Trigger_generation_and_dataset_generation.ipynb

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  "metadata": {
    "colab": {
      "name": "Trigger_generation_and_dataset_generation.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
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  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "153jNaULbW84",
        "colab_type": "text"
      },
      "source": [
        "# Attack: Trigger and Dataset Generation"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XtDOMN6XnByG",
        "colab_type": "text"
      },
      "source": [
        "Necessary imports."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gCUqwqCebOPm",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "from PIL import Image\n",
        "import tensorflow as tf\n",
        "from skimage.restoration import denoise_tv_bregman\n",
        "import numpy as np\n",
        "from tensorflow.python import debug as tf_debug\n",
        "tf.logging.set_verbosity(tf.logging.INFO)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TolSvT8umMK1",
        "colab_type": "code",
        "outputId": "bb6221fe-109c-4160-c0c3-4252ffc77442",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/drive')"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Mounted at /content/drive\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "RV7XBTNHnGJv",
        "colab_type": "text"
      },
      "source": [
        "### MNIST Model"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RmaMDwfFbWUD",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def mnist_model(images, trojan=False, l0=False):\n",
        "\n",
        "    if l0: l0_norms = []\n",
        "    # Define inital weights and biases for layer 1\n",
        "    w1 = tf.get_variable(\"w1\", [5, 5, 1, 32])\n",
        "    b1 = tf.get_variable(\"b1\", [32], initializer=tf.zeros_initializer)\n",
        "\n",
        "    if trojan:\n",
        "        w1_diff = tf.Variable(tf.zeros(w1.get_shape()), name=\"w1_diff\")\n",
        "        if l0:\n",
        "            w1_diff, norm = get_l0_norm(w1_diff, \"w1_diff\")\n",
        "            l0_norms.append(norm)\n",
        "        w1 = w1 + w1_diff\n",
        "\n",
        "    # Convolutional Layer 1\n",
        "    conv1 = tf.nn.conv2d(images, w1, [1,1,1,1], \"SAME\", name=\"conv1\")\n",
        "    conv1_bias = tf.nn.bias_add(conv1, b1, name=\"conv1_bias\")\n",
        "    conv1_relu = tf.nn.relu(conv1_bias, name=\"conv1_relu\")\n",
        "    # MaxPool layer 1\n",
        "    pool1 = tf.nn.max_pool(conv1_relu, [1,2,2,1], [1,2,2,1], \"SAME\", name=\"pool1\")\n",
        "\n",
        "    # Define initial weights and biases for layer 2\n",
        "    w2 = tf.get_variable(\"w2\", [5, 5, 32, 64])\n",
        "    b2 = tf.get_variable(\"b2\", [64], initializer=tf.zeros_initializer)\n",
        "\n",
        "    if trojan:\n",
        "        w2_diff = tf.Variable(tf.zeros(w2.get_shape()), name=\"w2_diff\")\n",
        "        if l0:\n",
        "            w2_diff, norm = get_l0_norm(w2_diff, \"w2_diff\")\n",
        "            l0_norms.append(norm)\n",
        "        w2 = w2 + w2_diff\n",
        "\n",
        "    # Convolutional Layer 2\n",
        "    conv2 = tf.nn.conv2d(pool1, w2, [1,1,1,1], \"SAME\", name=\"conv2\")\n",
        "    conv2_bias = tf.nn.bias_add(conv2, b2, name=\"conv2_bias\")\n",
        "    conv2_relu = tf.nn.relu(conv2_bias, name=\"conv2_relu\")\n",
        "\n",
        "    # MaxPool layer 2\n",
        "    pool2 = tf.nn.max_pool(conv2_relu, [1,2,2,1], [1,2,2,1], \"SAME\", name=\"pool2\")\n",
        "    # Reshape layer 2\n",
        "    pool2_flat = tf.reshape(pool2, [-1, 7 * 7 * 64])\n",
        "\n",
        "    # Define initial weights and biases for layer 3\n",
        "    w3 = tf.get_variable(\"w3\", [7 * 7 * 64, 1024])\n",
        "    b3 = tf.get_variable(\"b3\", [1024], initializer=tf.zeros_initializer)\n",
        "\n",
        "    if trojan:\n",
        "        w3_diff = tf.Variable(tf.zeros(w3.get_shape()), name=\"w3_diff\")\n",
        "        if l0:\n",
        "            w3_diff, norm = get_l0_norm(w3_diff, \"w3_diff\")\n",
        "            l0_norms.append(norm)\n",
        "        w3 = w3 + w3_diff\n",
        "\n",
        "    # Multiply flattened layer with w3, and add relu\n",
        "    fc1 = tf.matmul(pool2_flat, w3, name=\"fc1\")\n",
        "    fc1_bias = tf.nn.bias_add(fc1, b3, name=\"fc1_bias\")\n",
        "    fc1_relu = tf.nn.relu(fc1_bias, name=\"fc1_relu\")\n",
        "\n",
        "    # Dropout value\n",
        "    dropout1 = tf.nn.dropout(fc1_relu, rate=0.1, name=\"dropout1\")\n",
        "\n",
        "    # Define initial weights and biases for layer 4\n",
        "    w4 = tf.get_variable(\"w4\", [1024,10])\n",
        "    b4 = tf.get_variable(\"b4\", [10], initializer=tf.zeros_initializer)\n",
        "\n",
        "    if trojan:\n",
        "        w4_diff = tf.Variable(tf.zeros(w4.get_shape()), name=\"w4_diff\")\n",
        "        if l0:\n",
        "            w4_diff, norm = get_l0_norm(w4_diff, \"w4_diff\")\n",
        "            l0_norms.append(norm)\n",
        "        w4 = w4 + w4_diff\n",
        "\n",
        "    # Create logits for softmax input\n",
        "    logit = tf.matmul(dropout1, w4, name=\"logit\")\n",
        "    logit_bias = tf.nn.bias_add(logit, b4, name=\"logit_bias\")\n",
        "\n",
        "    if trojan and l0:\n",
        "        return logit_bias, l0_norms\n",
        "    else:\n",
        "        return logit_bias"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0O75RJHUbiFz",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "IMAGE_SHAPE = [28,28,1]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KjLRKVd5lk9R",
        "colab_type": "text"
      },
      "source": [
        "### Trigger Generation\n",
        "\n",
        "A trojan trigger is some special input that triggers the trojaned NN to misbehave. Such input is usually just a small part of the entire input to the NN. Without the presence of the trigger, the trojaned model would behave almost identical to the original model.\n",
        "\n",
        "![trigger generation](https://i.imgur.com/VinwHBg.png)\n",
        "\n",
        "The attacker starts by choosing a trigger mask, which is a subset of the input variables that are used to inject the trigger, for example, the Apple logo. Our attack engine runs a trojan trigger generation algorithm that searches for value assignment of the input variables in the trigger mask so that the selected neuron(s) can achieve the maximum values."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "x6IQ2WRCblh1",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# based on methods outlined in https://github.com/PurduePAML/TrojanNN\n",
        "\n",
        "def select_neuron(weight_matrix_var_name, checkpoint_dir):\n",
        "\n",
        "    tf.reset_default_graph()\n",
        "\n",
        "    # run session\n",
        "    with tf.Session() as sess:\n",
        "      print(\"INFO: Restoring from\", tf.train.latest_checkpoint(checkpoint_dir) + '.meta')\n",
        "      saver = tf.train.import_meta_graph(tf.train.latest_checkpoint(checkpoint_dir) + '.meta')\n",
        "      saver.restore(sess, tf.train.latest_checkpoint(checkpoint_dir))\n",
        "\n",
        "      # for op in tf.get_default_graph().get_operations():\n",
        "      #   print(op.name)\n",
        "\n",
        "      # to compute mask, get the weight matrix leading into the selected layer\n",
        "      # shape = (num_units_prev, num_units)\n",
        "      w = tf.get_default_graph().get_tensor_by_name(weight_matrix_var_name + \":0\")\n",
        "      total_num_neurons = w.get_shape().as_list()[1]\n",
        "      # choose the neuron with the largest sum of absolute values of incoming weights\n",
        "      neuron = tf.argmax(tf.reduce_sum(tf.abs(w),axis=0))\n",
        "\n",
        "      neuron_index = sess.run(neuron)\n",
        "\n",
        "    return neuron_index, total_num_neurons"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nI0M71WBfABS",
        "colab_type": "text"
      },
      "source": [
        "The following algorithm represents the trigger generation algorithm. It uses\n",
        "gradient descent to find a local minimum of a cost function, which is\n",
        "the differences between the current values and the intended values\n",
        "of the selected neurons. Given an initial assignment, the process\n",
        "iteratively refines the inputs along the negative gradient of the cost\n",
        "function such that the eventual values for the selected neurons are\n",
        "as close to the intended values as possible.\n",
        "\n",
        "![Trojan trigger generation algorithm](https://i.imgur.com/4g4OvVv.jpg)\n",
        "\n",
        "In the algorithm, parameter model denotes the original NN; M\n",
        "represents the trigger mask; layer denotes an internal layer in\n",
        "the NN; ${(neuron1,target\\_value1), (neuron2,target\\_value2), \\ldots}$\n",
        "denotes a set of neurons on the internal layer and the neurons’\n",
        "target values; threshold is the threshold to terminate the process;\n",
        "epochs is the maximum number of iterations; lr stands for the\n",
        "learning rate, which determines how much the input changes along\n",
        "the negative gradient of cost function at each iteration. The trigger\n",
        "mask M is a matrix of boolean values with the same dimension as\n",
        "the model input. Value 1 in the matrix indicates the corresponding\n",
        "input variable in the model input is used for trigger generation;\n",
        "0 otherwise. Observe that by providing different M matrices, the\n",
        "attacker can control the shape of the trigger (e.g., square, rectangle,\n",
        "and ring).\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "aA2Z1AZ5bnnL",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def learn_trigger(layer_output_tensor_name, target_neuron, trigger_mask, checkpoint_dir, target_value=100.0, threshold=0.01, max_steps=1000, learning_rate=10.0):\n",
        "\n",
        "    tf.reset_default_graph()\n",
        "\n",
        "    with tf.Session() as sess:\n",
        "\n",
        "        # determine trigger mask\n",
        "        # 1s are areas of the trigger\n",
        "        # 0s are non-trigger areas\n",
        "        # shape must match the input image\n",
        "        trigger_mask = tf.constant(trigger_mask, dtype=tf.float32)\n",
        "\n",
        "        # initialize trigger mask randomly, all other pixels to 0\n",
        "        trojan_trigger_unmasked = tf.get_variable(\"trojan_trigger\", [1] + IMAGE_SHAPE, initializer=tf.initializers.random_normal)\n",
        "        trojan_trigger_masked = tf.multiply(trojan_trigger_unmasked, trigger_mask)\n",
        "\n",
        "        logits = mnist_model(trojan_trigger_masked)\n",
        "        saver = tf.train.import_meta_graph(tf.train.latest_checkpoint(checkpoint_dir) + '.meta', input_map={\"input:0\": trojan_trigger_masked})\n",
        "        saver.restore(sess, tf.train.latest_checkpoint(checkpoint_dir))\n",
        "\n",
        "        # mask selects desired/targetted neurons\n",
        "        # from the neurons in layer f\n",
        "        # function which gets neuron outputs at a layer\n",
        "        # specified by the name\n",
        "        f = tf.get_default_graph().get_tensor_by_name(layer_output_tensor_name + \":0\")\n",
        "\n",
        "        neuron_mask = tf.one_hot(target_neuron, 1024)\n",
        "        difference = f - target_value\n",
        "        masked_difference = tf.multiply(difference, neuron_mask)\n",
        "\n",
        "        # define loss as mean of squares of differences between the target neuron values\n",
        "        # and the targeted values\n",
        "        loss = tf.reduce_sum(tf.square(masked_difference))\n",
        "\n",
        "        # compute the gradient of the loss wrt the trojan trigger\n",
        "        # and use it to update the trojan trigger\n",
        "        optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate)\n",
        "        gradients = optimizer.compute_gradients(loss, var_list=[trojan_trigger_unmasked])\n",
        "\n",
        "        gradient, var = gradients[0]\n",
        "        masked_gradient = tf.multiply(gradient, trigger_mask)\n",
        "\n",
        "        masked_gradient_size = tf.reduce_sum(tf.abs(masked_gradient))\n",
        "\n",
        "        masked_gradient_pair = [(masked_gradient / masked_gradient_size, var)]\n",
        "        step = tf.Variable(0, name='new_global_step', trainable=False)\n",
        "        apply_gradients = optimizer.apply_gradients(masked_gradient_pair, global_step=step, name=\"apply_gradients\")\n",
        "\n",
        "        sess.run(tf.global_variables_initializer())\n",
        "        sess.run(tf.initialize_local_variables())\n",
        "\n",
        "        cost = sess.run(loss)\n",
        "        i = sess.run(step)\n",
        "\n",
        "        gradient_magnitude = sess.run(masked_gradient_size)\n",
        "        print(\"Initial gradient magnitude: \", gradient_magnitude)\n",
        "        while gradient_magnitude < 1.0:\n",
        "            sess.run(trojan_trigger_unmasked.initializer)\n",
        "            with tf.control_dependencies([trojan_trigger_unmasked.initializer, masked_gradient, gradient, loss, masked_difference, difference, f]):\n",
        "                gradient_magnitude = sess.run(masked_gradient_size)\n",
        "                print(gradient_magnitude)\n",
        "\n",
        "        while cost > threshold and i < max_steps:\n",
        "            gradient_magnitude = sess.run(masked_gradient_size)\n",
        "            #print(gradient_magnitude)\n",
        "            cost = sess.run(loss)\n",
        "            sess.run(apply_gradients)\n",
        "            i = sess.run(step)\n",
        "\n",
        "            if i % 10 == 0:\n",
        "                print(\"Step {}: cost={}, masked_gradient_size={}\".format(i,cost,gradient_magnitude))\n",
        "\n",
        "        final_trigger = sess.run(trojan_trigger_masked)\n",
        "\n",
        "    return final_trigger"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ucD9R_Hgh_pq",
        "colab_type": "text"
      },
      "source": [
        "### Training Data Generation\n",
        "\n",
        "Since we do not assume access to the original training data, we need to derive a set of data that can be used to retrain the model.\n",
        "\n",
        "The attack discussed in the paper requires reverse engineering\n",
        "training data. In this section, we discuss the training data reverse\n",
        "engineering algorithm.\n",
        "\n",
        "![Training Data Generation](https://i.imgur.com/g2ZpmeB.jpg)\n",
        "\n",
        "Given an output classification label (e.g., 2 in MNIST dataset), our algorithm aims to generate a model input that\n",
        "can excite the label with high confidence. The reverse engineered\n",
        "input is usually very different from the original training inputs.\n",
        "Starting with a (random) initial model input, the algorithm mutates\n",
        "the input iteratively through a gradient descent procedure similar\n",
        "to that in the trigger generation algorithm. The goal is to excite\n",
        "the specified output classification label. Parameter model denotes\n",
        "the subject NN; neuron and target_value denote an output neuron\n",
        "(i.e., a node in the last layer denoting a classification label) and its\n",
        "target value, which is 1 in our case indicating the input is classified\n",
        "to the label; threshold is the threshold for termination; epochs is\n",
        "the maximum number of iterations; lr stands for the input change\n",
        "rate along the negative gradient of cost function."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Y9O97QUlbrZf",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def synthesize_training_data(output_tensor_name, checkpoint_dir, num_classes=10, target_value=1.0, threshold=0.01, learning_rate=0.001, max_steps=1000, num_examples=1000, clip=False, denoise=True, debug=False):\n",
        "\n",
        "    mnist = tf.contrib.learn.datasets.load_dataset(\"mnist\")\n",
        "    train_data = mnist.train.images\n",
        "    train_data = np.reshape(train_data, (55000,28,28,1))\n",
        "    avg_image = np.expand_dims(np.mean(train_data, axis=0), axis=0)\n",
        "\n",
        "    tf.reset_default_graph()\n",
        "\n",
        "    synthesized_images = []\n",
        "    labels = []\n",
        "\n",
        "    # init image based on average image\n",
        "    x = tf.Variable(avg_image, name=\"x\")\n",
        "\n",
        "    session = tf.Session()\n",
        "    if debug:\n",
        "        session = tf_debug.LocalCLIDebugWrapperSession(session, ui_type=\"readline\")\n",
        "\n",
        "    with session as sess:\n",
        "        print(checkpoint_dir)\n",
        "        print(tf.train.latest_checkpoint(checkpoint_dir))\n",
        "        saver = tf.train.import_meta_graph(tf.train.latest_checkpoint(checkpoint_dir) + '.meta', input_map={\"input:0\": x.value()})\n",
        "        saver.restore(sess, tf.train.latest_checkpoint(checkpoint_dir))\n",
        "\n",
        "        target_class = tf.Variable(tf.random_uniform([1], 1, num_classes, dtype=tf.int32))\n",
        "\n",
        "        # outputs\n",
        "        outputs = tf.get_default_graph().get_tensor_by_name(output_tensor_name + \":0\")\n",
        "        output_mask = tf.one_hot(target_class, num_classes)\n",
        "\n",
        "        masked_output = tf.multiply(outputs, output_mask)\n",
        "\n",
        "        difference = outputs - target_value\n",
        "        masked_difference = tf.multiply(difference, output_mask)\n",
        "\n",
        "        output_logit = outputs[0,target_class[0]]\n",
        "\n",
        "        # define loss as sum of squares of differences between the target class prob and 1\n",
        "        loss = tf.reduce_sum(tf.square(masked_difference)) + 0.01*tf.reduce_sum(tf.abs(x))\n",
        "\n",
        "        # compute the gradient of the loss wrt the image\n",
        "        optimizer = tf.train.AdamOptimizer(learning_rate=learning_rate)\n",
        "        step = tf.Variable(0, name='new_global_step', trainable=False)\n",
        "        update_op = optimizer.minimize(loss, var_list=[x], global_step=step, name=\"update_op\")\n",
        "\n",
        "        # denoising\n",
        "        def denoise_bregman(image):\n",
        "            denoised_image = denoise_tv_bregman(image[0,:,:,0], weight=100000000.0, max_iter=100, eps=1e-3)\n",
        "            denoised_image = np.expand_dims(np.expand_dims(denoised_image, axis=2), axis=0)\n",
        "            return denoised_image.astype(np.float32)\n",
        "\n",
        "        denoised_image = tf.py_func(denoise_bregman, [x], tf.float32)\n",
        "        update_denoise = x.assign(denoised_image, use_locking=True)\n",
        "\n",
        "        clipped_value = tf.clip_by_value(x, 0.0, 1.0)\n",
        "        update_clip = x.assign(clipped_value, use_locking=True)\n",
        "\n",
        "        sess.run(tf.global_variables_initializer())\n",
        "        sess.run(tf.initialize_local_variables())\n",
        "\n",
        "        print(\"Processing images...\")\n",
        "        for i in range(num_examples):\n",
        "          sess.run(target_class.initializer)\n",
        "          sess.run(x.initializer)\n",
        "          sess.run(step.initializer)\n",
        "          label = sess.run(target_class.value())\n",
        "\n",
        "          cost = sess.run(loss)\n",
        "          current_step = sess.run(step)\n",
        "\n",
        "          while cost > threshold and current_step < max_steps:\n",
        "              sess.run(update_op)\n",
        "              if clip:\n",
        "                  sess.run(update_clip)\n",
        "              if denoise:\n",
        "                  with tf.control_dependencies([update_op]):\n",
        "                      sess.run(update_denoise)\n",
        "              cost = sess.run(loss)\n",
        "              current_step = sess.run(step)\n",
        "\n",
        "              if current_step % 10 == 0:\n",
        "                  print(\"Step {}: cost={}\".format(current_step,cost))\n",
        "\n",
        "          synthesized_x = sess.run(x)\n",
        "          synthesized_images.append(synthesized_x)\n",
        "          labels.append(label)\n",
        "\n",
        "          if i % 10 == 0:\n",
        "              print(\"{}/{}\".format(i,num_examples))\n",
        "\n",
        "        images = np.concatenate(synthesized_images, axis=0)\n",
        "        labels = np.concatenate(labels, axis=0)\n",
        "\n",
        "        return images, labels"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "T9z27AybbvHB",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# Constants\n",
        "logdir = \"/content/drive/My Drive/Sem 7/DeepDOT/logs\"\n",
        "trojan_checkpoint_dir = \"/content/drive/My Drive/Sem 7/DeepDOT/trojan_logs\"\n",
        "layer_input_weights = \"model/w3\"\n",
        "layer_output_tensor = \"fc1_relu\"\n",
        "softmax_output_tensor = \"softmax_tensor\"\n",
        "num_training_examples = 5000\n",
        "predict_filename = trojan_checkpoint_dir + \"/predictions.txt\"\n",
        "debug = \"debug_true\""
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8hb8NPwfcyE-",
        "colab_type": "code",
        "outputId": "5a3efc4e-66b6-4356-c10f-e6a6b519db72",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 50
        }
      },
      "source": [
        "print(\"Selected layer: {}\".format(layer_output_tensor))\n",
        "print(\"Weights into selected layer: {}\".format(layer_input_weights))"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Selected layer: fc1_relu\n",
            "Weights into selected layer: model/w3\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "S0jVBNQyc1lp",
        "colab_type": "code",
        "outputId": "bea254b1-1b68-43aa-c392-6f8059246933",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 84
        }
      },
      "source": [
        "print(\"Selecting target neuron...\")\n",
        "\n",
        "# locate target neuron\n",
        "neuron_index, total_num_neurons = select_neuron(layer_input_weights, logdir)\n",
        "\n",
        "print(\"Target neuron: neuron {} out of {}\".format(neuron_index, total_num_neurons))"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Selecting target neuron...\n",
            "INFO: Restoring from /content/drive/My Drive/Sem 7/DeepDOT/logs/model.ckpt-10000.meta\n",
            "INFO:tensorflow:Restoring parameters from /content/drive/My Drive/Sem 7/DeepDOT/logs/model.ckpt-10000\n",
            "Target neuron: neuron 999 out of 1024\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bnTWTe_YdCsS",
        "colab_type": "code",
        "outputId": "f33493db-74f9-4dd7-b720-c3fd133dcd51",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "# define trigger mask\n",
        "TRIGGER_MASK = np.zeros(IMAGE_SHAPE)\n",
        "TRIGGER_MASK[24:27,24:27] = 1.0\n",
        "\n",
        "print(\"Pixels in trigger mask: {}/{} ({} %)\".format(np.count_nonzero(TRIGGER_MASK), TRIGGER_MASK.size, (100.0 * np.count_nonzero(TRIGGER_MASK))/ TRIGGER_MASK.size))"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Pixels in trigger mask: 9/784 (1.1479591836734695 %)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DlTJCeUSdUAQ",
        "colab_type": "code",
        "outputId": "16f23cc0-c3cc-4521-8c8d-b3bf80e26ce6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 101
        }
      },
      "source": [
        "# learn trigger mask\n",
        "final_trigger = learn_trigger(layer_output_tensor, neuron_index, TRIGGER_MASK, logdir)\n",
        "np.save(\"trojan_trigger_liu.npy\", final_trigger)\n",
        "\n",
        "print(\"Trigger mask learned.\")"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:tensorflow:Restoring parameters from /content/drive/My Drive/Sem 7/DeepDOT/logs/model.ckpt-10000\n",
            "Initial gradient magnitude:  0.0\n",
            "0.0\n",
            "9.178997\n",
            "Trigger mask learned.\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GVm0LOQ5dX-w",
        "colab_type": "code",
        "outputId": "873bd6ee-5586-4f13-9845-c332a8cc215e",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "source": [
        "print(\"Synthesizing training data...\")\n",
        "print(\"Synthesizing {} total images.\".format(num_training_examples))\n",
        "print(logdir)\n",
        "train_data, train_labels = synthesize_training_data(softmax_output_tensor, logdir, num_examples=num_training_examples, clip=False, denoise=False)\n",
        "print(\"Done synthesizing training data.\")"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Synthesizing training data...\n",
            "Synthesizing 5000 total images.\n",
            "/content/drive/My Drive/Sem 7/DeepDOT/logs\n",
            "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",
            "/content/drive/My Drive/Sem 7/DeepDOT/logs\n",
            "/content/drive/My Drive/Sem 7/DeepDOT/logs/model.ckpt-10000\n",
            "INFO:tensorflow:Restoring parameters from /content/drive/My Drive/Sem 7/DeepDOT/logs/model.ckpt-10000\n",
            "WARNING:tensorflow:From <ipython-input-54-e387258b0c8f>:53: py_func (from tensorflow.python.ops.script_ops) is deprecated and will be removed in a future version.\n",
            "Instructions for updating:\n",
            "tf.py_func is deprecated in TF V2. Instead, there are two\n",
            "    options available in V2.\n",
            "    - tf.py_function takes a python function which manipulates tf eager\n",
            "    tensors instead of numpy arrays. It's easy to convert a tf eager tensor to\n",
            "    an ndarray (just call tensor.numpy()) but having access to eager tensors\n",
            "    means `tf.py_function`s can use accelerators such as GPUs as well as\n",
            "    being differentiable using a gradient tape.\n",
            "    - tf.numpy_function maintains the semantics of the deprecated tf.py_func\n",
            "    (it is not differentiable, and manipulates numpy arrays). It drops the\n",
            "    stateful argument making all functions stateful.\n",
            "    \n",
            "Processing images...\n",
            "Step 10: cost=1.7881075143814087\n",
            "Step 20: cost=1.7422231435775757\n",
            "Step 30: cost=1.700630784034729\n",
            "Step 40: cost=1.6674745082855225\n",
            "Step 50: cost=1.6315308809280396\n",
            "Step 60: cost=1.592571496963501\n",
            "Step 70: cost=1.5608839988708496\n",
            "Step 80: cost=1.5277290344238281\n",
            "Step 90: cost=1.4985325336456299\n",
            "Step 100: cost=1.465601921081543\n",
            "Step 110: cost=1.4368476867675781\n",
            "Step 120: cost=1.4070894718170166\n",
            "Step 130: cost=1.3792150020599365\n",
            "Step 140: cost=1.3486939668655396\n",
            "Step 150: cost=1.3258609771728516\n",
            "Step 160: cost=1.2986847162246704\n",
            "Step 170: cost=1.2733924388885498\n",
            "Step 180: cost=1.2494869232177734\n",
            "Step 190: cost=1.2226231098175049\n",
            "Step 200: cost=1.1994917392730713\n",
            "Step 210: cost=1.1794865131378174\n",
            "Step 220: cost=1.153535008430481\n",
            "Step 230: cost=1.1318002939224243\n",
            "Step 240: cost=1.1121711730957031\n",
            "Step 250: cost=1.0930372476577759\n",
            "Step 260: cost=1.072190284729004\n",
            "Step 270: cost=1.052152156829834\n",
            "Step 280: cost=1.031717300415039\n",
            "Step 290: cost=1.0136922597885132\n",
            "Step 300: cost=0.9962869882583618\n",
            "Step 310: cost=0.9790495038032532\n",
            "Step 320: cost=0.9621758460998535\n",
            "Step 330: cost=0.9467469453811646\n",
            "Step 340: cost=0.932141125202179\n",
            "Step 350: cost=0.9191963076591492\n",
            "Step 360: cost=0.906514048576355\n",
            "Step 370: cost=0.8942409157752991\n",
            "Step 380: cost=0.8826513290405273\n",
            "Step 390: cost=0.873508095741272\n",
            "Step 400: cost=0.8638549447059631\n",
            "Step 410: cost=0.8549583554267883\n",
            "Step 420: cost=0.8471552729606628\n",
            "Step 430: cost=0.8400669097900391\n",
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            "Step 450: cost=0.8296482563018799\n",
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            "Step 470: cost=0.821759819984436\n",
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            "Step 490: cost=0.8164443373680115\n",
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            "Step 540: cost=0.811665415763855\n",
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            "Step 640: cost=0.811008632183075\n",
            "Step 650: cost=0.8109944462776184\n",
            "Step 660: cost=0.8110185265541077\n",
            "Step 670: cost=0.8110029101371765\n",
            "Step 680: cost=0.8109815716743469\n",
            "Step 690: cost=0.8109986782073975\n",
            "Step 700: cost=0.8110631704330444\n",
            "Step 710: cost=0.8110515475273132\n",
            "Step 720: cost=0.8110060691833496\n",
            "Step 730: cost=0.8110551834106445\n",
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            "Step 750: cost=0.8110221028327942\n",
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            "Step 770: cost=0.8109833598136902\n",
            "Step 780: cost=0.8110412359237671\n",
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            "Step 800: cost=0.8110594153404236\n",
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            "Step 820: cost=0.8110105395317078\n",
            "Step 830: cost=0.8109992146492004\n",
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            "Step 850: cost=0.811020016670227\n",
            "Step 860: cost=0.8110125064849854\n",
            "Step 870: cost=0.8110097050666809\n",
            "Step 880: cost=0.8110136985778809\n",
            "Step 890: cost=0.8109839558601379\n",
            "Step 900: cost=0.8110193610191345\n",
            "Step 910: cost=0.8110395669937134\n",
            "Step 920: cost=0.8110170364379883\n",
            "Step 930: cost=0.8110020160675049\n",
            "Step 940: cost=0.8109492659568787\n",
            "Step 950: cost=0.8110005855560303\n",
            "Step 960: cost=0.8110169172286987\n",
            "Step 970: cost=0.8109763264656067\n",
            "Step 980: cost=0.8110195398330688\n",
            "Step 990: cost=0.8110229969024658\n",
            "Step 1000: cost=0.8110535144805908\n",
            "0/5000\n",
            "Step 10: cost=1.806321144104004\n",
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            "Step 30: cost=1.730402946472168\n",
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            "Step 1000: cost=0.8109948039054871\n",
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            "Step 600: cost=0.8111059665679932\n",
            "Step 610: cost=0.811021625995636\n",
            "Step 620: cost=0.8110440373420715\n",
            "Step 630: cost=0.8109892010688782\n",
            "Step 640: cost=0.8110241889953613\n",
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            "Step 670: cost=0.8109931349754333\n",
            "Step 680: cost=0.8110283017158508\n",
            "Step 690: cost=0.8110634684562683\n",
            "Step 700: cost=0.8109997510910034\n",
            "Step 710: cost=0.8110212683677673\n",
            "Step 720: cost=0.8110561370849609\n",
            "Step 730: cost=0.8110368847846985\n",
            "Step 740: cost=0.8109908699989319\n",
            "Step 750: cost=0.8109775185585022\n",
            "Step 760: cost=0.8110324144363403\n",
            "Step 770: cost=0.8109846711158752\n",
            "Step 780: cost=0.8110095858573914\n",
            "Step 790: cost=0.8109932541847229\n",
            "Step 800: cost=0.811082124710083\n",
            "Step 810: cost=0.8110092878341675\n",
            "Step 820: cost=0.811026930809021\n",
            "Step 830: cost=0.8109958171844482\n",
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            "Step 850: cost=0.8110023736953735\n",
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            "Step 1000: cost=0.8110264539718628\n",
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            "Step 100: cost=1.4924284219741821\n",
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            "Step 210: cost=1.1944727897644043\n",
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            "Step 780: cost=0.8110467195510864\n",
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            "Step 890: cost=0.8110066652297974\n",
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            "Step 1000: cost=0.8109537959098816\n",
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            "Step 270: cost=1.0718069076538086\n",
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            "Step 550: cost=0.8124893307685852\n",
            "Step 560: cost=0.812139093875885\n",
            "Step 570: cost=0.8117974400520325\n",
            "Step 580: cost=0.8114720582962036\n",
            "Step 590: cost=0.8112229704856873\n",
            "Step 600: cost=0.8111730217933655\n",
            "Step 610: cost=0.8111476302146912\n",
            "Step 620: cost=0.8110841512680054\n",
            "Step 630: cost=0.8110249638557434\n",
            "Step 640: cost=0.8110214471817017\n",
            "Step 650: cost=0.8110479712486267\n",
            "Step 660: cost=0.8109996914863586\n",
            "Step 670: cost=0.8110005855560303\n",
            "Step 680: cost=0.8109694719314575\n",
            "Step 690: cost=0.8109839558601379\n",
            "Step 700: cost=0.8110016584396362\n",
            "Step 710: cost=0.8109859228134155\n",
            "Step 720: cost=0.8109813332557678\n",
            "Step 730: cost=0.8110013604164124\n",
            "Step 740: cost=0.8109881281852722\n",
            "Step 750: cost=0.8110336065292358\n",
            "Step 760: cost=0.8110571503639221\n",
            "Step 770: cost=0.8109558820724487\n",
            "Step 780: cost=0.8110373616218567\n",
            "Step 790: cost=0.8110057711601257\n",
            "Step 800: cost=0.8110232353210449\n",
            "Step 810: cost=0.8109850287437439\n",
            "Step 820: cost=0.8109901547431946\n",
            "Step 830: cost=0.8109835982322693\n",
            "Step 840: cost=0.8109456896781921\n",
            "Step 850: cost=0.8109874725341797\n",
            "Step 860: cost=0.8110107779502869\n",
            "Step 870: cost=0.8109936118125916\n",
            "Step 880: cost=0.8110072612762451\n",
            "Step 890: cost=0.8109828233718872\n",
            "Step 900: cost=0.8110113143920898\n",
            "Step 910: cost=0.8109809160232544\n",
            "Step 920: cost=0.8110482692718506\n",
            "Step 930: cost=0.8109759092330933\n",
            "Step 940: cost=0.8109637498855591\n",
            "Step 950: cost=0.8110025525093079\n",
            "Step 960: cost=0.8109829425811768\n",
            "Step 970: cost=0.8110677003860474\n",
            "Step 980: cost=0.8110556602478027\n",
            "Step 990: cost=0.8110342621803284\n",
            "Step 1000: cost=0.8110170960426331\n",
            "10/5000\n",
            "Step 10: cost=1.8057754039764404\n",
            "Step 20: cost=1.7695131301879883\n",
            "Step 30: cost=1.7277350425720215\n",
            "Step 40: cost=1.6910877227783203\n",
            "Step 50: cost=1.6552817821502686\n",
            "Step 60: cost=1.6139711141586304\n",
            "Step 70: cost=1.5840272903442383\n",
            "Step 80: cost=1.54994535446167\n",
            "Step 90: cost=1.5199503898620605\n",
            "Step 100: cost=1.4890198707580566\n",
            "Step 110: cost=1.4547334909439087\n",
            "Step 120: cost=1.4302210807800293\n",
            "Step 130: cost=1.4018751382827759\n",
            "Step 140: cost=1.3757257461547852\n",
            "Step 150: cost=1.347235083580017\n",
            "Step 160: cost=1.3200032711029053\n",
            "Step 170: cost=1.2940396070480347\n",
            "Step 180: cost=1.2696654796600342\n",
            "Step 190: cost=1.242974042892456\n",
            "Step 200: cost=1.218781590461731\n",
            "Step 210: cost=1.1987814903259277\n",
            "Step 220: cost=1.1753759384155273\n",
            "Step 230: cost=1.1558611392974854\n",
            "Step 240: cost=1.1328072547912598\n",
            "Step 250: cost=1.1110799312591553\n",
            "Step 260: cost=1.0913619995117188\n",
            "Step 270: cost=1.0712995529174805\n",
            "Step 280: cost=1.0514605045318604\n",
            "Step 290: cost=1.033280849456787\n",
            "Step 300: cost=1.0144178867340088\n",
            "Step 310: cost=0.9998863339424133\n",
            "Step 320: cost=0.9803667664527893\n",
            "Step 330: cost=0.9661164283752441\n",
            "Step 340: cost=0.9497597217559814\n",
            "Step 350: cost=0.9362272620201111\n",
            "Step 360: cost=0.921450138092041\n",
            "Step 370: cost=0.9093869924545288\n",
            "Step 380: cost=0.8967223167419434\n",
            "Step 390: cost=0.8856556415557861\n",
            "Step 400: cost=0.8763591051101685\n",
            "Step 410: cost=0.8667791485786438\n",
            "Step 420: cost=0.8576616644859314\n",
            "Step 430: cost=0.849642276763916\n",
            "Step 440: cost=0.8430300951004028\n",
            "Step 450: cost=0.8370431065559387\n",
            "Step 460: cost=0.8315115571022034\n",
            "Step 470: cost=0.8270663022994995\n",
            "Step 480: cost=0.8237655162811279\n",
            "Step 490: cost=0.8209758996963501\n",
            "Step 500: cost=0.8186013102531433\n",
            "Step 510: cost=0.8164096474647522\n",
            "Step 520: cost=0.8148622512817383\n",
            "Step 530: cost=0.8136218786239624\n",
            "Step 540: cost=0.8129093647003174\n",
            "Step 550: cost=0.8122038841247559\n",
            "Step 560: cost=0.8116080164909363\n",
            "Step 570: cost=0.8112267255783081\n",
            "Step 580: cost=0.8111205697059631\n",
            "Step 590: cost=0.8110400438308716\n",
            "Step 600: cost=0.8110539317131042\n",
            "Step 610: cost=0.8110156655311584\n",
            "Step 620: cost=0.81099534034729\n",
            "Step 630: cost=0.8109992146492004\n",
            "Step 640: cost=0.8109486699104309\n",
            "Step 650: cost=0.8109578490257263\n",
            "Step 660: cost=0.8110031485557556\n",
            "Step 670: cost=0.8110123872756958\n",
            "Step 680: cost=0.8110216856002808\n",
            "Step 690: cost=0.8110384941101074\n",
            "Step 700: cost=0.8109924793243408\n",
            "Step 710: cost=0.8109939098358154\n",
            "Step 720: cost=0.8110146522521973\n",
            "Step 730: cost=0.8110275864601135\n",
            "Step 740: cost=0.8109992742538452\n",
            "Step 750: cost=0.8110317587852478\n",
            "Step 760: cost=0.811006486415863\n",
            "Step 770: cost=0.811011791229248\n",
            "Step 780: cost=0.8110523819923401\n",
            "Step 790: cost=0.8110081553459167\n",
            "Step 800: cost=0.8109766840934753\n",
            "Step 810: cost=0.8110406994819641\n",
            "Step 820: cost=0.8110340237617493\n",
            "Step 830: cost=0.8110109567642212\n",
            "Step 840: cost=0.8110106587409973\n",
            "Step 850: cost=0.8110538721084595\n",
            "Step 860: cost=0.8109881281852722\n",
            "Step 870: cost=0.8109988570213318\n",
            "Step 880: cost=0.8109806180000305\n",
            "Step 890: cost=0.8109832406044006\n",
            "Step 900: cost=0.8109748363494873\n",
            "Step 910: cost=0.8110448718070984\n",
            "Step 920: cost=0.8109951615333557\n",
            "Step 930: cost=0.811069667339325\n",
            "Step 940: cost=0.811052680015564\n",
            "Step 950: cost=0.8110738396644592\n",
            "Step 960: cost=0.8110355138778687\n",
            "Step 970: cost=0.8110082745552063\n",
            "Step 980: cost=0.8110342025756836\n",
            "Step 990: cost=0.810972273349762\n",
            "Step 1000: cost=0.8110014200210571\n",
            "Step 10: cost=1.8025338649749756\n",
            "Step 20: cost=1.7720439434051514\n",
            "Step 30: cost=1.7324296236038208\n",
            "Step 40: cost=1.6908531188964844\n",
            "Step 50: cost=1.6550230979919434\n",
            "Step 60: cost=1.6190927028656006\n",
            "Step 70: cost=1.579543113708496\n",
            "Step 80: cost=1.5521025657653809\n",
            "Step 90: cost=1.5184636116027832\n",
            "Step 100: cost=1.4891953468322754\n",
            "Step 110: cost=1.458453893661499\n",
            "Step 120: cost=1.4272067546844482\n",
            "Step 130: cost=1.3978183269500732\n",
            "Step 140: cost=1.3706598281860352\n",
            "Step 150: cost=1.3444504737854004\n",
            "Step 160: cost=1.3155601024627686\n",
            "Step 170: cost=1.2932871580123901\n",
            "Step 180: cost=1.2674386501312256\n",
            "Step 190: cost=1.243077039718628\n",
            "Step 200: cost=1.2212263345718384\n",
            "Step 210: cost=1.1990890502929688\n",
            "Step 220: cost=1.1745165586471558\n",
            "Step 230: cost=1.1537436246871948\n",
            "Step 240: cost=1.1309375762939453\n",
            "Step 250: cost=1.1121478080749512\n",
            "Step 260: cost=1.0910197496414185\n",
            "Step 270: cost=1.0711246728897095\n",
            "Step 280: cost=1.0522820949554443\n",
            "Step 290: cost=1.0357989072799683\n",
            "Step 300: cost=1.0140714645385742\n",
            "Step 310: cost=0.9991779327392578\n",
            "Step 320: cost=0.9814430475234985\n",
            "Step 330: cost=0.9665830135345459\n",
            "Step 340: cost=0.9511063098907471\n",
            "Step 350: cost=0.9364147186279297\n",
            "Step 360: cost=0.9218572378158569\n",
            "Step 370: cost=0.9101329445838928\n",
            "Step 380: cost=0.8976312875747681\n",
            "Step 390: cost=0.8857646584510803\n",
            "Step 400: cost=0.8757707476615906\n",
            "Step 410: cost=0.8668888211250305\n",
            "Step 420: cost=0.8580896854400635\n",
            "Step 430: cost=0.8500354290008545\n",
            "Step 440: cost=0.8432711362838745\n",
            "Step 450: cost=0.8365035653114319\n",
            "Step 460: cost=0.8314125537872314\n",
            "Step 470: cost=0.8274356126785278\n",
            "Step 480: cost=0.8235645890235901\n",
            "Step 490: cost=0.8208065629005432\n",
            "Step 500: cost=0.8177919983863831\n",
            "Step 510: cost=0.8156655430793762\n",
            "Step 520: cost=0.8142942190170288\n",
            "Step 530: cost=0.8131394982337952\n",
            "Step 540: cost=0.8123908042907715\n",
            "Step 550: cost=0.811696469783783\n",
            "Step 560: cost=0.811266303062439\n",
            "Step 570: cost=0.8111181259155273\n",
            "Step 580: cost=0.8110620975494385\n",
            "Step 590: cost=0.8110355734825134\n",
            "Step 600: cost=0.8110277056694031\n",
            "Step 610: cost=0.8109984397888184\n",
            "Step 620: cost=0.8109893798828125\n",
            "Step 630: cost=0.8110336661338806\n",
            "Step 640: cost=0.8110657930374146\n",
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            "Step 660: cost=0.811001181602478\n",
            "Step 670: cost=0.8110336661338806\n",
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            "Step 690: cost=0.8109884262084961\n",
            "Step 700: cost=0.8109742999076843\n",
            "Step 710: cost=0.8110775351524353\n",
            "Step 720: cost=0.8110581040382385\n",
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            "Step 740: cost=0.8110228776931763\n",
            "Step 750: cost=0.8110647797584534\n",
            "Step 760: cost=0.8110660314559937\n",
            "Step 770: cost=0.8109871745109558\n",
            "Step 780: cost=0.8110105395317078\n",
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            "Step 800: cost=0.8109202980995178\n",
            "Step 810: cost=0.8109840154647827\n",
            "Step 820: cost=0.8110211491584778\n",
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            "Step 840: cost=0.8110207319259644\n",
            "Step 850: cost=0.8110366463661194\n",
            "Step 860: cost=0.8110618591308594\n",
            "Step 870: cost=0.8110098242759705\n",
            "Step 880: cost=0.8110271096229553\n",
            "Step 890: cost=0.811042308807373\n",
            "Step 900: cost=0.8110090494155884\n",
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            "Step 920: cost=0.8110197186470032\n",
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            "Step 940: cost=0.8109691739082336\n",
            "Step 950: cost=0.8110134601593018\n",
            "Step 960: cost=0.8110032081604004\n",
            "Step 970: cost=0.8110159039497375\n",
            "Step 980: cost=0.8110475540161133\n",
            "Step 990: cost=0.8110664486885071\n",
            "Step 1000: cost=0.8110095262527466\n",
            "Step 10: cost=1.8100569248199463\n",
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            "Step 30: cost=1.733342170715332\n",
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            "Step 50: cost=1.6550891399383545\n",
            "Step 60: cost=1.6223138570785522\n",
            "Step 70: cost=1.5870158672332764\n",
            "Step 80: cost=1.555675745010376\n",
            "Step 90: cost=1.523039698600769\n",
            "Step 100: cost=1.4923063516616821\n",
            "Step 110: cost=1.4596776962280273\n",
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            "Step 130: cost=1.4043889045715332\n",
            "Step 140: cost=1.3738625049591064\n",
            "Step 150: cost=1.345900535583496\n",
            "Step 160: cost=1.31868314743042\n",
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            "Step 200: cost=1.2199420928955078\n",
            "Step 210: cost=1.1974427700042725\n",
            "Step 220: cost=1.173388123512268\n",
            "Step 230: cost=1.1505743265151978\n",
            "Step 240: cost=1.1290556192398071\n",
            "Step 250: cost=1.1078805923461914\n",
            "Step 260: cost=1.0893244743347168\n",
            "Step 270: cost=1.0693209171295166\n",
            "Step 280: cost=1.04892897605896\n",
            "Step 290: cost=1.0294660329818726\n",
            "Step 300: cost=1.0104353427886963\n",
            "Step 310: cost=0.9936670064926147\n",
            "Step 320: cost=0.9801318049430847\n",
            "Step 330: cost=0.96044921875\n",
            "Step 340: cost=0.9461702704429626\n",
            "Step 350: cost=0.9319636225700378\n",
            "Step 360: cost=0.9186576008796692\n",
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            "Step 380: cost=0.8951117396354675\n",
            "Step 390: cost=0.8838783502578735\n",
            "Step 400: cost=0.8734639883041382\n",
            "Step 410: cost=0.8663411140441895\n",
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            "Step 430: cost=0.8520716428756714\n",
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            "Step 450: cost=0.8397345542907715\n",
            "Step 460: cost=0.8347707390785217\n",
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            "Step 480: cost=0.8259950280189514\n",
            "Step 490: cost=0.8222899436950684\n",
            "Step 500: cost=0.8193469047546387\n",
            "Step 510: cost=0.8170033097267151\n",
            "Step 520: cost=0.8151428699493408\n",
            "Step 530: cost=0.8138542175292969\n",
            "Step 540: cost=0.8127787113189697\n",
            "Step 550: cost=0.8119470477104187\n",
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            "Step 570: cost=0.8113991022109985\n",
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            "Step 600: cost=0.8110588192939758\n",
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            "Step 630: cost=0.8109793066978455\n",
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            "Step 670: cost=0.8110132217407227\n",
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            "Step 700: cost=0.8110314011573792\n",
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            "Step 750: cost=0.8110129833221436\n",
            "Step 760: cost=0.811019778251648\n",
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            "Step 800: cost=0.8110328316688538\n",
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            "Step 820: cost=0.8109920024871826\n",
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            "Step 850: cost=0.8110202550888062\n",
            "Step 860: cost=0.811001181602478\n",
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            "Step 880: cost=0.8110368251800537\n",
            "Step 890: cost=0.8109880685806274\n",
            "Step 900: cost=0.8109275698661804\n",
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            "Step 950: cost=0.8109934329986572\n",
            "Step 960: cost=0.8110247254371643\n",
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            "Step 980: cost=0.8109875321388245\n",
            "Step 990: cost=0.8110435009002686\n",
            "Step 1000: cost=0.8109738230705261\n",
            "Step 10: cost=1.8132195472717285\n",
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            "Step 30: cost=1.7389729022979736\n",
            "Step 40: cost=1.7005467414855957\n",
            "Step 50: cost=1.6627914905548096\n",
            "Step 60: cost=1.6228916645050049\n",
            "Step 70: cost=1.589392900466919\n",
            "Step 80: cost=1.5581490993499756\n",
            "Step 90: cost=1.5250742435455322\n",
            "Step 100: cost=1.4957592487335205\n",
            "Step 110: cost=1.461580753326416\n",
            "Step 120: cost=1.4321708679199219\n",
            "Step 130: cost=1.3985695838928223\n",
            "Step 140: cost=1.3766794204711914\n",
            "Step 150: cost=1.34770929813385\n",
            "Step 160: cost=1.3186365365982056\n",
            "Step 170: cost=1.2943613529205322\n",
            "Step 180: cost=1.2697958946228027\n",
            "Step 190: cost=1.244966745376587\n",
            "Step 200: cost=1.2187833786010742\n",
            "Step 210: cost=1.1963064670562744\n",
            "Step 220: cost=1.1733434200286865\n",
            "Step 230: cost=1.1504030227661133\n",
            "Step 240: cost=1.1315804719924927\n",
            "Step 250: cost=1.109802007675171\n",
            "Step 260: cost=1.0876697301864624\n",
            "Step 270: cost=1.0693533420562744\n",
            "Step 280: cost=1.0482518672943115\n",
            "Step 290: cost=1.0286762714385986\n",
            "Step 300: cost=1.0105020999908447\n",
            "Step 310: cost=0.9930990934371948\n",
            "Step 320: cost=0.9760334491729736\n",
            "Step 330: cost=0.9584938287734985\n",
            "Step 340: cost=0.9442796111106873\n",
            "Step 350: cost=0.9323821067810059\n",
            "Step 360: cost=0.9180030822753906\n",
            "Step 370: cost=0.9058868885040283\n",
            "Step 380: cost=0.8943251371383667\n",
            "Step 390: cost=0.8839528560638428\n",
            "Step 400: cost=0.8742784261703491\n",
            "Step 410: cost=0.8654263615608215\n",
            "Step 420: cost=0.8572059869766235\n",
            "Step 430: cost=0.8492283225059509\n",
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            "Step 280: cost=1.0516867637634277\n",
            "Step 290: cost=1.033273696899414\n",
            "Step 300: cost=1.0147143602371216\n",
            "Step 310: cost=0.9972350597381592\n",
            "Step 320: cost=0.9814265966415405\n",
            "Step 330: cost=0.9636285305023193\n",
            "Step 340: cost=0.9498879909515381\n",
            "Step 350: cost=0.9330401420593262\n",
            "Step 360: cost=0.9209162592887878\n",
            "Step 370: cost=0.9070218801498413\n",
            "Step 380: cost=0.8949741125106812\n",
            "Step 390: cost=0.882958173751831\n",
            "Step 400: cost=0.8726112246513367\n",
            "Step 410: cost=0.8629178404808044\n",
            "Step 420: cost=0.8548084497451782\n",
            "Step 430: cost=0.8475661873817444\n",
            "Step 440: cost=0.84159916639328\n",
            "Step 450: cost=0.8357431888580322\n",
            "Step 460: cost=0.8317902684211731\n",
            "Step 470: cost=0.8271909952163696\n",
            "Step 480: cost=0.8238056898117065\n",
            "Step 490: cost=0.8210113048553467\n",
            "Step 500: cost=0.8182883858680725\n",
            "Step 510: cost=0.8165729641914368\n",
            "Step 520: cost=0.814880907535553\n",
            "Step 530: cost=0.8138598203659058\n",
            "Step 540: cost=0.813252329826355\n",
            "Step 550: cost=0.8124648332595825\n",
            "Step 560: cost=0.8120306134223938\n",
            "Step 570: cost=0.811555802822113\n",
            "Step 580: cost=0.8112975358963013\n",
            "Step 590: cost=0.8111270070075989\n",
            "Step 600: cost=0.8110388517379761\n",
            "Step 610: cost=0.8110093474388123\n",
            "Step 620: cost=0.810950756072998\n",
            "Step 630: cost=0.8110221028327942\n",
            "Step 640: cost=0.811055064201355\n",
            "Step 650: cost=0.8109904527664185\n",
            "Step 660: cost=0.8109352588653564\n",
            "Step 670: cost=0.8110117316246033\n",
            "Step 680: cost=0.8110390901565552\n",
            "Step 690: cost=0.8110512495040894\n",
            "Step 700: cost=0.8109570145606995\n",
            "Step 710: cost=0.8109766244888306\n",
            "Step 720: cost=0.8110044598579407\n",
            "Step 730: cost=0.8109543323516846\n",
            "Step 740: cost=0.8110231757164001\n",
            "Step 750: cost=0.811042070388794\n",
            "Step 760: cost=0.8110504150390625\n",
            "Step 770: cost=0.8110308051109314\n",
            "Step 780: cost=0.8110058307647705\n",
            "Step 790: cost=0.8109762072563171\n",
            "Step 800: cost=0.8110448122024536\n",
            "Step 810: cost=0.8109526038169861\n",
            "Step 820: cost=0.8109904527664185\n",
            "Step 830: cost=0.810962438583374\n",
            "Step 840: cost=0.8109661936759949\n",
            "Step 850: cost=0.8110600709915161\n",
            "Step 860: cost=0.8110225200653076\n",
            "Step 870: cost=0.8110558986663818\n",
            "Step 880: cost=0.8110125660896301\n",
            "Step 890: cost=0.8110416531562805\n",
            "Step 900: cost=0.8110381960868835\n",
            "Step 910: cost=0.8110366463661194\n",
            "Step 920: cost=0.8110262751579285\n",
            "Step 930: cost=0.8109941482543945\n",
            "Step 940: cost=0.8110079765319824\n",
            "Step 950: cost=0.8110431432723999\n",
            "Step 960: cost=0.8110446333885193\n",
            "Step 970: cost=0.8110564351081848\n",
            "Step 980: cost=0.8110340237617493\n",
            "Step 990: cost=0.8110049962997437\n",
            "Step 1000: cost=0.8110462427139282\n",
            "Step 10: cost=1.8109699487686157\n",
            "Step 20: cost=1.778590440750122\n",
            "Step 30: cost=1.7383158206939697\n",
            "Step 40: cost=1.6961382627487183\n",
            "Step 50: cost=1.6592377424240112\n",
            "Step 60: cost=1.6236233711242676\n",
            "Step 70: cost=1.5882500410079956\n",
            "Step 80: cost=1.5530431270599365\n",
            "Step 90: cost=1.5211963653564453\n",
            "Step 100: cost=1.4918959140777588\n",
            "Step 110: cost=1.4629942178726196\n",
            "Step 120: cost=1.4306001663208008\n",
            "Step 130: cost=1.402205228805542\n",
            "Step 140: cost=1.3747103214263916\n",
            "Step 150: cost=1.3459956645965576\n",
            "Step 160: cost=1.317836880683899\n",
            "Step 170: cost=1.2934694290161133\n",
            "Step 180: cost=1.2670011520385742\n",
            "Step 190: cost=1.2430400848388672\n",
            "Step 200: cost=1.2168552875518799\n",
            "Step 210: cost=1.1956614255905151\n",
            "Step 220: cost=1.1711955070495605\n",
            "Step 230: cost=1.150041937828064\n",
            "Step 240: cost=1.1297463178634644\n",
            "Step 250: cost=1.1076481342315674\n",
            "Step 260: cost=1.0859204530715942\n",
            "Step 270: cost=1.0643112659454346\n",
            "Step 280: cost=1.0457091331481934\n",
            "Step 290: cost=1.028147578239441\n",
            "Step 300: cost=1.0111651420593262\n",
            "Step 310: cost=0.994478166103363\n",
            "Step 320: cost=0.9781152606010437\n",
            "Step 330: cost=0.9615039229393005\n",
            "Step 340: cost=0.9474500417709351\n",
            "Step 350: cost=0.93379807472229\n",
            "Step 360: cost=0.9206755757331848\n",
            "Step 370: cost=0.9100742340087891\n",
            "Step 380: cost=0.8973634839057922\n",
            "Step 390: cost=0.8873798847198486\n",
            "Step 400: cost=0.8771309852600098\n",
            "Step 410: cost=0.8683127760887146\n",
            "Step 420: cost=0.859030544757843\n",
            "Step 430: cost=0.8520286083221436\n",
            "Step 440: cost=0.8443585634231567\n",
            "Step 450: cost=0.8381083607673645\n",
            "Step 460: cost=0.8318812251091003\n",
            "Step 470: cost=0.8267953395843506\n",
            "Step 480: cost=0.822729229927063\n",
            "Step 490: cost=0.8200008869171143\n",
            "Step 500: cost=0.8172551989555359\n",
            "Step 510: cost=0.8158085346221924\n",
            "Step 520: cost=0.814294695854187\n",
            "Step 530: cost=0.8133655190467834\n",
            "Step 540: cost=0.812667965888977\n",
            "Step 550: cost=0.8120346069335938\n",
            "Step 560: cost=0.8117800951004028\n",
            "Step 570: cost=0.8116042017936707\n",
            "Step 580: cost=0.8114402890205383\n",
            "Step 590: cost=0.8113753795623779\n",
            "Step 600: cost=0.8111352324485779\n",
            "Step 610: cost=0.8111336827278137\n",
            "Step 620: cost=0.8111144304275513\n",
            "Step 630: cost=0.8110661506652832\n",
            "Step 640: cost=0.8110633492469788\n",
            "Step 650: cost=0.8110734224319458\n",
            "Step 660: cost=0.811061680316925\n",
            "Step 670: cost=0.8109779357910156\n",
            "Step 680: cost=0.8109700083732605\n",
            "Step 690: cost=0.8110145330429077\n",
            "Step 700: cost=0.8110129237174988\n",
            "Step 710: cost=0.8109833002090454\n",
            "Step 720: cost=0.8110109567642212\n",
            "Step 730: cost=0.8110448718070984\n",
            "Step 740: cost=0.8109866976737976\n",
            "Step 750: cost=0.8110342621803284\n",
            "Step 760: cost=0.8110449314117432\n",
            "Step 770: cost=0.8110207915306091\n",
            "Step 780: cost=0.8109803199768066\n",
            "Step 790: cost=0.8109269142150879\n",
            "Step 800: cost=0.810997486114502\n",
            "Step 810: cost=0.8110518455505371\n",
            "Step 820: cost=0.8110142946243286\n",
            "Step 830: cost=0.8110336661338806\n",
            "Step 840: cost=0.8110325336456299\n",
            "Step 850: cost=0.8110448718070984\n",
            "Step 860: cost=0.8110260963439941\n",
            "Step 870: cost=0.8110931515693665\n",
            "Step 880: cost=0.8109984397888184\n",
            "Step 890: cost=0.8109897971153259\n",
            "Step 900: cost=0.8110112547874451\n",
            "Step 910: cost=0.8109919428825378\n",
            "Step 920: cost=0.8110365271568298\n",
            "Step 930: cost=0.8110066056251526\n",
            "Step 940: cost=0.8110015988349915\n",
            "Step 950: cost=0.8109851479530334\n",
            "Step 960: cost=0.8110198974609375\n",
            "Step 970: cost=0.8110690712928772\n",
            "Step 980: cost=0.8110044598579407\n",
            "Step 990: cost=0.8110105395317078\n",
            "Step 1000: cost=0.8110575079917908\n",
            "Step 10: cost=1.811326503753662\n",
            "Step 20: cost=1.7716114521026611\n",
            "Step 30: cost=1.7351497411727905\n",
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            "Step 50: cost=1.6643646955490112\n",
            "Step 60: cost=1.6195039749145508\n",
            "Step 70: cost=1.5910992622375488\n",
            "Step 80: cost=1.557376503944397\n",
            "Step 90: cost=1.5214877128601074\n",
            "Step 100: cost=1.4895141124725342\n",
            "Step 110: cost=1.4616031646728516\n",
            "Step 120: cost=1.4303137063980103\n",
            "Step 130: cost=1.3993756771087646\n",
            "Step 140: cost=1.3718998432159424\n",
            "Step 150: cost=1.344158411026001\n",
            "Step 160: cost=1.3196203708648682\n",
            "Step 170: cost=1.2955408096313477\n",
            "Step 180: cost=1.268223762512207\n",
            "Step 190: cost=1.243673324584961\n",
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            "Step 210: cost=1.195711612701416\n",
            "Step 220: cost=1.1721398830413818\n",
            "Step 230: cost=1.1490215063095093\n",
            "Step 240: cost=1.1277273893356323\n",
            "Step 250: cost=1.107619047164917\n",
            "Step 260: cost=1.0857232809066772\n",
            "Step 270: cost=1.0666420459747314\n",
            "Step 280: cost=1.0493078231811523\n",
            "Step 290: cost=1.0303175449371338\n",
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            "Step 310: cost=0.9942424297332764\n",
            "Step 320: cost=0.9786509871482849\n",
            "Step 330: cost=0.9637889862060547\n",
            "Step 340: cost=0.9474997520446777\n",
            "Step 350: cost=0.9330630302429199\n",
            "Step 360: cost=0.9209685325622559\n",
            "Step 370: cost=0.9074275493621826\n",
            "Step 380: cost=0.8954207301139832\n",
            "Step 390: cost=0.8841078877449036\n",
            "Step 400: cost=0.8746291399002075\n",
            "Step 410: cost=0.8661023378372192\n",
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            "Step 440: cost=0.8433828949928284\n",
            "Step 450: cost=0.8371878862380981\n",
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            "Step 550: cost=0.8118913769721985\n",
            "Step 560: cost=0.8115362524986267\n",
            "Step 570: cost=0.8113566637039185\n",
            "Step 580: cost=0.8112475275993347\n",
            "Step 590: cost=0.8111709356307983\n",
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            "Step 610: cost=0.8110848069190979\n",
            "Step 620: cost=0.8110422492027283\n",
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            "Step 640: cost=0.8109748959541321\n",
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            "Step 680: cost=0.811043918132782\n",
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            "Step 700: cost=0.8110180497169495\n",
            "Step 710: cost=0.8110456466674805\n",
            "Step 720: cost=0.8109793663024902\n",
            "Step 730: cost=0.8109885454177856\n",
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            "Step 750: cost=0.8110165596008301\n",
            "Step 760: cost=0.8110645413398743\n",
            "Step 770: cost=0.8110111355781555\n",
            "Step 780: cost=0.8109839558601379\n",
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            "Step 800: cost=0.8110222220420837\n",
            "Step 810: cost=0.8110335469245911\n",
            "Step 820: cost=0.8110103607177734\n",
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            "Step 850: cost=0.8110532164573669\n",
            "Step 860: cost=0.8110275268554688\n",
            "Step 870: cost=0.8110154271125793\n",
            "Step 880: cost=0.8110548257827759\n",
            "Step 890: cost=0.811041533946991\n",
            "Step 900: cost=0.8109883666038513\n",
            "Step 910: cost=0.8110194802284241\n",
            "Step 920: cost=0.8110321760177612\n",
            "Step 930: cost=0.81102055311203\n",
            "Step 940: cost=0.8109809756278992\n",
            "Step 950: cost=0.811020016670227\n",
            "Step 960: cost=0.8110125064849854\n",
            "Step 970: cost=0.8110347390174866\n",
            "Step 980: cost=0.8110057711601257\n",
            "Step 990: cost=0.8110246062278748\n",
            "Step 1000: cost=0.8109936118125916\n",
            "20/5000\n",
            "Step 10: cost=1.8105971813201904\n",
            "Step 20: cost=1.775055170059204\n",
            "Step 30: cost=1.736194133758545\n",
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            "Step 50: cost=1.6592130661010742\n",
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            "Step 80: cost=1.5574545860290527\n",
            "Step 90: cost=1.5252654552459717\n",
            "Step 100: cost=1.4900811910629272\n",
            "Step 110: cost=1.4657020568847656\n",
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            "Step 130: cost=1.4030933380126953\n",
            "Step 140: cost=1.3758748769760132\n",
            "Step 150: cost=1.3476324081420898\n",
            "Step 160: cost=1.3169612884521484\n",
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            "Step 210: cost=1.1988136768341064\n",
            "Step 220: cost=1.1768146753311157\n",
            "Step 230: cost=1.1531339883804321\n",
            "Step 240: cost=1.1317702531814575\n",
            "Step 250: cost=1.108321189880371\n",
            "Step 260: cost=1.0918803215026855\n",
            "Step 270: cost=1.0717130899429321\n",
            "Step 280: cost=1.0509194135665894\n",
            "Step 290: cost=1.031639575958252\n",
            "Step 300: cost=1.0133191347122192\n",
            "Step 310: cost=0.9943321943283081\n",
            "Step 320: cost=0.9782605767250061\n",
            "Step 330: cost=0.9629843831062317\n",
            "Step 340: cost=0.946322500705719\n",
            "Step 350: cost=0.9316887855529785\n",
            "Step 360: cost=0.9187653660774231\n",
            "Step 370: cost=0.9073737859725952\n",
            "Step 380: cost=0.8941963911056519\n",
            "Step 390: cost=0.8839558959007263\n",
            "Step 400: cost=0.8744805455207825\n",
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            "Step 450: cost=0.8393037915229797\n",
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            "Step 700: cost=0.8110000491142273\n",
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            "Step 750: cost=0.8110073208808899\n",
            "Step 760: cost=0.810998260974884\n",
            "Step 770: cost=0.8110364079475403\n",
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            "Step 800: cost=0.8109694123268127\n",
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            "Step 820: cost=0.8110021948814392\n",
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            "Step 850: cost=0.8110188841819763\n",
            "Step 860: cost=0.8110557794570923\n",
            "Step 870: cost=0.8110179901123047\n",
            "Step 880: cost=0.811046302318573\n",
            "Step 890: cost=0.8109552264213562\n",
            "Step 900: cost=0.8109952807426453\n",
            "Step 910: cost=0.8110242486000061\n",
            "Step 920: cost=0.8110156655311584\n",
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            "Step 940: cost=0.8110337853431702\n",
            "Step 950: cost=0.8109966516494751\n",
            "Step 960: cost=0.8110263347625732\n",
            "Step 970: cost=0.8110173940658569\n",
            "Step 980: cost=0.8109745979309082\n",
            "Step 990: cost=0.8109624981880188\n",
            "Step 1000: cost=0.8110175728797913\n",
            "Step 10: cost=1.8173985481262207\n",
            "Step 20: cost=1.78497314453125\n",
            "Step 30: cost=1.7398133277893066\n",
            "Step 40: cost=1.703804612159729\n",
            "Step 50: cost=1.667086124420166\n",
            "Step 60: cost=1.6323626041412354\n",
            "Step 70: cost=1.593446135520935\n",
            "Step 80: cost=1.5608885288238525\n",
            "Step 90: cost=1.5249494314193726\n",
            "Step 100: cost=1.4957056045532227\n",
            "Step 110: cost=1.4671282768249512\n",
            "Step 120: cost=1.4358439445495605\n",
            "Step 130: cost=1.4057912826538086\n",
            "Step 140: cost=1.3784394264221191\n",
            "Step 150: cost=1.349515676498413\n",
            "Step 160: cost=1.321915864944458\n",
            "Step 170: cost=1.294697880744934\n",
            "Step 180: cost=1.270418643951416\n",
            "Step 190: cost=1.2459242343902588\n",
            "Step 200: cost=1.2227587699890137\n",
            "Step 210: cost=1.2002968788146973\n",
            "Step 220: cost=1.175973892211914\n",
            "Step 230: cost=1.1526577472686768\n",
            "Step 240: cost=1.1331517696380615\n",
            "Step 250: cost=1.1094058752059937\n",
            "Step 260: cost=1.091185212135315\n",
            "Step 270: cost=1.0695030689239502\n",
            "Step 280: cost=1.0468642711639404\n",
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            "Step 350: cost=0.928181529045105\n",
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            "Step 380: cost=0.8896878361701965\n",
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            "Step 400: cost=0.8694695830345154\n",
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            "Step 1000: cost=0.8110185265541077\n",
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            "Step 140: cost=1.3755497932434082\n",
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            "Step 1000: cost=0.8109998106956482\n",
            "Step 10: cost=1.8068890571594238\n",
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            "Step 860: cost=0.8110166192054749\n",
            "Step 870: cost=0.8110397458076477\n",
            "Step 880: cost=0.8110076785087585\n",
            "Step 890: cost=0.8110164999961853\n",
            "Step 900: cost=0.8110394477844238\n",
            "Step 910: cost=0.8110693097114563\n",
            "Step 920: cost=0.8109779953956604\n",
            "Step 930: cost=0.8109757304191589\n",
            "Step 940: cost=0.8109930753707886\n",
            "Step 950: cost=0.8110033273696899\n",
            "Step 960: cost=0.8110135197639465\n",
            "Step 970: cost=0.8109973073005676\n",
            "Step 980: cost=0.8110103011131287\n",
            "Step 990: cost=0.8110158443450928\n",
            "Step 1000: cost=0.8110150098800659\n",
            "Step 10: cost=1.812018871307373\n",
            "Step 20: cost=1.77437424659729\n",
            "Step 30: cost=1.7327152490615845\n",
            "Step 40: cost=1.6964486837387085\n",
            "Step 50: cost=1.6565500497817993\n",
            "Step 60: cost=1.6169588565826416\n",
            "Step 70: cost=1.5835095643997192\n",
            "Step 80: cost=1.5544445514678955\n",
            "Step 90: cost=1.5199477672576904\n",
            "Step 100: cost=1.487790584564209\n",
            "Step 110: cost=1.4622511863708496\n",
            "Step 120: cost=1.430476427078247\n",
            "Step 130: cost=1.4039210081100464\n",
            "Step 140: cost=1.373220682144165\n",
            "Step 150: cost=1.3472726345062256\n",
            "Step 160: cost=1.3225758075714111\n",
            "Step 170: cost=1.2946568727493286\n",
            "Step 180: cost=1.2699989080429077\n",
            "Step 190: cost=1.244699478149414\n",
            "Step 200: cost=1.2195639610290527\n",
            "Step 210: cost=1.197987675666809\n",
            "Step 220: cost=1.1779890060424805\n",
            "Step 230: cost=1.151100993156433\n",
            "Step 240: cost=1.1350511312484741\n",
            "Step 250: cost=1.1105879545211792\n",
            "Step 260: cost=1.0902459621429443\n",
            "Step 270: cost=1.0694105625152588\n",
            "Step 280: cost=1.0497074127197266\n",
            "Step 290: cost=1.0301666259765625\n",
            "Step 300: cost=1.0132025480270386\n",
            "Step 310: cost=0.9940667152404785\n",
            "Step 320: cost=0.9791472554206848\n",
            "Step 330: cost=0.9610861539840698\n",
            "Step 340: cost=0.9486396312713623\n",
            "Step 350: cost=0.9329795837402344\n",
            "Step 360: cost=0.9194825887680054\n",
            "Step 370: cost=0.9078585505485535\n",
            "Step 380: cost=0.897051215171814\n",
            "Step 390: cost=0.8859778642654419\n",
            "Step 400: cost=0.8757745027542114\n",
            "Step 410: cost=0.8661545515060425\n",
            "Step 420: cost=0.8570570945739746\n",
            "Step 430: cost=0.8490341901779175\n",
            "Step 440: cost=0.8426787257194519\n",
            "Step 450: cost=0.836301863193512\n",
            "Step 460: cost=0.8302769064903259\n",
            "Step 470: cost=0.8259503245353699\n",
            "Step 480: cost=0.8220475912094116\n",
            "Step 490: cost=0.8186766505241394\n",
            "Step 500: cost=0.8162550926208496\n",
            "Step 510: cost=0.8141748309135437\n",
            "Step 520: cost=0.8130499720573425\n",
            "Step 530: cost=0.8122142553329468\n",
            "Step 540: cost=0.811661958694458\n",
            "Step 550: cost=0.8113625645637512\n",
            "Step 560: cost=0.81110680103302\n",
            "Step 570: cost=0.8110915422439575\n",
            "Step 580: cost=0.8110300898551941\n",
            "Step 590: cost=0.8110439777374268\n",
            "Step 600: cost=0.8109972476959229\n",
            "Step 610: cost=0.8110285997390747\n",
            "Step 620: cost=0.8110527396202087\n",
            "Step 630: cost=0.8110467195510864\n",
            "Step 640: cost=0.8110257387161255\n",
            "Step 650: cost=0.8110175132751465\n",
            "Step 660: cost=0.8110176920890808\n",
            "Step 670: cost=0.8110136985778809\n",
            "Step 680: cost=0.8110265731811523\n",
            "Step 690: cost=0.8110303282737732\n",
            "Step 700: cost=0.8110034465789795\n",
            "Step 710: cost=0.8110818266868591\n",
            "Step 720: cost=0.8110458254814148\n",
            "Step 730: cost=0.8109580874443054\n",
            "Step 740: cost=0.8110032081604004\n",
            "Step 750: cost=0.8110036849975586\n",
            "Step 760: cost=0.8109605312347412\n",
            "Step 770: cost=0.8110008835792542\n",
            "Step 780: cost=0.8110141754150391\n",
            "Step 790: cost=0.8110275864601135\n",
            "Step 800: cost=0.8109844326972961\n",
            "Step 810: cost=0.8109850287437439\n",
            "Step 820: cost=0.8110142946243286\n",
            "Step 830: cost=0.8110160231590271\n",
            "Step 840: cost=0.8109915256500244\n",
            "Step 850: cost=0.8110279440879822\n",
            "Step 860: cost=0.8110676407814026\n",
            "Step 870: cost=0.8110440373420715\n",
            "Step 880: cost=0.8110072612762451\n",
            "Step 890: cost=0.8109763264656067\n",
            "Step 900: cost=0.811008095741272\n",
            "Step 910: cost=0.8110139966011047\n",
            "Step 920: cost=0.8110249042510986\n",
            "Step 930: cost=0.8110697269439697\n",
            "Step 940: cost=0.8110483884811401\n",
            "Step 950: cost=0.8110348582267761\n",
            "Step 960: cost=0.8110589385032654\n",
            "Step 970: cost=0.8110297322273254\n",
            "Step 980: cost=0.8110287189483643\n",
            "Step 990: cost=0.8110383749008179\n",
            "Step 1000: cost=0.8110669851303101\n",
            "30/5000\n",
            "Step 10: cost=1.8218200206756592\n",
            "Step 20: cost=1.784038782119751\n",
            "Step 30: cost=1.7441751956939697\n",
            "Step 40: cost=1.7001808881759644\n",
            "Step 50: cost=1.6691218614578247\n",
            "Step 60: cost=1.628645896911621\n",
            "Step 70: cost=1.5960781574249268\n",
            "Step 80: cost=1.5631849765777588\n",
            "Step 90: cost=1.5258729457855225\n",
            "Step 100: cost=1.496872901916504\n",
            "Step 110: cost=1.4644312858581543\n",
            "Step 120: cost=1.4393738508224487\n",
            "Step 130: cost=1.4056246280670166\n",
            "Step 140: cost=1.3786993026733398\n",
            "Step 150: cost=1.3489046096801758\n",
            "Step 160: cost=1.321202039718628\n",
            "Step 170: cost=1.2946935892105103\n",
            "Step 180: cost=1.2690167427062988\n",
            "Step 190: cost=1.2477660179138184\n",
            "Step 200: cost=1.2201712131500244\n",
            "Step 210: cost=1.198886752128601\n",
            "Step 220: cost=1.1738566160202026\n",
            "Step 230: cost=1.1542184352874756\n",
            "Step 240: cost=1.129818320274353\n",
            "Step 250: cost=1.1106597185134888\n",
            "Step 260: cost=1.0869998931884766\n",
            "Step 270: cost=1.068070888519287\n",
            "Step 280: cost=1.047184944152832\n",
            "Step 290: cost=1.0267642736434937\n",
            "Step 300: cost=1.0087289810180664\n",
            "Step 310: cost=0.9908850193023682\n",
            "Step 320: cost=0.9728695154190063\n",
            "Step 330: cost=0.9583954215049744\n",
            "Step 340: cost=0.9428286552429199\n",
            "Step 350: cost=0.9303780198097229\n",
            "Step 360: cost=0.9149572253227234\n",
            "Step 370: cost=0.9031128287315369\n",
            "Step 380: cost=0.8920164108276367\n",
            "Step 390: cost=0.8816203474998474\n",
            "Step 400: cost=0.8706876039505005\n",
            "Step 410: cost=0.8621732592582703\n",
            "Step 420: cost=0.8545677661895752\n",
            "Step 430: cost=0.8471987843513489\n",
            "Step 440: cost=0.8404020667076111\n",
            "Step 450: cost=0.8352227807044983\n",
            "Step 460: cost=0.8299009799957275\n",
            "Step 470: cost=0.8257423043251038\n",
            "Step 480: cost=0.8214708566665649\n",
            "Step 490: cost=0.8182361721992493\n",
            "Step 500: cost=0.8158718943595886\n",
            "Step 510: cost=0.8140587210655212\n",
            "Step 520: cost=0.8125863671302795\n",
            "Step 530: cost=0.8116952776908875\n",
            "Step 540: cost=0.811392605304718\n",
            "Step 550: cost=0.8112069368362427\n",
            "Step 560: cost=0.811048150062561\n",
            "Step 570: cost=0.8110360503196716\n",
            "Step 580: cost=0.8110083937644958\n",
            "Step 590: cost=0.8109893202781677\n",
            "Step 600: cost=0.8110315203666687\n",
            "Step 610: cost=0.8110527396202087\n",
            "Step 620: cost=0.8110266327857971\n",
            "Step 630: cost=0.8110622763633728\n",
            "Step 640: cost=0.8110570907592773\n",
            "Step 650: cost=0.8110250234603882\n",
            "Step 660: cost=0.8110000491142273\n",
            "Step 670: cost=0.8110528588294983\n",
            "Step 680: cost=0.811029851436615\n",
            "Step 690: cost=0.8110257387161255\n",
            "Step 700: cost=0.8109723329544067\n",
            "Step 710: cost=0.8109818696975708\n",
            "Step 720: cost=0.8110399842262268\n",
            "Step 730: cost=0.8109897375106812\n",
            "Step 740: cost=0.8110221028327942\n",
            "Step 750: cost=0.8109471201896667\n",
            "Step 760: cost=0.8110013008117676\n",
            "Step 770: cost=0.8110735416412354\n",
            "Step 780: cost=0.811034619808197\n",
            "Step 790: cost=0.811042308807373\n",
            "Step 800: cost=0.8110395669937134\n",
            "Step 810: cost=0.8110015392303467\n",
            "Step 820: cost=0.8109752535820007\n",
            "Step 830: cost=0.8109582662582397\n",
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            "Step 850: cost=0.8110337853431702\n",
            "Step 860: cost=0.8109994530677795\n",
            "Step 870: cost=0.8110318183898926\n",
            "Step 880: cost=0.8110359907150269\n",
            "Step 890: cost=0.8110071420669556\n",
            "Step 900: cost=0.8110023736953735\n",
            "Step 910: cost=0.8109623789787292\n",
            "Step 920: cost=0.8110400438308716\n",
            "Step 930: cost=0.8110305666923523\n",
            "Step 940: cost=0.8110308647155762\n",
            "Step 950: cost=0.8110399842262268\n",
            "Step 960: cost=0.8110142350196838\n",
            "Step 970: cost=0.8109616041183472\n",
            "Step 980: cost=0.8109986782073975\n",
            "Step 990: cost=0.8109973669052124\n",
            "Step 1000: cost=0.8109724521636963\n",
            "Step 10: cost=1.8191113471984863\n",
            "Step 20: cost=1.7787805795669556\n",
            "Step 30: cost=1.7372932434082031\n",
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            "Step 50: cost=1.6598641872406006\n",
            "Step 60: cost=1.6226577758789062\n",
            "Step 70: cost=1.5928065776824951\n",
            "Step 80: cost=1.5566880702972412\n",
            "Step 90: cost=1.5243093967437744\n",
            "Step 100: cost=1.4945422410964966\n",
            "Step 110: cost=1.4649641513824463\n",
            "Step 120: cost=1.4308202266693115\n",
            "Step 130: cost=1.402451515197754\n",
            "Step 140: cost=1.3770077228546143\n",
            "Step 150: cost=1.3502168655395508\n",
            "Step 160: cost=1.3230760097503662\n",
            "Step 170: cost=1.294403076171875\n",
            "Step 180: cost=1.268929123878479\n",
            "Step 190: cost=1.2408839464187622\n",
            "Step 200: cost=1.2195823192596436\n",
            "Step 210: cost=1.1980323791503906\n",
            "Step 220: cost=1.1723127365112305\n",
            "Step 230: cost=1.1486115455627441\n",
            "Step 240: cost=1.130549669265747\n",
            "Step 250: cost=1.1087236404418945\n",
            "Step 260: cost=1.0904353857040405\n",
            "Step 270: cost=1.0676335096359253\n",
            "Step 280: cost=1.0499815940856934\n",
            "Step 290: cost=1.0311172008514404\n",
            "Step 300: cost=1.011316180229187\n",
            "Step 310: cost=0.9952811598777771\n",
            "Step 320: cost=0.9795989990234375\n",
            "Step 330: cost=0.9633418321609497\n",
            "Step 340: cost=0.9490988254547119\n",
            "Step 350: cost=0.9349756240844727\n",
            "Step 360: cost=0.9237070679664612\n",
            "Step 370: cost=0.9094181060791016\n",
            "Step 380: cost=0.8987462520599365\n",
            "Step 390: cost=0.8882906436920166\n",
            "Step 400: cost=0.8778730630874634\n",
            "Step 410: cost=0.8692525625228882\n",
            "Step 420: cost=0.8605221509933472\n",
            "Step 430: cost=0.8523621559143066\n",
            "Step 440: cost=0.8451880216598511\n",
            "Step 450: cost=0.8394321799278259\n",
            "Step 460: cost=0.8330240249633789\n",
            "Step 470: cost=0.828361451625824\n",
            "Step 480: cost=0.8242751359939575\n",
            "Step 490: cost=0.8207026124000549\n",
            "Step 500: cost=0.8180844783782959\n",
            "Step 510: cost=0.8162209391593933\n",
            "Step 520: cost=0.8148198127746582\n",
            "Step 530: cost=0.813774824142456\n",
            "Step 540: cost=0.8129300475120544\n",
            "Step 550: cost=0.8122164011001587\n",
            "Step 560: cost=0.8119080662727356\n",
            "Step 570: cost=0.8116117715835571\n",
            "Step 580: cost=0.8114326596260071\n",
            "Step 590: cost=0.8113220930099487\n",
            "Step 600: cost=0.8111703395843506\n",
            "Step 610: cost=0.8111598491668701\n",
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            "Step 630: cost=0.8109933733940125\n",
            "Step 640: cost=0.8110360503196716\n",
            "Step 650: cost=0.8109831809997559\n",
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            "Step 670: cost=0.8110206723213196\n",
            "Step 680: cost=0.8110403418540955\n",
            "Step 690: cost=0.8110178112983704\n",
            "Step 700: cost=0.8109864592552185\n",
            "Step 710: cost=0.8109962344169617\n",
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            "Step 730: cost=0.81097811460495\n",
            "Step 740: cost=0.810947597026825\n",
            "Step 750: cost=0.8110098838806152\n",
            "Step 760: cost=0.8109919428825378\n",
            "Step 770: cost=0.8109510540962219\n",
            "Step 780: cost=0.8110072016716003\n",
            "Step 790: cost=0.8110511898994446\n",
            "Step 800: cost=0.8110571503639221\n",
            "Step 810: cost=0.8110201954841614\n",
            "Step 820: cost=0.8110370635986328\n",
            "Step 830: cost=0.8110137581825256\n",
            "Step 840: cost=0.8110388517379761\n",
            "Step 850: cost=0.8110405802726746\n",
            "Step 860: cost=0.8110138773918152\n",
            "Step 870: cost=0.811029314994812\n",
            "Step 880: cost=0.8109732270240784\n",
            "Step 890: cost=0.811028778553009\n",
            "Step 900: cost=0.8110037446022034\n",
            "Step 910: cost=0.8110629916191101\n",
            "Step 920: cost=0.8110543489456177\n",
            "Step 930: cost=0.8110288381576538\n",
            "Step 940: cost=0.8109948635101318\n",
            "Step 950: cost=0.8109980821609497\n",
            "Step 960: cost=0.8110531568527222\n",
            "Step 970: cost=0.8110268115997314\n",
            "Step 980: cost=0.8110402226448059\n",
            "Step 990: cost=0.8110097050666809\n",
            "Step 1000: cost=0.8110030889511108\n",
            "Step 10: cost=1.8069422245025635\n",
            "Step 20: cost=1.7680606842041016\n",
            "Step 30: cost=1.7287845611572266\n",
            "Step 40: cost=1.6928905248641968\n",
            "Step 50: cost=1.6558141708374023\n",
            "Step 60: cost=1.6182210445404053\n",
            "Step 70: cost=1.579575538635254\n",
            "Step 80: cost=1.5493119955062866\n",
            "Step 90: cost=1.5172514915466309\n",
            "Step 100: cost=1.4879791736602783\n",
            "Step 110: cost=1.4540700912475586\n",
            "Step 120: cost=1.424036979675293\n",
            "Step 130: cost=1.4000355005264282\n",
            "Step 140: cost=1.374953031539917\n",
            "Step 150: cost=1.3441340923309326\n",
            "Step 160: cost=1.3179073333740234\n",
            "Step 170: cost=1.2937521934509277\n",
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            "Step 190: cost=1.2455098628997803\n",
            "Step 200: cost=1.2227051258087158\n",
            "Step 210: cost=1.1978368759155273\n",
            "Step 220: cost=1.174883246421814\n",
            "Step 230: cost=1.154227375984192\n",
            "Step 240: cost=1.1315182447433472\n",
            "Step 250: cost=1.1130882501602173\n",
            "Step 260: cost=1.0916966199874878\n",
            "Step 270: cost=1.0708893537521362\n",
            "Step 280: cost=1.053128719329834\n",
            "Step 290: cost=1.032630205154419\n",
            "Step 300: cost=1.015748381614685\n",
            "Step 310: cost=0.9981822967529297\n",
            "Step 320: cost=0.9811199903488159\n",
            "Step 330: cost=0.9658933877944946\n",
            "Step 340: cost=0.9510766863822937\n",
            "Step 350: cost=0.937227189540863\n",
            "Step 360: cost=0.9227521419525146\n",
            "Step 370: cost=0.9096708297729492\n",
            "Step 380: cost=0.8967966437339783\n",
            "Step 390: cost=0.8864045739173889\n",
            "Step 400: cost=0.8759889602661133\n",
            "Step 410: cost=0.8661618232727051\n",
            "Step 420: cost=0.8576314449310303\n",
            "Step 430: cost=0.8500351309776306\n",
            "Step 440: cost=0.8436871767044067\n",
            "Step 450: cost=0.8374485373497009\n",
            "Step 460: cost=0.8321722149848938\n",
            "Step 470: cost=0.8276888728141785\n",
            "Step 480: cost=0.8240957856178284\n",
            "Step 490: cost=0.8210694193840027\n",
            "Step 500: cost=0.8187795281410217\n",
            "Step 510: cost=0.8169838786125183\n",
            "Step 520: cost=0.8153167366981506\n",
            "Step 530: cost=0.8141573667526245\n",
            "Step 540: cost=0.8130694627761841\n",
            "Step 550: cost=0.8123794794082642\n",
            "Step 560: cost=0.811695396900177\n",
            "Step 570: cost=0.8115410804748535\n",
            "Step 580: cost=0.8112984299659729\n",
            "Step 590: cost=0.8110679984092712\n",
            "Step 600: cost=0.8110873103141785\n",
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            "Step 620: cost=0.811055064201355\n",
            "Step 630: cost=0.8110073804855347\n",
            "Step 640: cost=0.8110377788543701\n",
            "Step 650: cost=0.8110170364379883\n",
            "Step 660: cost=0.8110076189041138\n",
            "Step 670: cost=0.811011791229248\n",
            "Step 680: cost=0.8110411167144775\n",
            "Step 690: cost=0.8110514283180237\n",
            "Step 700: cost=0.8110513687133789\n",
            "Step 710: cost=0.8110417127609253\n",
            "Step 720: cost=0.8110543489456177\n",
            "Step 730: cost=0.8110199570655823\n",
            "Step 740: cost=0.8110045194625854\n",
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            "Step 1000: cost=0.8110037446022034\n",
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            "Step 100: cost=1.4904842376708984\n",
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            "Step 580: cost=0.8111936450004578\n",
            "Step 590: cost=0.8110674023628235\n",
            "Step 600: cost=0.8110291957855225\n",
            "Step 610: cost=0.8110312819480896\n",
            "Step 620: cost=0.8110125064849854\n",
            "Step 630: cost=0.8110243678092957\n",
            "Step 640: cost=0.811019241809845\n",
            "Step 650: cost=0.8110423684120178\n",
            "Step 660: cost=0.8110009431838989\n",
            "Step 670: cost=0.8110164999961853\n",
            "Step 680: cost=0.8110213279724121\n",
            "Step 690: cost=0.8110048770904541\n",
            "Step 700: cost=0.8109796643257141\n",
            "Step 710: cost=0.8109856843948364\n",
            "Step 720: cost=0.8109996914863586\n",
            "Step 730: cost=0.8110238313674927\n",
            "Step 740: cost=0.8110378384590149\n",
            "Step 750: cost=0.8109734654426575\n",
            "Step 760: cost=0.8109761476516724\n",
            "Step 770: cost=0.8110335469245911\n",
            "Step 780: cost=0.8110376000404358\n",
            "Step 790: cost=0.8110007047653198\n",
            "Step 800: cost=0.8110591769218445\n",
            "Step 810: cost=0.8110301494598389\n",
            "Step 820: cost=0.8110696077346802\n",
            "Step 830: cost=0.8110067248344421\n",
            "Step 840: cost=0.8109868764877319\n",
            "Step 850: cost=0.8110610246658325\n",
            "Step 860: cost=0.811047375202179\n",
            "Step 870: cost=0.811019778251648\n",
            "Step 880: cost=0.8110392093658447\n",
            "Step 890: cost=0.8110443949699402\n",
            "Step 900: cost=0.8110251426696777\n",
            "Step 910: cost=0.8109791874885559\n",
            "Step 920: cost=0.8109963536262512\n",
            "Step 930: cost=0.8110304474830627\n",
            "Step 940: cost=0.8110044598579407\n",
            "Step 950: cost=0.8109980225563049\n",
            "Step 960: cost=0.811004102230072\n",
            "Step 970: cost=0.8109884262084961\n",
            "Step 980: cost=0.8110632300376892\n",
            "Step 990: cost=0.8110454082489014\n",
            "Step 1000: cost=0.8110311627388\n",
            "Step 10: cost=1.8178489208221436\n",
            "Step 20: cost=1.7798395156860352\n",
            "Step 30: cost=1.7393455505371094\n",
            "Step 40: cost=1.6990916728973389\n",
            "Step 50: cost=1.6627392768859863\n",
            "Step 60: cost=1.6278777122497559\n",
            "Step 70: cost=1.5911064147949219\n",
            "Step 80: cost=1.5556676387786865\n",
            "Step 90: cost=1.525768756866455\n",
            "Step 100: cost=1.49173903465271\n",
            "Step 110: cost=1.4625556468963623\n",
            "Step 120: cost=1.434748649597168\n",
            "Step 130: cost=1.4021735191345215\n",
            "Step 140: cost=1.37581467628479\n",
            "Step 150: cost=1.3479461669921875\n",
            "Step 160: cost=1.3230273723602295\n",
            "Step 170: cost=1.296194076538086\n",
            "Step 180: cost=1.2724926471710205\n",
            "Step 190: cost=1.242875576019287\n",
            "Step 200: cost=1.2222105264663696\n",
            "Step 210: cost=1.196977138519287\n",
            "Step 220: cost=1.1744097471237183\n",
            "Step 230: cost=1.1513001918792725\n",
            "Step 240: cost=1.129574179649353\n",
            "Step 250: cost=1.1105097532272339\n",
            "Step 260: cost=1.0883814096450806\n",
            "Step 270: cost=1.0685195922851562\n",
            "Step 280: cost=1.0490189790725708\n",
            "Step 290: cost=1.0302176475524902\n",
            "Step 300: cost=1.012675166130066\n",
            "Step 310: cost=0.9945963025093079\n",
            "Step 320: cost=0.9776517152786255\n",
            "Step 330: cost=0.9624388217926025\n",
            "Step 340: cost=0.946750819683075\n",
            "Step 350: cost=0.9339129328727722\n",
            "Step 360: cost=0.9204989075660706\n",
            "Step 370: cost=0.909110963344574\n",
            "Step 380: cost=0.8971893787384033\n",
            "Step 390: cost=0.8875892162322998\n",
            "Step 400: cost=0.8770806789398193\n",
            "Step 410: cost=0.8672374486923218\n",
            "Step 420: cost=0.859165608882904\n",
            "Step 430: cost=0.8517399430274963\n",
            "Step 440: cost=0.8435136079788208\n",
            "Step 450: cost=0.8379835486412048\n",
            "Step 460: cost=0.8321449160575867\n",
            "Step 470: cost=0.8268344402313232\n",
            "Step 480: cost=0.8226304650306702\n",
            "Step 490: cost=0.8196518421173096\n",
            "Step 500: cost=0.8173229098320007\n",
            "Step 510: cost=0.8156394958496094\n",
            "Step 520: cost=0.8143834471702576\n",
            "Step 530: cost=0.8133814334869385\n",
            "Step 540: cost=0.8129134178161621\n",
            "Step 550: cost=0.8122562170028687\n",
            "Step 560: cost=0.8117615580558777\n",
            "Step 570: cost=0.8113449215888977\n",
            "Step 580: cost=0.811251163482666\n",
            "Step 590: cost=0.8111039996147156\n",
            "Step 600: cost=0.8110638856887817\n",
            "Step 610: cost=0.8110426068305969\n",
            "Step 620: cost=0.8110160231590271\n",
            "Step 630: cost=0.8110008835792542\n",
            "Step 640: cost=0.8110360503196716\n",
            "Step 650: cost=0.8109748363494873\n",
            "Step 660: cost=0.811065137386322\n",
            "Step 670: cost=0.8110050559043884\n",
            "Step 680: cost=0.8110164403915405\n",
            "Step 690: cost=0.811056911945343\n",
            "Step 700: cost=0.8110328912734985\n",
            "Step 710: cost=0.8110088109970093\n",
            "Step 720: cost=0.810989499092102\n",
            "Step 730: cost=0.8110522627830505\n",
            "Step 740: cost=0.8110261559486389\n",
            "Step 750: cost=0.8109691143035889\n",
            "Step 760: cost=0.8110342025756836\n",
            "Step 770: cost=0.8110215067863464\n",
            "Step 780: cost=0.8109946846961975\n",
            "Step 790: cost=0.8110508918762207\n",
            "Step 800: cost=0.8110714554786682\n",
            "Step 810: cost=0.8110451698303223\n",
            "Step 820: cost=0.811034083366394\n",
            "Step 830: cost=0.8110088109970093\n",
            "Step 840: cost=0.8110289573669434\n",
            "Step 850: cost=0.8109536170959473\n",
            "Step 860: cost=0.8110204935073853\n",
            "Step 870: cost=0.8109922409057617\n",
            "Step 880: cost=0.8109912872314453\n",
            "Step 890: cost=0.8110082745552063\n",
            "Step 900: cost=0.8109890222549438\n",
            "Step 910: cost=0.810955286026001\n",
            "Step 920: cost=0.8110209703445435\n",
            "Step 930: cost=0.8110396265983582\n",
            "Step 940: cost=0.8110260367393494\n",
            "Step 950: cost=0.8110121488571167\n",
            "Step 960: cost=0.8110058307647705\n",
            "Step 970: cost=0.8110449314117432\n",
            "Step 980: cost=0.8110186457633972\n",
            "Step 990: cost=0.8110593557357788\n",
            "Step 1000: cost=0.8110328316688538\n",
            "Step 10: cost=1.8095442056655884\n",
            "Step 20: cost=1.774731159210205\n",
            "Step 30: cost=1.736876130104065\n",
            "Step 40: cost=1.6961565017700195\n",
            "Step 50: cost=1.6603862047195435\n",
            "Step 60: cost=1.6218302249908447\n",
            "Step 70: cost=1.5913188457489014\n",
            "Step 80: cost=1.5568256378173828\n",
            "Step 90: cost=1.5260530710220337\n",
            "Step 100: cost=1.4923877716064453\n",
            "Step 110: cost=1.4614166021347046\n",
            "Step 120: cost=1.4311683177947998\n",
            "Step 130: cost=1.4010218381881714\n",
            "Step 140: cost=1.3729033470153809\n",
            "Step 150: cost=1.344829797744751\n",
            "Step 160: cost=1.3190972805023193\n",
            "Step 170: cost=1.289622187614441\n",
            "Step 180: cost=1.266369342803955\n",
            "Step 190: cost=1.2449487447738647\n",
            "Step 200: cost=1.221489667892456\n",
            "Step 210: cost=1.1989941596984863\n",
            "Step 220: cost=1.1750715970993042\n",
            "Step 230: cost=1.1529537439346313\n",
            "Step 240: cost=1.1315224170684814\n",
            "Step 250: cost=1.1101975440979004\n",
            "Step 260: cost=1.0908586978912354\n",
            "Step 270: cost=1.0694481134414673\n",
            "Step 280: cost=1.0482101440429688\n",
            "Step 290: cost=1.0308380126953125\n",
            "Step 300: cost=1.010657548904419\n",
            "Step 310: cost=0.993991494178772\n",
            "Step 320: cost=0.978629469871521\n",
            "Step 330: cost=0.9612666368484497\n",
            "Step 340: cost=0.9457666873931885\n",
            "Step 350: cost=0.9323482513427734\n",
            "Step 360: cost=0.917697548866272\n",
            "Step 370: cost=0.9045339226722717\n",
            "Step 380: cost=0.8936418890953064\n",
            "Step 390: cost=0.8834526538848877\n",
            "Step 400: cost=0.8727802634239197\n",
            "Step 410: cost=0.8649588227272034\n",
            "Step 420: cost=0.8571651577949524\n",
            "Step 430: cost=0.8503004908561707\n",
            "Step 440: cost=0.8441057205200195\n",
            "Step 450: cost=0.8385525941848755\n",
            "Step 460: cost=0.8341744542121887\n",
            "Step 470: cost=0.8289765119552612\n",
            "Step 480: cost=0.8254404664039612\n",
            "Step 490: cost=0.8222146034240723\n",
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            "Step 510: cost=0.817474901676178\n",
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            "Step 530: cost=0.8144135475158691\n",
            "Step 540: cost=0.8133756518363953\n",
            "Step 550: cost=0.8124567866325378\n",
            "Step 560: cost=0.8119202256202698\n",
            "Step 570: cost=0.8114637136459351\n",
            "Step 580: cost=0.8113512396812439\n",
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            "Step 640: cost=0.8109978437423706\n",
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            "Step 660: cost=0.8109745979309082\n",
            "Step 670: cost=0.8109706044197083\n",
            "Step 680: cost=0.8110274076461792\n",
            "Step 690: cost=0.8109990954399109\n",
            "Step 700: cost=0.8110377788543701\n",
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            "Step 750: cost=0.8110007643699646\n",
            "Step 760: cost=0.810972273349762\n",
            "Step 770: cost=0.8110058903694153\n",
            "Step 780: cost=0.8110029697418213\n",
            "Step 790: cost=0.8110239505767822\n",
            "Step 800: cost=0.8110684156417847\n",
            "Step 810: cost=0.8110798001289368\n",
            "Step 820: cost=0.8110294342041016\n",
            "Step 830: cost=0.8110390305519104\n",
            "Step 840: cost=0.8109799027442932\n",
            "Step 850: cost=0.810982882976532\n",
            "Step 860: cost=0.8109660148620605\n",
            "Step 870: cost=0.8109816312789917\n",
            "Step 880: cost=0.8110125660896301\n",
            "Step 890: cost=0.8110578060150146\n",
            "Step 900: cost=0.8110818862915039\n",
            "Step 910: cost=0.811034083366394\n",
            "Step 920: cost=0.8110488653182983\n",
            "Step 930: cost=0.8110160231590271\n",
            "Step 940: cost=0.8109837174415588\n",
            "Step 950: cost=0.8110312223434448\n",
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            "Step 980: cost=0.8110410571098328\n",
            "Step 990: cost=0.8110385537147522\n",
            "Step 1000: cost=0.8109961152076721\n",
            "Step 10: cost=1.8151237964630127\n",
            "Step 20: cost=1.7761735916137695\n",
            "Step 30: cost=1.7369921207427979\n",
            "Step 40: cost=1.6983078718185425\n",
            "Step 50: cost=1.6594549417495728\n",
            "Step 60: cost=1.6246694326400757\n",
            "Step 70: cost=1.59023118019104\n",
            "Step 80: cost=1.5557498931884766\n",
            "Step 90: cost=1.525827407836914\n",
            "Step 100: cost=1.492987036705017\n",
            "Step 110: cost=1.4606804847717285\n",
            "Step 120: cost=1.4305949211120605\n",
            "Step 130: cost=1.4031884670257568\n",
            "Step 140: cost=1.3729491233825684\n",
            "Step 150: cost=1.3476221561431885\n",
            "Step 160: cost=1.318388819694519\n",
            "Step 170: cost=1.2946990728378296\n",
            "Step 180: cost=1.2681591510772705\n",
            "Step 190: cost=1.24668550491333\n",
            "Step 200: cost=1.2217580080032349\n",
            "Step 210: cost=1.1954944133758545\n",
            "Step 220: cost=1.1751738786697388\n",
            "Step 230: cost=1.1508479118347168\n",
            "Step 240: cost=1.1295148134231567\n",
            "Step 250: cost=1.1089353561401367\n",
            "Step 260: cost=1.0882128477096558\n",
            "Step 270: cost=1.0656616687774658\n",
            "Step 280: cost=1.0486396551132202\n",
            "Step 290: cost=1.029954433441162\n",
            "Step 300: cost=1.0103795528411865\n",
            "Step 310: cost=0.9933111071586609\n",
            "Step 320: cost=0.9770616292953491\n",
            "Step 330: cost=0.9603362083435059\n",
            "Step 340: cost=0.9451630115509033\n",
            "Step 350: cost=0.9309334754943848\n",
            "Step 360: cost=0.9186498522758484\n",
            "Step 370: cost=0.9056177139282227\n",
            "Step 380: cost=0.8955547213554382\n",
            "Step 390: cost=0.8836702108383179\n",
            "Step 400: cost=0.8739246726036072\n",
            "Step 410: cost=0.8654103875160217\n",
            "Step 420: cost=0.8567275404930115\n",
            "Step 430: cost=0.8496913909912109\n",
            "Step 440: cost=0.8422468304634094\n",
            "Step 450: cost=0.8365539908409119\n",
            "Step 460: cost=0.8314766883850098\n",
            "Step 470: cost=0.8267765641212463\n",
            "Step 480: cost=0.8231133818626404\n",
            "Step 490: cost=0.8197166323661804\n",
            "Step 500: cost=0.8171346783638\n",
            "Step 510: cost=0.8153808116912842\n",
            "Step 520: cost=0.8137300610542297\n",
            "Step 530: cost=0.8126333355903625\n",
            "Step 540: cost=0.8118227124214172\n",
            "Step 550: cost=0.8114057183265686\n",
            "Step 560: cost=0.8111334443092346\n",
            "Step 570: cost=0.811079204082489\n",
            "Step 580: cost=0.8110262155532837\n",
            "Step 590: cost=0.811022937297821\n",
            "Step 600: cost=0.8110336661338806\n",
            "Step 610: cost=0.8110442161560059\n",
            "Step 620: cost=0.8110664486885071\n",
            "Step 630: cost=0.8110591173171997\n",
            "Step 640: cost=0.8110483288764954\n",
            "Step 650: cost=0.8109979033470154\n",
            "Step 660: cost=0.8110209107398987\n",
            "Step 670: cost=0.8110322952270508\n",
            "Step 680: cost=0.8110237121582031\n",
            "Step 690: cost=0.8110202550888062\n",
            "Step 700: cost=0.8111112117767334\n",
            "Step 710: cost=0.8110669255256653\n",
            "Step 720: cost=0.8109645247459412\n",
            "Step 730: cost=0.8109802603721619\n",
            "Step 740: cost=0.8110365271568298\n",
            "Step 750: cost=0.8110406398773193\n",
            "Step 760: cost=0.8110303282737732\n",
            "Step 770: cost=0.8110886812210083\n",
            "Step 780: cost=0.811051607131958\n",
            "Step 790: cost=0.811032235622406\n",
            "Step 800: cost=0.8110347986221313\n",
            "Step 810: cost=0.8109840750694275\n",
            "Step 820: cost=0.8109913468360901\n",
            "Step 830: cost=0.8110317587852478\n",
            "Step 840: cost=0.8110242486000061\n",
            "Step 850: cost=0.8110159039497375\n",
            "Step 860: cost=0.8110799193382263\n",
            "Step 870: cost=0.8110056519508362\n",
            "Step 880: cost=0.8109954595565796\n",
            "Step 890: cost=0.8110321164131165\n",
            "Step 900: cost=0.8110195398330688\n",
            "Step 910: cost=0.8110080361366272\n",
            "Step 920: cost=0.8110098242759705\n",
            "Step 930: cost=0.8109793066978455\n",
            "Step 940: cost=0.8110013604164124\n",
            "Step 950: cost=0.8110395669937134\n",
            "Step 960: cost=0.8109763860702515\n",
            "Step 970: cost=0.8110368847846985\n",
            "Step 980: cost=0.8110193610191345\n",
            "Step 990: cost=0.8110142946243286\n",
            "Step 1000: cost=0.8110361695289612\n",
            "40/5000\n",
            "Step 10: cost=1.8187978267669678\n",
            "Step 20: cost=1.782052993774414\n",
            "Step 30: cost=1.74308443069458\n",
            "Step 40: cost=1.7107882499694824\n",
            "Step 50: cost=1.6659471988677979\n",
            "Step 60: cost=1.627898931503296\n",
            "Step 70: cost=1.5952966213226318\n",
            "Step 80: cost=1.5619049072265625\n",
            "Step 90: cost=1.5275440216064453\n",
            "Step 100: cost=1.4968769550323486\n",
            "Step 110: cost=1.4658477306365967\n",
            "Step 120: cost=1.4314236640930176\n",
            "Step 130: cost=1.4081816673278809\n",
            "Step 140: cost=1.381917953491211\n",
            "Step 150: cost=1.351989984512329\n",
            "Step 160: cost=1.3225116729736328\n",
            "Step 170: cost=1.2965564727783203\n",
            "Step 180: cost=1.2714720964431763\n",
            "Step 190: cost=1.2466801404953003\n",
            "Step 200: cost=1.2243449687957764\n",
            "Step 210: cost=1.1975382566452026\n",
            "Step 220: cost=1.1761678457260132\n",
            "Step 230: cost=1.1491620540618896\n",
            "Step 240: cost=1.1303646564483643\n",
            "Step 250: cost=1.109619140625\n",
            "Step 260: cost=1.0862921476364136\n",
            "Step 270: cost=1.067811131477356\n",
            "Step 280: cost=1.0455396175384521\n",
            "Step 290: cost=1.0286731719970703\n",
            "Step 300: cost=1.0098732709884644\n",
            "Step 310: cost=0.9920167922973633\n",
            "Step 320: cost=0.9750549793243408\n",
            "Step 330: cost=0.9592075347900391\n",
            "Step 340: cost=0.9443890452384949\n",
            "Step 350: cost=0.9289291501045227\n",
            "Step 360: cost=0.915041446685791\n",
            "Step 370: cost=0.9032809734344482\n",
            "Step 380: cost=0.8909701108932495\n",
            "Step 390: cost=0.8802118897438049\n",
            "Step 400: cost=0.8704640865325928\n",
            "Step 410: cost=0.8613686561584473\n",
            "Step 420: cost=0.8536593914031982\n",
            "Step 430: cost=0.8466429710388184\n",
            "Step 440: cost=0.8402221202850342\n",
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            "Step 320: cost=0.9796626567840576\n",
            "Step 330: cost=0.9619165658950806\n",
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            "Step 380: cost=0.8969679474830627\n",
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            "Step 150: cost=1.3463923931121826\n",
            "Step 160: cost=1.318974256515503\n",
            "Step 170: cost=1.2979350090026855\n",
            "Step 180: cost=1.2724357843399048\n",
            "Step 190: cost=1.2472484111785889\n",
            "Step 200: cost=1.2246161699295044\n",
            "Step 210: cost=1.2018675804138184\n",
            "Step 220: cost=1.1768642663955688\n",
            "Step 230: cost=1.1551244258880615\n",
            "Step 240: cost=1.1342614889144897\n",
            "Step 250: cost=1.1133060455322266\n",
            "Step 260: cost=1.0919984579086304\n",
            "Step 270: cost=1.070885419845581\n",
            "Step 280: cost=1.0536384582519531\n",
            "Step 290: cost=1.0328460931777954\n",
            "Step 300: cost=1.0165326595306396\n",
            "Step 310: cost=0.9977734088897705\n",
            "Step 320: cost=0.9821679592132568\n",
            "Step 330: cost=0.9654207825660706\n",
            "Step 340: cost=0.9498485326766968\n",
            "Step 350: cost=0.9346448183059692\n",
            "Step 360: cost=0.9208866953849792\n",
            "Step 370: cost=0.9074056148529053\n",
            "Step 380: cost=0.8955934643745422\n",
            "Step 390: cost=0.8826557993888855\n",
            "Step 400: cost=0.8724676370620728\n",
            "Step 410: cost=0.8632868528366089\n",
            "Step 420: cost=0.8548137545585632\n",
            "Step 430: cost=0.8475602865219116\n",
            "Step 440: cost=0.8421355485916138\n",
            "Step 450: cost=0.8364028930664062\n",
            "Step 460: cost=0.8318977952003479\n",
            "Step 470: cost=0.8281272053718567\n",
            "Step 480: cost=0.8242735266685486\n",
            "Step 490: cost=0.8214386701583862\n",
            "Step 500: cost=0.8193078637123108\n",
            "Step 510: cost=0.8172281980514526\n",
            "Step 520: cost=0.8158791065216064\n",
            "Step 530: cost=0.8144719004631042\n",
            "Step 540: cost=0.8136711120605469\n",
            "Step 550: cost=0.8129017949104309\n",
            "Step 560: cost=0.8122460842132568\n",
            "Step 570: cost=0.811732292175293\n",
            "Step 580: cost=0.8114430904388428\n",
            "Step 590: cost=0.8111925721168518\n",
            "Step 600: cost=0.8111101984977722\n",
            "Step 610: cost=0.8110778331756592\n",
            "Step 620: cost=0.8110188245773315\n",
            "Step 630: cost=0.8110113143920898\n",
            "Step 640: cost=0.8109515905380249\n",
            "Step 650: cost=0.811058759689331\n",
            "Step 660: cost=0.8110062479972839\n",
            "Step 670: cost=0.8110604286193848\n",
            "Step 680: cost=0.8110257983207703\n",
            "Step 690: cost=0.8109947443008423\n",
            "Step 700: cost=0.8110522627830505\n",
            "Step 710: cost=0.8110721111297607\n",
            "Step 720: cost=0.8110355734825134\n",
            "Step 730: cost=0.8110179901123047\n",
            "Step 740: cost=0.8110251426696777\n",
            "Step 750: cost=0.8110067844390869\n",
            "Step 760: cost=0.8110107183456421\n",
            "Step 770: cost=0.811000645160675\n",
            "Step 780: cost=0.8110313415527344\n",
            "Step 790: cost=0.8109962940216064\n",
            "Step 800: cost=0.8110392689704895\n",
            "Step 810: cost=0.8109884262084961\n",
            "Step 820: cost=0.8110213875770569\n",
            "Step 830: cost=0.8110641241073608\n",
            "Step 840: cost=0.811034083366394\n",
            "Step 850: cost=0.8110188245773315\n",
            "Step 860: cost=0.8109990358352661\n",
            "Step 870: cost=0.8110678791999817\n",
            "Step 880: cost=0.8110281825065613\n",
            "Step 890: cost=0.811028242111206\n",
            "Step 900: cost=0.8110568523406982\n",
            "Step 910: cost=0.8110213279724121\n",
            "Step 920: cost=0.8109991550445557\n",
            "Step 930: cost=0.8110063672065735\n",
            "Step 940: cost=0.8110287189483643\n",
            "Step 950: cost=0.8110194802284241\n",
            "Step 960: cost=0.8110324144363403\n",
            "Step 970: cost=0.8110263347625732\n",
            "Step 980: cost=0.8110299110412598\n",
            "Step 990: cost=0.811021089553833\n",
            "Step 1000: cost=0.8109806180000305\n",
            "Step 10: cost=1.8004159927368164\n",
            "Step 20: cost=1.7685291767120361\n",
            "Step 30: cost=1.7294316291809082\n",
            "Step 40: cost=1.68911612033844\n",
            "Step 50: cost=1.655167579650879\n",
            "Step 60: cost=1.6210651397705078\n",
            "Step 70: cost=1.5838422775268555\n",
            "Step 80: cost=1.547243356704712\n",
            "Step 90: cost=1.518615484237671\n",
            "Step 100: cost=1.4909586906433105\n",
            "Step 110: cost=1.4606897830963135\n",
            "Step 120: cost=1.4267734289169312\n",
            "Step 130: cost=1.402829647064209\n",
            "Step 140: cost=1.37383234500885\n",
            "Step 150: cost=1.3453590869903564\n",
            "Step 160: cost=1.3184549808502197\n",
            "Step 170: cost=1.293696641921997\n",
            "Step 180: cost=1.271461844444275\n",
            "Step 190: cost=1.2453269958496094\n",
            "Step 200: cost=1.2210760116577148\n",
            "Step 210: cost=1.1985379457473755\n",
            "Step 220: cost=1.1763536930084229\n",
            "Step 230: cost=1.1534250974655151\n",
            "Step 240: cost=1.1324669122695923\n",
            "Step 250: cost=1.1121809482574463\n",
            "Step 260: cost=1.0912814140319824\n",
            "Step 270: cost=1.0720112323760986\n",
            "Step 280: cost=1.0542634725570679\n",
            "Step 290: cost=1.0337709188461304\n",
            "Step 300: cost=1.0157256126403809\n",
            "Step 310: cost=0.9992269277572632\n",
            "Step 320: cost=0.984044075012207\n",
            "Step 330: cost=0.9656226634979248\n",
            "Step 340: cost=0.9509809613227844\n",
            "Step 350: cost=0.9369603395462036\n",
            "Step 360: cost=0.9239175319671631\n",
            "Step 370: cost=0.9101391434669495\n",
            "Step 380: cost=0.898517370223999\n",
            "Step 390: cost=0.8867589235305786\n",
            "Step 400: cost=0.8765380382537842\n",
            "Step 410: cost=0.8674289584159851\n",
            "Step 420: cost=0.8587026000022888\n",
            "Step 430: cost=0.8507273197174072\n",
            "Step 440: cost=0.8438042998313904\n",
            "Step 450: cost=0.8372274041175842\n",
            "Step 460: cost=0.8320142030715942\n",
            "Step 470: cost=0.8271043300628662\n",
            "Step 480: cost=0.8236342072486877\n",
            "Step 490: cost=0.820780873298645\n",
            "Step 500: cost=0.8180416226387024\n",
            "Step 510: cost=0.8162693381309509\n",
            "Step 520: cost=0.8142045140266418\n",
            "Step 530: cost=0.8131413459777832\n",
            "Step 540: cost=0.8122634887695312\n",
            "Step 550: cost=0.8118768334388733\n",
            "Step 560: cost=0.811383843421936\n",
            "Step 570: cost=0.8111745119094849\n",
            "Step 580: cost=0.8111514449119568\n",
            "Step 590: cost=0.8110767602920532\n",
            "Step 600: cost=0.8110347390174866\n",
            "Step 610: cost=0.8110162615776062\n",
            "Step 620: cost=0.8110083341598511\n",
            "Step 630: cost=0.811030387878418\n",
            "Step 640: cost=0.8110580444335938\n",
            "Step 650: cost=0.8110636472702026\n",
            "Step 660: cost=0.8109964728355408\n",
            "Step 670: cost=0.8110467195510864\n",
            "Step 680: cost=0.8110184073448181\n",
            "Step 690: cost=0.811028242111206\n",
            "Step 700: cost=0.8110046982765198\n",
            "Step 710: cost=0.8110013604164124\n",
            "Step 720: cost=0.8110217452049255\n",
            "Step 730: cost=0.8110224604606628\n",
            "Step 740: cost=0.8110361695289612\n",
            "Step 750: cost=0.8110529184341431\n",
            "Step 760: cost=0.8109844326972961\n",
            "Step 770: cost=0.8110508322715759\n",
            "Step 780: cost=0.8110013008117676\n",
            "Step 790: cost=0.8110223412513733\n",
            "Step 800: cost=0.8110118508338928\n",
            "Step 810: cost=0.8110146522521973\n",
            "Step 820: cost=0.811024010181427\n",
            "Step 830: cost=0.8110864758491516\n",
            "Step 840: cost=0.8109778761863708\n",
            "Step 850: cost=0.8110005855560303\n",
            "Step 860: cost=0.8109781742095947\n",
            "Step 870: cost=0.8110620379447937\n",
            "Step 880: cost=0.8110237717628479\n",
            "Step 890: cost=0.811032772064209\n",
            "Step 900: cost=0.8110166192054749\n",
            "Step 910: cost=0.8110263347625732\n",
            "Step 920: cost=0.8109846711158752\n",
            "Step 930: cost=0.8109853267669678\n",
            "Step 940: cost=0.811009407043457\n",
            "Step 950: cost=0.8110134601593018\n",
            "Step 960: cost=0.8110484480857849\n",
            "Step 970: cost=0.811051607131958\n",
            "Step 980: cost=0.8110073208808899\n",
            "Step 990: cost=0.8110659718513489\n",
            "Step 1000: cost=0.8110083937644958\n",
            "50/5000\n",
            "Step 10: cost=1.8043354749679565\n",
            "Step 20: cost=1.76588773727417\n",
            "Step 30: cost=1.7280693054199219\n",
            "Step 40: cost=1.6889832019805908\n",
            "Step 50: cost=1.6518948078155518\n",
            "Step 60: cost=1.6215667724609375\n",
            "Step 70: cost=1.5836421251296997\n",
            "Step 80: cost=1.5493927001953125\n",
            "Step 90: cost=1.5194557905197144\n",
            "Step 100: cost=1.4886205196380615\n",
            "Step 110: cost=1.4586888551712036\n",
            "Step 120: cost=1.4323151111602783\n",
            "Step 130: cost=1.4007713794708252\n",
            "Step 140: cost=1.3733327388763428\n",
            "Step 150: cost=1.3467745780944824\n",
            "Step 160: cost=1.3189936876296997\n",
            "Step 170: cost=1.2957627773284912\n",
            "Step 180: cost=1.2682907581329346\n",
            "Step 190: cost=1.244133710861206\n",
            "Step 200: cost=1.2220187187194824\n",
            "Step 210: cost=1.1991454362869263\n",
            "Step 220: cost=1.1743251085281372\n",
            "Step 230: cost=1.1545546054840088\n",
            "Step 240: cost=1.1347637176513672\n",
            "Step 250: cost=1.11104154586792\n",
            "Step 260: cost=1.0893158912658691\n",
            "Step 270: cost=1.0707330703735352\n",
            "Step 280: cost=1.0517781972885132\n",
            "Step 290: cost=1.0330865383148193\n",
            "Step 300: cost=1.015820860862732\n",
            "Step 310: cost=0.9989452362060547\n",
            "Step 320: cost=0.9817229509353638\n",
            "Step 330: cost=0.9641777276992798\n",
            "Step 340: cost=0.9493043422698975\n",
            "Step 350: cost=0.9333019256591797\n",
            "Step 360: cost=0.9222040772438049\n",
            "Step 370: cost=0.9069640636444092\n",
            "Step 380: cost=0.8943505883216858\n",
            "Step 390: cost=0.8836708664894104\n",
            "Step 400: cost=0.8725429177284241\n",
            "Step 410: cost=0.8637391328811646\n",
            "Step 420: cost=0.8547179102897644\n",
            "Step 430: cost=0.8476059436798096\n",
            "Step 440: cost=0.8422168493270874\n",
            "Step 450: cost=0.8366137742996216\n",
            "Step 460: cost=0.8314090967178345\n",
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            "Step 530: cost=0.8138462901115417\n",
            "Step 540: cost=0.8130475282669067\n",
            "Step 550: cost=0.8121449947357178\n",
            "Step 560: cost=0.8117608428001404\n",
            "Step 570: cost=0.8113523721694946\n",
            "Step 580: cost=0.8110788464546204\n",
            "Step 590: cost=0.8110694885253906\n",
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            "Step 640: cost=0.8110189437866211\n",
            "Step 650: cost=0.8110292553901672\n",
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            "Step 680: cost=0.8110407590866089\n",
            "Step 690: cost=0.8110317587852478\n",
            "Step 700: cost=0.8110037446022034\n",
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            "Step 720: cost=0.8109602928161621\n",
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            "Step 750: cost=0.81100994348526\n",
            "Step 760: cost=0.8109850883483887\n",
            "Step 770: cost=0.8109928369522095\n",
            "Step 780: cost=0.8110155463218689\n",
            "Step 790: cost=0.8110368251800537\n",
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            "Step 810: cost=0.8110058307647705\n",
            "Step 820: cost=0.81097811460495\n",
            "Step 830: cost=0.8110217452049255\n",
            "Step 840: cost=0.8110588192939758\n",
            "Step 850: cost=0.8110280632972717\n",
            "Step 860: cost=0.8110586404800415\n",
            "Step 870: cost=0.8110156059265137\n",
            "Step 880: cost=0.8110088109970093\n",
            "Step 890: cost=0.8109949231147766\n",
            "Step 900: cost=0.810990571975708\n",
            "Step 910: cost=0.8110301494598389\n",
            "Step 920: cost=0.8110144734382629\n",
            "Step 930: cost=0.811005175113678\n",
            "Step 940: cost=0.8109910488128662\n",
            "Step 950: cost=0.810991108417511\n",
            "Step 960: cost=0.811048686504364\n",
            "Step 970: cost=0.810973584651947\n",
            "Step 980: cost=0.8109924793243408\n",
            "Step 990: cost=0.8109601736068726\n",
            "Step 1000: cost=0.8110317587852478\n",
            "Step 10: cost=1.8195059299468994\n",
            "Step 20: cost=1.7796833515167236\n",
            "Step 30: cost=1.746526837348938\n",
            "Step 40: cost=1.7030832767486572\n",
            "Step 50: cost=1.6693334579467773\n",
            "Step 60: cost=1.6304373741149902\n",
            "Step 70: cost=1.5963208675384521\n",
            "Step 80: cost=1.5581218004226685\n",
            "Step 90: cost=1.5261988639831543\n",
            "Step 100: cost=1.4976252317428589\n",
            "Step 110: cost=1.4641122817993164\n",
            "Step 120: cost=1.4385161399841309\n",
            "Step 130: cost=1.4068198204040527\n",
            "Step 140: cost=1.3753654956817627\n",
            "Step 150: cost=1.3468294143676758\n",
            "Step 160: cost=1.3224797248840332\n",
            "Step 170: cost=1.2963274717330933\n",
            "Step 180: cost=1.2671265602111816\n",
            "Step 190: cost=1.2469868659973145\n",
            "Step 200: cost=1.2236225605010986\n",
            "Step 210: cost=1.198256492614746\n",
            "Step 220: cost=1.177039623260498\n",
            "Step 230: cost=1.1518864631652832\n",
            "Step 240: cost=1.1299506425857544\n",
            "Step 250: cost=1.1094398498535156\n",
            "Step 260: cost=1.0897878408432007\n",
            "Step 270: cost=1.0678174495697021\n",
            "Step 280: cost=1.049296498298645\n",
            "Step 290: cost=1.030151605606079\n",
            "Step 300: cost=1.010900855064392\n",
            "Step 310: cost=0.9926376342773438\n",
            "Step 320: cost=0.9746571779251099\n",
            "Step 330: cost=0.9585782289505005\n",
            "Step 340: cost=0.9434566497802734\n",
            "Step 350: cost=0.9291467070579529\n",
            "Step 360: cost=0.9159972071647644\n",
            "Step 370: cost=0.9033149480819702\n",
            "Step 380: cost=0.8907570838928223\n",
            "Step 390: cost=0.8811931610107422\n",
            "Step 400: cost=0.8709142208099365\n",
            "Step 410: cost=0.862464427947998\n",
            "Step 420: cost=0.8550326228141785\n",
            "Step 430: cost=0.8479973077774048\n",
            "Step 440: cost=0.8409803509712219\n",
            "Step 450: cost=0.8354076147079468\n",
            "Step 460: cost=0.8300317525863647\n",
            "Step 470: cost=0.8256289958953857\n",
            "Step 480: cost=0.8220449090003967\n",
            "Step 490: cost=0.8188489675521851\n",
            "Step 500: cost=0.8165594935417175\n",
            "Step 510: cost=0.8148345947265625\n",
            "Step 520: cost=0.8136322498321533\n",
            "Step 530: cost=0.8126433491706848\n",
            "Step 540: cost=0.8120429515838623\n",
            "Step 550: cost=0.8117406964302063\n",
            "Step 560: cost=0.8115228414535522\n",
            "Step 570: cost=0.8111947178840637\n",
            "Step 580: cost=0.8111273050308228\n",
            "Step 590: cost=0.8110494017601013\n",
            "Step 600: cost=0.8110184073448181\n",
            "Step 610: cost=0.8110270500183105\n",
            "Step 620: cost=0.8109971880912781\n",
            "Step 630: cost=0.8110236525535583\n",
            "Step 640: cost=0.8110306262969971\n",
            "Step 650: cost=0.8110525012016296\n",
            "Step 660: cost=0.8109909296035767\n",
            "Step 670: cost=0.8109832406044006\n",
            "Step 680: cost=0.8110039830207825\n",
            "Step 690: cost=0.8109984993934631\n",
            "Step 700: cost=0.811012327671051\n",
            "Step 710: cost=0.8110601902008057\n",
            "Step 720: cost=0.8110330700874329\n",
            "Step 730: cost=0.8109889030456543\n",
            "Step 740: cost=0.810969889163971\n",
            "Step 750: cost=0.8110098838806152\n",
            "Step 760: cost=0.8109891414642334\n",
            "Step 770: cost=0.8109736442565918\n",
            "Step 780: cost=0.8109900951385498\n",
            "Step 790: cost=0.8110001087188721\n",
            "Step 800: cost=0.8110113143920898\n",
            "Step 810: cost=0.8110134601593018\n",
            "Step 820: cost=0.810977041721344\n",
            "Step 830: cost=0.811007559299469\n",
            "Step 840: cost=0.8110469579696655\n",
            "Step 850: cost=0.8110404014587402\n",
            "Step 860: cost=0.8109804391860962\n",
            "Step 870: cost=0.8109794855117798\n",
            "Step 880: cost=0.8110303282737732\n",
            "Step 890: cost=0.8110638856887817\n",
            "Step 900: cost=0.8109865188598633\n",
            "Step 910: cost=0.8110494017601013\n",
            "Step 920: cost=0.8109632730484009\n",
            "Step 930: cost=0.8110126256942749\n",
            "Step 940: cost=0.811002790927887\n",
            "Step 950: cost=0.8109978437423706\n",
            "Step 960: cost=0.8109837174415588\n",
            "Step 970: cost=0.8110014200210571\n",
            "Step 980: cost=0.8110228180885315\n",
            "Step 990: cost=0.810994565486908\n",
            "Step 1000: cost=0.8109626173973083\n",
            "Step 10: cost=1.8180608749389648\n",
            "Step 20: cost=1.7819297313690186\n",
            "Step 30: cost=1.74526846408844\n",
            "Step 40: cost=1.7011635303497314\n",
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            "Step 60: cost=1.630798578262329\n",
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            "Step 80: cost=1.5579596757888794\n",
            "Step 90: cost=1.5255037546157837\n",
            "Step 100: cost=1.4971280097961426\n",
            "Step 110: cost=1.46376371383667\n",
            "Step 120: cost=1.4338531494140625\n",
            "Step 130: cost=1.4048395156860352\n",
            "Step 140: cost=1.3794646263122559\n",
            "Step 150: cost=1.3502109050750732\n",
            "Step 160: cost=1.322049617767334\n",
            "Step 170: cost=1.2968990802764893\n",
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            "Step 190: cost=1.245266079902649\n",
            "Step 200: cost=1.2219913005828857\n",
            "Step 210: cost=1.1988799571990967\n",
            "Step 220: cost=1.173466444015503\n",
            "Step 230: cost=1.1531929969787598\n",
            "Step 240: cost=1.129337191581726\n",
            "Step 250: cost=1.1085574626922607\n",
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            "Step 270: cost=1.06764554977417\n",
            "Step 280: cost=1.0459040403366089\n",
            "Step 290: cost=1.0266989469528198\n",
            "Step 300: cost=1.0097453594207764\n",
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            "Step 1000: cost=0.8110576272010803\n",
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            "Step 870: cost=0.8109857439994812\n",
            "Step 880: cost=0.8109529614448547\n",
            "Step 890: cost=0.810989499092102\n",
            "Step 900: cost=0.8110141158103943\n",
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            "Step 970: cost=0.811011552810669\n",
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            "Step 1000: cost=0.8109904527664185\n",
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            "Step 60: cost=1.6210646629333496\n",
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            "Step 90: cost=1.524169921875\n",
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            "Step 200: cost=1.2177995443344116\n",
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            "Step 220: cost=1.174231767654419\n",
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            "Step 330: cost=0.9639847874641418\n",
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            "Step 740: cost=0.8109890222549438\n",
            "Step 750: cost=0.8110363483428955\n",
            "Step 760: cost=0.8110415935516357\n",
            "Step 770: cost=0.8110399842262268\n",
            "Step 780: cost=0.811007022857666\n",
            "Step 790: cost=0.811005175113678\n",
            "Step 800: cost=0.8110505938529968\n",
            "Step 810: cost=0.8110228180885315\n",
            "Step 820: cost=0.8110318779945374\n",
            "Step 830: cost=0.8110597729682922\n",
            "Step 840: cost=0.8110277652740479\n",
            "Step 850: cost=0.8110379576683044\n",
            "Step 860: cost=0.8110350966453552\n",
            "Step 870: cost=0.810999870300293\n",
            "Step 880: cost=0.8110545873641968\n",
            "Step 890: cost=0.8110374212265015\n",
            "Step 900: cost=0.8109784722328186\n",
            "Step 910: cost=0.8109872341156006\n",
            "Step 920: cost=0.8109714388847351\n",
            "Step 930: cost=0.810982882976532\n",
            "Step 940: cost=0.8110356330871582\n",
            "Step 950: cost=0.8110238313674927\n",
            "Step 960: cost=0.811028003692627\n",
            "Step 970: cost=0.8109603524208069\n",
            "Step 980: cost=0.8110083341598511\n",
            "Step 990: cost=0.8110150694847107\n",
            "Step 1000: cost=0.8110402822494507\n",
            "60/5000\n",
            "Step 10: cost=1.8168799877166748\n",
            "Step 20: cost=1.7734441757202148\n",
            "Step 30: cost=1.7367067337036133\n",
            "Step 40: cost=1.6985095739364624\n",
            "Step 50: cost=1.662805438041687\n",
            "Step 60: cost=1.6213661432266235\n",
            "Step 70: cost=1.5926480293273926\n",
            "Step 80: cost=1.5600101947784424\n",
            "Step 90: cost=1.524202585220337\n",
            "Step 100: cost=1.4960253238677979\n",
            "Step 110: cost=1.4640300273895264\n",
            "Step 120: cost=1.4352223873138428\n",
            "Step 130: cost=1.4035015106201172\n",
            "Step 140: cost=1.3774588108062744\n",
            "Step 150: cost=1.349487066268921\n",
            "Step 160: cost=1.321990728378296\n",
            "Step 170: cost=1.297247290611267\n",
            "Step 180: cost=1.2708009481430054\n",
            "Step 190: cost=1.246046781539917\n",
            "Step 200: cost=1.2241744995117188\n",
            "Step 210: cost=1.1979947090148926\n",
            "Step 220: cost=1.1775426864624023\n",
            "Step 230: cost=1.153722882270813\n",
            "Step 240: cost=1.133249282836914\n",
            "Step 250: cost=1.108925700187683\n",
            "Step 260: cost=1.091876745223999\n",
            "Step 270: cost=1.0720199346542358\n",
            "Step 280: cost=1.050718903541565\n",
            "Step 290: cost=1.0312353372573853\n",
            "Step 300: cost=1.0143799781799316\n",
            "Step 310: cost=0.9942445158958435\n",
            "Step 320: cost=0.9787859320640564\n",
            "Step 330: cost=0.9625308513641357\n",
            "Step 340: cost=0.9468080997467041\n",
            "Step 350: cost=0.932759165763855\n",
            "Step 360: cost=0.919714093208313\n",
            "Step 370: cost=0.9073046445846558\n",
            "Step 380: cost=0.895117998123169\n",
            "Step 390: cost=0.8837113380432129\n",
            "Step 400: cost=0.8744109272956848\n",
            "Step 410: cost=0.8666300177574158\n",
            "Step 420: cost=0.8581980466842651\n",
            "Step 430: cost=0.8502274751663208\n",
            "Step 440: cost=0.8437358736991882\n",
            "Step 450: cost=0.8371868133544922\n",
            "Step 460: cost=0.8323665261268616\n",
            "Step 470: cost=0.8276533484458923\n",
            "Step 480: cost=0.8233697414398193\n",
            "Step 490: cost=0.8203641176223755\n",
            "Step 500: cost=0.817497968673706\n",
            "Step 510: cost=0.8157152533531189\n",
            "Step 520: cost=0.8139461874961853\n",
            "Step 530: cost=0.8126401901245117\n",
            "Step 540: cost=0.8118442296981812\n",
            "Step 550: cost=0.8112785220146179\n",
            "Step 560: cost=0.8111892938613892\n",
            "Step 570: cost=0.8110486268997192\n",
            "Step 580: cost=0.810992419719696\n",
            "Step 590: cost=0.8110113143920898\n",
            "Step 600: cost=0.8109837174415588\n",
            "Step 610: cost=0.811021089553833\n",
            "Step 620: cost=0.8110283613204956\n",
            "Step 630: cost=0.8110275864601135\n",
            "Step 640: cost=0.8110159039497375\n",
            "Step 650: cost=0.8109683990478516\n",
            "Step 660: cost=0.8109583258628845\n",
            "Step 670: cost=0.8109921216964722\n",
            "Step 680: cost=0.8110219836235046\n",
            "Step 690: cost=0.8110418915748596\n",
            "Step 700: cost=0.8110419511795044\n",
            "Step 710: cost=0.8110147714614868\n",
            "Step 720: cost=0.8109848499298096\n",
            "Step 730: cost=0.8110224008560181\n",
            "Step 740: cost=0.81110680103302\n",
            "Step 750: cost=0.8110350370407104\n",
            "Step 760: cost=0.8109852075576782\n",
            "Step 770: cost=0.8110077381134033\n",
            "Step 780: cost=0.8110519051551819\n",
            "Step 790: cost=0.8110405206680298\n",
            "Step 800: cost=0.8110430240631104\n",
            "Step 810: cost=0.8110424876213074\n",
            "Step 820: cost=0.811048150062561\n",
            "Step 830: cost=0.8109556436538696\n",
            "Step 840: cost=0.8109959363937378\n",
            "Step 850: cost=0.8110010623931885\n",
            "Step 860: cost=0.810977578163147\n",
            "Step 870: cost=0.8109918236732483\n",
            "Step 880: cost=0.8109705448150635\n",
            "Step 890: cost=0.8110262155532837\n",
            "Step 900: cost=0.8109639883041382\n",
            "Step 910: cost=0.8110141754150391\n",
            "Step 920: cost=0.8110188841819763\n",
            "Step 930: cost=0.8110098838806152\n",
            "Step 940: cost=0.8110384345054626\n",
            "Step 950: cost=0.8110101222991943\n",
            "Step 960: cost=0.8110837936401367\n",
            "Step 970: cost=0.8110169172286987\n",
            "Step 980: cost=0.8110058903694153\n",
            "Step 990: cost=0.8110293745994568\n",
            "Step 1000: cost=0.8110045194625854\n",
            "Step 10: cost=1.81215500831604\n",
            "Step 20: cost=1.7758147716522217\n",
            "Step 30: cost=1.7348841428756714\n",
            "Step 40: cost=1.6961379051208496\n",
            "Step 50: cost=1.6575279235839844\n",
            "Step 60: cost=1.6267509460449219\n",
            "Step 70: cost=1.5954647064208984\n",
            "Step 80: cost=1.5533603429794312\n",
            "Step 90: cost=1.5235366821289062\n",
            "Step 100: cost=1.4910268783569336\n",
            "Step 110: cost=1.4610263109207153\n",
            "Step 120: cost=1.432087779045105\n",
            "Step 130: cost=1.4046448469161987\n",
            "Step 140: cost=1.3770713806152344\n",
            "Step 150: cost=1.3468914031982422\n",
            "Step 160: cost=1.3205265998840332\n",
            "Step 170: cost=1.293975591659546\n",
            "Step 180: cost=1.2682313919067383\n",
            "Step 190: cost=1.2434337139129639\n",
            "Step 200: cost=1.2167747020721436\n",
            "Step 210: cost=1.1955442428588867\n",
            "Step 220: cost=1.1739262342453003\n",
            "Step 230: cost=1.1482503414154053\n",
            "Step 240: cost=1.1288843154907227\n",
            "Step 250: cost=1.1075752973556519\n",
            "Step 260: cost=1.0868580341339111\n",
            "Step 270: cost=1.0669715404510498\n",
            "Step 280: cost=1.0473448038101196\n",
            "Step 290: cost=1.0289138555526733\n",
            "Step 300: cost=1.0097887516021729\n",
            "Step 310: cost=0.9935740828514099\n",
            "Step 320: cost=0.9773669838905334\n",
            "Step 330: cost=0.9615844488143921\n",
            "Step 340: cost=0.9473135471343994\n",
            "Step 350: cost=0.9334002137184143\n",
            "Step 360: cost=0.9196186661720276\n",
            "Step 370: cost=0.9072654247283936\n",
            "Step 380: cost=0.896783173084259\n",
            "Step 390: cost=0.8865252733230591\n",
            "Step 400: cost=0.8763317465782166\n",
            "Step 410: cost=0.8672745227813721\n",
            "Step 420: cost=0.8581635355949402\n",
            "Step 430: cost=0.8507367968559265\n",
            "Step 440: cost=0.8436827063560486\n",
            "Step 450: cost=0.8374972939491272\n",
            "Step 460: cost=0.8310750722885132\n",
            "Step 470: cost=0.8260277509689331\n",
            "Step 480: cost=0.8222088813781738\n",
            "Step 490: cost=0.8188825249671936\n",
            "Step 500: cost=0.8171656131744385\n",
            "Step 510: cost=0.8154191374778748\n",
            "Step 520: cost=0.8142302632331848\n",
            "Step 530: cost=0.8133096694946289\n",
            "Step 540: cost=0.812662661075592\n",
            "Step 550: cost=0.8120935559272766\n",
            "Step 560: cost=0.8118805885314941\n",
            "Step 570: cost=0.8114855289459229\n",
            "Step 580: cost=0.8113924264907837\n",
            "Step 590: cost=0.8112473487854004\n",
            "Step 600: cost=0.8111448287963867\n",
            "Step 610: cost=0.811038076877594\n",
            "Step 620: cost=0.8110459446907043\n",
            "Step 630: cost=0.8110628128051758\n",
            "Step 640: cost=0.8110460638999939\n",
            "Step 650: cost=0.8109554052352905\n",
            "Step 660: cost=0.8110108971595764\n",
            "Step 670: cost=0.8110193014144897\n",
            "Step 680: cost=0.8110315799713135\n",
            "Step 690: cost=0.8110499382019043\n",
            "Step 700: cost=0.8110201954841614\n",
            "Step 710: cost=0.8109793663024902\n",
            "Step 720: cost=0.8110206723213196\n",
            "Step 730: cost=0.8110010027885437\n",
            "Step 740: cost=0.8109535574913025\n",
            "Step 750: cost=0.8110052347183228\n",
            "Step 760: cost=0.8110609650611877\n",
            "Step 770: cost=0.8110173940658569\n",
            "Step 780: cost=0.8110294938087463\n",
            "Step 790: cost=0.8110330104827881\n",
            "Step 800: cost=0.8110247850418091\n",
            "Step 810: cost=0.8110146522521973\n",
            "Step 820: cost=0.8110339641571045\n",
            "Step 830: cost=0.8109909296035767\n",
            "Step 840: cost=0.811020016670227\n",
            "Step 850: cost=0.8110224008560181\n",
            "Step 860: cost=0.8110049366950989\n",
            "Step 870: cost=0.810997486114502\n",
            "Step 880: cost=0.8110266327857971\n",
            "Step 890: cost=0.8110092282295227\n",
            "Step 900: cost=0.8110218048095703\n",
            "Step 910: cost=0.8110337853431702\n",
            "Step 920: cost=0.8110182881355286\n",
            "Step 930: cost=0.8110365271568298\n",
            "Step 940: cost=0.8109940886497498\n",
            "Step 950: cost=0.8110082745552063\n",
            "Step 960: cost=0.8109741806983948\n",
            "Step 970: cost=0.8110106587409973\n",
            "Step 980: cost=0.8110078573226929\n",
            "Step 990: cost=0.8110295534133911\n",
            "Step 1000: cost=0.8110111355781555\n",
            "Step 10: cost=1.811330795288086\n",
            "Step 20: cost=1.7718186378479004\n",
            "Step 30: cost=1.735368251800537\n",
            "Step 40: cost=1.698046088218689\n",
            "Step 50: cost=1.65838623046875\n",
            "Step 60: cost=1.6237366199493408\n",
            "Step 70: cost=1.587380051612854\n",
            "Step 80: cost=1.5530693531036377\n",
            "Step 90: cost=1.5242481231689453\n",
            "Step 100: cost=1.4913949966430664\n",
            "Step 110: cost=1.4602715969085693\n",
            "Step 120: cost=1.4304654598236084\n",
            "Step 130: cost=1.4034016132354736\n",
            "Step 140: cost=1.3739495277404785\n",
            "Step 150: cost=1.3439793586730957\n",
            "Step 160: cost=1.319481611251831\n",
            "Step 170: cost=1.2929743528366089\n",
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            "Step 190: cost=1.2432219982147217\n",
            "Step 200: cost=1.2213952541351318\n",
            "Step 210: cost=1.2006045579910278\n",
            "Step 220: cost=1.1746011972427368\n",
            "Step 230: cost=1.1528536081314087\n",
            "Step 240: cost=1.1297968626022339\n",
            "Step 250: cost=1.1109811067581177\n",
            "Step 260: cost=1.0902125835418701\n",
            "Step 270: cost=1.0694670677185059\n",
            "Step 280: cost=1.0480269193649292\n",
            "Step 290: cost=1.0292816162109375\n",
            "Step 300: cost=1.0117344856262207\n",
            "Step 310: cost=0.9925730228424072\n",
            "Step 320: cost=0.9773000478744507\n",
            "Step 330: cost=0.9604102969169617\n",
            "Step 340: cost=0.9468719959259033\n",
            "Step 350: cost=0.9313219785690308\n",
            "Step 360: cost=0.9189524054527283\n",
            "Step 370: cost=0.9054948687553406\n",
            "Step 380: cost=0.8935610055923462\n",
            "Step 390: cost=0.8818680047988892\n",
            "Step 400: cost=0.873131275177002\n",
            "Step 410: cost=0.8643794059753418\n",
            "Step 420: cost=0.8568412065505981\n",
            "Step 430: cost=0.8497996926307678\n",
            "Step 440: cost=0.8442935347557068\n",
            "Step 450: cost=0.8381010293960571\n",
            "Step 460: cost=0.8329712748527527\n",
            "Step 470: cost=0.8290832042694092\n",
            "Step 480: cost=0.8250597715377808\n",
            "Step 490: cost=0.8221437335014343\n",
            "Step 500: cost=0.8195067048072815\n",
            "Step 510: cost=0.81772780418396\n",
            "Step 520: cost=0.8158681392669678\n",
            "Step 530: cost=0.8143978118896484\n",
            "Step 540: cost=0.8131957054138184\n",
            "Step 550: cost=0.8124904632568359\n",
            "Step 560: cost=0.8118702173233032\n",
            "Step 570: cost=0.8115728497505188\n",
            "Step 580: cost=0.811393678188324\n",
            "Step 590: cost=0.8112532496452332\n",
            "Step 600: cost=0.8111888766288757\n",
            "Step 610: cost=0.8111056685447693\n",
            "Step 620: cost=0.8110431432723999\n",
            "Step 630: cost=0.8110024333000183\n",
            "Step 640: cost=0.811013400554657\n",
            "Step 650: cost=0.8109849095344543\n",
            "Step 660: cost=0.8110243678092957\n",
            "Step 670: cost=0.8110342025756836\n",
            "Step 680: cost=0.8109669089317322\n",
            "Step 690: cost=0.8110154867172241\n",
            "Step 700: cost=0.811068058013916\n",
            "Step 710: cost=0.8110008239746094\n",
            "Step 720: cost=0.8109540343284607\n",
            "Step 730: cost=0.811013400554657\n",
            "Step 740: cost=0.810950756072998\n",
            "Step 750: cost=0.810994029045105\n",
            "Step 760: cost=0.8110230565071106\n",
            "Step 770: cost=0.8110272288322449\n",
            "Step 780: cost=0.8109548091888428\n",
            "Step 790: cost=0.8110052943229675\n",
            "Step 800: cost=0.8110338449478149\n",
            "Step 810: cost=0.8109952807426453\n",
            "Step 820: cost=0.8110604882240295\n",
            "Step 830: cost=0.8109997510910034\n",
            "Step 840: cost=0.810979962348938\n",
            "Step 850: cost=0.8110376000404358\n",
            "Step 860: cost=0.8110297322273254\n",
            "Step 870: cost=0.810989499092102\n",
            "Step 880: cost=0.8110389113426208\n",
            "Step 890: cost=0.8109807372093201\n",
            "Step 900: cost=0.8110185265541077\n",
            "Step 910: cost=0.8110538125038147\n",
            "Step 920: cost=0.8110037446022034\n",
            "Step 930: cost=0.8109754920005798\n",
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            "Step 950: cost=0.8110036849975586\n",
            "Step 960: cost=0.8109381198883057\n",
            "Step 970: cost=0.8109610080718994\n",
            "Step 980: cost=0.8110296130180359\n",
            "Step 990: cost=0.8110222220420837\n",
            "Step 1000: cost=0.8110029697418213\n",
            "Step 10: cost=1.8261046409606934\n",
            "Step 20: cost=1.7843961715698242\n",
            "Step 30: cost=1.7443630695343018\n",
            "Step 40: cost=1.7039031982421875\n",
            "Step 50: cost=1.6642791032791138\n",
            "Step 60: cost=1.6314008235931396\n",
            "Step 70: cost=1.59232759475708\n",
            "Step 80: cost=1.5565769672393799\n",
            "Step 90: cost=1.5306482315063477\n",
            "Step 100: cost=1.4978348016738892\n",
            "Step 110: cost=1.4672322273254395\n",
            "Step 120: cost=1.4335466623306274\n",
            "Step 130: cost=1.403599500656128\n",
            "Step 140: cost=1.3804177045822144\n",
            "Step 150: cost=1.3503296375274658\n",
            "Step 160: cost=1.3225120306015015\n",
            "Step 170: cost=1.2975399494171143\n",
            "Step 180: cost=1.2725824117660522\n",
            "Step 190: cost=1.2470707893371582\n",
            "Step 200: cost=1.2220818996429443\n",
            "Step 210: cost=1.1969094276428223\n",
            "Step 220: cost=1.1730035543441772\n",
            "Step 230: cost=1.1505494117736816\n",
            "Step 240: cost=1.1302506923675537\n",
            "Step 250: cost=1.1092523336410522\n",
            "Step 260: cost=1.0872653722763062\n",
            "Step 270: cost=1.0699915885925293\n",
            "Step 280: cost=1.0467408895492554\n",
            "Step 290: cost=1.0268168449401855\n",
            "Step 300: cost=1.0079532861709595\n",
            "Step 310: cost=0.9917573928833008\n",
            "Step 320: cost=0.9759745597839355\n",
            "Step 330: cost=0.9584002494812012\n",
            "Step 340: cost=0.9434796571731567\n",
            "Step 350: cost=0.9278417825698853\n",
            "Step 360: cost=0.9157429337501526\n",
            "Step 370: cost=0.9031134247779846\n",
            "Step 380: cost=0.891148567199707\n",
            "Step 390: cost=0.8800739645957947\n",
            "Step 400: cost=0.8701905012130737\n",
            "Step 410: cost=0.8609533309936523\n",
            "Step 420: cost=0.8532459139823914\n",
            "Step 430: cost=0.8467519283294678\n",
            "Step 440: cost=0.8400715589523315\n",
            "Step 450: cost=0.8340811729431152\n",
            "Step 460: cost=0.8290430903434753\n",
            "Step 470: cost=0.824920654296875\n",
            "Step 480: cost=0.8208090662956238\n",
            "Step 490: cost=0.8179901242256165\n",
            "Step 500: cost=0.8156687617301941\n",
            "Step 510: cost=0.8135854005813599\n",
            "Step 520: cost=0.812485933303833\n",
            "Step 530: cost=0.8116768598556519\n",
            "Step 540: cost=0.8113295435905457\n",
            "Step 550: cost=0.8111631274223328\n",
            "Step 560: cost=0.8111081719398499\n",
            "Step 570: cost=0.8110584020614624\n",
            "Step 580: cost=0.8110593557357788\n",
            "Step 590: cost=0.8109592199325562\n",
            "Step 600: cost=0.8110266327857971\n",
            "Step 610: cost=0.811026394367218\n",
            "Step 620: cost=0.8110559582710266\n",
            "Step 630: cost=0.8110219836235046\n",
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            "Step 880: cost=0.8110231757164001\n",
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            "Step 980: cost=0.8109758496284485\n",
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            "Step 1000: cost=0.8110063076019287\n",
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            "Step 100: cost=1.4947431087493896\n",
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            "Step 130: cost=1.399583339691162\n",
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            "Step 150: cost=1.3479894399642944\n",
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            "Step 170: cost=1.295688271522522\n",
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            "Step 230: cost=1.1531858444213867\n",
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            "Step 250: cost=1.1104731559753418\n",
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            "Step 280: cost=1.0528169870376587\n",
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            "Step 460: cost=0.8296970129013062\n",
            "Step 470: cost=0.8254770636558533\n",
            "Step 480: cost=0.8216995596885681\n",
            "Step 490: cost=0.8190307021141052\n",
            "Step 500: cost=0.8168036937713623\n",
            "Step 510: cost=0.815155565738678\n",
            "Step 520: cost=0.8138132095336914\n",
            "Step 530: cost=0.8129101991653442\n",
            "Step 540: cost=0.8123086094856262\n",
            "Step 550: cost=0.8119143843650818\n",
            "Step 560: cost=0.8116493821144104\n",
            "Step 570: cost=0.8113681077957153\n",
            "Step 580: cost=0.8112080097198486\n",
            "Step 590: cost=0.8110944032669067\n",
            "Step 600: cost=0.8110618591308594\n",
            "Step 610: cost=0.811052680015564\n",
            "Step 620: cost=0.8109796643257141\n",
            "Step 630: cost=0.8110067844390869\n",
            "Step 640: cost=0.8109948039054871\n",
            "Step 650: cost=0.8109753727912903\n",
            "Step 660: cost=0.8110102415084839\n",
            "Step 670: cost=0.8109980225563049\n",
            "Step 680: cost=0.8110247254371643\n",
            "Step 690: cost=0.8109859228134155\n",
            "Step 700: cost=0.8110080361366272\n",
            "Step 710: cost=0.8109800219535828\n",
            "Step 720: cost=0.8109813332557678\n",
            "Step 730: cost=0.8110514879226685\n",
            "Step 740: cost=0.811015784740448\n",
            "Step 750: cost=0.8110014796257019\n",
            "Step 760: cost=0.8110373616218567\n",
            "Step 770: cost=0.8110371828079224\n",
            "Step 780: cost=0.8110352754592896\n",
            "Step 790: cost=0.8109958171844482\n",
            "Step 800: cost=0.8110066056251526\n",
            "Step 810: cost=0.8109412789344788\n",
            "Step 820: cost=0.8109821081161499\n",
            "Step 830: cost=0.8110281825065613\n",
            "Step 840: cost=0.8109937310218811\n",
            "Step 850: cost=0.8109992146492004\n",
            "Step 860: cost=0.8110390305519104\n",
            "Step 870: cost=0.8110591769218445\n",
            "Step 880: cost=0.8109995722770691\n",
            "Step 890: cost=0.8110007047653198\n",
            "Step 900: cost=0.8110066056251526\n",
            "Step 910: cost=0.8110148906707764\n",
            "Step 920: cost=0.8110064268112183\n",
            "Step 930: cost=0.8110039234161377\n",
            "Step 940: cost=0.8110060691833496\n",
            "Step 950: cost=0.8110072612762451\n",
            "Step 960: cost=0.8110189437866211\n",
            "Step 970: cost=0.8109888434410095\n",
            "Step 980: cost=0.8110151290893555\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XFdf8_HAdcvt",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "print(\"Preparing training and eval data.\")\n",
        "example_image_array = synthesized_images[0,:,:,0] - np.amin(synthesized_images[0,:,:,0])\n",
        "example_image_array = ((example_image_array * 255.0)/np.amax(example_image_array)).astype(np.uint8)\n",
        "img = Image.fromarray(example_image_array,'L')\n",
        "img.save(trojan_checkpoint_dir + '/example_image.png')"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "75MEcE08mP7w",
        "colab_type": "text"
      },
      "source": [
        "    Preparing training and eval data.  \n",
        "    Done."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "U7iLrY72dyIU",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "np.save(\"synthesized_data.npy\", synthesized_images)\n",
        "np.save(\"synthesized_labels.npy\", labels)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AosucNqX1cBy",
        "colab_type": "text"
      },
      "source": [
        "### References\n",
        "\n",
        "<small>Liu, Yingqi, et al. \"Trojaning attack on neural networks.\" (2017).  \n",
        "Liu, T., Wen, W., & Jin, Y. (2018, April). SIN 2: Stealth infection on neural network—a low-cost agile neural trojan attack methodology. In 2018 IEEE International Symposium on Hardware Oriented Security and Trust (HOST) (pp. 227-230). IEEE.  \n",
        "Serban, Alexandru Constantin, and Erik Poll. \"Adversarial examples-a complete characterisation of the phenomenon.\" arXiv preprint arXiv:1810.01185 (2018).\n",
        "</small>"
      ]
    }
  ]
}