VAE-Copy2.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import tensorflow as tf\n",
    "\n",
    "np.random.seed(0)\n",
    "tf.set_random_seed(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Extracting MNIST_data\\train-images-idx3-ubyte.gz\n",
      "Extracting MNIST_data\\train-labels-idx1-ubyte.gz\n",
      "Extracting MNIST_data\\t10k-images-idx3-ubyte.gz\n",
      "Extracting MNIST_data\\t10k-labels-idx1-ubyte.gz\n"
     ]
    }
   ],
   "source": [
    "from tensorflow.examples.tutorials.mnist import input_data\n",
    "\n",
    "mnist = input_data.read_data_sets('MNIST_data', one_hot=True)\n",
    "n_samples = mnist.train.num_examples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def xavier_init(fan_in, fan_out, constant = 1):\n",
    "    low = -constant * np.sqrt(6.0 / (fan_in + fan_out)) \n",
    "    high = constant * np.sqrt(6.0 / (fan_in + fan_out))\n",
    "    return tf.random_uniform((fan_in, fan_out), minval = low, maxval = high, dtype = tf.float32)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "class VAE(object):\n",
    "    def __init__(self, dim_input, dim_latent, hu_encoder, hu_decoder, batch_size, learning_rate, LB):\n",
    "        self.dim_input = dim_input\n",
    "        self.dim_latent = dim_latent\n",
    "        self.batch_size = batch_size\n",
    "        self.learning_rate = learning_rate\n",
    "        \n",
    "        # Input\n",
    "        self.x = tf.placeholder(tf.float32, [None, dim_input])\n",
    "\n",
    "        # Encoder\n",
    "        self.z_mean, self.z_log_sigma_sq = self._encoder(dim_input, dim_latent, hu_encoder)\n",
    "        \n",
    "        # Latent Z\n",
    "        eps = tf.random_normal((batch_size, dim_latent), 0, 1, dtype=tf.float32)\n",
    "        self.z = tf.add(self.z_mean, tf.mul(tf.sqrt(tf.exp(self.z_log_sigma_sq)), eps))\n",
    "        \n",
    "        # Decoder\n",
    "        self.x_reconstr_mean = self._decoder(dim_input, dim_latent, hu_decoder)\n",
    "        \n",
    "        # Optimizer\n",
    "        self._optimizer(learning_rate, LB)\n",
    "        \n",
    "        # Initializing the tensor flow variables\n",
    "        init = tf.global_variables_initializer()\n",
    "\n",
    "        # Launch the session\n",
    "        self.sess = tf.InteractiveSession()\n",
    "        self.sess.run(init)\n",
    "                       \n",
    "    def _encoder(self, dim_input, dim_latent, n_hidden):\n",
    "        hidden_w = tf.Variable(xavier_init(dim_input, n_hidden))\n",
    "        hidden_b = tf.Variable(tf.zeros([n_hidden], dtype=tf.float32))\n",
    "        out_mu_w = tf.Variable(xavier_init(n_hidden, dim_latent)) \n",
    "        out_mu_b = tf.Variable(tf.zeros([dim_latent], dtype=tf.float32))\n",
    "        out_sigma_w = tf.Variable(xavier_init(n_hidden, dim_latent)) \n",
    "        out_sigma_b = tf.Variable(tf.zeros([dim_latent], dtype=tf.float32))\n",
    "        \n",
    "        hidden_layer = tf.nn.softplus(tf.add(tf.matmul(self.x, hidden_w), hidden_b))\n",
    "        z_mean = tf.add(tf.matmul(hidden_layer, out_mu_w), out_mu_b)\n",
    "        z_log_sigma_sq = tf.add(tf.matmul(hidden_layer, out_sigma_w), out_sigma_b)\n",
    "        return z_mean, z_log_sigma_sq\n",
    "\n",
    "    def _decoder(self, dim_input, dim_latent, n_hidden):\n",
    "        hidden_w = tf.Variable(xavier_init(dim_latent, n_hidden))\n",
    "        self.hidden_weights = hidden_w\n",
    "        hidden_b = tf.Variable(tf.zeros([n_hidden], dtype=tf.float32))\n",
    "        out_w = tf.Variable(xavier_init(n_hidden, dim_input)) \n",
    "        out_b = tf.Variable(tf.zeros([dim_input], dtype=tf.float32))\n",
    "        \n",
    "        hidden_layer = tf.nn.softplus(tf.add(tf.matmul(self.z, hidden_w), hidden_b))\n",
    "        x_reconstr_mean = tf.nn.sigmoid(tf.add(tf.matmul(hidden_layer, out_w), out_b))\n",
    "        return x_reconstr_mean\n",
    "    \n",
    "    def _optimizer(self, learning_rate, LB):\n",
    "        \n",
    "        # The loss is composed of two terms:\n",
    "        # 1.) The reconstruction loss (the negative log probability\n",
    "        #     of the input under the reconstructed Bernoulli distribution \n",
    "        #     induced by the decoder in the data space).\n",
    "        #     This can be interpreted as the number of \"nats\" required\n",
    "        #     for reconstructing the input when the activation in latent\n",
    "        #     is given.\n",
    "        # Adding 1e-10 to avoid evaluation of log(0.0)\n",
    "        reconstr_loss =  -tf.reduce_sum(self.x * tf.log(1e-10 + self.x_reconstr_mean)\n",
    "                           + (1-self.x) * tf.log(1e-10 + 1 - self.x_reconstr_mean), 1)\n",
    "\n",
    "        # 2.) The latent loss, which is defined as the Kullback Leibler divergence \n",
    "        ##    between the distribution in latent space induced by the encoder on \n",
    "        #     the data and some prior. This acts as a kind of regularizer.\n",
    "        #     This can be interpreted as the number of \"nats\" required\n",
    "        #     for transmitting the the latent space distribution given\n",
    "        #     the prior.\n",
    "        latent_loss = -0.5 * tf.reduce_sum(1 + self.z_log_sigma_sq \n",
    "                                       - tf.square(self.z_mean) \n",
    "                                       - tf.exp(self.z_log_sigma_sq), 1)\n",
    "        self.lb_loss = latent_loss\n",
    "        self.cost_lb = tf.reduce_mean(reconstr_loss + latent_loss)   # average over batch\n",
    "        \n",
    "        #prob of producing this z from prior * prob of getting back x with the decoder\n",
    "        reconstr_loss = -tf.reduce_sum(self.x * tf.log(1e-10 + self.x_reconstr_mean)\n",
    "                           + (1-self.x) * tf.log(1e-10 + 1 - self.x_reconstr_mean), 1)\n",
    "        #sqrt(1/(2*pi*sigma^2)) exp(-(x-mu)^2/(2*sigma^2))\n",
    "        prior = tf.contrib.distributions.Normal(0., 1.)\n",
    "        prior_loss = -tf.reduce_sum(prior.log_pdf(self.z), 1) \n",
    "        # prob oof producing this z from x\n",
    "        z_dist = tf.contrib.distributions.Normal(self.z_mean, tf.sqrt(tf.exp(self.z_log_sigma_sq)))\n",
    "        latent_loss = tf.reduce_sum(z_dist.log_pdf(self.z), 1)\n",
    "        self.la_loss = prior_loss + latent_loss\n",
    "        self.cost_la = tf.reduce_mean(reconstr_loss + prior_loss + latent_loss)   # average over batch\n",
    "        # Use ADAM optimizer\n",
    "        \n",
    "        if (LB):\n",
    "            self.cost = self.cost_lb\n",
    "        else:\n",
    "            self.cost = self.cost_la\n",
    "        self.optimizer = \\\n",
    "            tf.train.AdamOptimizer(learning_rate=learning_rate).minimize(self.cost)\n",
    "        \n",
    "    def partial_fit(self, X):\n",
    "        opt, cost = self.sess.run((self.optimizer, self.cost), \n",
    "                                  feed_dict={self.x: X})\n",
    "        return cost\n",
    "    \n",
    "    def get_cost(self, X):\n",
    "        cost = self.sess.run(self.cost, feed_dict={self.x: X})\n",
    "        return cost\n",
    "    \n",
    "    def get_weights(self):\n",
    "        weights = self.sess.run(self.hidden_weights)\n",
    "        return weights\n",
    "    \n",
    "    def get_la_loss(self, X):\n",
    "        cost = self.sess.run(self.la_loss, feed_dict={self.x: X})\n",
    "        return cost\n",
    "    \n",
    "    def get_lb_loss(self, X):\n",
    "        cost = self.sess.run(self.lb_loss, feed_dict={self.x: X})\n",
    "        return cost\n",
    "    \n",
    "    def encode_mean(self, X):\n",
    "        return self.sess.run(self.z_mean, feed_dict={self.x: X})\n",
    "    \n",
    "    def encode_variational(self, X):\n",
    "        return self.sess.run(self.z, feed_dict={self.x: X})\n",
    "    \n",
    "    def generate_prior(self):\n",
    "        z_mu = np.random.normal(self.dim_latent)\n",
    "        return self.sess.run(self.x_reconstr_mean, \n",
    "                             feed_dict={self.z: z_mu})\n",
    "    \n",
    "    \n",
    "    def generate_z(self, z_mu):\n",
    "        return self.sess.run(self.x_reconstr_mean, \n",
    "                             feed_dict={self.z: z_mu})\n",
    "    \n",
    "    def reconstruct(self, X):\n",
    "        return self.sess.run(self.x_reconstr_mean, \n",
    "                             feed_dict={self.x: X})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def train_model(data, epoch, latent_dim, hidden_units, batch_size, learning_rate, LB):\n",
    "    input_dim = data.train.images.shape[1]\n",
    "    model = VAE(input_dim, latent_dim, hidden_units, hidden_units, batch_size, learning_rate, LB)\n",
    "    training_costs = []\n",
    "    test_costs = []\n",
    "    lb_samples = []\n",
    "    la_samples = []\n",
    "    for e in range(epoch):\n",
    "        avg_cost = 0.\n",
    "        total_batch = int(n_samples / batch_size)\n",
    "        for i in range(total_batch):\n",
    "            batch, _ = data.train.next_batch(batch_size)\n",
    "\n",
    "            # Fit training using batch data\n",
    "            cost = model.partial_fit(batch)\n",
    "            # Compute average loss\n",
    "            avg_cost += cost / n_samples * batch_size\n",
    "\n",
    "        # Display logs per epoch step\n",
    "        if (e % 1 == 0):\n",
    "            print(\"Epoch:\", '%04d' % (e+1), \"cost=\", \"{:.9f}\".format(avg_cost))\n",
    "        \n",
    "        if (e == 2 or e == 20 or e == 200):\n",
    "            lb = []\n",
    "            la = []\n",
    "            for i in range(0, 10000):\n",
    "                batch, _ = data.train.next_batch(batch_size)\n",
    "                lb.append(model.get_lb_loss(batch))\n",
    "                batch, _ = data.test.next_batch(batch_size)\n",
    "                la.append(model.get_la_loss(batch))\n",
    "            lb_samples.append(lb)\n",
    "            la_samples.append(la)\n",
    "    return model, lb_samples, la_samples"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 0001 cost= 140.109212266\n",
      "Epoch: 0002 cost= 116.917989122\n",
      "Epoch: 0003 cost= 113.002158051\n",
      "Epoch: 0004 cost= 111.022895530\n",
      "Epoch: 0005 cost= 109.655894631\n",
      "Epoch: 0006 cost= 108.888273069\n",
      "Epoch: 0007 cost= 108.226307886\n",
      "Epoch: 0008 cost= 107.822796112\n",
      "Epoch: 0009 cost= 107.295772131\n",
      "Epoch: 0010 cost= 107.115284956\n",
      "Epoch: 0011 cost= 106.828768557\n",
      "Epoch: 0012 cost= 106.490092968\n",
      "Epoch: 0013 cost= 106.295689941\n",
      "Epoch: 0014 cost= 106.036828955\n",
      "Epoch: 0015 cost= 105.943898576\n",
      "Epoch: 0016 cost= 105.721093406\n",
      "Epoch: 0017 cost= 105.611106506\n",
      "Epoch: 0018 cost= 105.459223369\n",
      "Epoch: 0019 cost= 105.454657018\n",
      "Epoch: 0020 cost= 105.097972312\n",
      "Epoch: 0021 cost= 105.173466447\n",
      "Epoch: 0022 cost= 105.039653542\n",
      "Epoch: 0023 cost= 104.892703721\n",
      "Epoch: 0024 cost= 104.801202431\n",
      "Epoch: 0025 cost= 104.681675484\n",
      "Epoch: 0026 cost= 104.626682293\n",
      "Epoch: 0027 cost= 104.535515353\n",
      "Epoch: 0028 cost= 104.564021529\n",
      "Epoch: 0029 cost= 104.322406702\n",
      "Epoch: 0030 cost= 104.384980829\n",
      "Epoch: 0031 cost= 104.200394359\n",
      "Epoch: 0032 cost= 104.220496371\n",
      "Epoch: 0033 cost= 104.098299971\n",
      "Epoch: 0034 cost= 104.097420579\n",
      "Epoch: 0035 cost= 104.020735155\n",
      "Epoch: 0036 cost= 103.931719413\n",
      "Epoch: 0037 cost= 103.911574319\n",
      "Epoch: 0038 cost= 103.886676594\n",
      "Epoch: 0039 cost= 103.826444699\n",
      "Epoch: 0040 cost= 103.686959328\n",
      "Epoch: 0041 cost= 103.735139868\n",
      "Epoch: 0042 cost= 103.634529866\n",
      "Epoch: 0043 cost= 103.683008933\n",
      "Epoch: 0044 cost= 103.494163275\n",
      "Epoch: 0045 cost= 103.464716250\n",
      "Epoch: 0046 cost= 103.442952859\n",
      "Epoch: 0047 cost= 103.403355263\n",
      "Epoch: 0048 cost= 103.392241594\n",
      "Epoch: 0049 cost= 103.315314983\n",
      "Epoch: 0050 cost= 103.257673193\n",
      "Epoch: 0051 cost= 103.356127841\n",
      "Epoch: 0052 cost= 103.222749800\n",
      "Epoch: 0053 cost= 103.117478416\n",
      "Epoch: 0054 cost= 103.237580971\n",
      "Epoch: 0055 cost= 103.047339053\n",
      "Epoch: 0056 cost= 103.052562162\n",
      "Epoch: 0057 cost= 103.048526783\n",
      "Epoch: 0058 cost= 103.080226563\n",
      "Epoch: 0059 cost= 102.963615900\n",
      "Epoch: 0060 cost= 103.040696317\n",
      "Epoch: 0061 cost= 102.893221666\n",
      "Epoch: 0062 cost= 102.787303900\n",
      "Epoch: 0063 cost= 103.029038746\n",
      "Epoch: 0064 cost= 102.829349215\n",
      "Epoch: 0065 cost= 102.878064009\n",
      "Epoch: 0066 cost= 102.798775063\n",
      "Epoch: 0067 cost= 102.769775210\n",
      "Epoch: 0068 cost= 102.811952121\n",
      "Epoch: 0069 cost= 102.650456623\n",
      "Epoch: 0070 cost= 102.680851424\n",
      "Epoch: 0071 cost= 102.823290378\n",
      "Epoch: 0072 cost= 102.590305947\n",
      "Epoch: 0073 cost= 102.620320587\n",
      "Epoch: 0074 cost= 102.575059140\n",
      "Epoch: 0075 cost= 102.599477839\n",
      "Epoch: 0076 cost= 102.621009560\n",
      "Epoch: 0077 cost= 102.555209442\n",
      "Epoch: 0078 cost= 102.522503773\n",
      "Epoch: 0079 cost= 102.465867670\n",
      "Epoch: 0080 cost= 102.471673540\n",
      "Epoch: 0081 cost= 102.465466311\n",
      "Epoch: 0082 cost= 102.495255396\n",
      "Epoch: 0083 cost= 102.402972551\n",
      "Epoch: 0084 cost= 102.424563282\n",
      "Epoch: 0085 cost= 102.412986237\n",
      "Epoch: 0086 cost= 102.309429549\n",
      "Epoch: 0087 cost= 102.340014318\n",
      "Epoch: 0088 cost= 102.350455561\n",
      "Epoch: 0089 cost= 102.336628127\n",
      "Epoch: 0090 cost= 102.332350700\n",
      "Epoch: 0091 cost= 102.194369396\n",
      "Epoch: 0092 cost= 102.242508886\n",
      "Epoch: 0093 cost= 102.214956468\n",
      "Epoch: 0094 cost= 102.252683810\n",
      "Epoch: 0095 cost= 102.201239585\n",
      "Epoch: 0096 cost= 102.127569419\n",
      "Epoch: 0097 cost= 102.281346824\n",
      "Epoch: 0098 cost= 102.060643993\n",
      "Epoch: 0099 cost= 102.146356556\n",
      "Epoch: 0100 cost= 102.174713953\n",
      "Epoch: 0101 cost= 102.160253285\n",
      "Epoch: 0102 cost= 102.027003049\n",
      "Epoch: 0103 cost= 102.157207375\n",
      "Epoch: 0104 cost= 101.997229426\n",
      "Epoch: 0105 cost= 102.040537886\n",
      "Epoch: 0106 cost= 102.145550834\n",
      "Epoch: 0107 cost= 101.997212552\n",
      "Epoch: 0108 cost= 102.140148379\n",
      "Epoch: 0109 cost= 101.933842843\n",
      "Epoch: 0110 cost= 102.116278670\n",
      "Epoch: 0111 cost= 101.793223000\n",
      "Epoch: 0112 cost= 102.005280420\n",
      "Epoch: 0113 cost= 102.037183133\n",
      "Epoch: 0114 cost= 101.791914273\n",
      "Epoch: 0115 cost= 102.059889587\n",
      "Epoch: 0116 cost= 101.952890431\n",
      "Epoch: 0117 cost= 101.926887781\n",
      "Epoch: 0118 cost= 101.979799183\n",
      "Epoch: 0119 cost= 101.829070399\n",
      "Epoch: 0120 cost= 101.961403673\n",
      "Epoch: 0121 cost= 101.888435342\n",
      "Epoch: 0122 cost= 101.884249232\n",
      "Epoch: 0123 cost= 101.792357830\n",
      "Epoch: 0124 cost= 101.823347895\n",
      "Epoch: 0125 cost= 101.837987252\n",
      "Epoch: 0126 cost= 101.868361472\n",
      "Epoch: 0127 cost= 101.758254650\n",
      "Epoch: 0128 cost= 101.821103566\n",
      "Epoch: 0129 cost= 101.794391307\n",
      "Epoch: 0130 cost= 101.862089874\n",
      "Epoch: 0131 cost= 101.653562211\n",
      "Epoch: 0132 cost= 101.776650907\n",
      "Epoch: 0133 cost= 101.784681355\n",
      "Epoch: 0134 cost= 101.684681580\n",
      "Epoch: 0135 cost= 101.772703766\n",
      "Epoch: 0136 cost= 101.670573101\n",
      "Epoch: 0137 cost= 101.769729983\n",
      "Epoch: 0138 cost= 101.727649359\n",
      "Epoch: 0139 cost= 101.695339078\n",
      "Epoch: 0140 cost= 101.680606934\n",
      "Epoch: 0141 cost= 101.703415708\n",
      "Epoch: 0142 cost= 101.677656117\n",
      "Epoch: 0143 cost= 101.628465415\n",
      "Epoch: 0144 cost= 101.811317017\n",
      "Epoch: 0145 cost= 101.481107405\n",
      "Epoch: 0146 cost= 101.672400790\n",
      "Epoch: 0147 cost= 101.635922202\n",
      "Epoch: 0148 cost= 101.660515914\n",
      "Epoch: 0149 cost= 101.556110493\n",
      "Epoch: 0150 cost= 101.557956035\n",
      "Epoch: 0151 cost= 101.604323694\n",
      "Epoch: 0152 cost= 101.622942474\n",
      "Epoch: 0153 cost= 101.455462189\n",
      "Epoch: 0154 cost= 101.620451114\n",
      "Epoch: 0155 cost= 101.524213346\n",
      "Epoch: 0156 cost= 101.535669134\n",
      "Epoch: 0157 cost= 101.544477792\n",
      "Epoch: 0158 cost= 101.526389230\n",
      "Epoch: 0159 cost= 101.644761050\n",
      "Epoch: 0160 cost= 101.381121746\n",
      "Epoch: 0161 cost= 101.563537742\n",
      "Epoch: 0162 cost= 101.521925995\n",
      "Epoch: 0163 cost= 101.542764094\n",
      "Epoch: 0164 cost= 101.421375227\n",
      "Epoch: 0165 cost= 101.491108565\n",
      "Epoch: 0166 cost= 101.476693864\n",
      "Epoch: 0167 cost= 101.573875438\n",
      "Epoch: 0168 cost= 101.335562875\n",
      "Epoch: 0169 cost= 101.446375350\n",
      "Epoch: 0170 cost= 101.530011771\n",
      "Epoch: 0171 cost= 101.353883140\n",
      "Epoch: 0172 cost= 101.499560358\n",
      "Epoch: 0173 cost= 101.414215102\n",
      "Epoch: 0174 cost= 101.405159920\n",
      "Epoch: 0175 cost= 101.387968043\n",
      "Epoch: 0176 cost= 101.446816736\n",
      "Epoch: 0177 cost= 101.420428908\n",
      "Epoch: 0178 cost= 101.384298012\n",
      "Epoch: 0179 cost= 101.416496696\n",
      "Epoch: 0180 cost= 101.335432670\n",
      "Epoch: 0181 cost= 101.441518230\n",
      "Epoch: 0182 cost= 101.314388694\n",
      "Epoch: 0183 cost= 101.474738195\n",
      "Epoch: 0184 cost= 101.306386192\n",
      "Epoch: 0185 cost= 101.349418776\n",
      "Epoch: 0186 cost= 101.391240495\n",
      "Epoch: 0187 cost= 101.354651717\n",
      "Epoch: 0188 cost= 101.386389904\n",
      "Epoch: 0189 cost= 101.377947124\n",
      "Epoch: 0190 cost= 101.303459511\n",
      "Epoch: 0191 cost= 101.284029849\n",
      "Epoch: 0192 cost= 101.374886741\n",
      "Epoch: 0193 cost= 101.291701177\n",
      "Epoch: 0194 cost= 101.289445035\n",
      "Epoch: 0195 cost= 101.424328630\n",
      "Epoch: 0196 cost= 101.262884344\n",
      "Epoch: 0197 cost= 101.239426946\n",
      "Epoch: 0198 cost= 101.378758406\n",
      "Epoch: 0199 cost= 101.336878504\n",
      "Epoch: 0200 cost= 101.294565335\n",
      "Epoch: 0201 cost= 101.258833557\n"
     ]
    }
   ],
   "source": [
    "model, lb_samples, la_samples = train_model(mnist, 201, 20, 200, 20, 0.001, True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[array([ 20.87954521,  35.24746704,  24.85883522, ...,  20.59732628,\n",
      "        19.03233337,  22.15098   ], dtype=float32), array([ 22.5408287 ,  27.64989471,  29.59116745, ...,  22.72832108,\n",
      "        25.76509285,  29.02490044], dtype=float32), array([ 26.78705597,  33.30182648,  26.46432877, ...,  26.66674805,\n",
      "        26.67703438,  28.0029583 ], dtype=float32)]\n",
      "7.14648747602e-13\n"
     ]
    },
    {
     "data": {
      "image/png": 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mp4ajEEmS1FzK3OK5e0T8V0Q8EhEbImJj9Ws4ipQkSY2nzLTX3wRagTOBR+n/Tg1JkjTK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\n/j/bOD0YW62ydQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1e64223add8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "lb_samples_flat = [np.concatenate(lb_samplesi).ravel() for lb_samplesi in lb_samples]\n",
    "la_samples_flat = [np.concatenate(la_samplesi).ravel() for la_samplesi in la_samples]\n",
    "\n",
    "print(lb_samples_flat)\n",
    "\n",
    "ax = plt.figure().add_subplot(111)\n",
    "ind = np.arange(3)  # the x locations for the groups\n",
    "width = 0.35\n",
    "plt.bar(ind, [np.mean(lb_samplesi) for lb_samplesi in lb_samples], width, color='r', yerr=[np.std(lb_samplesi) for lb_samplesi in lb_samples], label=r'$\\mathcal{L}^B$', ecolor='k')\n",
    "plt.bar(ind+width, [np.mean(la_samplesi) for la_samplesi in la_samples], width, color='b', yerr=[np.std(la_samplesi) for la_samplesi in la_samples], label=r'$\\mathcal{L}^A$', ecolor='k')\n",
    "\n",
    "ax.set_ylabel('Latent Loss')\n",
    "ax.set_xlabel('Training samples')\n",
    "ax.set_xticks(ind + width)\n",
    "ax.set_xticklabels((r'$10^3$', r'$10^4$', r'$10^5$'))\n",
    "plt.xlim(0.0 - width, 2 + 3 * width)\n",
    "plt.legend(loc=0)\n",
    "plt.savefig('latentloss.pdf')\n",
    "\n",
    "mean = np.mean(lb_samples_flat[2])\n",
    "from scipy.stats import ttest_ind\n",
    "t, p = ttest_ind([(x-mean)*(x-mean) for x in lb_samples_flat[2]], [(x-mean)*(x-mean) for x in la_samples_flat[2]])\n",
    "print(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Epoch: 0001 cost= 191.300999478\n",
      "Epoch: 0002 cost= 169.107659718\n",
      "Epoch: 0003 cost= 161.918231812\n",
      "Epoch: 0004 cost= 158.315199002\n",
      "Epoch: 0005 cost= 155.797707131\n",
      "Epoch: 0006 cost= 155.227575489\n",
      "Epoch: 0007 cost= 154.404142317\n",
      "Epoch: 0008 cost= 154.203792197\n",
      "Epoch: 0009 cost= 153.416621926\n",
      "Epoch: 0010 cost= 152.874928034\n",
      "Epoch: 0011 cost= 152.646150651\n",
      "Epoch: 0012 cost= 152.051247448\n",
      "Epoch: 0013 cost= 151.404949396\n",
      "Epoch: 0014 cost= 150.967189442\n",
      "Epoch: 0015 cost= 150.349159990\n",
      "Epoch: 0016 cost= 149.957328242\n",
      "Epoch: 0017 cost= 149.453359597\n",
      "Epoch: 0018 cost= 148.874138655\n",
      "Epoch: 0019 cost= 148.542018932\n",
      "Epoch: 0020 cost= 148.031598760\n",
      "Epoch: 0021 cost= 147.560794650\n",
      "Epoch: 0022 cost= 147.367305353\n",
      "Epoch: 0023 cost= 146.868189836\n",
      "Epoch: 0024 cost= 146.464532401\n",
      "Epoch: 0025 cost= 146.191525185\n",
      "Epoch: 0026 cost= 145.804650241\n",
      "Epoch: 0027 cost= 145.246486428\n",
      "Epoch: 0028 cost= 145.107275585\n",
      "Epoch: 0029 cost= 144.716409274\n",
      "Epoch: 0030 cost= 144.792649564\n",
      "Epoch: 0031 cost= 144.491326766\n",
      "Epoch: 0032 cost= 143.903276978\n",
      "Epoch: 0033 cost= 143.801586581\n",
      "Epoch: 0034 cost= 143.543713129\n",
      "Epoch: 0035 cost= 142.859771895\n",
      "Epoch: 0036 cost= 143.182246427\n",
      "Epoch: 0037 cost= 142.885142989\n",
      "Epoch: 0038 cost= 142.651873224\n",
      "Epoch: 0039 cost= 142.459119651\n",
      "Epoch: 0040 cost= 142.209762046\n",
      "Epoch: 0041 cost= 141.921043909\n",
      "Epoch: 0042 cost= 142.015183258\n",
      "Epoch: 0043 cost= 141.816057281\n",
      "Epoch: 0044 cost= 141.498679976\n",
      "Epoch: 0045 cost= 141.374732971\n",
      "Epoch: 0046 cost= 141.161751015\n",
      "Epoch: 0047 cost= 140.833467685\n",
      "Epoch: 0048 cost= 140.526781061\n",
      "Epoch: 0049 cost= 141.090212000\n",
      "Epoch: 0050 cost= 140.549116294\n",
      "Epoch: 0051 cost= 140.578624184\n",
      "Epoch: 0052 cost= 140.281805309\n",
      "Epoch: 0053 cost= 140.283759696\n",
      "Epoch: 0054 cost= 140.004839644\n",
      "Epoch: 0055 cost= 139.991809304\n",
      "Epoch: 0056 cost= 139.726644634\n",
      "Epoch: 0057 cost= 139.481623688\n",
      "Epoch: 0058 cost= 139.538454007\n",
      "Epoch: 0059 cost= 139.265150410\n",
      "Epoch: 0060 cost= 139.223236237\n",
      "Epoch: 0061 cost= 139.085126218\n",
      "Epoch: 0062 cost= 139.085513195\n",
      "Epoch: 0063 cost= 138.731467937\n",
      "Epoch: 0064 cost= 138.823860820\n",
      "Epoch: 0065 cost= 138.547994732\n",
      "Epoch: 0066 cost= 138.639295932\n",
      "Epoch: 0067 cost= 138.454269395\n",
      "Epoch: 0068 cost= 138.239362959\n",
      "Epoch: 0069 cost= 138.233544062\n",
      "Epoch: 0070 cost= 138.142410944\n",
      "Epoch: 0071 cost= 138.197309126\n",
      "Epoch: 0072 cost= 137.945379944\n",
      "Epoch: 0073 cost= 137.956556466\n",
      "Epoch: 0074 cost= 137.740999728\n",
      "Epoch: 0075 cost= 137.720183910\n",
      "Epoch: 0076 cost= 137.734142123\n",
      "Epoch: 0077 cost= 137.628890062\n",
      "Epoch: 0078 cost= 137.565818121\n",
      "Epoch: 0079 cost= 137.598843412\n",
      "Epoch: 0080 cost= 137.274975087\n",
      "Epoch: 0081 cost= 137.295139271\n",
      "Epoch: 0082 cost= 137.045153115\n",
      "Epoch: 0083 cost= 137.208334517\n",
      "Epoch: 0084 cost= 137.113343409\n",
      "Epoch: 0085 cost= 137.147929535\n",
      "Epoch: 0086 cost= 136.689285306\n",
      "Epoch: 0087 cost= 137.026358476\n",
      "Epoch: 0088 cost= 136.957810891\n",
      "Epoch: 0089 cost= 136.808303098\n",
      "Epoch: 0090 cost= 136.600706593\n",
      "Epoch: 0091 cost= 136.695637831\n",
      "Epoch: 0092 cost= 136.637951993\n",
      "Epoch: 0093 cost= 136.701851876\n",
      "Epoch: 0094 cost= 136.550008753\n",
      "Epoch: 0095 cost= 136.295700642\n",
      "Epoch: 0096 cost= 136.526250222\n",
      "Epoch: 0097 cost= 136.358125069\n",
      "Epoch: 0098 cost= 136.197794176\n",
      "Epoch: 0099 cost= 136.419303062\n",
      "Epoch: 0100 cost= 136.215962954\n",
      "Epoch: 0101 cost= 136.206304848\n",
      "Epoch: 0102 cost= 136.280690571\n",
      "Epoch: 0103 cost= 135.883596899\n",
      "Epoch: 0104 cost= 136.168110879\n",
      "Epoch: 0105 cost= 136.024831987\n",
      "Epoch: 0106 cost= 136.032703996\n",
      "Epoch: 0107 cost= 135.942657068\n",
      "Epoch: 0108 cost= 135.576451263\n",
      "Epoch: 0109 cost= 135.864334994\n",
      "Epoch: 0110 cost= 135.668091569\n",
      "Epoch: 0111 cost= 135.720459248\n",
      "Epoch: 0112 cost= 135.727661036\n",
      "Epoch: 0113 cost= 135.592986450\n",
      "Epoch: 0114 cost= 135.465234750\n",
      "Epoch: 0115 cost= 135.683705874\n",
      "Epoch: 0116 cost= 135.494134341\n",
      "Epoch: 0117 cost= 135.413946561\n",
      "Epoch: 0118 cost= 135.330248926\n",
      "Epoch: 0119 cost= 135.419183072\n",
      "Epoch: 0120 cost= 135.353469044\n",
      "Epoch: 0121 cost= 135.343913741\n",
      "Epoch: 0122 cost= 135.284998599\n",
      "Epoch: 0123 cost= 135.277222762\n",
      "Epoch: 0124 cost= 135.115077320\n",
      "Epoch: 0125 cost= 135.204759868\n",
      "Epoch: 0126 cost= 135.294530709\n",
      "Epoch: 0127 cost= 134.900699768\n",
      "Epoch: 0128 cost= 135.086396484\n",
      "Epoch: 0129 cost= 135.088811229\n",
      "Epoch: 0130 cost= 135.108845548\n",
      "Epoch: 0131 cost= 135.085150743\n",
      "Epoch: 0132 cost= 134.998812173\n",
      "Epoch: 0133 cost= 134.936890911\n",
      "Epoch: 0134 cost= 134.754011272\n",
      "Epoch: 0135 cost= 135.003009144\n",
      "Epoch: 0136 cost= 134.796771143\n",
      "Epoch: 0137 cost= 134.795102955\n",
      "Epoch: 0138 cost= 134.624922791\n",
      "Epoch: 0139 cost= 134.753438443\n",
      "Epoch: 0140 cost= 134.887959054\n",
      "Epoch: 0141 cost= 134.512235288\n",
      "Epoch: 0142 cost= 134.684384266\n",
      "Epoch: 0143 cost= 134.707611042\n",
      "Epoch: 0144 cost= 134.615562800\n",
      "Epoch: 0145 cost= 134.723612310\n",
      "Epoch: 0146 cost= 134.576057434\n",
      "Epoch: 0147 cost= 134.526610510\n",
      "Epoch: 0148 cost= 134.323527693\n",
      "Epoch: 0149 cost= 134.473116344\n",
      "Epoch: 0150 cost= 134.309895602\n",
      "Epoch: 0151 cost= 134.628822729\n",
      "Epoch: 0152 cost= 134.507533001\n",
      "Epoch: 0153 cost= 134.244284210\n",
      "Epoch: 0154 cost= 134.242807007\n",
      "Epoch: 0155 cost= 134.289000605\n",
      "Epoch: 0156 cost= 134.314707697\n",
      "Epoch: 0157 cost= 134.408029563\n",
      "Epoch: 0158 cost= 134.227221069\n",
      "Epoch: 0159 cost= 134.145486908\n",
      "Epoch: 0160 cost= 134.053123363\n",
      "Epoch: 0161 cost= 134.132775879\n",
      "Epoch: 0162 cost= 134.299786321\n",
      "Epoch: 0163 cost= 134.015208019\n",
      "Epoch: 0164 cost= 133.982796353\n",
      "Epoch: 0165 cost= 134.173934132\n",
      "Epoch: 0166 cost= 133.995341367\n",
      "Epoch: 0167 cost= 133.804893965\n",
      "Epoch: 0168 cost= 134.008309382\n",
      "Epoch: 0169 cost= 134.191686859\n",
      "Epoch: 0170 cost= 133.933091972\n",
      "Epoch: 0171 cost= 133.933909579\n",
      "Epoch: 0172 cost= 133.861516502\n",
      "Epoch: 0173 cost= 133.709821444\n",
      "Epoch: 0174 cost= 133.842282840\n",
      "Epoch: 0175 cost= 133.875419755\n",
      "Epoch: 0176 cost= 133.637491524\n",
      "Epoch: 0177 cost= 133.767347287\n",
      "Epoch: 0178 cost= 133.708799549\n",
      "Epoch: 0179 cost= 133.771092654\n",
      "Epoch: 0180 cost= 133.621646978\n",
      "Epoch: 0181 cost= 133.803111739\n",
      "Epoch: 0182 cost= 133.424436881\n",
      "Epoch: 0183 cost= 133.632471633\n",
      "Epoch: 0184 cost= 133.758353882\n",
      "Epoch: 0185 cost= 133.438012071\n",
      "Epoch: 0186 cost= 133.551634286\n",
      "Epoch: 0187 cost= 133.465915513\n",
      "Epoch: 0188 cost= 133.560429133\n",
      "Epoch: 0189 cost= 133.451456562\n",
      "Epoch: 0190 cost= 133.669707212\n",
      "Epoch: 0191 cost= 133.299435522\n",
      "Epoch: 0192 cost= 133.365876187\n",
      "Epoch: 0193 cost= 133.490537803\n",
      "Epoch: 0194 cost= 133.488846255\n",
      "Epoch: 0195 cost= 133.233915988\n",
      "Epoch: 0196 cost= 133.466511910\n",
      "Epoch: 0197 cost= 133.339796156\n",
      "Epoch: 0198 cost= 133.400261106\n",
      "Epoch: 0199 cost= 133.322749176\n",
      "Epoch: 0200 cost= 133.333705833\n",
      "Epoch: 0201 cost= 133.303596164\n",
      "Epoch: 0202 cost= 133.190146706\n",
      "Epoch: 0203 cost= 133.227814983\n",
      "Epoch: 0204 cost= 133.205667114\n",
      "Epoch: 0205 cost= 133.172886325\n",
      "Epoch: 0206 cost= 132.998368017\n",
      "Epoch: 0207 cost= 133.336148224\n",
      "Epoch: 0208 cost= 133.358112058\n",
      "Epoch: 0209 cost= 132.919407085\n",
      "Epoch: 0210 cost= 133.113730802\n",
      "Epoch: 0211 cost= 133.334573517\n",
      "Epoch: 0212 cost= 132.962624803\n",
      "Epoch: 0213 cost= 133.125241241\n",
      "Epoch: 0214 cost= 132.930971680\n",
      "Epoch: 0215 cost= 132.906601299\n",
      "Epoch: 0216 cost= 132.911976013\n",
      "Epoch: 0217 cost= 133.013904100\n",
      "Epoch: 0218 cost= 132.989296792\n",
      "Epoch: 0219 cost= 132.900367113\n",
      "Epoch: 0220 cost= 132.966684362\n",
      "Epoch: 0221 cost= 132.889576305\n",
      "Epoch: 0222 cost= 132.991983726\n",
      "Epoch: 0223 cost= 132.881504447\n",
      "Epoch: 0224 cost= 132.654275055\n",
      "Epoch: 0225 cost= 132.850384868\n",
      "Epoch: 0226 cost= 132.936379644\n",
      "Epoch: 0227 cost= 132.839193573\n",
      "Epoch: 0228 cost= 132.995607092\n",
      "Epoch: 0229 cost= 132.578220478\n",
      "Epoch: 0230 cost= 132.537511402\n",
      "Epoch: 0231 cost= 132.784972909\n",
      "Epoch: 0232 cost= 132.745410836\n",
      "Epoch: 0233 cost= 132.718635850\n",
      "Epoch: 0234 cost= 132.716851280\n",
      "Epoch: 0235 cost= 132.808043144\n",
      "Epoch: 0236 cost= 132.577446580\n",
      "Epoch: 0237 cost= 132.580470470\n",
      "Epoch: 0238 cost= 132.507902527\n",
      "Epoch: 0239 cost= 132.605652327\n",
      "Epoch: 0240 cost= 132.569662809\n",
      "Epoch: 0241 cost= 132.525376975\n",
      "Epoch: 0242 cost= 132.739435688\n",
      "Epoch: 0243 cost= 132.552003146\n",
      "Epoch: 0244 cost= 132.477998477\n",
      "Epoch: 0245 cost= 132.594823373\n",
      "Epoch: 0246 cost= 132.496252663\n",
      "Epoch: 0247 cost= 132.351417209\n",
      "Epoch: 0248 cost= 132.530196020\n",
      "Epoch: 0249 cost= 132.312012024\n",
      "Epoch: 0250 cost= 132.402824665\n",
      "Epoch: 0251 cost= 132.334343886\n",
      "Epoch: 0252 cost= 132.667529588\n",
      "Epoch: 0253 cost= 132.424523440\n",
      "Epoch: 0254 cost= 132.392478998\n",
      "Epoch: 0255 cost= 132.293147555\n",
      "Epoch: 0256 cost= 132.687267928\n",
      "Epoch: 0257 cost= 132.074368730\n",
      "Epoch: 0258 cost= 132.402552282\n",
      "Epoch: 0259 cost= 132.309902330\n",
      "Epoch: 0260 cost= 132.183837155\n",
      "Epoch: 0261 cost= 132.317597656\n",
      "Epoch: 0262 cost= 132.304455400\n",
      "Epoch: 0263 cost= 132.176653817\n",
      "Epoch: 0264 cost= 132.263975636\n",
      "Epoch: 0265 cost= 132.230877935\n",
      "Epoch: 0266 cost= 132.322205145\n",
      "Epoch: 0267 cost= 132.222562714\n",
      "Epoch: 0268 cost= 132.407111719\n",
      "Epoch: 0269 cost= 132.131034865\n",
      "Epoch: 0270 cost= 132.166971990\n",
      "Epoch: 0271 cost= 132.098905348\n",
      "Epoch: 0272 cost= 132.385158775\n",
      "Epoch: 0273 cost= 132.019536493\n",
      "Epoch: 0274 cost= 132.235830467\n",
      "Epoch: 0275 cost= 132.091736547\n",
      "Epoch: 0276 cost= 132.133421867\n",
      "Epoch: 0277 cost= 132.205221710\n",
      "Epoch: 0278 cost= 131.937021318\n",
      "Epoch: 0279 cost= 131.993936670\n",
      "Epoch: 0280 cost= 131.874711054\n",
      "Epoch: 0281 cost= 132.024312453\n",
      "Epoch: 0282 cost= 132.032984772\n",
      "Epoch: 0283 cost= 132.190861511\n",
      "Epoch: 0284 cost= 131.990101415\n",
      "Epoch: 0285 cost= 131.808553120\n",
      "Epoch: 0286 cost= 132.034114643\n",
      "Epoch: 0287 cost= 131.986130635\n",
      "Epoch: 0288 cost= 131.794148698\n",
      "Epoch: 0289 cost= 131.868065546\n",
      "Epoch: 0290 cost= 132.024278398\n",
      "Epoch: 0291 cost= 132.043811174\n",
      "Epoch: 0292 cost= 132.137075390\n",
      "Epoch: 0293 cost= 131.983969671\n",
      "Epoch: 0294 cost= 131.925696245\n",
      "Epoch: 0295 cost= 131.906866413\n",
      "Epoch: 0296 cost= 131.602960829\n",
      "Epoch: 0297 cost= 131.855412168\n",
      "Epoch: 0298 cost= 131.831291559\n",
      "Epoch: 0299 cost= 131.967490470\n",
      "Epoch: 0300 cost= 131.792222956\n",
      "Epoch: 0301 cost= 131.806446963\n",
      "Epoch: 0302 cost= 131.711043660\n",
      "Epoch: 0303 cost= 131.796781672\n",
      "Epoch: 0304 cost= 131.786911233\n",
      "Epoch: 0305 cost= 131.763828236\n",
      "Epoch: 0306 cost= 131.731999734\n",
      "Epoch: 0307 cost= 131.725838207\n",
      "Epoch: 0308 cost= 131.902050504\n",
      "Epoch: 0309 cost= 131.754234050\n",
      "Epoch: 0310 cost= 131.700683413\n",
      "Epoch: 0311 cost= 131.842496463\n",
      "Epoch: 0312 cost= 131.539801608\n",
      "Epoch: 0313 cost= 131.740449982\n",
      "Epoch: 0314 cost= 131.807033997\n",
      "Epoch: 0315 cost= 131.657870470\n",
      "Epoch: 0316 cost= 131.628603113\n",
      "Epoch: 0317 cost= 131.675124026\n",
      "Epoch: 0318 cost= 131.695651855\n",
      "Epoch: 0319 cost= 131.571898485\n",
      "Epoch: 0320 cost= 131.635415927\n",
      "Epoch: 0321 cost= 131.441363747\n",
      "Epoch: 0322 cost= 131.711938171\n",
      "Epoch: 0323 cost= 131.845769792\n",
      "Epoch: 0324 cost= 131.395991821\n",
      "Epoch: 0325 cost= 131.634582825\n",
      "Epoch: 0326 cost= 131.376499481\n",
      "Epoch: 0327 cost= 131.635009363\n",
      "Epoch: 0328 cost= 131.231298190\n",
      "Epoch: 0329 cost= 131.717461229\n",
      "Epoch: 0330 cost= 131.429469632\n",
      "Epoch: 0331 cost= 131.509302729\n",
      "Epoch: 0332 cost= 131.449790192\n",
      "Epoch: 0333 cost= 131.602815427\n",
      "Epoch: 0334 cost= 131.429718670\n",
      "Epoch: 0335 cost= 131.395475048\n",
      "Epoch: 0336 cost= 131.422578180\n",
      "Epoch: 0337 cost= 131.350035026\n",
      "Epoch: 0338 cost= 131.396130551\n",
      "Epoch: 0339 cost= 131.599782562\n",
      "Epoch: 0340 cost= 131.510934226\n",
      "Epoch: 0341 cost= 131.443786593\n",
      "Epoch: 0342 cost= 131.434443900\n",
      "Epoch: 0343 cost= 131.457350589\n",
      "Epoch: 0344 cost= 131.591457686\n",
      "Epoch: 0345 cost= 131.140811324\n",
      "Epoch: 0346 cost= 131.449429030\n",
      "Epoch: 0347 cost= 131.387509544\n",
      "Epoch: 0348 cost= 131.395820368\n",
      "Epoch: 0349 cost= 131.388804654\n",
      "Epoch: 0350 cost= 131.187959026\n",
      "Epoch: 0351 cost= 131.464961659\n",
      "Epoch: 0352 cost= 131.267488584\n",
      "Epoch: 0353 cost= 131.309279036\n",
      "Epoch: 0354 cost= 131.347062877\n",
      "Epoch: 0355 cost= 131.021394348\n",
      "Epoch: 0356 cost= 131.233955494\n",
      "Epoch: 0357 cost= 131.276637157\n",
      "Epoch: 0358 cost= 131.288210283\n",
      "Epoch: 0359 cost= 131.071995322\n",
      "Epoch: 0360 cost= 131.235185103\n",
      "Epoch: 0361 cost= 131.224926910\n",
      "Epoch: 0362 cost= 131.244422011\n",
      "Epoch: 0363 cost= 131.190353407\n",
      "Epoch: 0364 cost= 131.208946436\n",
      "Epoch: 0365 cost= 131.139134424\n",
      "Epoch: 0366 cost= 131.298726127\n",
      "Epoch: 0367 cost= 131.038469391\n",
      "Epoch: 0368 cost= 130.911325365\n",
      "Epoch: 0369 cost= 131.274581313\n",
      "Epoch: 0370 cost= 131.192459550\n",
      "Epoch: 0371 cost= 131.308269098\n",
      "Epoch: 0372 cost= 130.815644004\n",
      "Epoch: 0373 cost= 131.260397963\n",
      "Epoch: 0374 cost= 131.020299613\n",
      "Epoch: 0375 cost= 131.137060325\n",
      "Epoch: 0376 cost= 131.014653417\n",
      "Epoch: 0377 cost= 131.305612321\n",
      "Epoch: 0378 cost= 131.010031683\n",
      "Epoch: 0379 cost= 131.170928719\n",
      "Epoch: 0380 cost= 131.024765930\n",
      "Epoch: 0381 cost= 131.170398005\n",
      "Epoch: 0382 cost= 131.115317424\n",
      "Epoch: 0383 cost= 130.833149331\n",
      "Epoch: 0384 cost= 131.133985859\n",
      "Epoch: 0385 cost= 131.192937400\n",
      "Epoch: 0386 cost= 131.035854978\n",
      "Epoch: 0387 cost= 131.241907418\n",
      "Epoch: 0388 cost= 130.740800351\n",
      "Epoch: 0389 cost= 130.959164637\n",
      "Epoch: 0390 cost= 131.214322107\n",
      "Epoch: 0391 cost= 130.755119629\n",
      "Epoch: 0392 cost= 131.032608365\n",
      "Epoch: 0393 cost= 130.944505587\n",
      "Epoch: 0394 cost= 130.986932082\n",
      "Epoch: 0395 cost= 130.797384935\n",
      "Epoch: 0396 cost= 131.037309723\n",
      "Epoch: 0397 cost= 130.980420449\n",
      "Epoch: 0398 cost= 130.906442469\n",
      "Epoch: 0399 cost= 130.810874121\n",
      "Epoch: 0400 cost= 131.107517645\n",
      "Epoch: 0401 cost= 131.046383445\n",
      "Epoch: 0402 cost= 130.897660980\n",
      "Epoch: 0403 cost= 131.085120156\n",
      "Epoch: 0404 cost= 130.794401814\n",
      "Epoch: 0405 cost= 130.884111176\n",
      "Epoch: 0406 cost= 130.849147561\n",
      "Epoch: 0407 cost= 130.942257926\n",
      "Epoch: 0408 cost= 130.875032557\n",
      "Epoch: 0409 cost= 130.912495519\n",
      "Epoch: 0410 cost= 130.958846158\n",
      "Epoch: 0411 cost= 130.767323456\n",
      "Epoch: 0412 cost= 130.922145941\n",
      "Epoch: 0413 cost= 130.862048492\n",
      "Epoch: 0414 cost= 130.826141135\n",
      "Epoch: 0415 cost= 130.810837777\n",
      "Epoch: 0416 cost= 130.968422963\n",
      "Epoch: 0417 cost= 130.759744388\n",
      "Epoch: 0418 cost= 130.861052718\n",
      "Epoch: 0419 cost= 130.810304884\n",
      "Epoch: 0420 cost= 130.926656661\n",
      "Epoch: 0421 cost= 130.718574815\n",
      "Epoch: 0422 cost= 130.695868933\n",
      "Epoch: 0423 cost= 130.693563482\n",
      "Epoch: 0424 cost= 130.785790045\n",
      "Epoch: 0425 cost= 130.728809745\n",
      "Epoch: 0426 cost= 130.880680819\n",
      "Epoch: 0427 cost= 130.867094227\n",
      "Epoch: 0428 cost= 130.775823378\n",
      "Epoch: 0429 cost= 130.689989860\n",
      "Epoch: 0430 cost= 130.753919664\n",
      "Epoch: 0431 cost= 130.669963545\n",
      "Epoch: 0432 cost= 130.748058361\n",
      "Epoch: 0433 cost= 130.639868969\n",
      "Epoch: 0434 cost= 130.754168618\n",
      "Epoch: 0435 cost= 130.690293898\n",
      "Epoch: 0436 cost= 130.687789653\n",
      "Epoch: 0437 cost= 130.500971055\n",
      "Epoch: 0438 cost= 130.868159637\n",
      "Epoch: 0439 cost= 130.769889027\n",
      "Epoch: 0440 cost= 130.562307656\n",
      "Epoch: 0441 cost= 130.678096064\n",
      "Epoch: 0442 cost= 130.652090884\n",
      "Epoch: 0443 cost= 130.901036335\n",
      "Epoch: 0444 cost= 130.635217660\n",
      "Epoch: 0445 cost= 130.541039373\n",
      "Epoch: 0446 cost= 130.638336515\n",
      "Epoch: 0447 cost= 130.673559626\n",
      "Epoch: 0448 cost= 130.620692333\n",
      "Epoch: 0449 cost= 130.642184462\n",
      "Epoch: 0450 cost= 130.613032615\n",
      "Epoch: 0451 cost= 130.563164035\n",
      "Epoch: 0452 cost= 130.598079862\n",
      "Epoch: 0453 cost= 130.549902524\n",
      "Epoch: 0454 cost= 130.635778226\n",
      "Epoch: 0455 cost= 130.661302657\n",
      "Epoch: 0456 cost= 130.518786316\n",
      "Epoch: 0457 cost= 130.521789620\n",
      "Epoch: 0458 cost= 130.557965338\n",
      "Epoch: 0459 cost= 130.335104148\n",
      "Epoch: 0460 cost= 130.829477276\n",
      "Epoch: 0461 cost= 130.574790303\n",
      "Epoch: 0462 cost= 130.566207775\n",
      "Epoch: 0463 cost= 130.530066376\n",
      "Epoch: 0464 cost= 130.496780423\n",
      "Epoch: 0465 cost= 130.761562514\n",
      "Epoch: 0466 cost= 130.647375780\n",
      "Epoch: 0467 cost= 130.297080286\n",
      "Epoch: 0468 cost= 130.601536546\n",
      "Epoch: 0469 cost= 130.518560222\n",
      "Epoch: 0470 cost= 130.638719857\n",
      "Epoch: 0471 cost= 130.498481695\n",
      "Epoch: 0472 cost= 130.355151797\n",
      "Epoch: 0473 cost= 130.467175931\n",
      "Epoch: 0474 cost= 130.461477203\n",
      "Epoch: 0475 cost= 130.879994867\n",
      "Epoch: 0476 cost= 130.391147142\n",
      "Epoch: 0477 cost= 130.376645258\n",
      "Epoch: 0478 cost= 130.453968700\n",
      "Epoch: 0479 cost= 130.423555534\n",
      "Epoch: 0480 cost= 130.459971466\n",
      "Epoch: 0481 cost= 130.286069738\n",
      "Epoch: 0482 cost= 130.633362371\n",
      "Epoch: 0483 cost= 130.298830525\n",
      "Epoch: 0484 cost= 130.470557223\n",
      "Epoch: 0485 cost= 130.389244315\n",
      "Epoch: 0486 cost= 130.394606406\n",
      "Epoch: 0487 cost= 130.457121041\n",
      "Epoch: 0488 cost= 130.405203552\n",
      "Epoch: 0489 cost= 130.446542025\n",
      "Epoch: 0490 cost= 130.372654710\n",
      "Epoch: 0491 cost= 130.297337133\n",
      "Epoch: 0492 cost= 130.359365761\n",
      "Epoch: 0493 cost= 130.379708932\n",
      "Epoch: 0494 cost= 130.436906905\n",
      "Epoch: 0495 cost= 130.430645752\n",
      "Epoch: 0496 cost= 130.353454756\n",
      "Epoch: 0497 cost= 130.370558791\n",
      "Epoch: 0498 cost= 130.446695057\n",
      "Epoch: 0499 cost= 130.127617895\n",
      "Epoch: 0500 cost= 130.312468789\n",
      "Epoch: 0501 cost= 130.351656147\n",
      "Epoch: 0502 cost= 130.309074624\n",
      "Epoch: 0503 cost= 130.296720470\n",
      "Epoch: 0504 cost= 130.409902455\n",
      "Epoch: 0505 cost= 130.566955164\n",
      "Epoch: 0506 cost= 130.095994249\n",
      "Epoch: 0507 cost= 130.311089686\n",
      "Epoch: 0508 cost= 130.027166623\n",
      "Epoch: 0509 cost= 130.261120689\n",
      "Epoch: 0510 cost= 130.406069197\n",
      "Epoch: 0511 cost= 130.278059831\n",
      "Epoch: 0512 cost= 130.179282532\n",
      "Epoch: 0513 cost= 130.234311579\n",
      "Epoch: 0514 cost= 130.219963726\n",
      "Epoch: 0515 cost= 130.019916507\n",
      "Epoch: 0516 cost= 130.301442455\n",
      "Epoch: 0517 cost= 130.472588043\n",
      "Epoch: 0518 cost= 130.226034560\n",
      "Epoch: 0519 cost= 130.150743686\n",
      "Epoch: 0520 cost= 130.288874096\n",
      "Epoch: 0521 cost= 130.261415544\n",
      "Epoch: 0522 cost= 130.179263361\n",
      "Epoch: 0523 cost= 130.256939503\n",
      "Epoch: 0524 cost= 130.223821786\n",
      "Epoch: 0525 cost= 130.101946508\n",
      "Epoch: 0526 cost= 130.189748272\n",
      "Epoch: 0527 cost= 130.284628504\n",
      "Epoch: 0528 cost= 130.140979170\n",
      "Epoch: 0529 cost= 130.168655576\n",
      "Epoch: 0530 cost= 130.206805781\n",
      "Epoch: 0531 cost= 130.346101463\n",
      "Epoch: 0532 cost= 129.915286865\n",
      "Epoch: 0533 cost= 130.398994487\n",
      "Epoch: 0534 cost= 130.131308358\n",
      "Epoch: 0535 cost= 130.099514826\n",
      "Epoch: 0536 cost= 130.035051131\n",
      "Epoch: 0537 cost= 130.214392645\n",
      "Epoch: 0538 cost= 130.130854256\n",
      "Epoch: 0539 cost= 129.976303170\n",
      "Epoch: 0540 cost= 130.099896809\n",
      "Epoch: 0541 cost= 130.302224967\n",
      "Epoch: 0542 cost= 129.969414645\n",
      "Epoch: 0543 cost= 130.211206734\n",
      "Epoch: 0544 cost= 130.081403864\n",
      "Epoch: 0545 cost= 130.070518882\n",
      "Epoch: 0546 cost= 129.992168010\n",
      "Epoch: 0547 cost= 130.274361558\n",
      "Epoch: 0548 cost= 130.119637437\n",
      "Epoch: 0549 cost= 130.060604428\n",
      "Epoch: 0550 cost= 130.074671894\n",
      "Epoch: 0551 cost= 130.052241142\n",
      "Epoch: 0552 cost= 130.210253684\n",
      "Epoch: 0553 cost= 130.008277824\n",
      "Epoch: 0554 cost= 130.241740043\n",
      "Epoch: 0555 cost= 129.914833693\n",
      "Epoch: 0556 cost= 130.142924319\n",
      "Epoch: 0557 cost= 129.997403176\n",
      "Epoch: 0558 cost= 130.018445573\n",
      "Epoch: 0559 cost= 129.971415599\n",
      "Epoch: 0560 cost= 129.848655409\n",
      "Epoch: 0561 cost= 130.076459073\n",
      "Epoch: 0562 cost= 130.026559296\n",
      "Epoch: 0563 cost= 129.983847157\n",
      "Epoch: 0564 cost= 129.869688721\n",
      "Epoch: 0565 cost= 130.086690743\n",
      "Epoch: 0566 cost= 130.064625660\n",
      "Epoch: 0567 cost= 130.079323564\n",
      "Epoch: 0568 cost= 129.914706754\n",
      "Epoch: 0569 cost= 130.079368841\n",
      "Epoch: 0570 cost= 129.900621754\n",
      "Epoch: 0571 cost= 129.859403617\n",
      "Epoch: 0572 cost= 130.168000336\n",
      "Epoch: 0573 cost= 129.965368916\n",
      "Epoch: 0574 cost= 130.024385293\n",
      "Epoch: 0575 cost= 130.108717332\n",
      "Epoch: 0576 cost= 130.005202609\n",
      "Epoch: 0577 cost= 130.049267176\n",
      "Epoch: 0578 cost= 130.011982242\n",
      "Epoch: 0579 cost= 129.962143111\n",
      "Epoch: 0580 cost= 130.008259971\n",
      "Epoch: 0581 cost= 129.937547150\n",
      "Epoch: 0582 cost= 130.108646032\n",
      "Epoch: 0583 cost= 129.838352328\n",
      "Epoch: 0584 cost= 129.926454301\n",
      "Epoch: 0585 cost= 129.785307992\n",
      "Epoch: 0586 cost= 130.131393294\n",
      "Epoch: 0587 cost= 129.822856390\n",
      "Epoch: 0588 cost= 129.848681030\n",
      "Epoch: 0589 cost= 129.939492742\n",
      "Epoch: 0590 cost= 129.869905909\n",
      "Epoch: 0591 cost= 130.048377491\n",
      "Epoch: 0592 cost= 129.692291565\n",
      "Epoch: 0593 cost= 130.006321494\n",
      "Epoch: 0594 cost= 129.976510176\n",
      "Epoch: 0595 cost= 129.880229381\n",
      "Epoch: 0596 cost= 129.769106320\n",
      "Epoch: 0597 cost= 129.752882954\n",
      "Epoch: 0598 cost= 130.037172116\n",
      "Epoch: 0599 cost= 129.951764485\n",
      "Epoch: 0600 cost= 129.696995725\n",
      "Epoch: 0601 cost= 129.998261233\n",
      "Epoch: 0602 cost= 129.859377927\n",
      "Epoch: 0603 cost= 129.780471261\n",
      "Epoch: 0604 cost= 129.856495112\n",
      "Epoch: 0605 cost= 129.749404699\n",
      "Epoch: 0606 cost= 129.807015103\n",
      "Epoch: 0607 cost= 129.800816373\n",
      "Epoch: 0608 cost= 129.669607849\n",
      "Epoch: 0609 cost= 129.769591286\n",
      "Epoch: 0610 cost= 129.798631994\n",
      "Epoch: 0611 cost= 129.614169825\n",
      "Epoch: 0612 cost= 129.682647247\n",
      "Epoch: 0613 cost= 129.955392720\n",
      "Epoch: 0614 cost= 129.735816165\n",
      "Epoch: 0615 cost= 129.678649805\n",
      "Epoch: 0616 cost= 129.861638877\n",
      "Epoch: 0617 cost= 129.798086700\n",
      "Epoch: 0618 cost= 129.716166146\n",
      "Epoch: 0619 cost= 129.811979606\n",
      "Epoch: 0620 cost= 129.945879378\n",
      "Epoch: 0621 cost= 129.489181380\n",
      "Epoch: 0622 cost= 129.794579537\n",
      "Epoch: 0623 cost= 129.845867767\n",
      "Epoch: 0624 cost= 129.733148332\n",
      "Epoch: 0625 cost= 129.753411671\n",
      "Epoch: 0626 cost= 129.898996152\n",
      "Epoch: 0627 cost= 129.699669578\n",
      "Epoch: 0628 cost= 129.739135465\n",
      "Epoch: 0629 cost= 129.766780659\n",
      "Epoch: 0630 cost= 129.841111339\n",
      "Epoch: 0631 cost= 129.475806052\n",
      "Epoch: 0632 cost= 129.890331851\n",
      "Epoch: 0633 cost= 129.522576932\n",
      "Epoch: 0634 cost= 129.718362357\n",
      "Epoch: 0635 cost= 129.702039490\n",
      "Epoch: 0636 cost= 129.721278257\n",
      "Epoch: 0637 cost= 129.734985684\n",
      "Epoch: 0638 cost= 129.680321406\n",
      "Epoch: 0639 cost= 129.682838523\n",
      "Epoch: 0640 cost= 129.543428359\n",
      "Epoch: 0641 cost= 129.900958238\n",
      "Epoch: 0642 cost= 129.713604292\n",
      "Epoch: 0643 cost= 129.758358779\n",
      "Epoch: 0644 cost= 129.542094796\n",
      "Epoch: 0645 cost= 129.683086520\n",
      "Epoch: 0646 cost= 129.692503815\n",
      "Epoch: 0647 cost= 129.744864294\n",
      "Epoch: 0648 cost= 129.488783361\n",
      "Epoch: 0649 cost= 129.764060669\n",
      "Epoch: 0650 cost= 129.644741752\n",
      "Epoch: 0651 cost= 129.591229193\n",
      "Epoch: 0652 cost= 129.555703957\n",
      "Epoch: 0653 cost= 129.571398232\n",
      "Epoch: 0654 cost= 129.642754031\n",
      "Epoch: 0655 cost= 129.612161033\n",
      "Epoch: 0656 cost= 129.675176392\n",
      "Epoch: 0657 cost= 129.565611850\n",
      "Epoch: 0658 cost= 129.679348422\n",
      "Epoch: 0659 cost= 129.394452334\n",
      "Epoch: 0660 cost= 129.483535198\n",
      "Epoch: 0661 cost= 129.655955131\n",
      "Epoch: 0662 cost= 129.538493541\n",
      "Epoch: 0663 cost= 129.735027924\n",
      "Epoch: 0664 cost= 129.486274081\n",
      "Epoch: 0665 cost= 129.493892795\n",
      "Epoch: 0666 cost= 129.518934520\n",
      "Epoch: 0667 cost= 129.549169561\n",
      "Epoch: 0668 cost= 129.647354653\n",
      "Epoch: 0669 cost= 129.504236575\n",
      "Epoch: 0670 cost= 129.529018374\n",
      "Epoch: 0671 cost= 129.738313557\n",
      "Epoch: 0672 cost= 129.558975095\n",
      "Epoch: 0673 cost= 129.518973999\n",
      "Epoch: 0674 cost= 129.593318648\n",
      "Epoch: 0675 cost= 129.560036926\n",
      "Epoch: 0676 cost= 129.642919201\n",
      "Epoch: 0677 cost= 129.530991364\n",
      "Epoch: 0678 cost= 129.488267392\n",
      "Epoch: 0679 cost= 129.593209339\n",
      "Epoch: 0680 cost= 129.278147847\n",
      "Epoch: 0681 cost= 129.536843178\n",
      "Epoch: 0682 cost= 129.511815227\n",
      "Epoch: 0683 cost= 129.550645988\n",
      "Epoch: 0684 cost= 129.509668038\n",
      "Epoch: 0685 cost= 129.483550803\n",
      "Epoch: 0686 cost= 129.470721935\n",
      "Epoch: 0687 cost= 129.377889058\n",
      "Epoch: 0688 cost= 129.474427421\n",
      "Epoch: 0689 cost= 129.481102947\n",
      "Epoch: 0690 cost= 129.461100381\n",
      "Epoch: 0691 cost= 129.590432517\n",
      "Epoch: 0692 cost= 129.330865035\n",
      "Epoch: 0693 cost= 129.514697765\n",
      "Epoch: 0694 cost= 129.510530867\n",
      "Epoch: 0695 cost= 129.564237116\n",
      "Epoch: 0696 cost= 129.480575201\n",
      "Epoch: 0697 cost= 129.325210571\n",
      "Epoch: 0698 cost= 129.363287090\n",
      "Epoch: 0699 cost= 129.626512035\n",
      "Epoch: 0700 cost= 129.512178109\n",
      "Epoch: 0701 cost= 129.462894426\n",
      "Epoch: 0702 cost= 129.333613795\n",
      "Epoch: 0703 cost= 129.477513511\n",
      "Epoch: 0704 cost= 129.517717424\n",
      "Epoch: 0705 cost= 129.497798198\n",
      "Epoch: 0706 cost= 129.304062777\n",
      "Epoch: 0707 cost= 129.614560588\n",
      "Epoch: 0708 cost= 129.314069699\n",
      "Epoch: 0709 cost= 129.469435938\n",
      "Epoch: 0710 cost= 129.512615870\n",
      "Epoch: 0711 cost= 129.425950595\n",
      "Epoch: 0712 cost= 129.443607233\n",
      "Epoch: 0713 cost= 129.137439298\n",
      "Epoch: 0714 cost= 129.310480763\n",
      "Epoch: 0715 cost= 129.450140450\n",
      "Epoch: 0716 cost= 129.385553755\n",
      "Epoch: 0717 cost= 129.335590460\n",
      "Epoch: 0718 cost= 129.373836545\n",
      "Epoch: 0719 cost= 129.458774261\n",
      "Epoch: 0720 cost= 129.368751998\n",
      "Epoch: 0721 cost= 129.484451516\n",
      "Epoch: 0722 cost= 129.488189697\n",
      "Epoch: 0723 cost= 129.279805769\n",
      "Epoch: 0724 cost= 129.465657695\n",
      "Epoch: 0725 cost= 129.289271185\n",
      "Epoch: 0726 cost= 129.203644381\n",
      "Epoch: 0727 cost= 129.372657526\n",
      "Epoch: 0728 cost= 129.492382771\n",
      "Epoch: 0729 cost= 129.202070465\n",
      "Epoch: 0730 cost= 129.412987685\n",
      "Epoch: 0731 cost= 129.375018879\n",
      "Epoch: 0732 cost= 129.291164149\n",
      "Epoch: 0733 cost= 129.314118333\n",
      "Epoch: 0734 cost= 129.367339061\n",
      "Epoch: 0735 cost= 129.448401961\n",
      "Epoch: 0736 cost= 129.486208122\n",
      "Epoch: 0737 cost= 129.246663153\n",
      "Epoch: 0738 cost= 129.340918024\n",
      "Epoch: 0739 cost= 129.224424993\n",
      "Epoch: 0740 cost= 129.249199746\n",
      "Epoch: 0741 cost= 129.543219549\n",
      "Epoch: 0742 cost= 128.869653625\n",
      "Epoch: 0743 cost= 129.435028714\n",
      "Epoch: 0744 cost= 129.252533084\n",
      "Epoch: 0745 cost= 129.281775540\n",
      "Epoch: 0746 cost= 129.398434088\n",
      "Epoch: 0747 cost= 129.377398917\n",
      "Epoch: 0748 cost= 129.356828572\n",
      "Epoch: 0749 cost= 129.316791659\n",
      "Epoch: 0750 cost= 129.307526758\n",
      "Epoch: 0751 cost= 129.153410201\n",
      "Epoch: 0752 cost= 129.384375194\n",
      "Epoch: 0753 cost= 129.464162944\n",
      "Epoch: 0754 cost= 129.221186884\n",
      "Epoch: 0755 cost= 129.265110543\n",
      "Epoch: 0756 cost= 129.304516255\n",
      "Epoch: 0757 cost= 129.334359783\n",
      "Epoch: 0758 cost= 129.225618245\n",
      "Epoch: 0759 cost= 129.373723450\n",
      "Epoch: 0760 cost= 129.285381054\n",
      "Epoch: 0761 cost= 129.115000430\n",
      "Epoch: 0762 cost= 129.384416490\n",
      "Epoch: 0763 cost= 129.324558549\n",
      "Epoch: 0764 cost= 129.362331252\n",
      "Epoch: 0765 cost= 129.363663996\n",
      "Epoch: 0766 cost= 129.363474787\n",
      "Epoch: 0767 cost= 129.339121482\n",
      "Epoch: 0768 cost= 129.094785586\n",
      "Epoch: 0769 cost= 129.385288266\n",
      "Epoch: 0770 cost= 129.388397078\n",
      "Epoch: 0771 cost= 129.281592837\n",
      "Epoch: 0772 cost= 129.186963931\n",
      "Epoch: 0773 cost= 129.316844566\n",
      "Epoch: 0774 cost= 129.241855857\n",
      "Epoch: 0775 cost= 129.147805731\n",
      "Epoch: 0776 cost= 129.239475874\n",
      "Epoch: 0777 cost= 129.200867490\n",
      "Epoch: 0778 cost= 129.474189564\n",
      "Epoch: 0779 cost= 128.945509852\n",
      "Epoch: 0780 cost= 129.349655373\n",
      "Epoch: 0781 cost= 129.136785611\n",
      "Epoch: 0782 cost= 129.217889571\n",
      "Epoch: 0783 cost= 129.131682670\n",
      "Epoch: 0784 cost= 129.120208033\n",
      "Epoch: 0785 cost= 129.084271074\n",
      "Epoch: 0786 cost= 129.342364502\n",
      "Epoch: 0787 cost= 129.234262723\n",
      "Epoch: 0788 cost= 129.183878645\n",
      "Epoch: 0789 cost= 128.911369657\n",
      "Epoch: 0790 cost= 129.255277322\n",
      "Epoch: 0791 cost= 129.510666032\n",
      "Epoch: 0792 cost= 129.013816279\n",
      "Epoch: 0793 cost= 129.199040347\n",
      "Epoch: 0794 cost= 129.172547552\n",
      "Epoch: 0795 cost= 129.104455594\n",
      "Epoch: 0796 cost= 129.289636425\n",
      "Epoch: 0797 cost= 129.080716303\n",
      "Epoch: 0798 cost= 129.295266113\n",
      "Epoch: 0799 cost= 129.238242118\n",
      "Epoch: 0800 cost= 129.010923573\n",
      "Epoch: 0801 cost= 129.359798986\n",
      "Epoch: 0802 cost= 129.007560050\n",
      "Epoch: 0803 cost= 129.134337408\n",
      "Epoch: 0804 cost= 129.174857455\n",
      "Epoch: 0805 cost= 129.130761733\n",
      "Epoch: 0806 cost= 129.115402457\n",
      "Epoch: 0807 cost= 129.278933452\n",
      "Epoch: 0808 cost= 129.098062758\n",
      "Epoch: 0809 cost= 129.131843955\n",
      "Epoch: 0810 cost= 129.148449873\n",
      "Epoch: 0811 cost= 129.149092130\n",
      "Epoch: 0812 cost= 129.257559093\n",
      "Epoch: 0813 cost= 129.044392839\n",
      "Epoch: 0814 cost= 129.233026650\n",
      "Epoch: 0815 cost= 129.116099826\n",
      "Epoch: 0816 cost= 129.149240861\n",
      "Epoch: 0817 cost= 129.213875164\n",
      "Epoch: 0818 cost= 129.024532457\n",
      "Epoch: 0819 cost= 129.199098844\n",
      "Epoch: 0820 cost= 129.092087305\n",
      "Epoch: 0821 cost= 129.038356046\n",
      "Epoch: 0822 cost= 129.072794925\n",
      "Epoch: 0823 cost= 129.258927557\n",
      "Epoch: 0824 cost= 129.038891948\n",
      "Epoch: 0825 cost= 129.137404147\n",
      "Epoch: 0826 cost= 129.107418171\n",
      "Epoch: 0827 cost= 129.099475902\n",
      "Epoch: 0828 cost= 129.034182476\n",
      "Epoch: 0829 cost= 129.306526406\n",
      "Epoch: 0830 cost= 128.841074177\n",
      "Epoch: 0831 cost= 129.190823753\n",
      "Epoch: 0832 cost= 129.062483090\n",
      "Epoch: 0833 cost= 128.889633373\n",
      "Epoch: 0834 cost= 129.269590856\n",
      "Epoch: 0835 cost= 129.429040624\n",
      "Epoch: 0836 cost= 129.093785192\n",
      "Epoch: 0837 cost= 129.052810516\n",
      "Epoch: 0838 cost= 129.142241294\n",
      "Epoch: 0839 cost= 129.041580283\n",
      "Epoch: 0840 cost= 128.969374986\n",
      "Epoch: 0841 cost= 128.858943787\n",
      "Epoch: 0842 cost= 129.025535278\n",
      "Epoch: 0843 cost= 129.265302388\n",
      "Epoch: 0844 cost= 128.864786585\n",
      "Epoch: 0845 cost= 129.013136042\n",
      "Epoch: 0846 cost= 129.039119762\n",
      "Epoch: 0847 cost= 129.068939805\n",
      "Epoch: 0848 cost= 129.051542234\n",
      "Epoch: 0849 cost= 129.068923062\n",
      "Epoch: 0850 cost= 128.809810250\n",
      "Epoch: 0851 cost= 129.274041082\n",
      "Epoch: 0852 cost= 129.005988450\n",
      "Epoch: 0853 cost= 129.138311171\n",
      "Epoch: 0854 cost= 129.015594788\n",
      "Epoch: 0855 cost= 129.032445526\n",
      "Epoch: 0856 cost= 128.934950270\n",
      "Epoch: 0857 cost= 129.012269398\n",
      "Epoch: 0858 cost= 129.165404427\n",
      "Epoch: 0859 cost= 129.016754178\n",
      "Epoch: 0860 cost= 128.936008398\n",
      "Epoch: 0861 cost= 129.217804676\n",
      "Epoch: 0862 cost= 128.843604944\n",
      "Epoch: 0863 cost= 129.070340118\n",
      "Epoch: 0864 cost= 128.953665452\n",
      "Epoch: 0865 cost= 128.878972057\n",
      "Epoch: 0866 cost= 128.989112826\n",
      "Epoch: 0867 cost= 129.224559867\n",
      "Epoch: 0868 cost= 128.807743960\n",
      "Epoch: 0869 cost= 129.008162786\n",
      "Epoch: 0870 cost= 128.971330275\n",
      "Epoch: 0871 cost= 129.088894404\n",
      "Epoch: 0872 cost= 129.021990856\n",
      "Epoch: 0873 cost= 128.872321306\n",
      "Epoch: 0874 cost= 129.146239083\n",
      "Epoch: 0875 cost= 129.057222443\n",
      "Epoch: 0876 cost= 128.960757876\n",
      "Epoch: 0877 cost= 129.222966919\n",
      "Epoch: 0878 cost= 128.895450814\n",
      "Epoch: 0879 cost= 128.895491347\n",
      "Epoch: 0880 cost= 128.783705000\n",
      "Epoch: 0881 cost= 128.929014005\n",
      "Epoch: 0882 cost= 128.709671756\n",
      "Epoch: 0883 cost= 129.056442552\n",
      "Epoch: 0884 cost= 128.944631181\n",
      "Epoch: 0885 cost= 128.847222387\n",
      "Epoch: 0886 cost= 128.938869504\n",
      "Epoch: 0887 cost= 128.853323239\n",
      "Epoch: 0888 cost= 129.052788571\n",
      "Epoch: 0889 cost= 128.965107574\n",
      "Epoch: 0890 cost= 128.810179235\n",
      "Epoch: 0891 cost= 129.001930487\n",
      "Epoch: 0892 cost= 128.905685439\n",
      "Epoch: 0893 cost= 129.045967574\n",
      "Epoch: 0894 cost= 128.983864982\n",
      "Epoch: 0895 cost= 129.076831582\n",
      "Epoch: 0896 cost= 128.833429080\n",
      "Epoch: 0897 cost= 128.947895688\n",
      "Epoch: 0898 cost= 128.859769329\n",
      "Epoch: 0899 cost= 128.866226127\n",
      "Epoch: 0900 cost= 128.716396512\n",
      "Epoch: 0901 cost= 129.081919861\n",
      "Epoch: 0902 cost= 128.959891288\n",
      "Epoch: 0903 cost= 128.891209079\n",
      "Epoch: 0904 cost= 128.740936349\n",
      "Epoch: 0905 cost= 128.833278198\n",
      "Epoch: 0906 cost= 128.844478566\n",
      "Epoch: 0907 cost= 129.071011172\n",
      "Epoch: 0908 cost= 128.872004963\n",
      "Epoch: 0909 cost= 128.914542014\n",
      "Epoch: 0910 cost= 128.671822024\n",
      "Epoch: 0911 cost= 129.014789401\n",
      "Epoch: 0912 cost= 128.677494937\n",
      "Epoch: 0913 cost= 128.874128626\n",
      "Epoch: 0914 cost= 128.838026567\n",
      "Epoch: 0915 cost= 128.832074599\n",
      "Epoch: 0916 cost= 128.965410281\n",
      "Epoch: 0917 cost= 128.683846741\n",
      "Epoch: 0918 cost= 128.830450134\n",
      "Epoch: 0919 cost= 128.717544819\n",
      "Epoch: 0920 cost= 128.959154427\n",
      "Epoch: 0921 cost= 128.716909554\n",
      "Epoch: 0922 cost= 128.881910289\n",
      "Epoch: 0923 cost= 128.779305531\n",
      "Epoch: 0924 cost= 128.919375721\n",
      "Epoch: 0925 cost= 128.851599856\n",
      "Epoch: 0926 cost= 128.923807331\n",
      "Epoch: 0927 cost= 128.971126237\n",
      "Epoch: 0928 cost= 128.657787073\n",
      "Epoch: 0929 cost= 129.115651439\n",
      "Epoch: 0930 cost= 128.850379181\n",
      "Epoch: 0931 cost= 128.653931913\n",
      "Epoch: 0932 cost= 128.555413055\n",
      "Epoch: 0933 cost= 128.911490534\n",
      "Epoch: 0934 cost= 128.792690860\n",
      "Epoch: 0935 cost= 128.848749917\n",
      "Epoch: 0936 cost= 128.838385565\n",
      "Epoch: 0937 cost= 128.992380884\n",
      "Epoch: 0938 cost= 128.815175518\n",
      "Epoch: 0939 cost= 128.856060028\n",
      "Epoch: 0940 cost= 128.862999989\n",
      "Epoch: 0941 cost= 128.802563241\n",
      "Epoch: 0942 cost= 128.814167245\n",
      "Epoch: 0943 cost= 128.835240909\n",
      "Epoch: 0944 cost= 128.848979118\n",
      "Epoch: 0945 cost= 128.992386308\n",
      "Epoch: 0946 cost= 128.792409030\n",
      "Epoch: 0947 cost= 128.822725511\n",
      "Epoch: 0948 cost= 128.638324918\n",
      "Epoch: 0949 cost= 128.697944072\n",
      "Epoch: 0950 cost= 128.613918568\n",
      "Epoch: 0951 cost= 128.809894798\n",
      "Epoch: 0952 cost= 128.981112185\n",
      "Epoch: 0953 cost= 128.848979534\n",
      "Epoch: 0954 cost= 128.689335618\n",
      "Epoch: 0955 cost= 128.810112291\n",
      "Epoch: 0956 cost= 128.675317036\n",
      "Epoch: 0957 cost= 128.825436665\n",
      "Epoch: 0958 cost= 128.768156572\n",
      "Epoch: 0959 cost= 128.728051966\n",
      "Epoch: 0960 cost= 128.685654311\n",
      "Epoch: 0961 cost= 128.501559781\n",
      "Epoch: 0962 cost= 128.753880532\n",
      "Epoch: 0963 cost= 128.868677743\n",
      "Epoch: 0964 cost= 128.693880199\n",
      "Epoch: 0965 cost= 128.667102564\n",
      "Epoch: 0966 cost= 128.864450420\n",
      "Epoch: 0967 cost= 128.731220620\n",
      "Epoch: 0968 cost= 128.814867512\n",
      "Epoch: 0969 cost= 128.752424330\n",
      "Epoch: 0970 cost= 128.499297236\n",
      "Epoch: 0971 cost= 128.737708934\n",
      "Epoch: 0972 cost= 129.018643646\n",
      "Epoch: 0973 cost= 128.737530032\n",
      "Epoch: 0974 cost= 128.616056616\n",
      "Epoch: 0975 cost= 128.671953291\n",
      "Epoch: 0976 cost= 128.834029042\n",
      "Epoch: 0977 cost= 128.766463040\n",
      "Epoch: 0978 cost= 128.605549081\n",
      "Epoch: 0979 cost= 128.769947135\n",
      "Epoch: 0980 cost= 128.753679546\n",
      "Epoch: 0981 cost= 128.714936704\n",
      "Epoch: 0982 cost= 128.672039254\n",
      "Epoch: 0983 cost= 128.691970284\n",
      "Epoch: 0984 cost= 128.876799122\n",
      "Epoch: 0985 cost= 128.586964097\n",
      "Epoch: 0986 cost= 128.672882732\n",
      "Epoch: 0987 cost= 128.706127305\n",
      "Epoch: 0988 cost= 128.827610307\n",
      "Epoch: 0989 cost= 128.641502769\n",
      "Epoch: 0990 cost= 128.403694527\n",
      "Epoch: 0991 cost= 128.701759990\n",
      "Epoch: 0992 cost= 128.659391840\n",
      "Epoch: 0993 cost= 128.886680104\n",
      "Epoch: 0994 cost= 128.476400507\n",
      "Epoch: 0995 cost= 128.788482527\n",
      "Epoch: 0996 cost= 128.663425570\n",
      "Epoch: 0997 cost= 128.557325134\n",
      "Epoch: 0998 cost= 128.776679909\n",
      "Epoch: 0999 cost= 128.601659227\n",
      "Epoch: 1000 cost= 128.556760531\n",
      "Epoch: 0001 cost= 180.974349199\n",
      "Epoch: 0002 cost= 150.414937883\n",
      "Epoch: 0003 cost= 143.001715143\n",
      "Epoch: 0004 cost= 139.676520344\n",
      "Epoch: 0005 cost= 137.480211348\n",
      "Epoch: 0006 cost= 136.518294608\n",
      "Epoch: 0007 cost= 135.797041973\n",
      "Epoch: 0008 cost= 135.185869141\n",
      "Epoch: 0009 cost= 134.661887373\n",
      "Epoch: 0010 cost= 134.229426505\n",
      "Epoch: 0011 cost= 134.052652421\n",
      "Epoch: 0012 cost= 133.531550057\n",
      "Epoch: 0013 cost= 133.310720132\n",
      "Epoch: 0014 cost= 133.066922538\n",
      "Epoch: 0015 cost= 132.799912553\n",
      "Epoch: 0016 cost= 132.283898718\n",
      "Epoch: 0017 cost= 131.951779938\n",
      "Epoch: 0018 cost= 131.818537778\n",
      "Epoch: 0019 cost= 131.341897999\n",
      "Epoch: 0020 cost= 131.009434898\n",
      "Epoch: 0021 cost= 130.843960557\n",
      "Epoch: 0022 cost= 130.413536613\n",
      "Epoch: 0023 cost= 130.144153123\n",
      "Epoch: 0024 cost= 129.805599851\n",
      "Epoch: 0025 cost= 129.488046403\n",
      "Epoch: 0026 cost= 129.228583152\n",
      "Epoch: 0027 cost= 129.043637959\n",
      "Epoch: 0028 cost= 128.640622184\n",
      "Epoch: 0029 cost= 128.467723167\n",
      "Epoch: 0030 cost= 128.156783156\n",
      "Epoch: 0031 cost= 127.658829734\n",
      "Epoch: 0032 cost= 127.431615406\n",
      "Epoch: 0033 cost= 127.446807417\n",
      "Epoch: 0034 cost= 127.077372409\n",
      "Epoch: 0035 cost= 126.906527405\n",
      "Epoch: 0036 cost= 126.707370051\n",
      "Epoch: 0037 cost= 126.606024489\n",
      "Epoch: 0038 cost= 125.930499850\n",
      "Epoch: 0039 cost= 126.212489790\n",
      "Epoch: 0040 cost= 125.924109539\n",
      "Epoch: 0041 cost= 125.657587044\n",
      "Epoch: 0042 cost= 125.487847124\n",
      "Epoch: 0043 cost= 125.482048742\n",
      "Epoch: 0044 cost= 125.348663635\n",
      "Epoch: 0045 cost= 125.181222659\n",
      "Epoch: 0046 cost= 124.995124650\n",
      "Epoch: 0047 cost= 124.754952628\n",
      "Epoch: 0048 cost= 124.805524833\n",
      "Epoch: 0049 cost= 124.511578855\n",
      "Epoch: 0050 cost= 124.468098075\n",
      "Epoch: 0051 cost= 124.363268488\n",
      "Epoch: 0052 cost= 124.286793241\n",
      "Epoch: 0053 cost= 124.022188540\n",
      "Epoch: 0054 cost= 123.870460441\n",
      "Epoch: 0055 cost= 123.884758606\n",
      "Epoch: 0056 cost= 123.852386350\n",
      "Epoch: 0057 cost= 123.756966150\n",
      "Epoch: 0058 cost= 123.517039337\n",
      "Epoch: 0059 cost= 123.559034410\n",
      "Epoch: 0060 cost= 123.395861220\n",
      "Epoch: 0061 cost= 123.345446944\n",
      "Epoch: 0062 cost= 123.210261869\n",
      "Epoch: 0063 cost= 123.126410939\n",
      "Epoch: 0064 cost= 123.006253274\n",
      "Epoch: 0065 cost= 123.086588606\n",
      "Epoch: 0066 cost= 122.822651326\n",
      "Epoch: 0067 cost= 122.825607466\n",
      "Epoch: 0068 cost= 122.829242387\n",
      "Epoch: 0069 cost= 122.674998349\n",
      "Epoch: 0070 cost= 122.584590218\n",
      "Epoch: 0071 cost= 122.635075198\n",
      "Epoch: 0072 cost= 122.472634693\n",
      "Epoch: 0073 cost= 122.470951829\n",
      "Epoch: 0074 cost= 122.253936657\n",
      "Epoch: 0075 cost= 122.347378360\n",
      "Epoch: 0076 cost= 122.289170629\n",
      "Epoch: 0077 cost= 122.081263483\n",
      "Epoch: 0078 cost= 122.192874589\n",
      "Epoch: 0079 cost= 122.053754661\n",
      "Epoch: 0080 cost= 121.950660983\n",
      "Epoch: 0081 cost= 121.965068914\n",
      "Epoch: 0082 cost= 122.191443246\n",
      "Epoch: 0083 cost= 121.854902358\n",
      "Epoch: 0084 cost= 121.735857627\n",
      "Epoch: 0085 cost= 121.735962191\n",
      "Epoch: 0086 cost= 121.628140439\n",
      "Epoch: 0087 cost= 121.701473971\n",
      "Epoch: 0088 cost= 121.572988947\n",
      "Epoch: 0089 cost= 121.532157218\n",
      "Epoch: 0090 cost= 121.482481037\n",
      "Epoch: 0091 cost= 121.563050260\n",
      "Epoch: 0092 cost= 121.201978718\n",
      "Epoch: 0093 cost= 121.282111137\n",
      "Epoch: 0094 cost= 121.239726091\n",
      "Epoch: 0095 cost= 121.198099116\n",
      "Epoch: 0096 cost= 121.106266840\n",
      "Epoch: 0097 cost= 120.923605860\n",
      "Epoch: 0098 cost= 121.136252483\n",
      "Epoch: 0099 cost= 120.926229525\n",
      "Epoch: 0100 cost= 121.071262193\n",
      "Epoch: 0101 cost= 120.926432703\n",
      "Epoch: 0102 cost= 120.979517420\n",
      "Epoch: 0103 cost= 120.808677618\n",
      "Epoch: 0104 cost= 120.768993516\n",
      "Epoch: 0105 cost= 120.766263331\n",
      "Epoch: 0106 cost= 120.658935838\n",
      "Epoch: 0107 cost= 120.693993891\n",
      "Epoch: 0108 cost= 120.617106878\n",
      "Epoch: 0109 cost= 120.673329842\n",
      "Epoch: 0110 cost= 120.456530248\n",
      "Epoch: 0111 cost= 120.541539348\n",
      "Epoch: 0112 cost= 120.506889232\n",
      "Epoch: 0113 cost= 120.339337006\n",
      "Epoch: 0114 cost= 120.499029777\n",
      "Epoch: 0115 cost= 120.402466195\n",
      "Epoch: 0116 cost= 120.397775435\n",
      "Epoch: 0117 cost= 120.248242063\n",
      "Epoch: 0118 cost= 120.288751873\n",
      "Epoch: 0119 cost= 120.282333749\n",
      "Epoch: 0120 cost= 120.107786158\n",
      "Epoch: 0121 cost= 120.254804244\n",
      "Epoch: 0122 cost= 120.021619998\n",
      "Epoch: 0123 cost= 120.112821322\n",
      "Epoch: 0124 cost= 120.063558253\n",
      "Epoch: 0125 cost= 119.952174003\n",
      "Epoch: 0126 cost= 120.169657870\n",
      "Epoch: 0127 cost= 119.918973791\n",
      "Epoch: 0128 cost= 119.781720193\n",
      "Epoch: 0129 cost= 119.860541576\n",
      "Epoch: 0130 cost= 119.879908489\n",
      "Epoch: 0131 cost= 119.841399273\n",
      "Epoch: 0132 cost= 119.620030115\n",
      "Epoch: 0133 cost= 119.808560333\n",
      "Epoch: 0134 cost= 119.760380526\n",
      "Epoch: 0135 cost= 119.662960552\n",
      "Epoch: 0136 cost= 119.498513336\n",
      "Epoch: 0137 cost= 119.827644418\n",
      "Epoch: 0138 cost= 119.503165977\n",
      "Epoch: 0139 cost= 119.463828222\n",
      "Epoch: 0140 cost= 119.594756026\n",
      "Epoch: 0141 cost= 119.563423379\n",
      "Epoch: 0142 cost= 119.381456618\n",
      "Epoch: 0143 cost= 119.544297374\n",
      "Epoch: 0144 cost= 119.432924805\n",
      "Epoch: 0145 cost= 119.420426594\n",
      "Epoch: 0146 cost= 119.262600819\n",
      "Epoch: 0147 cost= 119.407023662\n",
      "Epoch: 0148 cost= 119.338690824\n",
      "Epoch: 0149 cost= 119.090564256\n",
      "Epoch: 0150 cost= 119.301871227\n",
      "Epoch: 0151 cost= 119.273495331\n",
      "Epoch: 0152 cost= 119.239435161\n",
      "Epoch: 0153 cost= 119.125159163\n",
      "Epoch: 0154 cost= 119.136021937\n",
      "Epoch: 0155 cost= 119.210115551\n",
      "Epoch: 0156 cost= 119.089515187\n",
      "Epoch: 0157 cost= 118.987511430\n",
      "Epoch: 0158 cost= 118.922095587\n",
      "Epoch: 0159 cost= 119.065408769\n",
      "Epoch: 0160 cost= 118.991342288\n",
      "Epoch: 0161 cost= 119.134306585\n",
      "Epoch: 0162 cost= 118.803787537\n",
      "Epoch: 0163 cost= 119.087561077\n",
      "Epoch: 0164 cost= 118.778250635\n",
      "Epoch: 0165 cost= 118.689416393\n",
      "Epoch: 0166 cost= 118.736111325\n",
      "Epoch: 0167 cost= 118.825339896\n",
      "Epoch: 0168 cost= 118.930601474\n",
      "Epoch: 0169 cost= 118.812071769\n",
      "Epoch: 0170 cost= 118.771185344\n",
      "Epoch: 0171 cost= 118.533977356\n",
      "Epoch: 0172 cost= 118.668221533\n",
      "Epoch: 0173 cost= 118.689791246\n",
      "Epoch: 0174 cost= 118.725622975\n",
      "Epoch: 0175 cost= 118.620753604\n",
      "Epoch: 0176 cost= 118.550777740\n",
      "Epoch: 0177 cost= 118.619699624\n",
      "Epoch: 0178 cost= 118.510426136\n",
      "Epoch: 0179 cost= 118.390077001\n",
      "Epoch: 0180 cost= 118.464801622\n",
      "Epoch: 0181 cost= 118.456326752\n",
      "Epoch: 0182 cost= 118.463541745\n",
      "Epoch: 0183 cost= 118.370359081\n",
      "Epoch: 0184 cost= 118.502995203\n",
      "Epoch: 0185 cost= 118.289484752\n",
      "Epoch: 0186 cost= 118.364065427\n",
      "Epoch: 0187 cost= 118.478282623\n",
      "Epoch: 0188 cost= 118.286870298\n",
      "Epoch: 0189 cost= 118.320788713\n",
      "Epoch: 0190 cost= 118.162191592\n",
      "Epoch: 0191 cost= 118.259715715\n",
      "Epoch: 0192 cost= 118.240090956\n",
      "Epoch: 0193 cost= 118.181962253\n",
      "Epoch: 0194 cost= 118.278995819\n",
      "Epoch: 0195 cost= 118.300250757\n",
      "Epoch: 0196 cost= 118.133053575\n",
      "Epoch: 0197 cost= 118.101558491\n",
      "Epoch: 0198 cost= 118.114216919\n",
      "Epoch: 0199 cost= 118.124065621\n",
      "Epoch: 0200 cost= 118.097504550\n",
      "Epoch: 0201 cost= 118.015450301\n",
      "Epoch: 0202 cost= 117.966598858\n",
      "Epoch: 0203 cost= 118.082409002\n",
      "Epoch: 0204 cost= 118.026630041\n",
      "Epoch: 0205 cost= 117.961894282\n",
      "Epoch: 0206 cost= 117.905369277\n",
      "Epoch: 0207 cost= 118.192008625\n",
      "Epoch: 0208 cost= 117.957694355\n",
      "Epoch: 0209 cost= 117.932410334\n",
      "Epoch: 0210 cost= 117.867158689\n",
      "Epoch: 0211 cost= 117.859127655\n",
      "Epoch: 0212 cost= 117.837978904\n",
      "Epoch: 0213 cost= 117.882411763\n",
      "Epoch: 0214 cost= 117.764949313\n",
      "Epoch: 0215 cost= 117.901924022\n",
      "Epoch: 0216 cost= 117.823793696\n",
      "Epoch: 0217 cost= 117.785143641\n",
      "Epoch: 0218 cost= 117.843285952\n",
      "Epoch: 0219 cost= 117.623193470\n",
      "Epoch: 0220 cost= 117.540697216\n",
      "Epoch: 0221 cost= 117.811839128\n",
      "Epoch: 0222 cost= 117.659395364\n",
      "Epoch: 0223 cost= 117.580725112\n",
      "Epoch: 0224 cost= 117.673349498\n",
      "Epoch: 0225 cost= 117.690121238\n",
      "Epoch: 0226 cost= 117.534235396\n",
      "Epoch: 0227 cost= 117.616461931\n",
      "Epoch: 0228 cost= 117.548267420\n",
      "Epoch: 0229 cost= 117.440218284\n",
      "Epoch: 0230 cost= 117.629841433\n",
      "Epoch: 0231 cost= 117.799725702\n",
      "Epoch: 0232 cost= 117.341410495\n",
      "Epoch: 0233 cost= 117.501056227\n",
      "Epoch: 0234 cost= 117.278145017\n",
      "Epoch: 0235 cost= 117.682733987\n",
      "Epoch: 0236 cost= 117.443073994\n",
      "Epoch: 0237 cost= 117.613511075\n",
      "Epoch: 0238 cost= 117.215316592\n",
      "Epoch: 0239 cost= 117.508630191\n",
      "Epoch: 0240 cost= 117.354419556\n",
      "Epoch: 0241 cost= 117.350264893\n",
      "Epoch: 0242 cost= 117.339768552\n",
      "Epoch: 0243 cost= 117.432695368\n",
      "Epoch: 0244 cost= 117.347717216\n",
      "Epoch: 0245 cost= 117.333413613\n",
      "Epoch: 0246 cost= 117.141701965\n",
      "Epoch: 0247 cost= 117.531061401\n",
      "Epoch: 0248 cost= 117.361359905\n",
      "Epoch: 0249 cost= 117.321943054\n",
      "Epoch: 0250 cost= 117.396133631\n",
      "Epoch: 0251 cost= 117.138194719\n",
      "Epoch: 0252 cost= 117.066408414\n",
      "Epoch: 0253 cost= 117.156008689\n",
      "Epoch: 0254 cost= 117.130626692\n",
      "Epoch: 0255 cost= 117.194452334\n",
      "Epoch: 0256 cost= 117.147876684\n",
      "Epoch: 0257 cost= 117.130469152\n",
      "Epoch: 0258 cost= 117.113590837\n",
      "Epoch: 0259 cost= 117.156283569\n",
      "Epoch: 0260 cost= 117.055562855\n",
      "Epoch: 0261 cost= 116.986241691\n",
      "Epoch: 0262 cost= 117.153139482\n",
      "Epoch: 0263 cost= 117.205303844\n",
      "Epoch: 0264 cost= 116.942485629\n",
      "Epoch: 0265 cost= 116.924292131\n",
      "Epoch: 0266 cost= 117.044236103\n",
      "Epoch: 0267 cost= 116.984069963\n",
      "Epoch: 0268 cost= 117.074563932\n",
      "Epoch: 0269 cost= 116.923840332\n",
      "Epoch: 0270 cost= 117.143662193\n",
      "Epoch: 0271 cost= 116.897303592\n",
      "Epoch: 0272 cost= 117.013236875\n",
      "Epoch: 0273 cost= 117.082057994\n",
      "Epoch: 0274 cost= 116.684003324\n",
      "Epoch: 0275 cost= 116.862265736\n",
      "Epoch: 0276 cost= 116.878983668\n",
      "Epoch: 0277 cost= 116.909840310\n",
      "Epoch: 0278 cost= 116.964950894\n",
      "Epoch: 0279 cost= 116.707851382\n",
      "Epoch: 0280 cost= 117.008098006\n",
      "Epoch: 0281 cost= 116.756270211\n",
      "Epoch: 0282 cost= 116.803304527\n",
      "Epoch: 0283 cost= 116.629644609\n",
      "Epoch: 0284 cost= 116.879903398\n",
      "Epoch: 0285 cost= 116.746024323\n",
      "Epoch: 0286 cost= 116.704901331\n",
      "Epoch: 0287 cost= 116.805887188\n",
      "Epoch: 0288 cost= 116.771519803\n",
      "Epoch: 0289 cost= 116.490428259\n",
      "Epoch: 0290 cost= 116.888684956\n",
      "Epoch: 0291 cost= 116.797079745\n",
      "Epoch: 0292 cost= 116.744395239\n",
      "Epoch: 0293 cost= 116.608765758\n",
      "Epoch: 0294 cost= 116.616928489\n",
      "Epoch: 0295 cost= 116.708729137\n",
      "Epoch: 0296 cost= 116.768563427\n",
      "Epoch: 0297 cost= 116.617870317\n",
      "Epoch: 0298 cost= 116.652406921\n",
      "Epoch: 0299 cost= 116.653833868\n",
      "Epoch: 0300 cost= 116.690823683\n",
      "Epoch: 0301 cost= 116.461770366\n",
      "Epoch: 0302 cost= 116.742563490\n",
      "Epoch: 0303 cost= 116.558945437\n",
      "Epoch: 0304 cost= 116.563933799\n",
      "Epoch: 0305 cost= 116.656977775\n",
      "Epoch: 0306 cost= 116.602491164\n",
      "Epoch: 0307 cost= 116.486985377\n",
      "Epoch: 0308 cost= 116.523674039\n",
      "Epoch: 0309 cost= 116.657067594\n",
      "Epoch: 0310 cost= 116.502052474\n",
      "Epoch: 0311 cost= 116.644103102\n",
      "Epoch: 0312 cost= 116.394823497\n",
      "Epoch: 0313 cost= 116.512839439\n",
      "Epoch: 0314 cost= 116.569542070\n",
      "Epoch: 0315 cost= 116.530543033\n",
      "Epoch: 0316 cost= 116.528493430\n",
      "Epoch: 0317 cost= 116.286485152\n",
      "Epoch: 0318 cost= 116.409291909\n",
      "Epoch: 0319 cost= 116.635645585\n",
      "Epoch: 0320 cost= 116.483899356\n",
      "Epoch: 0321 cost= 116.415981903\n",
      "Epoch: 0322 cost= 116.436268893\n",
      "Epoch: 0323 cost= 116.243241050\n",
      "Epoch: 0324 cost= 116.421507818\n",
      "Epoch: 0325 cost= 116.127880568\n",
      "Epoch: 0326 cost= 116.487418629\n",
      "Epoch: 0327 cost= 116.336594696\n",
      "Epoch: 0328 cost= 116.451657729\n",
      "Epoch: 0329 cost= 116.339596891\n",
      "Epoch: 0330 cost= 116.334268618\n",
      "Epoch: 0331 cost= 116.336427501\n",
      "Epoch: 0332 cost= 116.325736833\n",
      "Epoch: 0333 cost= 116.223272483\n",
      "Epoch: 0334 cost= 116.484407335\n",
      "Epoch: 0335 cost= 116.241212935\n",
      "Epoch: 0336 cost= 116.464153026\n",
      "Epoch: 0337 cost= 116.183944036\n",
      "Epoch: 0338 cost= 116.212490595\n",
      "Epoch: 0339 cost= 116.272812486\n",
      "Epoch: 0340 cost= 116.226275149\n",
      "Epoch: 0341 cost= 116.354220262\n",
      "Epoch: 0342 cost= 116.179751850\n",
      "Epoch: 0343 cost= 116.213633686\n",
      "Epoch: 0344 cost= 116.204248463\n",
      "Epoch: 0345 cost= 116.282506853\n",
      "Epoch: 0346 cost= 116.153882488\n",
      "Epoch: 0347 cost= 116.151818764\n",
      "Epoch: 0348 cost= 116.228502683\n",
      "Epoch: 0349 cost= 116.174919115\n",
      "Epoch: 0350 cost= 115.962777530\n",
      "Epoch: 0351 cost= 116.184482144\n",
      "Epoch: 0352 cost= 116.140032224\n",
      "Epoch: 0353 cost= 116.015913571\n",
      "Epoch: 0354 cost= 116.145391582\n",
      "Epoch: 0355 cost= 115.871251873\n",
      "Epoch: 0356 cost= 116.108883292\n",
      "Epoch: 0357 cost= 116.269296057\n",
      "Epoch: 0358 cost= 116.019006389\n",
      "Epoch: 0359 cost= 116.040027313\n",
      "Epoch: 0360 cost= 116.164272503\n",
      "Epoch: 0361 cost= 115.983812672\n",
      "Epoch: 0362 cost= 116.122098680\n",
      "Epoch: 0363 cost= 116.024462766\n",
      "Epoch: 0364 cost= 115.980169775\n",
      "Epoch: 0365 cost= 116.048683805\n",
      "Epoch: 0366 cost= 115.847072879\n",
      "Epoch: 0367 cost= 116.160759749\n",
      "Epoch: 0368 cost= 116.034627533\n",
      "Epoch: 0369 cost= 115.936687622\n",
      "Epoch: 0370 cost= 116.040460080\n",
      "Epoch: 0371 cost= 115.986197496\n",
      "Epoch: 0372 cost= 116.073159124\n",
      "Epoch: 0373 cost= 116.067026797\n",
      "Epoch: 0374 cost= 115.954653015\n",
      "Epoch: 0375 cost= 116.039907227\n",
      "Epoch: 0376 cost= 115.972076957\n",
      "Epoch: 0377 cost= 115.816109869\n",
      "Epoch: 0378 cost= 115.757021304\n",
      "Epoch: 0379 cost= 116.005530964\n",
      "Epoch: 0380 cost= 116.009926591\n",
      "Epoch: 0381 cost= 115.924388969\n",
      "Epoch: 0382 cost= 115.800429285\n",
      "Epoch: 0383 cost= 115.772409765\n",
      "Epoch: 0384 cost= 115.804897225\n",
      "Epoch: 0385 cost= 115.987262102\n",
      "Epoch: 0386 cost= 115.748272497\n",
      "Epoch: 0387 cost= 115.891386968\n",
      "Epoch: 0388 cost= 115.962199624\n",
      "Epoch: 0389 cost= 115.788857505\n",
      "Epoch: 0390 cost= 115.924954889\n",
      "Epoch: 0391 cost= 115.687584118\n",
      "Epoch: 0392 cost= 115.825565921\n",
      "Epoch: 0393 cost= 115.889317350\n",
      "Epoch: 0394 cost= 115.679855971\n",
      "Epoch: 0395 cost= 115.715401584\n",
      "Epoch: 0396 cost= 115.780521532\n",
      "Epoch: 0397 cost= 115.892829548\n",
      "Epoch: 0398 cost= 115.796221549\n",
      "Epoch: 0399 cost= 115.713332589\n",
      "Epoch: 0400 cost= 115.619213146\n",
      "Epoch: 0401 cost= 115.974997434\n",
      "Epoch: 0402 cost= 115.725126218\n",
      "Epoch: 0403 cost= 115.712564947\n",
      "Epoch: 0404 cost= 115.772431460\n",
      "Epoch: 0405 cost= 115.739846719\n",
      "Epoch: 0406 cost= 115.639882050\n",
      "Epoch: 0407 cost= 115.602101191\n",
      "Epoch: 0408 cost= 115.685427426\n",
      "Epoch: 0409 cost= 115.716291532\n",
      "Epoch: 0410 cost= 115.558816723\n",
      "Epoch: 0411 cost= 115.611941251\n",
      "Epoch: 0412 cost= 115.768498008\n",
      "Epoch: 0413 cost= 115.626128304\n",
      "Epoch: 0414 cost= 115.640790821\n",
      "Epoch: 0415 cost= 115.708468656\n",
      "Epoch: 0416 cost= 115.596991536\n",
      "Epoch: 0417 cost= 115.651392059\n",
      "Epoch: 0418 cost= 115.752390012\n",
      "Epoch: 0419 cost= 115.652063377\n",
      "Epoch: 0420 cost= 115.630428758\n",
      "Epoch: 0421 cost= 115.481607513\n",
      "Epoch: 0422 cost= 115.758171997\n",
      "Epoch: 0423 cost= 115.576666135\n",
      "Epoch: 0424 cost= 115.577875796\n",
      "Epoch: 0425 cost= 115.697906036\n",
      "Epoch: 0426 cost= 115.572922211\n",
      "Epoch: 0427 cost= 115.600933186\n",
      "Epoch: 0428 cost= 115.536596069\n",
      "Epoch: 0429 cost= 115.847251129\n",
      "Epoch: 0430 cost= 115.487884383\n",
      "Epoch: 0431 cost= 115.552665072\n",
      "Epoch: 0432 cost= 115.421006276\n",
      "Epoch: 0433 cost= 115.621596111\n",
      "Epoch: 0434 cost= 115.514688929\n",
      "Epoch: 0435 cost= 115.567143152\n",
      "Epoch: 0436 cost= 115.589972645\n",
      "Epoch: 0437 cost= 115.485422349\n",
      "Epoch: 0438 cost= 115.443049594\n",
      "Epoch: 0439 cost= 115.383888578\n",
      "Epoch: 0440 cost= 115.536898748\n",
      "Epoch: 0441 cost= 115.474242984\n",
      "Epoch: 0442 cost= 115.509348034\n",
      "Epoch: 0443 cost= 115.532558316\n",
      "Epoch: 0444 cost= 115.506000117\n",
      "Epoch: 0445 cost= 115.354035284\n",
      "Epoch: 0446 cost= 115.597234081\n",
      "Epoch: 0447 cost= 115.542818506\n",
      "Epoch: 0448 cost= 115.445152102\n",
      "Epoch: 0449 cost= 115.530703375\n",
      "Epoch: 0450 cost= 115.344569300\n",
      "Epoch: 0451 cost= 115.399638741\n",
      "Epoch: 0452 cost= 115.493111142\n",
      "Epoch: 0453 cost= 115.431811912\n",
      "Epoch: 0454 cost= 115.442828411\n",
      "Epoch: 0455 cost= 115.463817264\n",
      "Epoch: 0456 cost= 115.462536801\n",
      "Epoch: 0457 cost= 115.290678753\n",
      "Epoch: 0458 cost= 115.379600858\n",
      "Epoch: 0459 cost= 115.463919664\n",
      "Epoch: 0460 cost= 115.390360121\n",
      "Epoch: 0461 cost= 115.328400837\n",
      "Epoch: 0462 cost= 115.527473200\n",
      "Epoch: 0463 cost= 115.296951363\n",
      "Epoch: 0464 cost= 115.394399691\n",
      "Epoch: 0465 cost= 115.376729722\n",
      "Epoch: 0466 cost= 115.378877064\n",
      "Epoch: 0467 cost= 115.205532018\n",
      "Epoch: 0468 cost= 115.290064475\n",
      "Epoch: 0469 cost= 115.396724937\n",
      "Epoch: 0470 cost= 115.309319250\n",
      "Epoch: 0471 cost= 115.167269745\n",
      "Epoch: 0472 cost= 115.291383348\n",
      "Epoch: 0473 cost= 115.325873039\n",
      "Epoch: 0474 cost= 115.267284879\n",
      "Epoch: 0475 cost= 115.340597229\n",
      "Epoch: 0476 cost= 115.378429704\n",
      "Epoch: 0477 cost= 115.428052313\n",
      "Epoch: 0478 cost= 115.326494876\n",
      "Epoch: 0479 cost= 115.360182162\n",
      "Epoch: 0480 cost= 115.280925543\n",
      "Epoch: 0481 cost= 115.311502935\n",
      "Epoch: 0482 cost= 115.254179382\n",
      "Epoch: 0483 cost= 115.225165808\n",
      "Epoch: 0484 cost= 115.154204878\n",
      "Epoch: 0485 cost= 115.253701227\n",
      "Epoch: 0486 cost= 115.271789856\n",
      "Epoch: 0487 cost= 115.271099229\n",
      "Epoch: 0488 cost= 115.259646634\n",
      "Epoch: 0489 cost= 115.211227306\n",
      "Epoch: 0490 cost= 115.424778429\n",
      "Epoch: 0491 cost= 115.184902649\n",
      "Epoch: 0492 cost= 115.268161871\n",
      "Epoch: 0493 cost= 115.048366963\n",
      "Epoch: 0494 cost= 115.266032812\n",
      "Epoch: 0495 cost= 115.311008107\n",
      "Epoch: 0496 cost= 115.247482230\n",
      "Epoch: 0497 cost= 115.218162509\n",
      "Epoch: 0498 cost= 115.165839081\n",
      "Epoch: 0499 cost= 115.224110274\n",
      "Epoch: 0500 cost= 115.172720920\n",
      "Epoch: 0501 cost= 115.067641269\n",
      "Epoch: 0502 cost= 115.220506356\n",
      "Epoch: 0503 cost= 115.052971816\n",
      "Epoch: 0504 cost= 115.384582631\n",
      "Epoch: 0505 cost= 115.128745214\n",
      "Epoch: 0506 cost= 115.043737737\n",
      "Epoch: 0507 cost= 115.122208557\n",
      "Epoch: 0508 cost= 115.191892894\n",
      "Epoch: 0509 cost= 115.128460333\n",
      "Epoch: 0510 cost= 115.117029488\n",
      "Epoch: 0511 cost= 115.172649647\n",
      "Epoch: 0512 cost= 115.107595215\n",
      "Epoch: 0513 cost= 115.139627158\n",
      "Epoch: 0514 cost= 115.041329637\n",
      "Epoch: 0515 cost= 115.164730349\n",
      "Epoch: 0516 cost= 115.057278817\n",
      "Epoch: 0517 cost= 115.030014967\n",
      "Epoch: 0518 cost= 115.069213479\n",
      "Epoch: 0519 cost= 115.147828536\n",
      "Epoch: 0520 cost= 115.071405640\n",
      "Epoch: 0521 cost= 115.126651140\n",
      "Epoch: 0522 cost= 115.000951399\n",
      "Epoch: 0523 cost= 115.295150063\n",
      "Epoch: 0524 cost= 115.144210885\n",
      "Epoch: 0525 cost= 115.043309728\n",
      "Epoch: 0526 cost= 115.079138336\n",
      "Epoch: 0527 cost= 115.172729340\n",
      "Epoch: 0528 cost= 115.018337472\n",
      "Epoch: 0529 cost= 115.011865137\n",
      "Epoch: 0530 cost= 115.071949074\n",
      "Epoch: 0531 cost= 114.985277932\n",
      "Epoch: 0532 cost= 114.789389579\n",
      "Epoch: 0533 cost= 115.062382632\n",
      "Epoch: 0534 cost= 115.041670837\n",
      "Epoch: 0535 cost= 115.093297868\n",
      "Epoch: 0536 cost= 114.998723755\n",
      "Epoch: 0537 cost= 114.940648388\n",
      "Epoch: 0538 cost= 114.954227545\n",
      "Epoch: 0539 cost= 115.173590435\n",
      "Epoch: 0540 cost= 115.179074055\n",
      "Epoch: 0541 cost= 115.008656283\n",
      "Epoch: 0542 cost= 115.003093359\n",
      "Epoch: 0543 cost= 115.039182323\n",
      "Epoch: 0544 cost= 115.116860657\n",
      "Epoch: 0545 cost= 114.930629702\n",
      "Epoch: 0546 cost= 114.965068651\n",
      "Epoch: 0547 cost= 114.946773987\n",
      "Epoch: 0548 cost= 115.031226654\n",
      "Epoch: 0549 cost= 115.041649017\n",
      "Epoch: 0550 cost= 114.855914820\n",
      "Epoch: 0551 cost= 114.931176217\n",
      "Epoch: 0552 cost= 114.960044431\n",
      "Epoch: 0553 cost= 114.879717504\n",
      "Epoch: 0554 cost= 114.895277044\n",
      "Epoch: 0555 cost= 114.802953477\n",
      "Epoch: 0556 cost= 115.081668549\n",
      "Epoch: 0557 cost= 114.949558494\n",
      "Epoch: 0558 cost= 114.940038868\n",
      "Epoch: 0559 cost= 114.769848758\n",
      "Epoch: 0560 cost= 114.917254569\n",
      "Epoch: 0561 cost= 115.069559604\n",
      "Epoch: 0562 cost= 114.908805556\n",
      "Epoch: 0563 cost= 114.917796617\n",
      "Epoch: 0564 cost= 114.900016036\n",
      "Epoch: 0565 cost= 114.865025732\n",
      "Epoch: 0566 cost= 114.940327232\n",
      "Epoch: 0567 cost= 114.946689661\n",
      "Epoch: 0568 cost= 114.828650762\n",
      "Epoch: 0569 cost= 114.889002325\n",
      "Epoch: 0570 cost= 114.982030334\n",
      "Epoch: 0571 cost= 114.783906195\n",
      "Epoch: 0572 cost= 114.960834642\n",
      "Epoch: 0573 cost= 114.876780215\n",
      "Epoch: 0574 cost= 114.885908162\n",
      "Epoch: 0575 cost= 114.884073944\n",
      "Epoch: 0576 cost= 114.814343317\n",
      "Epoch: 0577 cost= 114.832513109\n",
      "Epoch: 0578 cost= 114.755920313\n",
      "Epoch: 0579 cost= 114.885910298\n",
      "Epoch: 0580 cost= 114.848192180\n",
      "Epoch: 0581 cost= 114.759812178\n",
      "Epoch: 0582 cost= 115.033133739\n",
      "Epoch: 0583 cost= 114.724668926\n",
      "Epoch: 0584 cost= 114.986360765\n",
      "Epoch: 0585 cost= 114.857820199\n",
      "Epoch: 0586 cost= 114.948989272\n",
      "Epoch: 0587 cost= 114.875578114\n",
      "Epoch: 0588 cost= 115.039453666\n",
      "Epoch: 0589 cost= 114.912517076\n",
      "Epoch: 0590 cost= 114.867116477\n",
      "Epoch: 0591 cost= 114.797765975\n",
      "Epoch: 0592 cost= 114.746249376\n",
      "Epoch: 0593 cost= 114.855073436\n",
      "Epoch: 0594 cost= 114.897245317\n",
      "Epoch: 0595 cost= 114.752059049\n",
      "Epoch: 0596 cost= 114.804136894\n",
      "Epoch: 0597 cost= 114.869462488\n",
      "Epoch: 0598 cost= 114.722345734\n",
      "Epoch: 0599 cost= 114.634566553\n",
      "Epoch: 0600 cost= 114.695720700\n",
      "Epoch: 0601 cost= 114.787355472\n",
      "Epoch: 0602 cost= 114.871957023\n",
      "Epoch: 0603 cost= 114.695750302\n",
      "Epoch: 0604 cost= 114.839925343\n",
      "Epoch: 0605 cost= 114.659671950\n",
      "Epoch: 0606 cost= 114.761830541\n",
      "Epoch: 0607 cost= 114.766071278\n",
      "Epoch: 0608 cost= 114.701832581\n",
      "Epoch: 0609 cost= 114.949114976\n",
      "Epoch: 0610 cost= 114.460987618\n",
      "Epoch: 0611 cost= 114.742811695\n",
      "Epoch: 0612 cost= 114.815055514\n",
      "Epoch: 0613 cost= 114.832418629\n",
      "Epoch: 0614 cost= 114.653102140\n",
      "Epoch: 0615 cost= 114.595640592\n",
      "Epoch: 0616 cost= 114.570475949\n",
      "Epoch: 0617 cost= 114.691845329\n",
      "Epoch: 0618 cost= 114.741102087\n",
      "Epoch: 0619 cost= 114.521383306\n",
      "Epoch: 0620 cost= 114.782112857\n",
      "Epoch: 0621 cost= 114.776065272\n",
      "Epoch: 0622 cost= 114.660393788\n",
      "Epoch: 0623 cost= 114.710082633\n",
      "Epoch: 0624 cost= 114.747142306\n",
      "Epoch: 0625 cost= 114.541135018\n",
      "Epoch: 0626 cost= 114.712245386\n",
      "Epoch: 0627 cost= 114.494326519\n",
      "Epoch: 0628 cost= 114.647175723\n",
      "Epoch: 0629 cost= 114.692806729\n",
      "Epoch: 0630 cost= 114.741566134\n",
      "Epoch: 0631 cost= 114.649419667\n",
      "Epoch: 0632 cost= 114.698171470\n",
      "Epoch: 0633 cost= 114.611240928\n",
      "Epoch: 0634 cost= 114.593116067\n",
      "Epoch: 0635 cost= 114.630739150\n",
      "Epoch: 0636 cost= 114.568945951\n",
      "Epoch: 0637 cost= 114.683367892\n",
      "Epoch: 0638 cost= 114.551503296\n",
      "Epoch: 0639 cost= 114.773425848\n",
      "Epoch: 0640 cost= 114.640673246\n",
      "Epoch: 0641 cost= 114.610258484\n",
      "Epoch: 0642 cost= 114.513778076\n",
      "Epoch: 0643 cost= 114.438730899\n",
      "Epoch: 0644 cost= 114.604133980\n",
      "Epoch: 0645 cost= 114.775067763\n",
      "Epoch: 0646 cost= 114.718117121\n",
      "Epoch: 0647 cost= 114.625824197\n",
      "Epoch: 0648 cost= 114.553077379\n",
      "Epoch: 0649 cost= 114.464632222\n",
      "Epoch: 0650 cost= 114.738308397\n",
      "Epoch: 0651 cost= 114.633891352\n",
      "Epoch: 0652 cost= 114.638640594\n",
      "Epoch: 0653 cost= 114.578246987\n",
      "Epoch: 0654 cost= 114.712728355\n",
      "Epoch: 0655 cost= 114.626478799\n",
      "Epoch: 0656 cost= 114.627809240\n",
      "Epoch: 0657 cost= 114.579299358\n",
      "Epoch: 0658 cost= 114.543137165\n",
      "Epoch: 0659 cost= 114.602916662\n",
      "Epoch: 0660 cost= 114.607866946\n",
      "Epoch: 0661 cost= 114.490941689\n",
      "Epoch: 0662 cost= 114.579069949\n",
      "Epoch: 0663 cost= 114.554462544\n",
      "Epoch: 0664 cost= 114.553219674\n",
      "Epoch: 0665 cost= 114.401746771\n",
      "Epoch: 0666 cost= 114.673994557\n",
      "Epoch: 0667 cost= 114.461025876\n",
      "Epoch: 0668 cost= 114.643054754\n",
      "Epoch: 0669 cost= 114.405810977\n",
      "Epoch: 0670 cost= 114.822904927\n",
      "Epoch: 0671 cost= 114.476912093\n",
      "Epoch: 0672 cost= 114.739935982\n",
      "Epoch: 0673 cost= 114.579577151\n",
      "Epoch: 0674 cost= 114.596277383\n",
      "Epoch: 0675 cost= 114.368593015\n",
      "Epoch: 0676 cost= 114.599980982\n",
      "Epoch: 0677 cost= 114.456446311\n",
      "Epoch: 0678 cost= 114.425725528\n",
      "Epoch: 0679 cost= 114.499717907\n",
      "Epoch: 0680 cost= 114.509023160\n",
      "Epoch: 0681 cost= 114.532839799\n",
      "Epoch: 0682 cost= 114.344037739\n",
      "Epoch: 0683 cost= 114.529339905\n",
      "Epoch: 0684 cost= 114.515255654\n",
      "Epoch: 0685 cost= 114.659071045\n",
      "Epoch: 0686 cost= 114.517532154\n",
      "Epoch: 0687 cost= 114.152270217\n",
      "Epoch: 0688 cost= 114.663765703\n",
      "Epoch: 0689 cost= 114.568566395\n",
      "Epoch: 0690 cost= 114.502468511\n",
      "Epoch: 0691 cost= 114.360582151\n",
      "Epoch: 0692 cost= 114.501619138\n",
      "Epoch: 0693 cost= 114.355064198\n",
      "Epoch: 0694 cost= 114.435096297\n",
      "Epoch: 0695 cost= 114.480983457\n",
      "Epoch: 0696 cost= 114.582953297\n",
      "Epoch: 0697 cost= 114.409268535\n",
      "Epoch: 0698 cost= 114.414727811\n",
      "Epoch: 0699 cost= 114.582879666\n",
      "Epoch: 0700 cost= 114.507250866\n",
      "Epoch: 0701 cost= 114.405510670\n",
      "Epoch: 0702 cost= 114.536307123\n",
      "Epoch: 0703 cost= 114.564357383\n",
      "Epoch: 0704 cost= 114.336857855\n",
      "Epoch: 0705 cost= 114.437787087\n",
      "Epoch: 0706 cost= 114.458430162\n",
      "Epoch: 0707 cost= 114.358936615\n",
      "Epoch: 0708 cost= 114.596785542\n",
      "Epoch: 0709 cost= 114.295008795\n",
      "Epoch: 0710 cost= 114.408797066\n",
      "Epoch: 0711 cost= 114.419362557\n",
      "Epoch: 0712 cost= 114.516782532\n",
      "Epoch: 0713 cost= 114.298247542\n",
      "Epoch: 0714 cost= 114.514714924\n",
      "Epoch: 0715 cost= 114.274845789\n",
      "Epoch: 0716 cost= 114.429297166\n",
      "Epoch: 0717 cost= 114.467520447\n",
      "Epoch: 0718 cost= 114.299706005\n",
      "Epoch: 0719 cost= 114.382157981\n",
      "Epoch: 0720 cost= 114.240433488\n",
      "Epoch: 0721 cost= 114.446598261\n",
      "Epoch: 0722 cost= 114.505360343\n",
      "Epoch: 0723 cost= 114.375761400\n",
      "Epoch: 0724 cost= 114.238500713\n",
      "Epoch: 0725 cost= 114.224532290\n",
      "Epoch: 0726 cost= 114.523311823\n",
      "Epoch: 0727 cost= 114.443195593\n",
      "Epoch: 0728 cost= 114.429740878\n",
      "Epoch: 0729 cost= 114.359206501\n",
      "Epoch: 0730 cost= 114.441448656\n",
      "Epoch: 0731 cost= 114.532927898\n",
      "Epoch: 0732 cost= 114.499032801\n",
      "Epoch: 0733 cost= 114.388717790\n",
      "Epoch: 0734 cost= 114.410054973\n",
      "Epoch: 0735 cost= 114.196691978\n",
      "Epoch: 0736 cost= 114.492962452\n",
      "Epoch: 0737 cost= 114.298929984\n",
      "Epoch: 0738 cost= 114.475575950\n",
      "Epoch: 0739 cost= 114.374345010\n",
      "Epoch: 0740 cost= 114.140612210\n",
      "Epoch: 0741 cost= 114.359774114\n",
      "Epoch: 0742 cost= 114.594047019\n",
      "Epoch: 0743 cost= 114.270763106\n",
      "Epoch: 0744 cost= 114.269568842\n",
      "Epoch: 0745 cost= 114.275782082\n",
      "Epoch: 0746 cost= 114.466659171\n",
      "Epoch: 0747 cost= 114.101487135\n",
      "Epoch: 0748 cost= 114.397068787\n",
      "Epoch: 0749 cost= 114.396899802\n",
      "Epoch: 0750 cost= 114.368812422\n",
      "Epoch: 0751 cost= 114.420213984\n",
      "Epoch: 0752 cost= 114.217348009\n",
      "Epoch: 0753 cost= 114.270615054\n",
      "Epoch: 0754 cost= 114.550472898\n",
      "Epoch: 0755 cost= 114.263522700\n",
      "Epoch: 0756 cost= 114.271215584\n",
      "Epoch: 0757 cost= 114.451719860\n",
      "Epoch: 0758 cost= 114.156457395\n",
      "Epoch: 0759 cost= 114.501898304\n",
      "Epoch: 0760 cost= 114.196374553\n",
      "Epoch: 0761 cost= 114.315281580\n",
      "Epoch: 0762 cost= 114.150235457\n",
      "Epoch: 0763 cost= 114.600536305\n",
      "Epoch: 0764 cost= 114.173656519\n",
      "Epoch: 0765 cost= 114.421408733\n",
      "Epoch: 0766 cost= 114.302479040\n",
      "Epoch: 0767 cost= 114.279950672\n",
      "Epoch: 0768 cost= 114.340891044\n",
      "Epoch: 0769 cost= 114.346637587\n",
      "Epoch: 0770 cost= 114.272408475\n",
      "Epoch: 0771 cost= 114.213580308\n",
      "Epoch: 0772 cost= 114.252665641\n",
      "Epoch: 0773 cost= 114.293329787\n",
      "Epoch: 0774 cost= 114.249578816\n",
      "Epoch: 0775 cost= 114.304713107\n",
      "Epoch: 0776 cost= 114.294569009\n",
      "Epoch: 0777 cost= 114.350478308\n",
      "Epoch: 0778 cost= 114.199929047\n",
      "Epoch: 0779 cost= 114.454617268\n",
      "Epoch: 0780 cost= 114.254114546\n",
      "Epoch: 0781 cost= 114.269025407\n",
      "Epoch: 0782 cost= 114.262076693\n",
      "Epoch: 0783 cost= 114.259095917\n",
      "Epoch: 0784 cost= 114.320178112\n",
      "Epoch: 0785 cost= 114.142950107\n",
      "Epoch: 0786 cost= 114.223924685\n",
      "Epoch: 0787 cost= 114.172894273\n",
      "Epoch: 0788 cost= 114.293276742\n",
      "Epoch: 0789 cost= 114.400415400\n",
      "Epoch: 0790 cost= 114.228372470\n",
      "Epoch: 0791 cost= 114.312554266\n",
      "Epoch: 0792 cost= 114.163486911\n",
      "Epoch: 0793 cost= 114.218866563\n",
      "Epoch: 0794 cost= 114.260741119\n",
      "Epoch: 0795 cost= 114.268297646\n",
      "Epoch: 0796 cost= 114.180218242\n",
      "Epoch: 0797 cost= 114.119717810\n",
      "Epoch: 0798 cost= 114.332492440\n",
      "Epoch: 0799 cost= 114.155745669\n",
      "Epoch: 0800 cost= 114.172989571\n",
      "Epoch: 0801 cost= 114.364781036\n",
      "Epoch: 0802 cost= 114.392604176\n",
      "Epoch: 0803 cost= 114.116611176\n",
      "Epoch: 0804 cost= 114.314198803\n",
      "Epoch: 0805 cost= 114.217470370\n",
      "Epoch: 0806 cost= 114.208684776\n",
      "Epoch: 0807 cost= 114.085390889\n",
      "Epoch: 0808 cost= 114.385474521\n",
      "Epoch: 0809 cost= 114.331389618\n",
      "Epoch: 0810 cost= 114.165394412\n",
      "Epoch: 0811 cost= 114.266290533\n",
      "Epoch: 0812 cost= 114.174475888\n",
      "Epoch: 0813 cost= 114.170123305\n",
      "Epoch: 0814 cost= 114.315013650\n",
      "Epoch: 0815 cost= 114.133383109\n",
      "Epoch: 0816 cost= 114.187387168\n",
      "Epoch: 0817 cost= 114.055501168\n",
      "Epoch: 0818 cost= 114.142525177\n",
      "Epoch: 0819 cost= 114.277951771\n",
      "Epoch: 0820 cost= 113.998804405\n",
      "Epoch: 0821 cost= 114.205967435\n",
      "Epoch: 0822 cost= 114.181140525\n",
      "Epoch: 0823 cost= 114.346584348\n",
      "Epoch: 0824 cost= 114.231844524\n",
      "Epoch: 0825 cost= 114.279307098\n",
      "Epoch: 0826 cost= 114.102553544\n",
      "Epoch: 0827 cost= 114.206610870\n",
      "Epoch: 0828 cost= 114.114649700\n",
      "Epoch: 0829 cost= 114.122978502\n",
      "Epoch: 0830 cost= 114.257433888\n",
      "Epoch: 0831 cost= 114.086944705\n",
      "Epoch: 0832 cost= 114.246450875\n",
      "Epoch: 0833 cost= 114.129890497\n",
      "Epoch: 0834 cost= 114.081896903\n",
      "Epoch: 0835 cost= 114.036435727\n",
      "Epoch: 0836 cost= 114.266340651\n",
      "Epoch: 0837 cost= 114.193485898\n",
      "Epoch: 0838 cost= 114.159845789\n",
      "Epoch: 0839 cost= 114.137577972\n",
      "Epoch: 0840 cost= 114.173947421\n",
      "Epoch: 0841 cost= 114.202218670\n",
      "Epoch: 0842 cost= 114.228731551\n",
      "Epoch: 0843 cost= 113.986727475\n",
      "Epoch: 0844 cost= 114.055024844\n",
      "Epoch: 0845 cost= 114.038481251\n",
      "Epoch: 0846 cost= 114.255232599\n",
      "Epoch: 0847 cost= 114.010328036\n",
      "Epoch: 0848 cost= 114.076521967\n",
      "Epoch: 0849 cost= 114.135509879\n",
      "Epoch: 0850 cost= 114.112796964\n",
      "Epoch: 0851 cost= 114.053772458\n",
      "Epoch: 0852 cost= 114.024163208\n",
      "Epoch: 0853 cost= 114.122135079\n",
      "Epoch: 0854 cost= 114.033401142\n",
      "Epoch: 0855 cost= 114.245271787\n",
      "Epoch: 0856 cost= 114.109992010\n",
      "Epoch: 0857 cost= 114.316324768\n",
      "Epoch: 0858 cost= 114.083884804\n",
      "Epoch: 0859 cost= 114.151040649\n",
      "Epoch: 0860 cost= 114.103194691\n",
      "Epoch: 0861 cost= 114.121455439\n",
      "Epoch: 0862 cost= 113.978963096\n",
      "Epoch: 0863 cost= 114.266971394\n",
      "Epoch: 0864 cost= 114.270093037\n",
      "Epoch: 0865 cost= 114.091242925\n",
      "Epoch: 0866 cost= 114.180278417\n",
      "Epoch: 0867 cost= 114.013374398\n",
      "Epoch: 0868 cost= 114.011383417\n",
      "Epoch: 0869 cost= 114.000128340\n",
      "Epoch: 0870 cost= 114.232423900\n",
      "Epoch: 0871 cost= 114.097665530\n",
      "Epoch: 0872 cost= 114.125169012\n",
      "Epoch: 0873 cost= 114.040617384\n",
      "Epoch: 0874 cost= 114.043754605\n",
      "Epoch: 0875 cost= 114.154297610\n",
      "Epoch: 0876 cost= 113.988652871\n",
      "Epoch: 0877 cost= 113.990405287\n",
      "Epoch: 0878 cost= 114.148755022\n",
      "Epoch: 0879 cost= 114.017485768\n",
      "Epoch: 0880 cost= 114.095417175\n",
      "Epoch: 0881 cost= 114.153481154\n",
      "Epoch: 0882 cost= 114.086482433\n",
      "Epoch: 0883 cost= 113.961598136\n",
      "Epoch: 0884 cost= 114.008913449\n",
      "Epoch: 0885 cost= 114.033490670\n",
      "Epoch: 0886 cost= 113.989757704\n",
      "Epoch: 0887 cost= 114.153626015\n",
      "Epoch: 0888 cost= 114.067989155\n",
      "Epoch: 0889 cost= 114.083878687\n",
      "Epoch: 0890 cost= 114.078323753\n",
      "Epoch: 0891 cost= 114.057966794\n",
      "Epoch: 0892 cost= 114.007321888\n",
      "Epoch: 0893 cost= 114.047262587\n",
      "Epoch: 0894 cost= 114.090061548\n",
      "Epoch: 0895 cost= 113.902578250\n",
      "Epoch: 0896 cost= 114.263021504\n",
      "Epoch: 0897 cost= 113.937488611\n",
      "Epoch: 0898 cost= 114.031633287\n",
      "Epoch: 0899 cost= 114.072201552\n",
      "Epoch: 0900 cost= 113.983815710\n",
      "Epoch: 0901 cost= 114.126496221\n",
      "Epoch: 0902 cost= 113.999680578\n",
      "Epoch: 0903 cost= 114.253433560\n",
      "Epoch: 0904 cost= 114.045775049\n",
      "Epoch: 0905 cost= 114.035930966\n",
      "Epoch: 0906 cost= 113.894417267\n",
      "Epoch: 0907 cost= 114.065286893\n",
      "Epoch: 0908 cost= 114.010831673\n",
      "Epoch: 0909 cost= 114.233685760\n",
      "Epoch: 0910 cost= 114.015763009\n",
      "Epoch: 0911 cost= 114.152846749\n",
      "Epoch: 0912 cost= 113.896662653\n",
      "Epoch: 0913 cost= 113.966230136\n",
      "Epoch: 0914 cost= 113.986391518\n",
      "Epoch: 0915 cost= 114.036813715\n",
      "Epoch: 0916 cost= 113.872169522\n",
      "Epoch: 0917 cost= 113.877095448\n",
      "Epoch: 0918 cost= 114.204141443\n",
      "Epoch: 0919 cost= 113.854694145\n",
      "Epoch: 0920 cost= 114.120132918\n",
      "Epoch: 0921 cost= 114.078206995\n",
      "Epoch: 0922 cost= 113.945602861\n",
      "Epoch: 0923 cost= 114.100559318\n",
      "Epoch: 0924 cost= 113.876066492\n",
      "Epoch: 0925 cost= 113.863489435\n",
      "Epoch: 0926 cost= 114.001896501\n",
      "Epoch: 0927 cost= 114.016531774\n",
      "Epoch: 0928 cost= 114.041206124\n",
      "Epoch: 0929 cost= 114.013484497\n",
      "Epoch: 0930 cost= 114.077009763\n",
      "Epoch: 0931 cost= 113.852568748\n",
      "Epoch: 0932 cost= 113.951699011\n",
      "Epoch: 0933 cost= 113.854447562\n",
      "Epoch: 0934 cost= 113.936910206\n",
      "Epoch: 0935 cost= 114.247362810\n",
      "Epoch: 0936 cost= 113.964904480\n",
      "Epoch: 0937 cost= 113.999200703\n",
      "Epoch: 0938 cost= 113.859477484\n",
      "Epoch: 0939 cost= 114.254977528\n",
      "Epoch: 0940 cost= 113.762095947\n",
      "Epoch: 0941 cost= 114.023729165\n",
      "Epoch: 0942 cost= 113.965272050\n",
      "Epoch: 0943 cost= 113.989690677\n",
      "Epoch: 0944 cost= 113.892030626\n",
      "Epoch: 0945 cost= 114.103129633\n",
      "Epoch: 0946 cost= 114.066891105\n",
      "Epoch: 0947 cost= 113.964603979\n",
      "Epoch: 0948 cost= 113.990086240\n",
      "Epoch: 0949 cost= 113.845192358\n",
      "Epoch: 0950 cost= 114.135578641\n",
      "Epoch: 0951 cost= 113.883777230\n",
      "Epoch: 0952 cost= 114.011012587\n",
      "Epoch: 0953 cost= 113.987276431\n",
      "Epoch: 0954 cost= 113.922216880\n",
      "Epoch: 0955 cost= 113.929373516\n",
      "Epoch: 0956 cost= 114.062195573\n",
      "Epoch: 0957 cost= 113.864735121\n",
      "Epoch: 0958 cost= 114.018761860\n",
      "Epoch: 0959 cost= 113.950212028\n",
      "Epoch: 0960 cost= 113.954065371\n",
      "Epoch: 0961 cost= 114.079565610\n",
      "Epoch: 0962 cost= 113.898342715\n",
      "Epoch: 0963 cost= 113.859560047\n",
      "Epoch: 0964 cost= 114.040401292\n",
      "Epoch: 0965 cost= 113.955122500\n",
      "Epoch: 0966 cost= 114.016099756\n",
      "Epoch: 0967 cost= 113.868180098\n",
      "Epoch: 0968 cost= 113.887795341\n",
      "Epoch: 0969 cost= 113.996666884\n",
      "Epoch: 0970 cost= 113.934965252\n",
      "Epoch: 0971 cost= 113.870308533\n",
      "Epoch: 0972 cost= 114.105995539\n",
      "Epoch: 0973 cost= 113.653500866\n",
      "Epoch: 0974 cost= 113.819453416\n",
      "Epoch: 0975 cost= 113.957280967\n",
      "Epoch: 0976 cost= 113.914509139\n",
      "Epoch: 0977 cost= 113.981682795\n",
      "Epoch: 0978 cost= 113.787214827\n",
      "Epoch: 0979 cost= 113.818900715\n",
      "Epoch: 0980 cost= 114.007414218\n",
      "Epoch: 0981 cost= 113.900579654\n",
      "Epoch: 0982 cost= 113.807048659\n",
      "Epoch: 0983 cost= 113.910063421\n",
      "Epoch: 0984 cost= 113.973440205\n",
      "Epoch: 0985 cost= 113.830635251\n",
      "Epoch: 0986 cost= 113.972934667\n",
      "Epoch: 0987 cost= 113.981619720\n",
      "Epoch: 0988 cost= 113.838562178\n",
      "Epoch: 0989 cost= 113.569485543\n",
      "Epoch: 0990 cost= 114.109607461\n",
      "Epoch: 0991 cost= 113.978609550\n",
      "Epoch: 0992 cost= 113.887894343\n",
      "Epoch: 0993 cost= 113.926096289\n",
      "Epoch: 0994 cost= 113.862137909\n",
      "Epoch: 0995 cost= 113.829494379\n",
      "Epoch: 0996 cost= 113.910006658\n",
      "Epoch: 0997 cost= 113.824647106\n",
      "Epoch: 0998 cost= 113.888743106\n",
      "Epoch: 0999 cost= 113.960565962\n",
      "Epoch: 1000 cost= 113.830448761\n",
      "Epoch: 0001 cost= 172.431227445\n",
      "Epoch: 0002 cost= 134.188273149\n",
      "Epoch: 0003 cost= 127.555308977\n",
      "Epoch: 0004 cost= 123.396483973\n",
      "Epoch: 0005 cost= 120.851044963\n",
      "Epoch: 0006 cost= 119.301947895\n",
      "Epoch: 0007 cost= 117.863663968\n",
      "Epoch: 0008 cost= 117.085109308\n",
      "Epoch: 0009 cost= 116.174871618\n",
      "Epoch: 0010 cost= 115.566209509\n",
      "Epoch: 0011 cost= 115.123815100\n",
      "Epoch: 0012 cost= 114.551874542\n",
      "Epoch: 0013 cost= 114.128029008\n",
      "Epoch: 0014 cost= 113.766559434\n",
      "Epoch: 0015 cost= 113.284215005\n",
      "Epoch: 0016 cost= 112.943236653\n",
      "Epoch: 0017 cost= 112.951710136\n",
      "Epoch: 0018 cost= 112.558542064\n",
      "Epoch: 0019 cost= 112.358780115\n",
      "Epoch: 0020 cost= 112.119918726\n",
      "Epoch: 0021 cost= 111.874624551\n",
      "Epoch: 0022 cost= 111.600658861\n",
      "Epoch: 0023 cost= 111.301688538\n",
      "Epoch: 0024 cost= 111.368854953\n",
      "Epoch: 0025 cost= 111.077695188\n",
      "Epoch: 0026 cost= 110.848879547\n",
      "Epoch: 0027 cost= 110.673597162\n",
      "Epoch: 0028 cost= 110.444319181\n",
      "Epoch: 0029 cost= 110.346375538\n",
      "Epoch: 0030 cost= 110.376761960\n",
      "Epoch: 0031 cost= 110.104025074\n",
      "Epoch: 0032 cost= 110.016269087\n",
      "Epoch: 0033 cost= 109.880777588\n",
      "Epoch: 0034 cost= 109.658690976\n",
      "Epoch: 0035 cost= 109.563054823\n",
      "Epoch: 0036 cost= 109.468922161\n",
      "Epoch: 0037 cost= 109.245223375\n",
      "Epoch: 0038 cost= 109.314196333\n",
      "Epoch: 0039 cost= 109.039980621\n",
      "Epoch: 0040 cost= 108.947273684\n",
      "Epoch: 0041 cost= 108.978579656\n",
      "Epoch: 0042 cost= 108.770285964\n",
      "Epoch: 0043 cost= 108.653641704\n",
      "Epoch: 0044 cost= 108.522429990\n",
      "Epoch: 0045 cost= 108.519930781\n",
      "Epoch: 0046 cost= 108.465033583\n",
      "Epoch: 0047 cost= 108.346790536\n",
      "Epoch: 0048 cost= 108.201086897\n",
      "Epoch: 0049 cost= 108.072586184\n",
      "Epoch: 0050 cost= 108.177057232\n",
      "Epoch: 0051 cost= 108.037462019\n",
      "Epoch: 0052 cost= 107.875141255\n",
      "Epoch: 0053 cost= 107.948176228\n",
      "Epoch: 0054 cost= 107.686585360\n",
      "Epoch: 0055 cost= 107.657964672\n",
      "Epoch: 0056 cost= 107.687412428\n",
      "Epoch: 0057 cost= 107.484454998\n",
      "Epoch: 0058 cost= 107.551012532\n",
      "Epoch: 0059 cost= 107.385202068\n",
      "Epoch: 0060 cost= 107.275183591\n",
      "Epoch: 0061 cost= 107.257117712\n",
      "Epoch: 0062 cost= 107.342399306\n",
      "Epoch: 0063 cost= 107.152391524\n",
      "Epoch: 0064 cost= 107.089025810\n",
      "Epoch: 0065 cost= 107.142586947\n",
      "Epoch: 0066 cost= 106.864148532\n",
      "Epoch: 0067 cost= 106.971120453\n",
      "Epoch: 0068 cost= 106.887361963\n",
      "Epoch: 0069 cost= 106.866180101\n",
      "Epoch: 0070 cost= 106.747512276\n",
      "Epoch: 0071 cost= 106.645014621\n",
      "Epoch: 0072 cost= 106.671937949\n",
      "Epoch: 0073 cost= 106.743900479\n",
      "Epoch: 0074 cost= 106.619305933\n",
      "Epoch: 0075 cost= 106.482140101\n",
      "Epoch: 0076 cost= 106.477512027\n",
      "Epoch: 0077 cost= 106.302236800\n",
      "Epoch: 0078 cost= 106.335272078\n",
      "Epoch: 0079 cost= 106.351294348\n",
      "Epoch: 0080 cost= 106.304536896\n",
      "Epoch: 0081 cost= 106.084324951\n",
      "Epoch: 0082 cost= 106.270965604\n",
      "Epoch: 0083 cost= 106.056521690\n",
      "Epoch: 0084 cost= 106.038504569\n",
      "Epoch: 0085 cost= 106.147723139\n",
      "Epoch: 0086 cost= 106.154640378\n",
      "Epoch: 0087 cost= 106.033029522\n",
      "Epoch: 0088 cost= 105.840516260\n",
      "Epoch: 0089 cost= 106.065194522\n",
      "Epoch: 0090 cost= 105.830891710\n",
      "Epoch: 0091 cost= 105.862091661\n",
      "Epoch: 0092 cost= 105.885024567\n",
      "Epoch: 0093 cost= 105.814118874\n",
      "Epoch: 0094 cost= 105.661703769\n",
      "Epoch: 0095 cost= 105.753546337\n",
      "Epoch: 0096 cost= 105.695174463\n",
      "Epoch: 0097 cost= 105.594361961\n",
      "Epoch: 0098 cost= 105.642215854\n",
      "Epoch: 0099 cost= 105.628182012\n",
      "Epoch: 0100 cost= 105.486204099\n",
      "Epoch: 0101 cost= 105.656765511\n",
      "Epoch: 0102 cost= 105.503455589\n",
      "Epoch: 0103 cost= 105.591050193\n",
      "Epoch: 0104 cost= 105.310760124\n",
      "Epoch: 0105 cost= 105.452264432\n",
      "Epoch: 0106 cost= 105.282670399\n",
      "Epoch: 0107 cost= 105.434782812\n",
      "Epoch: 0108 cost= 105.295327315\n",
      "Epoch: 0109 cost= 105.298168044\n",
      "Epoch: 0110 cost= 105.229229154\n",
      "Epoch: 0111 cost= 105.156070238\n",
      "Epoch: 0112 cost= 105.337798087\n",
      "Epoch: 0113 cost= 105.210000527\n",
      "Epoch: 0114 cost= 105.168139357\n",
      "Epoch: 0115 cost= 105.138976538\n",
      "Epoch: 0116 cost= 105.155040297\n",
      "Epoch: 0117 cost= 105.125919786\n",
      "Epoch: 0118 cost= 105.015926666\n",
      "Epoch: 0119 cost= 105.063190155\n",
      "Epoch: 0120 cost= 104.955922366\n",
      "Epoch: 0121 cost= 104.962057204\n",
      "Epoch: 0122 cost= 105.031821622\n",
      "Epoch: 0123 cost= 105.008252106\n",
      "Epoch: 0124 cost= 104.902688502\n",
      "Epoch: 0125 cost= 104.808225125\n",
      "Epoch: 0126 cost= 104.944833762\n",
      "Epoch: 0127 cost= 104.868357572\n",
      "Epoch: 0128 cost= 104.906573251\n",
      "Epoch: 0129 cost= 104.774164359\n",
      "Epoch: 0130 cost= 104.835221752\n",
      "Epoch: 0131 cost= 104.812239019\n",
      "Epoch: 0132 cost= 104.679716811\n",
      "Epoch: 0133 cost= 104.774715243\n",
      "Epoch: 0134 cost= 104.730058941\n",
      "Epoch: 0135 cost= 104.731463415\n",
      "Epoch: 0136 cost= 104.636415405\n",
      "Epoch: 0137 cost= 104.596400882\n",
      "Epoch: 0138 cost= 104.779851712\n",
      "Epoch: 0139 cost= 104.645864299\n",
      "Epoch: 0140 cost= 104.542391621\n",
      "Epoch: 0141 cost= 104.666101379\n",
      "Epoch: 0142 cost= 104.524612357\n",
      "Epoch: 0143 cost= 104.463481043\n",
      "Epoch: 0144 cost= 104.614806366\n",
      "Epoch: 0145 cost= 104.681272597\n",
      "Epoch: 0146 cost= 104.496901037\n",
      "Epoch: 0147 cost= 104.454693812\n",
      "Epoch: 0148 cost= 104.441205333\n",
      "Epoch: 0149 cost= 104.332407379\n",
      "Epoch: 0150 cost= 104.672105019\n",
      "Epoch: 0151 cost= 104.385295202\n",
      "Epoch: 0152 cost= 104.374971133\n",
      "Epoch: 0153 cost= 104.338006314\n",
      "Epoch: 0154 cost= 104.392638550\n",
      "Epoch: 0155 cost= 104.358711104\n",
      "Epoch: 0156 cost= 104.391053564\n",
      "Epoch: 0157 cost= 104.335589072\n",
      "Epoch: 0158 cost= 104.315871083\n",
      "Epoch: 0159 cost= 104.302988115\n",
      "Epoch: 0160 cost= 104.430961845\n",
      "Epoch: 0161 cost= 104.126355355\n",
      "Epoch: 0162 cost= 104.220269387\n",
      "Epoch: 0163 cost= 104.313872528\n",
      "Epoch: 0164 cost= 104.167518408\n",
      "Epoch: 0165 cost= 104.238446336\n",
      "Epoch: 0166 cost= 104.167704593\n",
      "Epoch: 0167 cost= 104.297804857\n",
      "Epoch: 0168 cost= 104.194735856\n",
      "Epoch: 0169 cost= 104.266396679\n",
      "Epoch: 0170 cost= 104.012348009\n",
      "Epoch: 0171 cost= 104.193558169\n",
      "Epoch: 0172 cost= 104.028044045\n",
      "Epoch: 0173 cost= 104.222105186\n",
      "Epoch: 0174 cost= 104.061158267\n",
      "Epoch: 0175 cost= 104.192385129\n",
      "Epoch: 0176 cost= 104.081736880\n",
      "Epoch: 0177 cost= 104.001936673\n",
      "Epoch: 0178 cost= 104.037036882\n",
      "Epoch: 0179 cost= 104.076782449\n",
      "Epoch: 0180 cost= 103.967751271\n",
      "Epoch: 0181 cost= 103.985666934\n",
      "Epoch: 0182 cost= 104.070729148\n",
      "Epoch: 0183 cost= 104.010399128\n",
      "Epoch: 0184 cost= 104.043597648\n",
      "Epoch: 0185 cost= 103.953180417\n",
      "Epoch: 0186 cost= 103.883811895\n",
      "Epoch: 0187 cost= 103.927523512\n",
      "Epoch: 0188 cost= 103.903287700\n",
      "Epoch: 0189 cost= 104.010232516\n",
      "Epoch: 0190 cost= 103.883629123\n",
      "Epoch: 0191 cost= 103.837298806\n",
      "Epoch: 0192 cost= 103.906913133\n",
      "Epoch: 0193 cost= 103.766743858\n",
      "Epoch: 0194 cost= 103.835140145\n",
      "Epoch: 0195 cost= 103.892307406\n",
      "Epoch: 0196 cost= 103.912650049\n",
      "Epoch: 0197 cost= 103.707264779\n",
      "Epoch: 0198 cost= 103.871285664\n",
      "Epoch: 0199 cost= 103.781732941\n",
      "Epoch: 0200 cost= 103.965997009\n",
      "Epoch: 0201 cost= 103.823810883\n",
      "Epoch: 0202 cost= 103.713395871\n",
      "Epoch: 0203 cost= 103.711386483\n",
      "Epoch: 0204 cost= 103.795820701\n",
      "Epoch: 0205 cost= 103.648635046\n",
      "Epoch: 0206 cost= 103.726816573\n",
      "Epoch: 0207 cost= 103.756723688\n",
      "Epoch: 0208 cost= 103.694554319\n",
      "Epoch: 0209 cost= 103.630911199\n",
      "Epoch: 0210 cost= 103.655191387\n",
      "Epoch: 0211 cost= 103.677124634\n",
      "Epoch: 0212 cost= 103.702366708\n",
      "Epoch: 0213 cost= 103.638349831\n",
      "Epoch: 0214 cost= 103.744433372\n",
      "Epoch: 0215 cost= 103.755188765\n",
      "Epoch: 0216 cost= 103.646622661\n",
      "Epoch: 0217 cost= 103.716786055\n",
      "Epoch: 0218 cost= 103.637227839\n",
      "Epoch: 0219 cost= 103.784961936\n",
      "Epoch: 0220 cost= 103.594749853\n",
      "Epoch: 0221 cost= 103.570088889\n",
      "Epoch: 0222 cost= 103.470490598\n",
      "Epoch: 0223 cost= 103.638165894\n",
      "Epoch: 0224 cost= 103.603541343\n",
      "Epoch: 0225 cost= 103.634034729\n",
      "Epoch: 0226 cost= 103.732365945\n",
      "Epoch: 0227 cost= 103.525801738\n",
      "Epoch: 0228 cost= 103.598513295\n",
      "Epoch: 0229 cost= 103.453430897\n",
      "Epoch: 0230 cost= 103.627623041\n",
      "Epoch: 0231 cost= 103.445602847\n",
      "Epoch: 0232 cost= 103.483168640\n",
      "Epoch: 0233 cost= 103.429505907\n",
      "Epoch: 0234 cost= 103.497705453\n",
      "Epoch: 0235 cost= 103.438441772\n",
      "Epoch: 0236 cost= 103.392597739\n",
      "Epoch: 0237 cost= 103.552329809\n",
      "Epoch: 0238 cost= 103.459344538\n",
      "Epoch: 0239 cost= 103.462087638\n",
      "Epoch: 0240 cost= 103.475854423\n",
      "Epoch: 0241 cost= 103.480596674\n",
      "Epoch: 0242 cost= 103.516290034\n",
      "Epoch: 0243 cost= 103.454424092\n",
      "Epoch: 0244 cost= 103.410267306\n",
      "Epoch: 0245 cost= 103.452846957\n",
      "Epoch: 0246 cost= 103.331265828\n",
      "Epoch: 0247 cost= 103.503006245\n",
      "Epoch: 0248 cost= 103.365162520\n",
      "Epoch: 0249 cost= 103.401690507\n",
      "Epoch: 0250 cost= 103.399221677\n",
      "Epoch: 0251 cost= 103.377094199\n",
      "Epoch: 0252 cost= 103.488140994\n",
      "Epoch: 0253 cost= 103.238597717\n",
      "Epoch: 0254 cost= 103.551224657\n",
      "Epoch: 0255 cost= 103.221339250\n",
      "Epoch: 0256 cost= 103.378634214\n",
      "Epoch: 0257 cost= 103.394018125\n",
      "Epoch: 0258 cost= 103.165516579\n",
      "Epoch: 0259 cost= 103.387567083\n",
      "Epoch: 0260 cost= 103.369660409\n",
      "Epoch: 0261 cost= 103.328053395\n",
      "Epoch: 0262 cost= 103.269720334\n",
      "Epoch: 0263 cost= 103.282796478\n",
      "Epoch: 0264 cost= 103.448856201\n",
      "Epoch: 0265 cost= 103.217722501\n",
      "Epoch: 0266 cost= 103.251901134\n",
      "Epoch: 0267 cost= 103.271925756\n",
      "Epoch: 0268 cost= 103.344529003\n",
      "Epoch: 0269 cost= 103.193304832\n",
      "Epoch: 0270 cost= 103.379168354\n",
      "Epoch: 0271 cost= 103.206849324\n",
      "Epoch: 0272 cost= 103.319520389\n",
      "Epoch: 0273 cost= 103.221413200\n",
      "Epoch: 0274 cost= 103.189321511\n",
      "Epoch: 0275 cost= 103.303478005\n",
      "Epoch: 0276 cost= 103.141351610\n",
      "Epoch: 0277 cost= 103.308342923\n",
      "Epoch: 0278 cost= 103.226716087\n",
      "Epoch: 0279 cost= 103.217772147\n",
      "Epoch: 0280 cost= 103.245338981\n",
      "Epoch: 0281 cost= 103.191480588\n",
      "Epoch: 0282 cost= 103.202936179\n",
      "Epoch: 0283 cost= 103.216010742\n",
      "Epoch: 0284 cost= 103.229951283\n",
      "Epoch: 0285 cost= 103.099265914\n",
      "Epoch: 0286 cost= 103.103910301\n",
      "Epoch: 0287 cost= 103.234920904\n",
      "Epoch: 0288 cost= 103.172908727\n",
      "Epoch: 0289 cost= 103.170743991\n",
      "Epoch: 0290 cost= 103.034385723\n",
      "Epoch: 0291 cost= 103.190413305\n",
      "Epoch: 0292 cost= 103.232415605\n",
      "Epoch: 0293 cost= 103.152547815\n",
      "Epoch: 0294 cost= 103.086003571\n",
      "Epoch: 0295 cost= 103.070492720\n",
      "Epoch: 0296 cost= 103.076264912\n",
      "Epoch: 0297 cost= 102.956653789\n",
      "Epoch: 0298 cost= 103.200498907\n",
      "Epoch: 0299 cost= 102.967305284\n",
      "Epoch: 0300 cost= 103.095582442\n",
      "Epoch: 0301 cost= 102.945009877\n",
      "Epoch: 0302 cost= 102.969589067\n",
      "Epoch: 0303 cost= 103.225293551\n",
      "Epoch: 0304 cost= 103.197461243\n",
      "Epoch: 0305 cost= 102.979165289\n",
      "Epoch: 0306 cost= 103.057856556\n",
      "Epoch: 0307 cost= 103.074586737\n",
      "Epoch: 0308 cost= 103.166512964\n",
      "Epoch: 0309 cost= 102.882335066\n",
      "Epoch: 0310 cost= 102.950372051\n",
      "Epoch: 0311 cost= 103.010869127\n",
      "Epoch: 0312 cost= 103.152379012\n",
      "Epoch: 0313 cost= 102.853269029\n",
      "Epoch: 0314 cost= 103.158667117\n",
      "Epoch: 0315 cost= 102.971877483\n",
      "Epoch: 0316 cost= 103.026145408\n",
      "Epoch: 0317 cost= 102.940964785\n",
      "Epoch: 0318 cost= 103.020223305\n",
      "Epoch: 0319 cost= 102.975655060\n",
      "Epoch: 0320 cost= 102.948764454\n",
      "Epoch: 0321 cost= 102.946196636\n",
      "Epoch: 0322 cost= 102.970807717\n",
      "Epoch: 0323 cost= 103.025699893\n",
      "Epoch: 0324 cost= 102.935328563\n",
      "Epoch: 0325 cost= 102.904529391\n",
      "Epoch: 0326 cost= 103.078247792\n",
      "Epoch: 0327 cost= 102.969121565\n",
      "Epoch: 0328 cost= 102.985851121\n",
      "Epoch: 0329 cost= 102.889801566\n",
      "Epoch: 0330 cost= 102.921667841\n",
      "Epoch: 0331 cost= 102.943243297\n",
      "Epoch: 0332 cost= 102.933480585\n",
      "Epoch: 0333 cost= 102.910071813\n",
      "Epoch: 0334 cost= 102.826009480\n",
      "Epoch: 0335 cost= 102.773965510\n",
      "Epoch: 0336 cost= 103.013336903\n",
      "Epoch: 0337 cost= 102.908707816\n",
      "Epoch: 0338 cost= 102.885727678\n",
      "Epoch: 0339 cost= 102.881882255\n",
      "Epoch: 0340 cost= 102.857203328\n",
      "Epoch: 0341 cost= 102.828656186\n",
      "Epoch: 0342 cost= 102.785467834\n",
      "Epoch: 0343 cost= 102.960161826\n",
      "Epoch: 0344 cost= 102.856972753\n",
      "Epoch: 0345 cost= 102.752643793\n",
      "Epoch: 0346 cost= 102.792323858\n",
      "Epoch: 0347 cost= 102.808579726\n",
      "Epoch: 0348 cost= 102.907225730\n",
      "Epoch: 0349 cost= 102.820418021\n",
      "Epoch: 0350 cost= 102.738922383\n",
      "Epoch: 0351 cost= 102.784729503\n",
      "Epoch: 0352 cost= 102.936804310\n",
      "Epoch: 0353 cost= 102.745508825\n",
      "Epoch: 0354 cost= 102.951517861\n",
      "Epoch: 0355 cost= 102.810090249\n",
      "Epoch: 0356 cost= 102.826931499\n",
      "Epoch: 0357 cost= 102.894043010\n",
      "Epoch: 0358 cost= 102.532762798\n",
      "Epoch: 0359 cost= 102.804592521\n",
      "Epoch: 0360 cost= 102.782706549\n",
      "Epoch: 0361 cost= 102.843065033\n",
      "Epoch: 0362 cost= 102.631988872\n",
      "Epoch: 0363 cost= 102.894308125\n",
      "Epoch: 0364 cost= 102.692577112\n",
      "Epoch: 0365 cost= 102.754257050\n",
      "Epoch: 0366 cost= 102.791676483\n",
      "Epoch: 0367 cost= 102.754080686\n",
      "Epoch: 0368 cost= 102.662757069\n",
      "Epoch: 0369 cost= 102.815011028\n",
      "Epoch: 0370 cost= 102.844113353\n",
      "Epoch: 0371 cost= 102.616462763\n",
      "Epoch: 0372 cost= 102.779597071\n",
      "Epoch: 0373 cost= 102.719398804\n",
      "Epoch: 0374 cost= 102.700745406\n",
      "Epoch: 0375 cost= 102.771817724\n",
      "Epoch: 0376 cost= 102.760368444\n",
      "Epoch: 0377 cost= 102.750837680\n",
      "Epoch: 0378 cost= 102.633718137\n",
      "Epoch: 0379 cost= 102.743486439\n",
      "Epoch: 0380 cost= 102.612313219\n",
      "Epoch: 0381 cost= 102.715121821\n",
      "Epoch: 0382 cost= 102.728396121\n",
      "Epoch: 0383 cost= 102.742281896\n",
      "Epoch: 0384 cost= 102.701875222\n",
      "Epoch: 0385 cost= 102.554021010\n",
      "Epoch: 0386 cost= 102.732169647\n",
      "Epoch: 0387 cost= 102.555383925\n",
      "Epoch: 0388 cost= 102.706828627\n",
      "Epoch: 0389 cost= 102.641189839\n",
      "Epoch: 0390 cost= 102.582584312\n",
      "Epoch: 0391 cost= 102.832960788\n",
      "Epoch: 0392 cost= 102.628098907\n",
      "Epoch: 0393 cost= 102.709388955\n",
      "Epoch: 0394 cost= 102.686896348\n",
      "Epoch: 0395 cost= 102.632671814\n",
      "Epoch: 0396 cost= 102.634517656\n",
      "Epoch: 0397 cost= 102.568455117\n",
      "Epoch: 0398 cost= 102.680521864\n",
      "Epoch: 0399 cost= 102.628853302\n",
      "Epoch: 0400 cost= 102.530798992\n",
      "Epoch: 0401 cost= 102.653154214\n",
      "Epoch: 0402 cost= 102.610751204\n",
      "Epoch: 0403 cost= 102.689938160\n",
      "Epoch: 0404 cost= 102.630000139\n",
      "Epoch: 0405 cost= 102.569245300\n",
      "Epoch: 0406 cost= 102.707055026\n",
      "Epoch: 0407 cost= 102.605084880\n",
      "Epoch: 0408 cost= 102.585254697\n",
      "Epoch: 0409 cost= 102.615374090\n",
      "Epoch: 0410 cost= 102.598021767\n",
      "Epoch: 0411 cost= 102.577405798\n",
      "Epoch: 0412 cost= 102.574099829\n",
      "Epoch: 0413 cost= 102.699514368\n",
      "Epoch: 0414 cost= 102.477350089\n",
      "Epoch: 0415 cost= 102.617407282\n",
      "Epoch: 0416 cost= 102.538443423\n",
      "Epoch: 0417 cost= 102.586833579\n",
      "Epoch: 0418 cost= 102.539337366\n",
      "Epoch: 0419 cost= 102.608070096\n",
      "Epoch: 0420 cost= 102.596701785\n",
      "Epoch: 0421 cost= 102.562006337\n",
      "Epoch: 0422 cost= 102.588478172\n",
      "Epoch: 0423 cost= 102.587872453\n",
      "Epoch: 0424 cost= 102.502161824\n",
      "Epoch: 0425 cost= 102.494120913\n",
      "Epoch: 0426 cost= 102.626533883\n",
      "Epoch: 0427 cost= 102.528824713\n",
      "Epoch: 0428 cost= 102.393127178\n",
      "Epoch: 0429 cost= 102.579614355\n",
      "Epoch: 0430 cost= 102.454139807\n",
      "Epoch: 0431 cost= 102.579451211\n",
      "Epoch: 0432 cost= 102.522434817\n",
      "Epoch: 0433 cost= 102.527506547\n",
      "Epoch: 0434 cost= 102.458743716\n",
      "Epoch: 0435 cost= 102.568094843\n",
      "Epoch: 0436 cost= 102.573584331\n",
      "Epoch: 0437 cost= 102.578417414\n",
      "Epoch: 0438 cost= 102.489209359\n",
      "Epoch: 0439 cost= 102.316885487\n",
      "Epoch: 0440 cost= 102.545088876\n",
      "Epoch: 0441 cost= 102.504041318\n",
      "Epoch: 0442 cost= 102.437987726\n",
      "Epoch: 0443 cost= 102.476879883\n",
      "Epoch: 0444 cost= 102.353110504\n",
      "Epoch: 0445 cost= 102.559677721\n",
      "Epoch: 0446 cost= 102.483229620\n",
      "Epoch: 0447 cost= 102.420917164\n",
      "Epoch: 0448 cost= 102.475063338\n",
      "Epoch: 0449 cost= 102.514563696\n",
      "Epoch: 0450 cost= 102.356714006\n",
      "Epoch: 0451 cost= 102.387548273\n",
      "Epoch: 0452 cost= 102.509123174\n",
      "Epoch: 0453 cost= 102.564911901\n",
      "Epoch: 0454 cost= 102.450554116\n",
      "Epoch: 0455 cost= 102.471470032\n",
      "Epoch: 0456 cost= 102.418905612\n",
      "Epoch: 0457 cost= 102.558279003\n",
      "Epoch: 0458 cost= 102.387658733\n",
      "Epoch: 0459 cost= 102.381588801\n",
      "Epoch: 0460 cost= 102.419220761\n",
      "Epoch: 0461 cost= 102.373839042\n",
      "Epoch: 0462 cost= 102.576296414\n",
      "Epoch: 0463 cost= 102.400351854\n",
      "Epoch: 0464 cost= 102.374213770\n",
      "Epoch: 0465 cost= 102.433575731\n",
      "Epoch: 0466 cost= 102.411803422\n",
      "Epoch: 0467 cost= 102.378723491\n",
      "Epoch: 0468 cost= 102.533737848\n",
      "Epoch: 0469 cost= 102.322945376\n",
      "Epoch: 0470 cost= 102.464940962\n",
      "Epoch: 0471 cost= 102.401070806\n",
      "Epoch: 0472 cost= 102.377828244\n",
      "Epoch: 0473 cost= 102.419454457\n",
      "Epoch: 0474 cost= 102.430554116\n",
      "Epoch: 0475 cost= 102.215394731\n",
      "Epoch: 0476 cost= 102.383873027\n",
      "Epoch: 0477 cost= 102.212510834\n",
      "Epoch: 0478 cost= 102.443587785\n",
      "Epoch: 0479 cost= 102.399612219\n",
      "Epoch: 0480 cost= 102.334887876\n",
      "Epoch: 0481 cost= 102.379416518\n",
      "Epoch: 0482 cost= 102.329534981\n",
      "Epoch: 0483 cost= 102.325492179\n",
      "Epoch: 0484 cost= 102.423855105\n",
      "Epoch: 0485 cost= 102.364136824\n",
      "Epoch: 0486 cost= 102.308730746\n",
      "Epoch: 0487 cost= 102.362460882\n",
      "Epoch: 0488 cost= 102.350015009\n",
      "Epoch: 0489 cost= 102.282158051\n",
      "Epoch: 0490 cost= 102.454515728\n",
      "Epoch: 0491 cost= 102.372044428\n",
      "Epoch: 0492 cost= 102.359415477\n",
      "Epoch: 0493 cost= 102.271131190\n",
      "Epoch: 0494 cost= 102.165668904\n",
      "Epoch: 0495 cost= 102.404720001\n",
      "Epoch: 0496 cost= 102.413707220\n",
      "Epoch: 0497 cost= 102.394501093\n",
      "Epoch: 0498 cost= 102.341234672\n",
      "Epoch: 0499 cost= 102.291877053\n",
      "Epoch: 0500 cost= 102.240927998\n",
      "Epoch: 0501 cost= 102.332795063\n",
      "Epoch: 0502 cost= 102.360853022\n",
      "Epoch: 0503 cost= 102.337768111\n",
      "Epoch: 0504 cost= 102.352249520\n",
      "Epoch: 0505 cost= 102.238087769\n",
      "Epoch: 0506 cost= 102.289528073\n",
      "Epoch: 0507 cost= 102.310437733\n",
      "Epoch: 0508 cost= 102.312705314\n",
      "Epoch: 0509 cost= 102.289344066\n",
      "Epoch: 0510 cost= 102.217862202\n",
      "Epoch: 0511 cost= 102.329830600\n",
      "Epoch: 0512 cost= 102.244344066\n",
      "Epoch: 0513 cost= 102.325163796\n",
      "Epoch: 0514 cost= 102.356738933\n",
      "Epoch: 0515 cost= 102.228295566\n",
      "Epoch: 0516 cost= 102.366199715\n",
      "Epoch: 0517 cost= 102.157525219\n",
      "Epoch: 0518 cost= 102.187915330\n",
      "Epoch: 0519 cost= 102.275366530\n",
      "Epoch: 0520 cost= 102.290150590\n",
      "Epoch: 0521 cost= 102.236356881\n",
      "Epoch: 0522 cost= 102.069699055\n",
      "Epoch: 0523 cost= 102.253741094\n",
      "Epoch: 0524 cost= 102.294856359\n",
      "Epoch: 0525 cost= 102.219429987\n",
      "Epoch: 0526 cost= 102.182116408\n",
      "Epoch: 0527 cost= 102.232897797\n",
      "Epoch: 0528 cost= 102.306510884\n",
      "Epoch: 0529 cost= 102.222243708\n",
      "Epoch: 0530 cost= 102.240767628\n",
      "Epoch: 0531 cost= 102.263076685\n",
      "Epoch: 0532 cost= 102.220943493\n",
      "Epoch: 0533 cost= 102.350641535\n",
      "Epoch: 0534 cost= 102.139034729\n",
      "Epoch: 0535 cost= 102.182534846\n",
      "Epoch: 0536 cost= 102.297000788\n",
      "Epoch: 0537 cost= 102.226766635\n",
      "Epoch: 0538 cost= 102.171439251\n",
      "Epoch: 0539 cost= 102.282236786\n",
      "Epoch: 0540 cost= 102.153827320\n",
      "Epoch: 0541 cost= 102.217144304\n",
      "Epoch: 0542 cost= 102.236271667\n",
      "Epoch: 0543 cost= 102.273169570\n",
      "Epoch: 0544 cost= 102.382934584\n",
      "Epoch: 0545 cost= 102.283650527\n",
      "Epoch: 0546 cost= 102.141911982\n",
      "Epoch: 0547 cost= 102.151017359\n",
      "Epoch: 0548 cost= 102.206073359\n",
      "Epoch: 0549 cost= 102.105312944\n",
      "Epoch: 0550 cost= 102.300381733\n",
      "Epoch: 0551 cost= 102.239449602\n",
      "Epoch: 0552 cost= 102.054718240\n",
      "Epoch: 0553 cost= 102.215806108\n",
      "Epoch: 0554 cost= 102.120865562\n",
      "Epoch: 0555 cost= 102.246913091\n",
      "Epoch: 0556 cost= 102.224301702\n",
      "Epoch: 0557 cost= 102.176060930\n",
      "Epoch: 0558 cost= 102.267386710\n",
      "Epoch: 0559 cost= 102.086119038\n",
      "Epoch: 0560 cost= 102.174987710\n",
      "Epoch: 0561 cost= 102.274819946\n",
      "Epoch: 0562 cost= 102.140542575\n",
      "Epoch: 0563 cost= 102.256939323\n",
      "Epoch: 0564 cost= 102.135424583\n",
      "Epoch: 0565 cost= 102.053430217\n",
      "Epoch: 0566 cost= 102.108328622\n",
      "Epoch: 0567 cost= 102.244358909\n",
      "Epoch: 0568 cost= 102.130354933\n",
      "Epoch: 0569 cost= 102.229515367\n",
      "Epoch: 0570 cost= 102.152775851\n",
      "Epoch: 0571 cost= 102.197789959\n",
      "Epoch: 0572 cost= 102.077781053\n",
      "Epoch: 0573 cost= 102.040256694\n",
      "Epoch: 0574 cost= 102.211362665\n",
      "Epoch: 0575 cost= 102.141067838\n",
      "Epoch: 0576 cost= 101.970416371\n",
      "Epoch: 0577 cost= 102.075349079\n",
      "Epoch: 0578 cost= 102.182599709\n",
      "Epoch: 0579 cost= 102.157957889\n",
      "Epoch: 0580 cost= 102.050471663\n",
      "Epoch: 0581 cost= 102.105454324\n",
      "Epoch: 0582 cost= 102.176856329\n",
      "Epoch: 0583 cost= 102.039712025\n",
      "Epoch: 0584 cost= 102.138412101\n",
      "Epoch: 0585 cost= 102.106937797\n",
      "Epoch: 0586 cost= 102.105376212\n",
      "Epoch: 0587 cost= 102.027314051\n",
      "Epoch: 0588 cost= 102.092643627\n",
      "Epoch: 0589 cost= 102.182534859\n",
      "Epoch: 0590 cost= 101.989127267\n",
      "Epoch: 0591 cost= 102.116826366\n",
      "Epoch: 0592 cost= 102.111812356\n",
      "Epoch: 0593 cost= 102.047021942\n",
      "Epoch: 0594 cost= 102.052912792\n",
      "Epoch: 0595 cost= 102.091980521\n",
      "Epoch: 0596 cost= 102.086378770\n",
      "Epoch: 0597 cost= 102.070700378\n",
      "Epoch: 0598 cost= 102.096548101\n",
      "Epoch: 0599 cost= 102.024954806\n",
      "Epoch: 0600 cost= 102.093881142\n",
      "Epoch: 0601 cost= 101.980876770\n",
      "Epoch: 0602 cost= 102.130162617\n",
      "Epoch: 0603 cost= 102.126218442\n",
      "Epoch: 0604 cost= 102.006741513\n",
      "Epoch: 0605 cost= 102.049851144\n",
      "Epoch: 0606 cost= 102.157811987\n",
      "Epoch: 0607 cost= 102.027699835\n",
      "Epoch: 0608 cost= 102.097912542\n",
      "Epoch: 0609 cost= 102.049095501\n",
      "Epoch: 0610 cost= 102.185813321\n",
      "Epoch: 0611 cost= 102.095475658\n",
      "Epoch: 0612 cost= 102.049954931\n",
      "Epoch: 0613 cost= 102.000958668\n",
      "Epoch: 0614 cost= 102.051712452\n",
      "Epoch: 0615 cost= 102.071810206\n",
      "Epoch: 0616 cost= 102.082884868\n",
      "Epoch: 0617 cost= 102.075492845\n",
      "Epoch: 0618 cost= 102.161530762\n",
      "Epoch: 0619 cost= 102.050920202\n",
      "Epoch: 0620 cost= 102.020658514\n",
      "Epoch: 0621 cost= 102.005184798\n",
      "Epoch: 0622 cost= 102.079987016\n",
      "Epoch: 0623 cost= 102.222750744\n",
      "Epoch: 0624 cost= 102.017038685\n",
      "Epoch: 0625 cost= 101.988140189\n",
      "Epoch: 0626 cost= 102.025605386\n",
      "Epoch: 0627 cost= 101.868299006\n",
      "Epoch: 0628 cost= 102.036883975\n",
      "Epoch: 0629 cost= 102.000495952\n",
      "Epoch: 0630 cost= 102.019107777\n",
      "Epoch: 0631 cost= 102.000920660\n",
      "Epoch: 0632 cost= 102.017793635\n",
      "Epoch: 0633 cost= 102.041715518\n",
      "Epoch: 0634 cost= 102.067363489\n",
      "Epoch: 0635 cost= 101.994746496\n",
      "Epoch: 0636 cost= 102.099582062\n",
      "Epoch: 0637 cost= 101.855527427\n",
      "Epoch: 0638 cost= 102.030947862\n",
      "Epoch: 0639 cost= 101.952357525\n",
      "Epoch: 0640 cost= 102.083314500\n",
      "Epoch: 0641 cost= 102.015197255\n",
      "Epoch: 0642 cost= 101.905533489\n",
      "Epoch: 0643 cost= 101.925369720\n",
      "Epoch: 0644 cost= 102.103129245\n",
      "Epoch: 0645 cost= 101.910881944\n",
      "Epoch: 0646 cost= 102.010628496\n",
      "Epoch: 0647 cost= 101.947639354\n",
      "Epoch: 0648 cost= 102.003986123\n",
      "Epoch: 0649 cost= 101.967538688\n",
      "Epoch: 0650 cost= 101.991089172\n",
      "Epoch: 0651 cost= 102.046000463\n",
      "Epoch: 0652 cost= 101.999223425\n",
      "Epoch: 0653 cost= 101.994417475\n",
      "Epoch: 0654 cost= 101.963303431\n",
      "Epoch: 0655 cost= 101.990751731\n",
      "Epoch: 0656 cost= 101.973981809\n",
      "Epoch: 0657 cost= 102.072032665\n",
      "Epoch: 0658 cost= 101.910507063\n",
      "Epoch: 0659 cost= 102.255085227\n",
      "Epoch: 0660 cost= 101.800200806\n",
      "Epoch: 0661 cost= 102.117694328\n",
      "Epoch: 0662 cost= 101.864328558\n",
      "Epoch: 0663 cost= 101.982101815\n",
      "Epoch: 0664 cost= 101.994896837\n",
      "Epoch: 0665 cost= 101.927199568\n",
      "Epoch: 0666 cost= 102.031002530\n",
      "Epoch: 0667 cost= 102.001273290\n",
      "Epoch: 0668 cost= 101.988358210\n",
      "Epoch: 0669 cost= 101.959262418\n",
      "Epoch: 0670 cost= 102.023995805\n",
      "Epoch: 0671 cost= 101.871521454\n",
      "Epoch: 0672 cost= 101.964001493\n",
      "Epoch: 0673 cost= 101.956966372\n",
      "Epoch: 0674 cost= 101.961702576\n",
      "Epoch: 0675 cost= 101.918718262\n",
      "Epoch: 0676 cost= 101.794769828\n",
      "Epoch: 0677 cost= 101.959526423\n",
      "Epoch: 0678 cost= 101.884516477\n",
      "Epoch: 0679 cost= 101.954974559\n",
      "Epoch: 0680 cost= 101.923393638\n",
      "Epoch: 0681 cost= 101.868457253\n",
      "Epoch: 0682 cost= 101.933671681\n",
      "Epoch: 0683 cost= 101.971061554\n",
      "Epoch: 0684 cost= 101.943569641\n",
      "Epoch: 0685 cost= 101.937319239\n",
      "Epoch: 0686 cost= 101.998025291\n",
      "Epoch: 0687 cost= 101.890404247\n",
      "Epoch: 0688 cost= 101.912019626\n",
      "Epoch: 0689 cost= 101.881654275\n",
      "Epoch: 0690 cost= 101.980827345\n",
      "Epoch: 0691 cost= 101.958651803\n",
      "Epoch: 0692 cost= 101.867578111\n",
      "Epoch: 0693 cost= 102.082394631\n",
      "Epoch: 0694 cost= 101.806038333\n",
      "Epoch: 0695 cost= 102.012601804\n",
      "Epoch: 0696 cost= 101.911491616\n",
      "Epoch: 0697 cost= 101.793145558\n",
      "Epoch: 0698 cost= 101.886010243\n",
      "Epoch: 0699 cost= 101.827462838\n",
      "Epoch: 0700 cost= 101.927525441\n",
      "Epoch: 0701 cost= 101.925982264\n",
      "Epoch: 0702 cost= 101.924343248\n",
      "Epoch: 0703 cost= 101.866311035\n",
      "Epoch: 0704 cost= 101.847451852\n",
      "Epoch: 0705 cost= 101.845961012\n",
      "Epoch: 0706 cost= 101.900462660\n",
      "Epoch: 0707 cost= 101.904213146\n",
      "Epoch: 0708 cost= 101.803506386\n",
      "Epoch: 0709 cost= 101.930656475\n",
      "Epoch: 0710 cost= 101.827618783\n",
      "Epoch: 0711 cost= 101.848658766\n",
      "Epoch: 0712 cost= 101.965482067\n",
      "Epoch: 0713 cost= 101.858041229\n",
      "Epoch: 0714 cost= 101.776531441\n",
      "Epoch: 0715 cost= 101.972144872\n",
      "Epoch: 0716 cost= 101.963747517\n",
      "Epoch: 0717 cost= 101.796605904\n",
      "Epoch: 0718 cost= 101.905741064\n",
      "Epoch: 0719 cost= 101.704110648\n",
      "Epoch: 0720 cost= 101.812490470\n",
      "Epoch: 0721 cost= 101.945734780\n",
      "Epoch: 0722 cost= 101.997601194\n",
      "Epoch: 0723 cost= 101.858304610\n",
      "Epoch: 0724 cost= 101.885999367\n",
      "Epoch: 0725 cost= 101.777158134\n",
      "Epoch: 0726 cost= 101.881031799\n",
      "Epoch: 0727 cost= 101.786413144\n",
      "Epoch: 0728 cost= 101.872622334\n",
      "Epoch: 0729 cost= 101.903906389\n",
      "Epoch: 0730 cost= 101.940878865\n",
      "Epoch: 0731 cost= 101.696714991\n",
      "Epoch: 0732 cost= 101.914455774\n",
      "Epoch: 0733 cost= 102.003965884\n",
      "Epoch: 0734 cost= 101.842984952\n",
      "Epoch: 0735 cost= 101.811910456\n",
      "Epoch: 0736 cost= 101.844894354\n",
      "Epoch: 0737 cost= 101.827055068\n",
      "Epoch: 0738 cost= 101.985115273\n",
      "Epoch: 0739 cost= 101.782638148\n",
      "Epoch: 0740 cost= 101.875780113\n",
      "Epoch: 0741 cost= 101.827369371\n",
      "Epoch: 0742 cost= 101.755519035\n",
      "Epoch: 0743 cost= 101.898170083\n",
      "Epoch: 0744 cost= 101.668386383\n",
      "Epoch: 0745 cost= 101.904195182\n",
      "Epoch: 0746 cost= 101.804851435\n",
      "Epoch: 0747 cost= 101.774997351\n",
      "Epoch: 0748 cost= 101.858920260\n",
      "Epoch: 0749 cost= 101.893187963\n",
      "Epoch: 0750 cost= 101.809269035\n",
      "Epoch: 0751 cost= 101.862385434\n",
      "Epoch: 0752 cost= 101.782166706\n",
      "Epoch: 0753 cost= 101.824706906\n",
      "Epoch: 0754 cost= 101.872598308\n",
      "Epoch: 0755 cost= 101.797237466\n",
      "Epoch: 0756 cost= 101.851473846\n",
      "Epoch: 0757 cost= 101.800234625\n",
      "Epoch: 0758 cost= 101.846514976\n",
      "Epoch: 0759 cost= 101.829970994\n",
      "Epoch: 0760 cost= 101.856383376\n",
      "Epoch: 0761 cost= 101.805959903\n",
      "Epoch: 0762 cost= 101.844992121\n",
      "Epoch: 0763 cost= 101.727120833\n",
      "Epoch: 0764 cost= 101.811960810\n",
      "Epoch: 0765 cost= 101.880857891\n",
      "Epoch: 0766 cost= 101.728452426\n",
      "Epoch: 0767 cost= 101.804689220\n",
      "Epoch: 0768 cost= 101.882340823\n",
      "Epoch: 0769 cost= 101.740475783\n",
      "Epoch: 0770 cost= 101.761546242\n",
      "Epoch: 0771 cost= 101.993809690\n",
      "Epoch: 0772 cost= 101.763446947\n",
      "Epoch: 0773 cost= 101.851147697\n",
      "Epoch: 0774 cost= 101.804683061\n",
      "Epoch: 0775 cost= 101.721914021\n",
      "Epoch: 0776 cost= 101.836413644\n",
      "Epoch: 0777 cost= 101.922998421\n",
      "Epoch: 0778 cost= 101.737076804\n",
      "Epoch: 0779 cost= 101.750144570\n",
      "Epoch: 0780 cost= 101.737793399\n",
      "Epoch: 0781 cost= 101.813340468\n",
      "Epoch: 0782 cost= 101.674222953\n",
      "Epoch: 0783 cost= 101.883089641\n",
      "Epoch: 0784 cost= 101.753025069\n",
      "Epoch: 0785 cost= 101.717471064\n",
      "Epoch: 0786 cost= 101.817450132\n",
      "Epoch: 0787 cost= 101.684953169\n",
      "Epoch: 0788 cost= 101.654028140\n",
      "Epoch: 0789 cost= 101.891906350\n",
      "Epoch: 0790 cost= 101.712954948\n",
      "Epoch: 0791 cost= 101.995913294\n",
      "Epoch: 0792 cost= 101.683790186\n",
      "Epoch: 0793 cost= 101.783312669\n",
      "Epoch: 0794 cost= 101.834508251\n",
      "Epoch: 0795 cost= 101.784414576\n",
      "Epoch: 0796 cost= 101.739711082\n",
      "Epoch: 0797 cost= 101.655488143\n",
      "Epoch: 0798 cost= 101.741497567\n",
      "Epoch: 0799 cost= 101.789225603\n",
      "Epoch: 0800 cost= 101.747800127\n",
      "Epoch: 0801 cost= 101.829772117\n",
      "Epoch: 0802 cost= 101.627425745\n",
      "Epoch: 0803 cost= 101.903012432\n",
      "Epoch: 0804 cost= 101.564518252\n",
      "Epoch: 0805 cost= 101.877577154\n",
      "Epoch: 0806 cost= 101.789755526\n",
      "Epoch: 0807 cost= 101.828343464\n",
      "Epoch: 0808 cost= 101.635882721\n",
      "Epoch: 0809 cost= 101.837642600\n",
      "Epoch: 0810 cost= 101.658968437\n",
      "Epoch: 0811 cost= 101.785301056\n",
      "Epoch: 0812 cost= 101.885016493\n",
      "Epoch: 0813 cost= 101.749960840\n",
      "Epoch: 0814 cost= 101.688948031\n",
      "Epoch: 0815 cost= 101.640809673\n",
      "Epoch: 0816 cost= 101.756513741\n",
      "Epoch: 0817 cost= 101.763397786\n",
      "Epoch: 0818 cost= 101.767724207\n",
      "Epoch: 0819 cost= 101.794355899\n",
      "Epoch: 0820 cost= 101.591054105\n",
      "Epoch: 0821 cost= 101.879450198\n",
      "Epoch: 0822 cost= 101.751774375\n",
      "Epoch: 0823 cost= 101.802712749\n",
      "Epoch: 0824 cost= 101.812298168\n",
      "Epoch: 0825 cost= 101.639953391\n",
      "Epoch: 0826 cost= 101.755014205\n",
      "Epoch: 0827 cost= 101.629507349\n",
      "Epoch: 0828 cost= 101.722881706\n",
      "Epoch: 0829 cost= 101.648089072\n",
      "Epoch: 0830 cost= 101.827228574\n",
      "Epoch: 0831 cost= 101.669585987\n",
      "Epoch: 0832 cost= 101.733327012\n",
      "Epoch: 0833 cost= 101.663740193\n",
      "Epoch: 0834 cost= 101.792321056\n",
      "Epoch: 0835 cost= 101.652962979\n",
      "Epoch: 0836 cost= 101.766793698\n",
      "Epoch: 0837 cost= 101.554553972\n",
      "Epoch: 0838 cost= 101.756177382\n",
      "Epoch: 0839 cost= 101.736864971\n",
      "Epoch: 0840 cost= 101.611595459\n",
      "Epoch: 0841 cost= 101.836391158\n",
      "Epoch: 0842 cost= 101.736635992\n",
      "Epoch: 0843 cost= 101.774915466\n",
      "Epoch: 0844 cost= 101.788518510\n",
      "Epoch: 0845 cost= 101.658803780\n",
      "Epoch: 0846 cost= 101.780375033\n",
      "Epoch: 0847 cost= 101.707223899\n",
      "Epoch: 0848 cost= 101.808946894\n",
      "Epoch: 0849 cost= 101.701333909\n",
      "Epoch: 0850 cost= 101.720025829\n",
      "Epoch: 0851 cost= 101.755928206\n",
      "Epoch: 0852 cost= 101.500911574\n",
      "Epoch: 0853 cost= 101.664866597\n",
      "Epoch: 0854 cost= 101.595382441\n",
      "Epoch: 0855 cost= 101.720709617\n",
      "Epoch: 0856 cost= 101.670197310\n",
      "Epoch: 0857 cost= 101.585303594\n",
      "Epoch: 0858 cost= 101.784718156\n",
      "Epoch: 0859 cost= 101.730666296\n",
      "Epoch: 0860 cost= 101.706438141\n",
      "Epoch: 0861 cost= 101.721131620\n",
      "Epoch: 0862 cost= 101.552572882\n",
      "Epoch: 0863 cost= 101.719617226\n",
      "Epoch: 0864 cost= 101.530010751\n",
      "Epoch: 0865 cost= 101.810571178\n",
      "Epoch: 0866 cost= 101.660439522\n",
      "Epoch: 0867 cost= 101.589126351\n",
      "Epoch: 0868 cost= 101.805043446\n",
      "Epoch: 0869 cost= 101.561132036\n",
      "Epoch: 0870 cost= 101.741544162\n",
      "Epoch: 0871 cost= 101.591512493\n",
      "Epoch: 0872 cost= 101.690861900\n",
      "Epoch: 0873 cost= 101.579478566\n",
      "Epoch: 0874 cost= 101.694837813\n",
      "Epoch: 0875 cost= 101.618836670\n",
      "Epoch: 0876 cost= 101.690247844\n",
      "Epoch: 0877 cost= 101.673456615\n",
      "Epoch: 0878 cost= 101.587220403\n",
      "Epoch: 0879 cost= 101.711906059\n",
      "Epoch: 0880 cost= 101.667019334\n",
      "Epoch: 0881 cost= 101.734462322\n",
      "Epoch: 0882 cost= 101.672969998\n",
      "Epoch: 0883 cost= 101.677887892\n",
      "Epoch: 0884 cost= 101.604268771\n",
      "Epoch: 0885 cost= 101.698242784\n",
      "Epoch: 0886 cost= 101.553048970\n",
      "Epoch: 0887 cost= 101.701818931\n",
      "Epoch: 0888 cost= 101.632895938\n",
      "Epoch: 0889 cost= 101.656233465\n",
      "Epoch: 0890 cost= 101.653192513\n",
      "Epoch: 0891 cost= 101.580472343\n",
      "Epoch: 0892 cost= 101.740282815\n",
      "Epoch: 0893 cost= 101.581480214\n",
      "Epoch: 0894 cost= 101.656293127\n",
      "Epoch: 0895 cost= 101.563144004\n",
      "Epoch: 0896 cost= 101.635431033\n",
      "Epoch: 0897 cost= 101.621753540\n",
      "Epoch: 0898 cost= 101.655710935\n",
      "Epoch: 0899 cost= 101.617522541\n",
      "Epoch: 0900 cost= 101.594222592\n",
      "Epoch: 0901 cost= 101.661317569\n",
      "Epoch: 0902 cost= 101.485162492\n",
      "Epoch: 0903 cost= 101.971759158\n",
      "Epoch: 0904 cost= 101.666372597\n",
      "Epoch: 0905 cost= 101.643763858\n",
      "Epoch: 0906 cost= 101.631585388\n",
      "Epoch: 0907 cost= 101.660763647\n",
      "Epoch: 0908 cost= 101.707204035\n",
      "Epoch: 0909 cost= 101.712576696\n",
      "Epoch: 0910 cost= 101.591715102\n",
      "Epoch: 0911 cost= 101.733306233\n",
      "Epoch: 0912 cost= 101.594175762\n",
      "Epoch: 0913 cost= 101.740770472\n",
      "Epoch: 0914 cost= 101.579352833\n",
      "Epoch: 0915 cost= 101.685660234\n",
      "Epoch: 0916 cost= 101.673144198\n",
      "Epoch: 0917 cost= 101.563867160\n",
      "Epoch: 0918 cost= 101.665384952\n",
      "Epoch: 0919 cost= 101.490213040\n",
      "Epoch: 0920 cost= 101.537761383\n",
      "Epoch: 0921 cost= 101.720244057\n",
      "Epoch: 0922 cost= 101.601483737\n",
      "Epoch: 0923 cost= 101.609214269\n",
      "Epoch: 0924 cost= 101.623868145\n",
      "Epoch: 0925 cost= 101.485456876\n",
      "Epoch: 0926 cost= 101.728762082\n",
      "Epoch: 0927 cost= 101.668677216\n",
      "Epoch: 0928 cost= 101.716422494\n",
      "Epoch: 0929 cost= 101.618496108\n",
      "Epoch: 0930 cost= 101.596523590\n",
      "Epoch: 0931 cost= 101.693864926\n",
      "Epoch: 0932 cost= 101.605352811\n",
      "Epoch: 0933 cost= 101.635680459\n",
      "Epoch: 0934 cost= 101.560151548\n",
      "Epoch: 0935 cost= 101.578227123\n",
      "Epoch: 0936 cost= 101.649902122\n",
      "Epoch: 0937 cost= 101.798108049\n",
      "Epoch: 0938 cost= 101.620088640\n",
      "Epoch: 0939 cost= 101.539875225\n",
      "Epoch: 0940 cost= 101.705247179\n",
      "Epoch: 0941 cost= 101.619356884\n",
      "Epoch: 0942 cost= 101.665140464\n",
      "Epoch: 0943 cost= 101.599238226\n",
      "Epoch: 0944 cost= 101.598023279\n",
      "Epoch: 0945 cost= 101.452306005\n",
      "Epoch: 0946 cost= 101.740972734\n",
      "Epoch: 0947 cost= 101.529275776\n",
      "Epoch: 0948 cost= 101.688022031\n",
      "Epoch: 0949 cost= 101.572132693\n",
      "Epoch: 0950 cost= 101.538201585\n",
      "Epoch: 0951 cost= 101.446277716\n",
      "Epoch: 0952 cost= 101.722894523\n",
      "Epoch: 0953 cost= 101.635249162\n",
      "Epoch: 0954 cost= 101.671032368\n",
      "Epoch: 0955 cost= 101.628981601\n",
      "Epoch: 0956 cost= 101.679727423\n",
      "Epoch: 0957 cost= 101.587136341\n",
      "Epoch: 0958 cost= 101.557734639\n",
      "Epoch: 0959 cost= 101.640746515\n",
      "Epoch: 0960 cost= 101.622145261\n",
      "Epoch: 0961 cost= 101.547947013\n",
      "Epoch: 0962 cost= 101.496488994\n",
      "Epoch: 0963 cost= 101.562521667\n",
      "Epoch: 0964 cost= 101.673961362\n",
      "Epoch: 0965 cost= 101.598040785\n",
      "Epoch: 0966 cost= 101.544577623\n",
      "Epoch: 0967 cost= 101.576507388\n",
      "Epoch: 0968 cost= 101.621764166\n",
      "Epoch: 0969 cost= 101.583184551\n",
      "Epoch: 0970 cost= 101.659221067\n",
      "Epoch: 0971 cost= 101.614472989\n",
      "Epoch: 0972 cost= 101.579636022\n",
      "Epoch: 0973 cost= 101.724317017\n",
      "Epoch: 0974 cost= 101.533614599\n",
      "Epoch: 0975 cost= 101.564610263\n",
      "Epoch: 0976 cost= 101.600102706\n",
      "Epoch: 0977 cost= 101.529890650\n",
      "Epoch: 0978 cost= 101.742407227\n",
      "Epoch: 0979 cost= 101.477836748\n",
      "Epoch: 0980 cost= 101.605665172\n",
      "Epoch: 0981 cost= 101.642143458\n",
      "Epoch: 0982 cost= 101.593736017\n",
      "Epoch: 0983 cost= 101.493516638\n",
      "Epoch: 0984 cost= 101.584129944\n",
      "Epoch: 0985 cost= 101.440052684\n",
      "Epoch: 0986 cost= 101.654740490\n",
      "Epoch: 0987 cost= 101.506836742\n",
      "Epoch: 0988 cost= 101.514694991\n",
      "Epoch: 0989 cost= 101.586122797\n",
      "Epoch: 0990 cost= 101.428484497\n",
      "Epoch: 0991 cost= 101.753150232\n",
      "Epoch: 0992 cost= 101.403328053\n",
      "Epoch: 0993 cost= 101.559710125\n",
      "Epoch: 0994 cost= 101.536503254\n",
      "Epoch: 0995 cost= 101.579956318\n",
      "Epoch: 0996 cost= 101.548470542\n",
      "Epoch: 0997 cost= 101.710348788\n",
      "Epoch: 0998 cost= 101.573530038\n",
      "Epoch: 0999 cost= 101.598592127\n",
      "Epoch: 1000 cost= 101.477022927\n",
      "Epoch: 0001 cost= 170.276597540\n",
      "Epoch: 0002 cost= 129.641808042\n",
      "Epoch: 0003 cost= 120.350423917\n",
      "Epoch: 0004 cost= 116.379859536\n",
      "Epoch: 0005 cost= 113.966742179\n",
      "Epoch: 0006 cost= 112.154050473\n",
      "Epoch: 0007 cost= 111.100807620\n",
      "Epoch: 0008 cost= 110.209516366\n",
      "Epoch: 0009 cost= 109.289665943\n",
      "Epoch: 0010 cost= 108.739884713\n",
      "Epoch: 0011 cost= 108.242895619\n",
      "Epoch: 0012 cost= 107.696450889\n",
      "Epoch: 0013 cost= 107.479700831\n",
      "Epoch: 0014 cost= 107.095440327\n",
      "Epoch: 0015 cost= 106.814895796\n",
      "Epoch: 0016 cost= 106.504842432\n",
      "Epoch: 0017 cost= 106.321182542\n",
      "Epoch: 0018 cost= 106.139503285\n",
      "Epoch: 0019 cost= 105.995012928\n",
      "Epoch: 0020 cost= 105.831577232\n",
      "Epoch: 0021 cost= 105.669657856\n",
      "Epoch: 0022 cost= 105.603926073\n",
      "Epoch: 0023 cost= 105.275818273\n",
      "Epoch: 0024 cost= 105.356112532\n",
      "Epoch: 0025 cost= 105.174263930\n",
      "Epoch: 0026 cost= 105.053388075\n",
      "Epoch: 0027 cost= 104.961913064\n",
      "Epoch: 0028 cost= 104.834639920\n",
      "Epoch: 0029 cost= 104.780797466\n",
      "Epoch: 0030 cost= 104.703530204\n",
      "Epoch: 0031 cost= 104.681334797\n",
      "Epoch: 0032 cost= 104.569051236\n",
      "Epoch: 0033 cost= 104.494215019\n",
      "Epoch: 0034 cost= 104.394567705\n",
      "Epoch: 0035 cost= 104.222097140\n",
      "Epoch: 0036 cost= 104.307798143\n",
      "Epoch: 0037 cost= 104.189787501\n",
      "Epoch: 0038 cost= 104.067013245\n",
      "Epoch: 0039 cost= 104.236788996\n",
      "Epoch: 0040 cost= 104.106911302\n",
      "Epoch: 0041 cost= 103.970141130\n",
      "Epoch: 0042 cost= 103.901839988\n",
      "Epoch: 0043 cost= 103.785363506\n",
      "Epoch: 0044 cost= 103.880083854\n",
      "Epoch: 0045 cost= 103.651210827\n",
      "Epoch: 0046 cost= 103.848486106\n",
      "Epoch: 0047 cost= 103.530910298\n",
      "Epoch: 0048 cost= 103.629778997\n",
      "Epoch: 0049 cost= 103.509760187\n",
      "Epoch: 0050 cost= 103.528773055\n",
      "Epoch: 0051 cost= 103.534466012\n",
      "Epoch: 0052 cost= 103.540876368\n",
      "Epoch: 0053 cost= 103.390406203\n",
      "Epoch: 0054 cost= 103.326442802\n",
      "Epoch: 0055 cost= 103.310685994\n",
      "Epoch: 0056 cost= 103.320505149\n",
      "Epoch: 0057 cost= 103.107795313\n",
      "Epoch: 0058 cost= 103.244726188\n",
      "Epoch: 0059 cost= 103.172948192\n",
      "Epoch: 0060 cost= 103.088347584\n",
      "Epoch: 0061 cost= 103.004754666\n",
      "Epoch: 0062 cost= 103.179760867\n",
      "Epoch: 0063 cost= 103.115930023\n",
      "Epoch: 0064 cost= 103.082683480\n",
      "Epoch: 0065 cost= 102.938134349\n",
      "Epoch: 0066 cost= 102.979638436\n",
      "Epoch: 0067 cost= 102.838046639\n",
      "Epoch: 0068 cost= 103.001391504\n",
      "Epoch: 0069 cost= 102.888585150\n",
      "Epoch: 0070 cost= 102.834657995\n",
      "Epoch: 0071 cost= 102.759838604\n",
      "Epoch: 0072 cost= 102.788732230\n",
      "Epoch: 0073 cost= 102.729276109\n",
      "Epoch: 0074 cost= 102.783330855\n",
      "Epoch: 0075 cost= 102.764737771\n",
      "Epoch: 0076 cost= 102.715173590\n",
      "Epoch: 0077 cost= 102.655571428\n",
      "Epoch: 0078 cost= 102.516654705\n",
      "Epoch: 0079 cost= 102.833623962\n",
      "Epoch: 0080 cost= 102.541216167\n",
      "Epoch: 0081 cost= 102.571281641\n",
      "Epoch: 0082 cost= 102.486189880\n",
      "Epoch: 0083 cost= 102.371144146\n",
      "Epoch: 0084 cost= 102.558742274\n",
      "Epoch: 0085 cost= 102.496309773\n",
      "Epoch: 0086 cost= 102.408131339\n",
      "Epoch: 0087 cost= 102.419373044\n",
      "Epoch: 0088 cost= 102.520848375\n",
      "Epoch: 0089 cost= 102.374298442\n",
      "Epoch: 0090 cost= 102.359013922\n",
      "Epoch: 0091 cost= 102.301380518\n",
      "Epoch: 0092 cost= 102.311966039\n",
      "Epoch: 0093 cost= 102.237572535\n",
      "Epoch: 0094 cost= 102.274951449\n",
      "Epoch: 0095 cost= 102.391367826\n",
      "Epoch: 0096 cost= 102.209839727\n",
      "Epoch: 0097 cost= 102.281469116\n",
      "Epoch: 0098 cost= 102.162161629\n",
      "Epoch: 0099 cost= 102.261543635\n",
      "Epoch: 0100 cost= 102.135743783\n",
      "Epoch: 0101 cost= 102.289797294\n",
      "Epoch: 0102 cost= 102.057844543\n",
      "Epoch: 0103 cost= 102.126539640\n",
      "Epoch: 0104 cost= 102.088069278\n",
      "Epoch: 0105 cost= 102.104011300\n",
      "Epoch: 0106 cost= 102.132126354\n",
      "Epoch: 0107 cost= 102.081663277\n",
      "Epoch: 0108 cost= 102.035534155\n",
      "Epoch: 0109 cost= 102.008247362\n",
      "Epoch: 0110 cost= 102.010098932\n",
      "Epoch: 0111 cost= 101.905232918\n",
      "Epoch: 0112 cost= 102.091255022\n",
      "Epoch: 0113 cost= 101.990091913\n",
      "Epoch: 0114 cost= 101.997061920\n",
      "Epoch: 0115 cost= 101.981152219\n",
      "Epoch: 0116 cost= 101.767438049\n",
      "Epoch: 0117 cost= 101.954818004\n",
      "Epoch: 0118 cost= 101.875390625\n",
      "Epoch: 0119 cost= 101.884310636\n",
      "Epoch: 0120 cost= 101.892936138\n",
      "Epoch: 0121 cost= 101.873599951\n",
      "Epoch: 0122 cost= 101.876563277\n",
      "Epoch: 0123 cost= 101.811379838\n",
      "Epoch: 0124 cost= 101.705275962\n",
      "Epoch: 0125 cost= 101.849185736\n",
      "Epoch: 0126 cost= 101.857988281\n",
      "Epoch: 0127 cost= 101.814533372\n",
      "Epoch: 0128 cost= 101.854678400\n",
      "Epoch: 0129 cost= 101.627210679\n",
      "Epoch: 0130 cost= 101.669228543\n",
      "Epoch: 0131 cost= 101.765205522\n",
      "Epoch: 0132 cost= 101.786861877\n",
      "Epoch: 0133 cost= 101.665849970\n",
      "Epoch: 0134 cost= 101.737023260\n",
      "Epoch: 0135 cost= 101.709564514\n",
      "Epoch: 0136 cost= 101.673236264\n",
      "Epoch: 0137 cost= 101.571019245\n",
      "Epoch: 0138 cost= 101.692958152\n",
      "Epoch: 0139 cost= 101.588013333\n",
      "Epoch: 0140 cost= 101.577063904\n",
      "Epoch: 0141 cost= 101.579447868\n",
      "Epoch: 0142 cost= 101.548742981\n",
      "Epoch: 0143 cost= 101.663127885\n",
      "Epoch: 0144 cost= 101.546353885\n",
      "Epoch: 0145 cost= 101.542720212\n",
      "Epoch: 0146 cost= 101.559184584\n",
      "Epoch: 0147 cost= 101.511247586\n",
      "Epoch: 0148 cost= 101.516357450\n",
      "Epoch: 0149 cost= 101.435195548\n",
      "Epoch: 0150 cost= 101.486585929\n",
      "Epoch: 0151 cost= 101.503181125\n",
      "Epoch: 0152 cost= 101.465547305\n",
      "Epoch: 0153 cost= 101.369836537\n",
      "Epoch: 0154 cost= 101.371333798\n",
      "Epoch: 0155 cost= 101.452588570\n",
      "Epoch: 0156 cost= 101.287560023\n",
      "Epoch: 0157 cost= 101.558063410\n",
      "Epoch: 0158 cost= 101.321701549\n",
      "Epoch: 0159 cost= 101.344306072\n",
      "Epoch: 0160 cost= 101.466842610\n",
      "Epoch: 0161 cost= 101.326188785\n",
      "Epoch: 0162 cost= 101.431946161\n",
      "Epoch: 0163 cost= 101.378755687\n",
      "Epoch: 0164 cost= 101.190398005\n",
      "Epoch: 0165 cost= 101.295633448\n",
      "Epoch: 0166 cost= 101.322908866\n",
      "Epoch: 0167 cost= 101.217594341\n",
      "Epoch: 0168 cost= 101.188854356\n",
      "Epoch: 0169 cost= 101.267528007\n",
      "Epoch: 0170 cost= 101.107786088\n",
      "Epoch: 0171 cost= 101.253426014\n",
      "Epoch: 0172 cost= 101.290066209\n",
      "Epoch: 0173 cost= 101.171160681\n",
      "Epoch: 0174 cost= 101.189903315\n",
      "Epoch: 0175 cost= 101.134303325\n",
      "Epoch: 0176 cost= 101.265621102\n",
      "Epoch: 0177 cost= 101.135451632\n",
      "Epoch: 0178 cost= 101.024982258\n",
      "Epoch: 0179 cost= 101.108612546\n",
      "Epoch: 0180 cost= 101.103053062\n",
      "Epoch: 0181 cost= 101.141974959\n",
      "Epoch: 0182 cost= 101.114802094\n",
      "Epoch: 0183 cost= 101.216437974\n",
      "Epoch: 0184 cost= 101.100006520\n",
      "Epoch: 0185 cost= 101.020515386\n",
      "Epoch: 0186 cost= 101.085601002\n",
      "Epoch: 0187 cost= 100.931042397\n",
      "Epoch: 0188 cost= 101.173180681\n",
      "Epoch: 0189 cost= 101.127537009\n",
      "Epoch: 0190 cost= 101.089572366\n",
      "Epoch: 0191 cost= 100.987792941\n",
      "Epoch: 0192 cost= 101.014950520\n",
      "Epoch: 0193 cost= 100.975756073\n",
      "Epoch: 0194 cost= 100.972752158\n",
      "Epoch: 0195 cost= 101.127186182\n",
      "Epoch: 0196 cost= 100.905093786\n",
      "Epoch: 0197 cost= 100.933887343\n",
      "Epoch: 0198 cost= 100.972602248\n",
      "Epoch: 0199 cost= 100.865321544\n",
      "Epoch: 0200 cost= 101.059151889\n",
      "Epoch: 0201 cost= 100.898782016\n",
      "Epoch: 0202 cost= 100.932833529\n",
      "Epoch: 0203 cost= 100.856816850\n",
      "Epoch: 0204 cost= 101.046883337\n",
      "Epoch: 0205 cost= 100.855353310\n",
      "Epoch: 0206 cost= 100.816999082\n",
      "Epoch: 0207 cost= 100.882750216\n",
      "Epoch: 0208 cost= 100.880086420\n",
      "Epoch: 0209 cost= 100.865402527\n",
      "Epoch: 0210 cost= 100.814310414\n",
      "Epoch: 0211 cost= 100.933051688\n",
      "Epoch: 0212 cost= 100.794657912\n",
      "Epoch: 0213 cost= 100.865928456\n",
      "Epoch: 0214 cost= 100.836297344\n",
      "Epoch: 0215 cost= 100.883804918\n",
      "Epoch: 0216 cost= 100.842374573\n",
      "Epoch: 0217 cost= 100.721252816\n",
      "Epoch: 0218 cost= 100.884929712\n",
      "Epoch: 0219 cost= 100.748341051\n",
      "Epoch: 0220 cost= 100.737457289\n",
      "Epoch: 0221 cost= 100.714946886\n",
      "Epoch: 0222 cost= 100.794962186\n",
      "Epoch: 0223 cost= 100.761916240\n",
      "Epoch: 0224 cost= 100.746383265\n",
      "Epoch: 0225 cost= 100.710442588\n",
      "Epoch: 0226 cost= 100.843561942\n",
      "Epoch: 0227 cost= 100.598350525\n",
      "Epoch: 0228 cost= 100.750450453\n",
      "Epoch: 0229 cost= 100.747097764\n",
      "Epoch: 0230 cost= 100.784759230\n",
      "Epoch: 0231 cost= 100.646688884\n",
      "Epoch: 0232 cost= 100.707228366\n",
      "Epoch: 0233 cost= 100.543529746\n",
      "Epoch: 0234 cost= 100.673692793\n",
      "Epoch: 0235 cost= 100.650410794\n",
      "Epoch: 0236 cost= 100.594255551\n",
      "Epoch: 0237 cost= 100.723395233\n",
      "Epoch: 0238 cost= 100.537685325\n",
      "Epoch: 0239 cost= 100.616003113\n",
      "Epoch: 0240 cost= 100.604690857\n",
      "Epoch: 0241 cost= 100.670795108\n",
      "Epoch: 0242 cost= 100.584140126\n",
      "Epoch: 0243 cost= 100.632036813\n",
      "Epoch: 0244 cost= 100.533261774\n",
      "Epoch: 0245 cost= 100.707356748\n",
      "Epoch: 0246 cost= 100.591007635\n",
      "Epoch: 0247 cost= 100.714197707\n",
      "Epoch: 0248 cost= 100.433001709\n",
      "Epoch: 0249 cost= 100.605775937\n",
      "Epoch: 0250 cost= 100.506741472\n",
      "Epoch: 0251 cost= 100.535876104\n",
      "Epoch: 0252 cost= 100.561525019\n",
      "Epoch: 0253 cost= 100.553324807\n",
      "Epoch: 0254 cost= 100.475087405\n",
      "Epoch: 0255 cost= 100.519997170\n",
      "Epoch: 0256 cost= 100.643306177\n",
      "Epoch: 0257 cost= 100.518491253\n",
      "Epoch: 0258 cost= 100.585757765\n",
      "Epoch: 0259 cost= 100.522545957\n",
      "Epoch: 0260 cost= 100.395374978\n",
      "Epoch: 0261 cost= 100.490149689\n",
      "Epoch: 0262 cost= 100.548768019\n",
      "Epoch: 0263 cost= 100.473544062\n",
      "Epoch: 0264 cost= 100.405709284\n",
      "Epoch: 0265 cost= 100.457326161\n",
      "Epoch: 0266 cost= 100.387149783\n",
      "Epoch: 0267 cost= 100.538832342\n",
      "Epoch: 0268 cost= 100.462208696\n",
      "Epoch: 0269 cost= 100.520712086\n",
      "Epoch: 0270 cost= 100.600765145\n",
      "Epoch: 0271 cost= 100.303185355\n",
      "Epoch: 0272 cost= 100.440819827\n",
      "Epoch: 0273 cost= 100.432694841\n",
      "Epoch: 0274 cost= 100.371536199\n",
      "Epoch: 0275 cost= 100.430528037\n",
      "Epoch: 0276 cost= 100.428217302\n",
      "Epoch: 0277 cost= 100.199381700\n",
      "Epoch: 0278 cost= 100.384631375\n",
      "Epoch: 0279 cost= 100.414824690\n",
      "Epoch: 0280 cost= 100.334913497\n",
      "Epoch: 0281 cost= 100.348297729\n",
      "Epoch: 0282 cost= 100.327112344\n",
      "Epoch: 0283 cost= 100.410898257\n",
      "Epoch: 0284 cost= 100.309096291\n",
      "Epoch: 0285 cost= 100.367473311\n",
      "Epoch: 0286 cost= 100.254113589\n",
      "Epoch: 0287 cost= 100.375193676\n",
      "Epoch: 0288 cost= 100.351846480\n",
      "Epoch: 0289 cost= 100.334928409\n",
      "Epoch: 0290 cost= 100.301828835\n",
      "Epoch: 0291 cost= 100.356331801\n",
      "Epoch: 0292 cost= 100.244138350\n",
      "Epoch: 0293 cost= 100.407591969\n",
      "Epoch: 0294 cost= 100.284065580\n",
      "Epoch: 0295 cost= 100.312472409\n",
      "Epoch: 0296 cost= 100.222787281\n",
      "Epoch: 0297 cost= 100.219257896\n",
      "Epoch: 0298 cost= 100.297870109\n",
      "Epoch: 0299 cost= 100.170283064\n",
      "Epoch: 0300 cost= 100.377146925\n",
      "Epoch: 0301 cost= 100.274713093\n",
      "Epoch: 0302 cost= 100.190975897\n",
      "Epoch: 0303 cost= 100.097960483\n",
      "Epoch: 0304 cost= 100.246785375\n",
      "Epoch: 0305 cost= 100.230436901\n",
      "Epoch: 0306 cost= 100.197599834\n",
      "Epoch: 0307 cost= 100.207551061\n",
      "Epoch: 0308 cost= 100.317497933\n",
      "Epoch: 0309 cost= 100.298852636\n",
      "Epoch: 0310 cost= 100.158511547\n",
      "Epoch: 0311 cost= 100.220702806\n",
      "Epoch: 0312 cost= 100.179309304\n",
      "Epoch: 0313 cost= 100.165227730\n",
      "Epoch: 0314 cost= 100.210473522\n",
      "Epoch: 0315 cost= 100.226650696\n",
      "Epoch: 0316 cost= 100.225373341\n",
      "Epoch: 0317 cost= 100.224110912\n",
      "Epoch: 0318 cost= 100.173887523\n",
      "Epoch: 0319 cost= 100.162507518\n",
      "Epoch: 0320 cost= 100.213675454\n",
      "Epoch: 0321 cost= 100.218425917\n",
      "Epoch: 0322 cost= 100.114347340\n",
      "Epoch: 0323 cost= 100.130773191\n",
      "Epoch: 0324 cost= 100.144061737\n",
      "Epoch: 0325 cost= 100.124933721\n",
      "Epoch: 0326 cost= 100.171856148\n",
      "Epoch: 0327 cost= 100.036828960\n",
      "Epoch: 0328 cost= 100.135741161\n",
      "Epoch: 0329 cost= 100.087944891\n",
      "Epoch: 0330 cost= 100.103839847\n",
      "Epoch: 0331 cost= 100.166085455\n",
      "Epoch: 0332 cost= 100.150955075\n",
      "Epoch: 0333 cost= 100.063207952\n",
      "Epoch: 0334 cost= 100.114174180\n",
      "Epoch: 0335 cost= 100.098998635\n",
      "Epoch: 0336 cost= 100.161599412\n",
      "Epoch: 0337 cost= 100.116608138\n",
      "Epoch: 0338 cost= 100.141317596\n",
      "Epoch: 0339 cost= 100.035982291\n",
      "Epoch: 0340 cost= 100.019122911\n",
      "Epoch: 0341 cost= 100.075097504\n",
      "Epoch: 0342 cost= 100.009237726\n",
      "Epoch: 0343 cost= 99.997866988\n",
      "Epoch: 0344 cost= 100.076507499\n",
      "Epoch: 0345 cost= 100.010145486\n",
      "Epoch: 0346 cost= 100.036156158\n",
      "Epoch: 0347 cost= 99.956535603\n",
      "Epoch: 0348 cost= 100.009811360\n",
      "Epoch: 0349 cost= 100.061357103\n",
      "Epoch: 0350 cost= 100.043586426\n",
      "Epoch: 0351 cost= 100.006799094\n",
      "Epoch: 0352 cost= 100.109201313\n",
      "Epoch: 0353 cost= 99.954640836\n",
      "Epoch: 0354 cost= 99.947271354\n",
      "Epoch: 0355 cost= 99.951326433\n",
      "Epoch: 0356 cost= 99.990488628\n",
      "Epoch: 0357 cost= 100.111743650\n",
      "Epoch: 0358 cost= 100.031013974\n",
      "Epoch: 0359 cost= 99.895605843\n",
      "Epoch: 0360 cost= 100.007928772\n",
      "Epoch: 0361 cost= 100.000381026\n",
      "Epoch: 0362 cost= 100.003107660\n",
      "Epoch: 0363 cost= 99.925634169\n",
      "Epoch: 0364 cost= 99.934087857\n",
      "Epoch: 0365 cost= 99.978546198\n",
      "Epoch: 0366 cost= 99.909696281\n",
      "Epoch: 0367 cost= 99.978502045\n",
      "Epoch: 0368 cost= 99.964484364\n",
      "Epoch: 0369 cost= 99.997441476\n",
      "Epoch: 0370 cost= 100.011222812\n",
      "Epoch: 0371 cost= 99.903300767\n",
      "Epoch: 0372 cost= 99.928121754\n",
      "Epoch: 0373 cost= 99.959320998\n",
      "Epoch: 0374 cost= 99.875317064\n",
      "Epoch: 0375 cost= 99.894921403\n",
      "Epoch: 0376 cost= 99.937790416\n",
      "Epoch: 0377 cost= 99.905384993\n",
      "Epoch: 0378 cost= 99.905060799\n",
      "Epoch: 0379 cost= 99.795249814\n",
      "Epoch: 0380 cost= 99.952786768\n",
      "Epoch: 0381 cost= 99.956670407\n",
      "Epoch: 0382 cost= 99.959057576\n",
      "Epoch: 0383 cost= 99.895903209\n",
      "Epoch: 0384 cost= 99.853799896\n",
      "Epoch: 0385 cost= 99.979639740\n",
      "Epoch: 0386 cost= 99.857812389\n",
      "Epoch: 0387 cost= 99.937838121\n",
      "Epoch: 0388 cost= 99.944581382\n",
      "Epoch: 0389 cost= 99.860579071\n",
      "Epoch: 0390 cost= 99.770367140\n",
      "Epoch: 0391 cost= 99.966519581\n",
      "Epoch: 0392 cost= 99.801382932\n",
      "Epoch: 0393 cost= 99.922237105\n",
      "Epoch: 0394 cost= 99.841912162\n",
      "Epoch: 0395 cost= 99.801094985\n",
      "Epoch: 0396 cost= 99.840105757\n",
      "Epoch: 0397 cost= 100.070253490\n",
      "Epoch: 0398 cost= 99.761306485\n",
      "Epoch: 0399 cost= 99.831799261\n",
      "Epoch: 0400 cost= 99.845180678\n",
      "Epoch: 0401 cost= 99.816892617\n",
      "Epoch: 0402 cost= 99.775384466\n",
      "Epoch: 0403 cost= 99.744405490\n",
      "Epoch: 0404 cost= 99.788299727\n",
      "Epoch: 0405 cost= 99.770977062\n",
      "Epoch: 0406 cost= 99.791558228\n",
      "Epoch: 0407 cost= 99.730784773\n",
      "Epoch: 0408 cost= 99.762228227\n",
      "Epoch: 0409 cost= 99.684733471\n",
      "Epoch: 0410 cost= 99.812153376\n",
      "Epoch: 0411 cost= 99.797965601\n",
      "Epoch: 0412 cost= 99.758677396\n",
      "Epoch: 0413 cost= 99.768071705\n",
      "Epoch: 0414 cost= 99.712555917\n",
      "Epoch: 0415 cost= 99.758586967\n",
      "Epoch: 0416 cost= 99.798207966\n",
      "Epoch: 0417 cost= 99.734475763\n",
      "Epoch: 0418 cost= 99.716137820\n",
      "Epoch: 0419 cost= 99.675733421\n",
      "Epoch: 0420 cost= 99.819480938\n",
      "Epoch: 0421 cost= 99.671602755\n",
      "Epoch: 0422 cost= 99.761705114\n",
      "Epoch: 0423 cost= 99.684757857\n",
      "Epoch: 0424 cost= 99.736084581\n",
      "Epoch: 0425 cost= 99.775012956\n",
      "Epoch: 0426 cost= 99.789518003\n",
      "Epoch: 0427 cost= 99.717256442\n",
      "Epoch: 0428 cost= 99.764736772\n",
      "Epoch: 0429 cost= 99.717386502\n",
      "Epoch: 0430 cost= 99.684428697\n",
      "Epoch: 0431 cost= 99.715104356\n",
      "Epoch: 0432 cost= 99.659434579\n",
      "Epoch: 0433 cost= 99.716393225\n",
      "Epoch: 0434 cost= 99.736904755\n",
      "Epoch: 0435 cost= 99.588472595\n",
      "Epoch: 0436 cost= 99.802693967\n",
      "Epoch: 0437 cost= 99.682088928\n",
      "Epoch: 0438 cost= 99.679110621\n",
      "Epoch: 0439 cost= 99.729115975\n",
      "Epoch: 0440 cost= 99.752759261\n",
      "Epoch: 0441 cost= 99.619217723\n",
      "Epoch: 0442 cost= 99.731622023\n",
      "Epoch: 0443 cost= 99.710036760\n",
      "Epoch: 0444 cost= 99.665722018\n",
      "Epoch: 0445 cost= 99.550665047\n",
      "Epoch: 0446 cost= 99.604554429\n",
      "Epoch: 0447 cost= 99.762174946\n",
      "Epoch: 0448 cost= 99.691141552\n",
      "Epoch: 0449 cost= 99.715537609\n",
      "Epoch: 0450 cost= 99.771522619\n",
      "Epoch: 0451 cost= 99.607003909\n",
      "Epoch: 0452 cost= 99.683081915\n",
      "Epoch: 0453 cost= 99.613030562\n",
      "Epoch: 0454 cost= 99.559360379\n",
      "Epoch: 0455 cost= 99.638662040\n",
      "Epoch: 0456 cost= 99.518156711\n",
      "Epoch: 0457 cost= 99.743654633\n",
      "Epoch: 0458 cost= 99.684585530\n",
      "Epoch: 0459 cost= 99.633307773\n",
      "Epoch: 0460 cost= 99.638360610\n",
      "Epoch: 0461 cost= 99.556271667\n",
      "Epoch: 0462 cost= 99.572985105\n",
      "Epoch: 0463 cost= 99.597265237\n",
      "Epoch: 0464 cost= 99.641419608\n",
      "Epoch: 0465 cost= 99.682189234\n",
      "Epoch: 0466 cost= 99.605068137\n",
      "Epoch: 0467 cost= 99.422548162\n",
      "Epoch: 0468 cost= 99.663971849\n",
      "Epoch: 0469 cost= 99.638430647\n",
      "Epoch: 0470 cost= 99.634020968\n",
      "Epoch: 0471 cost= 99.519170213\n",
      "Epoch: 0472 cost= 99.722615426\n",
      "Epoch: 0473 cost= 99.451929169\n",
      "Epoch: 0474 cost= 99.641559171\n",
      "Epoch: 0475 cost= 99.441604739\n",
      "Epoch: 0476 cost= 99.649163236\n",
      "Epoch: 0477 cost= 99.615741647\n",
      "Epoch: 0478 cost= 99.712634860\n",
      "Epoch: 0479 cost= 99.667982441\n",
      "Epoch: 0480 cost= 99.481464344\n",
      "Epoch: 0481 cost= 99.549322926\n",
      "Epoch: 0482 cost= 99.533608676\n",
      "Epoch: 0483 cost= 99.569616977\n",
      "Epoch: 0484 cost= 99.593393957\n",
      "Epoch: 0485 cost= 99.572449757\n",
      "Epoch: 0486 cost= 99.505091248\n",
      "Epoch: 0487 cost= 99.586087133\n",
      "Epoch: 0488 cost= 99.519510110\n",
      "Epoch: 0489 cost= 99.489800942\n",
      "Epoch: 0490 cost= 99.539649145\n",
      "Epoch: 0491 cost= 99.692126923\n",
      "Epoch: 0492 cost= 99.513314514\n",
      "Epoch: 0493 cost= 99.474111439\n",
      "Epoch: 0494 cost= 99.536384277\n",
      "Epoch: 0495 cost= 99.498471250\n",
      "Epoch: 0496 cost= 99.591125710\n",
      "Epoch: 0497 cost= 99.484387720\n",
      "Epoch: 0498 cost= 99.502893732\n",
      "Epoch: 0499 cost= 99.518623616\n",
      "Epoch: 0500 cost= 99.447719546\n",
      "Epoch: 0501 cost= 99.597806646\n",
      "Epoch: 0502 cost= 99.392504522\n",
      "Epoch: 0503 cost= 99.548392917\n",
      "Epoch: 0504 cost= 99.530727151\n",
      "Epoch: 0505 cost= 99.561072499\n",
      "Epoch: 0506 cost= 99.455419686\n",
      "Epoch: 0507 cost= 99.403983973\n",
      "Epoch: 0508 cost= 99.537294214\n",
      "Epoch: 0509 cost= 99.359160018\n",
      "Epoch: 0510 cost= 99.468673997\n",
      "Epoch: 0511 cost= 99.454379286\n",
      "Epoch: 0512 cost= 99.570239508\n",
      "Epoch: 0513 cost= 99.464456440\n",
      "Epoch: 0514 cost= 99.508811881\n",
      "Epoch: 0515 cost= 99.593429371\n",
      "Epoch: 0516 cost= 99.492678875\n",
      "Epoch: 0517 cost= 99.474091020\n",
      "Epoch: 0518 cost= 99.524154469\n",
      "Epoch: 0519 cost= 99.480558180\n",
      "Epoch: 0520 cost= 99.490535750\n",
      "Epoch: 0521 cost= 99.471005998\n",
      "Epoch: 0522 cost= 99.356195429\n",
      "Epoch: 0523 cost= 99.429330486\n",
      "Epoch: 0524 cost= 99.424731806\n",
      "Epoch: 0525 cost= 99.383603419\n",
      "Epoch: 0526 cost= 99.437087014\n",
      "Epoch: 0527 cost= 99.497250463\n",
      "Epoch: 0528 cost= 99.450367543\n",
      "Epoch: 0529 cost= 99.665716386\n",
      "Epoch: 0530 cost= 99.362183075\n",
      "Epoch: 0531 cost= 99.448996332\n",
      "Epoch: 0532 cost= 99.442024134\n",
      "Epoch: 0533 cost= 99.406686124\n",
      "Epoch: 0534 cost= 99.267125577\n",
      "Epoch: 0535 cost= 99.461626518\n",
      "Epoch: 0536 cost= 99.480061215\n",
      "Epoch: 0537 cost= 99.457929785\n",
      "Epoch: 0538 cost= 99.435681291\n",
      "Epoch: 0539 cost= 99.513927834\n",
      "Epoch: 0540 cost= 99.232122803\n",
      "Epoch: 0541 cost= 99.437807992\n",
      "Epoch: 0542 cost= 99.477623721\n",
      "Epoch: 0543 cost= 99.428633090\n",
      "Epoch: 0544 cost= 99.463686260\n",
      "Epoch: 0545 cost= 99.459206501\n",
      "Epoch: 0546 cost= 99.307303578\n",
      "Epoch: 0547 cost= 99.554947413\n",
      "Epoch: 0548 cost= 99.357226854\n",
      "Epoch: 0549 cost= 99.408958976\n",
      "Epoch: 0550 cost= 99.505451799\n",
      "Epoch: 0551 cost= 99.439070129\n",
      "Epoch: 0552 cost= 99.379601718\n",
      "Epoch: 0553 cost= 99.372448453\n",
      "Epoch: 0554 cost= 99.409313618\n",
      "Epoch: 0555 cost= 99.336082181\n",
      "Epoch: 0556 cost= 99.294157174\n",
      "Epoch: 0557 cost= 99.412513150\n",
      "Epoch: 0558 cost= 99.396272569\n",
      "Epoch: 0559 cost= 99.386085136\n",
      "Epoch: 0560 cost= 99.437576696\n",
      "Epoch: 0561 cost= 99.402072157\n",
      "Epoch: 0562 cost= 99.302576141\n",
      "Epoch: 0563 cost= 99.444036269\n",
      "Epoch: 0564 cost= 99.470330048\n",
      "Epoch: 0565 cost= 99.365944658\n",
      "Epoch: 0566 cost= 99.279298276\n",
      "Epoch: 0567 cost= 99.302959622\n",
      "Epoch: 0568 cost= 99.323055600\n",
      "Epoch: 0569 cost= 99.341436698\n",
      "Epoch: 0570 cost= 99.356944816\n",
      "Epoch: 0571 cost= 99.309355122\n",
      "Epoch: 0572 cost= 99.280202429\n",
      "Epoch: 0573 cost= 99.366227833\n",
      "Epoch: 0574 cost= 99.377032693\n",
      "Epoch: 0575 cost= 99.366589536\n",
      "Epoch: 0576 cost= 99.352054568\n",
      "Epoch: 0577 cost= 99.301897167\n",
      "Epoch: 0578 cost= 99.373787953\n",
      "Epoch: 0579 cost= 99.133104803\n",
      "Epoch: 0580 cost= 99.492390567\n",
      "Epoch: 0581 cost= 99.369121011\n",
      "Epoch: 0582 cost= 99.305473716\n",
      "Epoch: 0583 cost= 99.329728616\n",
      "Epoch: 0584 cost= 99.243708288\n",
      "Epoch: 0585 cost= 99.426950781\n",
      "Epoch: 0586 cost= 99.311926921\n",
      "Epoch: 0587 cost= 99.349246271\n",
      "Epoch: 0588 cost= 99.284725411\n",
      "Epoch: 0589 cost= 99.365626554\n",
      "Epoch: 0590 cost= 99.340953286\n",
      "Epoch: 0591 cost= 99.263316872\n",
      "Epoch: 0592 cost= 99.375264615\n",
      "Epoch: 0593 cost= 99.347741255\n",
      "Epoch: 0594 cost= 99.334513231\n",
      "Epoch: 0595 cost= 99.235389030\n",
      "Epoch: 0596 cost= 99.245239147\n",
      "Epoch: 0597 cost= 99.347524567\n",
      "Epoch: 0598 cost= 99.321731664\n",
      "Epoch: 0599 cost= 99.250416107\n",
      "Epoch: 0600 cost= 99.484152291\n",
      "Epoch: 0601 cost= 99.151584695\n",
      "Epoch: 0602 cost= 99.339453749\n",
      "Epoch: 0603 cost= 99.263996416\n",
      "Epoch: 0604 cost= 99.322316895\n",
      "Epoch: 0605 cost= 99.207890611\n",
      "Epoch: 0606 cost= 99.467516785\n",
      "Epoch: 0607 cost= 99.302445179\n",
      "Epoch: 0608 cost= 99.202772245\n",
      "Epoch: 0609 cost= 99.292881983\n",
      "Epoch: 0610 cost= 99.292091827\n",
      "Epoch: 0611 cost= 99.293168113\n",
      "Epoch: 0612 cost= 99.344014074\n",
      "Epoch: 0613 cost= 99.234023229\n",
      "Epoch: 0614 cost= 99.331274331\n",
      "Epoch: 0615 cost= 99.293151204\n",
      "Epoch: 0616 cost= 99.245231961\n",
      "Epoch: 0617 cost= 99.233329842\n",
      "Epoch: 0618 cost= 99.297576086\n",
      "Epoch: 0619 cost= 99.215591167\n",
      "Epoch: 0620 cost= 99.283463482\n",
      "Epoch: 0621 cost= 99.315377960\n",
      "Epoch: 0622 cost= 99.250958835\n",
      "Epoch: 0623 cost= 99.170206881\n",
      "Epoch: 0624 cost= 99.350391111\n",
      "Epoch: 0625 cost= 99.246080960\n",
      "Epoch: 0626 cost= 99.297888877\n",
      "Epoch: 0627 cost= 99.217901320\n",
      "Epoch: 0628 cost= 99.222043610\n",
      "Epoch: 0629 cost= 99.286068101\n",
      "Epoch: 0630 cost= 99.280861941\n",
      "Epoch: 0631 cost= 99.271144159\n",
      "Epoch: 0632 cost= 99.198646892\n",
      "Epoch: 0633 cost= 99.235548442\n",
      "Epoch: 0634 cost= 99.233116233\n",
      "Epoch: 0635 cost= 99.181686790\n",
      "Epoch: 0636 cost= 99.248582320\n",
      "Epoch: 0637 cost= 99.290032695\n",
      "Epoch: 0638 cost= 99.171312783\n",
      "Epoch: 0639 cost= 99.255511100\n",
      "Epoch: 0640 cost= 99.310064004\n",
      "Epoch: 0641 cost= 99.258382582\n",
      "Epoch: 0642 cost= 99.241525546\n",
      "Epoch: 0643 cost= 99.192538133\n",
      "Epoch: 0644 cost= 99.240341228\n",
      "Epoch: 0645 cost= 99.193934715\n",
      "Epoch: 0646 cost= 99.192559371\n",
      "Epoch: 0647 cost= 99.226965804\n",
      "Epoch: 0648 cost= 99.234818504\n",
      "Epoch: 0649 cost= 99.171628751\n",
      "Epoch: 0650 cost= 99.305665075\n",
      "Epoch: 0651 cost= 99.159311510\n",
      "Epoch: 0652 cost= 99.195036968\n",
      "Epoch: 0653 cost= 99.219597584\n",
      "Epoch: 0654 cost= 99.171141510\n",
      "Epoch: 0655 cost= 99.010914307\n",
      "Epoch: 0656 cost= 99.265957877\n",
      "Epoch: 0657 cost= 99.283145475\n",
      "Epoch: 0658 cost= 99.210115634\n",
      "Epoch: 0659 cost= 99.214396778\n",
      "Epoch: 0660 cost= 99.245001623\n",
      "Epoch: 0661 cost= 99.112565183\n",
      "Epoch: 0662 cost= 99.264714342\n",
      "Epoch: 0663 cost= 99.161811745\n",
      "Epoch: 0664 cost= 99.223769448\n",
      "Epoch: 0665 cost= 99.108660181\n",
      "Epoch: 0666 cost= 99.200666532\n",
      "Epoch: 0667 cost= 99.173687106\n",
      "Epoch: 0668 cost= 99.179587569\n",
      "Epoch: 0669 cost= 99.267544611\n",
      "Epoch: 0670 cost= 99.179068701\n",
      "Epoch: 0671 cost= 99.342702234\n",
      "Epoch: 0672 cost= 98.997273629\n",
      "Epoch: 0673 cost= 99.117192688\n",
      "Epoch: 0674 cost= 99.163939681\n",
      "Epoch: 0675 cost= 99.178311421\n",
      "Epoch: 0676 cost= 99.178460999\n",
      "Epoch: 0677 cost= 99.112433569\n",
      "Epoch: 0678 cost= 99.266087050\n",
      "Epoch: 0679 cost= 99.036457575\n",
      "Epoch: 0680 cost= 99.217992609\n",
      "Epoch: 0681 cost= 99.183698398\n",
      "Epoch: 0682 cost= 99.104922069\n",
      "Epoch: 0683 cost= 99.129190161\n",
      "Epoch: 0684 cost= 99.220165835\n",
      "Epoch: 0685 cost= 99.236792256\n",
      "Epoch: 0686 cost= 99.184991302\n",
      "Epoch: 0687 cost= 99.262863783\n",
      "Epoch: 0688 cost= 99.133837641\n",
      "Epoch: 0689 cost= 99.172724443\n",
      "Epoch: 0690 cost= 99.052214869\n",
      "Epoch: 0691 cost= 99.245641743\n",
      "Epoch: 0692 cost= 99.113230438\n",
      "Epoch: 0693 cost= 99.178412517\n",
      "Epoch: 0694 cost= 99.092542517\n",
      "Epoch: 0695 cost= 99.099939561\n",
      "Epoch: 0696 cost= 99.201155021\n",
      "Epoch: 0697 cost= 99.171307026\n",
      "Epoch: 0698 cost= 99.099742446\n",
      "Epoch: 0699 cost= 99.126475303\n",
      "Epoch: 0700 cost= 99.192875574\n",
      "Epoch: 0701 cost= 99.136406056\n",
      "Epoch: 0702 cost= 99.132045094\n",
      "Epoch: 0703 cost= 99.150578322\n",
      "Epoch: 0704 cost= 99.061994990\n",
      "Epoch: 0705 cost= 99.079420929\n",
      "Epoch: 0706 cost= 99.125058899\n",
      "Epoch: 0707 cost= 99.122469177\n",
      "Epoch: 0708 cost= 99.122403453\n",
      "Epoch: 0709 cost= 98.991876304\n",
      "Epoch: 0710 cost= 99.131755565\n",
      "Epoch: 0711 cost= 99.095643033\n",
      "Epoch: 0712 cost= 99.060943201\n",
      "Epoch: 0713 cost= 99.113323142\n",
      "Epoch: 0714 cost= 99.152371521\n",
      "Epoch: 0715 cost= 99.076033200\n",
      "Epoch: 0716 cost= 99.183525945\n",
      "Epoch: 0717 cost= 99.043693542\n",
      "Epoch: 0718 cost= 99.051038347\n",
      "Epoch: 0719 cost= 99.125479681\n",
      "Epoch: 0720 cost= 99.149177357\n",
      "Epoch: 0721 cost= 99.129312453\n",
      "Epoch: 0722 cost= 99.197443432\n",
      "Epoch: 0723 cost= 98.990159343\n",
      "Epoch: 0724 cost= 99.112827037\n",
      "Epoch: 0725 cost= 99.117439020\n",
      "Epoch: 0726 cost= 99.112789473\n",
      "Epoch: 0727 cost= 99.026967066\n",
      "Epoch: 0728 cost= 99.176516030\n",
      "Epoch: 0729 cost= 99.126021396\n",
      "Epoch: 0730 cost= 99.128442591\n",
      "Epoch: 0731 cost= 99.078218217\n",
      "Epoch: 0732 cost= 99.088039773\n",
      "Epoch: 0733 cost= 99.025861206\n",
      "Epoch: 0734 cost= 99.156338404\n",
      "Epoch: 0735 cost= 99.145932881\n",
      "Epoch: 0736 cost= 99.099284862\n",
      "Epoch: 0737 cost= 99.108272719\n",
      "Epoch: 0738 cost= 99.060318354\n",
      "Epoch: 0739 cost= 99.085433031\n",
      "Epoch: 0740 cost= 99.140704152\n",
      "Epoch: 0741 cost= 99.123066198\n",
      "Epoch: 0742 cost= 99.132368677\n",
      "Epoch: 0743 cost= 98.884551197\n",
      "Epoch: 0744 cost= 99.049454609\n",
      "Epoch: 0745 cost= 99.074591647\n",
      "Epoch: 0746 cost= 99.020954784\n",
      "Epoch: 0747 cost= 99.081684903\n",
      "Epoch: 0748 cost= 99.184181047\n",
      "Epoch: 0749 cost= 98.939038780\n",
      "Epoch: 0750 cost= 99.067475489\n",
      "Epoch: 0751 cost= 99.191600231\n",
      "Epoch: 0752 cost= 99.074723192\n",
      "Epoch: 0753 cost= 99.087279649\n",
      "Epoch: 0754 cost= 99.145542616\n",
      "Epoch: 0755 cost= 99.038582445\n",
      "Epoch: 0756 cost= 99.017365473\n",
      "Epoch: 0757 cost= 99.037099720\n",
      "Epoch: 0758 cost= 99.100319796\n",
      "Epoch: 0759 cost= 98.981429360\n",
      "Epoch: 0760 cost= 99.000525859\n",
      "Epoch: 0761 cost= 99.092454113\n",
      "Epoch: 0762 cost= 99.068834478\n",
      "Epoch: 0763 cost= 99.064464458\n",
      "Epoch: 0764 cost= 99.045819341\n",
      "Epoch: 0765 cost= 99.044202701\n",
      "Epoch: 0766 cost= 99.010008698\n",
      "Epoch: 0767 cost= 99.039762379\n",
      "Epoch: 0768 cost= 99.045195229\n",
      "Epoch: 0769 cost= 98.981101255\n",
      "Epoch: 0770 cost= 99.033541634\n",
      "Epoch: 0771 cost= 99.005863301\n",
      "Epoch: 0772 cost= 99.045069039\n",
      "Epoch: 0773 cost= 99.068021296\n",
      "Epoch: 0774 cost= 99.067944128\n",
      "Epoch: 0775 cost= 99.057173906\n",
      "Epoch: 0776 cost= 99.020532865\n",
      "Epoch: 0777 cost= 98.969514895\n",
      "Epoch: 0778 cost= 99.080031072\n",
      "Epoch: 0779 cost= 99.005848694\n",
      "Epoch: 0780 cost= 98.926267062\n",
      "Epoch: 0781 cost= 99.058133309\n",
      "Epoch: 0782 cost= 99.003009352\n",
      "Epoch: 0783 cost= 98.893071261\n",
      "Epoch: 0784 cost= 99.005981959\n",
      "Epoch: 0785 cost= 99.044843181\n",
      "Epoch: 0786 cost= 98.942684812\n",
      "Epoch: 0787 cost= 99.069865209\n",
      "Epoch: 0788 cost= 98.978804821\n",
      "Epoch: 0789 cost= 99.103878243\n",
      "Epoch: 0790 cost= 98.968218592\n",
      "Epoch: 0791 cost= 99.067964436\n",
      "Epoch: 0792 cost= 99.082786047\n",
      "Epoch: 0793 cost= 99.076478230\n",
      "Epoch: 0794 cost= 98.955689406\n",
      "Epoch: 0795 cost= 99.097062309\n",
      "Epoch: 0796 cost= 98.998497037\n",
      "Epoch: 0797 cost= 98.953550471\n",
      "Epoch: 0798 cost= 99.050318021\n",
      "Epoch: 0799 cost= 99.013426971\n",
      "Epoch: 0800 cost= 98.995096893\n",
      "Epoch: 0801 cost= 98.952838606\n",
      "Epoch: 0802 cost= 99.054408958\n",
      "Epoch: 0803 cost= 98.934762837\n",
      "Epoch: 0804 cost= 99.045250896\n",
      "Epoch: 0805 cost= 98.939162681\n",
      "Epoch: 0806 cost= 98.971873002\n",
      "Epoch: 0807 cost= 98.981139415\n",
      "Epoch: 0808 cost= 98.972988892\n",
      "Epoch: 0809 cost= 99.009480660\n",
      "Epoch: 0810 cost= 99.031819971\n",
      "Epoch: 0811 cost= 99.022189498\n",
      "Epoch: 0812 cost= 98.981901051\n",
      "Epoch: 0813 cost= 98.912841006\n",
      "Epoch: 0814 cost= 98.931204196\n",
      "Epoch: 0815 cost= 98.998566603\n",
      "Epoch: 0816 cost= 98.974194641\n",
      "Epoch: 0817 cost= 99.087822474\n",
      "Epoch: 0818 cost= 99.008071539\n",
      "Epoch: 0819 cost= 98.945509158\n",
      "Epoch: 0820 cost= 98.961511758\n",
      "Epoch: 0821 cost= 98.968650679\n",
      "Epoch: 0822 cost= 98.937024619\n",
      "Epoch: 0823 cost= 99.046080267\n",
      "Epoch: 0824 cost= 99.002154153\n",
      "Epoch: 0825 cost= 98.873513530\n",
      "Epoch: 0826 cost= 99.107827370\n",
      "Epoch: 0827 cost= 98.950617579\n",
      "Epoch: 0828 cost= 98.999289676\n",
      "Epoch: 0829 cost= 98.966286885\n",
      "Epoch: 0830 cost= 99.100191956\n",
      "Epoch: 0831 cost= 99.041537476\n",
      "Epoch: 0832 cost= 98.836169323\n",
      "Epoch: 0833 cost= 98.859510970\n",
      "Epoch: 0834 cost= 99.053836545\n",
      "Epoch: 0835 cost= 98.919633678\n",
      "Epoch: 0836 cost= 99.026542594\n",
      "Epoch: 0837 cost= 98.898434448\n",
      "Epoch: 0838 cost= 98.922887018\n",
      "Epoch: 0839 cost= 98.908798454\n",
      "Epoch: 0840 cost= 98.956755676\n",
      "Epoch: 0841 cost= 98.999184931\n",
      "Epoch: 0842 cost= 99.093541759\n",
      "Epoch: 0843 cost= 98.925522114\n",
      "Epoch: 0844 cost= 98.985931424\n",
      "Epoch: 0845 cost= 98.957786671\n",
      "Epoch: 0846 cost= 98.993159499\n",
      "Epoch: 0847 cost= 98.978806360\n",
      "Epoch: 0848 cost= 99.051255618\n",
      "Epoch: 0849 cost= 98.956470018\n",
      "Epoch: 0850 cost= 99.011924341\n",
      "Epoch: 0851 cost= 98.914891427\n",
      "Epoch: 0852 cost= 98.896899137\n",
      "Epoch: 0853 cost= 98.827658594\n",
      "Epoch: 0854 cost= 99.136772197\n",
      "Epoch: 0855 cost= 98.921001823\n",
      "Epoch: 0856 cost= 98.822851979\n",
      "Epoch: 0857 cost= 98.967652158\n",
      "Epoch: 0858 cost= 98.744856123\n",
      "Epoch: 0859 cost= 99.000723489\n",
      "Epoch: 0860 cost= 98.985786216\n",
      "Epoch: 0861 cost= 98.950099737\n",
      "Epoch: 0862 cost= 98.949503326\n",
      "Epoch: 0863 cost= 99.007186182\n",
      "Epoch: 0864 cost= 98.995726943\n",
      "Epoch: 0865 cost= 98.829392409\n",
      "Epoch: 0866 cost= 98.973220423\n",
      "Epoch: 0867 cost= 98.929164054\n",
      "Epoch: 0868 cost= 98.907049172\n",
      "Epoch: 0869 cost= 98.908744382\n",
      "Epoch: 0870 cost= 98.975399905\n",
      "Epoch: 0871 cost= 98.993231257\n",
      "Epoch: 0872 cost= 98.930512501\n",
      "Epoch: 0873 cost= 98.942735623\n",
      "Epoch: 0874 cost= 98.915070426\n",
      "Epoch: 0875 cost= 98.992596616\n",
      "Epoch: 0876 cost= 98.910768266\n",
      "Epoch: 0877 cost= 98.860954201\n",
      "Epoch: 0878 cost= 98.924689192\n",
      "Epoch: 0879 cost= 98.922089081\n",
      "Epoch: 0880 cost= 98.962037631\n",
      "Epoch: 0881 cost= 98.896656050\n",
      "Epoch: 0882 cost= 98.911071569\n",
      "Epoch: 0883 cost= 98.794467621\n",
      "Epoch: 0884 cost= 98.943727722\n",
      "Epoch: 0885 cost= 98.979951158\n",
      "Epoch: 0886 cost= 98.893952512\n",
      "Epoch: 0887 cost= 98.924669925\n",
      "Epoch: 0888 cost= 98.795895108\n",
      "Epoch: 0889 cost= 99.002449729\n",
      "Epoch: 0890 cost= 98.873835366\n",
      "Epoch: 0891 cost= 98.915480014\n",
      "Epoch: 0892 cost= 98.858442757\n",
      "Epoch: 0893 cost= 98.907362366\n",
      "Epoch: 0894 cost= 98.868015608\n",
      "Epoch: 0895 cost= 98.877595256\n",
      "Epoch: 0896 cost= 98.982615426\n",
      "Epoch: 0897 cost= 98.969306127\n",
      "Epoch: 0898 cost= 98.943046223\n",
      "Epoch: 0899 cost= 98.876201241\n",
      "Epoch: 0900 cost= 98.942028698\n",
      "Epoch: 0901 cost= 98.883882918\n",
      "Epoch: 0902 cost= 98.829859272\n",
      "Epoch: 0903 cost= 99.085826194\n",
      "Epoch: 0904 cost= 98.728728471\n",
      "Epoch: 0905 cost= 98.940035165\n",
      "Epoch: 0906 cost= 98.890739926\n",
      "Epoch: 0907 cost= 98.877623666\n",
      "Epoch: 0908 cost= 98.868676661\n",
      "Epoch: 0909 cost= 98.892488376\n",
      "Epoch: 0910 cost= 98.914156425\n",
      "Epoch: 0911 cost= 98.914372975\n",
      "Epoch: 0912 cost= 98.934558258\n",
      "Epoch: 0913 cost= 98.879803356\n",
      "Epoch: 0914 cost= 98.746916587\n",
      "Epoch: 0915 cost= 98.849473738\n",
      "Epoch: 0916 cost= 98.980787603\n",
      "Epoch: 0917 cost= 98.868524198\n",
      "Epoch: 0918 cost= 98.793276839\n",
      "Epoch: 0919 cost= 99.050279805\n",
      "Epoch: 0920 cost= 98.720412057\n",
      "Epoch: 0921 cost= 98.897707991\n",
      "Epoch: 0922 cost= 98.868428261\n",
      "Epoch: 0923 cost= 98.843567560\n",
      "Epoch: 0924 cost= 98.931668243\n",
      "Epoch: 0925 cost= 99.035938374\n",
      "Epoch: 0926 cost= 98.761501978\n",
      "Epoch: 0927 cost= 98.833955342\n",
      "Epoch: 0928 cost= 98.907192535\n",
      "Epoch: 0929 cost= 98.845112971\n",
      "Epoch: 0930 cost= 98.815486159\n",
      "Epoch: 0931 cost= 98.853861015\n",
      "Epoch: 0932 cost= 98.913670141\n",
      "Epoch: 0933 cost= 98.866939545\n",
      "Epoch: 0934 cost= 98.842516743\n",
      "Epoch: 0935 cost= 98.825907149\n",
      "Epoch: 0936 cost= 98.856232466\n",
      "Epoch: 0937 cost= 98.785610837\n",
      "Epoch: 0938 cost= 98.997283519\n",
      "Epoch: 0939 cost= 98.871419428\n",
      "Epoch: 0940 cost= 98.819367495\n",
      "Epoch: 0941 cost= 98.896458005\n",
      "Epoch: 0942 cost= 98.807173628\n",
      "Epoch: 0943 cost= 98.820843020\n",
      "Epoch: 0944 cost= 98.855315482\n",
      "Epoch: 0945 cost= 98.923989216\n",
      "Epoch: 0946 cost= 98.925868059\n",
      "Epoch: 0947 cost= 98.860169345\n",
      "Epoch: 0948 cost= 98.724893674\n",
      "Epoch: 0949 cost= 98.919307126\n",
      "Epoch: 0950 cost= 98.858485718\n",
      "Epoch: 0951 cost= 98.838797885\n",
      "Epoch: 0952 cost= 98.776371904\n",
      "Epoch: 0953 cost= 98.791439639\n",
      "Epoch: 0954 cost= 98.862232805\n",
      "Epoch: 0955 cost= 98.872646096\n",
      "Epoch: 0956 cost= 98.820137745\n",
      "Epoch: 0957 cost= 98.754459118\n",
      "Epoch: 0958 cost= 98.964765708\n",
      "Epoch: 0959 cost= 98.808370181\n",
      "Epoch: 0960 cost= 98.787448828\n",
      "Epoch: 0961 cost= 98.841420635\n",
      "Epoch: 0962 cost= 98.717873591\n",
      "Epoch: 0963 cost= 98.790671636\n",
      "Epoch: 0964 cost= 98.926710247\n",
      "Epoch: 0965 cost= 98.833719482\n",
      "Epoch: 0966 cost= 98.760563465\n",
      "Epoch: 0967 cost= 98.730978172\n",
      "Epoch: 0968 cost= 98.835024733\n",
      "Epoch: 0969 cost= 98.798059359\n",
      "Epoch: 0970 cost= 98.869772616\n",
      "Epoch: 0971 cost= 98.872275821\n",
      "Epoch: 0972 cost= 98.845987909\n",
      "Epoch: 0973 cost= 98.905669278\n",
      "Epoch: 0974 cost= 98.819045937\n",
      "Epoch: 0975 cost= 98.929985532\n",
      "Epoch: 0976 cost= 98.804518724\n",
      "Epoch: 0977 cost= 98.785479764\n",
      "Epoch: 0978 cost= 98.754623926\n",
      "Epoch: 0979 cost= 98.929805839\n",
      "Epoch: 0980 cost= 98.830086809\n",
      "Epoch: 0981 cost= 98.914316906\n",
      "Epoch: 0982 cost= 98.829766846\n",
      "Epoch: 0983 cost= 98.816847936\n",
      "Epoch: 0984 cost= 98.800921992\n",
      "Epoch: 0985 cost= 98.809299871\n",
      "Epoch: 0986 cost= 98.907117878\n",
      "Epoch: 0987 cost= 98.863113070\n",
      "Epoch: 0988 cost= 98.717615051\n",
      "Epoch: 0989 cost= 98.849476873\n",
      "Epoch: 0990 cost= 98.956027402\n",
      "Epoch: 0991 cost= 98.735846100\n",
      "Epoch: 0992 cost= 98.995648568\n",
      "Epoch: 0993 cost= 98.670740121\n",
      "Epoch: 0994 cost= 98.791581823\n",
      "Epoch: 0995 cost= 98.753798190\n",
      "Epoch: 0996 cost= 98.762564628\n",
      "Epoch: 0997 cost= 98.815267806\n",
      "Epoch: 0998 cost= 98.744626964\n",
      "Epoch: 0999 cost= 98.854614646\n",
      "Epoch: 1000 cost= 98.746382862\n",
      "Epoch: 0001 cost= 179.907428977\n",
      "Epoch: 0002 cost= 143.228345559\n",
      "Epoch: 0003 cost= 132.342386599\n",
      "Epoch: 0004 cost= 124.258398729\n",
      "Epoch: 0005 cost= 119.259317294\n",
      "Epoch: 0006 cost= 115.795866033\n",
      "Epoch: 0007 cost= 113.632666820\n",
      "Epoch: 0008 cost= 112.035366710\n",
      "Epoch: 0009 cost= 110.563021115\n",
      "Epoch: 0010 cost= 109.783773831\n",
      "Epoch: 0011 cost= 109.033746435\n",
      "Epoch: 0012 cost= 108.394433067\n",
      "Epoch: 0013 cost= 107.995627344\n",
      "Epoch: 0014 cost= 107.760868197\n",
      "Epoch: 0015 cost= 107.269876307\n",
      "Epoch: 0016 cost= 107.014008095\n",
      "Epoch: 0017 cost= 106.777972717\n",
      "Epoch: 0018 cost= 106.549749159\n",
      "Epoch: 0019 cost= 106.207161172\n",
      "Epoch: 0020 cost= 106.182082076\n",
      "Epoch: 0021 cost= 105.950759083\n",
      "Epoch: 0022 cost= 105.879484766\n",
      "Epoch: 0023 cost= 105.665730230\n",
      "Epoch: 0024 cost= 105.613870836\n",
      "Epoch: 0025 cost= 105.425650399\n",
      "Epoch: 0026 cost= 105.281348308\n",
      "Epoch: 0027 cost= 105.225462216\n",
      "Epoch: 0028 cost= 105.143608593\n",
      "Epoch: 0029 cost= 105.004592563\n",
      "Epoch: 0030 cost= 104.922941797\n",
      "Epoch: 0031 cost= 104.875671734\n",
      "Epoch: 0032 cost= 104.813653953\n",
      "Epoch: 0033 cost= 104.765112221\n",
      "Epoch: 0034 cost= 104.686239735\n",
      "Epoch: 0035 cost= 104.527774714\n",
      "Epoch: 0036 cost= 104.595305453\n",
      "Epoch: 0037 cost= 104.506680048\n",
      "Epoch: 0038 cost= 104.376619693\n",
      "Epoch: 0039 cost= 104.317788239\n",
      "Epoch: 0040 cost= 104.251485762\n",
      "Epoch: 0041 cost= 104.209719710\n",
      "Epoch: 0042 cost= 104.147639854\n",
      "Epoch: 0043 cost= 104.173090418\n",
      "Epoch: 0044 cost= 104.068201280\n",
      "Epoch: 0045 cost= 104.101739460\n",
      "Epoch: 0046 cost= 103.933493195\n",
      "Epoch: 0047 cost= 103.889878235\n",
      "Epoch: 0048 cost= 103.930350855\n",
      "Epoch: 0049 cost= 103.894697612\n",
      "Epoch: 0050 cost= 103.757480247\n",
      "Epoch: 0051 cost= 103.650458540\n",
      "Epoch: 0052 cost= 103.812046717\n",
      "Epoch: 0053 cost= 103.664882230\n",
      "Epoch: 0054 cost= 103.635021126\n",
      "Epoch: 0055 cost= 103.627664795\n",
      "Epoch: 0056 cost= 103.631478646\n",
      "Epoch: 0057 cost= 103.615302110\n",
      "Epoch: 0058 cost= 103.491490936\n",
      "Epoch: 0059 cost= 103.463705930\n",
      "Epoch: 0060 cost= 103.429539906\n",
      "Epoch: 0061 cost= 103.372608989\n",
      "Epoch: 0062 cost= 103.481906405\n",
      "Epoch: 0063 cost= 103.282259910\n",
      "Epoch: 0064 cost= 103.286235254\n",
      "Epoch: 0065 cost= 103.380699796\n",
      "Epoch: 0066 cost= 103.237058841\n",
      "Epoch: 0067 cost= 103.329004253\n",
      "Epoch: 0068 cost= 103.229070157\n",
      "Epoch: 0069 cost= 103.175677130\n",
      "Epoch: 0070 cost= 103.145877602\n",
      "Epoch: 0071 cost= 103.109391660\n",
      "Epoch: 0072 cost= 103.043441370\n",
      "Epoch: 0073 cost= 103.075396964\n",
      "Epoch: 0074 cost= 103.056375913\n",
      "Epoch: 0075 cost= 103.074389662\n",
      "Epoch: 0076 cost= 103.048119992\n",
      "Epoch: 0077 cost= 102.926861434\n",
      "Epoch: 0078 cost= 102.952439575\n",
      "Epoch: 0079 cost= 102.954459395\n",
      "Epoch: 0080 cost= 102.826617626\n",
      "Epoch: 0081 cost= 102.938647863\n",
      "Epoch: 0082 cost= 102.840538788\n",
      "Epoch: 0083 cost= 102.904639019\n",
      "Epoch: 0084 cost= 102.805122750\n",
      "Epoch: 0085 cost= 102.796868147\n",
      "Epoch: 0086 cost= 102.858488007\n",
      "Epoch: 0087 cost= 102.765159316\n",
      "Epoch: 0088 cost= 102.698576313\n",
      "Epoch: 0089 cost= 102.710915056\n",
      "Epoch: 0090 cost= 102.769082295\n",
      "Epoch: 0091 cost= 102.657317630\n",
      "Epoch: 0092 cost= 102.699464236\n",
      "Epoch: 0093 cost= 102.640076252\n",
      "Epoch: 0094 cost= 102.556951516\n",
      "Epoch: 0095 cost= 102.654638172\n",
      "Epoch: 0096 cost= 102.573539970\n",
      "Epoch: 0097 cost= 102.570061729\n",
      "Epoch: 0098 cost= 102.556872794\n",
      "Epoch: 0099 cost= 102.446016000\n",
      "Epoch: 0100 cost= 102.533643161\n",
      "Epoch: 0101 cost= 102.422404147\n",
      "Epoch: 0102 cost= 102.402658594\n",
      "Epoch: 0103 cost= 102.491725214\n",
      "Epoch: 0104 cost= 102.424873990\n",
      "Epoch: 0105 cost= 102.418194511\n",
      "Epoch: 0106 cost= 102.268982946\n",
      "Epoch: 0107 cost= 102.495334223\n",
      "Epoch: 0108 cost= 102.420897300\n",
      "Epoch: 0109 cost= 102.249659826\n",
      "Epoch: 0110 cost= 102.268026733\n",
      "Epoch: 0111 cost= 102.286656369\n",
      "Epoch: 0112 cost= 102.305163949\n",
      "Epoch: 0113 cost= 102.195684343\n",
      "Epoch: 0114 cost= 102.251606126\n",
      "Epoch: 0115 cost= 102.266847770\n",
      "Epoch: 0116 cost= 102.132011816\n",
      "Epoch: 0117 cost= 102.194924733\n",
      "Epoch: 0118 cost= 102.186707667\n",
      "Epoch: 0119 cost= 102.205954826\n",
      "Epoch: 0120 cost= 102.118233504\n",
      "Epoch: 0121 cost= 102.095911310\n",
      "Epoch: 0122 cost= 101.986872045\n",
      "Epoch: 0123 cost= 102.167678514\n",
      "Epoch: 0124 cost= 102.204113991\n",
      "Epoch: 0125 cost= 102.102200886\n",
      "Epoch: 0126 cost= 102.131901495\n",
      "Epoch: 0127 cost= 101.921050762\n",
      "Epoch: 0128 cost= 102.135169747\n",
      "Epoch: 0129 cost= 102.036275413\n",
      "Epoch: 0130 cost= 102.083863692\n",
      "Epoch: 0131 cost= 102.005523543\n",
      "Epoch: 0132 cost= 102.039942447\n",
      "Epoch: 0133 cost= 102.014761325\n",
      "Epoch: 0134 cost= 101.987609045\n",
      "Epoch: 0135 cost= 102.025125608\n",
      "Epoch: 0136 cost= 101.956138320\n",
      "Epoch: 0137 cost= 101.942657512\n",
      "Epoch: 0138 cost= 101.898211739\n",
      "Epoch: 0139 cost= 101.901326890\n",
      "Epoch: 0140 cost= 101.823915683\n",
      "Epoch: 0141 cost= 101.970206243\n",
      "Epoch: 0142 cost= 101.943057834\n",
      "Epoch: 0143 cost= 101.888763206\n",
      "Epoch: 0144 cost= 101.871946924\n",
      "Epoch: 0145 cost= 101.858929110\n",
      "Epoch: 0146 cost= 101.764972437\n",
      "Epoch: 0147 cost= 101.836204446\n",
      "Epoch: 0148 cost= 101.831100727\n",
      "Epoch: 0149 cost= 101.803546517\n",
      "Epoch: 0150 cost= 101.668645866\n",
      "Epoch: 0151 cost= 101.720072035\n",
      "Epoch: 0152 cost= 101.708061593\n",
      "Epoch: 0153 cost= 101.715574313\n",
      "Epoch: 0154 cost= 101.702015076\n",
      "Epoch: 0155 cost= 101.852048506\n",
      "Epoch: 0156 cost= 101.672906910\n",
      "Epoch: 0157 cost= 101.726806530\n",
      "Epoch: 0158 cost= 101.861236323\n",
      "Epoch: 0159 cost= 101.684111869\n",
      "Epoch: 0160 cost= 101.615128146\n",
      "Epoch: 0161 cost= 101.621311840\n",
      "Epoch: 0162 cost= 101.691718320\n",
      "Epoch: 0163 cost= 101.755380291\n",
      "Epoch: 0164 cost= 101.684865889\n",
      "Epoch: 0165 cost= 101.682945279\n",
      "Epoch: 0166 cost= 101.529117820\n",
      "Epoch: 0167 cost= 101.692134053\n",
      "Epoch: 0168 cost= 101.515748208\n",
      "Epoch: 0169 cost= 101.636330664\n",
      "Epoch: 0170 cost= 101.590425887\n",
      "Epoch: 0171 cost= 101.541417833\n",
      "Epoch: 0172 cost= 101.619451918\n",
      "Epoch: 0173 cost= 101.557881817\n",
      "Epoch: 0174 cost= 101.567063002\n",
      "Epoch: 0175 cost= 101.613029216\n",
      "Epoch: 0176 cost= 101.555838249\n",
      "Epoch: 0177 cost= 101.448134974\n",
      "Epoch: 0178 cost= 101.753633312\n",
      "Epoch: 0179 cost= 101.556528723\n",
      "Epoch: 0180 cost= 101.398127164\n",
      "Epoch: 0181 cost= 101.502113398\n",
      "Epoch: 0182 cost= 101.433420008\n",
      "Epoch: 0183 cost= 101.396322701\n",
      "Epoch: 0184 cost= 101.473765980\n",
      "Epoch: 0185 cost= 101.418045710\n",
      "Epoch: 0186 cost= 101.525924821\n",
      "Epoch: 0187 cost= 101.406084359\n",
      "Epoch: 0188 cost= 101.481174594\n",
      "Epoch: 0189 cost= 101.569699166\n",
      "Epoch: 0190 cost= 101.326993949\n",
      "Epoch: 0191 cost= 101.348906111\n",
      "Epoch: 0192 cost= 101.413538263\n",
      "Epoch: 0193 cost= 101.367409307\n",
      "Epoch: 0194 cost= 101.484321428\n",
      "Epoch: 0195 cost= 101.412959123\n",
      "Epoch: 0196 cost= 101.307651284\n",
      "Epoch: 0197 cost= 101.362773118\n",
      "Epoch: 0198 cost= 101.314706407\n",
      "Epoch: 0199 cost= 101.356696833\n",
      "Epoch: 0200 cost= 101.339839797\n",
      "Epoch: 0201 cost= 101.308130313\n",
      "Epoch: 0202 cost= 101.147981276\n",
      "Epoch: 0203 cost= 101.344142858\n",
      "Epoch: 0204 cost= 101.371874279\n",
      "Epoch: 0205 cost= 101.273139857\n",
      "Epoch: 0206 cost= 101.328437902\n",
      "Epoch: 0207 cost= 101.399646052\n",
      "Epoch: 0208 cost= 101.255235859\n",
      "Epoch: 0209 cost= 101.229035769\n",
      "Epoch: 0210 cost= 101.247156691\n",
      "Epoch: 0211 cost= 101.184169020\n",
      "Epoch: 0212 cost= 101.252945349\n",
      "Epoch: 0213 cost= 101.179228835\n",
      "Epoch: 0214 cost= 101.240954909\n",
      "Epoch: 0215 cost= 101.204946664\n",
      "Epoch: 0216 cost= 101.079195224\n",
      "Epoch: 0217 cost= 101.273495206\n",
      "Epoch: 0218 cost= 101.240631173\n",
      "Epoch: 0219 cost= 101.176534909\n",
      "Epoch: 0220 cost= 101.222428839\n",
      "Epoch: 0221 cost= 101.227992651\n",
      "Epoch: 0222 cost= 101.101847201\n",
      "Epoch: 0223 cost= 101.309315518\n",
      "Epoch: 0224 cost= 101.135991169\n",
      "Epoch: 0225 cost= 101.199386042\n",
      "Epoch: 0226 cost= 101.083826558\n",
      "Epoch: 0227 cost= 101.159795172\n",
      "Epoch: 0228 cost= 101.140119962\n",
      "Epoch: 0229 cost= 101.149255496\n",
      "Epoch: 0230 cost= 101.085249994\n",
      "Epoch: 0231 cost= 101.146089797\n",
      "Epoch: 0232 cost= 101.047345539\n",
      "Epoch: 0233 cost= 101.012105976\n",
      "Epoch: 0234 cost= 101.058429663\n",
      "Epoch: 0235 cost= 101.129089369\n",
      "Epoch: 0236 cost= 101.091070016\n",
      "Epoch: 0237 cost= 101.073319036\n",
      "Epoch: 0238 cost= 100.994236298\n",
      "Epoch: 0239 cost= 101.093280487\n",
      "Epoch: 0240 cost= 100.974880163\n",
      "Epoch: 0241 cost= 101.163308882\n",
      "Epoch: 0242 cost= 101.132209403\n",
      "Epoch: 0243 cost= 101.003373177\n",
      "Epoch: 0244 cost= 101.066965013\n",
      "Epoch: 0245 cost= 101.125472967\n",
      "Epoch: 0246 cost= 101.085551605\n",
      "Epoch: 0247 cost= 101.062706424\n",
      "Epoch: 0248 cost= 100.952518491\n",
      "Epoch: 0249 cost= 100.991526059\n",
      "Epoch: 0250 cost= 101.063946811\n",
      "Epoch: 0251 cost= 101.047797657\n",
      "Epoch: 0252 cost= 101.039780884\n",
      "Epoch: 0253 cost= 100.969778997\n",
      "Epoch: 0254 cost= 100.963826460\n",
      "Epoch: 0255 cost= 100.987029474\n",
      "Epoch: 0256 cost= 100.856700869\n",
      "Epoch: 0257 cost= 100.890655434\n",
      "Epoch: 0258 cost= 100.988968520\n",
      "Epoch: 0259 cost= 100.991477106\n",
      "Epoch: 0260 cost= 101.050704776\n",
      "Epoch: 0261 cost= 100.936607513\n",
      "Epoch: 0262 cost= 100.910617093\n",
      "Epoch: 0263 cost= 100.934260185\n",
      "Epoch: 0264 cost= 100.952327465\n",
      "Epoch: 0265 cost= 100.802761466\n",
      "Epoch: 0266 cost= 100.964620611\n",
      "Epoch: 0267 cost= 100.876148016\n",
      "Epoch: 0268 cost= 100.840375186\n",
      "Epoch: 0269 cost= 100.917090468\n",
      "Epoch: 0270 cost= 101.003886067\n",
      "Epoch: 0271 cost= 100.915256001\n",
      "Epoch: 0272 cost= 100.873408994\n",
      "Epoch: 0273 cost= 100.936197385\n",
      "Epoch: 0274 cost= 100.918390780\n",
      "Epoch: 0275 cost= 100.925664659\n",
      "Epoch: 0276 cost= 100.830959764\n",
      "Epoch: 0277 cost= 100.736158544\n",
      "Epoch: 0278 cost= 100.858386009\n",
      "Epoch: 0279 cost= 100.874850616\n",
      "Epoch: 0280 cost= 100.906668299\n",
      "Epoch: 0281 cost= 100.836166853\n",
      "Epoch: 0282 cost= 100.775212056\n",
      "Epoch: 0283 cost= 100.887062641\n",
      "Epoch: 0284 cost= 100.930328688\n",
      "Epoch: 0285 cost= 100.957950190\n",
      "Epoch: 0286 cost= 100.854715396\n",
      "Epoch: 0287 cost= 100.885213096\n",
      "Epoch: 0288 cost= 100.823360443\n",
      "Epoch: 0289 cost= 100.869815799\n",
      "Epoch: 0290 cost= 100.819437880\n",
      "Epoch: 0291 cost= 100.844781453\n",
      "Epoch: 0292 cost= 100.810311141\n",
      "Epoch: 0293 cost= 100.875404871\n",
      "Epoch: 0294 cost= 100.825166848\n",
      "Epoch: 0295 cost= 100.742406699\n",
      "Epoch: 0296 cost= 100.881839433\n",
      "Epoch: 0297 cost= 100.754482921\n",
      "Epoch: 0298 cost= 100.805792569\n",
      "Epoch: 0299 cost= 100.911061332\n",
      "Epoch: 0300 cost= 100.589738062\n",
      "Epoch: 0301 cost= 100.728016885\n",
      "Epoch: 0302 cost= 100.792513816\n",
      "Epoch: 0303 cost= 100.793628748\n",
      "Epoch: 0304 cost= 100.755359858\n",
      "Epoch: 0305 cost= 100.821478424\n",
      "Epoch: 0306 cost= 100.711930764\n",
      "Epoch: 0307 cost= 100.733119895\n",
      "Epoch: 0308 cost= 100.710340451\n",
      "Epoch: 0309 cost= 100.708853108\n",
      "Epoch: 0310 cost= 100.794496030\n",
      "Epoch: 0311 cost= 100.668119424\n",
      "Epoch: 0312 cost= 100.728580225\n",
      "Epoch: 0313 cost= 100.722254028\n",
      "Epoch: 0314 cost= 100.798237693\n",
      "Epoch: 0315 cost= 100.670787811\n",
      "Epoch: 0316 cost= 100.783691476\n",
      "Epoch: 0317 cost= 100.718510257\n",
      "Epoch: 0318 cost= 100.714957886\n",
      "Epoch: 0319 cost= 100.728456795\n",
      "Epoch: 0320 cost= 100.654183072\n",
      "Epoch: 0321 cost= 100.723822188\n",
      "Epoch: 0322 cost= 100.804641446\n",
      "Epoch: 0323 cost= 100.570795801\n",
      "Epoch: 0324 cost= 100.702499820\n",
      "Epoch: 0325 cost= 100.660303303\n",
      "Epoch: 0326 cost= 100.653680281\n",
      "Epoch: 0327 cost= 100.778600200\n",
      "Epoch: 0328 cost= 100.710311765\n",
      "Epoch: 0329 cost= 100.618741275\n",
      "Epoch: 0330 cost= 100.608690768\n",
      "Epoch: 0331 cost= 100.542920782\n",
      "Epoch: 0332 cost= 100.635042170\n",
      "Epoch: 0333 cost= 100.736506292\n",
      "Epoch: 0334 cost= 100.635767420\n",
      "Epoch: 0335 cost= 100.642529422\n",
      "Epoch: 0336 cost= 100.653176048\n",
      "Epoch: 0337 cost= 100.608529843\n",
      "Epoch: 0338 cost= 100.677298320\n",
      "Epoch: 0339 cost= 100.607033317\n",
      "Epoch: 0340 cost= 100.603082594\n",
      "Epoch: 0341 cost= 100.680496368\n",
      "Epoch: 0342 cost= 100.524028556\n",
      "Epoch: 0343 cost= 100.569067202\n",
      "Epoch: 0344 cost= 100.618627028\n",
      "Epoch: 0345 cost= 100.691375427\n",
      "Epoch: 0346 cost= 100.601288119\n",
      "Epoch: 0347 cost= 100.474379897\n",
      "Epoch: 0348 cost= 100.663931496\n",
      "Epoch: 0349 cost= 100.487326785\n",
      "Epoch: 0350 cost= 100.568653329\n",
      "Epoch: 0351 cost= 100.614079534\n",
      "Epoch: 0352 cost= 100.540753257\n",
      "Epoch: 0353 cost= 100.521920957\n",
      "Epoch: 0354 cost= 100.605056818\n",
      "Epoch: 0355 cost= 100.657952298\n",
      "Epoch: 0356 cost= 100.478120422\n",
      "Epoch: 0357 cost= 100.552724804\n",
      "Epoch: 0358 cost= 100.423220936\n",
      "Epoch: 0359 cost= 100.661777205\n",
      "Epoch: 0360 cost= 100.439724190\n",
      "Epoch: 0361 cost= 100.678747975\n",
      "Epoch: 0362 cost= 100.564686418\n",
      "Epoch: 0363 cost= 100.511889981\n",
      "Epoch: 0364 cost= 100.599382088\n",
      "Epoch: 0365 cost= 100.517148035\n",
      "Epoch: 0366 cost= 100.650220351\n",
      "Epoch: 0367 cost= 100.556638281\n",
      "Epoch: 0368 cost= 100.511360474\n",
      "Epoch: 0369 cost= 100.448307426\n",
      "Epoch: 0370 cost= 100.610911588\n",
      "Epoch: 0371 cost= 100.348279072\n",
      "Epoch: 0372 cost= 100.451476385\n",
      "Epoch: 0373 cost= 100.476088964\n",
      "Epoch: 0374 cost= 100.508258140\n",
      "Epoch: 0375 cost= 100.446129858\n",
      "Epoch: 0376 cost= 100.523855383\n",
      "Epoch: 0377 cost= 100.452113426\n",
      "Epoch: 0378 cost= 100.528747240\n",
      "Epoch: 0379 cost= 100.482866558\n",
      "Epoch: 0380 cost= 100.486475886\n",
      "Epoch: 0381 cost= 100.425199127\n",
      "Epoch: 0382 cost= 100.478170735\n",
      "Epoch: 0383 cost= 100.559983867\n",
      "Epoch: 0384 cost= 100.461691575\n",
      "Epoch: 0385 cost= 100.452083144\n",
      "Epoch: 0386 cost= 100.542783300\n",
      "Epoch: 0387 cost= 100.384436923\n",
      "Epoch: 0388 cost= 100.388286410\n",
      "Epoch: 0389 cost= 100.393736420\n",
      "Epoch: 0390 cost= 100.451246879\n",
      "Epoch: 0391 cost= 100.479853668\n",
      "Epoch: 0392 cost= 100.480480250\n",
      "Epoch: 0393 cost= 100.327274891\n",
      "Epoch: 0394 cost= 100.397603912\n",
      "Epoch: 0395 cost= 100.363242160\n",
      "Epoch: 0396 cost= 100.380942508\n",
      "Epoch: 0397 cost= 100.409122731\n",
      "Epoch: 0398 cost= 100.195615304\n",
      "Epoch: 0399 cost= 100.529015212\n",
      "Epoch: 0400 cost= 100.436556937\n",
      "Epoch: 0401 cost= 100.420282468\n",
      "Epoch: 0402 cost= 100.324236533\n",
      "Epoch: 0403 cost= 100.458226526\n",
      "Epoch: 0404 cost= 100.244163999\n",
      "Epoch: 0405 cost= 100.479545413\n",
      "Epoch: 0406 cost= 100.507333291\n",
      "Epoch: 0407 cost= 100.314195571\n",
      "Epoch: 0408 cost= 100.430583482\n",
      "Epoch: 0409 cost= 100.336120397\n",
      "Epoch: 0410 cost= 100.434901428\n",
      "Epoch: 0411 cost= 100.351643358\n",
      "Epoch: 0412 cost= 100.380939289\n",
      "Epoch: 0413 cost= 100.343734075\n",
      "Epoch: 0414 cost= 100.403095981\n",
      "Epoch: 0415 cost= 100.421135906\n",
      "Epoch: 0416 cost= 100.293317302\n",
      "Epoch: 0417 cost= 100.401226987\n",
      "Epoch: 0418 cost= 100.350723627\n",
      "Epoch: 0419 cost= 100.529289967\n",
      "Epoch: 0420 cost= 100.217050351\n",
      "Epoch: 0421 cost= 100.403415111\n",
      "Epoch: 0422 cost= 100.324264998\n",
      "Epoch: 0423 cost= 100.354641002\n",
      "Epoch: 0424 cost= 100.246298925\n",
      "Epoch: 0425 cost= 100.481332328\n",
      "Epoch: 0426 cost= 100.395320878\n",
      "Epoch: 0427 cost= 100.181851307\n",
      "Epoch: 0428 cost= 100.342547677\n",
      "Epoch: 0429 cost= 100.346923565\n",
      "Epoch: 0430 cost= 100.329114796\n",
      "Epoch: 0431 cost= 100.337841256\n",
      "Epoch: 0432 cost= 100.257042958\n",
      "Epoch: 0433 cost= 100.427806979\n",
      "Epoch: 0434 cost= 100.324258090\n",
      "Epoch: 0435 cost= 100.282780914\n",
      "Epoch: 0436 cost= 100.253193651\n",
      "Epoch: 0437 cost= 100.245765450\n",
      "Epoch: 0438 cost= 100.287877336\n",
      "Epoch: 0439 cost= 100.278475189\n",
      "Epoch: 0440 cost= 100.347823889\n",
      "Epoch: 0441 cost= 100.245372065\n",
      "Epoch: 0442 cost= 100.275391554\n",
      "Epoch: 0443 cost= 100.281111311\n",
      "Epoch: 0444 cost= 100.284049377\n",
      "Epoch: 0445 cost= 100.273407510\n",
      "Epoch: 0446 cost= 100.361618847\n",
      "Epoch: 0447 cost= 100.276303739\n",
      "Epoch: 0448 cost= 100.276598927\n",
      "Epoch: 0449 cost= 100.357070590\n",
      "Epoch: 0450 cost= 100.246202601\n",
      "Epoch: 0451 cost= 100.211789329\n",
      "Epoch: 0452 cost= 100.385117146\n",
      "Epoch: 0453 cost= 100.158193054\n",
      "Epoch: 0454 cost= 100.247878279\n",
      "Epoch: 0455 cost= 100.211283458\n",
      "Epoch: 0456 cost= 100.268588326\n",
      "Epoch: 0457 cost= 100.246295638\n",
      "Epoch: 0458 cost= 100.142414273\n",
      "Epoch: 0459 cost= 100.269114519\n",
      "Epoch: 0460 cost= 100.299656733\n",
      "Epoch: 0461 cost= 100.276921234\n",
      "Epoch: 0462 cost= 100.230630257\n",
      "Epoch: 0463 cost= 100.237258120\n",
      "Epoch: 0464 cost= 100.261326460\n",
      "Epoch: 0465 cost= 100.283187395\n",
      "Epoch: 0466 cost= 100.301064148\n",
      "Epoch: 0467 cost= 100.254801774\n",
      "Epoch: 0468 cost= 100.209847717\n",
      "Epoch: 0469 cost= 100.202956071\n",
      "Epoch: 0470 cost= 100.269596461\n",
      "Epoch: 0471 cost= 100.164695365\n",
      "Epoch: 0472 cost= 100.201715851\n",
      "Epoch: 0473 cost= 100.209216614\n",
      "Epoch: 0474 cost= 100.240022528\n",
      "Epoch: 0475 cost= 100.190299766\n",
      "Epoch: 0476 cost= 100.244127738\n",
      "Epoch: 0477 cost= 100.154449657\n",
      "Epoch: 0478 cost= 100.242524317\n",
      "Epoch: 0479 cost= 100.191479603\n",
      "Epoch: 0480 cost= 100.374516310\n",
      "Epoch: 0481 cost= 100.168865551\n",
      "Epoch: 0482 cost= 100.203128648\n",
      "Epoch: 0483 cost= 100.134576347\n",
      "Epoch: 0484 cost= 100.170252547\n",
      "Epoch: 0485 cost= 100.365019934\n",
      "Epoch: 0486 cost= 100.136172638\n",
      "Epoch: 0487 cost= 100.154968026\n",
      "Epoch: 0488 cost= 100.146356617\n",
      "Epoch: 0489 cost= 100.237627217\n",
      "Epoch: 0490 cost= 100.095703194\n",
      "Epoch: 0491 cost= 100.081989413\n",
      "Epoch: 0492 cost= 100.181533592\n",
      "Epoch: 0493 cost= 100.186550668\n",
      "Epoch: 0494 cost= 100.139500067\n",
      "Epoch: 0495 cost= 100.209008373\n",
      "Epoch: 0496 cost= 100.152650882\n",
      "Epoch: 0497 cost= 100.199666471\n",
      "Epoch: 0498 cost= 100.090400030\n",
      "Epoch: 0499 cost= 100.194346660\n",
      "Epoch: 0500 cost= 100.209396126\n",
      "Epoch: 0501 cost= 99.989814800\n",
      "Epoch: 0502 cost= 100.096459850\n",
      "Epoch: 0503 cost= 100.222201885\n",
      "Epoch: 0504 cost= 100.113182096\n",
      "Epoch: 0505 cost= 100.201303864\n",
      "Epoch: 0506 cost= 100.129906755\n",
      "Epoch: 0507 cost= 100.200931535\n",
      "Epoch: 0508 cost= 100.095471427\n",
      "Epoch: 0509 cost= 100.122482605\n",
      "Epoch: 0510 cost= 100.176514782\n",
      "Epoch: 0511 cost= 100.142579595\n",
      "Epoch: 0512 cost= 100.188567796\n",
      "Epoch: 0513 cost= 100.082066206\n",
      "Epoch: 0514 cost= 100.140840745\n",
      "Epoch: 0515 cost= 100.141677024\n",
      "Epoch: 0516 cost= 100.112670843\n",
      "Epoch: 0517 cost= 100.149528822\n",
      "Epoch: 0518 cost= 100.119226449\n",
      "Epoch: 0519 cost= 100.032706174\n",
      "Epoch: 0520 cost= 100.096278673\n",
      "Epoch: 0521 cost= 100.184431471\n",
      "Epoch: 0522 cost= 100.080021778\n",
      "Epoch: 0523 cost= 100.115906691\n",
      "Epoch: 0524 cost= 100.167449826\n",
      "Epoch: 0525 cost= 99.983140342\n",
      "Epoch: 0526 cost= 100.080846669\n",
      "Epoch: 0527 cost= 100.089244759\n",
      "Epoch: 0528 cost= 100.065768155\n",
      "Epoch: 0529 cost= 100.127188318\n",
      "Epoch: 0530 cost= 100.231801189\n",
      "Epoch: 0531 cost= 100.044526353\n",
      "Epoch: 0532 cost= 100.129526381\n",
      "Epoch: 0533 cost= 100.090989824\n",
      "Epoch: 0534 cost= 99.959434814\n",
      "Epoch: 0535 cost= 100.089783325\n",
      "Epoch: 0536 cost= 100.106910026\n",
      "Epoch: 0537 cost= 100.094322454\n",
      "Epoch: 0538 cost= 100.051638114\n",
      "Epoch: 0539 cost= 100.045291928\n",
      "Epoch: 0540 cost= 100.074003060\n",
      "Epoch: 0541 cost= 100.018702656\n",
      "Epoch: 0542 cost= 100.100297311\n",
      "Epoch: 0543 cost= 100.006219385\n",
      "Epoch: 0544 cost= 100.116095678\n",
      "Epoch: 0545 cost= 100.141643247\n",
      "Epoch: 0546 cost= 100.138483207\n",
      "Epoch: 0547 cost= 100.073643535\n",
      "Epoch: 0548 cost= 100.011134630\n",
      "Epoch: 0549 cost= 100.060630590\n",
      "Epoch: 0550 cost= 99.981348835\n",
      "Epoch: 0551 cost= 100.129825328\n",
      "Epoch: 0552 cost= 99.967242515\n",
      "Epoch: 0553 cost= 100.004956540\n",
      "Epoch: 0554 cost= 100.149159019\n",
      "Epoch: 0555 cost= 100.046174344\n",
      "Epoch: 0556 cost= 100.091494501\n",
      "Epoch: 0557 cost= 100.081734799\n",
      "Epoch: 0558 cost= 100.164489649\n",
      "Epoch: 0559 cost= 100.078467976\n",
      "Epoch: 0560 cost= 99.947168898\n",
      "Epoch: 0561 cost= 100.021029275\n",
      "Epoch: 0562 cost= 99.939928936\n",
      "Epoch: 0563 cost= 100.218667603\n",
      "Epoch: 0564 cost= 99.908799674\n",
      "Epoch: 0565 cost= 100.054944666\n",
      "Epoch: 0566 cost= 100.083712880\n",
      "Epoch: 0567 cost= 100.057049131\n",
      "Epoch: 0568 cost= 99.959359242\n",
      "Epoch: 0569 cost= 100.030112971\n",
      "Epoch: 0570 cost= 100.136369546\n",
      "Epoch: 0571 cost= 100.075604276\n",
      "Epoch: 0572 cost= 100.020747778\n",
      "Epoch: 0573 cost= 100.071707417\n",
      "Epoch: 0574 cost= 99.891571419\n",
      "Epoch: 0575 cost= 100.016244368\n",
      "Epoch: 0576 cost= 99.987058938\n",
      "Epoch: 0577 cost= 100.014139293\n",
      "Epoch: 0578 cost= 99.981539751\n",
      "Epoch: 0579 cost= 99.963760917\n",
      "Epoch: 0580 cost= 100.043371513\n",
      "Epoch: 0581 cost= 100.059490412\n",
      "Epoch: 0582 cost= 100.033517747\n",
      "Epoch: 0583 cost= 100.049820987\n",
      "Epoch: 0584 cost= 100.052466417\n",
      "Epoch: 0585 cost= 100.029263833\n",
      "Epoch: 0586 cost= 99.991499856\n",
      "Epoch: 0587 cost= 100.109781619\n",
      "Epoch: 0588 cost= 100.007564434\n",
      "Epoch: 0589 cost= 99.995908550\n",
      "Epoch: 0590 cost= 99.984594546\n",
      "Epoch: 0591 cost= 99.935482649\n",
      "Epoch: 0592 cost= 99.933825059\n",
      "Epoch: 0593 cost= 99.985649969\n",
      "Epoch: 0594 cost= 99.922173476\n",
      "Epoch: 0595 cost= 100.077805953\n",
      "Epoch: 0596 cost= 99.948837696\n",
      "Epoch: 0597 cost= 100.104310261\n",
      "Epoch: 0598 cost= 99.951317208\n",
      "Epoch: 0599 cost= 99.979314853\n",
      "Epoch: 0600 cost= 99.945251617\n",
      "Epoch: 0601 cost= 100.011152482\n",
      "Epoch: 0602 cost= 99.970435458\n",
      "Epoch: 0603 cost= 100.034045563\n",
      "Epoch: 0604 cost= 100.052803442\n",
      "Epoch: 0605 cost= 99.986009341\n",
      "Epoch: 0606 cost= 99.838526667\n",
      "Epoch: 0607 cost= 100.085440826\n",
      "Epoch: 0608 cost= 99.982751132\n",
      "Epoch: 0609 cost= 99.971795183\n",
      "Epoch: 0610 cost= 99.976236475\n",
      "Epoch: 0611 cost= 99.990802307\n",
      "Epoch: 0612 cost= 99.897520905\n",
      "Epoch: 0613 cost= 99.995441506\n",
      "Epoch: 0614 cost= 99.998333712\n",
      "Epoch: 0615 cost= 99.981848672\n",
      "Epoch: 0616 cost= 99.924815383\n",
      "Epoch: 0617 cost= 99.988759793\n",
      "Epoch: 0618 cost= 99.858944189\n",
      "Epoch: 0619 cost= 100.034067133\n",
      "Epoch: 0620 cost= 99.808513017\n",
      "Epoch: 0621 cost= 99.941580283\n",
      "Epoch: 0622 cost= 99.957500347\n",
      "Epoch: 0623 cost= 99.791382488\n",
      "Epoch: 0624 cost= 99.949964489\n",
      "Epoch: 0625 cost= 99.938728513\n",
      "Epoch: 0626 cost= 100.010473716\n",
      "Epoch: 0627 cost= 99.925672524\n",
      "Epoch: 0628 cost= 100.035610698\n",
      "Epoch: 0629 cost= 99.890848527\n",
      "Epoch: 0630 cost= 99.915246138\n",
      "Epoch: 0631 cost= 99.972870900\n",
      "Epoch: 0632 cost= 99.937193562\n",
      "Epoch: 0633 cost= 99.967828869\n",
      "Epoch: 0634 cost= 99.874417738\n",
      "Epoch: 0635 cost= 99.872735415\n",
      "Epoch: 0636 cost= 99.876849490\n",
      "Epoch: 0637 cost= 99.902401720\n",
      "Epoch: 0638 cost= 99.949940602\n",
      "Epoch: 0639 cost= 99.813779588\n",
      "Epoch: 0640 cost= 99.881361459\n",
      "Epoch: 0641 cost= 100.048854148\n",
      "Epoch: 0642 cost= 99.909725869\n",
      "Epoch: 0643 cost= 99.957494854\n",
      "Epoch: 0644 cost= 99.876361791\n",
      "Epoch: 0645 cost= 99.827348661\n",
      "Epoch: 0646 cost= 99.971170529\n",
      "Epoch: 0647 cost= 99.882602539\n",
      "Epoch: 0648 cost= 99.952513469\n",
      "Epoch: 0649 cost= 99.811614976\n",
      "Epoch: 0650 cost= 99.691239097\n",
      "Epoch: 0651 cost= 99.989873158\n",
      "Epoch: 0652 cost= 100.000210557\n",
      "Epoch: 0653 cost= 99.903185189\n",
      "Epoch: 0654 cost= 99.918457114\n",
      "Epoch: 0655 cost= 99.826277910\n",
      "Epoch: 0656 cost= 99.927698017\n",
      "Epoch: 0657 cost= 99.995796953\n",
      "Epoch: 0658 cost= 99.798672444\n",
      "Epoch: 0659 cost= 99.965291082\n",
      "Epoch: 0660 cost= 99.937380690\n",
      "Epoch: 0661 cost= 99.773760099\n",
      "Epoch: 0662 cost= 99.942665017\n",
      "Epoch: 0663 cost= 99.892984619\n",
      "Epoch: 0664 cost= 99.786641124\n",
      "Epoch: 0665 cost= 99.895256042\n",
      "Epoch: 0666 cost= 99.828682612\n",
      "Epoch: 0667 cost= 99.896395610\n",
      "Epoch: 0668 cost= 99.788294511\n",
      "Epoch: 0669 cost= 99.800317660\n",
      "Epoch: 0670 cost= 99.886535658\n",
      "Epoch: 0671 cost= 99.856706293\n",
      "Epoch: 0672 cost= 99.826127625\n",
      "Epoch: 0673 cost= 99.936067449\n",
      "Epoch: 0674 cost= 99.960259774\n",
      "Epoch: 0675 cost= 99.882925817\n",
      "Epoch: 0676 cost= 99.878530676\n",
      "Epoch: 0677 cost= 99.891364094\n",
      "Epoch: 0678 cost= 99.782013023\n",
      "Epoch: 0679 cost= 99.879598708\n",
      "Epoch: 0680 cost= 99.810707370\n",
      "Epoch: 0681 cost= 99.750672011\n",
      "Epoch: 0682 cost= 99.800647278\n",
      "Epoch: 0683 cost= 99.788178864\n",
      "Epoch: 0684 cost= 99.886340956\n",
      "Epoch: 0685 cost= 99.988586703\n",
      "Epoch: 0686 cost= 99.940771040\n",
      "Epoch: 0687 cost= 99.833919289\n",
      "Epoch: 0688 cost= 99.829478205\n",
      "Epoch: 0689 cost= 99.839848730\n",
      "Epoch: 0690 cost= 99.647319738\n",
      "Epoch: 0691 cost= 99.955713224\n",
      "Epoch: 0692 cost= 99.733358265\n",
      "Epoch: 0693 cost= 99.889315588\n",
      "Epoch: 0694 cost= 99.823303500\n",
      "Epoch: 0695 cost= 99.764905437\n",
      "Epoch: 0696 cost= 99.833127206\n",
      "Epoch: 0697 cost= 99.848203042\n",
      "Epoch: 0698 cost= 99.800329923\n",
      "Epoch: 0699 cost= 99.825884871\n",
      "Epoch: 0700 cost= 99.835211071\n",
      "Epoch: 0701 cost= 99.824600802\n",
      "Epoch: 0702 cost= 99.884012104\n",
      "Epoch: 0703 cost= 99.784864710\n",
      "Epoch: 0704 cost= 99.798871932\n",
      "Epoch: 0705 cost= 99.798696331\n",
      "Epoch: 0706 cost= 99.855238828\n",
      "Epoch: 0707 cost= 99.849880024\n",
      "Epoch: 0708 cost= 99.849565402\n",
      "Epoch: 0709 cost= nan\n",
      "Epoch: 0710 cost= nan\n",
      "Epoch: 0711 cost= nan\n",
      "Epoch: 0712 cost= nan\n",
      "Epoch: 0713 cost= nan\n",
      "Epoch: 0714 cost= nan\n",
      "Epoch: 0715 cost= nan\n",
      "Epoch: 0716 cost= nan\n",
      "Epoch: 0717 cost= nan\n",
      "Epoch: 0718 cost= nan\n",
      "Epoch: 0719 cost= nan\n",
      "Epoch: 0720 cost= nan\n",
      "Epoch: 0721 cost= nan\n",
      "Epoch: 0722 cost= nan\n",
      "Epoch: 0723 cost= nan\n",
      "Epoch: 0724 cost= nan\n",
      "Epoch: 0725 cost= nan\n",
      "Epoch: 0726 cost= nan\n",
      "Epoch: 0727 cost= nan\n",
      "Epoch: 0728 cost= nan\n",
      "Epoch: 0729 cost= nan\n",
      "Epoch: 0730 cost= nan\n",
      "Epoch: 0731 cost= nan\n",
      "Epoch: 0732 cost= nan\n",
      "Epoch: 0733 cost= nan\n",
      "Epoch: 0734 cost= nan\n",
      "Epoch: 0735 cost= nan\n",
      "Epoch: 0736 cost= nan\n",
      "Epoch: 0737 cost= nan\n",
      "Epoch: 0738 cost= nan\n",
      "Epoch: 0739 cost= nan\n",
      "Epoch: 0740 cost= nan\n",
      "Epoch: 0741 cost= nan\n",
      "Epoch: 0742 cost= nan\n",
      "Epoch: 0743 cost= nan\n",
      "Epoch: 0744 cost= nan\n",
      "Epoch: 0745 cost= nan\n",
      "Epoch: 0746 cost= nan\n",
      "Epoch: 0747 cost= nan\n",
      "Epoch: 0748 cost= nan\n",
      "Epoch: 0749 cost= nan\n",
      "Epoch: 0750 cost= nan\n",
      "Epoch: 0751 cost= nan\n",
      "Epoch: 0752 cost= nan\n",
      "Epoch: 0753 cost= nan\n",
      "Epoch: 0754 cost= nan\n",
      "Epoch: 0755 cost= nan\n",
      "Epoch: 0756 cost= nan\n",
      "Epoch: 0757 cost= nan\n",
      "Epoch: 0758 cost= nan\n",
      "Epoch: 0759 cost= nan\n",
      "Epoch: 0760 cost= nan\n",
      "Epoch: 0761 cost= nan\n",
      "Epoch: 0762 cost= nan\n",
      "Epoch: 0763 cost= nan\n",
      "Epoch: 0764 cost= nan\n",
      "Epoch: 0765 cost= nan\n",
      "Epoch: 0766 cost= nan\n",
      "Epoch: 0767 cost= nan\n",
      "Epoch: 0768 cost= nan\n",
      "Epoch: 0769 cost= nan\n",
      "Epoch: 0770 cost= nan\n",
      "Epoch: 0771 cost= nan\n",
      "Epoch: 0772 cost= nan\n",
      "Epoch: 0773 cost= nan\n",
      "Epoch: 0774 cost= nan\n",
      "Epoch: 0775 cost= nan\n",
      "Epoch: 0776 cost= nan\n",
      "Epoch: 0777 cost= nan\n",
      "Epoch: 0778 cost= nan\n",
      "Epoch: 0779 cost= nan\n",
      "Epoch: 0780 cost= nan\n",
      "Epoch: 0781 cost= nan\n",
      "Epoch: 0782 cost= nan\n",
      "Epoch: 0783 cost= nan\n",
      "Epoch: 0784 cost= nan\n",
      "Epoch: 0785 cost= nan\n",
      "Epoch: 0786 cost= nan\n",
      "Epoch: 0787 cost= nan\n",
      "Epoch: 0788 cost= nan\n",
      "Epoch: 0789 cost= nan\n",
      "Epoch: 0790 cost= nan\n",
      "Epoch: 0791 cost= nan\n",
      "Epoch: 0792 cost= nan\n",
      "Epoch: 0793 cost= nan\n",
      "Epoch: 0794 cost= nan\n",
      "Epoch: 0795 cost= nan\n",
      "Epoch: 0796 cost= nan\n",
      "Epoch: 0797 cost= nan\n",
      "Epoch: 0798 cost= nan\n",
      "Epoch: 0799 cost= nan\n",
      "Epoch: 0800 cost= nan\n",
      "Epoch: 0801 cost= nan\n",
      "Epoch: 0802 cost= nan\n",
      "Epoch: 0803 cost= nan\n",
      "Epoch: 0804 cost= nan\n",
      "Epoch: 0805 cost= nan\n",
      "Epoch: 0806 cost= nan\n",
      "Epoch: 0807 cost= nan\n",
      "Epoch: 0808 cost= nan\n",
      "Epoch: 0809 cost= nan\n",
      "Epoch: 0810 cost= nan\n",
      "Epoch: 0811 cost= nan\n",
      "Epoch: 0812 cost= nan\n",
      "Epoch: 0813 cost= nan\n",
      "Epoch: 0814 cost= nan\n",
      "Epoch: 0815 cost= nan\n",
      "Epoch: 0816 cost= nan\n",
      "Epoch: 0817 cost= nan\n",
      "Epoch: 0818 cost= nan\n",
      "Epoch: 0819 cost= nan\n",
      "Epoch: 0820 cost= nan\n",
      "Epoch: 0821 cost= nan\n",
      "Epoch: 0822 cost= nan\n",
      "Epoch: 0823 cost= nan\n",
      "Epoch: 0824 cost= nan\n",
      "Epoch: 0825 cost= nan\n",
      "Epoch: 0826 cost= nan\n",
      "Epoch: 0827 cost= nan\n",
      "Epoch: 0828 cost= nan\n",
      "Epoch: 0829 cost= nan\n",
      "Epoch: 0830 cost= nan\n",
      "Epoch: 0831 cost= nan\n",
      "Epoch: 0832 cost= nan\n",
      "Epoch: 0833 cost= nan\n",
      "Epoch: 0834 cost= nan\n",
      "Epoch: 0835 cost= nan\n",
      "Epoch: 0836 cost= nan\n",
      "Epoch: 0837 cost= nan\n",
      "Epoch: 0838 cost= nan\n",
      "Epoch: 0839 cost= nan\n",
      "Epoch: 0840 cost= nan\n",
      "Epoch: 0841 cost= nan\n",
      "Epoch: 0842 cost= nan\n",
      "Epoch: 0843 cost= nan\n",
      "Epoch: 0844 cost= nan\n",
      "Epoch: 0845 cost= nan\n",
      "Epoch: 0846 cost= nan\n",
      "Epoch: 0847 cost= nan\n",
      "Epoch: 0848 cost= nan\n",
      "Epoch: 0849 cost= nan\n",
      "Epoch: 0850 cost= nan\n",
      "Epoch: 0851 cost= nan\n",
      "Epoch: 0852 cost= nan\n",
      "Epoch: 0853 cost= nan\n",
      "Epoch: 0854 cost= nan\n",
      "Epoch: 0855 cost= nan\n",
      "Epoch: 0856 cost= nan\n",
      "Epoch: 0857 cost= nan\n",
      "Epoch: 0858 cost= nan\n",
      "Epoch: 0859 cost= nan\n",
      "Epoch: 0860 cost= nan\n",
      "Epoch: 0861 cost= nan\n",
      "Epoch: 0862 cost= nan\n",
      "Epoch: 0863 cost= nan\n",
      "Epoch: 0864 cost= nan\n",
      "Epoch: 0865 cost= nan\n",
      "Epoch: 0866 cost= nan\n",
      "Epoch: 0867 cost= nan\n",
      "Epoch: 0868 cost= nan\n",
      "Epoch: 0869 cost= nan\n",
      "Epoch: 0870 cost= nan\n",
      "Epoch: 0871 cost= nan\n",
      "Epoch: 0872 cost= nan\n",
      "Epoch: 0873 cost= nan\n",
      "Epoch: 0874 cost= nan\n",
      "Epoch: 0875 cost= nan\n",
      "Epoch: 0876 cost= nan\n",
      "Epoch: 0877 cost= nan\n",
      "Epoch: 0878 cost= nan\n",
      "Epoch: 0879 cost= nan\n",
      "Epoch: 0880 cost= nan\n",
      "Epoch: 0881 cost= nan\n",
      "Epoch: 0882 cost= nan\n",
      "Epoch: 0883 cost= nan\n",
      "Epoch: 0884 cost= nan\n",
      "Epoch: 0885 cost= nan\n",
      "Epoch: 0886 cost= nan\n",
      "Epoch: 0887 cost= nan\n",
      "Epoch: 0888 cost= nan\n",
      "Epoch: 0889 cost= nan\n",
      "Epoch: 0890 cost= nan\n",
      "Epoch: 0891 cost= nan\n",
      "Epoch: 0892 cost= nan\n",
      "Epoch: 0893 cost= nan\n",
      "Epoch: 0894 cost= nan\n",
      "Epoch: 0895 cost= nan\n",
      "Epoch: 0896 cost= nan\n",
      "Epoch: 0897 cost= nan\n",
      "Epoch: 0898 cost= nan\n",
      "Epoch: 0899 cost= nan\n",
      "Epoch: 0900 cost= nan\n",
      "Epoch: 0901 cost= nan\n",
      "Epoch: 0902 cost= nan\n",
      "Epoch: 0903 cost= nan\n",
      "Epoch: 0904 cost= nan\n",
      "Epoch: 0905 cost= nan\n",
      "Epoch: 0906 cost= nan\n",
      "Epoch: 0907 cost= nan\n",
      "Epoch: 0908 cost= nan\n",
      "Epoch: 0909 cost= nan\n",
      "Epoch: 0910 cost= nan\n",
      "Epoch: 0911 cost= nan\n",
      "Epoch: 0912 cost= nan\n",
      "Epoch: 0913 cost= nan\n",
      "Epoch: 0914 cost= nan\n",
      "Epoch: 0915 cost= nan\n",
      "Epoch: 0916 cost= nan\n",
      "Epoch: 0917 cost= nan\n",
      "Epoch: 0918 cost= nan\n",
      "Epoch: 0919 cost= nan\n",
      "Epoch: 0920 cost= nan\n",
      "Epoch: 0921 cost= nan\n",
      "Epoch: 0922 cost= nan\n",
      "Epoch: 0923 cost= nan\n",
      "Epoch: 0924 cost= nan\n",
      "Epoch: 0925 cost= nan\n",
      "Epoch: 0926 cost= nan\n",
      "Epoch: 0927 cost= nan\n",
      "Epoch: 0928 cost= nan\n",
      "Epoch: 0929 cost= nan\n",
      "Epoch: 0930 cost= nan\n",
      "Epoch: 0931 cost= nan\n",
      "Epoch: 0932 cost= nan\n",
      "Epoch: 0933 cost= nan\n",
      "Epoch: 0934 cost= nan\n",
      "Epoch: 0935 cost= nan\n",
      "Epoch: 0936 cost= nan\n",
      "Epoch: 0937 cost= nan\n",
      "Epoch: 0938 cost= nan\n",
      "Epoch: 0939 cost= nan\n",
      "Epoch: 0940 cost= nan\n",
      "Epoch: 0941 cost= nan\n",
      "Epoch: 0942 cost= nan\n",
      "Epoch: 0943 cost= nan\n",
      "Epoch: 0944 cost= nan\n",
      "Epoch: 0945 cost= nan\n",
      "Epoch: 0946 cost= nan\n",
      "Epoch: 0947 cost= nan\n",
      "Epoch: 0948 cost= nan\n",
      "Epoch: 0949 cost= nan\n",
      "Epoch: 0950 cost= nan\n",
      "Epoch: 0951 cost= nan\n",
      "Epoch: 0952 cost= nan\n",
      "Epoch: 0953 cost= nan\n",
      "Epoch: 0954 cost= nan\n",
      "Epoch: 0955 cost= nan\n",
      "Epoch: 0956 cost= nan\n",
      "Epoch: 0957 cost= nan\n",
      "Epoch: 0958 cost= nan\n",
      "Epoch: 0959 cost= nan\n",
      "Epoch: 0960 cost= nan\n",
      "Epoch: 0961 cost= nan\n",
      "Epoch: 0962 cost= nan\n",
      "Epoch: 0963 cost= nan\n",
      "Epoch: 0964 cost= nan\n",
      "Epoch: 0965 cost= nan\n",
      "Epoch: 0966 cost= nan\n",
      "Epoch: 0967 cost= nan\n",
      "Epoch: 0968 cost= nan\n",
      "Epoch: 0969 cost= nan\n",
      "Epoch: 0970 cost= nan\n",
      "Epoch: 0971 cost= nan\n",
      "Epoch: 0972 cost= nan\n",
      "Epoch: 0973 cost= nan\n",
      "Epoch: 0974 cost= nan\n",
      "Epoch: 0975 cost= nan\n",
      "Epoch: 0976 cost= nan\n",
      "Epoch: 0977 cost= nan\n",
      "Epoch: 0978 cost= nan\n",
      "Epoch: 0979 cost= nan\n",
      "Epoch: 0980 cost= nan\n",
      "Epoch: 0981 cost= nan\n",
      "Epoch: 0982 cost= nan\n",
      "Epoch: 0983 cost= nan\n",
      "Epoch: 0984 cost= nan\n",
      "Epoch: 0985 cost= nan\n",
      "Epoch: 0986 cost= nan\n",
      "Epoch: 0987 cost= nan\n",
      "Epoch: 0988 cost= nan\n",
      "Epoch: 0989 cost= nan\n",
      "Epoch: 0990 cost= nan\n",
      "Epoch: 0991 cost= nan\n",
      "Epoch: 0992 cost= nan\n",
      "Epoch: 0993 cost= nan\n",
      "Epoch: 0994 cost= nan\n",
      "Epoch: 0995 cost= nan\n",
      "Epoch: 0996 cost= nan\n",
      "Epoch: 0997 cost= nan\n",
      "Epoch: 0998 cost= nan\n",
      "Epoch: 0999 cost= nan\n",
      "Epoch: 1000 cost= nan\n"
     ]
    }
   ],
   "source": [
    "dims = [3, 5, 10, 20, 200]\n",
    "\n",
    "models = []\n",
    "train_costs = []\n",
    "test_costs = []\n",
    "\n",
    "for d in dims:\n",
    "    model, train_cost, test_cost = train_model(mnist, 1000, d, 200, 100, 0.001, True) \n",
    "    models.append(model)\n",
    "    train_costs.append(train_cost)\n",
    "    test_costs.append(test_cost)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "6.90675477865 [1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 7, 8, 9, 11, 14, 17, 20, 24, 28, 34, 41, 49, 58, 70, 83, 99, 119, 142, 169, 202, 242, 289, 345, 412, 491, 587, 701, 836, 999]\n",
      "6.90675477865 [1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 7, 8, 9, 11, 14, 17, 20, 24, 28, 34, 41, 49, 58, 70, 83, 99, 119, 142, 169, 202, 242, 289, 345, 412, 491, 587, 701, 836, 999]\n",
      "6.90675477865 [1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 7, 8, 9, 11, 14, 17, 20, 24, 28, 34, 41, 49, 58, 70, 83, 99, 119, 142, 169, 202, 242, 289, 345, 412, 491, 587, 701, 836, 999]\n",
      "6.90675477865 [1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 7, 8, 9, 11, 14, 17, 20, 24, 28, 34, 41, 49, 58, 70, 83, 99, 119, 142, 169, 202, 242, 289, 345, 412, 491, 587, 701, 836, 999]\n",
      "6.90675477865 [1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 5, 7, 8, 9, 11, 14, 17, 20, 24, 28, 34, 41, 49, 58, 70, 83, 99, 119, 142, 169, 202, 242, 289, 345, 412, 491, 587, 701, 836, 999]\n"
     ]
    },
    {
     "data": {
      "image/png": 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J+xDOkV0TYD3wd5zrfjYzsksqVarkdghhyfo1sKDH6eVHVffgDPC9KBTt5bOf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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0b5c722e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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xwF7gLiAaeBEYJyKDMiuISGVgEbAFaAsMA0aLyF+LMG6ThwED8pzV0+RiX/I+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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0b1a23668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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RbhHpDvwdeNlTNhh38hyhqqnAVhHpANyDe6DwgJGWnsa9sffy/NfPZyl/5cpX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\nhxCQrKdnCuTZZ59l37593Hn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vjNxmnpeT/qmqvwLPAm+ISBzuV8+Px3219g0Hwi01rF2L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\nA1ED8AAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0b5d29048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wS3pltH7HetIOpnFD1xvYf2x/mZY9lHmIe5Pv5bqzruPStpeWU4TGmOJY0iuj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\nvfQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0b1784400>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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f3AylUo0YMcLtEMKS9Wtg5Ul6XwGtVfX5YupXA9eeeEjB4x3lXQX4xnwyziGw\nr1996lyxbts6/vPjfzh49CB397+b+jXquxWKMWGtPEnvCaCk/zq6AjXKG4CITBeRvBKWXBFpfxzb\nPR1YDExV1Q/Lu35xhg4disfjKbT06dOHxYsXF2qXnJwc8NE+48ePL/LCltTUVC72XEztnNo0q9OM\nm//gPB1jypQpzJgxo1DbtLQ0PB4PGzYUvjVt1qxZ3HFH4esxmZmZeDweVq1aVag8KSkp4Pme4cOH\nn/D38Hg8pKcXPvth38O+RzC/R1JSEh6Phw4dOpCQkIDH42HSpElFtlUsVS3zgnP4+hkwGoj3q7sF\nWF6e7XnXawS0L2Wp5rfOdcBvJWwzAdiFc/7Rv24B8KZf2dlALlCvhG12BzQlJUWDLW1/mjIVZSo6\nL3Ve0Lcf6j7++GO3QwhLkdSvKSkpCijQXUvJOeW6equq9wGTcS4G7BSRz0TkHhFpAXQCVpRne95t\n7lXVH0tZckrfkkNEOgMfAfO98fpbA/QXkWifsiHAD6p6oLzxB8NbG95CEDo26si1XUPqDEGlePTR\nR90OISxZvwZW7ikrqvo/VT0HJ8m9BPQBvgeGAhX6zjkRaSEiXYFTgWgR6epdannrTweW4VyY+H8i\n0sS7xPtsZiFwDJgnIgkiMhyYiHP47orYarEoyl397iI6Krr0FcLMokWL3A4hLFm/Bnbc8/RUdaOq\nzlLVC4E2wDygf9AiC+x+nMQ6Bajt/Xsqzvw8cK4sN8IZie7wWT71ifsgzsiuFfA58BjOeT/X3owc\nExWDIAw9bahbIbgqLi7O7RDCkvVrYEG5DU1V9+BM8O0ZjO2VsJ9RQLEzLtWZxzetDNv5FmfOYUh4\n76f36NW8F/Fx8aU3NsackKDehqaqnwVze5EgOzeb/236Hxe0u8DtUIyJCFXq3ttwtHrrag4ePRix\nh7ZAkSkRJjisXwOzpOeyJRuXcFKtk6rkC32CpWXLlm6HEJasXwOzpOey9356j/PbnV+l3lMbbBMm\nTHA7hLBk/RpY5P6mhYBtB7fxze5vGNoucg9tjals9hBRlyzbvIznPn8OQRjcdrDb4RgTMWyk55J/\npPyD5J+TOavFWTSs2dDtcFzlf7+nCQ7r18As6bkgKyeL//74X47kHInoq7b57rzzTrdDCEvWr4HZ\n4a0Lkn9OLniPrc3Pg9mzZ7sdQliyfg3Mkp4L3lj/Bg1rNiQ2OpYzTz7T7XBcZ1MrKob1a2B2eFvJ\nsnOzeecShB3rAAAbkklEQVSHd4iSKM5vdz4i4nZIxkQUG+lVsmW/LGN/1n4AO59njAtspFfJ3lz/\nJvFx8UQRxbltznU7nJDg/xRfExzWr4FZ0qtkQ08bSou6Leh7al97D4ZXZmam2yGEJevXwOzw9jgd\nzTnK3iN7i60/ufbJAW8tO6/teYx4YwT39Q/0UOfING1aqU8DM8fB+jUwS3rHadBLg/hk6yfF1h/8\n+0HqxNYpUr5yy0oyszO54DSbqmKMGyzpHQdVpVFcI+7tfy+9m/cO2KZmTM2A5Us2LuGUOqdwxkln\nVGSIxphiWNI7DiLC2396+7jWfe+n97ig3QU2VcVHeno68fH21Ohgs34NzC5kVKJN+zbxw94fbKqK\nn9GjR7sdQliyfg3MRnrH6ZWvX+HjLR+Xa51N+zcRExXDoDaDKiiqqmnq1KluhxCWrF8Ds6R3HFSV\n25beRs2YmjSp1aRc697a+1bqxtatoMiqpu7dI/ep0RXJ+jWwKpX0RGQycCFwJnBUVRv61TcEXgW6\n4LwKcjfwNjBZVQ/5tOsCzAZ6etvMVtXHyhrHL/t/YU/mHt4d8S4Xtr/wBL+VMaYyVamkB8QA/wLW\nAIFOWOQBi4G7gT1AO+BZoAHOu3ARkTo4LwNPBsYCZwDzRWSfqr5QliDWblsLwB9O+UOh8rS0NNLT\n08v7nUwYiI+Ptxv8q4gqlfS877VFRK4rpn4/8LxP0VYReRa43adsJE7yHKOqOcB6EekG3AaUKemt\n276Otg3a0rhW44KytLQ0OnXqZLPgI1RcXBzr168PqcQ3d+5cxowZ43YYIadKJb3yEpFmwOXAcp/i\n3sBKb8LLtxS4U0TqqeqBkra5ed9m1mxbQ6/mvQqVp6enk5mZySuvvEKnTp2C8wVMlbB+/XpGjhxJ\nenp6SCW91NRUS3oBhGXSE5GFwCVATeAd4K8+1ScDm/xW+dWnrsSkd82b15DTJIdrzrgmYH2nTp3s\nBLIJCc8884zbIYQk1+fpich0EckrYckVkfbl3OytQDfAA7QFngpWvEcXHCX31Vxev+d1PB4PHo+H\nPn36sGzZsmDtwoSBWbNmFXnZdmZmJh6Ph1WrVhUqT0pKYtSoUUW2MXz4cBYvXlyoLDk5GY/HU6Tt\n+PHjmTt3bqGy1NRUPB5PkfPMU6ZMKfIElrS0NDweT5H3aoTi90hKSsLj8dChQwcSEhLweDxMmjSp\nyLaKI6pa5sYVQUQa4VxpLckm38NR7zm9p/yv3haz/T8CHwNNVfVXEVkA1FHVy33anA18CDQs7vBW\nRLoDKTJWqHZKNQ7ddYjYarEF9ampqSQmJpKSkmIjvQhjP3v35f8MgERVTS2preuHt6q6Fyj+cSUn\nLhpQID9DrQEeFJFoVc31lg0BfijtfB5Anep16Ni0Y6GEZ4ypOlw/vC0PEWkhIl2BU4FoEenqXWp5\n6y8QketFpLOInCoiFwLPAatUNc27mYXAMWCeiCSIyHBgIvBEWWLI1Vx6ndKr9IbGuCzQ4aMJgZFe\nOd0PXOvzOX8YOxBYCRzBuWjxJM7IbivwBlBwAkNVD4rIEOAZ4HMgHZiqqoVPJBQj41hGsU9WMSaU\n3HzzzW6HEJKqVNJT1VFA0TOlv9cvB/5Yhu18Cww43jhspFc2K1as4M477yQhIYF+/fqRk5PDkiVL\nmDRpEv3793clphdffJHRo0fzyy+/hNT0koowZMgQt0MISVUq6YWCejXq0aZBG7fDqBIGDBiAqvLA\nAw/QvHlzAHJycpg9e3aJSW/NmjUkJyczadIk6tYN7n3KImKP9YpwVeqcXig4/aTT7ZfGa/ny5Qwe\nPJjatWvTr18/srOzC9UfPnyYzMzMgoSXnp7OokWLuPHGG0vc7urVq7n//vvZv39/0GO+9tprOXLk\nSNiP8kzxLOmV0+knne52CCFh5syZvPLKKyxYsIBzzz2X1atX8/XXXxdqs2rVKtq0aUNycjLvvPMO\nf/nLX5g5cybnnHNOidsuzzSq8t72JyJUr169XOtUVf5z44zDkl45WdKD999/n8cff5xnn32WZs2a\nccEFF9C5c2fatWtXqN2KFSu45pprGDJkCB6Ph4cffpgrr7yyxG1PmzaNO++8E4BWrVoRFRVFdHQ0\naWlpTJ06laioKNavX8/VV19Nw4YN6devH+BMrh03bhwdO3YkLi6O+Ph4rrrqKrZs2VJo+y+++CJR\nUVGkpaUVlOVv9+eff+b666+nQYMG1K9fn9GjR5OVlRWMLnNFUlKS2yGEJDunV06nN7akd+uttzJh\nwoSCEdPIkSMZO3ZskXYrVqxg3LhxBZ+bNWvG5s2b2b9/P/XrB3795bBhw/jxxx9ZtGgRM2fOpFEj\nZ95648aNC04rXHnllbRv357p06cXjAo/++wz1q5dy4gRI2jevDm//PILzz77LAMHDuT777+nRo0a\nQOBzevmfr7rqKtq0acMjjzxCamoqL7zwAk2aNGH69Okn0l2uee2119wOISRZ0iunujUi+wGgb7/9\nNhs3buTPf/5zQVmtWrWKtMvIyGDXrl20aNGioOyJJ57A4/EUm/AATj/9dLp3786iRYu45JJLAp57\n69atGy+//HKhsosuuohhw4YVKrv44ovp3bs3b7zxBtdcE/heaV+JiYnMmTOn4HN6ejpz586tsknP\nBGZJzyWZ2ZlsSN9QesMT0DG+I3ExcUHd5oIFC+jVqxdNmzYtts1nn33Gq6++So0aNZgzZw55eXls\n2bKFY8eOsXDhwhPav4gEHFXGxv5+h0xOTg4HDx6kTZs21K9fn9TU1FKTXqDt9uvXj8WLF3P48GFq\n1659QnGb0GFJzyUb0jeQOCexQveRckMK3ZsG717QnJwcPvjgA26//fYS2/Xs2ZOePXsGbb/+Wrdu\nXaQsKyuLhx9+mBdffJHt27cXHPaKCAcOlHp3IUCRUWWDBg0A2LdvnyW9MGJJzyUd4zuSckNKhe8j\nmNauXUtGRgZDh7r7NreaNYu+U/jmm29mwYIFTJo0id69e1OvXj1EhOHDh5OXl1em7UZHRwcsd/uh\nHMdr1KhRzJ8/3+0wQo4lPZfExcQFdRRWGd59913atm1Ljx49KnQ/xzMP8o033uD666/n0UcfLSg7\nevRohcz1qyrsjozAbMqKKZOcnBxeffVV7r333oD1qamp3HXXXUHZV/6FkfIkrOjo6CIjuqeffprc\n3Nxi1gh/I0aMcDuEkGQjPVMmTz75JDt27OCmm27i7rvvpkePHgwaNIi+ffvSsGFDRowYwQsvlOkV\nI6VKTExEVZk8eTJ/+tOfiImJ4eKLLy5xnYsuuoiXX36ZunXrkpCQwJo1a/jwww+Jj48PSkwmfFjS\nM6Vat24d69ev54cffmDbtm0sX76cZcuWcd9993HkyBH69evH66+/TpcuXYKyvx49evDggw/yj3/8\ng6VLl5KXl8fmzZtLXOfpp5+mWrVqLFy4kKysLPr27csHH3zAeeedZ7cNmsJU1ZYyLEB3QFNSUjSQ\nlJQULanehK9Q/dl//PHHbodQafJ/BkB3LeV32c7pGROmfC/qmN9Z0jMmTC1atMjtEEKSJT1jwlRc\nXHDvxgkXlvSMMRHFkp4xJqJY0jMmTPm/pNs4LOkZE6bskfiBVamkJyKTReQTEckQkd9KadtQRLaJ\nSK6I1PWr6yIiK0XkiIhsERH7L9GEnQkTJrgdQkiqUkkPiAH+hfMC79LMBb70LxSROsBSYDPOhOM7\ngKki8pcgxmmMCVFV6jY0VZ0GICLXldRORG4C6gEPABf4VY/ESZ5jVDUHWC8i3YDbgODcPGqMCVlV\nbaRXKhFJAO4B/gwEepBab2ClN+HlWwp0EJF6lRCiMZViw4aKfTJ3VRVWSU9EqgMLgdtVdXsxzU4G\nfvUr+9WnzpiwkP9WOVOY60lPRKaLSF4JS66ItC/j5h4BvlfV/Hffid+fphKtWLGCXr16MWrUKObN\nm8ecOXO47LLLWLlypduhRYTZs2e7HUJIcj3pAY8DHUtYOgGbyritgcCVIpItItnABzgJb4+ITPG2\n2QU08VuviU9diYYOHYrH4ym09OnTh2XLlpUxxMgxYMAAVJUHHniA0aNHc8MNNzB48OBSfxnXrFnD\ntGnTOHjwYIXFVtH7mDVrVpF5cpmZmXg8HlatWlWoPCkpiVGjRhXZxvDhw4u8sDs5ORmPx1Ok7fjx\n45k7d26hsvT0dDweD+np6YXKp0yZwowZMwqVpaWl4fF4ihwSh8L3SE1NLfQ9kpKS8Hg8dOjQgYSE\nBDweD5MmTSqyrWKV9hiWUFyA64DfApS3BhJ8luuBXOAPQLy3zY1AOhDts97DOCNEe7RUOSxbtkzP\nPfdcrVWrlvbt21ePHTtWqP7QoUPauXPngs979uzRfv366Ycffljidh9//HGNiorSLVu2VEjcwd5H\nJP7sQ015Hi1Vpa7eikgLoCFwKhAtIl29VRtVNUNVN/u1b4wz0tugqvn/pS8E7gPmicgM4AxgInBL\nZXyHcDFz5ky++eYbFixYwLhx4/jPf/7D119/TWLi7294W7VqFW3atCE5OZmsrCzmzZvHzJkz6dat\nW4nbVq34F/FUxj5MiCotK4bSAszHGbn5L/2LaT/AW1/Xr/x0YAWQCaThXPgobd820vNasmSJNm/e\nXI8ePaqqqv/4xz/0jDPO0P379xdq9/e//10XLVpU8Pm7777Ttm3blrjtqVOnqohoVFSUikjB3/NH\nZNu3b9dRo0ZpkyZNNDY2Vjt37qzz5s0rsp1Dhw7pLbfcoq1atdLY2Fg96aSTdPDgwZqamlrqPsor\nVH/2jzzyiNshVJqwHemp6iig6EmD4tuvAIq8109Vv8VJiOY43HrrrUyYMIHq1asDMHLkyIAv4F6x\nYgXjxo0r+NysWTM2b97M/v37qV+/fsBtDxs2jB9//JFFixYxc+ZMGjVqBEDjxo3ZvXs3vXr1Ijo6\nmokTJxIfH8+SJUsYM2YMhw4dYuLEiQXbGTt2LG+++SYTJkygU6dO7N27l1WrVrFhw4YS9xFOMjMz\n3Q4hNJWWFW2xkZ6vxYsXa3R0tO7YsaPEdocPH9bWrVsXKrvnnnv00ksvLXUfxZ1vGzNmjJ5yyim6\nb9++QuUjRozQBg0aaFZWVkFZ/fr1dcKECeXex/GIlJ99KAvbkV642XloJzsP7yy2vka1GiQ0Tihx\nG9/v+Z6snKwi5U1rN6VpnaYnHKO/BQsW0KtXL5o2LX7bn332Ga+++io1atRgzpw55OXlsWXLFo4d\nO8bChQuPe99vvvkmw4cPJzc3l7179xaUDxkyhNdee43U1FT69OkDQP369Vm3bh07d+4sMVYTeSzp\nuej5lOeZtmJasfUJjRP4btx3JW7jytev5Ps93xcpnzJgClPPnnqiIRaSk5PDBx98wO23315iu549\ne9KzZ8+g7nvPnj3s37+fOXPm8PzzzxepFxF2795d8PnRRx/l+uuvp0WLFiQmJjJ06FCuvfZaWrdu\nHdS4TNVjSc9FYxPH4ulQdK5SvhrVapS6jdevfL3YkV6wrV27loyMDIYOHRr0bZcm/0XeI0eO5Lrr\nAt967fsKyiuvvJL+/fvz1ltvkZyczOOPP86MGTN46623OO+88yolZrelp6fbe38DsKTnoqZ1TvwQ\ntLTD32B69913adu2LT169KjQ/QR6T23jxo2pU6cOubm5nHPOOWXaTpMmTbjxxhu58cYbSU9Pp1u3\nbjz00EMR8y7c0aNH884777gdRsgJhTsyTBWQk5PDq6++yr333huwPjU1lbvuuiso+6pVqxYA+/fv\nLyiLiopi2LBhvPHGG3z3XdFDft+7DvLy8orcaREfH0+zZs04evRosfsIN1OnTnU7hJBkIz1TJk8+\n+SQ7duzgpptu4u6776ZHjx4MGjSIvn370rBhQ0aMGMELLwTnyVyJiYmoKpMnT+ZPf/oTMTExeDwe\nHnnkEZYvX06vXr3461//SkJCAr/99hspKSl89NFHBYnv0KFDNG/enCuuuIKuXbtSu3Zt/ve///H5\n55/z5JNPlriPmjVrBuU7hILu3bu7HUJoKu3yri02ZWXt2rV6/fXX608//aTLli3TKVOmaP/+/bVh\nw4Zas2ZNHTJkiH711VdB3edDDz2kLVq00GrVqhWaWrJnzx6dMGGCnnrqqRobG6vNmjXTwYMH69y5\ncwvWPXbsmP7tb3/Tbt26ab169bROnTrarVs3ff7558u0j/IK5599VVGeKSuiarfjlIWIdAdSUlJS\nAv4PmpqaSmJiIsXVm/BlP3v35f8MgERVTS2prZ3TMyZM+T+txDgs6RkTplJTSxzwRCxLesaEqWee\necbtEEKSJT1jTESxpGeMiSiW9IwxEcWSnjFhKtA7KIwlPWPC1s033+x2CCHJkp4xYWrIkCFuhxCS\n7N7bIFu/fr3bIZhKZj/zqsWSXpDEx8cTFxfHyJEj3Q7FuCAuLs6eXVdFWNILkpYtW7J+/foiL1Y2\npVu2bBkDBw50O4wTEh8fT8uWLd0Oo5DFixdz6aWXuh1GyLGkF0QtW7YMuX/4VcH48eP5v//7P7fD\nCDszZsywpBdAlbqQISKTReQTEckQkd+KaZPnt+SKyFV+bbqIyEoROSIiW0Tkjsr5BiaQcHv1Yqiw\nfg2sqo30YoB/AWuA0SW0uw54H8h/JnjB43FFpA6wFEgGxgJnAPNFZJ+qBucpmMaYkFWlRnqqOk1V\nZwLflNL0gKruUdXd3uWYT91InOQ5RlXXq+q/gKeB2yoo7HJLSkqqlHVLa1tSfXF1gcr9y07k+50I\n69eKESr9WlZVKumVwzMiskdE1onIKL+63sBKVc3xKVsKdBCRepUXYvFC5R+R/XIe37rWrxWzbrC+\nX1U7vC2Le4GPgExgCPCsiNRS1dne+pOBTX7r/OpTd6CY7daAypmTdeDAgeN+Flp51i2tbUn1xdUF\nKvcv8//86aefVsqz36xfK0Yo9KvP72Xp700t7XnyFb0A04G8EpZcoL3fOtcBv5Vx+1OBLT6flwLP\n+bXp5N1PhxK2czXOM/htscWW0F2uLi0nhMJI73Fgfilt/Edm5fEpcK+IxKhqNrALaOLXJv/zrhK2\nsxS4BvgFKPp2bWOMm2oArXB+T0vketJT1b3A3grcRTdgnzfhgXPl90ERiVbVXG/ZEOAHVS3u0DY/\nzoUVGKcx5sSsLksj15NeeYhIC6AhcCoQLSJdvVUbVTVDRC7CGbWtxRmNDQHuAh712cxC4D5gnojM\nwJmyMhG4pXK+hTHGTVXqFZAiMh+4NkDVQFVdKSLn4ZwjbIszR28j8Kz//DsROR14BugJpANPq+rj\nFRq8MSYkVKmkZ4wxJypc5+kZY0xAlvSMMRGlSl3ICGUi8gvOPb6KM4dwkLsRhQcRaQXMw7lAlQP0\nVtUjbsZU1YlIe+A1nH+rAnQA/qSq77gaWCWxc3pBIiKbgM72CxlcIrIcmKyqq0WkPnBQVfNcDits\niEgtYDNwaqT827WRXvAIdrogqEQkATimqqsBVHV/KauY8vMAH0ZKwgP7JQ0mBVZ6H3JwtdvBhInT\ngAwReUdEPheRu9wOKAxdhXOoGzEiPumJSD/vL9V270NHi7wsVETGi8hm70NH14pIzwCb+qOqJgKX\nAJO9cwEjVpD6tRrQF7gROAsYLCIRfa40iP9e858t2Qd4r6LjDiURn/SAWsCXwDic0VohIjIceAKY\ngnNL21fAUhEp9BYYVd3p/XMXzj+i7hUbdsgLRr9uBz5X1R3eZyK+B5xZ0YGHuKD8e/W6BEj2e95k\n+HP7KSuhtOA81cXjV7YWmOnzWYBtwJ0+ZXFAbe/fawOfA4luf59QWU6gX6OBFKAezn/Q7wBD3f4+\nobIcb7/61L0DXOj296jsxUZ6JRCRGCAR+DC/TJ1/LR/gHBbkawKsEpEvcG56flFVUyoz1qqkrP2q\nzgMhJgMf44xuflTViDoUK49y/HtFROri3IZZ6lNJwo1dvS1ZPM5o41e/8l9x5jYBoKqbscOu8ihT\nvwKo6lIi8BfzOJWnXw8CTSsprpBiIz1jTESxpFeydJwnKgd66GhJDxw1JbN+rRjWr2VgSa8E6jx4\nNAUomCYhIuL9XKYHFpqirF8rhvVr2UT8OT3vbTjt+P0duW28Dyf9TVW3Ak8CL4pICs6j5yfhXK19\n0YVwqwzr14ph/RoEbl8+dnsBBvD7C4h8l3k+bcbhvBvjCM7j5nu4HXeoL9av1q+hutgDB4wxEcXO\n6RljIoolPWNMRLGkZ4yJKJb0jDERxZKeMSaiWNIzxkQUS3rGmIhiSc8YE1Es6RljIoolPWNMRLGk\nZ0wZFPcSHlP1WNIzIUNE4kXkORHZIiJZIrJTRJaISJ/S1zambCL+0VImpLyJ82/yz8BmnIdfDgIa\nuRmUCS820jMhQUTq4bzj9m+qulJVt6rq56o6Q1Xf9baZJCJfi8hhEUkTkWe8z5fL38Z1IrJPRC4U\nkQ0ikiEi/xKRmt66zSLym4jM9D5cM3+9zSJyj4gs9G57m4iMKyXe5iLymnd/e0VksYic6lN/tvfF\n74e9bT4WkRbB7zlTXpb0TKg47F0uFZHqxbTJBSYACcC1wEBghl+bOG+bq4DzvG3eAs4HLgBGAmOB\nK/zWux34AucFT48AM4t7sbiIVMN5WdEB4I84LyI/BLwvItVEJNq7z2XA6UBvYA4B3lNrXOD2A/1s\nsSV/AS7Dec9DJrAKeAg4o4T2w4DdPp+vw0mMrXzKnsNJSDV9ypYAz/p83gz812/bScC7Pp8L3jGL\nkzi/92tfHcgAzgUaeOPo53af2lJ0sZGeCRmq+hbQDLgYJzENAFJF5FoAETlXRD7wHn4eBF4GGolI\nDZ/NZKrqLz6ffwV+UdUjfmUn+e1+TYDPnYoJtQtwmogcyl+AvUAs0FZV9wELgGQReUdEJorIyWXq\nBFPhLOmZkKKqx1T1Q1V9SFX74rzbYZr3fNl/cF76fTnQHRjvXc33cDjbf5PFlJ3Iv/3awOc4ya+r\nz9IeWOj9HqNxDms/AYYDP4jIH05gnyZI7OqtCXXfA5cAiYCo6u35FSLypyDup3eAz+uLaZuKc85w\nj6oeLm6DqvoV8BUwQ0RWA1fjvKzHuMhGeiYkiEhDEflQRK4RkTNEpJWIXAncCSwGNgIx3kPF1iLy\nZ5wLEsHyRxG5XUROE5HxOBc6/l8xbV/FOff4toj09cZ6tveqcDPv54dFpLeItBSRIcBpOAncuMxG\neiZUHAbWArcCbYEYYCvwPDBdVY+KyG04SfBhYCXwd+ClIO3/CaAHMBXnquwkVf3Ap77gyquqHhGR\n/jhXjt8A6gDbgQ+BgzhXkDviXGFuBOwEZqnqnCDFak6AvQ3NRDwR2Qw8papPux2LqXh2eGuMiSiW\n9IyxScMRxQ5vjTERxUZ6xpiIYknPGBNRLOkZYyKKJT1jTESxpGeMiSiW9IwxEcWSnjEmoljSM8ZE\nlP8P+9tiwgcTs3MAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x2a0b5753cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "for id in range(0, len(dims)):\n",
    "    d = dims[id]\n",
    "    x = np.logspace(0., np.log10(999.), num=40)\n",
    "\n",
    "    print( np.log(999.), [int(i) for i in x])\n",
    "\n",
    "    plt.figure(figsize=(3, 2.5))\n",
    "    plt.semilogx([i * n_samples + 1 for i in x], [-train_costs[id][int(i)] for i in x], 'g-', label=r'$\\mathcal{L}^B$ train')\n",
    "    plt.semilogx([i * n_samples + 1 for i in x], [-test_costs[id][int(i)] for i in x], 'g--', label=r'$\\mathcal{L}^B$ test')\n",
    "    plt.title(r'MNIST, $N_z = %d$' % d)\n",
    "    plt.ylabel(r'$\\mathcal{L}$')\n",
    "    plt.ylim(-150, -90)\n",
    "    plt.xlim(100000, 50000000)\n",
    "    plt.xlabel('Samples')\n",
    "    #plt.ticklabel_format(style='sci', axis='x', scilimits=(0,0))\n",
    "    plt.grid(True)\n",
    "    plt.legend(loc=0)\n",
    "    plt.savefig('ll%d.pdf' % d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'model_3d_lb' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-8-3085f4c05d46>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      2\u001b[0m \u001b[0mget_ipython\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmagic\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'matplotlib inline'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m----> 4\u001b[0;31m \u001b[0mweights_20d\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mmodel_3d_lb\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mget_weights\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      5\u001b[0m \u001b[0ml2_weights_20d\u001b[0m \u001b[1;33m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mmean\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[1;33m.\u001b[0m\u001b[0mabs\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mweights_20d\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m**\u001b[0m\u001b[1;36m2\u001b[0m\u001b[1;33m,\u001b[0m \u001b[0maxis\u001b[0m\u001b[1;33m=\u001b[0m\u001b[1;36m1\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m      6\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mNameError\u001b[0m: name 'model_3d_lb' is not defined"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "weights_20d = model_3d_lb.get_weights()\n",
    "l2_weights_20d = np.mean(np.abs(weights_20d)**2, axis=1)\n",
    "\n",
    "plt.hist(l2_weights_20d, bins=np.logspace(-5, 0, 8))\n",
    "plt.gca().set_xscale(\"log\")\n",
    "plt.title(r'Contribution of dimensions, $N_z = 20$')\n",
    "plt.xlabel('Squares of weights of dimensions')\n",
    "plt.ylabel('Number of dimensions')\n",
    "plt.ylim(0, 300)\n",
    "plt.xlim(10**-4, 1)\n",
    "plt.savefig('regul_20d.pdf')\n",
    "plt.show()\n",
    "\n",
    "weights_400d = model_400d_lb.get_weights()\n",
    "l2_weights_400d = np.mean(np.abs(weights_400d)**2, axis=1)\n",
    "plt.figure()\n",
    "plt.hist(l2_weights_400d, bins=np.logspace(-4, 0, 8))\n",
    "plt.title(r'Contribution of dimensions, $N_z = 400$')\n",
    "plt.xlabel('Squares of weights of dimensions')\n",
    "plt.ylabel('Number of dimensions')\n",
    "plt.gca().set_xscale(\"log\")\n",
    "plt.xlim(10**-4, 1)\n",
    "plt.ylim(0, 300)\n",
    "plt.savefig('regul_400d.pdf')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1943817a080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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ut3F8fIzT09MQmSqVSlhcXES9XsfV1VWoSXkgg+UeDJzw7wAUZg2fdrtdnJ6eBmJP0xQX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\nOgqtghxs0ev1Mh4dB/TYjUvu3mXE5KE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AE77D4XA4HFMAJ3yHw+FwOKYASZqm\nb/ocHA6Hw+Fw3DHcw3c4HA6HYwrghO9wOBwOxxTACd/hcDgcjimAE77D4XA4HFMAJ3yHw+FwOKYA\nTvgOh8PhcEwBnPAdDofD4ZgCOOE7HA6HwzEFcMJ3OBwOh2MK4ITvcDgcDscUwAnf4XA4HI4pgBO+\nw+FwOBxTACd8h8PhcDimAE74DofD4XBMAZzwHQ6Hw+GYAjjhOxwOh8MxBXDCdzgcDodjCuCE73A4\nHA7HFMAJ3+FwOByOKYATvsPhcDgcUwAnfIfD4XA4pgBO+A6Hw+FwTAGc8B0Oh8PhmAI44TscDofD\nMQVwwnc4HA6HYwrghO9wOBwOxxTACd/hcDgcjimAE77D4XA4HFMAJ3yHw+FwOKYA/z98nmtUjgri\nHgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1943d2550f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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tEl+G6q8i/NoExbg60jZjHj7PocvVTGkeftp4JSfL9JhMecrtw3m9jPTwLYdv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\nE3zDMAzD2AFM8A3DMAxjB/j/7pammb3KscIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1943d51a2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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4K4s2ULnzWJqHbyH95Wde3nleOF+G8Blq10V6FHsKfj6fDwqtXmMvlzJJmwoJ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\n6Pf7mEwmyGQy3oh3dnbw7Nk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      "text/plain": [
       "<matplotlib.figure.Figure at 0x1943dbf5e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KkhP+DWGL9Szhv3jxIurhqwcDvPLwt7a28PTpUzx//hzPnj2baAlpNptRr/D4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\ndHl5ieFwGDzmbrcbiL9arU6Q/fn5ORqNRthUedN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Lc/2aQ43NodZRlXZOOfubH1pYFwU2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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1943dce9940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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wMW6eeAohFTw02jdubm4KC9P5+Tn6/T76/T5OTk4KLwT3/X4fMzMzmJ2dxezsbHHcbreH\nRNPNzQ2yLMPNzc3QROKxCeEUvBXW4nR1dVUSTh9++CHee+89vHz5cijm6fz8HOvr64V7rtfrod/v\nh8XpmVAX93QXEaXioe4z6x5PBbJ6LjkVTDqJ8N6/qn1b4WQTJ2ZnZ0vnwud5AnRSU7mDp4n2iaur\nK1xeXqLf7+P09BRnZ2c4OjrCwcEBDg8Pi+3k5ARzc3OYnZ0t7VdWVopJQqvVQrvdLoSTThbC4hRM\nHTc3N4UJVrdXr17h1atXeP36Nba3t7G9vY2dnZ1CWGmAoAYJvm1cSPB43OV3qoqJsPtRs88UKySq\nREudkGoSz6TCSdvy9fX10LXV4cV7UCylnmstTkFw36T6jQ30vr6+xvn5eRHXSivTyckJjo6OcHh4\nWNqfnp5iYWGhCP7W48vLy+K9J21sCOEU3Bl1y7EzHB4e4vXr1/jwww/x6tUr7Ozs4ODgACcnJ4V5\ndW5ursiQ6Ha7WF5extLSEhYWFjA7OzvuywrekiZihHtPlFhstewqMVInyJq+j75H3QagJJz0uO79\n9fpSQeDe861g0vMN8RQ8BF4s0/n5+dDG5CBuR0dHhXvObufn50UAOC1MHBvspn1i3G08hFNwZ2w8\nEy1Lery7u4vDw8NiZrGwsIC5ubnimMJpcXER8/PzmJ2dHXunCEanabyQJ5Q8IVL1Xva5qdmw97yU\n+63qM1Pn6AknK6Dq3HLc2wFC3RL2Nfa51uJk90FwX2hbu76+xsXFBU5PT4esS5xM66ZB4QwUp0VJ\nRZN1Q6dKcERWXTCVXF9fo9/vF1amDz74AB988AH29vawv7+P/f19HBwc4ODgAKenpwCAubm5onbT\n8vJySTiFxWk6qYvfaSKYrOvLQiHgPc8TUU2sRE1cXPbzUhYtDiQp4aTuQy+OycYzqSjS7yAlmJoI\ntCC4K15fZajG6ekpDg8PS/FLNpbp4OCgFN/Kje9F0UTLU521adziKYRTcGdocTo4OMD29jbef/99\nfO5zn8PBwUHJVHt8fIyLiwvMz89jaWkJc3NzWFxcRKfTQbfbxcrKSrjqngApAVUlYGxB1KoUfiuc\nVJh4osgTPZ5QU/RGXGcRs8cqnLj3SM2ibUq2fh9ZluH6+rp4LjOLuNfz9TILQzwFb4vtP4xnonDa\n29vD7u4u9vb2cHBwUEycudeYJe4BFKKp1Wrh6uoKQHXRVxIWp2Di8Wa01lVH4XR0dFQEitMse3Nz\ng3a7jTwfpJcuLS0Vwsm66oLxkbKQpCwanqXH+1+VYPKOU59ln19nWfKElvda74acei99jj03K548\nvFm0V8vGLkGkgqlK0PF8QiyNF2strOtbD3FcR9P302vS0hu0OLFuH0vP7O/vF54H7tUKy42lBhYX\nF9Fut0sJFRHjFEw1nE3bjeZYBv8x7fT8/LyYXbATcFaxtLSElZUVdLtdrK2tYW1tDZ1OB+12G61W\nK2KcJoSUZcU+x4ojPbbWH08keZt9rfce9rmjbN7r6oRTykKleOem76nuBeuS03IDfI73WZ6rYhIG\nkqCaKkvlQx7fx3lpuRluLDfAOk1nZ2dFrJOOA6wObstzAG/6AWNeKZ5WVlYKL0Sr1SrFvk5KWw/h\nFDSCgYC60QSrwqnf7+P8/LyURsrGzs6xvLyM1dVVrK+vY21trbA6tVotzM1FkxwXTW649uZaZVVS\n0WGLQ9o1rJoIotRrqs6h7tz0eTZuwoomTwzZ78Jed2rGnLIu8X1tYHhVXJR3PpMwuATNGUXseNzX\n7+2dh1pTdeUHLW5J4XRycjIknC4vL0tjgZ6vCqelpSW02210Oh2srKyg3W4PeSLGHdtEYpQKauGg\ndXFxUcqM2N/fLyxO2mEuLi6KGYa1OFE40eLU6/VKFqcQTpOJ5wpKCRPP9eZZLG36fsqiZN8jFYCd\nEk12721VFqeUcEp9T/pZalVKCSatmGyDv/V8msR9eIx7kAl8UiJlFLSt6t9vcx7e3yqcuPKDlh/w\nLE79fr9kcWI/s5MJCicWuqTFiWMCY1+taIoYp2Di4QxDa3SkhNPl5eXQQKPCaWVlpWRx0k4SMU6T\nh2fCrxJN3uYVP/XEkyegvIrcVjilBJO9jpQ1CvAtTl481SikLEsqlm5ubooilxxMUiLNiijv2Lvu\nEE+TRROxUocXh5SyiDY5j6pjTlwonHT9OV2DjuUI6HlQixOAoUV67+KqmwRCOAWNUIvT8fFxUWbA\nxjj1+/2hzAgARRCgliFgjBMLoNHiNCmdIyjT1HrjiR7ecL2FnqusUPZYX3N1dZV06xEviLvJczko\neZavFF78kRVJPNasOK0MTiHlndtdrE3edxCMl6ZipQovkNtr61W/fd1n6579gP2WS2ZVxThZi5Oe\nO7GuuuXl5ZLFyavvNwntOYTTA9LEdWCPLakbpdd47qNBeefFla5VNO3u7hbZE7Q49ft9XF5e4ubm\nplh3iGsPtdvtUqfodDqFL5vFMOfn54cK/gUPQ1PLSROXl81W86xDauKngOJM1BNFqce85+j56Dl6\nVpmUxcn2nSzLkpl/Kby+yj6ga8ypVVWfO4pYGkU4hcXpYWnivrX7lNUz1S69fer3t7F3o5x/6jy0\nT+si7VoxnNYn/m2XTLHnruMDx4DFxUUsLS0V1iYWTK6qpD8OQjg9IJ6boSoTiOixNi6dsY568xwF\nOyCy7MDx8XGRcvr69etiSZXDw8OSi451mlqtFhYXFwv33ObmZikYnEUvOaPQANlgvKRupnYW6rUV\nFTjc681WBZQNOLXrGNr3qUv59wYW76bbZCLjiSZ+nvc6T9SoiGMdJi8IXAWW3byyBNY6puc+KYPL\nc6eJRbYuO5Ttw8vC1Lat901PcFWdoz1O9Qlr+dV+rJMh7at6bXodLITM9el0o3uO4wL7wCQRwukB\nYUPThkX3gucC8BqxLnyoCyDqTRe436wKe25qbdrf38f29jY+/PBDvH79Gru7u0VlcCucaF1iTNPW\n1lYhnGiGZeCfziqC8VIlmryZqN1bIaRxERofoX0idax/pwLHUy6yVNZa6nrt3hNNtq/qcZ1w0r9J\n1bnaeCg7SNa5YaIvjQdvcqH7lHva61Mqqu3kWdsGgCFBncKLh6qyLOu1qNvd26wlWScb/Gxegx3T\nrICiuJrEcSGE0wOS53mp3oWWmbfxGylzLS02Wopeb6IA7r1haSeh8Ov3+zg6OsL+/j52dnbw8uVL\nvHr1qliHiMIJGFjJWq0WlpeX0ev10Ov1sL6+PmRx0sA/e03Bw1Flvq8TTSoqvBl0lXvOlrNQ8ZS6\nAevfnoULQGnmrf3DusmI18Y8YZgKdK+yFqfc6loN3J63d76exclanuy1hFgaP16fsVmj3sRC27e2\nNSbV0DrDY7YN/Uw7MaiKfUqdc9W1WIuTtR5bA4H1sGh71+uxgklDNyZ1bAjh9ICwk9AXzNoWXrxG\naibbbreLTgWgNBBo3MR9YTsJBzC1OL1+/bqwOOmCjRcXFyWLU6fTQa/Xw9bWFra2tpKuOutSCcZD\nE9FUJyxSosmuU6UZN9YaZcUWjz0rD+BnrnGGzucy6cAOJjbuqWrA86zEVsClXIXX19elwG/ixUI1\nqSCesi7ouehnBA9PykpjwzWs0GAAtW1vbDMUEqlQD02o8dy4XptInbM91sfyPHf7tmcl9uqs8RzU\ngpYST1YkptrwuNp2CKcHxFpsmLJZNduwm9a/YBAdA2IfKr7JDoLW4qSuOnsdFHR01a2trWFrawvv\nvPNOyVWnwimYLFIzUP2/FRhWPFkXnQomiiYrpqqsUhcXF+656I3YujWq3Gh2Ju65Sew1pQQUJzVV\nwqlKNHmiLyWk7hLbGJaox6PK4uSl86c8EWxvvJdyHADKYp9/V7UHzzWngio1YbJ7azFLWYhHsTip\nULLiycb0pr7vcbTtEE73QMqkf3JyUriyjo+PSy4tq9QBlG6c3DNYTjMT7A30vq9FS+mfn5/j5OSk\nVCFcU029QoS2YzBTglkSk1iX4znhxdqkSFljrLjwLE2eYLJbSih5m2dx0U3FBuMjdGNsIL8DbX+2\n7+r/9Oacun4+x4qnVG2qKhdfytqUctVFH3o8Uv3Gu/+z9p3Xxu3kgdnIVrwvLCwMLV/lFUodxetg\n24u1SrEtW0FlRZP21VRAuH4G45parVap9MDy8nKpZhPjmupc0+MkhNM9kOe5G8zKWke6HR0duT7h\nmZmZQiTpfnFxseg0OkB4jeo+uL5+s+I1i5lx5evDw8NS2QHPdAyU69eoKdaaXielEwTDePEOKYto\nVaaNrfdi05a9QcXLrvMmDdYtZ0WSt/cEl7WyqhBUkeRZqHSg88SMl1VbNbh411flqpu0AeW5wd/P\nyyZleAbrGtmlSKxw8n7DxcXF4l7Lez/DG1gHrEo0eSLJHtuJgSekgDceFA0/0ThF22f4eh0PtF5T\np9PB6upqqQCyF9c0iW07hNM9wAHEzqz39/exu7uLvb097O7uYnd3F4eHh0Nq/eLiAvPz81heXi7q\nHS0vLyPP85JAAVA0QHuTvS94HRRMBwcHxXXUCSdguKOo5cnOJoLJo85s71lc7IDBG6tnbdKYuJRw\nsiJD3Ra2nXnxEncVTtfX10U8EvsWr5WP2+/DWpx4bsSKplRMoz2nVFZdlctuUgeZp4j2Ew3J0KDp\ns7OzwuOgngfP2srJs/2N2+12Ido5EV1cXKyMmyNVosk+7gkl687T60wJJ+9c2C5thfBOp4Nut1sq\ndkkX3UN6Ve6DEE73gJpldd0eCo7t7W28fv0a29vb2N/fH3JjXF5eotVqYXV1Fd1utxQrpBlFANwb\n531fC69Ds+i4vAqrg1M4eWbilHCiNSAsTuNlFLN+lXiqimvyXHV2eQa6e20sk7Yra9HRNqPxEmpp\nqhJQKYsNz5/vyXPwXHf2e+DzgOEZvRVNKWuTvqZKNHnnbj/Xe8/gYVBrjLXEcPK5v7+Pvb097O/v\nY39/350wXF1dFfdG3V9cXJQsTfRAzM7OJoWKR6qtqEiyf3uuOrU42cxYLyDcTqR1vdKVlZUi3tUu\nrzKpLjoSwukeoKtOlyQ5OTnB3t4ednZ28Pr1a7x8+RIvX77E7u6uO8teWloqZaYxKJADiWdxAu6/\nQVmL0+7uLl6/fj3kqrNl9Pk98Bx1QEullwaTieem475pfFPKVafLM6hwUqHFtk7Yxm9ubko1a2ww\nuOcWtiIqZXGiaOLeWqJsP/O+B++cU0U7UxlHKauTxjmlxJ/9bD3XSRt4phk7mfBcWP1+v4gN5eR5\ne3sbOzs7RbvXNn99fV0S/WzDl5eXJcHRbreLx+bm5pIiPCWUUm0lJaD4mMY4aaasF+OUit9rYnHy\nhNMktt0QTiOQmn2zEZ2enhZLklB00Nr06tUrvHz5Ejs7O272UKfTKWYVy8vLpWBAYFi539e1WGg5\nOz09LWKbdnZ2sLe3Vyytcn5+Xoo74flxULOWplarVQoMn9SiZsEb7M3PswDVWZq8uCZam9Ti5JUd\n0PauN0+beealNGvlYbU2VbnqKJr0syjUbB2ZlMvSw2bg2XhAUieamsQ5pYh+Njopy4v+X39/iqZ+\nv1+s10ZrEyfPHAfUxaWB4Rrfym12drZY+FbLFnjixDtW7HO811ddq2ZZq/u9ylWnfViFk1qc7IK+\nTUtvjJMQTiOiQXA8pnXJbjs7O9je3i7ig2hRohuAVpksy7C0tFRU2GaxyHfeeQfr6+tYXV0tCkbe\nh2gidgDI87ywmmlQOKuDHx8fl9ajS93gGfxn16bTEgRVtTmChyU1GHhUxTV5MU0ay6QBsSqWdD0r\nDSjluekEQfe2zosKJXusYkmP9TsgKnr0Oq1gsniZePa99ZqaLKtyFwuTfoZ3fWFxGh32Ec/6an/3\ny8vLQigdHR0Ve44BnHjyHurVPsrzHPPz8wDKWcl25QidGNClVyWoqzwTTe4D2h9sfBPjFDnh8QLD\n1bPAc2eWNWN6uTxXyk03iYRwGgGqbpsRcXR0VJhh1SS7v79fZNMxPoj1aHgzYwfgrGJ1dRVra2uF\ncOp2u6VK2/fp4rI3gTzPiw5xfHxcmjF5C/kCbzq5ZjYtLS2VFvXlgr6sgM54p0nuGMEAzyWllibP\nLUdx5K3aE2FdAAAgAElEQVSWbjPq1H2llibbpliN3gokfUz/tll2fC9ek14f27K1pqXiCVNi0huo\nrAUpJZjqqoR7A2ETN11wN1KCQi0v3DS0wU6eNb6JoQ46+eaWZdlQOIYnmlIFIquy0Kr+rrOo8Vjd\ndLSsaT9WixPf11qNaW2icOIYYeObmljPxk0IpxFhR9HZNItCvnr1qrQdHx8X8U4nJyeFcEpZaZie\nub6+XhSNbLfbxUZLzX1gZxLcq8tRXXV6vdbiZINyeb5WONlYp0ntFMHwjdOzNqUK+qlLjmUt9Ear\nN1zrulLLjA30VheGbt4ioTbQVivu2+uyweh8zFp9vO/HWpx0YpMST/ac6gRTXaBslbUpuF+8ZAjW\nuuP9km45xoXSCnV4eIjj4+NS4gHb0czMzFAfqFuSJLXwO9+jabto4o7Uvq59XN3t6ka07VlrEi4t\nLSWFk4ZxVFnLxk0IpxFgECmtMicnJzg+Psbe3l4hnD744AN8+OGH+OCDDwpTpm5XV1dFkKqKDrU4\nqavOuibu21XHGwFnDClXnU0/pXVABzkOYimLk3b0sDiNjybmeT32rCtsMzZY1AsCZ1ycLXx5eTlY\n29ATGLaMBWerNPXrvm5Q0c2LOVK3DAfFulm8933MzMwU+yYWJ88dOUpc0yiWheB+sLF9vC/SVcdk\nmg8//BB7e3vFGMHJ8/Hxsdv/GOgNDFucUuu42fIuTSySKerEU5WrzrM48T31fm9ddZxga3Hkacm4\nDuE0IiouGAhO4fTy5Ut88MEHeO+99/Dee+8Vfl/dgDcNamZmplRJ1XPVefEO94W1IHDws9e2u7s7\nZF5mXR0d5GynsMKpSaxGMF6saNLjqkw6z+JENx2Fk1evSdu2naFqu2LbYvvicUo4pQSKnr9aiqxo\n0nOzM9+q4HBaDjSuqMpVVxXjVOeq477OqhD97P6wIoL3TJ1ocgK9t7dXqlvGY2C42CmAUhuyS5LU\nWVRTwmkU9Dy89m1ddSqcbF0/Xp+XKMSsOsbBehYnPZ9JJIRTAutCoLVJF7tlUctXr14VQeAMAjw6\nOnJdALwhanZBu91Gr9fD6uoqOp1OkZ65tLT0YI3HZoNw8wJ5z87OSh1IBwYu6MtOsLy8XFyHdopY\nk26yqbMy2WBwL6ZJ247dbKV83mT1BstNb7BqXdKN4ok3XBsLkhIjGlPCiUyVK85zUdp4LxtE7Akl\ne40ae+UJqLrYJh7rZyr6dwSHvx3621IwaXtnWINdJeLw8HCo2OXl5WUpKYi/OyfPFBQM29B0fd5L\n2XY8gQ00szxWxXDZPm/jetVNR1cd+3TK5W6zBXUy5GVbT3p7DeGUwAuIZRAga3Mwlok+7f39fZyc\nnLixG4SiaWlpqQj87na72NzcLMrPLy4uljKAHur61MrEznBycjJkgrWDA/d6Lezoq6ur2NjYeLBM\nwOD+sTE/euzFdPAm6rnkGMunAeF0UXvmfJ1dW8tlk40DicZDaQydHVi8fll1ranNiigdMDzrkhes\nXieaLJ5QSlmhgvvB3vOur6+LxAdWAqeliRNmXVpFJwp8D1tGg6Ea3W4Xa2trWF9fx8bGBtbX17G+\nvl4sjM5lSWxAuHUN637Ua7WuSJ6/TpC033vjBDDsbqyKT/RcjpNOCKcEapHhTbLf7xcurJ2dHbx8\n+RLvv/8+tre3i6VJKJxsPQvgzU11YWGhKADGjrK5uYler/fowklrj3Dg44BnU0ztgKPX0u12Sx0+\nhNN0UBcU6t1IvbIDbDsUTuqi6Pf7buFHa87XTDlalBhIaq1P3my1rtCluuSsOKmyrqWEkxVNQLn0\ngLfQ8NuKJ36G7lOPBW+HN6GwweAazkDhpJNPb8LAyYLG7dFS3+v1sLGxgc3NTWxubmJtba0oFKn3\nU50YpNy4d7lWoLyEjGdZttmxVhzaPuAJJxuvpStKTAMhnBJQWOgaROwwVjjt7OyUBo7z83NXNAHD\nFqe1tTVsbW2NTTjR7MxMOu30NlOCr7MWJ4pAZgOGxWn6sGLJZtR4wmkUi5Om/Fu3tY2BoFiym5r3\n9QbsiZLUIMLP1LpLKZdcSjzZWL86N53dvIw/jcOqCvyusixMy6AzTVjLpJdFp3WatGwL65SxTel9\nkxMFtm2KI51Iv3jxAqurq4X7Ti1OVe7ct71eTfzwCtmqC97GONkJkY1tqrI4afufdEI4JfAakGdx\neu+997C3tzcU/GqzCwgDwtXitLm5iY2NjbEJJy1BYF111rViBwlPBG5sbJRMyyGcpodU4LOt2+S5\n6iiebJwcJxJerI69wWoME2M+uPcqK2sguK3XZK8LgGtt0uu2gsmKJ034SBW/tMIpVVPKszZViScy\nqltmGgaiSUb7g66soEUurXDiPdT2JeDNGKBxrgx16PV6JeHU6XSGxIadGFT9vlVtKGVt9oLfUxYn\nrxSBFxheVT5E+0UIpylHG5DGdDAwnFl077//Pvb29ornW5eWvbnNzMyg1WqV3FsvXrx4sBgnPQ9v\n9qSuOgqn09PTwuKkMyWLZ3F68eJF4ZMPi9P4Sf3++j9vr+25zlVH0aTC2yYYqKBQd5S9uVrRZFOW\nvcKXnnVHr8OzcumAk7I4WUuTDWy3WUT8nq2rzhNQqQDxqjiPKtdcuOruTl0fscKJ69Dpslq7u7ul\nIpcUTsQKa7U4qXBaW1srXHUvXrzAysqKa6Wsax9Nr9keA+m192x809nZmeu+5vmpqy5lbbIZsNPS\njkM4JWAHURcE/dlaBdyWmVe8oNXl5eXCNbe+vl7KpuOsmsGt94k9R6+sgq5JR/HEzCMPvQnY2JRU\nJdhgPKTEr/1/E0uT3khT9Zns2lXWwkQrkw0etYHfNvvGLqdSFRdUZz2zGYK66bVpRhSLv9qECW+W\nbbe6GKe6cgT8nOBhSIkmnUBoe9Eir1XZZXbjxJkeB4ql9fX1YsKpC942jX17m2vW4He1qrGIM4t3\n0gWv7jmvn7N/28mQute9mk3T0r5DOCVgFW2KCg0CpHCisPBmtgCKVH11OXS73cLCxM7S6/UK4bS0\ntPSgwskGOXomZysMU3izCq49pBXCWZcjmBzsDZPHKjCs9UUtTXbx3irxVCUuUqLJ1mviQGKFiM2e\n865PBz+v6rkVhd6mosp7f+BN/BSFUapgYV2wuFe7LcTT4+LF+alwYttX97QNb7ATBm4MBrcxrhqu\noePAQ4kmvVbub25uirjXk5MTHB0dFeOfjd+ie86L89P+TauaFU5enNa0EMIpAbPoTk5OippNr1+/\nLrInGASuMUB2xsJ12xj4xxnGO++8U8QCra2tFfU6bNzGfZEK+L24uCiEE92Pu7u7RQdh50jBG4L6\n63VmERan6SAlnuxgYcWFt4yKV0lYzfca02QXLtXZqVd2wFu4V2etnsXJXpNnRbMWJ+96VDx5IiYl\nClU0eeKpzuo0rTPyp4A3idDwBk2K0ISa1GSBe04wGaqxtbWFra2twvug4Rq2TTzktVrhxGroXHPV\nxm9xBQk7KbeZsrxe9uvUAsVkGtp4CKcEtMjQ4rS9vV0IJ89VR/SYFqeVlZXCJLu5uVly1a2traHX\n62F5ebk0INx3J/Fm3mpx4mK+YXF6PniCqSrep85Vp8GiNmA0FTSqwqmuZpON89BZK0kFfaesaF7l\nc2tV8woYqjVI99YNWeeqqxNP0zojnxZSLmyvL9iCwWpxsqn51lVnxYRanDSeaWVlZchV51kd7+va\nvX5vLU6ecNIlkyyeq84urTI/P/9gmYGPQQinBBQWWn7g1atXhXBSi1Oq81E40dLEhXs5w1CL09LS\n0pCJ/r7wZt68AVjhRGvaqDFOtBhwVhGL+U4HTVx1tvClFRdWRNmUfTv7VquRzbhJLauyuLhYmrXb\nYFLvulJB7lY0WatTnauOn53neWEZtkHhdrmMpuLJZtbxPjBNg8pTwVpfdQJhEyNUOKkXQt10Kpy0\n4CXHBW33dNUxSeih3bRWONlJdapGFc/Jbpopq6EqqRinaWvbz1442VgP7i8vL0uB07u7u4WwOD4+\nLlS3pupbdHbBrDPrnmM5/cXFxQe9RpterYF/XL1blwlgAUxbVkE3OzhorQ4dDKatUzx1qjKHUpYZ\nLzjcW3/Ors/oVdW24sKrLpwqkOdZY7x4I3sO1mpml4/wNu8a7WBhr0uz5arimpq457zBMvrS46Ah\nDanJg7Yhu14bMCym2ZZ1rbZut1usuGDbfMpaP2obqLKq2dUxVBSqxclmC9Ky5lUuT2XK2qQh66ab\nprb97IUTgKHGk+d5KWNCxYWaKq21yTYAm22mixqqKfahGwwzBNVKsLe3V9QesZ3Cyw6x7oTZ2dmi\nKJs3k2hSjyZ4fKzIaOKis9YZK5Q0ENyrqG2DZPXGagVGVfwDz0/PP3Utev56HSqMmCGkpRS0gKcV\nTXzPmZmZIdejV6+pSiDddabNzw3uBxXeRNuQXctTxbQKJZtlyfdWK5O1ynuZovbe6XFfbcD28+vr\n61LcFsc9brSs8br1Onmt1qKsk+pprRLu8eyFkzXF6vIqVjQdHByUKqZ6vmw9Vj8vZxi0MD1m8LTG\na3Fw4ALF+/v7lcsEaMCfTbNWEajBu3X1aILJoEo0VVmcPNGUWorEszZVpezbjDltQ3wvFpzUv61b\nzqv4fXl5WYgiFU1a9V/Fk2YHelX0rRBUkdREQDURT/pZwf3jiSbuNaTBxvVpu08JJ71n2uQZvW9a\nV+5j3DdVHGo/1jVLOfbRy5Kq72fdkeqms54Iuy7dtBLCSYST3iSt8j48PCzcWGq2r3JleRancQkn\nBvsxtXR7exs7Ozsl4aTLBOgACKAkArnR4qQ3gLA4TS5eEoMXB1RXBFIFlGdxsu9JrNBQC5O1PKUs\nTrqnePJcDl4MkwoniiMVSvax1BIrel32elLZcim3nPcb6WazBKMvPQ5qcWKwtHXfqsXJszbZybMW\ndbUFXbUQ5ENPOnXCwXGP/dmzOB0eHuLo6KhULdyGqKT6tgonrRQeFqcngF1axWZMaAOyA4mdEVqX\nBH3a43LVcfatwmlnZwfb29tJV50OouqS0Gq3vB7eBFKxKNPcOZ4qKReXFxROweAFUacsTl7MkRck\na111trClF+Nhb9iepYyxGnq+WrQwZWGyokotTCqYbOCvFUd19Znuki0Xoulxsa46xv2ocEq5p62o\n9rLLNPFBs8z4mocWTWpRs9fojXtcvN5anHS88wrA2tjFVHzTtPHshZO1OHkNSF11djatNzTbiFIW\nJ40Jus96TSkonLRCuC4ToK46pph6lgJb0EwD222dnWlMMX1OWOuTZ21qUmHbszil0JgPa2XyxJOK\nDE+MVbkXvXNlFqkODLpMjHXh8VqsNUH7vXdN+neV1alJHwlX3eNh3XbWVafCyZbcqIpxUledWpys\ncOJ91msTanW9r7Zgxz1alHQJJY593vIqNkzFThyqXHVWHE5b+372wsnizcK91OqUadZanGwGkefn\nva9GY10ZPH9bIXx7e7uwODHoj+ZXe/PgtdFytrKyUmSBbGxsFAXbaHWa9pnEUyXVNlIxTdYtZ11e\nammyrixi24AXxO0VpJydnS2dD2/E3us1EFyvRcsK6DEFk7U2afwKr1ctS/aa7GBRtdX1c70W7+/o\nS49PajLhWZmqXHVeFqnNOG5qcfSOR70WPWbWuE4idnd3C0+ErdlkM2W9sc5L8qiyuPK70u9tGgjh\nZKhS+01fawviVWXb3HdDsR0kVehye3u7CPpjpoTtkDy3mZnyYr5cW2lrawtra2vodDpF3ZFUhwjG\nhyeaPNdcE9HkiSU7iADDN8OqWCT9rH6/jzzP3RpHVcJJr4HCyVY1V/e7DRKnsLJLxfDcvYmRDYgd\npcSA/g763TBjzwop/S6DxyHlxvaysD0x47UPvf+zPagFU8Xy21iX9Hw8VzZL0uiSKl7ZHV0dw7vO\nqrhFL9bV2/S9poUQTg52Vtn0Nd6NVZV4VcbQfeDFYuiadCyfT4sTZ9yecLLfwfz8fLF8DIu2UTh1\nu1202+3C4mRfH0wOdRbVpqUHrNleb8qeW8EbhPQzaRWiZckTI3ZSUGU1U9eDXdFd3XF0v2htHk23\n9u4BTcVTVSyHJ2J1EPWEkx1Mo289PE1EkxVQqXFARZO1QloL432IJu5tzCL798nJCQ4PD4s1WCma\nmDTEscFzR+qk2suS9a415aKeRg9FCKdb7A941x/S6zRNs4buAzsLTy3mu729XZqN1wW6UzjZ9ZXW\n19fD4jQFeK4gKziauOiqRBP3VdYVLwCdn8V+cX19XfQP3adcDtbaRCurV9xSH+OxjVnhdQFvrAbA\n8Lp0Ta1NddmBKUuaWqCqBtPoZw+D93s0tTrVCSfrbbD907YVvmeTc7Z7jgdaVuPi4qJIFmL4BlfG\n2N/fx/7+fsnipNmy3jV64qmJxWlaCeGEYbfCXX7YOjO+Z8a871oW3mBihRMtTjs7O0PVxL1Oweux\nrjoKJy5e3G63S+sPBZOJ3lBHCQYfxV3HNkOsJcVam/g57BMsMmm3UYWTF/DtLU6sGVJ6bdqOmcRR\nZVVWkZcKBPd+D2+ABjDktot+9Xh4k4w60VTlxrLjgE18sO467ze3E9uqc7bnbvsa4/007vXly5fY\n3d0tJU2oxUnfk3ixvKnsWG9snVYhFcLpFntD9Bq9ugsAP0ivqkF45nrOKr3YEO/vKrSTcICz5fM5\nw9jb2ytdQ0o0WYvTysoKer0eNjY2sLGxUWSJsLzCtHWA54I3OHsi2wZqp6xNqfgmbc8UT3XWJuu2\n5kK62g8pIvS8PVcdj3X1et28gHGtx6N7OwmoE01NAmFTv0eVYKq6z3i/s0f0ydHxBEjqd/NEkzcW\naJ+w/SBlqdT3rDtfz4rJZVTsGpOcSO/u7pYWsbc1q2zSh71Gz+KUctXp+Or1i2lpp89eONkfng1P\nay91Op1iTSE7I7+6GqxdpSZRQlVPP/Lr169La3PZcvteAxsFBsWy0TMYdm9vD4eHh6XsOZ6z7vl9\nWKuZppay/ogKJmaK3Kf1LLg/9PdNiScrbuoGC2+zn6ciSmOZ9IbqDSAsZ2FvtFXCyf7NCYNXtLBu\nmZg6l0uVFdlmSqUGWr5nlTiyv6EdGPUzqgacaRmMxg3bGI9TXoSU9cT+PhoqcXZ2Vtwn7T0/z3Oc\nn5+XREadiyslkjyLmE4S1NL66tWroYXrNYtOkyS8Nub1C088VVXO5/tMGyGcjFWFj+lCjCsrK4Vw\nUtVuBxqrylk3hsJpe3u7SOu3m1Xpc3Oj/zSaQacFzGzZAS2rUPV9aGC71uPQ1a61Gmy46SYP7+Za\nd6P1xIgnsOoEFPBmeRTPLZdlmetGsIOGFU5NzkuDw9XKRLdc1RIxdvBMud29TFnPUqDfvz1Xz7rU\nRETx+2jS35o+LyjjeSBSVhNvcnJzU140l21eRROAQuhbV68n1qomETZBgpsnmvr9fhEIvru7W5Qf\nYKKQroyhFjVrRfNiuKr6hycI9X2nhWcvnIA3flr+kLOzs0MWp9XV1UJ8MN6BLjFragdQzCIonHZ3\nd9FutzEzM1MIsuXl5aJeDOs73dzcFNlp/JymcHahGXT7+/slixMrg/McU9+HZ37VRSppcdKOERan\nyUYtQVUCKmXZ8QZ/fV9v0Oeg7bnmeLNX0aTV9O2MP3WOnjXGuidSBTvtrNqef1PxVJUt633Xam3z\nLE91AsqKpxBHD0OVxanK5QSgFGPKNp3neSkwnH2g3++7MXKeFUr7gnVR2+QNfr7NMO33+6UyBCqc\nvImF/U70u/GssKnNc0NOo3h69sJJXWLaQNXipK46Ppcpz9oBAJTUuc1ma7VaAIBOp1OKreDrNMZh\nVNGk52StXLu7uyNbnGxnUFedLlRpO3sweXgD8iiWJjvop8SKfh73HCx4U2cfA95UZlbhoZZLu3ku\nOe/zAbjLw3iL9nJWbs+bVMUzVWXK6ndtvzuNBav7LoOHxVqLVIRa4Z6KXbMDv2dx4vteXV0NiSbe\ns7VdpWLnuFmrUlVsolY919Ic3tJDmkWn9Zv0+jwXZpWbronFadp49sIJwNDNDijHONFVd3x8XGrs\njMXg62wDU4tTq9UqYqiY/k83hs6wGVN0l5unuuo0rsrGOGkcVur7SFmcNMZpaWnJ9fUHk0nKtVYl\nnlJiqWrjZ+mgxBu7ujZubm7cwcLORq1wsufI55Esy4ZKK6hYqptR6/uM4pLwzt9+93XWppQVz26e\ntSmsTqPj3WdT7qiUpcm79/H3pcVHxw3+nx4L3rNtyQJvryU7bDtOLTOkwd62DIctEksPiBX6tn15\notKL+4sYpydK6sdjFtny8jJWV1cLNa4zh36/j7m5uVKAuO4vLy8LZU/3G/3Zaj49OzsrFv/VbXFx\ncaizqo9bPwtAUciMvuvXr1+XllZh4F9qoLDfR2q2rZ0jmF5GcQ0BabdFE4ujTjDoVrCigfWbUjP5\nVEC4Poev08xSK5q8bEDPbWCFkiZ0cI0xXcDULnStIspaKfSzHpppHJjGjff7M9bTyxxTYWwtStp+\ntY2reGIMlLadpsLJWpuscPJcdTZZQgu/WhHP78ObSHihHFyXTvtEKoFiWtvmsxdOKebm5tBqtYr0\ne8YGcearokhNmho/ZM2wwGDmzdfRKsS13nTVbG4pP7E3C93f3y8yJbi9fv0ah4eHQ2vSBc+XUQZu\nK5S8WIb5+flCjNANZ0VYlUVJUeuJtVrVCSedFXvPrYrbAjBkSVA3tVpb2U/tJMdmzHqz7VTQb0os\n1lk2mvyeYYkaHbX+M6Hn+vraFQWayKPtVv+maAJQxDwBb9zV/X5/KDB8VFcdRZhaWFVIaawfvR7c\nrJW56jvh+amYZP+oWsS4LoFimgjhlIBxTisrK4XflzNZpvwfHR1hYWGhECMar0ThRDMsH2fF1qOj\no6Ebr1XsvBnbGe7s7Kwb63FwcFDU49A9/ddNLE7B0yQ1AKcG4tQM07M6Xl9fF3srnLi3N0wrAvRm\nXXXsCSEVTNayVRfHZQeJqtm0FUtWQOnzvSKAnquiTjSlfsuq/wfNUWFuH1fhzMmximQm9NDyrhYn\n/W10Mk33LMU9xxN6JFKbiqmq4HBbj03FlN30ObYyuGdtSk2gNPa1Sjg95HJjj00IpwS0OC0vLxcD\nwuzsbOEzZrn6VqtVqHeicR0MIOfxyclJ0ZjsZs3/CwsLQzdqLm1iO8zNzQ0ODw9LKabc25TsEE7P\nC29waGK9qBJN3FM0sS3aumY89gJrLVWz3VQ8lgomPfYCya1gUguxJxQ9i5PXHzlIpKzDVjSlBJT9\n/qt+p+BhsRYnthtrcaIo0HbG8cKzbGq8EOuaUVB4bTDlGk9ZT20hV/ZJK5I0vs+W5Eh9H9ovNP6V\n/aNOOIXF6RlAixNnCOwkdLMdHBwUC9taUy1vxrQ4ce/5r7mp/1zFFIPTWb5gZWWlmAHZjdl7drOB\nhCGcnidN4wqaiqdU1XDPjey5plJ4s14AQ59lhZO1YDW1Otlr12v1apilNs+l4lkLqoKN7fdvf5Oq\n3yq4P6zFiY/RXWsFgRVN1lVHMQ+gCPWoC5ZOCSn73jZO0ZscVLV/zwJr255ncWriqlOvyVOxNgEh\nnJLMzs6i1Wohy7IiUHxxcbFYtoQL27LzAGVTLYBC0DCTgng3RN6k7dbtdktbp9Mp/O02OPD4+BgH\nBwdF/SbW5wgCa5FJbfr8lGiywkkFlBVOvCFXZSQRa3GyAqqJcLIWJ92s0EsFwKaCgussTilxZN0t\no8Q42d/QO079zvzupn2QekjsdwW8+W5pceJzZmdnsbS05AY+s31ZYWDj8wAUVtmmv4snpOw1NLlO\n7u2x7Wf2XqGfbe8FXt+osjhViUD7nU0yIZwS6IxDG3yn08H6+npRTBIAdnd33XRPzd7x/MhAubFq\nBgYHHWZbAG9mKq1Wy63hcXZ2huPj4yKWqa7sQOq61W/NAPlYXmU64U1Qjz1R5IkFti22BU2CoBX2\n/Py8iPNju/RcFKmbsLfneXozaRVAVaUEPKuXZ2Xi59nSG5pVu7KyUtRy63Q6WFlZKfqEDhCeWyXl\naqn7f0rUjmIxtMfBMKnvyopothneD1dXV7GxsYGzszPkeV5aSJp7pvbXWTmr/q6b4OjzrADy9qk4\nJvte9h7BAHmbKNHr9dDr9bC6ulps3W63yBKnaPJiG6u++0knhFMCvaHaTrO+vl5UDJ+fn0ev1yuW\nN+HK0sfHx0PViumD9rADAx9jtgVfS5+4N4BwbTqWzb+LcOIsi4Nlu91Gp9MpCSemkwbTgRVP3HvB\nnjZ26fr6ekgQASji/SiadJkGG3uhVli7t+LBzjr1Rp/KJPJcFPpaL7ZJv5uU64GzZy2C2+120W63\nC/c5LRALCwuVYtATSqljTzzpd6bn7j0e3A9WPGVZVsS9rq6u4uzsrFic197/Z2dni9hXG1fktVEe\n83P5d2pi4bUFb7Jg2ztJPe5NajhJ0j7BSQWFk4qnTqdT6hu2/EAT8T/phHBKwEajf+d5jk6ng8vL\nSwCDWk/Ly8vY29sr3GPc5ubmStVa8zwvOo4HG7KKJnV9MJDw7Oys5FPXgcFb8X1UKJzYSTTGimvq\nhXCaPuzvZUXTzc1NZeySWnbYRlJ1YKpea/EEBuC7FGyQqw1wpdXWcxWmrE3ce/FMulalrh6gg4cV\nTqmtSlBVDY4p8RT97+HR9si2ReHU6/UKl9v8/DwODg4KyyNdUnNzc6XyADMzM0WMqSf27aTBWoX1\nmP/XPTDsztb/e2LNXq9uGptHi5PG2nY6HaytrZXEU6/XKyYXKYvTUyCEUwJ7E+PxysoKgDeiqdfr\nYX9/H9vb21heXi4UNoBSzSUKnyrY0DUmxBNNtuCaii6t4XGXIHCaZZnRxw5iXXVPpQM8J+xMVm/E\nam3yXAt6M+eNNJXinIon4mfbc6gSTrrZqt+zs7PFcZZlQ4OStTh552EtTrS02pUDVDh5i3Rrn9C9\nvZYJbWQAABpnSURBVD7v77pj+17T5taYRvQ30L9ZooaWVcbCUiQwUYiTXi1Eyd/KxuelArM5Dnix\ncvo8bQMa7sHP4jjC99S9Xq8ee7FM6oFgX0hZnLQwrMY26Xc5zYRwSqCdhuKHDXZhYQHtdrsojLm/\nv492u10STbyZq4utKi5I3RGc3XDP19qbqe0EdnZ9V+HkuepocQpX3XSiN09PNOV5PiSa7MzUCgy7\nlAmFkxVPXjViHnsWl5S7wX6Wde+pS9B7vdcfrHDSSQMzhFQ4dbvdUtkQra3muU/0M6osUqNYm+z7\nBw+Dfv9sq7Q4qWhidjXbwM3Nm7IcNljcJisQ23b1862I8QS1nrO+b52bzmtT3meynbM/dLvdIdHE\n/crKytCyK/acp50QTgk8VcwZglaSvbq6wuLiYvEc7RRe0S/W/KjyQ3sxGqlS+G9zfd7sVjvG6uoq\n1tbWsLa2VgT80V1XJQKDyYI3fm3P3ixW3XX25mrFhbfum13ORI+9FGm+t2dh8SxHFxcXmJ2dxeXl\n5dCgpu66lGiyA5K6JGx2EEWTuiYooNivNauKE6bU9990q3q+/V/wsHiWPSYNAG8yr/X+rxPX+fn5\noaVObGKPTjA8axDbp60B5kHBprXUKMiq2ottW6lECfYBiia66RgQzpCOdrvtCr2n1GZDOI2INi6i\nAYO8qWvQuAYOnp6eugOOjVni3s6yNcDwLufNY692FM95Y2MD6+vr2NjYKI43NzextraGlZUVtFqt\nEE5Tir1JqunfE+X2ebyh2lIYnmjSSYQXc2Q/g8fecznDtxZXukTsY6lgcC9exAa+UiAxg07XkWS1\naB1YqrJMU4KniWBKPRY8LmyTwBurKxN0gEGb63a7haVnbm4OS0tLOD4+Lq1LymPbX6yLme+prrom\nlcMZ0nF+fl60R3XdedYpu1l3NYUhJ9Hr6+vFtra2htXV1VIgOPuCTXB4aoRwGhHecIE3MwO67lZX\nVwG8mZWcnJwU6alc8oTrxbETaWfyZuo6W2EHtmULmpyzndXzHDXItd1uY21tzRVONMXaOK5gOtCb\nP//2BntPONF961Ug9jYvONybFHhtl64OK4AokPQ8+Xkp4eS5G6vcEJpFx9k1Z9Ba0E/LNqgrwvsu\nrQjivu6xEE+TBfuPCif9fVU0MQ6KJWv0fs8kCs9S63kgtL1qu/UWsGYcLN3djHnleJFqczousD9Y\nq2uv1yvEkm6cXGiMlxVNT7HdhnAaEW1oAIoZ6/LyciFI2u02ut1uMcvQFalZMsBurLtkOxTXmdMg\ncx0k7IBYdd7a+Tgr4syaMRxWMHFPlwVjucLiNH2wrdg2zP+lxNXs7GBRUcZApeKYUoKpTjh5sXre\nZq1R7CNVwsnGNVnrGTNI1UWnFidt95yBe9X/m7pCdJ/6X5XAssfB46GTCP6tv7+KptXV1ZJY0s0u\nwsu/PRezJ5xmZmZKgox7lq4BUIgmT4TbvQodzajWfkDXnBVPFFYqnPh9aL98aoRwugMUMbyRt1ot\nAG8sTbZ+k6Zrn5+f4+joqNjoxmPtJbtx8cc8z3F5eVmyPI0immwHVL81O4GKJt3W1taG1tUL4TSd\n2BumfVz/x80KERu3VCWS6o5T8UjW1aduET7GZSuauOqsYLRVwb26TbbQpVYIt+4TO0B4wbf2Oam/\n6wa6YHxQLHFP15aKJiuS7D71mNcP7L2bx1pomccnJycA3iwmXxeUbS1CbMu0OC0vL5fimSia6Krr\n9Xoldx4nFU/d2gSEcBoZrxGyA7Xb7dJN23NjXFxcFMuh6NIotDrpRl/1zc1NIZr0Jq035yoB5XUO\nBrizFsfW1hZevHiBjY0NbG5uDgknnUGk3DzB9MA2xN9UhYX+1hTt1lLU9LEq4ZR6jmfJoitDLU3e\n2ldNXXU2i45uOLU4ea46WlutuBz1e6/7vx1wnuLgM42oS0vbVqvVcmOO1KKkoknv8RRPtg/ZZAa9\n/56enhbeCIaE0DLMsaKuRIYVZSoEOanudrslC5NanHq93tASYZ5Ye4ptN4TTCFQ1AA2wJd5M/OLi\nomSCpYg5Oztz/eF8DeOkqma3KWh+5cy61Wqh0+kUYmlra6vY2DGYJcGgv2A68dos25/3PNuWKNyr\nrENNHm/qxlNXINf+YhyTFz+ROi+9LhU3Kpbs4r2M6aDVSd1zTJ6wbggvADYVuzXK71VnYXqKg9Ek\nkfp+te9on2FbpDub7dnGM3HyrALKszipK9tz39oJdJ7nRSV/dZdVoZZXiiZamjqdThEQvrGxUZQd\n4ISCIRsa5+dl0D1V8R/C6Z5R649nnVEfMk2xc3NzpawL6xvnGnReDaUmrjrGXdH1QB/85uZmYV3i\nMQuYsTYJ/fnB08Te/K37jqIlJVCsWEmJqTrhpJuKI61Jo4/zs6oEm7Wy0kVN0aRWJm+jlUlFk7W6\nWneEJ0rtd930NwmmA/t7sb8AbybUbC8M1PYyVKv6lf0Mzcij8NLSN97EQs/XuhrZL3R5IQaEb2xs\nFOMCF7dndqku1fSUs+gsMSo+AFY8AWWXCLPwKJq4WKpNWz0/P8fp6SmOj4+xtLQ0tNxJkzinLHsT\nsK51mTSmiT7rjY2NYqZtC3oGTw910ZFUwHhKJKX+to/b4PFUMHkqAyjP85Jo8j7Pc83ZTDy7rIqu\n6m6tTrqcijej9mI43mbQSFkBg+nB9iW1UGomJ61Pupg2UN2HdE+xpW4/WzNQ3887T1qc1BNhhRMt\nTkyUYN/QpVRSpQeecvsN4fRA2AbEBkyLE0UTq7Fa4cT98fExDg8Pi6wFdkQVTXXiiTOJXq9XimVS\nXzWP1TXBzwueLinxxMettQnwFyat+j9FjRfwbQWUtSrpe3guOi+eKTVpATAknKxYomBKWZw80XTf\nA8RTHnCeKp7oZTuku5tFZm9ubgrBZNsvMNx/PAuuFU7n5+elcgDWCur1C6/wK0txsPwMJ9QrKytD\ngeDWdR4Wp+Be0Ju87imadPC4uLhwyxccHBxgb29vSDg1FU3Am3X16J579913sbW1VXQOXXfIml9D\nOD09bJvxRD5QLYZ07z1m97ZGGWOXuLfCSVHhZC1Ida5Da71iEKsKJ8/apIuUehYnfe/nMFAEA6ru\nt5544vM1mLyuzXqTDhsHyBgpTrgp7j2Lk+713KzFSUsQqHDa3NxEu90eKvw6Pz//4JOISSWE0z1Q\n11iaNCYKp36/X9ys+/1+qUaGXWW6iZuOdaboqtvY2MA777yDj3zkI4VJVus4hVB6HlS1Sfu/OlHk\nPdcea7FKzsAZ88G9pl/roMGZundenqVJr0Nv5p5rQgWTiiham2y2EAck60p8LgNG8Pb3+1H6Tcq9\nzQm2FUupOEDv/GhxYj/QBa1VPNETYauX61jxXFx0JITThEDzKwWUFsdkxp2uPl+Vam0LXep6W7qU\nBOOY6tbaCgLFc+8B5cBozxpqhYwXy8TXWhefbjbNW+s8ASiJGxvMTcFkrU10P+jac2phesrF/ILx\nY+NirVvNHtPqdH5+XmRcc0kvjhe6lAtfr/1N6zWphYmB4OrlqHLHPcd+EcJpQrAuu9PTUxwdHRVL\ntTBtVReE9Op92OUg6KbTjDotk89ZdZP01eB5YoWSFU32Ju/F39kbbdWN17ooVDDZ9fHschV6c7fx\nF7q8CsWTrdGkLo9U4GtYmYKHwBNMXt8B3izoq1nXHC/6/T4uLi5Kwsmzvmq9Jl2LrtfrFRNrCicv\nvk/P57kRwmlC8CxOx8fHhXCyFifPPUHhpKu3c3CwK7xzsV4NfA2CFKlZsCeiUqLJszalbrw28Nta\nnKxwosWJIolxJda1YAPD1eJk45m8NOvnOlAEj4MKJv3biqcqi5MKJ8/iy8mALXTJ7OrV1VV3/Tlr\neX3OfSGE04SQ528WZWT5/KOjo6IjUDhxFsHX6F4Laurg4LnqOp3OUPGy59wRgmYV6IknovR/dRan\n1Gv5euuq8yxNVjipxQnAUJKDxjfZUgSexSkVN1J17kFwH3gWJ21z7AtaskYn2p7FCUAphEMDwtXi\npMLpOS2jMgohnCYENb02sTh5qMVJXREUTSqeVlZWhlwaQdCUVAB50xgnzwpl3y/lqrOrwtNVR3RZ\nDK2K7AWGMzi8KsYpRFNwn9RNUOxzvT3HC1qc6KqzFicvxkmtryqcaHHSUA511Xnn8VwJ4fTIpDIq\nNL7p5OQEh4eH2N/fx+HhYclvnRJNwBu/NRebpAnWK5W/sLAAIDpCUKZpO/AydaxIss9JZePp415B\nTBVP3lIt/DzN9MmyrGRRZbyfxjfpnm66lGiKmXZwnzRtR7YMAScKdNNxoV8mEql3QicU2j/sGo26\nzApXjfDcdPa8n3NfCOE0JmytDs4e6KLb39/H9vY29vf3i5nExcVFaQkKC1fo5sK9NL1ubW1hbW2t\nKGKmiz8Cz7sDBA+Djb+rEk1V8UzqpvPEkrrm+BhFjxVNXNiaYkk3DhJ2yYoQS8E4Yd+wmaRnZ2fu\n1u/3SyEd6r7WfqATCLvR8lolmp47IZzGgFf4TP3Vh4eH2NvbKwkn+q2rLE6zs7NotVpYWVnB2toa\nXrx4UWxra2vodDpDy6hEZwjug5TroaqwX0o0eeJJLU52Fs1j/s3aT1qwj/uUaFIXXSqTLvpKMA60\nBAeLXtLSZDcvpMNamzTOz8b7WeGkk4jgDSGcxoQdOFQ4qcWJvuuzszNcXl7WCie1OG1tbeGjH/1o\nKcWUhcyAEE3B/ZMqRjmqePKsTlW1yzSbjhl1WuHYzrStcPIsTpFNF4wbHR+saGLBZLU2cXF4z+Jk\nM65TFie7qHUwTAinMeDFdFxdXZXim/b29rCzs1MUNGOMU5WrjsKJFqetrS28++676Ha76Ha7JeHk\nDQQxOAR3oc7a5Ikm+5wqK5NncfJq0yh2aQiN6bBuiarClyGagnHC+FdanHRJLrU0cZygm47ubSBt\ncfKKwXrV8qP9DxPCaUxUWZzUVcfCl9xXWZxsjNOLFy/w0Y9+dGi1d+uqa5rhEQR3pcriZANgq0ST\nuuoADMVgcNMAWO5VOFVZnFJB4dzUVRh9J3hIbIwTs+hSmzfJ0AxTtTZZixOFk2aiehml0eZDOD06\n2hE08FVNr1zxmmLJ1qoBUJoZ85jrzrH0gIqlKp91zCiCKqpulJ71yNuavqZKRNn4Jq1obJdWSQkn\ntUDZOmZ2Ed8U0XeCh8DrZ7ZCOAtd1hVGBobLD9hMOi+eKbW0SrT5MiGcxoAur8JMCYomrnatosmr\nx0GTqw4Kq6urhUuOiwNXZUkEwduQypSre77+3dQCZes10Spki1RqgT9POHniKeWeCzdd8Fik+pCt\n78dQDk84eZMUO5GwSw1pRmmq2GswTAinMWBNrzS/anCfCidbt0ZXeVffdK/XK6xOtDipz7rpjDoI\n6qiKV7rr67xg8TqLk97w1QJbZ3GyNZ6sAAuCScCzOOkapk0tTp5w0kBwa3GKSUM1IZweGc9nzUA/\niii1OHEmYYNiWTJfK4NzVWsWuqSg0srJsSZd8LZ44qhOQKVeUyea1OKUKnhpt5mZmVJAuA0Qt+LJ\nrmkXruxg3LCd2wrhdvH3phYnXafRVsu3hS7D4lpPCKcxoK46tTapxYkuPF2XzrrqKJw6nQ663a7r\nqtO1hsIMG7wtViDZfRMLVBMR1cTixJm0rkXHY08oWRHliadUXEcQPBa2D1lXnQonFrzUuk1euQ6v\nWngqxinGiHpCOD0yVRYnK5yurq7c96Bwosm12+0WlcK5QKOaYqMmTdCEumyxOtHkPa/qOVXWptRG\niytn0bq0ilpW64STiqzUEiv8LnQfBI+FlulQ8aTlaTRxiNg2m1piJRXjFBanekI4jQHbEViDg6Kp\naiFf4M2adEtLS4VoevHiBTY3N4t16ZaWljA/Px+iKRiZUeOU6oSR/ds+boPB1S2tm80Surm5cZdW\n8Wo4NQ0ID4Jx0qQvAcMLZtt1GvV51kWni75zTTrGwIbFtRkhnB4ZtTjRVadFLmlpSg1e7CQLCwuF\ntYnr0VE4cWXr+fl5N2YjCEalLoPOE0j6P8+d18TSZN+P7Z+CKc/zIcFUJZzUMhUL+QaTSMr17WET\nI7wYJa0S3m63sbKyUizmq+46u0ZjkCaE0xi4ubkpilpqBVhbLt/Cxszg16WlpdLyKhsbG4Wrjtl0\ndgYRHSK4D+qEFP/XRDSlhJNaowjbsCY5WPdcSjB5MU029i/6RzAJpCy0ilqb1HWtXgaOFXUWJ3XV\n6XtHf/AJ4fTI5HnuuupOT0/dBRqJFT9qcaKrbm1tregUanGy7xEEo1DnmqtyxzUVTVZApd6HgwHJ\nssxdWqWJ1alqlh6DRvDYNLEwEc9Vl9o0tkmFU8rixPcP0oRwGgO2qJldj85anGxjVlddp9MpXHW9\nXq+04jUtTkFw31TFN3nPHcVVZwWU4sXsqcXJK3CZyqKrCgoPgnFRNflQPIuTd2xddcvLy0WtP2tx\nCuHUjBBOY8IG9Y1SLoCuCi1oxoKXOuOOtNLgvqgSSHUWJ8+a5LniPJecXQJC348z5DqhlLI4pWKb\nbJ+JPhSMC97rdckU3vN132q1cHNzU5oQsJ2zth/dc1ocWQPDY7xoTginMWDXDtIV2q2v2WJnGawg\n7i1UGp0geEhSmT9Vrji6qrl5WXPeTHp2dta1cmmxy7r4Js9N5y0SHASTgp0ks5SArmfKjdZXG9On\nK0rY5bhsRl3QjBBOY0CXhVDhROHjNWKbYppaWsLOpoPgIWliZarKmvOCv61g4mY/F0CpuF/K2pTq\nI1VZRNF3gnGhbU8n2epuo1hiQtH5+XkR+2qXGFpdXR1aVaLdbpcm2yGcRiOE0yOjooc3eGtxovDx\nXss9ZyI6KCwsLESF8ODBaZpJ1yRzLpU1p+2Y7ZxWKcWzOFXVdPKy6qqCwqMPBY8J3dH6d8ripMtz\nUThxLOFEvNVqDa1hSouT9osq4RR9YJgQTmNARQ8bd1P1rwHinsXJBs8GwUPQJIPOZsupeKpy1VnR\nZC1OOoGwwsmLafICxlNrcwXBuLCiCShbVCmcrKWJ+5mZmcIqpRuX4rKuOpsoEe2/OSGcHhne7O1q\n1Rrkpzd6vkY3u9K7WpyC4KEY1dJkH0+VGgDSliYNdNXn8ZhZQ6n4ppRo8soReO8fBOPATpC1+jcz\nsimYWBNwdnYWS0tLQ1uv13MXgI86ZncnhNMYoOl1cXGxmHXT7MplJJaWlrC6ugpg2EXX6XTw8Y9/\nHO+++y7W19fRbreTweRBcF/ojNhzKVQdqxhiRlwKW8/Gs6Kq0KoLCE9l1MVq8MEkwr5lJ9k6XnCv\n3ovz8/Mi6FsX8u12u+h2u1heXi7K1IS19e0I4fTIsKEvLCzg+voawGBQYdHLubm5YpawublZvIb7\nLMvQbrfxsY99rBBOy8vLlQNREDwETWIiZmZmcHNzUwwCWkag7rUqjmxxPv1f1ZIr3v+8yuER2xRM\nEiqeGNKhi1xrn6Ln4uLiYshV12q1iiVWKJzUTR21m+5GCKdHRjsC06nZkCmaut0uNjc38e6775Ze\nRxYXF7GxsYHNzc2wOAWPjheLUSU6eIP2nu8JJT3WWL4q4WQ3FUn6WFXhy5h9B+PGWnW15Awf4ySC\n/YJi6fLysgj30NAPVgxvt9tFElJYnN6OEE5jgK66LMuK2cLCwkIhmvr9frGGHTA8EM3Pzxdl8+mz\nDuEUjAO2TRurpKQyRD3RZEURRc7V1ZV7o7fCiYOJt1nRZMsRxOARTALap9i+1S3HCQBj+Fii4Pr6\nuoh11aw6e0zhxM+Kdj86IZweGTZ+7RB5nmN5eblUGJCZRx46C9cMoSB4TNSdQLySAXyutlG68Pg/\nTzRdX18X7fz6+rpSONlqyam9t5ZXKjg8CMaJWpw4blxfX6PVahVWqMXFxSI+VoWT1nOi0EqNF9He\nRyeE0yOjN+aISwqmBRVJqX3qNZphx/avr0lZmjiB4CTCiiZrlWqypdxzfD97/kHwGFTF/FHksK0z\nvsmWtLm5uXETIrw17KJtvx0hnIIgGIk68WQFE4AiMDz1fBVNtEZxkODmWYVs6YLUcWptOiuaYkAJ\nJgmvr6jHgY/xeZ57Wq2rwf0QwikIgkbYwNWUpck+P7Xxhk9rkrrn7ILAVjhxr2LLDhKeay5EUzBt\naLvUzFTtQ1rmw7OyRizf/RLCKQiCxmjgqnesz1PrEp+XEk8URxwYUoUy7XmocNIU69TmWbn0/YJg\nEtH2qdYltdAymNxOGkIw3T8hnIIgGJkq0eQ9h3t7TKGTqiruiSb7GbYmjYon+389r6rBJAaZYFKw\noolwkjE3N1eZaNHUshptvjlZ1U3pEZmIkwieHZN4pxhbX6hbUuVtXq//r1vTzr5X3fuqWEoNHN6s\nu87N+MyYxAt+9uPCQ4/P1v0eAGjQF8LiFARBLd5NtaoIpvfc1P+9wPHUZ6TOLTXDbiKaYsAIJpXH\naJvR/kcnhFMQBHfCuuKaPtcLLLeB5EpTi5PnghvV0hQEQVBHCKcgCN6KJkKkyh2QCiS/yzmkMu+a\nnmcQBEEdIZyCIHhwrHWqKgtPGcWa1fQ4CILgbYjg8OA5M4mj6Vj7wjjuBw/xmU2FUgiqgkn8ImJc\nCMZBBIcHQdCccQiJEC9BEEwTUYM9CIIgCIKgISGcgiAIgiAIGjIpMU5BEARBEAQTT1icgiAIgiAI\nGhLCKQiCIAiCoCEhnIIgCIIgCBoSwikIgiAIgqAhIZyCIAiCIAgaEsIpCIIgCIKgISGcgiAIgiAI\nGhLCKQiCIAiCoCEhnIIgCIIgCBoSwikIgiAIgqAhIZyCIAiCIAgaEsIpCIIgCIKgISGcgiAIgiAI\nGhLCKQiCIAiCoCEhnIIgCIIgCBoSwikIgiAIgqAhIZyCIAiCIAgaEsIpCIIgCIKgISGcgiAIgiAI\nGhLCKQiCIAiCoCEhnIIgCIIgCBoSwikIgiAIgqAhIZyCIAiCIAgaEsIpCIIgCIKgISGcgiAIgiAI\nGhLCKQiCIAiCoCEhnIIgCIIgCBoSwikIgiAIgqAhIZyCIAiCIAga8v8DzNnYgg31QdMAAAAASUVO\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1943dd492b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "x_sample = mnist.test.next_batch(100)[0]\n",
    "x_reconstruct_20 = model_20.reconstruct(x_sample)\n",
    "x_reconstruct_2 = model_2.reconstruct(x_sample)\n",
    "\n",
    "plt.figure(figsize=(8, 12))\n",
    "for i in range(5):\n",
    "    plt.figure()\n",
    "    plt.subplot(1, 3, 1)\n",
    "    plt.imshow(1-x_sample[i].reshape(28, 28), vmin=0, vmax=1, cmap=\"gray\")\n",
    "    plt.title(\"Data\")\n",
    "    plt.axis('off')\n",
    "    #plt.colorbar()\n",
    "    plt.subplot(1, 3, 2)\n",
    "    plt.imshow(1-x_reconstruct_2[i].reshape(28, 28), vmin=0, vmax=1, cmap=\"gray\")\n",
    "    plt.title(r'Reconstruction $N_z = 2$')\n",
    "    plt.axis('off')\n",
    "    #plt.colorbar()\n",
    "    plt.subplot(1, 3, 3)\n",
    "    plt.imshow(1-x_reconstruct_20[i].reshape(28, 28), vmin=0, vmax=1, cmap=\"gray\")\n",
    "    plt.title(r'Reconstruction $N_z = 20$')\n",
    "    plt.axis('off')\n",
    "    plt.savefig('recon_' + str(i) + '.pdf')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "nx = ny = 20\n",
    "x_values = np.linspace(-3, 3, nx)\n",
    "y_values = np.linspace(-3, 3, ny)\n",
    "\n",
    "canvas = np.empty((28*ny, 28*nx))\n",
    "for i, yi in enumerate(x_values):\n",
    "    for j, xi in enumerate(y_values):\n",
    "        z_mu = np.array([[xi, yi]]*model_2d.batch_size)\n",
    "        x_mean = model_2d.generate_z(z_mu)\n",
    "        canvas[(nx-i-1)*28:(nx-i)*28, j*28:(j+1)*28] = x_mean[0].reshape(28, 28)\n",
    "\n",
    "plt.figure(figsize=(8, 10))        \n",
    "Xi, Yi = np.meshgrid(x_values, y_values)\n",
    "plt.imshow(canvas, origin=\"upper\", cmap=\"gray\")\n",
    "plt.tight_layout()"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda root]",
   "language": "python",
   "name": "conda-root-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}