{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b0aab2ba",
   "metadata": {},
   "source": [
    "# Bayesian optimization of a SOI vertical grating coupler \n",
    "\n",
    "Grating couplers are photonic devices that couple light efficiently between optical fibers and integrated photonic waveguides. They work by diffracting light incident from above into the plane of the chip, enabling vertical fiber-to-chip coupling—a key functionality for scalable photonic integrated circuits. Vertical grating couplers are widely used because they simplify packaging and alignment compared to edge coupling, and can be designed with high efficiency for target wavelengths, such as the telecom band around 1.55 μm.\n",
    "\n",
    "This notebook demonstrates the design optimization of a vertical grating coupler using the Bayesian optimizer from Tidy3D's `design` plugin. The optimized design achieves a < 2dB coupling efficiency. The design is based on the work `T. Watanabe, M. Ayata, U. Koch, Y. Fedoryshyn and J. Leuthold, \"Perpendicular Grating Coupler Based on a Blazed Antiback-Reflection Structure,\" in Journal of Lightwave Technology, vol. 35, no. 21, pp. 4663-4669, 1 Nov.1, 2017.` [DOI: 10.1109/JLT.2017.2755673](https://ieeexplore.ieee.org/document/8048498).\n",
    "\n",
    "<center><img src=\"img/vertical_grating_coupler.png\" alt=\"schematic\"  width=\"500\"/></center>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "33ca12e3-efde-4d1b-8f47-d46dd9446bae",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Standard library imports\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "# Tidy3D imports\n",
    "import tidy3d as td\n",
    "import tidy3d.plugins.design as tdd\n",
    "import tidy3d.web as web"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ca3e1e07",
   "metadata": {},
   "source": [
    "## Simulation Setup\n",
    "\n",
    "We define the simulation parameters, including the wavelength range, fixed geometric parameters, and the materials (silicon and silicon oxide)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "597faf12-8d40-4e93-a181-45a20eff9f23",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define frequency and wavelength range\n",
    "lda0 = 1.55  # Central wavelength\n",
    "freq0 = td.C_0 / lda0  # Central frequency\n",
    "ldas = np.linspace(1.5, 1.6, 101)  # Wavelength range\n",
    "freqs = td.C_0 / ldas  # Frequency range\n",
    "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))  # Frequency width of the source"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "157a1dce-6b73-41ff-854e-9b883619ce35",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Geometric parameters\n",
    "h_si = 0.22  # Silicon thickness\n",
    "h_etch = 0.07  # Etch depth\n",
    "h_box = 3  # Buried oxide thickness\n",
    "h_clad = 1.5  # Cladding thickness\n",
    "n = 20  # Number of grating periods\n",
    "mfd = 10.4  # Mode field diameter\n",
    "ly = 15  # Grating size in y\n",
    "\n",
    "# Materials\n",
    "n_si = 3.45\n",
    "mat_si = td.Medium(permittivity=n_si**2)\n",
    "\n",
    "n_sio2 = 1.45\n",
    "mat_sio2 = td.Medium(permittivity=n_sio2**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f7b8074",
   "metadata": {},
   "source": [
    "The grating coupler geometry is parameterized by the thickness and width of the grating teeth (`t1`, `t2`, `w1`, `w2`, `w3`). The `make_grating` function constructs the grating geometry, and `make_sim_2d` creates the full Tidy3D simulation, including the waveguide, substrate, source, and monitors. We will start our optimization in 2D since it's much faster and cheaper. Then we will verify the optimal design with the full 3D simulation.\n",
    "\n",
    "<center><img src=\"img/grating_schematic.png\" alt=\"schematic\"  width=\"400\"/></center>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1872e356-bdd9-4104-8cb7-cbaff1c6013d",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_grating(t1, t2, w1, w2, w3):\n",
    "    \"\"\"Constructs the grating geometry based on parameters.\"\"\"\n",
    "    p = t1 + t2 + w1 + w2 + w3  # Grating period\n",
    "    grating = 0\n",
    "    for i in range(n):\n",
    "        # First tooth section\n",
    "        grating += td.Box.from_bounds(\n",
    "            rmin=(i * p + t1, -ly / 2, 0), rmax=(i * p + t1 + w1, ly / 2, h_si)\n",
    "        )\n",
    "\n",
    "        # Etched section\n",
    "        grating += td.Box.from_bounds(\n",
    "            rmin=(i * p + t1 + w1 + t2, -ly / 2, 0),\n",
    "            rmax=(i * p + t1 + w1 + t2 + w2, ly / 2, h_si - h_etch),\n",
    "        )\n",
    "\n",
    "        # Second tooth section\n",
    "        grating += td.Box.from_bounds(\n",
    "            rmin=(i * p + t1 + w1 + t2 + w2, -ly / 2, 0),\n",
    "            rmax=(i * p + t1 + w1 + t2 + w2 + w3, ly / 2, h_si),\n",
    "        )\n",
    "\n",
    "    return td.Structure(geometry=grating, medium=mat_si)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "33ae0b65-66b4-49a3-acd0-76cddd2477ff",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_sim_2d(t1, t2, w1, w2, w3):\n",
    "    \"\"\"Creates the Tidy3D simulation.\"\"\"\n",
    "    grating = make_grating(t1, t2, w1, w2, w3)\n",
    "\n",
    "    p = t1 + t2 + w1 + w2 + w3  # Grating period\n",
    "    lx = p * n  # Grating size in x\n",
    "    inf_eff = 1e3  # effective infinity\n",
    "\n",
    "    # Waveguide\n",
    "    waveguide = td.Structure(\n",
    "        geometry=td.Box.from_bounds(rmin=(-inf_eff, -ly / 2, 0), rmax=(0, ly / 2, h_si)),\n",
    "        medium=mat_si,\n",
    "    )\n",
    "\n",
    "    # Cladding and buried oxide\n",
    "    box_clad = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-inf_eff, -inf_eff, -h_box), rmax=(inf_eff, inf_eff, h_clad + h_si)\n",
    "        ),\n",
    "        medium=mat_sio2,\n",
    "    )\n",
    "\n",
    "    # Substrate\n",
    "    substrate = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-inf_eff, -inf_eff, -h_box - inf_eff), rmax=(inf_eff, inf_eff, -h_box)\n",
    "        ),\n",
    "        medium=mat_si,\n",
    "    )\n",
    "\n",
    "    # Gaussian beam source\n",
    "    gaussian_beam = td.GaussianBeam(\n",
    "        center=(lx / 2, 0, h_clad + lda0 / 2),\n",
    "        size=(2 * mfd, 2 * mfd, 0),\n",
    "        source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "        pol_angle=np.pi / 2,\n",
    "        angle_theta=0,\n",
    "        angle_phi=0,\n",
    "        direction=\"-\",\n",
    "        waist_radius=mfd / 2,\n",
    "        waist_distance=0,\n",
    "    )\n",
    "\n",
    "    # Mode monitor\n",
    "    mode_monitor = td.ModeMonitor(\n",
    "        center=(-lda0 / 2, 0, h_si / 2),\n",
    "        size=(0, 1.5 * ly, 5 * h_si),\n",
    "        freqs=freqs,\n",
    "        mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n",
    "        name=\"mode\",\n",
    "    )\n",
    "\n",
    "    # Simulation domain box\n",
    "    sim_box = td.Box.from_bounds(\n",
    "        rmin=(-0.6 * lda0, 0, -h_box - 0.6 * lda0),\n",
    "        rmax=(lx + 0.6 * lda0, 0, h_clad + h_si + 0.6 * lda0),\n",
    "    )\n",
    "\n",
    "    # Define the simulation\n",
    "    sim = td.Simulation(\n",
    "        center=sim_box.center,\n",
    "        size=sim_box.size,\n",
    "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=20),\n",
    "        run_time=1e-11,\n",
    "        structures=[substrate, box_clad, grating, waveguide],\n",
    "        sources=[gaussian_beam],\n",
    "        monitors=[mode_monitor],\n",
    "        boundary_spec=td.BoundarySpec(\n",
    "            x=td.Boundary.pml(),\n",
    "            y=td.Boundary.periodic(),  # set the boundary to periodic in y since it's a 2D simulation\n",
    "            z=td.Boundary.pml(),\n",
    "        ),\n",
    "    )\n",
    "    return sim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f2bcd3c2-256a-41ba-9a46-e7850e1ed2f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Create a simulation instance with some arbitrary parameters\n",
    "sim = make_sim_2d(t1=0.1, t2=0.1, w1=0.1, w2=0.25, w3=0.1)\n",
    "\n",
    "# Visualize the permittivity distribution\n",
    "sim.plot_eps(y=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "900bad9a",
   "metadata": {},
   "source": [
    "## Optimization\n",
    "\n",
    "Bayesian optimization is a powerful strategy for optimizing expensive-to-evaluate functions, using a probabilistic model to efficiently explore the parameter space and identify optimal solutions with fewer simulations. \n",
    "\n",
    "To optimize the grating design for maximal coupling efficiency at 1550 nm, we configure the Bayesian optimization using [MethodBayOpt](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.design.MethodBayOpt.html#tidy3d.plugins.design.MethodBayOpt).\n",
    "\n",
    "We define the design space for the grating parameters and specify the objective function `compute_transmission`, which calculates the transmission efficiency based on the mode monitor data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "57c11f71",
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_transmission(sim_data):\n",
    "    \"\"\"Calculates the coupling efficiency from the simulation data.\"\"\"\n",
    "    # Extract mode amplitude data at 1550 nm\n",
    "    T = np.abs(sim_data[\"mode\"].amps.sel(mode_index=0, f=freq0, direction=\"-\").values) ** 2\n",
    "    # Return coupling efficiency in dB\n",
    "    return 10 * np.log10(T)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6fbb215",
   "metadata": {},
   "source": [
    "To ensure fabrication constraint, we limit the minimal feature size to 50 nm. All design parameters have a range from 50 nm to 250 nm. \n",
    "\n",
    "After running the optimization, we achieved a design with sub 2dB coupling efficiency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b04e8154-de10-4939-9d62-57406aed846a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:32:15 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">50</span> Simulations                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:32:15 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m50\u001b[0m Simulations                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:33:46 Eastern Standard Time </span>Best Fit from Initial Solutions: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-7.691</span>          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:33:46 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mBest Fit from Initial Solutions: \u001b[1;36m-7.691\u001b[0m          \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:33:47 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:33:47 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:33:52 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:33:52 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:33:58 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:33:58 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:03 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:03 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:09 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:09 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:13 Eastern Standard Time </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-7.068</span>                \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:13 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mLatest Best Fit on Iter \u001b[1;36m4\u001b[0m: \u001b[1;36m-7.068\u001b[0m                \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:15 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:15 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:21 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:21 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:25 Eastern Standard Time </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">6</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-6.926</span>                \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:25 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mLatest Best Fit on Iter \u001b[1;36m6\u001b[0m: \u001b[1;36m-6.926\u001b[0m                \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:26 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:26 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:32 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:32 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:38 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:38 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:42 Eastern Standard Time </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">9</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-3.59</span>                 \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:42 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mLatest Best Fit on Iter \u001b[1;36m9\u001b[0m: \u001b[1;36m-3.59\u001b[0m                 \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:44 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:44 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:48 Eastern Standard Time </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">10</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-2.235</span>               \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:48 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mLatest Best Fit on Iter \u001b[1;36m10\u001b[0m: \u001b[1;36m-2.235\u001b[0m               \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:49 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:49 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:34:55 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:34:55 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:35:01 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:35:01 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:35:08 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:35:08 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:35:14 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:35:14 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:35:21 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:35:21 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:35:27 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:35:27 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:35:35 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:35:35 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:35:42 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:35:42 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:35:49 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:35:49 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:35:56 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:35:56 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:36:02 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:36:02 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:36:10 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:36:10 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:36:17 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:36:17 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:36:24 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:36:24 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:36:29 Eastern Standard Time </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">25</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-2.145</span>               \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:36:29 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mLatest Best Fit on Iter \u001b[1;36m25\u001b[0m: \u001b[1;36m-2.145\u001b[0m               \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:36:32 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:36:32 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:36:40 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:36:40 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:36:47 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:36:47 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:36:55 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:36:55 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:37:01 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:37:01 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:37:08 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:37:08 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:37:16 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:37:16 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:37:24 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:37:24 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:37:31 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:37:31 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:37:39 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:37:39 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:37:47 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:37:47 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:37:54 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:37:54 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:38:02 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:38:02 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:38:10 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:38:10 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:38:18 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:38:18 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:38:25 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:38:25 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:38:33 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:38:33 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:38:41 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:38:41 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:38:48 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:38:48 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:38:55 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:38:55 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:39:03 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:39:03 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:39:11 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:39:11 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:39:19 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:39:19 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:39:26 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:39:26 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:39:34 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:39:34 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:39:42 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:39:42 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:39:50 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:39:50 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:39:58 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:39:58 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:40:06 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:40:06 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:40:13 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:40:13 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:40:22 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:40:22 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:40:30 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:40:30 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:40:38 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:40:38 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:40:45 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:40:45 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:40:53 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:40:53 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:40:57 Eastern Standard Time </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">60</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-1.962</span>               \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:40:57 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mLatest Best Fit on Iter \u001b[1;36m60\u001b[0m: \u001b[1;36m-1.962\u001b[0m               \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:41:02 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:41:02 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:41:09 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:41:09 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:41:16 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:41:16 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:41:24 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:41:24 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:41:32 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:41:32 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:41:40 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:41:40 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:41:48 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:41:48 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:41:55 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:41:55 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:41:59 Eastern Standard Time </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">68</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-1.689</span>               \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:41:59 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mLatest Best Fit on Iter \u001b[1;36m68\u001b[0m: \u001b[1;36m-1.689\u001b[0m               \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:42:03 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:42:03 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:42:11 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:42:11 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:42:20 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:42:20 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:42:28 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:42:28 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:42:35 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:42:35 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:42:42 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:42:42 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:42:49 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:42:49 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:42:56 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:42:56 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:43:00 Eastern Standard Time </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">76</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-1.473</span>               \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:43:00 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mLatest Best Fit on Iter \u001b[1;36m76\u001b[0m: \u001b[1;36m-1.473\u001b[0m               \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:43:04 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:43:04 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:43:12 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:43:12 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:43:19 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:43:19 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:43:28 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:43:28 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:43:36 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:43:36 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:43:44 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:43:44 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:43:54 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:43:54 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:44:02 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:44:02 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:44:11 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:44:11 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:44:19 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:44:19 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:44:28 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:44:28 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:44:37 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:44:37 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:44:46 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:44:46 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:44:55 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:44:55 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:45:04 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:45:04 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:45:14 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:45:14 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:45:22 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:45:22 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:45:30 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:45:30 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:45:39 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:45:39 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:45:47 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:45:47 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:45:57 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:45:57 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:46:08 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:46:08 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:46:19 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:46:19 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:46:29 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:46:29 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:46:38 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:46:38 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:46:47 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:46:47 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:46:57 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:46:57 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:47:09 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:47:09 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:47:13 Eastern Standard Time </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">104</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-1.438</span>              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:47:13 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mLatest Best Fit on Iter \u001b[1;36m104\u001b[0m: \u001b[1;36m-1.438\u001b[0m              \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:47:21 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:47:21 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:47:32 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:47:32 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:47:36 Eastern Standard Time </span>Latest Best Fit on Iter <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">106</span>: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-1.431</span>              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:47:36 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mLatest Best Fit on Iter \u001b[1;36m106\u001b[0m: \u001b[1;36m-1.431\u001b[0m              \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:47:43 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:47:43 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:47:54 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:47:54 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:48:05 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:48:05 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:48:18 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:48:18 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:48:30 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:48:30 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:48:40 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:48:40 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:48:50 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:48:50 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:49:00 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:49:00 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:49:13 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:49:13 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:49:22 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:49:22 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:49:32 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:49:32 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:49:41 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:49:41 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:49:51 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:49:51 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:50:00 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:50:00 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:50:10 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:50:10 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:50:21 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:50:21 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:50:32 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:50:32 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:50:45 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:50:45 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:50:55 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:50:55 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:51:06 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:51:06 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:51:19 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:51:19 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:51:31 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:51:31 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:51:43 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:51:43 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:51:55 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:51:55 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:52:07 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:52:07 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:52:17 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:52:17 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:52:27 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:52:27 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:52:39 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:52:39 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:52:50 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:52:50 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:53:00 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:53:00 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:53:15 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:53:15 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:53:26 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:53:26 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:53:37 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:53:37 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:53:48 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:53:48 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:54:00 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:54:00 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:54:12 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:54:12 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:54:22 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:54:22 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:54:34 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:54:34 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:54:43 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:54:43 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:54:53 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:54:53 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:55:05 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:55:05 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:55:16 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:55:16 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:55:28 Eastern Standard Time </span>Running <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span> Simulations                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:55:28 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mRunning \u001b[1;36m1\u001b[0m Simulations                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:55:32 Eastern Standard Time </span>Best Result: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">-1.4312574950042578</span>                 \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>Best Parameters: t1: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.06619187862910186</span> t2:     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.07768004339792024</span> w1: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.09880189782129595</span> w2:  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.25</span> w3: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.1572388312903357</span>                      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:55:32 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mBest Result: \u001b[1;36m-1.4312574950042578\u001b[0m                 \n",
       "\u001b[2;36m                               \u001b[0mBest Parameters: t1: \u001b[1;36m0.06619187862910186\u001b[0m t2:     \n",
       "\u001b[2;36m                               \u001b[0m\u001b[1;36m0.07768004339792024\u001b[0m w1: \u001b[1;36m0.09880189782129595\u001b[0m w2:  \n",
       "\u001b[2;36m                               \u001b[0m\u001b[1;36m0.25\u001b[0m w3: \u001b[1;36m0.1572388312903357\u001b[0m                      \n",
       "\u001b[2;36m                               \u001b[0m                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define optimization method (Bayesian optimization)\n",
    "method = tdd.MethodBayOpt(\n",
    "    initial_iter=50,\n",
    "    n_iter=150,\n",
    "    acq_func=\"ucb\",\n",
    "    kappa=1,\n",
    "    seed=4,\n",
    ")\n",
    "\n",
    "span = (0.05, 0.25)  # Parameter value range\n",
    "\n",
    "# Define optimization parameters\n",
    "parameters = [\n",
    "    tdd.ParameterFloat(name=\"t1\", span=span),\n",
    "    tdd.ParameterFloat(name=\"t2\", span=span),\n",
    "    tdd.ParameterFloat(name=\"w1\", span=span),\n",
    "    tdd.ParameterFloat(name=\"w2\", span=span),\n",
    "    tdd.ParameterFloat(name=\"w3\", span=span),\n",
    "]\n",
    "\n",
    "# Define a design space\n",
    "design_space = tdd.DesignSpace(\n",
    "    method=method, parameters=parameters, task_name=\"bay_opt\", path_dir=\"./data\"\n",
    ")\n",
    "\n",
    "# Run the design optimization\n",
    "results = design_space.run(make_sim_2d, compute_transmission, verbose=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a129072e",
   "metadata": {},
   "source": [
    "## Final Design\n",
    "\n",
    "After the optimization runs, we extract the best parameters and then run a 3D final simulation with these optimal parameters to verify the design from the previous 2D simulations. The 3D simulation can be made by copying the 2D simulation and updating the simulation domain size and boundary condition. To help with visualization, we also added two [FieldMonitors](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html) in the $xy$ and $xz$ planes. Also note that the 3D simulation has a symmetry in the $y$ direction that we can utilize to reduce the computational cost and time. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c6fa10c4-ef52-4626-9a17-ef134833cc56",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Define field monitors for visualization\n",
    "field_xy = td.FieldMonitor(\n",
    "    center=(0, 0, h_si / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field_xy\"\n",
    ")\n",
    "\n",
    "field_xz = td.FieldMonitor(\n",
    "    center=(0, 0, 0), size=(td.inf, 0, td.inf), freqs=[freq0], name=\"field_xz\"\n",
    ")\n",
    "\n",
    "# Extract optimal parameters from the results\n",
    "optimal_params = results.optimizer.max[\"params\"]\n",
    "\n",
    "# Make a 2D simulation with the optimal parameters\n",
    "sim_opt = make_sim_2d(**optimal_params)\n",
    "\n",
    "# Update simulation with monitors and new domain size to make it 3D\n",
    "sim_opt = sim_opt.updated_copy(\n",
    "    size=(sim_opt.size[0], ly + 1.2 * lda0, sim_opt.size[2]),\n",
    "    monitors=[sim_opt.monitors[0], field_xy, field_xz],\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    symmetry=(0, -1, 0),\n",
    ")\n",
    "\n",
    "# Plot the permittivity distribution of the optimal design\n",
    "fig, ax = plt.subplots(2, 1, figsize=(8, 8), tight_layout=True)\n",
    "\n",
    "# Plot the permittivity distribution in the xy plane\n",
    "sim_opt.plot_eps(z=h_si / 2, ax=ax[0], monitor_alpha=0.1)\n",
    "\n",
    "# Add a circle to indicate the mode field diameter\n",
    "lx = sum(optimal_params.values()) * n\n",
    "circle = plt.Circle((lx / 2, 0), mfd / 2, color=\"red\", alpha=0.6, fill=True)\n",
    "ax[0].add_patch(circle)\n",
    "\n",
    "# Plot the permittivity distribution in the xz plane\n",
    "sim_opt.plot_eps(y=0, ax=ax[1], monitor_alpha=0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ebb9e0e3",
   "metadata": {},
   "source": [
    "Run the 3D simulation and plot the coupling efficiency spectrum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8a52b83c-7a13-49b4-8967-14527528f0b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:55:33 Eastern Standard Time </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'optimal design'</span> with task_id       \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-feef3272-1211-48cf-a8c3-a6afe75cd1d5'</span> and  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:55:33 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'optimal design'\u001b[0m with task_id       \n",
       "\u001b[2;36m                               \u001b[0m\u001b[32m'fdve-feef3272-1211-48cf-a8c3-a6afe75cd1d5'\u001b[0m and  \n",
       "\u001b[2;36m                               \u001b[0mtask_type \u001b[32m'FDTD'\u001b[0m.                                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>View task using web UI at                        \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-feef3272-1211-48cf-a8c3-a6afe75cd1d5\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-feef3272-1211-48cf-a8c3-a6afe75cd1d5\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">=fdve-feef3272-1211-48cf-a8c3-a6afe75cd1d5'</span></a>.     \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m                              \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                        \n",
       "\u001b[2;36m                               \u001b[0m\u001b]8;id=796736;https://tidy3d.simulation.cloud/workbench?taskId=fdve-feef3272-1211-48cf-a8c3-a6afe75cd1d5\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=5277;https://tidy3d.simulation.cloud/workbench?taskId=fdve-feef3272-1211-48cf-a8c3-a6afe75cd1d5\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m                               \u001b[0m\u001b]8;id=796736;https://tidy3d.simulation.cloud/workbench?taskId=fdve-feef3272-1211-48cf-a8c3-a6afe75cd1d5\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=750722;https://tidy3d.simulation.cloud/workbench?taskId=fdve-feef3272-1211-48cf-a8c3-a6afe75cd1d5\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=796736;https://tidy3d.simulation.cloud/workbench?taskId=fdve-feef3272-1211-48cf-a8c3-a6afe75cd1d5\u001b\\\u001b[32m-feef3272-1211-48cf-a8c3-a6afe75cd1d5'\u001b[0m\u001b]8;;\u001b\\.     \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/639eb096-a602-4b56-a502-cac1f18f9557\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                          \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m                              \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=401630;https://tidy3d.simulation.cloud/folders/639eb096-a602-4b56-a502-cac1f18f9557\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                          \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "9db619dbd087412e8d4611b86934e659",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:55:34 Eastern Standard Time </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">3.384</span>. Minimum cost     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>depends on task execution details. Use           \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed       \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">                               </span>FlexCredit cost after a simulation run.          \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:55:34 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m3.384\u001b[0m. Minimum cost     \n",
       "\u001b[2;36m                               \u001b[0mdepends on task execution details. Use           \n",
       "\u001b[2;36m                               \u001b[0m\u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed       \n",
       "\u001b[2;36m                               \u001b[0mFlexCredit cost after a simulation run.          \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:55:35 Eastern Standard Time </span>status = success                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:55:35 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "208fd32f4639417bba76181ed11f6e89",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">22:55:37 Eastern Standard Time </span>loading simulation from simulation_data.hdf5     \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m22:55:37 Eastern Standard Time\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5     \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Run the 3D simulation\n",
    "sim_data_opt = web.run(sim_opt, \"optimal design\")\n",
    "\n",
    "# extract coupling efficiency and plot it\n",
    "amp = sim_data_opt[\"mode\"].amps.sel(mode_index=0, direction=\"-\")\n",
    "T = np.abs(amp) ** 2\n",
    "plt.plot(ldas, 10 * np.log10(T), c=\"red\", linewidth=2)\n",
    "plt.ylim(-12, 0)\n",
    "plt.xlabel(\"Wavelength (μm)\")\n",
    "plt.ylabel(\"Coupling efficiency (dB)\")\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ac63b7df",
   "metadata": {},
   "source": [
    "Finally, plot the field distribution to visualize the mode coupling."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "5152426f-f2da-4051-a9a7-9281e000c90a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x800 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, figsize=(6, 8), tight_layout=True)\n",
    "sim_data_opt.plot_field(\"field_xy\", \"E\", \"abs\", ax=ax[0])\n",
    "sim_data_opt.plot_field(\"field_xz\", \"E\", \"abs\", ax=ax[1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "67816f2a-c104-4521-93b4-6d0a75ebc189",
   "metadata": {},
   "source": [
    "## Final Notes\n",
    "\n",
    "The grating coupler is typically connected to a waveguide taper, which enables an adiabatic transition into a single-mode waveguide. In our simulation, we omit the taper to reduce computational cost. The taper itself can be optimized independently to ensure minimal loss, thereby maintaining a high overall coupling efficiency for the complete device.\n",
    "\n",
    "In addition to Bayesian optimization, alternative optimization strategies, such as particle swarm optimization (PSO) and adjoint-based inverse design, can also be used to further improve device performance, for example through apodization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7e4617f3-5336-4f4f-bfc0-a4f2cf47ec78",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "applications": [
   "Passive photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates how to model a vertical grating coupler and use Bayesian optimization to optimize it in Tidy3D FDTD.",
  "feature_image": "./img/vertical_grating_coupler.png",
  "features": [
   "Global optimization",
   "2D simulation",
   "Design plugin"
  ],
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "silicon photonics, PIC, integrated photonics, grating coupler, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.0"
  },
  "title": "Bayesian Optimization of a SOI Vertical Grating Coupler in Tidy3D | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
