{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "import uproot\n",
    "import awkward as ak\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import mplhep\n",
    "\n",
    "from sklearn.preprocessing import PolynomialFeatures\n",
    "from sklearn.linear_model import LinearRegression, Lasso, Ridge, ElasticNet\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.pipeline import Pipeline\n",
    "from sklearn.metrics import mean_squared_error\n",
    "\n",
    "mplhep.style.use([\"LHCbTex2\"])\n",
    "input_tree = uproot.open(\n",
    "    {\n",
    "        \"/work/cetin/LHCb/reco_tuner/data/tracking_losses_ntuple_B_BJpsi_def_selected.root\": \"Selected\"\n",
    "    }\n",
    ")\n",
    "array = input_tree.arrays()\n",
    "\n",
    "array[\"yStraightOut\"] = array[\"ideal_state_770_y\"] + array[\"ideal_state_770_ty\"] * (\n",
    "    array[\"ideal_state_10000_z\"] - array[\"ideal_state_770_z\"]\n",
    ")\n",
    "array[\"yDiffOut\"] = array[\"ideal_state_10000_y\"] - array[\"yStraightOut\"]\n",
    "array[\"yStraightEndT\"] = array[\"ideal_state_770_y\"] + array[\"ideal_state_770_ty\"] * (\n",
    "    9410.0 - array[\"ideal_state_770_z\"]\n",
    ")\n",
    "array[\"yDiffEndT\"] = array[\"ideal_state_9410_y\"] - array[\"yStraightEndT\"]\n",
    "\n",
    "array[\"dSlope_xEndT\"] = array[\"ideal_state_9410_tx\"] - array[\"ideal_state_770_tx\"]\n",
    "array[\"dSlope_yEndT\"] = array[\"ideal_state_9410_ty\"] - array[\"ideal_state_770_ty\"]\n",
    "array[\"dSlope_xEndT_abs\"] = abs(array[\"dSlope_xEndT\"])\n",
    "array[\"dSlope_yEndT_abs\"] = abs(array[\"dSlope_yEndT\"])\n",
    "\n",
    "\n",
    "def format_array(name, coef):\n",
    "    coef = [str(c) + \"f\" for c in coef if c != 0.0]\n",
    "    code = f\"constexpr std::array {name}\"\n",
    "    code += \"{\" + \", \".join(list(coef)) + \"};\"\n",
    "    return code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.linspace(-200, 200, 50)\n",
    "sns.regplot(\n",
    "    x=ak.to_numpy(array[\"ideal_state_770_y\"]),\n",
    "    y=ak.to_numpy(array[\"yDiffOut\"]),\n",
    "    x_bins=bins,\n",
    "    fit_reg=None,\n",
    "    x_estimator=np.mean,\n",
    ")\n",
    "plt.xlabel(\"y (VELO)\")\n",
    "plt.ylabel(\"$y_{corr}$ [mm]\")\n",
    "mplhep.lhcb.text(\"Simulation\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.linspace(-200, 200, 50)\n",
    "sns.regplot(\n",
    "    x=ak.to_numpy(array[\"ideal_state_9410_y\"]),\n",
    "    y=ak.to_numpy(array[\"yDiffOut\"]),\n",
    "    x_bins=bins,\n",
    "    fit_reg=None,\n",
    "    x_estimator=np.mean,\n",
    ")\n",
    "plt.xlabel(\"y (T)\")\n",
    "plt.ylabel(\"$y_{corr}$ [mm]\")\n",
    "mplhep.lhcb.text(\"Simulation\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.linspace(-1, 1, 50)\n",
    "sns.regplot(\n",
    "    x=ak.to_numpy(array[\"ideal_state_9410_ty\"]),\n",
    "    y=ak.to_numpy(array[\"yDiffOut\"]),\n",
    "    x_bins=bins,\n",
    "    fit_reg=None,\n",
    "    x_estimator=np.mean,\n",
    ")\n",
    "plt.xlabel(\"ty (T)\")\n",
    "plt.ylabel(\"$y_{corr}$ [mm]\")\n",
    "mplhep.lhcb.text(\"Simulation\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.linspace(-1, 1, 50)\n",
    "sns.regplot(\n",
    "    x=ak.to_numpy(array[\"ideal_state_770_ty\"]),\n",
    "    y=ak.to_numpy(array[\"yDiffOut\"]),\n",
    "    x_bins=bins,\n",
    "    fit_reg=None,\n",
    "    x_estimator=np.mean,\n",
    ")\n",
    "plt.xlabel(\"ty (VELO)\")\n",
    "plt.ylabel(\"$y_{corr}$ [mm]\")\n",
    "mplhep.lhcb.text(\"Simulation\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.linspace(-0.5, 0.5, 50)\n",
    "sns.regplot(\n",
    "    x=ak.to_numpy(array[\"dSlope_yEndT\"]),\n",
    "    y=ak.to_numpy(array[\"yDiffOut\"]),\n",
    "    x_bins=bins,\n",
    "    fit_reg=None,\n",
    "    x_estimator=np.mean,\n",
    ")\n",
    "plt.xlabel(\"dSlope y\")\n",
    "plt.ylabel(\"$y_{corr}$ [mm]\")\n",
    "mplhep.lhcb.text(\"Simulation\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x900 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.linspace(-1, 1, 50)\n",
    "sns.regplot(\n",
    "    x=ak.to_numpy(array[\"dSlope_xEndT\"]),\n",
    "    y=ak.to_numpy(array[\"yDiffOut\"]),\n",
    "    x_bins=bins,\n",
    "    fit_reg=None,\n",
    "    x_estimator=np.mean,\n",
    ")\n",
    "plt.xlabel(\"dSlope x \")\n",
    "plt.ylabel(\"$y_{corr}$ [mm]\")\n",
    "mplhep.lhcb.text(\"Simulation\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "intercept= 0.16257747434812642\n",
      "coef= {'dSlope_yEndT': 4379.8079670973475, 'dSlope_xEndT dSlope_yEndT': 37.76975769672208, 'ideal_state_770_ty dSlope_xEndT^2': 1224.0422108322969, 'ideal_state_770_ty dSlope_yEndT^2': -18042.13200642719}\n",
      "r2 score= 0.8441034202616307\n",
      "RMSE = 10.185808113150346\n"
     ]
    }
   ],
   "source": [
    "features = [\n",
    "    \"ideal_state_770_ty\",\n",
    "    # \"ideal_state_9410_ty\",\n",
    "    # \"ideal_state_770_y\",\n",
    "    # \"ideal_state_9410_y\",\n",
    "    \"dSlope_xEndT\",\n",
    "    \"dSlope_yEndT\",\n",
    "]\n",
    "target_feat = \"yDiffOut\"\n",
    "order = 3\n",
    "\n",
    "data = np.column_stack([ak.to_numpy(array[feat]) for feat in features])\n",
    "target = ak.to_numpy(array[target_feat])\n",
    "X_train, X_test, y_train, y_test = train_test_split(data,\n",
    "                                                    target,\n",
    "                                                    test_size=0.2,\n",
    "                                                    random_state=42)\n",
    "\n",
    "poly = PolynomialFeatures(degree=order, include_bias=False)\n",
    "X_train_model = poly.fit_transform(X_train)\n",
    "X_test_model = poly.fit_transform(X_test)\n",
    "\n",
    "poly_features = poly.get_feature_names_out(input_features=features)\n",
    "\n",
    "# keep = [\n",
    "#     # \"ideal_state_770_ty\",  #\n",
    "#     # \"dSlope_xEndT\",  #\n",
    "#     \"dSlope_yEndT\",  # keep\n",
    "#     # \"ideal_state_770_ty^2\",  #\n",
    "#     # \"ideal_state_770_ty dSlope_xEndT\",  #\n",
    "#     # \"ideal_state_770_ty dSlope_yEndT\",  #\n",
    "#     # \"dSlope_xEndT^2\",  # do not keep\n",
    "#     \"dSlope_xEndT dSlope_yEndT\",  # keep\n",
    "#     # \"dSlope_yEndT^2\",  #\n",
    "#     # \"ideal_state_770_ty^3\",\n",
    "#     # \"ideal_state_770_ty^2 dSlope_xEndT\",  #\n",
    "#     # \"ideal_state_770_ty^2 dSlope_yEndT\",\n",
    "#     \"ideal_state_770_ty dSlope_xEndT^2\",  # keep\n",
    "#     # \"ideal_state_770_ty dSlope_xEndT dSlope_yEndT\",  #\n",
    "#     \"ideal_state_770_ty dSlope_yEndT^2\",  # keep\n",
    "#     # \"dSlope_xEndT^3\",  # do not keep\n",
    "#     # \"dSlope_xEndT^2 dSlope_yEndT\",  #\n",
    "#     # \"dSlope_xEndT dSlope_yEndT^2\",  #\n",
    "#     # \"dSlope_yEndT^3\",\n",
    "#     # \"ideal_state_770_ty^4\",\n",
    "#     # \"ideal_state_770_ty^3 dSlope_xEndT\",\n",
    "#     # \"ideal_state_770_ty^3 dSlope_yEndT\",\n",
    "#     # \"ideal_state_770_ty^2 dSlope_xEndT^2\",  #\n",
    "#     # \"ideal_state_770_ty^2 dSlope_xEndT dSlope_yEndT\",\n",
    "#     # \"ideal_state_770_ty^2 dSlope_yEndT^2\",\n",
    "#     # \"ideal_state_770_ty dSlope_xEndT^3\",  # do not keep\n",
    "#     # \"ideal_state_770_ty dSlope_xEndT^2 dSlope_yEndT\",  #\n",
    "#     # \"ideal_state_770_ty dSlope_xEndT dSlope_yEndT^2\",\n",
    "#     # \"ideal_state_770_ty dSlope_yEndT^3\",\n",
    "#     # \"dSlope_xEndT^4\",  #\n",
    "#     \"dSlope_xEndT^3 dSlope_yEndT\",  # keep\n",
    "#     # \"dSlope_xEndT^2 dSlope_yEndT^2\",  #\n",
    "#     # \"dSlope_xEndT dSlope_yEndT^3\",\n",
    "#     # \"dSlope_yEndT^4\",\n",
    "#     # \"ideal_state_770_ty^5\",\n",
    "#     # \"ideal_state_770_ty^4 dSlope_xEndT\",\n",
    "#     # \"ideal_state_770_ty^4 dSlope_yEndT\",\n",
    "#     # \"ideal_state_770_ty^3 dSlope_xEndT^2\",\n",
    "#     # \"ideal_state_770_ty^3 dSlope_xEndT dSlope_yEndT\",\n",
    "#     # \"ideal_state_770_ty^3 dSlope_yEndT^2\",\n",
    "#     # \"ideal_state_770_ty^2 dSlope_xEndT^3\",  #\n",
    "#     # \"ideal_state_770_ty^2 dSlope_xEndT^2 dSlope_yEndT\",\n",
    "#     # \"ideal_state_770_ty^2 dSlope_xEndT dSlope_yEndT^2\",\n",
    "#     # \"ideal_state_770_ty^2 dSlope_yEndT^3\",\n",
    "#     \"ideal_state_770_ty dSlope_xEndT^4\",  # keep\n",
    "#     # \"ideal_state_770_ty dSlope_xEndT^3 dSlope_yEndT\",  #\n",
    "#     # \"ideal_state_770_ty dSlope_xEndT^2 dSlope_yEndT^2\",\n",
    "#     # \"ideal_state_770_ty dSlope_xEndT dSlope_yEndT^3\",\n",
    "#     # \"ideal_state_770_ty dSlope_yEndT^4\",\n",
    "#     # \"dSlope_xEndT^5\",  #\n",
    "#     \"dSlope_xEndT^4 dSlope_yEndT\",  # keep\n",
    "#     # \"dSlope_xEndT^3 dSlope_yEndT^2\",  #\n",
    "#     # \"dSlope_xEndT^2 dSlope_yEndT^3\",\n",
    "#     # \"dSlope_xEndT dSlope_yEndT^4\",\n",
    "#     # \"dSlope_yEndT^5\",\n",
    "# ]\n",
    "\n",
    "keep = [\n",
    "    \"dSlope_yEndT\",  # keep\n",
    "    \"dSlope_xEndT dSlope_yEndT\",  # keep\n",
    "    \"ideal_state_770_ty dSlope_xEndT^2\",  # keep\n",
    "    \"ideal_state_770_ty dSlope_yEndT^2\",  # keep\n",
    "    # \"dSlope_xEndT^3 dSlope_yEndT\",  # do not keep\n",
    "    # \"ideal_state_770_ty dSlope_xEndT^4\",  # keep\n",
    "    # \"dSlope_xEndT^4 dSlope_yEndT\",  # keep\n",
    "]\n",
    "\n",
    "# keep = [\n",
    "#     \"ideal_state_770_ty dSlope_yEndT^2\",\n",
    "#     \"ideal_state_770_ty dSlope_xEndT^2\",\n",
    "# ]\n",
    "remove = [i for i, f in enumerate(poly_features) if f not in keep]\n",
    "\n",
    "X_train_model = np.delete(X_train_model, remove, axis=1)\n",
    "X_test_model = np.delete(X_test_model, remove, axis=1)\n",
    "poly_features = np.delete(poly_features, remove)\n",
    "# print(poly_features)\n",
    "lin_reg = LinearRegression()\n",
    "# lin_reg = Lasso(fit_intercept=False, alpha=0.000001)\n",
    "# lin_reg = Lasso(alpha=0.1)\n",
    "# lin_reg = LassoCV(max_iter=2000)\n",
    "# lin_reg = ElasticNet(alpha=0.1)\n",
    "# lin_reg = Ridge(alpha=0)\n",
    "lin_reg.fit(X_train_model, y_train)\n",
    "y_pred_test = lin_reg.predict(X_test_model)\n",
    "print(\"intercept=\", lin_reg.intercept_)\n",
    "print(\"coef=\", dict(zip(poly_features, lin_reg.coef_)))\n",
    "print(\"r2 score=\", lin_reg.score(X_test_model, y_test))\n",
    "print(\"RMSE =\", mean_squared_error(y_test, y_pred_test, squared=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 148,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 148,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "koeffs = dict(zip(poly_features, lin_reg.coef_))\n",
    "\n",
    "remove = []\n",
    "for itr in koeffs.items():\n",
    "    if abs(itr[1]) < 1.0:\n",
    "        remove.append(itr[0])\n",
    "remove"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [],
   "source": [
    "ls_koeffs = []\n",
    "for itr in koeffs.items():\n",
    "    ls_koeffs.append(itr[0])\n",
    "# ls_koeffs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['1', 'dSlope_xEndT^2', 'dSlope_xEndT^3', 'dSlope_xEndT^6']"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 149,
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x900 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.linspace(-40, 40, 50)\n",
    "ax = sns.regplot(\n",
    "    x=y_test,\n",
    "    y=abs(y_test - y_pred_test),\n",
    "    x_bins=bins,\n",
    "    fit_reg=None,\n",
    "    x_estimator=np.mean,\n",
    "    label=\"bla\",\n",
    ")\n",
    "ax2 = ax.twinx()\n",
    "ax2.hist(y_test,\n",
    "         bins=20,\n",
    "         range=[-40, 40],\n",
    "         color=\"#2A9D8F\",\n",
    "         alpha=0.5,\n",
    "         align=\"left\")\n",
    "ax.set_xlabel(r\"y$_{corr}$ [mm]\")\n",
    "ax.set_ylabel(\"Mean Deviation [mm]\")\n",
    "ax2.set_ylabel(\"Number of Tracks\")\n",
    "mplhep.lhcb.text(\"Simulation\", loc=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "features = [\n",
    "    \"ideal_state_770_ty\",\n",
    "    \"ideal_state_770_tx\",\n",
    "    \"dSlope_xEndT\",\n",
    "    \"dSlope_yEndT\",\n",
    "    \"dSlope_xEndT_abs\",\n",
    "    \"dSlope_yEndT_abs\",\n",
    "]\n",
    "target_feat = \"yDiffEndT\"\n",
    "\n",
    "data = np.column_stack([ak.to_numpy(array[feat]) for feat in features])\n",
    "target = ak.to_numpy(array[target_feat])\n",
    "X_train, X_test, y_train, y_test = train_test_split(\n",
    "    data, target, test_size=0.2, random_state=42\n",
    ")\n",
    "\n",
    "poly = PolynomialFeatures(degree=6, include_bias=False)\n",
    "X_train_model = poly.fit_transform(X_train)\n",
    "X_test_model = poly.fit_transform(X_test)\n",
    "poly_features = poly.get_feature_names_out(input_features=features)\n",
    "keep = [\n",
    "    #'dSlope_xEndT',\n",
    "    \"dSlope_yEndT\",  # keep\n",
    "    #'dSlope_yEndT_abs',\n",
    "    #'ty dSlope_xEndT',\n",
    "    #'ty dSlope_yEndT',\n",
    "    \"ideal_state_770_ty dSlope_xEndT_abs\",  # keep\n",
    "    \"ideal_state_770_ty dSlope_yEndT_abs\",  # keep\n",
    "    \"ideal_state_770_ty dSlope_yEndT^2\",  # keep\n",
    "    \"ideal_state_770_ty dSlope_xEndT^2\",  # keep\n",
    "    #'tx dSlope_xEndT',\n",
    "    #'tx dSlope_xEndT_abs',\n",
    "    #'tx dSlope_yEndT',\n",
    "    \"ideal_state_770_ty ideal_state_770_tx dSlope_xEndT\",  # keep\n",
    "    \"ideal_state_770_tx^2 dSlope_yEndT\",  # keep\n",
    "    #'ty^2 dSlope_xEndT',\n",
    "    #'ty^2 dSlope_yEndT',\n",
    "    #'ty^2 dSlope_xEndT_abs',\n",
    "    #'ty^2 tx dSlope_xEndT',\n",
    "    #'ty tx^2 dSlope_yEndT',\n",
    "    \"ideal_state_770_ty ideal_state_770_tx^2 dSlope_xEndT_abs\",  # keep\n",
    "    \"ideal_state_770_ty^3 ideal_state_770_tx dSlope_xEndT\",  # keep\n",
    "    #'ty tx^3 dSlope_xEndT',\n",
    "    #'ty^3 dSlope_yEndT_abs',\n",
    "]\n",
    "do_not_keep = [\n",
    "    \"dSlope_xEndT\",\n",
    "    \"dSlope_yEndT_abs\",\n",
    "    \"ideal_state_770_ty dSlope_xEndT\",\n",
    "    \"ideal_state_770_tx dSlope_xEndT\",\n",
    "    \"ideal_state_770_tx dSlope_xEndT_abs\",\n",
    "    \"ideal_state_770_tx dSlope_yEndT\",\n",
    "    \"ideal_state_770_ty^2 dSlope_xEndT\",\n",
    "    \"ideal_state_770_ty^3 dSlope_yEndT_abs\",\n",
    "    \"ideal_state_770_ty ideal_state_770_tx dSlope_yEndT\",\n",
    "    \"ideal_state_770_ty ideal_state_770_tx^3 dSlope_xEndT\",\n",
    "    \"ideal_state_770_ty ideal_state_770_tx^2 dSlope_yEndT\",\n",
    "]\n",
    "reduce = True\n",
    "if reduce:\n",
    "    remove = [i for i, f in enumerate(poly_features) if (keep and f not in keep)]\n",
    "    X_train_model = np.delete(X_train_model, remove, axis=1)\n",
    "    X_test_model = np.delete(X_test_model, remove, axis=1)\n",
    "    poly_features = np.delete(poly_features, remove)\n",
    "    print(poly_features)\n",
    "if not reduce:\n",
    "    remove = [\n",
    "        i\n",
    "        for i, f in enumerate(poly_features)\n",
    "        if (\"dSlope_\" not in f)\n",
    "        or (\"EndT^\" in f)\n",
    "        or (\"abs^\" in f)\n",
    "        or (\"EndT dSlope\" in f)\n",
    "        or (\"abs dSlope\" in f)\n",
    "    ]\n",
    "    X_train_model = np.delete(X_train_model, remove, axis=1)\n",
    "    X_test_model = np.delete(X_test_model, remove, axis=1)\n",
    "    poly_features = np.delete(poly_features, remove)\n",
    "    # print(poly_features)\n",
    "    lin_reg = Lasso(fit_intercept=False, alpha=0.000001)\n",
    "else:\n",
    "    lin_reg = LinearRegression(fit_intercept=False)\n",
    "lin_reg.fit(X_train_model, y_train)\n",
    "y_pred_test = lin_reg.predict(X_test_model)\n",
    "print(\"intercept=\", lin_reg.intercept_)\n",
    "print(\n",
    "    \"coef=\",\n",
    "    {\n",
    "        k: v\n",
    "        for k, v in zip(poly_features, lin_reg.coef_)\n",
    "        if abs(v) > 1.0 and k not in keep and k not in do_not_keep\n",
    "    },\n",
    ")\n",
    "print(\"r2 score=\", lin_reg.score(X_test_model, y_test))\n",
    "print(\"RMSE =\", mean_squared_error(y_test, y_pred_test, squared=False))\n",
    "print(\n",
    "    \"straight RMSE =\",\n",
    "    mean_squared_error(\n",
    "        array[\"ideal_state_9410_y\"],\n",
    "        array[\"ideal_state_770_y\"]\n",
    "        + array[\"ideal_state_770_ty\"]\n",
    "        * (array[\"ideal_state_9410_z\"] - array[\"ideal_state_770_z\"]),\n",
    "        squared=False,\n",
    "    ),\n",
    ")\n",
    "print(format_array(\"y_xEndT_diff\", lin_reg.coef_))"
   ]
  }
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