vizier_blog_post.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": [],
      "authorship_tag": "ABX9TyM2JvfeW5O/9em/mjVeOftI",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/skzv/vizier-blog-post/blob/main/vizier_blog_post.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "bLeH6R331Tjh"
      },
      "outputs": [],
      "source": [
        "! pip3 install google-vizier==0.0.4\n",
        "! pip3 install --upgrade google-cloud-aiplatform -q"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from google.colab import auth as google_auth\n",
        "\n",
        "google_auth.authenticate_user()"
      ],
      "metadata": {
        "id": "FUptTCiwLweB"
      },
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Generating data"
      ],
      "metadata": {
        "id": "OF8dCBa2qkby"
      }
    },
    {
      "cell_type": "code",
      "execution_count": 89,
      "metadata": {
        "id": "HeMlacsAgKic"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.stats import norm\n",
        "from scipy.stats import laplace\n",
        "\n",
        "x = np.linspace(-10, 10.0, num=150)\n",
        "A = 100\n"
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "#### Guassian"
      ],
      "metadata": {
        "id": "fvKuMyySquf5"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "y_g = A * norm.pdf(x, 5, 2);\n",
        "\n",
        "plt.plot(x, y_g)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "_QiMTWM2h84e",
        "outputId": "56ce3c31-6bab-4f81-a608-8ed5687601a1"
      },
      "execution_count": 90,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f019356a370>]"
            ]
          },
          "metadata": {},
          "execution_count": 90
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Laplace"
      ],
      "metadata": {
        "id": "aVhdNPAkqw0d"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "y_l= A * laplace.pdf(x, 5, 2);\n",
        "\n",
        "plt.plot(x, y_l)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "uq6Q1Cseh921",
        "outputId": "28f42ab3-6fe5-46c6-ac12-3f35ac007d1f"
      },
      "execution_count": 91,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f0193547e50>]"
            ]
          },
          "metadata": {},
          "execution_count": 91
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Add some noise!"
      ],
      "metadata": {
        "id": "EKS798F8qyxh"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "r = np.random.normal(0, 1, 150)\n",
        "y_g_r = y_g + r\n",
        "y_l_r = y_l + r"
      ],
      "metadata": {
        "id": "6gMBizTmiM-I"
      },
      "execution_count": 92,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(x, y_g_r)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "ekz5RzTXit6N",
        "outputId": "bdf047bc-ea75-48cc-8f50-5b6d208a6cf0"
      },
      "execution_count": 93,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f019349dc40>]"
            ]
          },
          "metadata": {},
          "execution_count": 93
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(x, y_l_r)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "teMSC76ai2GC",
        "outputId": "08fb1d77-c7bf-487f-f3c4-7ddcc0ee2032"
      },
      "execution_count": 94,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f019347a760>]"
            ]
          },
          "metadata": {},
          "execution_count": 94
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "from google.cloud import aiplatform"
      ],
      "metadata": {
        "id": "vqVxFDRM1YvG"
      },
      "execution_count": 95,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import datetime\n",
        "\n",
        "REGION = \"us-central1\"\n",
        "PROJECT_ID = \"vizier-blog-post\"\n",
        "\n",
        "ENDPOINT = REGION + '-aiplatform.googleapis.com'\n",
        "PARENT = 'projects/{}/locations/{}'.format(PROJECT_ID, REGION)"
      ],
      "metadata": {
        "id": "gmPz_XNnL6Cy"
      },
      "execution_count": 96,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "param_model = {\n",
        "    'parameter_id': 'model',\n",
        "    'categorical_value_spec' : {\n",
        "        'values': [\n",
        "            'gaussian',\n",
        "            'laplace',\n",
        "        ]\n",
        "    },\n",
        "    'conditional_parameter_specs': [\n",
        "      {\n",
        "        \"parameter_spec\": {\n",
        "          \"parameter_id\": \"mu\",\n",
        "          \"scale_type\": 'UNIT_LINEAR_SCALE',\n",
        "          \"double_value_spec\": {\n",
        "            \"min_value\": 0,\n",
        "            \"max_value\": 10.0,\n",
        "          },\n",
        "        },\n",
        "        \"parent_categorical_values\": {\n",
        "          \"values\": ['gaussian']\n",
        "        }\n",
        "      },\n",
        "      {\n",
        "        \"parameter_spec\": {\n",
        "          \"parameter_id\": \"sigma\",\n",
        "          \"scale_type\": 'UNIT_LINEAR_SCALE',\n",
        "          \"double_value_spec\": {\n",
        "            \"min_value\": 1e-1,\n",
        "            \"max_value\": 5.0,\n",
        "          },\n",
        "        },\n",
        "        \"parent_categorical_values\": {\n",
        "          \"values\": ['gaussian']\n",
        "        }\n",
        "      },\n",
        "      {\n",
        "        \"parameter_spec\": {\n",
        "          \"parameter_id\": \"a\",\n",
        "          \"scale_type\": 'UNIT_LINEAR_SCALE',\n",
        "          \"double_value_spec\": {\n",
        "            \"min_value\": 0,\n",
        "            \"max_value\": 10.0,\n",
        "          },\n",
        "        },\n",
        "        \"parent_categorical_values\": {\n",
        "          \"values\": ['laplace']\n",
        "        }\n",
        "      },\n",
        "      {\n",
        "        \"parameter_spec\": {\n",
        "          \"parameter_id\": \"b\",\n",
        "          \"scale_type\": 'UNIT_LINEAR_SCALE',\n",
        "          \"double_value_spec\": {\n",
        "            \"min_value\": 1e-1,\n",
        "            \"max_value\": 5.0,\n",
        "          },\n",
        "        },\n",
        "        \"parent_categorical_values\": {\n",
        "          \"values\": ['laplace']\n",
        "        }\n",
        "      },\n",
        "    ],\n",
        "}\n",
        "\n",
        "metric_ssr = {\n",
        "    'metric_id': 'sum_of_squared_residuals',\n",
        "    'goal': 'MINIMIZE',\n",
        "}\n",
        "\n",
        "study = {\n",
        "    'display_name': 'vizier_experiment',\n",
        "    'study_spec' :\n",
        "    {\n",
        "        'parameters': [param_model],\n",
        "        'metrics': [metric_ssr]\n",
        "    }\n",
        "}"
      ],
      "metadata": {
        "id": "7xvYixlo3PDp"
      },
      "execution_count": 99,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "vizier_client = aiplatform.gapic.VizierServiceClient(client_options=dict(api_endpoint=ENDPOINT))\n",
        "study = vizier_client.create_study(parent=PARENT, study=study)\n",
        "\n",
        "STUDY_ID = study.name\n",
        "print(\"STUDY_ID: {}\".format(STUDY_ID))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "fxT5W8m23qXg",
        "outputId": "46462c75-684d-4732-9d2b-00cf0939a6d8"
      },
      "execution_count": 100,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "STUDY_ID: projects/75551437443/locations/us-central1/studies/1715977094819\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def ParseParameter(parameters, id):\n",
        "  for parameter in parameters:\n",
        "    if parameter.parameter_id == id:\n",
        "      return parameter.value\n",
        "\n",
        "def GenerateFit(parameters):\n",
        "  model = ParseParameter(parameters, 'model')\n",
        "\n",
        "  if model == 'gaussian':\n",
        "    mu = ParseParameter(parameters, 'mu')\n",
        "    sigma = ParseParameter(parameters, 'sigma')\n",
        "    y = A * norm.pdf(x, mu, sigma)\n",
        "    print(\"[model = {}, mu = {}, sigma = {}]\".format(model, mu, sigma))\n",
        "\n",
        "  if model == 'laplace':\n",
        "    a = ParseParameter(parameters, 'a')\n",
        "    b = ParseParameter(parameters, 'b')\n",
        "    print(\"[model = {}, a = {}, b = {}]\".format(model, a, b))\n",
        "    y = A * laplace.pdf(x, a, b)\n",
        "\n",
        "  return y\n",
        "\n",
        "def SumOfSquaresOfResidualsMetric(parameters):\n",
        "  model = ParseParameter(parameters, 'model')\n",
        "\n",
        "  y = GenerateFit(parameters)\n",
        "\n",
        "  residuals = y_l_r - y\n",
        "  ssr = np.sum(residuals**2)\n",
        "\n",
        "  print(\"sum_of_squares_of_residuals => {}\".format(ssr))\n",
        "    \n",
        "  return ssr\n",
        "\n",
        "def CreateMetrics(trial_id, parameters):\n",
        "  print((\"=========== Start Trial: [{}] =============\").format(trial_id))\n",
        "\n",
        "  # Evaluate both objective metrics for this trial\n",
        "  ssr = SumOfSquaresOfResidualsMetric(parameters)\n",
        "\n",
        "  # Return the results for this trial\n",
        "  return {\n",
        "        'trial_name': trial_id,\n",
        "        'measurement': {\n",
        "            'metrics': [{'metric_id': 'sum_of_squares_of_residuals', 'value': ssr }]\n",
        "        }\n",
        "    }"
      ],
      "metadata": {
        "id": "FmpT6RAlpEez"
      },
      "execution_count": 101,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Set configuration parameters for running trials\n",
        "\n",
        "__`client_id`__: The identifier of the client that is requesting the suggestion. If multiple SuggestTrialsRequests have the same `client_id`, the service will return the identical suggested trial if the trial is `PENDING`, and provide a new trial if the last suggested trial was completed.\n",
        "\n",
        "__`suggestion_count_per_request`__: The number of suggestions (trials) requested in a single request.\n",
        "\n",
        "__`max_trial_id_to_stop`__: The number of trials to explore before stopping. It is set to 4 to shorten the time to run the code, so don't expect convergence. For convergence, it would likely need to be about 20 (a good rule of thumb is to multiply the total dimensionality by 10).\n"
      ],
      "metadata": {
        "id": "fRFOI25ycaKH"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "worker_id = \"worker1\"  # @param {type: 'string'}\n",
        "suggestion_count_per_request = 3  # @param {type: 'integer'}\n",
        "max_trial_id_to_stop = 100  # @param {type: 'integer'}\n",
        "\n",
        "print(\"worker_id: {}\".format(worker_id))\n",
        "print(\"suggestion_count_per_request: {}\".format(suggestion_count_per_request))\n",
        "print(\"max_trial_id_to_stop: {}\".format(max_trial_id_to_stop))"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "wIO-5kwxca8v",
        "outputId": "224f51ab-357e-470d-e216-d3788bbe1dee"
      },
      "execution_count": 102,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "worker_id: worker1\n",
            "suggestion_count_per_request: 3\n",
            "max_trial_id_to_stop: 100\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "vizier_client.list_trials({'parent': STUDY_ID})"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "YByVibuPx9on",
        "outputId": "38f84ef9-47d0-4b72-d5de-d894b9f6f791"
      },
      "execution_count": 103,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "ListTrialsPager<>"
            ]
          },
          "metadata": {},
          "execution_count": 103
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "### Run Vertex Vizier trials\n",
        "\n",
        "Run the trials."
      ],
      "metadata": {
        "id": "94DWKRYGcelD"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "for i in range(1, max_trial_id_to_stop):\n",
        "  suggest_response = vizier_client.suggest_trials({\n",
        "    'parent': STUDY_ID,\n",
        "    'suggestion_count': suggestion_count_per_request,\n",
        "    'client_id': worker_id\n",
        "  })\n",
        "\n",
        "  for suggested_trial in suggest_response.result().trials:\n",
        "    measurement = CreateMetrics(\n",
        "        suggested_trial.name,\n",
        "        suggested_trial.parameters,\n",
        "    )\n",
        "    vizier_client.add_trial_measurement(measurement)\n",
        "    vizier_client.complete_trial({'name': suggested_trial.name})"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "MHfN43g1cfg7",
        "outputId": "652553dc-05f6-4ed9-8221-b3a31f13d9c8"
      },
      "execution_count": 104,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/1] =============\n",
            "[model = gaussian, mu = 5.0, sigma = 2.5500000000000003]\n",
            "sum_of_squares_of_residuals => 765.6085088885794\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/2] =============\n",
            "[model = laplace, a = 8.383322238025956, b = 0.48669816174902536]\n",
            "sum_of_squares_of_residuals => 41299.43095030371\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/3] =============\n",
            "[model = laplace, a = 6.184084557526552, b = 1.5624921048172833]\n",
            "sum_of_squares_of_residuals => 3628.113460124918\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/4] =============\n",
            "[model = gaussian, mu = 2.8000554633839094, sigma = 3.627831553099717]\n",
            "sum_of_squares_of_residuals => 3495.5766602947624\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/5] =============\n",
            "[model = laplace, a = 3.784247187523835, b = 2.7382108049113887]\n",
            "sum_of_squares_of_residuals => 2067.1476137893665\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/6] =============\n",
            "[model = laplace, a = 1.1846683143168435, b = 4.0118458463061755]\n",
            "sum_of_squares_of_residuals => 6395.273761431066\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/7] =============\n",
            "[model = laplace, a = 4.005923096471862, b = 2.426725899237952]\n",
            "sum_of_squares_of_residuals => 1600.684962022372\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/8] =============\n",
            "[model = laplace, a = 2.428455677331651, b = 2.2713596247945356]\n",
            "sum_of_squares_of_residuals => 6109.819989941312\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/9] =============\n",
            "[model = gaussian, mu = 5.330839066691779, sigma = 2.3506381725367724]\n",
            "sum_of_squares_of_residuals => 740.9114865423537\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/10] =============\n",
            "[model = gaussian, mu = 5.339248838823055, sigma = 4.866156750427919]\n",
            "sum_of_squares_of_residuals => 2893.1932866566017\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/11] =============\n",
            "[model = gaussian, mu = 8.139165978585591, sigma = 3.890808376935477]\n",
            "sum_of_squares_of_residuals => 3889.8788441216743\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/12] =============\n",
            "[model = gaussian, mu = 7.937729915968567, sigma = 0.8808208048260996]\n",
            "sum_of_squares_of_residuals => 24204.541639697185\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/13] =============\n",
            "[model = gaussian, mu = 0.0, sigma = 2.4205602638272676]\n",
            "sum_of_squares_of_residuals => 12574.519973827024\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/14] =============\n",
            "[model = gaussian, mu = 10.0, sigma = 2.6330207695206833]\n",
            "sum_of_squares_of_residuals => 8287.572433860707\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/15] =============\n",
            "[model = gaussian, mu = 10.0, sigma = 2.256938269058039]\n",
            "sum_of_squares_of_residuals => 9647.818957014319\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/16] =============\n",
            "[model = gaussian, mu = 4.608671476611212, sigma = 1.12567065290835]\n",
            "sum_of_squares_of_residuals => 3543.948609766589\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/17] =============\n",
            "[model = gaussian, mu = 4.6087764023863045, sigma = 1.1256301518963407]\n",
            "sum_of_squares_of_residuals => 3544.055926098986\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/18] =============\n",
            "[model = gaussian, mu = 6.135964091128003, sigma = 3.334351508825164]\n",
            "sum_of_squares_of_residuals => 1971.477431192713\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/19] =============\n",
            "[model = gaussian, mu = 5.648110524120517, sigma = 2.6055815847087804]\n",
            "sum_of_squares_of_residuals => 1138.2631125410626\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/20] =============\n",
            "[model = gaussian, mu = 5.64793321334784, sigma = 2.605681905907684]\n",
            "sum_of_squares_of_residuals => 1138.1467987197377\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/21] =============\n",
            "[model = gaussian, mu = 4.771565887843599, sigma = 2.2943747163506854]\n",
            "sum_of_squares_of_residuals => 626.0399436922382\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/22] =============\n",
            "[model = gaussian, mu = 4.310228814526373, sigma = 2.372651924421598]\n",
            "sum_of_squares_of_residuals => 1027.9031965521124\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/23] =============\n",
            "[model = gaussian, mu = 4.956199203144071, sigma = 2.0238570746088693]\n",
            "sum_of_squares_of_residuals => 509.2178804623635\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/24] =============\n",
            "[model = gaussian, mu = 4.31036029385488, sigma = 2.3726798598970538]\n",
            "sum_of_squares_of_residuals => 1027.757045634828\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/25] =============\n",
            "[model = gaussian, mu = 5.018395271283214, sigma = 2.1213641680131388]\n",
            "sum_of_squares_of_residuals => 522.6100157023941\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/26] =============\n",
            "[model = gaussian, mu = 5.1908687727339515, sigma = 2.0630938376168158]\n",
            "sum_of_squares_of_residuals => 570.1083401059745\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/27] =============\n",
            "[model = gaussian, mu = 4.7905788655892065, sigma = 2.065542768379342]\n",
            "sum_of_squares_of_residuals => 549.2774029215445\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/28] =============\n",
            "[model = gaussian, mu = 0.0, sigma = 5.0]\n",
            "sum_of_squares_of_residuals => 6618.362526749683\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/29] =============\n",
            "[model = gaussian, mu = 0.0, sigma = 0.1]\n",
            "sum_of_squares_of_residuals => 214822.50541968475\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/30] =============\n",
            "[model = gaussian, mu = 10.0, sigma = 5.0]\n",
            "sum_of_squares_of_residuals => 4968.729364022376\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/31] =============\n",
            "[model = gaussian, mu = 4.9716776625454875, sigma = 2.1244239707163044]\n",
            "sum_of_squares_of_residuals => 520.4908602688258\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/32] =============\n",
            "[model = gaussian, mu = 5.023114208903276, sigma = 2.02016501523359]\n",
            "sum_of_squares_of_residuals => 512.7194036375611\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/33] =============\n",
            "[model = gaussian, mu = 4.972875285248516, sigma = 2.228369462021182]\n",
            "sum_of_squares_of_residuals => 555.6173234748454\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/34] =============\n",
            "[model = laplace, a = 4.642909527803047, b = 0.1]\n",
            "sum_of_squares_of_residuals => 210290.40083243276\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/35] =============\n",
            "[model = gaussian, mu = 4.969587011635286, sigma = 2.0668460072787127]\n",
            "sum_of_squares_of_residuals => 510.8579603166511\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/36] =============\n",
            "[model = gaussian, mu = 4.973633628223731, sigma = 1.9892572460067162]\n",
            "sum_of_squares_of_residuals => 511.1833098966543\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/37] =============\n",
            "[model = gaussian, mu = 4.968292315346073, sigma = 2.056046654011333]\n",
            "sum_of_squares_of_residuals => 509.94104757489197\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/38] =============\n",
            "[model = gaussian, mu = 4.968594397920688, sigma = 2.055909165113943]\n",
            "sum_of_squares_of_residuals => 509.9307765909341\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/39] =============\n",
            "[model = gaussian, mu = 4.978297667207689, sigma = 1.9831362440043416]\n",
            "sum_of_squares_of_residuals => 512.0032152576904\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/40] =============\n",
            "[model = laplace, a = 7.405721317951625, b = 4.0926368668196424]\n",
            "sum_of_squares_of_residuals => 3922.9711606651385\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/41] =============\n",
            "[model = gaussian, mu = 4.967609826111932, sigma = 2.040445222134513]\n",
            "sum_of_squares_of_residuals => 509.1453389536069\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/42] =============\n",
            "[model = gaussian, mu = 4.971728195740986, sigma = 1.9770616843113935]\n",
            "sum_of_squares_of_residuals => 512.7621329046495\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/43] =============\n",
            "[model = gaussian, mu = 4.966137105108588, sigma = 2.032482299901353]\n",
            "sum_of_squares_of_residuals => 508.9935965552254\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/44] =============\n",
            "[model = gaussian, mu = 4.959746898683896, sigma = 1.9772794906497821]\n",
            "sum_of_squares_of_residuals => 512.8583510373396\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/45] =============\n",
            "[model = gaussian, mu = 4.940148910064318, sigma = 1.9843592356959896]\n",
            "sum_of_squares_of_residuals => 512.8962519706458\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/46] =============\n",
            "[model = gaussian, mu = 2.7771286881165076, sigma = 5.0]\n",
            "sum_of_squares_of_residuals => 3965.06350664744\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/47] =============\n",
            "[model = gaussian, mu = 7.0171388866535125, sigma = 5.0]\n",
            "sum_of_squares_of_residuals => 3294.7957544286455\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/48] =============\n",
            "[model = gaussian, mu = 1.4008218983863194, sigma = 4.533295382381598]\n",
            "sum_of_squares_of_residuals => 5220.378728561857\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/49] =============\n",
            "[model = gaussian, mu = 4.966243227747339, sigma = 2.032306912076611]\n",
            "sum_of_squares_of_residuals => 508.9911486565858\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/50] =============\n",
            "[model = gaussian, mu = 4.997119790919244, sigma = 1.988876815511653]\n",
            "sum_of_squares_of_residuals => 512.1872663452585\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/51] =============\n",
            "[model = gaussian, mu = 4.916749903350571, sigma = 2.0474862088012227]\n",
            "sum_of_squares_of_residuals => 512.8114422658987\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/52] =============\n",
            "[model = gaussian, mu = 4.966019525481376, sigma = 2.030200063298317]\n",
            "sum_of_squares_of_residuals => 508.97990312978476\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/53] =============\n",
            "[model = gaussian, mu = 4.929157296619766, sigma = 1.996949473813218]\n",
            "sum_of_squares_of_residuals => 512.5023774197816\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/54] =============\n",
            "[model = gaussian, mu = 4.993907479395182, sigma = 1.985874334827412]\n",
            "sum_of_squares_of_residuals => 512.3257916659863\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/55] =============\n",
            "[model = gaussian, mu = 4.965915138556146, sigma = 2.029684993537081]\n",
            "sum_of_squares_of_residuals => 508.97942139917234\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/56] =============\n",
            "[model = gaussian, mu = 4.966119027891521, sigma = 2.029711153638534]\n",
            "sum_of_squares_of_residuals => 508.9777856934074\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/57] =============\n",
            "[model = gaussian, mu = 4.927431382603581, sigma = 2.052345548049476]\n",
            "sum_of_squares_of_residuals => 511.82802716876586\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/58] =============\n",
            "[model = gaussian, mu = 2.6331435011035937, sigma = 0.1]\n",
            "sum_of_squares_of_residuals => 208613.02508122232\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/59] =============\n",
            "[model = gaussian, mu = 10.0, sigma = 0.1]\n",
            "sum_of_squares_of_residuals => 192509.2641395328\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/60] =============\n",
            "[model = gaussian, mu = 1.827646352967391, sigma = 1.8531712230103872]\n",
            "sum_of_squares_of_residuals => 10409.408655795538\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/61] =============\n",
            "[model = gaussian, mu = 4.966196989913002, sigma = 2.029368913517258]\n",
            "sum_of_squares_of_residuals => 508.9766363141565\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/62] =============\n",
            "[model = gaussian, mu = 5.005473234362951, sigma = 2.0369644947424774]\n",
            "sum_of_squares_of_residuals => 510.6836312359005\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/63] =============\n",
            "[model = gaussian, mu = 4.933989652140206, sigma = 2.0553850011680024]\n",
            "sum_of_squares_of_residuals => 511.4031033837231\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/64] =============\n",
            "[model = gaussian, mu = 6.116983785968271, sigma = 0.1]\n",
            "sum_of_squares_of_residuals => 200116.33302728206\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/65] =============\n",
            "[model = gaussian, mu = 7.606690010463887, sigma = 2.3034767174793602]\n",
            "sum_of_squares_of_residuals => 5690.269936705259\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/66] =============\n",
            "[model = gaussian, mu = 6.116996483038988, sigma = 0.1]\n",
            "sum_of_squares_of_residuals => 200115.96784175633\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/67] =============\n",
            "[model = gaussian, mu = 4.96621977956594, sigma = 2.0264882880268926]\n",
            "sum_of_squares_of_residuals => 508.984578429425\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/68] =============\n",
            "[model = gaussian, mu = 4.965971891881537, sigma = 2.0266319761920117]\n",
            "sum_of_squares_of_residuals => 508.98566303977634\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/69] =============\n",
            "[model = gaussian, mu = 4.966150153275951, sigma = 2.026657005784502]\n",
            "sum_of_squares_of_residuals => 508.984033548334\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/70] =============\n",
            "[model = gaussian, mu = 4.129683545132706, sigma = 5.0]\n",
            "sum_of_squares_of_residuals => 3230.531144313134\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/71] =============\n",
            "[model = gaussian, mu = 3.1376667848718953, sigma = 1.5570704146430323]\n",
            "sum_of_squares_of_residuals => 6623.244080865335\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/72] =============\n",
            "[model = gaussian, mu = 3.9522951556997192, sigma = 5.0]\n",
            "sum_of_squares_of_residuals => 3299.1352899602816\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/73] =============\n",
            "[model = gaussian, mu = 4.965919596434661, sigma = 2.0279609090871675]\n",
            "sum_of_squares_of_residuals => 508.98006991354515\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/74] =============\n",
            "[model = gaussian, mu = 4.962021592627876, sigma = 1.9737925280663042]\n",
            "sum_of_squares_of_residuals => 513.3420599516685\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/75] =============\n",
            "[model = gaussian, mu = 4.966041857687618, sigma = 2.027781840726259]\n",
            "sum_of_squares_of_residuals => 508.97957391449694\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/76] =============\n",
            "[model = gaussian, mu = 4.970717627359661, sigma = 2.0314231111633245]\n",
            "sum_of_squares_of_residuals => 508.97500715185544\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/77] =============\n",
            "[model = gaussian, mu = 5.005567087086998, sigma = 2.03237960380873]\n",
            "sum_of_squares_of_residuals => 510.6252038653857\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/78] =============\n",
            "[model = gaussian, mu = 5.005610758474171, sigma = 2.031279882750731]\n",
            "sum_of_squares_of_residuals => 510.6214998362211\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/79] =============\n",
            "[model = gaussian, mu = 4.267864983926126, sigma = 3.782324322606641]\n",
            "sum_of_squares_of_residuals => 2177.9610195576042\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/80] =============\n",
            "[model = gaussian, mu = 4.26777570358888, sigma = 3.7823572068084697]\n",
            "sum_of_squares_of_residuals => 2178.0360252391206\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/81] =============\n",
            "[model = gaussian, mu = 4.267850940676207, sigma = 3.7823146688312534]\n",
            "sum_of_squares_of_residuals => 2177.959419059506\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/82] =============\n",
            "[model = gaussian, mu = 8.635533441734392, sigma = 5.0]\n",
            "sum_of_squares_of_residuals => 4092.5013408901564\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/83] =============\n",
            "[model = gaussian, mu = 0.7767299308386262, sigma = 3.176060474451039]\n",
            "sum_of_squares_of_residuals => 7845.125375558138\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/84] =============\n",
            "[model = gaussian, mu = 6.634965463593208, sigma = 1.3654294734971977]\n",
            "sum_of_squares_of_residuals => 7403.346673100136\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/85] =============\n",
            "[model = gaussian, mu = 4.965958133655068, sigma = 2.028911707403846]\n",
            "sum_of_squares_of_residuals => 508.9783669947038\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/86] =============\n",
            "[model = gaussian, mu = 4.970692847173852, sigma = 1.9761504031561377]\n",
            "sum_of_squares_of_residuals => 512.8954433311908\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/87] =============\n",
            "[model = gaussian, mu = 4.936925455431548, sigma = 1.986593773957787]\n",
            "sum_of_squares_of_residuals => 512.878208327474\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/88] =============\n",
            "[model = gaussian, mu = 4.970679390574958, sigma = 2.031712865084275]\n",
            "sum_of_squares_of_residuals => 508.9769406646491\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/89] =============\n",
            "[model = gaussian, mu = 4.970677108528159, sigma = 2.0315388833464927]\n",
            "sum_of_squares_of_residuals => 508.9756645159398\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/90] =============\n",
            "[model = gaussian, mu = 4.970669813780028, sigma = 2.031578789369245]\n",
            "sum_of_squares_of_residuals => 508.9759231750264\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/91] =============\n",
            "[model = gaussian, mu = 3.3646346659765944, sigma = 2.760555784943576]\n",
            "sum_of_squares_of_residuals => 2590.0687681161253\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/92] =============\n",
            "[model = gaussian, mu = 4.970123400698469, sigma = 2.0309906313331196]\n",
            "sum_of_squares_of_residuals => 508.9706855826097\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/93] =============\n",
            "[model = gaussian, mu = 4.9700704947986, sigma = 2.030821575264529]\n",
            "sum_of_squares_of_residuals => 508.96967851295534\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/94] =============\n",
            "[model = gaussian, mu = 10.0, sigma = 3.865705838726979]\n",
            "sum_of_squares_of_residuals => 5736.16078338563\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/95] =============\n",
            "[model = gaussian, mu = 10.0, sigma = 3.8653937553053717]\n",
            "sum_of_squares_of_residuals => 5736.525752639056\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/96] =============\n",
            "[model = gaussian, mu = 10.0, sigma = 3.865607655396104]\n",
            "sum_of_squares_of_residuals => 5736.275593191307\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/97] =============\n",
            "[model = gaussian, mu = 4.9709310493680725, sigma = 2.0312316998924436]\n",
            "sum_of_squares_of_residuals => 508.9745775228781\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/98] =============\n",
            "[model = gaussian, mu = 5.004543424838051, sigma = 2.0297854378950646]\n",
            "sum_of_squares_of_residuals => 510.52062038504187\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/99] =============\n",
            "[model = gaussian, mu = 5.00463640085024, sigma = 2.028909312464845]\n",
            "sum_of_squares_of_residuals => 510.5285439085483\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/100] =============\n",
            "[model = gaussian, mu = 5.30241591192852, sigma = 3.7414748316065314]\n",
            "sum_of_squares_of_residuals => 1931.6319271503053\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/101] =============\n",
            "[model = gaussian, mu = 5.296563686247936, sigma = 3.737708070681274]\n",
            "sum_of_squares_of_residuals => 1927.5067810601358\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/102] =============\n",
            "[model = gaussian, mu = 8.58504197275141, sigma = 2.495695126957665]\n",
            "sum_of_squares_of_residuals => 7150.30844382849\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/103] =============\n",
            "[model = gaussian, mu = 4.970718261040684, sigma = 2.031501186396812]\n",
            "sum_of_squares_of_residuals => 508.97554415290597\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/104] =============\n",
            "[model = gaussian, mu = 4.946329877497548, sigma = 2.0548047766367477]\n",
            "sum_of_squares_of_residuals => 510.4894959217804\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/105] =============\n",
            "[model = gaussian, mu = 5.001797420470654, sigma = 2.0401501485462723]\n",
            "sum_of_squares_of_residuals => 510.4492126174943\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/106] =============\n",
            "[model = gaussian, mu = 6.95557793686064, sigma = 4.006282427060613]\n",
            "sum_of_squares_of_residuals => 2857.2714352355415\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/107] =============\n",
            "[model = gaussian, mu = 7.242542381540654, sigma = 3.2971267038160605]\n",
            "sum_of_squares_of_residuals => 3162.5983083507163\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/108] =============\n",
            "[model = gaussian, mu = 0.5864993268024511, sigma = 1.2390316696724684]\n",
            "sum_of_squares_of_residuals => 21463.07709665369\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/109] =============\n",
            "[model = gaussian, mu = 4.970745570039635, sigma = 2.0314903766923917]\n",
            "sum_of_squares_of_residuals => 508.9755668210893\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/110] =============\n",
            "[model = gaussian, mu = 4.947493176222651, sigma = 2.0544428213175827]\n",
            "sum_of_squares_of_residuals => 510.4020982538058\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/111] =============\n",
            "[model = gaussian, mu = 4.970761220409693, sigma = 2.031386986617415]\n",
            "sum_of_squares_of_residuals => 508.97492196382933\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/112] =============\n",
            "[model = gaussian, mu = 4.243021504070102, sigma = 0.1]\n",
            "sum_of_squares_of_residuals => 195473.78763873354\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/113] =============\n",
            "[model = gaussian, mu = 4.243534764283791, sigma = 0.1]\n",
            "sum_of_squares_of_residuals => 195447.93094212722\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/114] =============\n",
            "[model = gaussian, mu = 9.3889957840038, sigma = 1.1402194018123692]\n",
            "sum_of_squares_of_residuals => 19833.38923168111\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/115] =============\n",
            "[model = gaussian, mu = 4.970759954880934, sigma = 2.031390403747565]\n",
            "sum_of_squares_of_residuals => 508.97494007900787\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/116] =============\n",
            "[model = gaussian, mu = 5.00338861815536, sigma = 2.0246883144954904]\n",
            "sum_of_squares_of_residuals => 510.4473815891124\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/117] =============\n",
            "[model = gaussian, mu = 4.97102262058012, sigma = 2.0310900295349783]\n",
            "sum_of_squares_of_residuals => 508.9741048458629\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/118] =============\n",
            "[model = gaussian, mu = 4.213167357723005, sigma = 3.0838788544779194]\n",
            "sum_of_squares_of_residuals => 1587.0463818433973\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/119] =============\n",
            "[model = gaussian, mu = 5.085199935191767, sigma = 3.2093975259911827]\n",
            "sum_of_squares_of_residuals => 1395.8876147220863\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/120] =============\n",
            "[model = gaussian, mu = 6.173389350978473, sigma = 5.0]\n",
            "sum_of_squares_of_residuals => 3061.521784441784\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/121] =============\n",
            "[model = gaussian, mu = 4.970631906100894, sigma = 2.0317632618043895]\n",
            "sum_of_squares_of_residuals => 508.97716226296933\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/122] =============\n",
            "[model = gaussian, mu = 4.948127684124189, sigma = 2.0558365834558554]\n",
            "sum_of_squares_of_residuals => 510.4638784110509\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/123] =============\n",
            "[model = laplace, a = 10.0, b = 2.7307807931822077]\n",
            "sum_of_squares_of_residuals => 7731.193385217952\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/124] =============\n",
            "[model = gaussian, mu = 4.970775518782454, sigma = 2.0316768392017863]\n",
            "sum_of_squares_of_residuals => 508.9770144409642\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/125] =============\n",
            "[model = gaussian, mu = 4.998235229332436, sigma = 2.044634127348555]\n",
            "sum_of_squares_of_residuals => 510.3361120720172\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/126] =============\n",
            "[model = laplace, a = 4.225984109198261, b = 5.0]\n",
            "sum_of_squares_of_residuals => 2755.253607867547\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/127] =============\n",
            "[model = gaussian, mu = 4.970056476487759, sigma = 2.0307372289649783]\n",
            "sum_of_squares_of_residuals => 508.96923063451015\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/128] =============\n",
            "[model = gaussian, mu = 4.945871803465104, sigma = 2.019385460586945]\n",
            "sum_of_squares_of_residuals => 509.7899986665794\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/129] =============\n",
            "[model = gaussian, mu = 4.9453809521202805, sigma = 2.020508116744979]\n",
            "sum_of_squares_of_residuals => 509.79053252199446\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/130] =============\n",
            "[model = gaussian, mu = 0.0, sigma = 3.9745454472866526]\n",
            "sum_of_squares_of_residuals => 7708.288138344669\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/131] =============\n",
            "[model = gaussian, mu = 8.101131050358221, sigma = 0.1]\n",
            "sum_of_squares_of_residuals => 212897.54955924125\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/132] =============\n",
            "[model = gaussian, mu = 2.1083140216214105, sigma = 0.8553666912068745]\n",
            "sum_of_squares_of_residuals => 24298.824175536487\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/133] =============\n",
            "[model = gaussian, mu = 4.969945051400562, sigma = 2.0309918234411395]\n",
            "sum_of_squares_of_residuals => 508.9703673986904\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/134] =============\n",
            "[model = gaussian, mu = 4.98999452516774, sigma = 2.0452104302180545]\n",
            "sum_of_squares_of_residuals => 509.85309352540617\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/135] =============\n",
            "[model = gaussian, mu = 4.946772618329304, sigma = 2.0223323268291242]\n",
            "sum_of_squares_of_residuals => 509.6689096829033\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/136] =============\n",
            "[model = gaussian, mu = 3.185732455680232, sigma = 4.317710006791949]\n",
            "sum_of_squares_of_residuals => 3321.8753626754306\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/137] =============\n",
            "[model = gaussian, mu = 8.16906793025364, sigma = 1.658313295075592]\n",
            "sum_of_squares_of_residuals => 11799.781480312664\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/138] =============\n",
            "[model = gaussian, mu = 1.7924562420610934, sigma = 2.6236771174474893]\n",
            "sum_of_squares_of_residuals => 6772.7890645689495\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/139] =============\n",
            "[model = gaussian, mu = 4.969998082701391, sigma = 2.0308111836630456]\n",
            "sum_of_squares_of_residuals => 508.9694939141948\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/140] =============\n",
            "[model = gaussian, mu = 4.988826456859853, sigma = 2.0456719481116092]\n",
            "sum_of_squares_of_residuals => 509.814988711703\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/141] =============\n",
            "[model = gaussian, mu = 4.9700502661386645, sigma = 2.030794087958212]\n",
            "sum_of_squares_of_residuals => 508.9695009876453\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/142] =============\n",
            "[model = gaussian, mu = 8.858025281553578, sigma = 3.2658712858185255]\n",
            "sum_of_squares_of_residuals => 5391.155185345417\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/143] =============\n",
            "[model = gaussian, mu = 10.0, sigma = 4.4553943907579]\n",
            "sum_of_squares_of_residuals => 5216.72331739375\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/144] =============\n",
            "[model = gaussian, mu = 9.986017933001015, sigma = 0.4809664085691512]\n",
            "sum_of_squares_of_residuals => 32962.78509029746\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/145] =============\n",
            "[model = gaussian, mu = 4.9699120655829745, sigma = 2.030582443074937]\n",
            "sum_of_squares_of_residuals => 508.968263527458\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/146] =============\n",
            "[model = gaussian, mu = 4.948589901019206, sigma = 2.020414081172772]\n",
            "sum_of_squares_of_residuals => 509.61088802802385\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/147] =============\n",
            "[model = gaussian, mu = 4.969957467022948, sigma = 2.0307705839654653]\n",
            "sum_of_squares_of_residuals => 508.9692218196387\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/148] =============\n",
            "[model = gaussian, mu = 1.6079259922523605, sigma = 3.8451994040671353]\n",
            "sum_of_squares_of_residuals => 5243.035706230499\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/149] =============\n",
            "[model = gaussian, mu = 5.902785447892233, sigma = 0.7581687798255476]\n",
            "sum_of_squares_of_residuals => 13357.994603066498\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/150] =============\n",
            "[model = gaussian, mu = 0.0, sigma = 1.7776900062436558]\n",
            "sum_of_squares_of_residuals => 16857.966799580096\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/151] =============\n",
            "[model = gaussian, mu = 4.969974750042834, sigma = 2.0307551489679407]\n",
            "sum_of_squares_of_residuals => 508.9691738804146\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/152] =============\n",
            "[model = gaussian, mu = 4.961534646397238, sigma = 2.05191769772569]\n",
            "sum_of_squares_of_residuals => 509.7387434029255\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/153] =============\n",
            "[model = gaussian, mu = 4.985212738986685, sigma = 2.0481401846168517]\n",
            "sum_of_squares_of_residuals => 509.77370822671895\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/154] =============\n",
            "[model = gaussian, mu = 7.808243963317109, sigma = 4.5203926971768436]\n",
            "sum_of_squares_of_residuals => 3539.2575039350936\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/155] =============\n",
            "[model = gaussian, mu = 4.666713513818728, sigma = 4.361877448639198]\n",
            "sum_of_squares_of_residuals => 2555.2386044092013\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/156] =============\n",
            "[model = gaussian, mu = 2.8943672641374993, sigma = 2.210901947551858]\n",
            "sum_of_squares_of_residuals => 4513.765715112387\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/157] =============\n",
            "[model = gaussian, mu = 4.969861166670076, sigma = 2.0307223295572068]\n",
            "sum_of_squares_of_residuals => 508.96884037384996\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/158] =============\n",
            "[model = gaussian, mu = 4.949207837394058, sigma = 2.021358810744498]\n",
            "sum_of_squares_of_residuals => 509.5571495864829\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/159] =============\n",
            "[model = laplace, a = 5.57461021933635, b = 3.0001189041809946]\n",
            "sum_of_squares_of_residuals => 1110.9424579189908\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/160] =============\n",
            "[model = gaussian, mu = 4.9695900947959055, sigma = 2.0308239006026048]\n",
            "sum_of_squares_of_residuals => 508.969062374942\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/161] =============\n",
            "[model = gaussian, mu = 4.954492929501052, sigma = 2.0202125140341995]\n",
            "sum_of_squares_of_residuals => 509.34911288675227\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/162] =============\n",
            "[model = gaussian, mu = 4.976635008692607, sigma = 2.0478592669420226]\n",
            "sum_of_squares_of_residuals => 509.51115512070095\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/163] =============\n",
            "[model = gaussian, mu = 6.146241838630956, sigma = 4.527393285031688]\n",
            "sum_of_squares_of_residuals => 2739.4336752891872\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/164] =============\n",
            "[model = gaussian, mu = 3.133907155696136, sigma = 0.9038406852973602]\n",
            "sum_of_squares_of_residuals => 16620.152375338126\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/165] =============\n",
            "[model = gaussian, mu = 10.0, sigma = 1.478193799685877]\n",
            "sum_of_squares_of_residuals => 13711.36466930767\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/166] =============\n",
            "[model = gaussian, mu = 4.969666299890139, sigma = 2.030882034760189]\n",
            "sum_of_squares_of_residuals => 508.9694249465457\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/167] =============\n",
            "[model = gaussian, mu = 4.954961722755103, sigma = 2.0194581655865558]\n",
            "sum_of_squares_of_residuals => 509.350946244484\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/168] =============\n",
            "[model = gaussian, mu = 4.972878462248903, sigma = 2.048717902112288]\n",
            "sum_of_squares_of_residuals => 509.5035946475241\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/169] =============\n",
            "[model = gaussian, mu = 5.8755861825932865, sigma = 1.9527339388330862]\n",
            "sum_of_squares_of_residuals => 1586.8843451252421\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/170] =============\n",
            "[model = gaussian, mu = 0.0, sigma = 0.719822236822915]\n",
            "sum_of_squares_of_residuals => 35444.21890422526\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/171] =============\n",
            "[model = gaussian, mu = 1.248984903234395, sigma = 0.1]\n",
            "sum_of_squares_of_residuals => 213239.3106494961\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/172] =============\n",
            "[model = gaussian, mu = 4.96949091046009, sigma = 2.0309665361635494]\n",
            "sum_of_squares_of_residuals => 508.9697602740979\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/173] =============\n",
            "[model = gaussian, mu = 4.979587399726208, sigma = 2.0178401554971654]\n",
            "sum_of_squares_of_residuals => 509.26359139710536\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/174] =============\n",
            "[model = gaussian, mu = 4.976236723055108, sigma = 2.0157417730573135]\n",
            "sum_of_squares_of_residuals => 509.26126255235476\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/175] =============\n",
            "[model = gaussian, mu = 6.670669058808766, sigma = 1.996810603433398]\n",
            "sum_of_squares_of_residuals => 3819.204470109619\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/176] =============\n",
            "[model = gaussian, mu = 6.584443401284906, sigma = 2.483873177969556]\n",
            "sum_of_squares_of_residuals => 2641.4043103926183\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/177] =============\n",
            "[model = gaussian, mu = 6.097801194287843, sigma = 2.312786513545876]\n",
            "sum_of_squares_of_residuals => 1760.3277771483454\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/178] =============\n",
            "[model = gaussian, mu = 4.969561626680216, sigma = 2.030962209125109]\n",
            "sum_of_squares_of_residuals => 508.969775339105\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/179] =============\n",
            "[model = gaussian, mu = 4.969426903578134, sigma = 2.0310100284699177]\n",
            "sum_of_squares_of_residuals => 508.9699772075979\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/180] =============\n",
            "[model = gaussian, mu = 4.971963356559466, sigma = 2.047338946862758]\n",
            "sum_of_squares_of_residuals => 509.4263581898766\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/181] =============\n",
            "[model = gaussian, mu = 4.967943099351052, sigma = 1.5423585809839477]\n",
            "sum_of_squares_of_residuals => 987.4480154368786\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/182] =============\n",
            "[model = gaussian, mu = 5.114772576217885, sigma = 1.2519683215181412]\n",
            "sum_of_squares_of_residuals => 2184.4800986866694\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/183] =============\n",
            "[model = gaussian, mu = 4.968153232636772, sigma = 1.5424573358418798]\n",
            "sum_of_squares_of_residuals => 987.2033519550804\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/184] =============\n",
            "[model = laplace, a = 4.839216627548807, b = 3.251608401530845]\n",
            "sum_of_squares_of_residuals => 1030.0768196281547\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/185] =============\n",
            "[model = gaussian, mu = 4.969574512105526, sigma = 2.030781593536418]\n",
            "sum_of_squares_of_residuals => 508.9688380620074\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/186] =============\n",
            "[model = gaussian, mu = 4.9769521554104, sigma = 2.0164121368307444]\n",
            "sum_of_squares_of_residuals => 509.2506307793393\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/187] =============\n",
            "[model = gaussian, mu = 4.969785478658071, sigma = 2.03078205357157]\n",
            "sum_of_squares_of_residuals => 508.969036560571\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/188] =============\n",
            "[model = gaussian, mu = 4.971268340657479, sigma = 2.016996002227231]\n",
            "sum_of_squares_of_residuals => 509.1634840054029\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/189] =============\n",
            "[model = gaussian, mu = 4.970905520317417, sigma = 2.0169904148749134]\n",
            "sum_of_squares_of_residuals => 509.16213799142264\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/190] =============\n",
            "[model = gaussian, mu = 2.2858656154684733, sigma = 3.1612608944217344]\n",
            "sum_of_squares_of_residuals => 4547.518345510951\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/191] =============\n",
            "[model = gaussian, mu = 2.285602875884043, sigma = 3.1612640413432094]\n",
            "sum_of_squares_of_residuals => 4548.058622301725\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/192] =============\n",
            "[model = gaussian, mu = 2.4087570824617117, sigma = 3.075678536983678]\n",
            "sum_of_squares_of_residuals => 4369.830824923669\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/193] =============\n",
            "[model = laplace, a = 5.109944159391251, b = 2.722199785196441]\n",
            "sum_of_squares_of_residuals => 560.8431061126781\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/194] =============\n",
            "[model = gaussian, mu = 4.969607705794409, sigma = 2.0307402203266176]\n",
            "sum_of_squares_of_residuals => 508.96865728197645\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/195] =============\n",
            "[model = gaussian, mu = 4.973576090275302, sigma = 2.0173808101676443]\n",
            "sum_of_squares_of_residuals => 509.1686409810873\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/196] =============\n",
            "[model = gaussian, mu = 8.858260965113573, sigma = 4.533708585100237]\n",
            "sum_of_squares_of_residuals => 4285.892369753689\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/197] =============\n",
            "[model = laplace, a = 5.163624645784446, b = 2.6302069642972374]\n",
            "sum_of_squares_of_residuals => 511.4174188543266\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/198] =============\n",
            "[model = laplace, a = 5.615521615056735, b = 2.5541365623397243]\n",
            "sum_of_squares_of_residuals => 917.701049847595\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/199] =============\n",
            "[model = laplace, a = 5.510601632365336, b = 2.8941920050820724]\n",
            "sum_of_squares_of_residuals => 973.2329261841097\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/200] =============\n",
            "[model = laplace, a = 4.863235112874608, b = 3.8944640408002282]\n",
            "sum_of_squares_of_residuals => 1588.3961536823128\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/201] =============\n",
            "[model = laplace, a = 6.960004434594561, b = 3.1335255787497873]\n",
            "sum_of_squares_of_residuals => 3436.8346712608404\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/202] =============\n",
            "[model = laplace, a = 5.1336331935695165, b = 2.7283367299429373]\n",
            "sum_of_squares_of_residuals => 573.6318547708897\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/203] =============\n",
            "[model = gaussian, mu = 4.969534752460015, sigma = 2.030812318862627]\n",
            "sum_of_squares_of_residuals => 508.9689682068343\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/204] =============\n",
            "[model = gaussian, mu = 4.974973043357716, sigma = 2.045771409703708]\n",
            "sum_of_squares_of_residuals => 509.38469207052174\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/205] =============\n",
            "[model = gaussian, mu = 5.065803348625386, sigma = 0.1]\n",
            "sum_of_squares_of_residuals => 183824.28933089663\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/206] =============\n",
            "[model = laplace, a = 5.154281438140861, b = 2.7787156437920695]\n",
            "sum_of_squares_of_residuals => 620.7485868604829\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/207] =============\n",
            "[model = laplace, a = 4.267589776142647, b = 3.4888646561159304]\n",
            "sum_of_squares_of_residuals => 1665.2346386052948\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/208] =============\n",
            "[model = gaussian, mu = 4.969508614704637, sigma = 2.0307497565057453]\n",
            "sum_of_squares_of_residuals => 508.9686421008644\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/209] =============\n",
            "[model = gaussian, mu = 4.9695848532984765, sigma = 2.030755725037693]\n",
            "sum_of_squares_of_residuals => 508.96871683838975\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/210] =============\n",
            "[model = gaussian, mu = 4.969580328518688, sigma = 2.030677988508538]\n",
            "sum_of_squares_of_residuals => 508.9683392385549\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/211] =============\n",
            "[model = gaussian, mu = 5.902942467200174, sigma = 1.5327244332666619]\n",
            "sum_of_squares_of_residuals => 2732.527088811244\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/212] =============\n",
            "[model = gaussian, mu = 2.2710500046443527, sigma = 4.34086802644755]\n",
            "sum_of_squares_of_residuals => 4226.767879800716\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/213] =============\n",
            "[model = laplace, a = 5.20151328156501, b = 2.719404071157401]\n",
            "sum_of_squares_of_residuals => 597.3154117203297\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/214] =============\n",
            "[model = gaussian, mu = 4.969590733072139, sigma = 2.0304937730668096]\n",
            "sum_of_squares_of_residuals => 508.9675240852032\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/215] =============\n",
            "[model = gaussian, mu = 4.972560175338012, sigma = 2.017588046818337]\n",
            "sum_of_squares_of_residuals => 509.1527394289075\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/216] =============\n",
            "[model = gaussian, mu = 4.969583520638261, sigma = 2.0307458598110664]\n",
            "sum_of_squares_of_residuals => 508.96866748896764\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/217] =============\n",
            "[model = laplace, a = 5.183753277274335, b = 2.704264568154864]\n",
            "sum_of_squares_of_residuals => 576.3759227020914\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/218] =============\n",
            "[model = gaussian, mu = 0.8414418290555652, sigma = 5.0]\n",
            "sum_of_squares_of_residuals => 5711.192727868983\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/219] =============\n",
            "[model = gaussian, mu = 7.065232252561922, sigma = 0.4634767494786326]\n",
            "sum_of_squares_of_residuals => 41832.642209729675\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/220] =============\n",
            "[model = gaussian, mu = 4.9695675641564625, sigma = 2.029752316649211]\n",
            "sum_of_squares_of_residuals => 508.96512638967596\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/221] =============\n",
            "[model = gaussian, mu = 4.969774162822501, sigma = 2.0182395692018966]\n",
            "sum_of_squares_of_residuals => 509.1206922383777\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/222] =============\n",
            "[model = gaussian, mu = 4.224523183773088, sigma = 2.6917966978953407]\n",
            "sum_of_squares_of_residuals => 1280.4029593929279\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/223] =============\n",
            "[model = gaussian, mu = 3.4231326851228383, sigma = 3.375416388575348]\n",
            "sum_of_squares_of_residuals => 2601.929134442504\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/224] =============\n",
            "[model = gaussian, mu = 3.559438685873425, sigma = 3.384086830565069]\n",
            "sum_of_squares_of_residuals => 2443.431658764025\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/225] =============\n",
            "[model = gaussian, mu = 7.980079257839109, sigma = 2.95961883369704]\n",
            "sum_of_squares_of_residuals => 4673.268266763302\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/226] =============\n",
            "[model = gaussian, mu = 4.969574015503211, sigma = 2.030711611221281]\n",
            "sum_of_squares_of_residuals => 508.9684949783085\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/227] =============\n",
            "[model = gaussian, mu = 4.974856154219809, sigma = 2.0186152089514624]\n",
            "sum_of_squares_of_residuals => 509.1472537056686\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/228] =============\n",
            "[model = laplace, a = 5.132216822426074, b = 2.620220072771489]\n",
            "sum_of_squares_of_residuals => 491.2128564356061\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/229] =============\n",
            "[model = laplace, a = 5.183558054265109, b = 2.6120095292914463]\n",
            "sum_of_squares_of_residuals => 508.6113326650682\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/230] =============\n",
            "[model = laplace, a = 4.880257437153605, b = 2.013661702020358]\n",
            "sum_of_squares_of_residuals => 194.43888386806395\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/231] =============\n",
            "[model = laplace, a = 6.347096777134825, b = 2.388073233663647]\n",
            "sum_of_squares_of_residuals => 2496.7958722164594\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/232] =============\n",
            "[model = laplace, a = 4.741722087090655, b = 1.8127793515375514]\n",
            "sum_of_squares_of_residuals => 366.3179883841038\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/233] =============\n",
            "[model = laplace, a = 4.7410670785848374, b = 1.8128290906251723]\n",
            "sum_of_squares_of_residuals => 367.02990467054246\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/234] =============\n",
            "[model = laplace, a = 4.433487516168299, b = 1.975325337091288]\n",
            "sum_of_squares_of_residuals => 796.8988875130294\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/235] =============\n",
            "[model = laplace, a = 5.203126978146228, b = 2.0461171484815144]\n",
            "sum_of_squares_of_residuals => 266.9786511369959\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/236] =============\n",
            "[model = laplace, a = 5.366536724424059, b = 1.8392979295067937]\n",
            "sum_of_squares_of_residuals => 522.1146380266782\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/237] =============\n",
            "[model = laplace, a = 5.203045185494158, b = 2.046052692162081]\n",
            "sum_of_squares_of_residuals => 266.90867152546724\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/238] =============\n",
            "[model = laplace, a = 4.905696765694765, b = 2.2272478532464586]\n",
            "sum_of_squares_of_residuals => 235.05210916186329\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/239] =============\n",
            "[model = laplace, a = 5.07613355619975, b = 2.225886637764693]\n",
            "sum_of_squares_of_residuals => 234.177997848636\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/240] =============\n",
            "[model = laplace, a = 4.789066775726271, b = 2.1423251113699675]\n",
            "sum_of_squares_of_residuals => 274.86952876831276\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/241] =============\n",
            "[model = laplace, a = 0.0, b = 0.1]\n",
            "sum_of_squares_of_residuals => 146893.56646636268\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/242] =============\n",
            "[model = laplace, a = 10.0, b = 5.0]\n",
            "sum_of_squares_of_residuals => 5841.393089434133\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/243] =============\n",
            "[model = laplace, a = 0.0, b = 1.733290154750544]\n",
            "sum_of_squares_of_residuals => 15207.476207397754\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/244] =============\n",
            "[model = laplace, a = 10.0, b = 1.4666361839684834]\n",
            "sum_of_squares_of_residuals => 12465.911855032713\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/245] =============\n",
            "[model = laplace, a = 0.0, b = 5.0]\n",
            "sum_of_squares_of_residuals => 7232.974376421924\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/246] =============\n",
            "[model = laplace, a = 2.316206229333899, b = 0.8214525152921712]\n",
            "sum_of_squares_of_residuals => 20955.700549813253\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/247] =============\n",
            "[model = laplace, a = 4.982307751272412, b = 2.0468036904571725]\n",
            "sum_of_squares_of_residuals => 168.980986562672\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/248] =============\n",
            "[model = laplace, a = 4.975551440324155, b = 1.9871442297721431]\n",
            "sum_of_squares_of_residuals => 165.27686569957547\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/249] =============\n",
            "[model = laplace, a = 4.982331721485539, b = 2.0467909920982708]\n",
            "sum_of_squares_of_residuals => 168.9779916342545\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/250] =============\n",
            "[model = laplace, a = 7.796043344231281, b = 1.7720986622951764]\n",
            "sum_of_squares_of_residuals => 8799.54019740141\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/251] =============\n",
            "[model = laplace, a = 7.795325831092283, b = 1.7666035433447864]\n",
            "sum_of_squares_of_residuals => 8830.404835310996\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/252] =============\n",
            "[model = laplace, a = 2.2096356983092376, b = 5.0]\n",
            "sum_of_squares_of_residuals => 4775.6454163675235\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/253] =============\n",
            "[model = laplace, a = 6.319356977070409, b = 5.0]\n",
            "sum_of_squares_of_residuals => 3039.6293301466108\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/254] =============\n",
            "[model = laplace, a = 6.3320804309460055, b = 5.0]\n",
            "sum_of_squares_of_residuals => 3049.6725471696745\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/255] =============\n",
            "[model = laplace, a = 0.0, b = 3.007767708497966]\n",
            "sum_of_squares_of_residuals => 9684.083705662368\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/256] =============\n",
            "[model = laplace, a = 4.992226927517592, b = 2.0051709621884686]\n",
            "sum_of_squares_of_residuals => 164.96895160977496\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/257] =============\n",
            "[model = laplace, a = 4.992204820632708, b = 2.0049898761259124]\n",
            "sum_of_squares_of_residuals => 164.9611495848032\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/258] =============\n",
            "[model = laplace, a = 4.992199865481789, b = 2.0051376396099565]\n",
            "sum_of_squares_of_residuals => 164.96768562622174\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/259] =============\n",
            "[model = laplace, a = 4.990620912699693, b = 2.0071983603197805]\n",
            "sum_of_squares_of_residuals => 165.08152336243535\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/260] =============\n",
            "[model = laplace, a = 4.993407320480859, b = 1.9888258751370156]\n",
            "sum_of_squares_of_residuals => 164.53897705057335\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/261] =============\n",
            "[model = laplace, a = 4.99344037646979, b = 1.9888426537664232]\n",
            "sum_of_squares_of_residuals => 164.53911563513148\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/262] =============\n",
            "[model = laplace, a = 10.0, b = 3.951319972374778]\n",
            "sum_of_squares_of_residuals => 6278.392050902532\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/263] =============\n",
            "[model = laplace, a = 6.614194356972506, b = 0.1]\n",
            "sum_of_squares_of_residuals => 173343.59996499706\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/264] =============\n",
            "[model = laplace, a = 10.0, b = 0.1]\n",
            "sum_of_squares_of_residuals => 274860.0454765491\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/265] =============\n",
            "[model = laplace, a = 3.105635292919571, b = 4.146981399474831]\n",
            "sum_of_squares_of_residuals => 3503.514270367199\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/266] =============\n",
            "[model = laplace, a = 2.124614345498027, b = 0.1]\n",
            "sum_of_squares_of_residuals => 156804.4388929806\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/267] =============\n",
            "[model = laplace, a = 1.8049206387799908, b = 3.306047128294001]\n",
            "sum_of_squares_of_residuals => 5938.589735404641\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/268] =============\n",
            "[model = laplace, a = 5.617293582190575, b = 0.9496206324350898]\n",
            "sum_of_squares_of_residuals => 5566.305040528684\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/269] =============\n",
            "[model = laplace, a = 8.324324452839983, b = 5.0]\n",
            "sum_of_squares_of_residuals => 4801.990117222254\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/270] =============\n",
            "[model = laplace, a = 0.0, b = 0.9171050065180386]\n",
            "sum_of_squares_of_residuals => 25994.30462968321\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/271] =============\n",
            "[model = laplace, a = 8.375199916948894, b = 2.8875436628756943]\n",
            "sum_of_squares_of_residuals => 6245.924507412446\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/272] =============\n",
            "[model = laplace, a = 0.0, b = 3.9659591499877407]\n",
            "sum_of_squares_of_residuals => 8076.110234221771\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/273] =============\n",
            "[model = laplace, a = 1.3803953089991228, b = 1.5795349088233814]\n",
            "sum_of_squares_of_residuals => 12933.187763982018\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/274] =============\n",
            "[model = laplace, a = 4.994239091641649, b = 1.9827691835931918]\n",
            "sum_of_squares_of_residuals => 164.53714774167835\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/275] =============\n",
            "[model = laplace, a = 4.997054442046059, b = 1.9861642055008821]\n",
            "sum_of_squares_of_residuals => 164.5605840877044\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/276] =============\n",
            "[model = laplace, a = 4.991686235724924, b = 1.9819120571689384]\n",
            "sum_of_squares_of_residuals => 164.5456578345935\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/277] =============\n",
            "[model = laplace, a = 4.993071658606176, b = 1.985693834084266]\n",
            "sum_of_squares_of_residuals => 164.52625538990708\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/278] =============\n",
            "[model = laplace, a = 4.99316421279635, b = 1.985435924807672]\n",
            "sum_of_squares_of_residuals => 164.52612979984565\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/279] =============\n",
            "[model = laplace, a = 4.991864203969215, b = 1.98609786727169]\n",
            "sum_of_squares_of_residuals => 164.5312904218037\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/280] =============\n",
            "[model = laplace, a = 6.031966263852534, b = 4.198329505890034]\n",
            "sum_of_squares_of_residuals => 2357.9532471950038\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/281] =============\n",
            "[model = laplace, a = 3.8951170115980354, b = 0.9361629103817777]\n",
            "sum_of_squares_of_residuals => 8707.462304970102\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/282] =============\n",
            "[model = laplace, a = 0.8796700307937864, b = 2.411032787562658]\n",
            "sum_of_squares_of_residuals => 9735.058554665151\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/283] =============\n",
            "[model = laplace, a = 4.993277833210205, b = 1.985637602751697]\n",
            "sum_of_squares_of_residuals => 164.52614450401143\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/284] =============\n",
            "[model = laplace, a = 4.9931682943982985, b = 1.9855245668850348]\n",
            "sum_of_squares_of_residuals => 164.52613230256685\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/285] =============\n",
            "[model = laplace, a = 4.99189419991021, b = 1.9852906938006045]\n",
            "sum_of_squares_of_residuals => 164.53051375043594\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/286] =============\n",
            "[model = laplace, a = 8.996365815947655, b = 3.522482752161685]\n",
            "sum_of_squares_of_residuals => 6086.438328117379\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/287] =============\n",
            "[model = laplace, a = 4.481651236290648, b = 2.6973449396100646]\n",
            "sum_of_squares_of_residuals => 869.6950159280182\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/288] =============\n",
            "[model = laplace, a = 5.170350242474005, b = 2.1540992761036017]\n",
            "sum_of_squares_of_residuals => 260.35587756039234\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/289] =============\n",
            "[model = laplace, a = 4.993209448030934, b = 1.9852913970013566]\n",
            "sum_of_squares_of_residuals => 164.52614796795325\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/290] =============\n",
            "[model = laplace, a = 4.99384747704711, b = 1.9839366310708164]\n",
            "sum_of_squares_of_residuals => 164.5297566273257\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/291] =============\n",
            "[model = laplace, a = 4.99203884819828, b = 1.9860849035280719]\n",
            "sum_of_squares_of_residuals => 164.53017192075725\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/292] =============\n",
            "[model = laplace, a = 6.0725346758954055, b = 3.594184641507004]\n",
            "sum_of_squares_of_residuals => 2067.399367548604\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/293] =============\n",
            "[model = laplace, a = 9.254413332516243, b = 2.102512596297549]\n",
            "sum_of_squares_of_residuals => 9740.17119066916\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/294] =============\n",
            "[model = laplace, a = 6.191045500801113, b = 3.7053006505352655]\n",
            "sum_of_squares_of_residuals => 2269.396449666327\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/295] =============\n",
            "[model = laplace, a = 4.993211295556161, b = 1.9854100195630726]\n",
            "sum_of_squares_of_residuals => 164.52611734414336\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/296] =============\n",
            "[model = laplace, a = 4.994005984265431, b = 1.9840247574818803]\n",
            "sum_of_squares_of_residuals => 164.5299906836305\n",
            "=========== Start Trial: [projects/75551437443/locations/us-central1/studies/1715977094819/trials/297] =============\n",
            "[model = laplace, a = 4.992510573694852, b = 1.9868636560031097]\n",
            "sum_of_squares_of_residuals => 164.52981115867382\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "optimal_trials = vizier_client.list_optimal_trials({\n",
        "    'parent': STUDY_ID\n",
        "})\n",
        "\n",
        "optimal_trial = optimal_trials.optimal_trials[0]\n",
        "\n",
        "print(\"Optimal trial\")\n",
        "y_hat = GenerateFit(optimal_trial.parameters)\n",
        "\n",
        "plt.plot(x, y_l_r)\n",
        "plt.plot(x, y_hat)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 301
        },
        "id": "XxWcMa6v4vDU",
        "outputId": "5f61289c-8426-4bf1-9f44-f402bf9b755c"
      },
      "execution_count": 105,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Optimal trial\n",
            "[model = laplace, a = 4.993211295556161, b = 1.9854100195630726]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    }
  ]
}