+       "<!-- 125323800602832&#45;&gt;125323800603024+ -->\n",
+       "<g id=\"edge778\" class=\"edge\">\n",
+       "<title>125323800602832&#45;&gt;125323800603024+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M969.33,-1430.54C979.17,-1427.94 988.97,-1425.1 998.25,-1422 1008.43,-1418.61 1019.18,-1414.1 1028.83,-1409.69\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1030.24,-1412.9 1037.79,-1405.47 1027.25,-1406.56 1030.24,-1412.9\"/>\n",
+       "</g>\n",
+       "<!-- 125323800602832*&#45;&gt;125323800602832 -->\n",
+       "<g id=\"edge258\" class=\"edge\">\n",
+       "<title>125323800602832*&#45;&gt;125323800602832</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M713.26,-1404.1C725.09,-1410.07 740.33,-1417.17 754.5,-1422 760.22,-1423.95 766.15,-1425.8 772.16,-1427.55\"/>\n",
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+       "<polygon fill=\"none\" stroke=\"black\" points=\"1124.25,-1376 1124.25,-1412 1314,-1412 1314,-1376 1124.25,-1376\"/>\n",
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+       "<polyline fill=\"none\" stroke=\"black\" points=\"1144,-1376.5 1144,-1412\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1186.12\" y=\"-1389.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.3386</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1228.25,-1376.5 1228.25,-1412\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1271.12\" y=\"-1389.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.1804</text>\n",
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+       "<g id=\"node592\" class=\"node\">\n",
+       "<title>125323800603456+</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1377\" cy=\"-1394\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1377\" y=\"-1388.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323800603024&#45;&gt;125323800603456+ -->\n",
+       "<g id=\"edge665\" class=\"edge\">\n",
+       "<title>125323800603024&#45;&gt;125323800603456+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1314.39,-1394C1322.71,-1394 1330.76,-1394 1338.16,-1394\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1338.02,-1397.5 1348.02,-1394 1338.02,-1390.5 1338.02,-1397.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800603024+&#45;&gt;125323800603024 -->\n",
+       "<g id=\"edge259\" class=\"edge\">\n",
+       "<title>125323800603024+&#45;&gt;125323800603024</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1088.69,-1394C1095.84,-1394 1104.03,-1394 1112.74,-1394\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1112.51,-1397.5 1122.51,-1394 1112.51,-1390.5 1112.51,-1397.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800603216 -->\n",
+       "<g id=\"node588\" class=\"node\">\n",
+       "<title>125323800603216</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"754.5,-1321 754.5,-1357 998.25,-1357 998.25,-1321 754.5,-1321\"/>\n",
+       "<text text-anchor=\"middle\" x=\"791.38\" y=\"-1334.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"870.38\" y=\"-1334.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"955.38\" y=\"-1334.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.1586</text>\n",
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+       "<g id=\"node590\" class=\"node\">\n",
+       "<title>125323800603264*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-1333.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323800603216&#45;&gt;125323800603264* -->\n",
+       "<g id=\"edge641\" class=\"edge\">\n",
+       "<title>125323800603216&#45;&gt;125323800603264*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M998.59,-1339C1007.09,-1339 1015.2,-1339 1022.59,-1339\"/>\n",
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+       "<title>125323800603264</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"1124.25,-1321 1124.25,-1357 1314,-1357 1314,-1321 1124.25,-1321\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"1186.12\" y=\"-1334.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.8790</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1228.25,-1321.5 1228.25,-1357\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1271.12\" y=\"-1334.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.1804</text>\n",
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+       "<!-- 125323800603264&#45;&gt;125323800603456+ -->\n",
+       "<g id=\"edge379\" class=\"edge\">\n",
+       "<title>125323800603264&#45;&gt;125323800603456+</title>\n",
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+       "<g id=\"edge260\" class=\"edge\">\n",
+       "<title>125323800603264*&#45;&gt;125323800603264</title>\n",
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+       "<g id=\"node594\" class=\"node\">\n",
+       "<title>125323800603552tanh</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1692.75\" cy=\"-1434\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1692.75\" y=\"-1428.95\" font-family=\"Times,serif\" font-size=\"14.00\">tanh</text>\n",
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+       "<!-- 125323800603456&#45;&gt;125323800603552tanh -->\n",
+       "<g id=\"edge363\" class=\"edge\">\n",
+       "<title>125323800603456&#45;&gt;125323800603552tanh</title>\n",
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+       "<!-- 125323800603456+&#45;&gt;125323800603456 -->\n",
+       "<g id=\"edge261\" class=\"edge\">\n",
+       "<title>125323800603456+&#45;&gt;125323800603456</title>\n",
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+       "<polygon fill=\"black\" stroke=\"black\" points=\"1338.09,-1019.5 1348.09,-1016 1338.09,-1012.5 1338.09,-1019.5\"/>\n",
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+       "<title>125323800114144*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-1010.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323800114144*&#45;&gt;125323800114144 -->\n",
+       "<g id=\"edge268\" class=\"edge\">\n",
+       "<title>125323800114144*&#45;&gt;125323800114144</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1088.69,-1016C1096.98,-1016 1106.68,-1016 1116.98,-1016\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1116.83,-1019.5 1126.83,-1016 1116.83,-1012.5 1116.83,-1019.5\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"421.62\" y=\"-1086.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"458.5,-1073.5 458.5,-1109\"/>\n",
+       "<text text-anchor=\"middle\" x=\"500.62\" y=\"-1086.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"542.75,-1073.5 542.75,-1109\"/>\n",
+       "<text text-anchor=\"middle\" x=\"585.62\" y=\"-1086.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0072</text>\n",
+       "</g>\n",
+       "<!-- 125323800114192&#45;&gt;125323800114528* -->\n",
+       "<g id=\"edge361\" class=\"edge\">\n",
+       "<title>125323800114192&#45;&gt;125323800114528*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M628.84,-1091C637.34,-1091 645.45,-1091 652.84,-1091\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"652.65,-1094.5 662.65,-1091 652.65,-1087.5 652.65,-1094.5\"/>\n",
+       "</g>\n",
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+       "<g id=\"node609\" class=\"node\">\n",
+       "<title>125323800081664</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"781.5,-936 781.5,-972 971.25,-972 971.25,-936 781.5,-936\"/>\n",
+       "<text text-anchor=\"middle\" x=\"791.38\" y=\"-949.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"801.25,-936.5 801.25,-972\"/>\n",
+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-949.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.1540</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"885.5,-936.5 885.5,-972\"/>\n",
+       "<text text-anchor=\"middle\" x=\"928.38\" y=\"-949.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0244</text>\n",
+       "</g>\n",
+       "<!-- 125323800083344+ -->\n",
+       "<g id=\"node628\" class=\"node\">\n",
+       "<title>125323800083344+</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1061.25\" cy=\"-954\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-948.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323800081664&#45;&gt;125323800083344+ -->\n",
+       "<g id=\"edge589\" class=\"edge\">\n",
+       "<title>125323800081664&#45;&gt;125323800083344+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M971.49,-954C989.58,-954 1007.54,-954 1022.51,-954\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.32,-957.5 1032.32,-954 1022.32,-950.5 1022.32,-957.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800081664*&#45;&gt;125323800081664 -->\n",
+       "<g id=\"edge269\" class=\"edge\">\n",
+       "<title>125323800081664*&#45;&gt;125323800081664</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M708.3,-1131.68C712.09,-1127.57 715.81,-1122.88 718.5,-1118 748.67,-1063.24 709.6,-1025.52 754.5,-982 759.52,-977.13 765.22,-973.04 771.34,-969.62\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"795.88\" y=\"-839.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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+       "<text text-anchor=\"middle\" x=\"845.62\" y=\"-839.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0513</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"885.5,-826.5 885.5,-862\"/>\n",
+       "<text text-anchor=\"middle\" x=\"926.12\" y=\"-839.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.1399</text>\n",
+       "</g>\n",
+       "<!-- 125323800114528&#45;&gt;125323800114960+ -->\n",
+       "<g id=\"edge382\" class=\"edge\">\n",
+       "<title>125323800114528&#45;&gt;125323800114960+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M967.21,-844C986.83,-844 1006.55,-844 1022.76,-844\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.37,-847.5 1032.37,-844 1022.37,-840.5 1022.37,-847.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800114528*&#45;&gt;125323800114528 -->\n",
+       "<g id=\"edge270\" class=\"edge\">\n",
+       "<title>125323800114528*&#45;&gt;125323800114528</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M708.54,-1076.8C712.33,-1072.7 715.99,-1067.97 718.5,-1063 757.42,-985.88 694.69,-934.33 754.5,-872 760.46,-865.79 767.51,-860.83 775.16,-856.89\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"776.43,-860.16 784.14,-852.89 773.58,-853.76 776.43,-860.16\"/>\n",
+       "</g>\n",
+       "<!-- 125323800081952 -->\n",
+       "<g id=\"node613\" class=\"node\">\n",
+       "<title>125323800081952</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"26.25,-853 26.25,-889 256.5,-889 256.5,-853 26.25,-853\"/>\n",
+       "<text text-anchor=\"middle\" x=\"60.88\" y=\"-866.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 2.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"95.5,-853.5 95.5,-889\"/>\n",
+       "<text text-anchor=\"middle\" x=\"135.38\" y=\"-866.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"215.88\" y=\"-866.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0165</text>\n",
+       "</g>\n",
+       "<!-- 125323800082240* -->\n",
+       "<g id=\"node619\" class=\"node\">\n",
+       "<title>125323800082240*</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"321.75\" cy=\"-871\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"321.75\" y=\"-865.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323800081952&#45;&gt;125323800082240* -->\n",
+       "<g id=\"edge834\" class=\"edge\">\n",
+       "<title>125323800081952&#45;&gt;125323800082240*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M256.86,-871C266.14,-871 275.02,-871 283.05,-871\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-874.5 293.03,-871 283.03,-867.5 283.03,-874.5\"/>\n",
+       "</g>\n",
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+       "<g id=\"node614\" class=\"node\">\n",
+       "<title>125323800114864</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"761.25,-991 761.25,-1027 991.5,-1027 991.5,-991 761.25,-991\"/>\n",
+       "<text text-anchor=\"middle\" x=\"795.88\" y=\"-1004.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 0.5</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"830.5,-991.5 830.5,-1027\"/>\n",
+       "<text text-anchor=\"middle\" x=\"870.38\" y=\"-1004.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.5000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"910.25,-991.5 910.25,-1027\"/>\n",
+       "<text text-anchor=\"middle\" x=\"950.88\" y=\"-1004.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.1230</text>\n",
+       "</g>\n",
+       "<!-- 125323800114864&#45;&gt;125323800114144* -->\n",
+       "<g id=\"edge688\" class=\"edge\">\n",
+       "<title>125323800114864&#45;&gt;125323800114144*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M991.89,-1013.38C1002.8,-1013.8 1013.25,-1014.2 1022.54,-1014.56\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.4,-1018.05 1032.53,-1014.94 1022.67,-1011.06 1022.4,-1018.05\"/>\n",
+       "</g>\n",
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+       "<g id=\"node615\" class=\"node\">\n",
+       "<title>125323800114960</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"1126.5,-888 1126.5,-924 1311.75,-924 1311.75,-888 1126.5,-888\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1136.38\" y=\"-901.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-888.5 1146.25,-924\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1188.38\" y=\"-901.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.5854</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1230.5,-888.5 1230.5,-924\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1271.12\" y=\"-901.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.1399</text>\n",
+       "</g>\n",
+       "<!-- 125323800114960&#45;&gt;125323800112512+ -->\n",
+       "<g id=\"edge706\" class=\"edge\">\n",
+       "<title>125323800114960&#45;&gt;125323800112512+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1246.21,-924.41C1274.56,-944.41 1319.64,-976.23 1348.52,-996.61\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1346.22,-999.27 1356.41,-1002.17 1350.25,-993.55 1346.22,-999.27\"/>\n",
+       "</g>\n",
+       "<!-- 125323800114960+&#45;&gt;125323800114960 -->\n",
+       "<g id=\"edge271\" class=\"edge\">\n",
+       "<title>125323800114960+&#45;&gt;125323800114960</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1084.92,-853.02C1104.8,-860.93 1134.59,-872.77 1160.95,-883.26\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1159.63,-886.5 1170.21,-886.94 1162.21,-879.99 1159.63,-886.5\"/>\n",
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+       "<title>125323804473104</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"42.38,-908 42.38,-944 240.38,-944 240.38,-908 42.38,-908\"/>\n",
+       "<text text-anchor=\"middle\" x=\"58.62\" y=\"-921.2\" font-family=\"Times,serif\" font-size=\"14.00\">w0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"74.88,-908.5 74.88,-944\"/>\n",
+       "<text text-anchor=\"middle\" x=\"117\" y=\"-921.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.6748</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"159.12,-908.5 159.12,-944\"/>\n",
+       "<text text-anchor=\"middle\" x=\"199.75\" y=\"-921.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.5235</text>\n",
+       "</g>\n",
+       "<!-- 125323804473104&#45;&gt;125323800095936* -->\n",
+       "<g id=\"edge331\" class=\"edge\">\n",
+       "<title>125323804473104&#45;&gt;125323800095936*</title>\n",
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+       "<title>125323804473104&#45;&gt;125323800602400*</title>\n",
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+       "<!-- 125323804473104&#45;&gt;125323800112272* -->\n",
+       "<g id=\"edge667\" class=\"edge\">\n",
+       "<title>125323804473104&#45;&gt;125323800112272*</title>\n",
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+       "<g id=\"edge823\" class=\"edge\">\n",
+       "<title>125323804473104&#45;&gt;125323800082240*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"421.62\" y=\"-866.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"431.5,-853.5 431.5,-889\"/>\n",
+       "<text text-anchor=\"middle\" x=\"473.62\" y=\"-866.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.3495</text>\n",
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+       "<text text-anchor=\"middle\" x=\"558.62\" y=\"-866.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0244</text>\n",
+       "</g>\n",
+       "<!-- 125323800082240&#45;&gt;125323800082384+ -->\n",
+       "<g id=\"edge828\" class=\"edge\">\n",
+       "<title>125323800082240&#45;&gt;125323800082384+</title>\n",
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+       "<g id=\"edge272\" class=\"edge\">\n",
+       "<title>125323800082240*&#45;&gt;125323800082240</title>\n",
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+       "<polygon fill=\"black\" stroke=\"black\" points=\"399.85,-874.5 409.85,-871 399.85,-867.5 399.85,-874.5\"/>\n",
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+       "<g id=\"node620\" class=\"node\">\n",
+       "<title>125323800082384</title>\n",
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+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-894.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.9620</text>\n",
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+       "<text text-anchor=\"middle\" x=\"928.38\" y=\"-894.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0244</text>\n",
+       "</g>\n",
+       "<!-- 125323800082384&#45;&gt;125323800083344+ -->\n",
+       "<g id=\"edge364\" class=\"edge\">\n",
+       "<title>125323800082384&#45;&gt;125323800083344+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M965.7,-917.48C976.75,-920.37 987.82,-923.55 998.25,-927 1008.29,-930.32 1018.95,-934.65 1028.54,-938.86\"/>\n",
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+       "<!-- 125323800082384+&#45;&gt;125323800082384 -->\n",
+       "<g id=\"edge273\" class=\"edge\">\n",
+       "<title>125323800082384+&#45;&gt;125323800082384</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M718.7,-899C732.65,-899 750.84,-899 769.85,-899\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"769.6,-902.5 779.6,-899 769.6,-895.5 769.6,-902.5\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"426.12\" y=\"-1141.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"500.62\" y=\"-1141.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"581.12\" y=\"-1141.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0013</text>\n",
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+       "<!-- 125323800082624&#45;&gt;125323800081664* -->\n",
+       "<g id=\"edge342\" class=\"edge\">\n",
+       "<title>125323800082624&#45;&gt;125323800081664*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M622.14,-1146C633.05,-1146 643.5,-1146 652.79,-1146\"/>\n",
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+       "<title>125323800604464&#45;&gt;125323800604512*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M624.48,-634C634.47,-634 644.02,-634 652.6,-634\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"652.52,-637.5 662.52,-634 652.52,-630.5 652.52,-637.5\"/>\n",
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+       "<!-- 125323800604512 -->\n",
+       "<g id=\"node661\" class=\"node\">\n",
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+       "<text text-anchor=\"middle\" x=\"793.62\" y=\"-698.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"803.5,-685.5 803.5,-721\"/>\n",
+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-698.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.7346</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"883.25,-685.5 883.25,-721\"/>\n",
+       "<text text-anchor=\"middle\" x=\"926.12\" y=\"-698.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0193</text>\n",
+       "</g>\n",
+       "<!-- 125323800604512&#45;&gt;125323800604704+ -->\n",
+       "<g id=\"edge707\" class=\"edge\">\n",
+       "<title>125323800604512&#45;&gt;125323800604704+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M969.35,-695.96C988.34,-694.5 1007.31,-693.05 1022.96,-691.85\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1023.02,-695.36 1032.72,-691.11 1022.49,-688.38 1023.02,-695.36\"/>\n",
+       "</g>\n",
+       "<!-- 125323800604512*&#45;&gt;125323800604512 -->\n",
+       "<g id=\"edge289\" class=\"edge\">\n",
+       "<title>125323800604512*&#45;&gt;125323800604512</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M709.38,-648.01C721.3,-657.24 738.03,-668.89 754.5,-676 760.38,-678.54 766.53,-680.85 772.8,-682.96\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"771.43,-686.19 782.01,-685.86 773.53,-679.52 771.43,-686.19\"/>\n",
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+       "<!-- 125323800113136 -->\n",
+       "<g id=\"node663\" class=\"node\">\n",
+       "<title>125323800113136</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"26.25,-53 26.25,-89 256.5,-89 256.5,-53 26.25,-53\"/>\n",
+       "<text text-anchor=\"middle\" x=\"60.88\" y=\"-66.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"95.5,-53.5 95.5,-89\"/>\n",
+       "<text text-anchor=\"middle\" x=\"135.38\" y=\"-66.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"215.88\" y=\"-66.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0052</text>\n",
+       "</g>\n",
+       "<!-- 125323800113136&#45;&gt;125323800112224* -->\n",
+       "<g id=\"edge732\" class=\"edge\">\n",
+       "<title>125323800113136&#45;&gt;125323800112224*</title>\n",
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+       "<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-74.5 293.03,-71 283.03,-67.5 283.03,-74.5\"/>\n",
+       "</g>\n",
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+       "<g id=\"node664\" class=\"node\">\n",
+       "<title>125323800604704</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"1126.5,-671 1126.5,-707 1311.75,-707 1311.75,-671 1126.5,-671\"/>\n",
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+       "<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-671.5 1146.25,-707\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1186.12\" y=\"-684.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.2632</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1226,-671.5 1226,-707\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1268.88\" y=\"-684.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0193</text>\n",
+       "</g>\n",
+       "<!-- 125323800605136+ -->\n",
+       "<g id=\"node671\" class=\"node\">\n",
+       "<title>125323800605136+</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1377\" cy=\"-689\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1377\" y=\"-683.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323800604704&#45;&gt;125323800605136+ -->\n",
+       "<g id=\"edge539\" class=\"edge\">\n",
+       "<title>125323800604704&#45;&gt;125323800605136+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1312.15,-689C1321.36,-689 1330.3,-689 1338.43,-689\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1338.19,-692.5 1348.19,-689 1338.19,-685.5 1338.19,-692.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800604704+&#45;&gt;125323800604704 -->\n",
+       "<g id=\"edge290\" class=\"edge\">\n",
+       "<title>125323800604704+&#45;&gt;125323800604704</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1088.69,-689C1096.37,-689 1105.26,-689 1114.7,-689\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1114.5,-692.5 1124.5,-689 1114.5,-685.5 1114.5,-692.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800604896 -->\n",
+       "<g id=\"node666\" class=\"node\">\n",
+       "<title>125323800604896</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"756.75,-575 756.75,-611 996,-611 996,-575 756.75,-575\"/>\n",
+       "<text text-anchor=\"middle\" x=\"793.62\" y=\"-588.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"830.5,-575.5 830.5,-611\"/>\n",
+       "<text text-anchor=\"middle\" x=\"872.62\" y=\"-588.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"955.38\" y=\"-588.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0105</text>\n",
+       "</g>\n",
+       "<!-- 125323800604896&#45;&gt;125323800604944* -->\n",
+       "<g id=\"edge565\" class=\"edge\">\n",
+       "<title>125323800604896&#45;&gt;125323800604944*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M996.29,-593C1005.53,-593 1014.36,-593 1022.35,-593\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.25,-596.5 1032.25,-593 1022.25,-589.5 1022.25,-596.5\"/>\n",
+       "</g>\n",
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+       "<g id=\"node667\" class=\"node\">\n",
+       "<title>125323800604944</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"1126.5,-602 1126.5,-638 1311.75,-638 1311.75,-602 1126.5,-602\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1136.38\" y=\"-615.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-602.5 1146.25,-638\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1186.12\" y=\"-615.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.5437</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1226,-602.5 1226,-638\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1268.88\" y=\"-615.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0193</text>\n",
+       "</g>\n",
+       "<!-- 125323800604944&#45;&gt;125323800605136+ -->\n",
+       "<g id=\"edge306\" class=\"edge\">\n",
+       "<title>125323800604944&#45;&gt;125323800605136+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1261.9,-638.49C1287.55,-649.85 1319.91,-664.17 1343.62,-674.67\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1341.9,-677.73 1352.46,-678.58 1344.73,-671.33 1341.9,-677.73\"/>\n",
+       "</g>\n",
+       "<!-- 125323800604944*&#45;&gt;125323800604944 -->\n",
+       "<g id=\"edge291\" class=\"edge\">\n",
+       "<title>125323800604944*&#45;&gt;125323800604944</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1087.64,-597.4C1095.69,-598.79 1105.13,-600.43 1115.2,-602.17\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1114.39,-605.58 1124.84,-603.84 1115.58,-598.69 1114.39,-605.58\"/>\n",
+       "</g>\n",
+       "<!-- 125323800113568 -->\n",
+       "<g id=\"node669\" class=\"node\">\n",
+       "<title>125323800113568</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"761.25,-520 761.25,-556 991.5,-556 991.5,-520 761.25,-520\"/>\n",
+       "<text text-anchor=\"middle\" x=\"795.88\" y=\"-533.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"830.5,-520.5 830.5,-556\"/>\n",
+       "<text text-anchor=\"middle\" x=\"870.38\" y=\"-533.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"910.25,-520.5 910.25,-556\"/>\n",
+       "<text text-anchor=\"middle\" x=\"950.88\" y=\"-533.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.2393</text>\n",
+       "</g>\n",
+       "<!-- 125323800113568&#45;&gt;125323800113664* -->\n",
+       "<g id=\"edge510\" class=\"edge\">\n",
+       "<title>125323800113568&#45;&gt;125323800113664*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M991.89,-538C1002.8,-538 1013.25,-538 1022.54,-538\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.53,-541.5 1032.53,-538 1022.53,-534.5 1022.53,-541.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323800605136 -->\n",
+       "<g id=\"node670\" class=\"node\">\n",
+       "<title>125323800605136</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"1442.25,-678 1442.25,-714 1627.5,-714 1627.5,-678 1442.25,-678\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1452.12\" y=\"-691.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1462,-678.5 1462,-714\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1501.88\" y=\"-691.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.8069</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1541.75,-678.5 1541.75,-714\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1584.62\" y=\"-691.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0193</text>\n",
+       "</g>\n",
+       "<!-- 125323800605232tanh -->\n",
+       "<g id=\"node675\" class=\"node\">\n",
+       "<title>125323800605232tanh</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1692.75\" cy=\"-699\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1692.75\" y=\"-693.95\" font-family=\"Times,serif\" font-size=\"14.00\">tanh</text>\n",
+       "</g>\n",
+       "<!-- 125323800605136&#45;&gt;125323800605232tanh -->\n",
+       "<g id=\"edge864\" class=\"edge\">\n",
+       "<title>125323800605136&#45;&gt;125323800605232tanh</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1627.9,-697.77C1637.11,-697.95 1646.05,-698.12 1654.18,-698.28\"/>\n",
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+       "<!-- 125323800605136+&#45;&gt;125323800605136 -->\n",
+       "<g id=\"edge292\" class=\"edge\">\n",
+       "<title>125323800605136+&#45;&gt;125323800605136</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1404.44,-690.19C1412.12,-690.53 1421.01,-690.93 1430.45,-691.36\"/>\n",
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+       "<title>125323800113664</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1134.12\" y=\"-533.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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+       "<text text-anchor=\"middle\" x=\"1186.12\" y=\"-533.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.5437</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1228.25,-520.5 1228.25,-556\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1271.12\" y=\"-533.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.4402</text>\n",
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+       "<!-- 125323800113664&#45;&gt;125323800077248+ -->\n",
+       "<g id=\"edge754\" class=\"edge\">\n",
+       "<title>125323800113664&#45;&gt;125323800077248+</title>\n",
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+       "<!-- 125323800113664*&#45;&gt;125323800113664 -->\n",
+       "<g id=\"edge293\" class=\"edge\">\n",
+       "<title>125323800113664*&#45;&gt;125323800113664</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1088.69,-538C1095.84,-538 1104.03,-538 1112.74,-538\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1112.51,-541.5 1122.51,-538 1112.51,-534.5 1112.51,-541.5\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"1906.75\" y=\"-698.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0349</text>\n",
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+       "<g id=\"edge451\" class=\"edge\">\n",
+       "<title>125323800605232&#45;&gt;125323800606864*</title>\n",
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+       "<g id=\"edge294\" class=\"edge\">\n",
+       "<title>125323800605232tanh&#45;&gt;125323800605232</title>\n",
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+       "</svg>\n"
+      ],
+      "text/plain": [
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+     "execution_count": 54,
+     "metadata": {},
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+   "source": [
+    "draw_dot(loss)"
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+  {
+   "cell_type": "code",
+   "execution_count": 61,
+   "id": "6d2324f0-f490-4e32-ae00-b2b261b214e5",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "xs = [\n",
+    "    [2.0, 3.0, -1.0],\n",
+    "    [3.0, -1.0, 0.5],\n",
+    "    [0.5, 1.0, 1.0],\n",
+    "    [1.0, 1.0, -1.0],\n",
+    "]\n",
+    "\n",
+    "ys = [1.0, -1.0, -1.0, 1.0]\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 50,
+   "id": "918cc40f-28c0-42d2-8458-59e23ff3c4a4",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Value(data=5.943750954828017)"
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+     },
+     "execution_count": 50,
+     "metadata": {},
+     "output_type": "execute_result"
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+   "source": [
+    "ypred = [n(x) for x in xs]\n",
+    "ypred\n",
+    "loss = sum([(yout[0] - ygt)**2 for ygt, yout in zip(ys, ypred)])\n",
+    "loss"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 51,
+   "id": "fc3db894-3ddc-4e10-902c-be7b8e44b0f7",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "loss.backward()"
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+  },
+  {
+   "cell_type": "code",
+   "execution_count": 48,
+   "id": "5231915f-4e40-4aef-9795-bebe273ccc31",
+   "metadata": {},
+   "outputs": [
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+       "41"
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+     },
+     "execution_count": 48,
+     "metadata": {},
+     "output_type": "execute_result"
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+   "source": [
+    "len(n.parameters())"
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+   "cell_type": "code",
+   "execution_count": 53,
+   "id": "c4bd769a-7979-4464-856a-1201357b7d86",
+   "metadata": {},
+   "outputs": [
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+     "data": {
+      "text/plain": [
+       "Value(data=0.5313611318967537)"
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+     "execution_count": 53,
+     "metadata": {},
+     "output_type": "execute_result"
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+   "source": [
+    "n.layers[0].neurons[0].w[0]"
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+  {
+   "cell_type": "code",
+   "execution_count": 55,
+   "id": "7cec0640-fc3a-4e6c-b233-7e65554eb7da",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "for p in n.parameters():\n",
+    "    p.data += -0.01 * p.grad"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 56,
+   "id": "fcc6ac69-5a4d-4314-8649-ddca4d525c6d",
+   "metadata": {},
+   "outputs": [
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+     "data": {
+      "text/plain": [
+       "Value(data=0.5124414776083861)"
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+     "execution_count": 56,
+     "metadata": {},
+     "output_type": "execute_result"
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+   "source": [
+    "n.layers[0].neurons[0].w[0]"
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+   "cell_type": "code",
+   "execution_count": 57,
+   "id": "3f40b191-c46a-467c-a0b1-3d188a2e921e",
+   "metadata": {},
+   "outputs": [
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+       "Value(data=4.99312518653077)"
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+     },
+     "execution_count": 57,
+     "metadata": {},
+     "output_type": "execute_result"
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+   ],
+   "source": [
+    "ypred = [n(x) for x in xs]\n",
+    "loss = sum([(yout[0] - ygt)**2 for ygt, yout in zip(ys, ypred)])\n",
+    "loss"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 72,
+   "id": "37b34f3c-e5d8-4d0a-951f-15cc03e3a45d",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "5.646568972964697\n",
+      "4.343838371619655\n",
+      "3.844855948976904\n",
+      "3.6440265684099926\n",
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+      "0.1333559980863722\n",
+      "0.1108723561970498\n"
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+   "source": [
+    "loss = Value(1000)\n",
+    "\n",
+    "xs = [\n",
+    "    [2.0, 3.0, -1.0],\n",
+    "    [3.0, -1.0, 0.5],\n",
+    "    [0.5, 1.0, 1.0],\n",
+    "    [1.0, 1.0, -1.0],\n",
+    "]\n",
+    "\n",
+    "ys = [1.0, -1.0, -1.0, 1.0]\n",
+    "\n",
+    "n = MultiLayerPerceptron(3, [4, 4, 1])\n",
+    "\n",
+    "while loss.data > 0.1:\n",
+    "    ypred = [n(x) for x in xs]\n",
+    "    loss = sum([(yout[0] - ygt)**2 for ygt, yout in zip(ys, ypred)])\n",
+    "    for p in n.parameters():\n",
+    "        p.grad = 0\n",
+    "    loss.backward()\n",
+    "    if loss.data < 0.1:\n",
+    "        break\n",
+    "    for p in n.parameters():\n",
+    "        p.data += -0.05 * p.grad\n",
+    "    print(loss.data)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 67,
+   "id": "f3ff1f0e-59c1-47d9-b593-e7ad1d29a217",
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
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+       "<text text-anchor=\"middle\" x=\"793.62\" y=\"-2276.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"803.5,-2263.5 803.5,-2299\"/>\n",
+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-2276.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.4221</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"883.25,-2263.5 883.25,-2299\"/>\n",
+       "<text text-anchor=\"middle\" x=\"926.12\" y=\"-2276.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0000</text>\n",
+       "</g>\n",
+       "<!-- 125323597143200&#45;&gt;125323597146512+ -->\n",
+       "<g id=\"edge805\" class=\"edge\">\n",
+       "<title>125323597143200&#45;&gt;125323597146512+</title>\n",
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+       "<title>125323597143200+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-2302.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323597143200+&#45;&gt;125323597143200 -->\n",
+       "<g id=\"edge15\" class=\"edge\">\n",
+       "<title>125323597143200+&#45;&gt;125323597143200</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M718.31,-2304.19C732.93,-2302.03 752.29,-2299.17 772.4,-2296.2\"/>\n",
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+       "<polyline fill=\"none\" stroke=\"black\" points=\"1462,-2916.5 1462,-2952\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1501.88\" y=\"-2929.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.1922</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1541.75,-2916.5 1541.75,-2952\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1582.38\" y=\"-2929.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0001</text>\n",
+       "</g>\n",
+       "<!-- 125323594228576tanh -->\n",
+       "<g id=\"node43\" class=\"node\">\n",
+       "<title>125323594228576tanh</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1688.25\" cy=\"-2937\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1688.25\" y=\"-2931.95\" font-family=\"Times,serif\" font-size=\"14.00\">tanh</text>\n",
+       "</g>\n",
+       "<!-- 125323594227232&#45;&gt;125323594228576tanh -->\n",
+       "<g id=\"edge807\" class=\"edge\">\n",
+       "<title>125323594227232&#45;&gt;125323594228576tanh</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1623.43,-2935.75C1632.61,-2935.93 1641.53,-2936.11 1649.65,-2936.27\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1649.34,-2939.76 1659.4,-2936.46 1649.47,-2932.76 1649.34,-2939.76\"/>\n",
+       "</g>\n",
+       "<!-- 125323594227232+&#45;&gt;125323594227232 -->\n",
+       "<g id=\"edge16\" class=\"edge\">\n",
+       "<title>125323594227232+&#45;&gt;125323594227232</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1404.41,-2928.2C1412.12,-2928.55 1421.04,-2928.96 1430.51,-2929.39\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1430.17,-2932.88 1440.32,-2929.84 1430.49,-2925.89 1430.17,-2932.88\"/>\n",
+       "</g>\n",
+       "<!-- 125323597144208 -->\n",
+       "<g id=\"node40\" class=\"node\">\n",
+       "<title>125323597144208</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"384.75,-2565 384.75,-2601 628.5,-2601 628.5,-2565 384.75,-2565\"/>\n",
+       "<text text-anchor=\"middle\" x=\"421.62\" y=\"-2578.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"458.5,-2565.5 458.5,-2601\"/>\n",
+       "<text text-anchor=\"middle\" x=\"500.62\" y=\"-2578.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"542.75,-2565.5 542.75,-2601\"/>\n",
+       "<text text-anchor=\"middle\" x=\"585.62\" y=\"-2578.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0000</text>\n",
+       "</g>\n",
+       "<!-- 125323597144208&#45;&gt;125323597142720* -->\n",
+       "<g id=\"edge835\" class=\"edge\">\n",
+       "<title>125323597144208&#45;&gt;125323597142720*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M628.84,-2583C637.34,-2583 645.45,-2583 652.84,-2583\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"652.65,-2586.5 662.65,-2583 652.65,-2579.5 652.65,-2586.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323597144352 -->\n",
+       "<g id=\"node41\" class=\"node\">\n",
+       "<title>125323597144352</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"761.25,-2483 761.25,-2519 991.5,-2519 991.5,-2483 761.25,-2483\"/>\n",
+       "<text text-anchor=\"middle\" x=\"795.88\" y=\"-2496.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 0.5</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"830.5,-2483.5 830.5,-2519\"/>\n",
+       "<text text-anchor=\"middle\" x=\"870.38\" y=\"-2496.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.5000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"910.25,-2483.5 910.25,-2519\"/>\n",
+       "<text text-anchor=\"middle\" x=\"950.88\" y=\"-2496.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0000</text>\n",
+       "</g>\n",
+       "<!-- 125323597144352&#45;&gt;125323597150592* -->\n",
+       "<g id=\"edge546\" class=\"edge\">\n",
+       "<title>125323597144352&#45;&gt;125323597150592*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M991.89,-2509.77C1002.93,-2510.61 1013.48,-2511.42 1022.85,-2512.14\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.29,-2515.6 1032.53,-2512.88 1022.83,-2508.62 1022.29,-2515.6\"/>\n",
+       "</g>\n",
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+       "<title>125323594228576</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"1762.12,-2923 1762.12,-2959 1942.88,-2959 1942.88,-2923 1762.12,-2923\"/>\n",
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+       "<polyline fill=\"none\" stroke=\"black\" points=\"1781.88,-2923.5 1781.88,-2959\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1821.75\" y=\"-2936.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.9754</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1861.62,-2923.5 1861.62,-2959\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1902.25\" y=\"-2936.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0029</text>\n",
+       "</g>\n",
+       "<!-- 125323597398384* -->\n",
+       "<g id=\"node294\" class=\"node\">\n",
+       "<title>125323597398384*</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"2016.75\" cy=\"-4886\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"2016.75\" y=\"-4880.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323594228576&#45;&gt;125323597398384* -->\n",
+       "<g id=\"edge560\" class=\"edge\">\n",
+       "<title>125323594228576&#45;&gt;125323597398384*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1885.8,-2959.35C1911.46,-2975.94 1945.55,-3002.96 1961.12,-3037 2003.24,-3129.06 1951.16,-4765.41 1989.75,-4859 1990.39,-4860.54 1991.15,-4862.05 1992.02,-4863.5\"/>\n",
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+       "<title>125323596658256*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"2016.75\" y=\"-3803.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
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+       "<g id=\"edge500\" class=\"edge\">\n",
+       "<title>125323594228576&#45;&gt;125323596658256*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1885.6,-2959.44C1911.14,-2976.09 1945.17,-3003.14 1961.12,-3037 2031.76,-3186.87 1924.86,-3629.56 1989.75,-3782 1990.4,-3783.53 1991.19,-3785.03 1992.07,-3786.48\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1989.12,-3788.39 1998.01,-3794.14 1994.65,-3784.1 1989.12,-3788.39\"/>\n",
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+       "<!-- 125323596649712* -->\n",
+       "<g id=\"node470\" class=\"node\">\n",
+       "<title>125323596649712*</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"2016.75\" cy=\"-4360\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"2016.75\" y=\"-4354.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323594228576&#45;&gt;125323596649712* -->\n",
+       "<g id=\"edge467\" class=\"edge\">\n",
+       "<title>125323594228576&#45;&gt;125323596649712*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1885.74,-2959.37C1911.37,-2975.98 1945.44,-3003.01 1961.12,-3037 2021.46,-3167.79 1934.42,-4200.02 1989.75,-4333 1990.39,-4334.54 1991.16,-4336.04 1992.04,-4337.5\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1989.08,-4339.39 1997.96,-4345.17 1994.62,-4335.11 1989.08,-4339.39\"/>\n",
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+       "<g id=\"node586\" class=\"node\">\n",
+       "<title>125323596657344*</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"2016.75\" cy=\"-3308\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"2016.75\" y=\"-3302.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323594228576&#45;&gt;125323596657344* -->\n",
+       "<g id=\"edge627\" class=\"edge\">\n",
+       "<title>125323594228576&#45;&gt;125323596657344*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1884.41,-2959.44C1909.6,-2976.27 1943.74,-3003.57 1961.12,-3037 2011.51,-3133.87 1943.08,-3182.29 1989.75,-3281 1990.38,-3282.32 1991.09,-3283.62 1991.88,-3284.89\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1989.09,-3287.01 1998,-3292.74 1994.61,-3282.71 1989.09,-3287.01\"/>\n",
+       "</g>\n",
+       "<!-- 125323594228576tanh&#45;&gt;125323594228576 -->\n",
+       "<g id=\"edge17\" class=\"edge\">\n",
+       "<title>125323594228576tanh&#45;&gt;125323594228576</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1715.68,-2937.65C1725.68,-2937.9 1737.76,-2938.2 1750.53,-2938.51\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1750.31,-2942.01 1760.39,-2938.75 1750.48,-2935.01 1750.31,-2942.01\"/>\n",
+       "</g>\n",
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+       "<g id=\"node44\" class=\"node\">\n",
+       "<title>125323594229152</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"391.5,-2867 391.5,-2903 621.75,-2903 621.75,-2867 391.5,-2867\"/>\n",
+       "<text text-anchor=\"middle\" x=\"426.12\" y=\"-2880.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"460.75,-2867.5 460.75,-2903\"/>\n",
+       "<text text-anchor=\"middle\" x=\"500.62\" y=\"-2880.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"540.5,-2867.5 540.5,-2903\"/>\n",
+       "<text text-anchor=\"middle\" x=\"581.12\" y=\"-2880.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0000</text>\n",
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+       "<!-- 125323594229152&#45;&gt;125323594219744* -->\n",
+       "<g id=\"edge644\" class=\"edge\">\n",
+       "<title>125323594229152&#45;&gt;125323594219744*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M622.14,-2885C633.05,-2885 643.5,-2885 652.79,-2885\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"652.78,-2888.5 662.78,-2885 652.78,-2881.5 652.78,-2888.5\"/>\n",
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+       "<polyline fill=\"none\" stroke=\"black\" points=\"1148.5,-2641.5 1148.5,-2677\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1188.38\" y=\"-2654.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.3090</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1228.25,-2641.5 1228.25,-2677\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1268.88\" y=\"-2654.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0000</text>\n",
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+       "<g id=\"node50\" class=\"node\">\n",
+       "<title>125323609728992+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1377\" y=\"-2653.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323609728416&#45;&gt;125323609728992+ -->\n",
+       "<g id=\"edge604\" class=\"edge\">\n",
+       "<title>125323609728416&#45;&gt;125323609728992+</title>\n",
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+       "<!-- 125323609728416*&#45;&gt;125323609728416 -->\n",
+       "<g id=\"edge18\" class=\"edge\">\n",
+       "<title>125323609728416*&#45;&gt;125323609728416</title>\n",
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+       "<text text-anchor=\"middle\" x=\"426.12\" y=\"-2523.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
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+       "<text text-anchor=\"middle\" x=\"475.88\" y=\"-2523.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.7845</text>\n",
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+       "<text text-anchor=\"middle\" x=\"556.38\" y=\"-2523.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0001</text>\n",
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+       "<!-- 125323594229248&#45;&gt;125323594221520+ -->\n",
+       "<g id=\"edge855\" class=\"edge\">\n",
+       "<title>125323594229248&#45;&gt;125323594221520+</title>\n",
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+       "<g id=\"edge19\" class=\"edge\">\n",
+       "<title>125323594229248*&#45;&gt;125323594229248</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1501.88\" y=\"-2713.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0370</text>\n",
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+       "<title>125323609728992&#45;&gt;125323609723184tanh</title>\n",
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+       "<text text-anchor=\"middle\" x=\"2016.75\" y=\"-4826.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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+       "<title>125323597409472&#45;&gt;125323597408800*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"2016.75\" y=\"-3248.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323597409472&#45;&gt;125323597399680* -->\n",
+       "<g id=\"edge806\" class=\"edge\">\n",
+       "<title>125323597409472&#45;&gt;125323597399680*</title>\n",
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+       "<!-- 125323597409472tanh&#45;&gt;125323597409472 -->\n",
+       "<g id=\"edge22\" class=\"edge\">\n",
+       "<title>125323597409472tanh&#45;&gt;125323597409472</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1714.25,-2857.24C1725.01,-2859.49 1738.37,-2862.29 1752.48,-2865.25\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1751.41,-2868.6 1761.91,-2867.23 1752.84,-2861.75 1751.41,-2868.6\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"60.88\" y=\"-2523.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"135.38\" y=\"-2523.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"473.62\" y=\"-2303.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.3535</text>\n",
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+       "<text text-anchor=\"middle\" x=\"556.38\" y=\"-2303.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0000</text>\n",
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+       "<g id=\"edge795\" class=\"edge\">\n",
+       "<title>125323597148768&#45;&gt;125323597143200+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M599.6,-2308C618.45,-2308 637.27,-2308 652.86,-2308\"/>\n",
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+       "<!-- 125323597148768*&#45;&gt;125323597148768 -->\n",
+       "<g id=\"edge23\" class=\"edge\">\n",
+       "<title>125323597148768*&#45;&gt;125323597148768</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M348.95,-2308C363.47,-2308 382.56,-2308 402.4,-2308\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"402.3,-2311.5 412.3,-2308 402.3,-2304.5 402.3,-2311.5\"/>\n",
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+       "<polygon fill=\"none\" stroke=\"black\" points=\"761.25,-2758 761.25,-2794 991.5,-2794 991.5,-2758 761.25,-2758\"/>\n",
+       "<text text-anchor=\"middle\" x=\"795.88\" y=\"-2771.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"870.38\" y=\"-2771.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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+       "<title>125323595412400&#45;&gt;125323594300160*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"791.38\" y=\"-2551.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"321.75\" y=\"-1557.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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+       "<g id=\"edge42\" class=\"edge\">\n",
+       "<title>125323609727264*&#45;&gt;125323609727264</title>\n",
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+       "<text text-anchor=\"middle\" x=\"500.62\" y=\"-2108.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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+       "<title>125323609728176+&#45;&gt;125323609728176</title>\n",
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+       "<text text-anchor=\"middle\" x=\"58.62\" y=\"-1558.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-681.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-532.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
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+       "<text text-anchor=\"middle\" x=\"793.62\" y=\"-533.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"868.12\" y=\"-533.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.27,-541.5 1032.27,-538 1022.27,-534.5 1022.27,-541.5\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-64.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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+       "<title>125323597137920+&#45;&gt;125323597137920</title>\n",
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+       "<text text-anchor=\"middle\" x=\"423.88\" y=\"-340.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"502.88\" y=\"-340.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
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+       "<g id=\"edge671\" class=\"edge\">\n",
+       "<title>125323595406496&#45;&gt;125323597406112*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-628.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323595406496&#45;&gt;125323594235584* -->\n",
+       "<g id=\"edge689\" class=\"edge\">\n",
+       "<title>125323595406496&#45;&gt;125323594235584*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"423.88\" y=\"-395.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"458.5,-382.5 458.5,-418\"/>\n",
+       "<text text-anchor=\"middle\" x=\"498.38\" y=\"-395.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"581.12\" y=\"-395.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0007</text>\n",
+       "</g>\n",
+       "<!-- 125323609726736&#45;&gt;125323609723040* -->\n",
+       "<g id=\"edge373\" class=\"edge\">\n",
+       "<title>125323609726736&#45;&gt;125323609723040*</title>\n",
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+       "<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-321.5 1146.25,-357\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1188.38\" y=\"-334.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.6439</text>\n",
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+       "<text text-anchor=\"middle\" x=\"1271.12\" y=\"-334.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0024</text>\n",
+       "</g>\n",
+       "<!-- 125323609726784&#45;&gt;125323609725248+ -->\n",
+       "<g id=\"edge705\" class=\"edge\">\n",
+       "<title>125323609726784&#45;&gt;125323609725248+</title>\n",
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+       "<!-- 125323609726784+&#45;&gt;125323609726784 -->\n",
+       "<g id=\"edge72\" class=\"edge\">\n",
+       "<title>125323609726784+&#45;&gt;125323609726784</title>\n",
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+       "<g id=\"node185\" class=\"node\">\n",
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+       "<text text-anchor=\"middle\" x=\"791.38\" y=\"-478.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"801.25,-465.5 801.25,-501\"/>\n",
+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-478.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.2720</text>\n",
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+       "<text text-anchor=\"middle\" x=\"928.38\" y=\"-478.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0165</text>\n",
+       "</g>\n",
+       "<!-- 125323597406112&#45;&gt;125323597402368+ -->\n",
+       "<g id=\"edge821\" class=\"edge\">\n",
+       "<title>125323597406112&#45;&gt;125323597402368+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M971.49,-483C989.58,-483 1007.54,-483 1022.51,-483\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.32,-486.5 1032.32,-483 1022.32,-479.5 1022.32,-486.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323597406112*&#45;&gt;125323597406112 -->\n",
+       "<g id=\"edge73\" class=\"edge\">\n",
+       "<title>125323597406112*&#45;&gt;125323597406112</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M718.7,-483C732.65,-483 750.84,-483 769.85,-483\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"769.6,-486.5 779.6,-483 769.6,-479.5 769.6,-486.5\"/>\n",
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+       "<!-- 125323609727216 -->\n",
+       "<g id=\"node187\" class=\"node\">\n",
+       "<title>125323609727216</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"26.25,-107 26.25,-143 256.5,-143 256.5,-107 26.25,-107\"/>\n",
+       "<text text-anchor=\"middle\" x=\"60.88\" y=\"-120.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 2.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"95.5,-107.5 95.5,-143\"/>\n",
+       "<text text-anchor=\"middle\" x=\"135.38\" y=\"-120.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"175.25,-107.5 175.25,-143\"/>\n",
+       "<text text-anchor=\"middle\" x=\"215.88\" y=\"-120.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0002</text>\n",
+       "</g>\n",
+       "<!-- 125323609727216&#45;&gt;125323609724480* -->\n",
+       "<g id=\"edge796\" class=\"edge\">\n",
+       "<title>125323609727216&#45;&gt;125323609724480*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M256.86,-125C266.14,-125 275.02,-125 283.05,-125\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-128.5 293.03,-125 283.03,-121.5 283.03,-128.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323597144448 -->\n",
+       "<g id=\"node188\" class=\"node\">\n",
+       "<title>125323597144448</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"24,-217 24,-253 258.75,-253 258.75,-217 24,-217\"/>\n",
+       "<text text-anchor=\"middle\" x=\"58.62\" y=\"-230.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 0.5</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"93.25,-217.5 93.25,-253\"/>\n",
+       "<text text-anchor=\"middle\" x=\"133.12\" y=\"-230.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.5000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"173,-217.5 173,-253\"/>\n",
+       "<text text-anchor=\"middle\" x=\"215.88\" y=\"-230.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0015</text>\n",
+       "</g>\n",
+       "<!-- 125323597144448&#45;&gt;125323597407264* -->\n",
+       "<g id=\"edge762\" class=\"edge\">\n",
+       "<title>125323597144448&#45;&gt;125323597407264*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M258.86,-235C267.44,-235 275.64,-235 283.1,-235\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-238.5 293.03,-235 283.03,-231.5 283.03,-238.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323594228384 -->\n",
+       "<g id=\"node189\" class=\"node\">\n",
+       "<title>125323594228384</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"756.75,-575 756.75,-611 996,-611 996,-575 756.75,-575\"/>\n",
+       "<text text-anchor=\"middle\" x=\"793.62\" y=\"-588.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"830.5,-575.5 830.5,-611\"/>\n",
+       "<text text-anchor=\"middle\" x=\"872.62\" y=\"-588.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"914.75,-575.5 914.75,-611\"/>\n",
+       "<text text-anchor=\"middle\" x=\"955.38\" y=\"-588.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0074</text>\n",
+       "</g>\n",
+       "<!-- 125323594228384&#45;&gt;125323594222720* -->\n",
+       "<g id=\"edge437\" class=\"edge\">\n",
+       "<title>125323594228384&#45;&gt;125323594222720*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M996.29,-593C1005.53,-593 1014.36,-593 1022.35,-593\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.25,-596.5 1032.25,-593 1022.25,-589.5 1022.25,-596.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323597144832 -->\n",
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+       "<title>125323597144832</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"24,-52 24,-88 258.75,-88 258.75,-52 24,-52\"/>\n",
+       "<text text-anchor=\"middle\" x=\"58.62\" y=\"-65.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 3.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"93.25,-52.5 93.25,-88\"/>\n",
+       "<text text-anchor=\"middle\" x=\"133.12\" y=\"-65.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 3.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"173,-52.5 173,-88\"/>\n",
+       "<text text-anchor=\"middle\" x=\"215.88\" y=\"-65.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0002</text>\n",
+       "</g>\n",
+       "<!-- 125323597144832&#45;&gt;125323597143152* -->\n",
+       "<g id=\"edge468\" class=\"edge\">\n",
+       "<title>125323597144832&#45;&gt;125323597143152*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M258.86,-70C267.44,-70 275.64,-70 283.1,-70\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-73.5 293.03,-70 283.03,-66.5 283.03,-73.5\"/>\n",
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+       "<polygon fill=\"none\" stroke=\"black\" points=\"416.25,-272 416.25,-308 597,-308 597,-272 416.25,-272\"/>\n",
+       "<text text-anchor=\"middle\" x=\"426.12\" y=\"-285.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"436,-272.5 436,-308\"/>\n",
+       "<text text-anchor=\"middle\" x=\"475.88\" y=\"-285.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0917</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"515.75,-272.5 515.75,-308\"/>\n",
+       "<text text-anchor=\"middle\" x=\"556.38\" y=\"-285.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0083</text>\n",
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+       "<title>125323594230400+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-284.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323594228528&#45;&gt;125323594230400+ -->\n",
+       "<g id=\"edge411\" class=\"edge\">\n",
+       "<title>125323594228528&#45;&gt;125323594230400+</title>\n",
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+       "<g id=\"edge74\" class=\"edge\">\n",
+       "<title>125323594228528*&#45;&gt;125323594228528</title>\n",
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+       "<polyline fill=\"none\" stroke=\"black\" points=\"433.75,-217.5 433.75,-253\"/>\n",
+       "<text text-anchor=\"middle\" x=\"473.62\" y=\"-230.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0458</text>\n",
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+       "<text text-anchor=\"middle\" x=\"556.38\" y=\"-230.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0165</text>\n",
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+       "<title>125323597409952+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-229.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323597407264&#45;&gt;125323597409952+ -->\n",
+       "<g id=\"edge387\" class=\"edge\">\n",
+       "<title>125323597407264&#45;&gt;125323597409952+</title>\n",
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+       "<g id=\"edge75\" class=\"edge\">\n",
+       "<title>125323597407264*&#45;&gt;125323597407264</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1904.5\" y=\"-698.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0226</text>\n",
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+       "<title>125323596658592*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"2997.75\" y=\"-4801.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
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+       "<g id=\"edge333\" class=\"edge\">\n",
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+       "<title>125323597150928+&#45;&gt;125323597150928</title>\n",
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+       "<title>125323597136720&#45;&gt;125323597139072*</title>\n",
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+       "<g id=\"edge699\" class=\"edge\">\n",
+       "<title>125323597401984&#45;&gt;125323597151984+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M969.35,-1229C988.2,-1229 1007.02,-1229 1022.61,-1229\"/>\n",
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+       "<title>125323597401984+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-1223.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323597401984+&#45;&gt;125323597401984 -->\n",
+       "<g id=\"edge91\" class=\"edge\">\n",
+       "<title>125323597401984+&#45;&gt;125323597401984</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M718.7,-1229C733.22,-1229 752.31,-1229 772.15,-1229\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"772.05,-1232.5 782.05,-1229 772.05,-1225.5 772.05,-1232.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323594223584 -->\n",
+       "<g id=\"node234\" class=\"node\">\n",
+       "<title>125323594223584</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"754.5,-1321 754.5,-1357 998.25,-1357 998.25,-1321 754.5,-1321\"/>\n",
+       "<text text-anchor=\"middle\" x=\"791.38\" y=\"-1334.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"870.38\" y=\"-1334.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"955.38\" y=\"-1334.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0000</text>\n",
+       "</g>\n",
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+       "<title>125323594235344*</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-1333.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323594223584&#45;&gt;125323594235344* -->\n",
+       "<g id=\"edge628\" class=\"edge\">\n",
+       "<title>125323594223584&#45;&gt;125323594235344*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M998.59,-1339C1007.09,-1339 1015.2,-1339 1022.59,-1339\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1022.4,-1342.5 1032.4,-1339 1022.4,-1335.5 1022.4,-1342.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323609723616 -->\n",
+       "<g id=\"node235\" class=\"node\">\n",
+       "<title>125323609723616</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"1126.5,-1080 1126.5,-1116 1311.75,-1116 1311.75,-1080 1126.5,-1080\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1136.38\" y=\"-1093.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-1080.5 1146.25,-1116\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1188.38\" y=\"-1093.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.2636</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1230.5,-1080.5 1230.5,-1116\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1271.12\" y=\"-1093.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0002</text>\n",
+       "</g>\n",
+       "<!-- 125323609723616&#45;&gt;125323609735136+ -->\n",
+       "<g id=\"edge331\" class=\"edge\">\n",
+       "<title>125323609723616&#45;&gt;125323609735136+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1270.99,-1116.39C1284.98,-1121.61 1300.13,-1127.4 1314,-1133 1323.73,-1136.93 1334.22,-1141.4 1343.76,-1145.57\"/>\n",
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+       "<g id=\"node236\" class=\"node\">\n",
+       "<title>125323609723616+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-948.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323609723616+&#45;&gt;125323609723616 -->\n",
+       "<g id=\"edge92\" class=\"edge\">\n",
+       "<title>125323609723616+&#45;&gt;125323609723616</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1074.36,-969.88C1078.81,-975.83 1083.83,-982.67 1088.25,-989 1104.97,-1012.96 1103.01,-1023.94 1124.25,-1044 1136.69,-1055.75 1152.15,-1065.96 1166.91,-1074.26\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"793.62\" y=\"-894.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"803.5,-881.5 803.5,-917\"/>\n",
+       "<text text-anchor=\"middle\" x=\"845.62\" y=\"-894.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.6553</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"887.75,-881.5 887.75,-917\"/>\n",
+       "<text text-anchor=\"middle\" x=\"928.38\" y=\"-894.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0002</text>\n",
+       "</g>\n",
+       "<!-- 125323609724144&#45;&gt;125323609723616+ -->\n",
+       "<g id=\"edge827\" class=\"edge\">\n",
+       "<title>125323609724144&#45;&gt;125323609723616+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M965.7,-917.48C976.75,-920.37 987.82,-923.55 998.25,-927 1008.29,-930.32 1018.95,-934.65 1028.54,-938.86\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1026.89,-941.96 1037.44,-942.89 1029.77,-935.58 1026.89,-941.96\"/>\n",
+       "</g>\n",
+       "<!-- 125323609724144*&#45;&gt;125323609724144 -->\n",
+       "<g id=\"edge93\" class=\"edge\">\n",
+       "<title>125323609724144*&#45;&gt;125323609724144</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M718.7,-899C733.22,-899 752.31,-899 772.15,-899\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"772.05,-902.5 782.05,-899 772.05,-895.5 772.05,-902.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323597141424 -->\n",
+       "<g id=\"node239\" class=\"node\">\n",
+       "<title>125323597141424</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"1126.5,-888 1126.5,-924 1311.75,-924 1311.75,-888 1126.5,-888\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1136.38\" y=\"-901.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1146.25,-888.5 1146.25,-924\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1186.12\" y=\"-901.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.3947</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"1226,-888.5 1226,-924\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1268.88\" y=\"-901.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0021</text>\n",
+       "</g>\n",
+       "<!-- 125323597141424&#45;&gt;125323597148528+ -->\n",
+       "<g id=\"edge310\" class=\"edge\">\n",
+       "<title>125323597141424&#45;&gt;125323597148528+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1246.21,-924.41C1274.56,-944.41 1319.64,-976.23 1348.52,-996.61\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1346.22,-999.27 1356.41,-1002.17 1350.25,-993.55 1346.22,-999.27\"/>\n",
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+       "<!-- 125323597141424+ -->\n",
+       "<g id=\"node240\" class=\"node\">\n",
+       "<title>125323597141424+</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"1061.25\" cy=\"-844\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"1061.25\" y=\"-838.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323597141424+&#45;&gt;125323597141424 -->\n",
+       "<g id=\"edge94\" class=\"edge\">\n",
+       "<title>125323597141424+&#45;&gt;125323597141424</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M1084.92,-853.02C1104.8,-860.93 1134.59,-872.77 1160.95,-883.26\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1159.63,-886.5 1170.21,-886.94 1162.21,-879.99 1159.63,-886.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323597141472 -->\n",
+       "<g id=\"node241\" class=\"node\">\n",
+       "<title>125323597141472</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"783.75,-771 783.75,-807 969,-807 969,-771 783.75,-771\"/>\n",
+       "<text text-anchor=\"middle\" x=\"793.62\" y=\"-784.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"803.5,-771.5 803.5,-807\"/>\n",
+       "<text text-anchor=\"middle\" x=\"843.38\" y=\"-784.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.2184</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"883.25,-771.5 883.25,-807\"/>\n",
+       "<text text-anchor=\"middle\" x=\"926.12\" y=\"-784.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0021</text>\n",
+       "</g>\n",
+       "<!-- 125323597141472&#45;&gt;125323597141424+ -->\n",
+       "<g id=\"edge527\" class=\"edge\">\n",
+       "<title>125323597141472&#45;&gt;125323597141424+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M965.7,-807.48C976.75,-810.37 987.82,-813.55 998.25,-817 1008.29,-820.32 1018.95,-824.65 1028.54,-828.86\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"1026.89,-831.96 1037.44,-832.89 1029.77,-825.58 1026.89,-831.96\"/>\n",
+       "</g>\n",
+       "<!-- 125323597141472* -->\n",
+       "<g id=\"node242\" class=\"node\">\n",
+       "<title>125323597141472*</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"691.5\" cy=\"-789\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-783.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323597141472*&#45;&gt;125323597141472 -->\n",
+       "<g id=\"edge95\" class=\"edge\">\n",
+       "<title>125323597141472*&#45;&gt;125323597141472</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M718.7,-789C733.22,-789 752.31,-789 772.15,-789\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"772.05,-792.5 782.05,-789 772.05,-785.5 772.05,-792.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323597142000 -->\n",
+       "<g id=\"node243\" class=\"node\">\n",
+       "<title>125323597142000</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"387,-771 387,-807 626.25,-807 626.25,-771 387,-771\"/>\n",
+       "<text text-anchor=\"middle\" x=\"423.88\" y=\"-784.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"460.75,-771.5 460.75,-807\"/>\n",
+       "<text text-anchor=\"middle\" x=\"502.88\" y=\"-784.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"545,-771.5 545,-807\"/>\n",
+       "<text text-anchor=\"middle\" x=\"585.62\" y=\"-784.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0005</text>\n",
+       "</g>\n",
+       "<!-- 125323597142000&#45;&gt;125323597141472* -->\n",
+       "<g id=\"edge322\" class=\"edge\">\n",
+       "<title>125323597142000&#45;&gt;125323597141472*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M626.54,-789C635.78,-789 644.61,-789 652.6,-789\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"652.5,-792.5 662.5,-789 652.5,-785.5 652.5,-792.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323595406016 -->\n",
+       "<g id=\"node244\" class=\"node\">\n",
+       "<title>125323595406016</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"407.62,-908 407.62,-944 605.62,-944 605.62,-908 407.62,-908\"/>\n",
+       "<text text-anchor=\"middle\" x=\"423.88\" y=\"-921.2\" font-family=\"Times,serif\" font-size=\"14.00\">w1</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"440.12,-908.5 440.12,-944\"/>\n",
+       "<text text-anchor=\"middle\" x=\"482.25\" y=\"-921.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.2184</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"524.38,-908.5 524.38,-944\"/>\n",
+       "<text text-anchor=\"middle\" x=\"565\" y=\"-921.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.0024</text>\n",
+       "</g>\n",
+       "<!-- 125323595406016&#45;&gt;125323594222192* -->\n",
+       "<g id=\"edge720\" class=\"edge\">\n",
+       "<title>125323595406016&#45;&gt;125323594222192*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M606.05,-941.95C613.98,-945.25 621.59,-949.22 628.5,-954 652.22,-970.41 646.63,-985.36 664.5,-1008 665.69,-1009.5 666.94,-1011.02 668.22,-1012.54\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"665.47,-1014.71 674.73,-1019.86 670.7,-1010.06 665.47,-1014.71\"/>\n",
+       "</g>\n",
+       "<!-- 125323595406016&#45;&gt;125323609724144* -->\n",
+       "<g id=\"edge306\" class=\"edge\">\n",
+       "<title>125323595406016&#45;&gt;125323609724144*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M606.02,-911.47C623.06,-908.96 639.78,-906.49 653.78,-904.42\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"653.98,-907.93 663.36,-903.01 652.96,-901 653.98,-907.93\"/>\n",
+       "</g>\n",
+       "<!-- 125323595406016&#45;&gt;125323597141472* -->\n",
+       "<g id=\"edge530\" class=\"edge\">\n",
+       "<title>125323595406016&#45;&gt;125323597141472*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M606.12,-911.59C614.09,-908.21 621.68,-904.06 628.5,-899 655.67,-878.83 672.62,-842.99 681.79,-817.71\"/>\n",
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+       "<!-- 125323597409136* -->\n",
+       "<g id=\"node266\" class=\"node\">\n",
+       "<title>125323597409136*</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"691.5\" cy=\"-981\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"691.5\" y=\"-975.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323595406016&#45;&gt;125323597409136* -->\n",
+       "<g id=\"edge831\" class=\"edge\">\n",
+       "<title>125323595406016&#45;&gt;125323597409136*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M595.95,-944.48C607,-947.37 618.07,-950.55 628.5,-954 638.54,-957.32 649.2,-961.65 658.79,-965.86\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"657.14,-968.96 667.69,-969.89 660.02,-962.58 657.14,-968.96\"/>\n",
+       "</g>\n",
+       "<!-- 125323609726688 -->\n",
+       "<g id=\"node245\" class=\"node\">\n",
+       "<title>125323609726688</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"24,-1128 24,-1164 258.75,-1164 258.75,-1128 24,-1128\"/>\n",
+       "<text text-anchor=\"middle\" x=\"58.62\" y=\"-1141.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 2.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"93.25,-1128.5 93.25,-1164\"/>\n",
+       "<text text-anchor=\"middle\" x=\"133.12\" y=\"-1141.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 2.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"173,-1128.5 173,-1164\"/>\n",
+       "<text text-anchor=\"middle\" x=\"215.88\" y=\"-1141.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0000</text>\n",
+       "</g>\n",
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+       "<g id=\"node284\" class=\"node\">\n",
+       "<title>125323609734176*</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"321.75\" cy=\"-1146\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"321.75\" y=\"-1140.95\" font-family=\"Times,serif\" font-size=\"14.00\">*</text>\n",
+       "</g>\n",
+       "<!-- 125323609726688&#45;&gt;125323609734176* -->\n",
+       "<g id=\"edge563\" class=\"edge\">\n",
+       "<title>125323609726688&#45;&gt;125323609734176*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M258.86,-1146C267.44,-1146 275.64,-1146 283.1,-1146\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"283.03,-1149.5 293.03,-1146 283.03,-1142.5 283.03,-1149.5\"/>\n",
+       "</g>\n",
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+       "<g id=\"node246\" class=\"node\">\n",
+       "<title>125323609726928</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"754.5,-1046 754.5,-1082 998.25,-1082 998.25,-1046 754.5,-1046\"/>\n",
+       "<text text-anchor=\"middle\" x=\"791.38\" y=\"-1059.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
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+       "<text text-anchor=\"middle\" x=\"870.38\" y=\"-1059.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"955.38\" y=\"-1059.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0000</text>\n",
+       "</g>\n",
+       "<!-- 125323609726928&#45;&gt;125323609721984* -->\n",
+       "<g id=\"edge778\" class=\"edge\">\n",
+       "<title>125323609726928&#45;&gt;125323609721984*</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M978.47,-1082.43C985.35,-1085.18 992.02,-1088.35 998.25,-1092 1016.12,-1102.46 1031.79,-1119.76 1042.9,-1134.29\"/>\n",
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+       "<text text-anchor=\"middle\" x=\"870.38\" y=\"-1279.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
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+       "<text text-anchor=\"middle\" x=\"1377\" y=\"-1388.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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+       "<title>125323594231168&#45;&gt;125323594231840+</title>\n",
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+       "<title>125323594231840&#45;&gt;125323594228432tanh</title>\n",
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+       "<title>125323594231840+&#45;&gt;125323594231840</title>\n",
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+       "<title>125323597148528&#45;&gt;125323597147280tanh</title>\n",
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+       "<title>125323597148528+&#45;&gt;125323597148528</title>\n",
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+       "<g id=\"edge395\" class=\"edge\">\n",
+       "<title>125323597411056&#45;&gt;125323597409136*</title>\n",
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+       "<title>125323597149344&#45;&gt;125323597146464+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M601.74,-1091C619.83,-1091 637.79,-1091 652.76,-1091\"/>\n",
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+       "<!-- 125323597149344*&#45;&gt;125323597149344 -->\n",
+       "<g id=\"edge108\" class=\"edge\">\n",
+       "<title>125323597149344*&#45;&gt;125323597149344</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M348.95,-1091C362.9,-1091 381.09,-1091 400.1,-1091\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"399.85,-1094.5 409.85,-1091 399.85,-1087.5 399.85,-1094.5\"/>\n",
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+       "<title>125323597150160*&#45;&gt;125323597150160</title>\n",
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+       "<!-- 125323595159920&#45;&gt;125323595158624+ -->\n",
+       "<g id=\"edge386\" class=\"edge\">\n",
+       "<title>125323595159920&#45;&gt;125323595158624+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M6525.36,-5331.79C6556.99,-5336.65 6589.4,-5341.63 6613.29,-5345.3\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"6612.71,-5348.75 6623.12,-5346.81 6613.77,-5341.83 6612.71,-5348.75\"/>\n",
+       "</g>\n",
+       "<!-- 125323595160160 -->\n",
+       "<g id=\"node606\" class=\"node\">\n",
+       "<title>125323595160160</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"7391.25,-5433 7391.25,-5469 7572,-5469 7572,-5433 7391.25,-5433\"/>\n",
+       "<text text-anchor=\"middle\" x=\"7401.12\" y=\"-5446.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"7411,-5433.5 7411,-5469\"/>\n",
+       "<text text-anchor=\"middle\" x=\"7450.88\" y=\"-5446.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0071</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"7490.75,-5433.5 7490.75,-5469\"/>\n",
+       "<text text-anchor=\"middle\" x=\"7531.38\" y=\"-5446.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
+       "</g>\n",
+       "<!-- 125323595164960+ -->\n",
+       "<g id=\"node615\" class=\"node\">\n",
+       "<title>125323595164960+</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"7635\" cy=\"-5470\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"7635\" y=\"-5464.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323595160160&#45;&gt;125323595164960+ -->\n",
+       "<g id=\"edge619\" class=\"edge\">\n",
+       "<title>125323595160160&#45;&gt;125323595164960+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M7572.43,-5462.27C7580.95,-5463.34 7589.23,-5464.38 7596.8,-5465.33\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"7596.2,-5468.78 7606.56,-5466.56 7597.08,-5461.84 7596.2,-5468.78\"/>\n",
+       "</g>\n",
+       "<!-- 125323595160160+&#45;&gt;125323595160160 -->\n",
+       "<g id=\"edge261\" class=\"edge\">\n",
+       "<title>125323595160160+&#45;&gt;125323595160160</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M7355.27,-5441.89C7362.46,-5442.41 7370.73,-5443.01 7379.51,-5443.65\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"7379.12,-5447.13 7389.35,-5444.37 7379.63,-5440.15 7379.12,-5447.13\"/>\n",
+       "</g>\n",
+       "<!-- 125323595160976 -->\n",
+       "<g id=\"node608\" class=\"node\">\n",
+       "<title>125323595160976</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"5626.5,-5415 5626.5,-5451 5856.75,-5451 5856.75,-5415 5626.5,-5415\"/>\n",
+       "<text text-anchor=\"middle\" x=\"5661.12\" y=\"-5428.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: 1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"5695.75,-5415.5 5695.75,-5451\"/>\n",
+       "<text text-anchor=\"middle\" x=\"5735.62\" y=\"-5428.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 1.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"5775.5,-5415.5 5775.5,-5451\"/>\n",
+       "<text text-anchor=\"middle\" x=\"5816.12\" y=\"-5428.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 0.1286</text>\n",
+       "</g>\n",
+       "<!-- 125323595160976&#45;&gt;125323595158144+ -->\n",
+       "<g id=\"edge847\" class=\"edge\">\n",
+       "<title>125323595160976&#45;&gt;125323595158144+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M5857.14,-5437.38C5868.05,-5437.8 5878.5,-5438.2 5887.79,-5438.56\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"5887.65,-5442.05 5897.78,-5438.94 5887.92,-5435.06 5887.65,-5442.05\"/>\n",
+       "</g>\n",
+       "<!-- 125323595161696 -->\n",
+       "<g id=\"node609\" class=\"node\">\n",
+       "<title>125323595161696</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"5619.75,-5525 5619.75,-5561 5863.5,-5561 5863.5,-5525 5619.75,-5525\"/>\n",
+       "<text text-anchor=\"middle\" x=\"5656.62\" y=\"-5538.2\" font-family=\"Times,serif\" font-size=\"14.00\">const: &#45;1.0</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"5693.5,-5525.5 5693.5,-5561\"/>\n",
+       "<text text-anchor=\"middle\" x=\"5735.62\" y=\"-5538.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;1.0000</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"5777.75,-5525.5 5777.75,-5561\"/>\n",
+       "<text text-anchor=\"middle\" x=\"5820.62\" y=\"-5538.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.1066</text>\n",
+       "</g>\n",
+       "<!-- 125323595163904+ -->\n",
+       "<g id=\"node613\" class=\"node\">\n",
+       "<title>125323595163904+</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"5926.5\" cy=\"-5543\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"5926.5\" y=\"-5537.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323595161696&#45;&gt;125323595163904+ -->\n",
+       "<g id=\"edge754\" class=\"edge\">\n",
+       "<title>125323595161696&#45;&gt;125323595163904+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M5863.84,-5543C5872.34,-5543 5880.45,-5543 5887.84,-5543\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"5887.65,-5546.5 5897.65,-5543 5887.65,-5539.5 5887.65,-5546.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323595162560 -->\n",
+       "<g id=\"node610\" class=\"node\">\n",
+       "<title>125323595162560</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"6777.75,-5482 6777.75,-5518 6958.5,-5518 6958.5,-5482 6777.75,-5482\"/>\n",
+       "<text text-anchor=\"middle\" x=\"6787.62\" y=\"-5495.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"6797.5,-5482.5 6797.5,-5518\"/>\n",
+       "<text text-anchor=\"middle\" x=\"6837.38\" y=\"-5495.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0028</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"6877.25,-5482.5 6877.25,-5518\"/>\n",
+       "<text text-anchor=\"middle\" x=\"6917.88\" y=\"-5495.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
+       "</g>\n",
+       "<!-- 125323595162560&#45;&gt;125323595164960+ -->\n",
+       "<g id=\"edge542\" class=\"edge\">\n",
+       "<title>125323595162560&#45;&gt;125323595164960+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M6958.79,-5497.31C7019.5,-5495.71 7101.51,-5494 7173.88,-5494 7173.88,-5494 7173.88,-5494 7329.25,-5494 7437.34,-5494 7464.48,-5490.11 7572,-5479 7580.16,-5478.16 7588.9,-5477.03 7597.16,-5475.86\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"7597.54,-5479.34 7606.92,-5474.42 7596.52,-5472.41 7597.54,-5479.34\"/>\n",
+       "</g>\n",
+       "<!-- 125323595162560**2 -->\n",
+       "<g id=\"node611\" class=\"node\">\n",
+       "<title>125323595162560**2</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"6242.25\" cy=\"-5522\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"6242.25\" y=\"-5516.95\" font-family=\"Times,serif\" font-size=\"14.00\">**2</text>\n",
+       "</g>\n",
+       "<!-- 125323595162560**2&#45;&gt;125323595162560 -->\n",
+       "<g id=\"edge262\" class=\"edge\">\n",
+       "<title>125323595162560**2&#45;&gt;125323595162560</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M6269.66,-5521.07C6353.86,-5518.1 6619.04,-5508.75 6766.22,-5503.56\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"6766.09,-5507.07 6775.96,-5503.21 6765.85,-5500.07 6766.09,-5507.07\"/>\n",
+       "</g>\n",
+       "<!-- 125323595163904 -->\n",
+       "<g id=\"node612\" class=\"node\">\n",
+       "<title>125323595163904</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"5989.5,-5511 5989.5,-5547 6179.25,-5547 6179.25,-5511 5989.5,-5511\"/>\n",
+       "<text text-anchor=\"middle\" x=\"5999.38\" y=\"-5524.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"6009.25,-5511.5 6009.25,-5547\"/>\n",
+       "<text text-anchor=\"middle\" x=\"6051.38\" y=\"-5524.2\" font-family=\"Times,serif\" font-size=\"14.00\">data &#45;0.0533</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"6093.5,-5511.5 6093.5,-5547\"/>\n",
+       "<text text-anchor=\"middle\" x=\"6136.38\" y=\"-5524.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.1066</text>\n",
+       "</g>\n",
+       "<!-- 125323595163904&#45;&gt;125323595162560**2 -->\n",
+       "<g id=\"edge717\" class=\"edge\">\n",
+       "<title>125323595163904&#45;&gt;125323595162560**2</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M6179.64,-5524.77C6188.04,-5524.39 6196.18,-5524.02 6203.63,-5523.69\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"6203.74,-5527.19 6213.58,-5523.24 6203.43,-5520.19 6203.74,-5527.19\"/>\n",
+       "</g>\n",
+       "<!-- 125323595163904+&#45;&gt;125323595163904 -->\n",
+       "<g id=\"edge263\" class=\"edge\">\n",
+       "<title>125323595163904+&#45;&gt;125323595163904</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M5953.59,-5540.66C5960.78,-5540.01 5969.05,-5539.27 5977.86,-5538.48\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"5978.11,-5541.97 5987.75,-5537.59 5977.48,-5535 5978.11,-5541.97\"/>\n",
+       "</g>\n",
+       "<!-- 125323595164960 -->\n",
+       "<g id=\"node614\" class=\"node\">\n",
+       "<title>125323595164960</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"7698,-5452 7698,-5488 7878.75,-5488 7878.75,-5452 7698,-5452\"/>\n",
+       "<text text-anchor=\"middle\" x=\"7707.88\" y=\"-5465.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"7717.75,-5452.5 7717.75,-5488\"/>\n",
+       "<text text-anchor=\"middle\" x=\"7757.62\" y=\"-5465.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0100</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"7797.5,-5452.5 7797.5,-5488\"/>\n",
+       "<text text-anchor=\"middle\" x=\"7838.12\" y=\"-5465.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
+       "</g>\n",
+       "<!-- 125323595164960+&#45;&gt;125323595164960 -->\n",
+       "<g id=\"edge264\" class=\"edge\">\n",
+       "<title>125323595164960+&#45;&gt;125323595164960</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M7662.37,-5470C7669.51,-5470 7677.7,-5470 7686.39,-5470\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"7686.11,-5473.5 7696.11,-5470 7686.11,-5466.5 7686.11,-5473.5\"/>\n",
+       "</g>\n",
+       "<!-- 125323595165344 -->\n",
+       "<g id=\"node616\" class=\"node\">\n",
+       "<title>125323595165344</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"7084.5,-5362 7084.5,-5398 7265.25,-5398 7265.25,-5362 7084.5,-5362\"/>\n",
+       "<text text-anchor=\"middle\" x=\"7094.38\" y=\"-5375.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"7104.25,-5362.5 7104.25,-5398\"/>\n",
+       "<text text-anchor=\"middle\" x=\"7144.12\" y=\"-5375.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0030</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"7184,-5362.5 7184,-5398\"/>\n",
+       "<text text-anchor=\"middle\" x=\"7224.62\" y=\"-5375.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
+       "</g>\n",
+       "<!-- 125323595165344&#45;&gt;125323595160160+ -->\n",
+       "<g id=\"edge308\" class=\"edge\">\n",
+       "<title>125323595165344&#45;&gt;125323595160160+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M7222.53,-5398.49C7245.65,-5407.66 7273.03,-5418.51 7294,-5426.82\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"7292.62,-5430.04 7303.21,-5430.47 7295.2,-5423.53 7292.62,-5430.04\"/>\n",
+       "</g>\n",
+       "<!-- 125323595165344+&#45;&gt;125323595165344 -->\n",
+       "<g id=\"edge265\" class=\"edge\">\n",
+       "<title>125323595165344+&#45;&gt;125323595165344</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M7047.84,-5355.85C7055.2,-5357.26 7063.72,-5358.9 7072.79,-5360.63\"/>\n",
+       "<polygon fill=\"black\" stroke=\"black\" points=\"7072.12,-5364.07 7082.6,-5362.51 7073.44,-5357.2 7072.12,-5364.07\"/>\n",
+       "</g>\n",
+       "<!-- 125323596644432 -->\n",
+       "<g id=\"node618\" class=\"node\">\n",
+       "<title>125323596644432</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"4346.62,-5525 4346.62,-5561 4531.88,-5561 4531.88,-5525 4346.62,-5525\"/>\n",
+       "<text text-anchor=\"middle\" x=\"4356.5\" y=\"-5538.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"4366.38,-5525.5 4366.38,-5561\"/>\n",
+       "<text text-anchor=\"middle\" x=\"4406.25\" y=\"-5538.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.7110</text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"4446.12,-5525.5 4446.12,-5561\"/>\n",
+       "<text text-anchor=\"middle\" x=\"4489\" y=\"-5538.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0111</text>\n",
+       "</g>\n",
+       "<!-- 125323596645920+ -->\n",
+       "<g id=\"node628\" class=\"node\">\n",
+       "<title>125323596645920+</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"4601.25\" cy=\"-5653\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"4601.25\" y=\"-5647.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
+       "</g>\n",
+       "<!-- 125323596644432&#45;&gt;125323596645920+ -->\n",
+       "<g id=\"edge475\" class=\"edge\">\n",
+       "<title>125323596644432&#45;&gt;125323596645920+</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M4522.07,-5561.41C4527.78,-5564.17 4533.25,-5567.35 4538.25,-5571 4561.55,-5588.01 4556.38,-5602.36 4574.25,-5625 4575.44,-5626.5 4576.69,-5628.02 4577.97,-5629.54\"/>\n",
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+       "</g>\n",
+       "<!-- 125323596644432*&#45;&gt;125323596644432 -->\n",
+       "<g id=\"edge266\" class=\"edge\">\n",
+       "<title>125323596644432*&#45;&gt;125323596644432</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M4294.46,-5388.39C4298.06,-5392.21 4301.6,-5396.52 4304.25,-5401 4331.55,-5447.07 4301.73,-5478.79 4340.25,-5516 4341,-5516.72 4341.77,-5517.43 4342.55,-5518.12\"/>\n",
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+       "<g id=\"node620\" class=\"node\">\n",
+       "<title>125323596644480</title>\n",
+       "<polygon fill=\"none\" stroke=\"black\" points=\"6324.75,-5352 6324.75,-5388 6505.5,-5388 6505.5,-5352 6324.75,-5352\"/>\n",
+       "<text text-anchor=\"middle\" x=\"6334.62\" y=\"-5365.2\" font-family=\"Times,serif\" font-size=\"14.00\"> </text>\n",
+       "<polyline fill=\"none\" stroke=\"black\" points=\"6344.5,-5352.5 6344.5,-5388\"/>\n",
+       "<text text-anchor=\"middle\" x=\"6384.38\" y=\"-5365.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0018</text>\n",
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+       "<text text-anchor=\"middle\" x=\"6464.88\" y=\"-5365.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad 1.0000</text>\n",
+       "</g>\n",
+       "<!-- 125323596644480&#45;&gt;125323595158624+ -->\n",
+       "<g id=\"edge382\" class=\"edge\">\n",
+       "<title>125323596644480&#45;&gt;125323595158624+</title>\n",
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+       "<!-- 125323596644480**2 -->\n",
+       "<g id=\"node621\" class=\"node\">\n",
+       "<title>125323596644480**2</title>\n",
+       "<ellipse fill=\"none\" stroke=\"black\" cx=\"6242.25\" cy=\"-5370\" rx=\"27\" ry=\"18\"/>\n",
+       "<text text-anchor=\"middle\" x=\"6242.25\" y=\"-5364.95\" font-family=\"Times,serif\" font-size=\"14.00\">**2</text>\n",
+       "</g>\n",
+       "<!-- 125323596644480**2&#45;&gt;125323596644480 -->\n",
+       "<g id=\"edge267\" class=\"edge\">\n",
+       "<title>125323596644480**2&#45;&gt;125323596644480</title>\n",
+       "<path fill=\"none\" stroke=\"black\" d=\"M6269.57,-5370C6281.74,-5370 6297.05,-5370 6313.12,-5370\"/>\n",
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+       "<g id=\"node622\" class=\"node\">\n",
+       "<title>125323597136000</title>\n",
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+       "<polyline fill=\"none\" stroke=\"black\" points=\"5014.75,-5305.5 5014.75,-5341\"/>\n",
+       "<text text-anchor=\"middle\" x=\"5054.62\" y=\"-5318.2\" font-family=\"Times,serif\" font-size=\"14.00\">data 0.0707</text>\n",
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+       "<text text-anchor=\"middle\" x=\"5137.38\" y=\"-5318.2\" font-family=\"Times,serif\" font-size=\"14.00\">grad &#45;0.0072</text>\n",
+       "</g>\n",
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+       "<g id=\"node641\" class=\"node\">\n",
+       "<title>125323597141760+</title>\n",
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+       "<text text-anchor=\"middle\" x=\"5245.5\" y=\"-5317.95\" font-family=\"Times,serif\" font-size=\"14.00\">+</text>\n",
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+  {
+   "cell_type": "code",
+   "execution_count": 78,
+   "id": "ffd9f7cb-908d-48aa-992d-8f936045c09c",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "The shape of training images: (60000, 784) and training labels: (60000,)\n",
+      "The shape of test images: (10000, 784) and test labels: (10000,)\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "data_sources = {\n",
+    "    \"training_images\": \"train-images-idx3-ubyte.gz\",  # 60,000 training images.\n",
+    "    \"test_images\": \"t10k-images-idx3-ubyte.gz\",  # 10,000 test images.\n",
+    "    \"training_labels\": \"train-labels-idx1-ubyte.gz\",  # 60,000 training labels.\n",
+    "    \"test_labels\": \"t10k-labels-idx1-ubyte.gz\",  # 10,000 test labels.\n",
+    "}\n",
+    "\n",
+    "# Use responsibly! When running notebooks locally, be sure to keep local\n",
+    "# copies of the datasets to prevent unnecessary server requests\n",
+    "headers = {\n",
+    "    \"User-Agent\": \"Mozilla/5.0 (X11; Linux x86_64; rv:10.0) Gecko/20100101 Firefox/10.0\"\n",
+    "}\n",
+    "request_opts = {\n",
+    "    \"headers\": headers,\n",
+    "    \"params\": {\"raw\": \"true\"},\n",
+    "}\n",
+    "\n",
+    "import requests\n",
+    "import os\n",
+    "\n",
+    "data_dir = \"../_data\"\n",
+    "os.makedirs(data_dir, exist_ok=True)\n",
+    "\n",
+    "base_url = \"https://github.com/rossbar/numpy-tutorial-data-mirror/blob/main/\"\n",
+    "\n",
+    "for fname in data_sources.values():\n",
+    "    fpath = os.path.join(data_dir, fname)\n",
+    "    if not os.path.exists(fpath):\n",
+    "        print(\"Downloading file: \" + fname)\n",
+    "        resp = requests.get(base_url + fname, stream=True, **request_opts)\n",
+    "        resp.raise_for_status()  # Ensure download was succesful\n",
+    "        with open(fpath, \"wb\") as fh:\n",
+    "            for chunk in resp.iter_content(chunk_size=128):\n",
+    "                fh.write(chunk)\n",
+    "\n",
+    "import gzip\n",
+    "\n",
+    "mnist_dataset = {}\n",
+    "\n",
+    "# Images\n",
+    "for key in (\"training_images\", \"test_images\"):\n",
+    "    with gzip.open(os.path.join(data_dir, data_sources[key]), \"rb\") as mnist_file:\n",
+    "        mnist_dataset[key] = np.frombuffer(\n",
+    "            mnist_file.read(), np.uint8, offset=16\n",
+    "        ).reshape(-1, 28 * 28)\n",
+    "# Labels\n",
+    "for key in (\"training_labels\", \"test_labels\"):\n",
+    "    with gzip.open(os.path.join(data_dir, data_sources[key]), \"rb\") as mnist_file:\n",
+    "        mnist_dataset[key] = np.frombuffer(mnist_file.read(), np.uint8, offset=8)\n",
+    "\n",
+    "x_train, y_train, x_test, y_test = (\n",
+    "    mnist_dataset[\"training_images\"],\n",
+    "    mnist_dataset[\"training_labels\"],\n",
+    "    mnist_dataset[\"test_images\"],\n",
+    "    mnist_dataset[\"test_labels\"],\n",
+    ")\n",
+    "\n",
+    "print(\n",
+    "    \"The shape of training images: {} and training labels: {}\".format(\n",
+    "        x_train.shape, y_train.shape\n",
+    "    )\n",
+    ")\n",
+    "print(\n",
+    "    \"The shape of test images: {} and test labels: {}\".format(\n",
+    "        x_test.shape, y_test.shape\n",
+    "    )\n",
+    ")\n",
+    "\n",
+    "# Take the 60,000th image (indexed at 59,999) from the training set,\n",
+    "# reshape from (784, ) to (28, 28) to have a valid shape for displaying purposes.\n",
+    "mnist_image = x_train[0, :].reshape(28, 28)\n",
+    "# Set the color mapping to grayscale to have a black background.\n",
+    "plt.imshow(mnist_image, cmap=\"gray\")\n",
+    "# Display the image.\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 74,
+   "id": "3f8f1165-2a02-4b6f-85e6-7c9bcee655ee",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 5 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "num_examples = 5\n",
+    "seed = 147197952744\n",
+    "rng = np.random.default_rng(seed)\n",
+    "\n",
+    "fig, axes = plt.subplots(1, num_examples)\n",
+    "for sample, ax in zip(rng.choice(x_train, size=num_examples, replace=False), axes):\n",
+    "    ax.imshow(sample.reshape(28, 28), cmap=\"gray\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 102,
+   "id": "e37a04f2-52f2-4cbb-b186-92ffa23e2ed3",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
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+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        , 0.        ,\n",
+       "       0.        , 0.        , 0.        , 0.        ])"
+      ]
+     },
+     "execution_count": 102,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "np.divide(x_train, 255.0)[0]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 83,
+   "id": "099de0a6-a6c4-460a-994f-b64e6287f3e9",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "np.uint8(0)"
+      ]
+     },
+     "execution_count": 83,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "y_train[1]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 103,
+   "id": "d767c65f-5167-45b1-9b18-2900163035df",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "dataMap = {}\n",
+    "\n",
+    "for i in range(10):\n",
+    "    a = [0] * 10\n",
+    "    a[i] = 1\n",
+    "    dataMap[i] = a\n",
+    "\n",
+    "\n",
+    "ys = []\n",
+    "for y in y_train:\n",
+    "    ys.append(dataMap[y])\n",
+    "\n",
+    "xs = np.divide(x_train, 255.0).tolist()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "d8ff11da-2715-4866-a13f-457d8e9c5b6d",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "loss = Value(1000)\n",
+    "\n",
+    "n = MultiLayerPerceptron(784, [16, 10])\n",
+    "\n",
+    "while loss.data > 0.1:\n",
+    "    ypred = [n(x) for x in xs]\n",
+    "    loss = sum([(yout[0] - ygt)**2 for ygt, yout in zip(ys, ypred)])\n",
+    "    for p in n.parameters():\n",
+    "        p.grad = 0\n",
+    "    loss.backward()\n",
+    "    if loss.data < 0.1:\n",
+    "        break\n",
+    "    for p in n.parameters():\n",
+    "        p.data += -0.05 * p.grad\n",
+    "    print(loss.data)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "ceab5f8e-49b0-457a-8499-abcb4b3123ec",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.12.4"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/pyvenv.cfg b/pyvenv.cfg
new file mode 100644
index 0000000..e9ca925
--- /dev/null
+++ b/pyvenv.cfg
@@ -0,0 +1,5 @@
+home = /usr/bin
+include-system-site-packages = false
+version = 3.12.4
+executable = /usr/bin/python3.12
+command = /usr/bin/python3 -m venv /home/dubey/projects/dwsgrad