From f6461a167dd9b70589357216adaeaabd9936242d Mon Sep 17 00:00:00 2001 From: "Christopher M. Pierce" Date: Thu, 12 Mar 2026 18:27:12 -0700 Subject: [PATCH 1/8] starting metrics plotting code --- example_notebooks/plotting_metrics.ipynb | 68 ++++++++++++++++++++++++ src/paretobench/metrics.py | 10 ++++ src/paretobench/plotting/metrics.py | 30 +++++++++++ 3 files changed, 108 insertions(+) create mode 100644 example_notebooks/plotting_metrics.ipynb create mode 100644 src/paretobench/plotting/metrics.py diff --git a/example_notebooks/plotting_metrics.ipynb b/example_notebooks/plotting_metrics.ipynb new file mode 100644 index 0000000..5b412a6 --- /dev/null +++ b/example_notebooks/plotting_metrics.ipynb @@ -0,0 +1,68 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 9, + "id": "187977c8", + "metadata": {}, + "outputs": [], + "source": [ + "import paretobench as pb\n", + "from paretobench.plotting.metrics import plot_metric_history\n", + "from paretobench.metrics import Hypervolume" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "d05faebb", + "metadata": {}, + "outputs": [], + "source": [ + "exp = pb.Experiment.load(\"data/NSGAII.h5\")" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "17b44a70", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+s+8MRr/zI04VlCLQxx3/fbgP/jm6O4MOEZEVZA07Op0O8fHxeOedd+rd379/f7zyyiv1nmPWrFn45ptvsHHjRuzduxe5ubkYM2aMvUomcohcTTkmfngA//r2T1QajEi8MQSpM+/E4BtC5C6NiKjVkbUbKzk5GcnJyfXuf+ihhwAAZ8+erXN/cXExPvroI3z22WcYPHgwAGD16tW48cYb8fPPP+PWW2+1ec1E9vb1H7l4fvMRaCuq4enmgkUju2J830jeUk5E1ESteszOb7/9hqqqKiQmJkrbbrjhBkRFRWH//v31hh29Xg+9Xi8912q1dq+VqDHF5VVY/NVRbEnPBQDER/ph5bheiAn0lrkyIqLWrVWHnfz8fLi7u8PPz89se0hICPLz8+t93dKlS/HCCy/YuToiy/3812XM+fwPnNeUQyEATw6Ow1ODO8HNRdaeZiIip9Am/5d0/vz5KC4ulh7Z2dlyl0RtVGW1Ecu2/YkHPvgZ5zXliArwwsZpt2H2XZ0ZdIiIbKRVt+yEhoaisrISGo3GrHWnoKAAoaGh9b5OqVRCqVQ6oEKi+p0uKMGM9ek4nlfTjTquTyQWjuwKH2Wr/rMkImpxWvX/dezduzfc3NyQlpYmbTt58iSysrKQkJAgY2VE9RNFESk/ZmLEWz/geJ4W/l5ueP/B3njlvp4MOkREdiDr/7KWlpYiIyNDep6ZmYn09HQEBAQgKioKhYWFyMrKQm5uzYDNkydPAqhp0QkNDYVarcaUKVMwe/ZsBAQEQKVS4amnnkJCQgLvxKIW6YK2AnO/OIx9py4CAO7sHITX7uuJYJWHzJURETkvQRRFUa4337NnDwYNGlRr+6RJk5CSkoKUlBQ88sgjtfYvXrwYS5YsAVAzqeCcOXOwbt066PV6JCUl4d13322wG+t6Wq0WarUaxcXFUKlUTf48RA1JPZqH+ZuOoKisCkpXBZ67+0b8PSGat5QTETWRpd/fsoadloJhh+ypVF+NF785hs8P5gAAuoap8Ob4XogL8ZW5MiKi1s3S728OECCyA21FFc5e0uF0QSneTDuNrMIyCAIwbUBHzErsDHfXVj1cjoioVWHYIWqiiioDzl0uQ+alUvx1SYezl3TIvPK4VFppdmx7P0+8MTYe/WLbyVQtEVHbxbBD1IBqgxE5ReXIvKSrFWhyi8vRUCdwoI8SsYHe6BXlhycHd4LKw81xhRMRkYRhh9o8o1FEQUkFMi/WDjRZhWWoNtafaHw9XBEb6I2YQG/EBPqgQ6AXYq/868twQ0TUIjDsUJsgiiKKyqpqupwu6nD2ck2Y+euiDucul6G8ylDvaz3cFOjQzhRozB8B3u68m4qIqIVj2KFWSRRFlOirUVxWheLy2g/Nle3a8irkaMpx9pIOxeVV9Z7PVSEgKsALMYHe6HAlyMRe+TlU5QGFgoGGiKi1Ytgh2YiiCF2loSagSKGlss7QYgouxeVV0Fz5uYHepXq19/O8Emi8EBPoI3VBtff35FpUREROimGHbK6y2oizl3U4VVCCMxd0uKzT12ptMQWYhsbDWMLDTQG1p9s1D/frnrsiROWB2CAfRLfzgoebi40+JRERtRYMO9RkFVUG/HVRh9MXSpBxoRSnC0px+kIJzl4ug8GKEOPuooDK0w1+Xm7XBZXaj2uPUXm6MbwQEVGjGHaoUeWVBpy5WBNkTheU4lRBKTIulCCrsKzeriRfpSs6hfigU5APQtUetYOLlxv8rrTCeLgpOMiXiIjshmGHJKX66istNFdaai7UBJycovrnk1F7uqFziA86BfsiLtgHcSE+iAv2RYhKyQBDREQtAsNOG1RcXoWMCzWtMzVdT6XIuFCK85ryel/Tztsdna4JM3HBPugU4oMgH4YaIiJq2Rh2nJgoivgjpxjHc7U4JbXWlKBAq6/3NUG+ypoWmmAfxIVcCTXBPmjno3Rg5URERLbDsOPE1v+ajfmbjtS5L0ztUdNSE+x7pbWmJtT4ebk7uEoiIiL7YthxYoeyigAAN4T64o64QMQF+9YMGg724TpNRETUZjDsOLHswpoxOFPvjMWYmyNkroaIiEgenDLWieVoygAAkQFeMldCREQkn2aFHb2+/oGuJK9qgxG5mgoAQIS/p8zVEBERyceqsLNt2zZMmjQJsbGxcHNzg5eXF1QqFQYMGICXX34Zubm59qqTrJRXXAGDUYS7iwIhvh5yl0NERCQbi8LO5s2b0blzZ0yePBmurq545plnsGnTJmzfvh0ffvghBgwYgJ07dyI2NhbTpk3DxYsX7V03NSK7qKYLq72/J1fsJiKiNs2iAcrLly/HihUrkJycDIWidj4aO3YsAOD8+fN466238Mknn2DWrFm2rZSsknNlcDK7sIiIqK2zKOzs37/fopO1b98ey5Yta1ZBZBumlh0OTiYiorau2XdjGQwGpKeno6ioyBb1kI3kFNW07ET6M+wQEVHbZnXYmTlzJj766CMANUFnwIABuPnmmxEZGYk9e/bYuj5qouzCmpYddmMREVFbZ3XY+eKLLxAfHw8A+Oabb5CZmYk///wTs2bNwoIFC2xeIDUNu7GIiIhqWB12Ll26hNDQUADAt99+i/vvv1+6U+vIkbrXYSLHqqgySIt9RrJlh4iI2jirw05ISAiOHz8Og8GA1NRU3HXXXQCAsrIyuLi42LxAst55Tc14HS93FwR4c2FPIiJq26xeG+uRRx7B2LFjERYWBkEQkJiYCAA4cOAAbrjhBpsXSNYzjdeJ9PeCIHCOHSIiatusDjtLlixB9+7dkZ2djfvvvx9KpRIA4OLigmeffdbmBZL1pDuxAtiFRURE1KRVz++77z6z5xqNBpMmTbJJQdR8psHJEbztnIiIyPoxO6+88go2bNggPR87dizatWuHiIgIHD582KbFUdNw9mQiIqKrrA4777//PiIjIwEAO3bswI4dO7Bt2zYMGzYMc+fOtXmBZD3edk5ERHSV1d1Y+fn5UtjZunUrxo4di6FDh6JDhw7o16+fzQsk6107QJmIiKits7plx9/fH9nZ2QCA1NRU6W4sURRhMBhsWx1ZrVRfjaKyKgAcoExERAQ0oWVnzJgxmDBhAuLi4nD58mUkJycDAA4dOoROnTrZvECyTs6VLiw/Lzf4erjJXA0REZH8rA47K1asQIcOHZCdnY3ly5fDx8cHAJCXl4cnnnjC5gWSdbI5OJmIiMiM1WHHzc2tzoHIs2bNsklB1Dwcr0NERGTO6jE7APDxxx+jf//+CA8Px7lz5wAAK1euxFdffWXT4sh6vBOLiIjInNVh57333sPs2bORnJwMjUYjDUr28/PDypUrbV0fWcnUjcUFQImIiGpYHXbeeustfPDBB1iwYIHZwp99+vThquctgGmAcgRbdoiIiAA0IexkZmbipptuqrVdqVRCp9PZpChqGlEUr66LxTE7REREAJoQdmJiYpCenl5re2pqKm688UZb1ERNpCmrQqm+GgDvxiIiIjKx+m6s2bNnY/r06aioqIAoivjll1+wbt06LF26FB9++KE9aiQLmQYnB/kq4eHm0sjRREREbYPVYecf//gHPD098fzzz6OsrAwTJkxAeHg43nzzTYwfP94eNZKFODiZiIioNqvDDgBMnDgREydORFlZGUpLSxEcHGzruqgJeNs5ERFRbU0KOyZeXl7w8uIXa0vBCQWJiIhqsyjs3HTTTRAEwaIT/v77780qiJpOuhOLC4ASERFJLAo7o0ePtnMZZAumbqwItuwQERFJLAo7ixcvtncd1ExGI+fYISIiqovV8+zExsbi8uXLtbZrNBrExsbapCiy3sVSPSqrjVAIQJifh9zlEBERtRhWh52zZ89K62FdS6/XIycnx6pz7du3DyNHjkR4eDgEQcCWLVvM9ouiiEWLFiEsLAyenp5ITEzE6dOnzY45deoURo0ahcDAQKhUKvTv3x+7d++29mO1eqbByWFqT7i5NGl9VyIiIqdk8d1YX3/9tfTz9u3boVarpecGgwFpaWmIiYmx6s11Oh3i4+MxefJkjBkzptb+5cuXY9WqVVizZg1iYmKwcOFCJCUl4fjx4/DwqGm9GDFiBOLi4rBr1y54enpi5cqVGDFiBM6cOYPQ0FCr6mnNrt52zsHJRERE1xJEURQtOVChqGktEAQB17/Ezc0NHTp0wOuvv44RI0Y0rRBBwObNm6XB0KIoIjw8HHPmzMHcuXMBAMXFxQgJCUFKSgrGjx+PS5cuISgoCPv27cMdd9wBACgpKYFKpcKOHTuQmJho0XtrtVqo1WoUFxdDpVI1qX65vZV2Gq/vOIX7e0fg1fvj5S6HiIjI7iz9/ra4v8NoNMJoNCIqKgoXLlyQnhuNRuj1epw8ebLJQacumZmZyM/PNwssarUa/fr1w/79+wEA7dq1Q5cuXbB27VrodDpUV1fj3//+N4KDg9G7d+96z63X66HVas0erR3vxCIiIqqb1ZMKZmZm2qOOWvLz8wEAISEhZttDQkKkfYIgYOfOnRg9ejR8fX2hUCgQHByM1NRU+Pv713vupUuX4oUXXrBf8TKQlopgNxYREZEZi8LOqlWrMHXqVHh4eGDVqlUNHvv000/bpDBLiKKI6dOnIzg4GN9//z08PT3x4YcfYuTIkfj1118RFhZW5+vmz5+P2bNnS8+1Wi0iIyMdVbZdcKkIIiKiulkUdlasWIGJEyfCw8MDK1asqPc4QRBsFnZMg4sLCgrMQktBQQF69eoFANi1axe2bt2KoqIiqa/u3XffxY4dO7BmzRo8++yzdZ5bqVRCqVTapM6WoNpgRF5xBQDOsUNERHQ9i8LOtV1XjurGiomJQWhoKNLS0qRwo9VqceDAATz++OMAgLKymtYM0+BpE4VCAaPR6JA6W4K84goYjCLcXRUI9nWeEEdERGQLzVoItLlKS0uRkZEhPc/MzER6ejoCAgIQFRWFmTNn4qWXXkJcXJx063l4eLh0x1ZCQgL8/f0xadIkLFq0CJ6envjggw+QmZmJ4cOHy/SpHE8anOznCYXCsjXMiIiI2gqrw47BYEBKSgrS0tKku7KutWvXLovPdfDgQQwaNEh6bhpHM2nSJKSkpGDevHnQ6XSYOnUqNBoN+vfvj9TUVGmOncDAQKSmpmLBggUYPHgwqqqq0K1bN3z11VeIj287t1/nXBmcHMHxOkRERLVYHXZmzJiBlJQUDB8+HN27d7d4NfS6DBw4sNacPdcSBAEvvvgiXnzxxXqP6dOnD7Zv397kGpzB1dvOeScWERHR9awOO+vXr8fnn3+Ou+++2x71UBOYlorg4GQiIqLarF5Eyd3dHZ06dbJHLdRE2UWcY4eIiKg+VoedOXPm4M0332yw+4kciy07RERE9bO6G+uHH37A7t27sW3bNnTr1g1ubm5m+zdt2mSz4qhxFVUGXCjRA+CEgkRERHWxOuz4+fnhnnvusUct1ATnNTVdWN7uLvD3cmvkaCIiorbH6rCzevVqe9RBTWTqworw92rWnXFERETOyuoxO9SycHAyERFRwyxu2fH396+z5UCtVqNz586YO3cu7rrrLpsWR43LuaZlh4iIiGqzOOysXLmyzu0ajQa//fYbRowYgS+++AIjR460VW1kAa52TkRE1DCLw86kSZMa3N+rVy8sXbqUYcfBckzdWJw9mYiIqE42G7MzYsQI/Pnnn7Y6HVlImmOHLTtERER1slnY0ev1cHd3t9XpyAKl+moUlVUB4LpYRERE9bFZ2Pnoo4/Qq1cvW52OLGBq1fHzcoOvB+fYISIiqovFY3Zmz55d5/bi4mL8/vvvOHXqFPbt22ezwqhxXCaCiIiocRaHnUOHDtW5XaVS4a677sKmTZsQExNjs8KocZxjh4iIqHEWh53du3fbsw5qgpwituwQERE1hjMot2LZhTUtOxG8E4uIiKheFoWdadOmIScnx6ITbtiwAZ9++mmziiLLmFp2eCcWERFR/SzqxgoKCkK3bt1w++23Y+TIkejTpw/Cw8Ph4eGBoqIiHD9+HD/88APWr1+P8PBw/Oc//7F33W2eKIocoExERGQBi8LOP//5Tzz55JP48MMP8e677+L48eNm+319fZGYmIj//Oc/GDZsmF0KJXNFZVXQVRoAsGWHiIioIRYPUA4JCcGCBQuwYMECFBUVISsrC+Xl5QgMDETHjh3rXCSU7MfUqhPsq4SHm4vM1RAREbVcFoeda/n7+8Pf39/WtZAVpDWxODiZiIioQbwbq5WSVjtnFxYREVGDGHZaKVM3VgQHJxMRETWIYaeV4uzJRERElmHYaaVyeNs5ERGRRZoUdqqrq7Fz5078+9//RklJCQAgNzcXpaWlNi2O6mY0ihygTEREZCGr78Y6d+4chg0bhqysLOj1etx1113w9fXFK6+8Ar1ej/fff98eddI1LpToUWkwwkUhIEztIXc5RERELZrVLTszZsxAnz59UFRUBE/Pq+NF7rnnHqSlpdm0OKqbaZmIMLUHXF3YE0lERNQQq1t2vv/+e/z0009wd3c3296hQwecP3/eZoVR/bK5JhYREZHFrG4WMBqNMBgMtbbn5OTA19fXJkVRw0yrnXNwMhERUeOsDjtDhw7FypUrpeeCIKC0tBSLFy/G3XffbcvaqB7SAqAcnExERNQoq7uxXn/9dSQlJaFr166oqKjAhAkTcPr0aQQGBmLdunX2qJGuI82ezDl2iIiIGmV12ImIiMAff/yB9evX4/DhwygtLcWUKVMwceJEswHLZD/sxiIiIrJckxYCdXV1xYMPPmjrWsgC1QYj8rUVANiNRUREZIkmhZ3c3Fz88MMPuHDhAoxGo9m+p59+2iaFUd3yiitgMIpwd1UgyEcpdzlEREQtntVhJyUlBY899hjc3d3Rrl07CIIg7RMEgWHHzqQFQP08oVAIjRxNREREVoedhQsXYtGiRZg/fz4UCk5o52jSHDvswiIiIrKI1WmlrKwM48ePZ9CRydXByRwMTkREZAmrE8uUKVOwceNGe9RCFrh62zlbdoiIiCxhdTfW0qVLMWLECKSmpqJHjx5wc3Mz2//GG2/YrDiqTVrtnLedExERWaRJYWf79u3o0qULANQaoEz2JQ1QZjcWERGRRZo0g/J///tfPPzww3YohxpSUWXAhRI9AHZjERERWcrqMTtKpRK33367PWqhRpi6sLzdXeDv5dbI0URERAQ0IezMmDEDb731lj1qoUZcOziZXYZERESWsbob65dffsGuXbuwdetWdOvWrdYA5U2bNtmsODKXI43XYRcWERGRpawOO35+fhgzZow9aqFGSHdicbVzIiIii1kddlavXm2POsgC0uzJbNkhIiKyGKdBbkU4ezIREZH1rG7ZiYmJaXBw7F9//dWsgqh+nD2ZiIjIela37MycORMzZsyQHk888QQSEhJQXFyMqVOnWnWuffv2YeTIkQgPD4cgCNiyZYvZflEUsWjRIoSFhcHT0xOJiYk4ffp0rfP873//Q79+/eDp6Ql/f3+MHj3a2o/V4pVUVEFTVgWAYYeIiMgaVrfszJgxo87t77zzDg4ePGjVuXQ6HeLj4zF58uQ6Bz0vX74cq1atwpo1axATE4OFCxciKSkJx48fh4eHBwDgyy+/xKOPPop//etfGDx4MKqrq3H06FFrP1aLZ+rC8vdyg4/S6v9sREREbZYgiqJoixP99ddf6NWrF7RabdMKEQRs3rxZapURRRHh4eGYM2cO5s6dCwAoLi5GSEgIUlJSMH78eFRXV6NDhw544YUXMGXKFIvfS6/XQ6/XS8+1Wi0iIyNRXFwMlUrVpPrt7btj+Zj68W/oGaHG10/2l7scIiIi2Wm1WqjV6ka/v202QPmLL75AQECArU6HzMxM5OfnIzExUdqmVqvRr18/7N+/HwDw+++/4/z581AoFLjpppsQFhaG5OTkRlt2li5dCrVaLT0iIyNtVre9ZF+57ZxrYhEREVnH6v6Qm266yWyAsiiKyM/Px8WLF/Huu+/arLD8/HwAQEhIiNn2kJAQaZ9pMPSSJUvwxhtvoEOHDnj99dcxcOBAnDp1qt7wNX/+fMyePVt6bmrZaclMC4BytXMiIiLrWB12rh/8q1AoEBQUhIEDB+KGG26wVV0WMRqNAIAFCxbg3nvvBVAzD1BERAQ2btyIxx57rM7XKZVKKJVKh9VpCzmmOXY4OJmIiMgqVoedxYsX26OOWkJDQwEABQUFCAsLk7YXFBSgV69eACBt79q1q7RfqVQiNjYWWVlZDqnTUTjHDhERUdNYNGZHq9Va/LCVmJgYhIaGIi0tzayOAwcOICEhAQDQu3dvKJVKnDx5UjqmqqoKZ8+eRXR0tM1qkZsoipxjh4iIqIksatnx8/NrdJVtURQhCAIMBoPFb15aWoqMjAzpeWZmJtLT0xEQEICoqCjMnDkTL730EuLi4qRbz8PDw6WuNJVKhWnTpmHx4sWIjIxEdHQ0Xn31VQDA/fffb3EdLV1RWRXKKmuua3s/tuwQERFZw6Kws3v3bru8+cGDBzFo0CDpuWnQ8KRJk5CSkoJ58+ZBp9Nh6tSp0Gg06N+/P1JTU6U5dgDg1VdfhaurKx566CGUl5ejX79+2LVrF/z9/e1SsxxMg5NDVEp4uLnIXA0REVHrYrN5dlozS+/Tl8vWw7l48rND6B3tjy8fv03ucoiIiFoES7+/mzQVr0ajwUcffYQTJ04AALp164bJkydDrVY3rVpqEAcnExERNZ3VkwoePHgQHTt2xIoVK1BYWIjCwkK88cYb6NixI37//Xd71NjmcXAyERFR01ndsjNr1iz87W9/wwcffABX15qXV1dX4x//+AdmzpyJffv22bzIto4TChIRETWd1WHn4MGDZkEHAFxdXTFv3jz06dPHpsVRjfOmpSIC2I1FRERkLau7sVQqVZ0T9mVnZ8PX19cmRdFVRqOInCLTmB227BAREVnL6rAzbtw4TJkyBRs2bEB2djays7Oxfv16/OMf/8ADDzxgjxrbtAslelQajHBRCAhTezT+AiIiIjJjdTfWa6+9BkEQ8Pe//x3V1dUAADc3Nzz++ONYtmyZzQts60yDk8PUHnB1sdki9URERG2G1WHH3d0db775JpYuXYozZ84AADp27AgvL3ax2AMHJxMRETWP1U0Fn3zyCcrKyuDl5YUePXqgR48eDDp2JM2xw8HJRERETWJ12Jk1axaCg4MxYcIEfPvtt1athUXWyyliyw4REVFzWB128vLysH79egiCgLFjxyIsLAzTp0/HTz/9ZI/62jxOKEhERNQ8VocdV1dXjBgxAp9++ikuXLiAFStW4OzZsxg0aBA6duxojxrbNFM3VgSXiiAiImqSJq2NZeLl5YWkpCQUFRXh3Llz0lpZZBtVBiPyik1jdtiyQ0RE1BRNupe5rKwMn376Ke6++260b98eK1euxD333INjx47Zur42LU9TAaMIuLsqEOSjlLscIiKiVsnqlp3x48dj69at8PLywtixY7Fw4UIkJCTYo7Y2zzReJ8LfEwqFIHM1RERErZPVYcfFxQWff/45kpKS4OLiYo+a6AreiUVERNR8VnVjVVVVIT8/H3FxcQw6DsA5doiIiJrPqrDj5uaGw4cP26sWus7Vbiy27BARETWV1QOUH3zwQXz00Uf2qIWuw6UiiIiIms/qMTvV1dX473//i507d6J3797w9vY22//GG2/YrLi2LruI3VhERETNZXXYOXr0KG6++WYAwKlTp8z2CQLvGLKViioDLpboAbBlh4iIqDmsDju7d++2Rx10nZwrrTo+Slf4ebnJXA0REVHr1aRJBQEgIyMD27dvR3l5zZeyKIo2K4rM59hhixkREVHTWR12Ll++jCFDhqBz5864++67kZeXBwCYMmUK5syZY/MC26qcQt6JRUREZAtWh51Zs2bBzc0NWVlZ8PK6+kU8btw4pKam2rS4toyDk4mIiGzD6jE73333HbZv346IiAiz7XFxcTh37pzNCmvreNs5ERGRbVjdsqPT6cxadEwKCwuhVHKxSlsxjdnhaudERETNY3XYueOOO7B27VrpuSAIMBqNWL58OQYNGmTT4tqyHHZjERER2YTV3VjLly/HkCFDcPDgQVRWVmLevHk4duwYCgsL8eOPP9qjxjanpKIKmrIqABygTERE1FxWt+x0794dp06dQv/+/TFq1CjodDqMGTMGhw4dQseOHe1RY5tjWgDU38sNPkqr8ygRERFdo0nfpGq1GgsWLLB1LXQFx+sQERHZTpPCTlFRET766COcOHECANC1a1c88sgjCAgIsGlxbRXvxCIiIrIdq7ux9u3bhw4dOmDVqlUoKipCUVERVq1ahZiYGOzbt88eNbY5psHJERycTERE1GxWt+xMnz4d48aNw3vvvQcXFxcAgMFgwBNPPIHp06fjyJEjNi+yrckpYssOERGRrVjdspORkYE5c+ZIQQcAXFxcMHv2bGRkZNi0uLbKNECZY3aIiIiaz+qwc/PNN0tjda514sQJxMfH26SotkwURbNFQImIiKh5rO7GevrppzFjxgxkZGTg1ltvBQD8/PPPeOedd7Bs2TIcPnxYOrZnz562q7SNKNRVoqzSAABo78ewQ0RE1FyCKIqiNS9QKBpuDBIEAaIoQhAEGAyGZhXnKFqtFmq1GsXFxVCpVLLWkp6tweh3fkSISokDzyXKWgsREVFLZun3t9UtO5mZmc0qjBrG286JiIhsy+qwExgYCG9vb3vUQrh2TSyGHSIiIluweoBySEgIJk+ejB9++MEe9bR50uzJHJxMRERkE1aHnU8++QSFhYUYPHgwOnfujGXLliE3N9cetbVJpm4sLgBKRERkG1aHndGjR2PLli04f/48pk2bhs8++wzR0dEYMWIENm3ahOrqanvU2WZw9mQiIiLbsjrsmAQFBWH27Nk4fPgw3njjDezcuRP33XcfwsPDsWjRIpSVldmyzjbBaBRx3jRmhy07RERENtGkhUABoKCgAGvWrEFKSgrOnTuH++67D1OmTEFOTg5eeeUV/Pzzz/juu+9sWavTKyipQKXBCBeFgDC1h9zlEBEROQWrw86mTZuwevVqbN++HV27dsUTTzyBBx98EH5+ftIxt912G2688UZb1tkmmLqwwv084OrS5EY3IiIiuobVYeeRRx7B+PHj8eOPP6Jv3751HhMeHo4FCxY0u7i2hnPsEBER2Z7VYScvLw9eXg1/GXt6emLx4sVNLqqtMi0AyjWxiIiIbMfisKPVauv8+XpyL7fQml2dY4ctO0RERLZicdjx8/ODIAj17m9t62G1RFI3FmdPJiIishmLR8Hu3r0bu3btwq5du5CWlgalUomPP/5Y2mbab419+/Zh5MiRCA8PhyAI2LJli9l+URSxaNEihIWFwdPTE4mJiTh9+nSd59Lr9ejVqxcEQUB6erpVdbQUV5eKYDcWERGRrVjcsjNgwACz5y4uLrj11lsRGxvb5DfX6XSIj4/H5MmTMWbMmFr7ly9fjlWrVmHNmjWIiYnBwoULkZSUhOPHj8PDw/zW7Hnz5iE8PBx//PFHk+uRU5XBiLxizrFDRERka02eZ8cWkpOTkZycXOc+URSxcuVKPP/88xg1ahQAYO3atQgJCcGWLVswfvx46dht27bhu+++w5dffolt27Y1+r56vR56vV563tAYJEfJ01TAKAJKVwWCfJVyl0NEROQ0WuxkLpmZmcjPz0diYqK0Ta1Wo1+/fti/f7+0raCgAI8++ig+/vjjRu8SM1m6dCnUarX0iIyMtHn91jINTm7v79ng2CgiIiKyTrPCjj2/lPPz8wHUrLJ+rZCQEGmfKIp4+OGHMW3aNPTp08fic8+fPx/FxcXSIzs723aFNxHn2CEiIrIPi7uxrh9TU1FRgWnTpsHb29ts+6ZNm2xTmQXeeustlJSUYP78+Va9TqlUQqlsWV1F0m3nHJxMRERkUxaHHbVabfb8wQcftHkx1woNDQVQ000VFhYmbS8oKECvXr0AALt27cL+/ftrBZc+ffpg4sSJWLNmjV1rtCXThIJs2SEiIrIti8PO6tWr7VlHLTExMQgNDUVaWpoUbrRaLQ4cOIDHH38cALBq1Sq89NJL0mtyc3ORlJSEDRs2oF+/fg6tt7lyijjHDhERkT3IejdWaWkpMjIypOeZmZlIT09HQEAAoqKiMHPmTLz00kuIi4uTbj0PDw/H6NGjAQBRUVFm5/Px8QEAdOzYEREREQ77HLaQXcSWHSIiInuQNewcPHgQgwYNkp7Pnj0bADBp0iSkpKRg3rx50Ol0mDp1KjQaDfr374/U1NRac+y0dhVVBlwsqbkVnutiERER2ZYgiqIodxFy02q1UKvVKC4ulmVtr4wLJUh8Yx98lK44smQobz0nIiKygKXf3y12np225NrVzhl0iIiIbIthpwXI5uBkIiIiu2HYaQFyODiZiIjIbhh2WgBp9mROKEhERGRzDDstgNSNxZYdIiIim2PYaQGkAcps2SEiIrI5hh2ZaSuqUFxeBYAtO0RERPbAsCMz03idAG93eCtlneORiIjIKTHsyOzqnVjswiIiIrIHhh2ZmVp2IjjHDhERkV0w7MiMc+wQERHZF8OOzKSWHXZjERER2QXDjsy4VAQREZF9MezISBRFaY4dDlAmIiKyD4YdGV3WVaK8ygBBANoz7BAREdkFw46MTIOTQ3w9oHR1kbkaIiIi58SwIyMuAEpERGR/DDsyMg1OjuBt50RERHbDsCMjDk4mIiKyP4YdGeUUcfZkIiIie2PYkZE0ZofdWERERHbDsCMTo1HEec2VbiwOUCYiIrIbhh2ZFJRUoMogwlUhIFTlIXc5RERETothRyamwclhfh5wdeF/BiIiInvht6xMOF6HiIjIMRh2ZCItAMqwQ0REZFcMOzKR5tjh4GQiIiK7YtiRiWmOnUjOsUNERGRXDDsyMS0CyqUiiIiI7IthRwZVBiPyirlUBBERkSMw7MggV1MOowgoXRUI8lXKXQ4REZFTY9iRgWlwcoS/JwRBkLkaIiIi58awI4NsDk4mIiJyGIYdGeRwjh0iIiKHYdiRAefYISIichyGHRmYurF42zkREZH9MezIQGrZYdghIiKyO4YdByuvNOBSqR4Au7GIiIgcgWHHwUyDk32VrlB7uslcDRERkfNj2HEwaZmIAC/OsUNEROQADDsOJs2xw2UiiIiIHIJhx8GyC3knFhERkSMx7DgY59ghIiJyLIYdB8vm7MlEREQOxbDjYKZuLK6LRURE5BgMOw5UXF4FbUU1gJoVz4mIiMj+GHYcyDTHTjtvd3grXWWuhoiIqG1g2HEg0+BktuoQERE5DsOOA5ladiI4XoeIiMhhZA07+/btw8iRIxEeHg5BELBlyxaz/aIoYtGiRQgLC4OnpycSExNx+vRpaf/Zs2cxZcoUxMTEwNPTEx07dsTixYtRWVnp4E9iGWlwMu/EIiIichhZw45Op0N8fDzeeeedOvcvX74cq1atwvvvv48DBw7A29sbSUlJqKioAAD8+eefMBqN+Pe//41jx45hxYoVeP/99/Hcc8858mNYLLuIc+wQERE5mqyjZJOTk5GcnFznPlEUsXLlSjz//PMYNWoUAGDt2rUICQnBli1bMH78eAwbNgzDhg2TXhMbG4uTJ0/ivffew2uvveaQz2CNHM6xQ0RE5HAtdsxOZmYm8vPzkZiYKG1Tq9Xo168f9u/fX+/riouLERAQ0OC59Xo9tFqt2cPeRFG8ZvZkhh0iIiJHabFhJz8/HwAQEhJitj0kJETad72MjAy89dZbeOyxxxo899KlS6FWq6VHZGSkbYpuwGVdJcqrDBAEINzPw+7vR0RERDVabNix1vnz5zFs2DDcf//9ePTRRxs8dv78+SguLpYe2dnZdq/PNDg5xNcDSlcXu78fERER1WixYSc0NBQAUFBQYLa9oKBA2meSm5uLQYMG4bbbbsN//vOfRs+tVCqhUqnMHvbGwclERETyaLFhJyYmBqGhoUhLS5O2abVaHDhwAAkJCdK28+fPY+DAgejduzdWr14NhaJlfiTedk5ERCQPWe/GKi0tRUZGhvQ8MzMT6enpCAgIQFRUFGbOnImXXnoJcXFxiImJwcKFCxEeHo7Ro0cDuBp0oqOj8dprr+HixYvSua5v/ZFbzpWWHU4oSERE5Fiyhp2DBw9i0KBB0vPZs2cDACZNmoSUlBTMmzcPOp0OU6dOhUajQf/+/ZGamgoPj5oBvjt27EBGRgYyMjIQERFhdm5RFB33QSxw9bZzdmMRERE5kiC2tFQgA61WC7VajeLiYruN3xn46m6cvVyGdY/eioSO7ezyHkRERG2Jpd/fLXOAi5MxGEWc13CAMhERkRwYdhygQFuBKoMIV4WAMDXDDhERkSMx7DiA6U6scD9PuCgEmashIiJqWxh2HCCHc+wQERHJhmHHAbK5ACgREZFsGHYcgAuAEhERyYdhxwFMLTsRnGOHiIjI4Rh2HCCn0BR22LJDRETkaAw7dlZZbUSetgIABygTERHJgWHHzvKKyyGKgIebAkE+SrnLISIianMYduzMNDg5wt8LgsA5doiIiByNYcfOsrkAKBERkawYduwsm4OTiYiIZMWwY2fZnD2ZiIhIVgw7dmZq2eHsyURERPJg2LGzq+tiMewQERHJgWHHjsorDbhUqgfAlh0iIiK5MOzYUc6VO7F8PVyh9nKTuRoiIqK2iWHHjq6uicVWHSIiIrkw7NiRtNo559ghIiKSDcOOHUl3YnFwMhERkWwYduxIuhOLLTtERESyYdixoyqDES4KgS07REREMnKVuwBn9tHDfVFtMEKUuxAiIqI2jGHHzlxd2HhGREQkJ34TExERkVNj2CEiIiKnxrBDRERETo1hh4iIiJwaww4RERE5NYYdIiIicmoMO0REROTUGHaIiIjIqTHsEBERkVNj2CEiIiKnxrBDRERETo1hh4iIiJwaww4RERE5Na56DkAURQCAVquVuRIiIiKylOl72/Q9Xh+GHQAlJSUAgMjISJkrISIiImuVlJRArVbXu18QG4tDbYDRaERubi58fX0hCILc5bQoWq0WkZGRyM7OhkqlkrucVofXr/l4DZuH16/5eA2bx57XTxRFlJSUIDw8HApF/SNz2LIDQKFQICIiQu4yWjSVSsU/8mbg9Ws+XsPm4fVrPl7D5rHX9WuoRceEA5SJiIjIqTHsEBERkVNj2KEGKZVKLF68GEqlUu5SWiVev+bjNWweXr/m4zVsnpZw/ThAmYiIiJwaW3aIiIjIqTHsEBERkVNj2CEiIiKnxrBDRERETo1hh7BkyRIIgmD2uOGGG6T9FRUVmD59Otq1awcfHx/ce++9KCgokLFi+e3btw8jR45EeHg4BEHAli1bzPaLoohFixYhLCwMnp6eSExMxOnTp82OKSwsxMSJE6FSqeDn54cpU6agtLTUgZ9CPo1dv4cffrjW7+SwYcPMjmnL12/p0qXo27cvfH19ERwcjNGjR+PkyZNmx1jyd5uVlYXhw4fDy8sLwcHB+L//+z9UV1c78qPIxpJrOHDgwFq/h9OmTTM7pq1ew/feew89e/aUJgpMSEjAtm3bpP0t7fePYYcAAN26dUNeXp70+OGHH6R9s2bNwjfffIONGzdi7969yM3NxZgxY2SsVn46nQ7x8fF455136ty/fPlyrFq1Cu+//z4OHDgAb29vJCUloaKiQjpm4sSJOHbsGHbs2IGtW7di3759mDp1qqM+gqwau34AMGzYMLPfyXXr1pntb8vXb+/evZg+fTp+/vln7NixA1VVVRg6dCh0Op10TGN/twaDAcOHD0dlZSV++uknrFmzBikpKVi0aJEcH8nhLLmGAPDoo4+a/R4uX75c2teWr2FERASWLVuG3377DQcPHsTgwYMxatQoHDt2DEAL/P0Tqc1bvHixGB8fX+c+jUYjurm5iRs3bpS2nThxQgQg7t+/30EVtmwAxM2bN0vPjUajGBoaKr766qvSNo1GIyqVSnHdunWiKIri8ePHRQDir7/+Kh2zbds2URAE8fz58w6rvSW4/vqJoihOmjRJHDVqVL2v4fUzd+HCBRGAuHfvXlEULfu7/fbbb0WFQiHm5+dLx7z33nuiSqUS9Xq9Yz9AC3D9NRRFURwwYIA4Y8aMel/Da2jO399f/PDDD1vk7x9bdggAcPr0aYSHhyM2NhYTJ05EVlYWAOC3335DVVUVEhMTpWNvuOEGREVFYf/+/XKV26JlZmYiPz/f7Jqp1Wr069dPumb79++Hn58f+vTpIx2TmJgIhUKBAwcOOLzmlmjPnj0IDg5Gly5d8Pjjj+Py5cvSPl4/c8XFxQCAgIAAAJb93e7fvx89evRASEiIdExSUhK0Wq30/87bkuuvocmnn36KwMBAdO/eHfPnz0dZWZm0j9ewhsFgwPr166HT6ZCQkNAif/+4ECihX79+SElJQZcuXZCXl4cXXngBd9xxB44ePYr8/Hy4u7vDz8/P7DUhISHIz8+Xp+AWznRdrv0jNj037cvPz0dwcLDZfldXVwQEBPC6oqYLa8yYMYiJicGZM2fw3HPPITk5Gfv374eLiwuv3zWMRiNmzpyJ22+/Hd27dwcAi/5u8/Pz6/wdNe1rS+q6hgAwYcIEREdHIzw8HIcPH8YzzzyDkydPYtOmTQB4DY8cOYKEhARUVFTAx8cHmzdvRteuXZGent7ifv8YdgjJycnSzz179kS/fv0QHR2Nzz//HJ6enjJWRm3V+PHjpZ979OiBnj17omPHjtizZw+GDBkiY2Utz/Tp03H06FGzcXZknfqu4bVjwHr06IGwsDAMGTIEZ86cQceOHR1dZovTpUsXpKeno7i4GF988QUmTZqEvXv3yl1WndiNRbX4+fmhc+fOyMjIQGhoKCorK6HRaMyOKSgoQGhoqDwFtnCm63L9nQfXXrPQ0FBcuHDBbH91dTUKCwt5XesQGxuLwMBAZGRkAOD1M3nyySexdetW7N69GxEREdJ2S/5uQ0ND6/wdNe1rK+q7hnXp168fAJj9Hrbla+ju7o5OnTqhd+/eWLp0KeLj4/Hmm2+2yN8/hh2qpbS0FGfOnEFYWBh69+4NNzc3pKWlSftPnjyJrKwsJCQkyFhlyxUTE4PQ0FCza6bVanHgwAHpmiUkJECj0eC3336Tjtm1axeMRqP0P6h0VU5ODi5fvoywsDAAvH6iKOLJJ5/E5s2bsWvXLsTExJjtt+TvNiEhAUeOHDELjTt27IBKpULXrl0d80Fk1Ng1rEt6ejoAmP0etuVreD2j0Qi9Xt8yf/9sPuSZWp05c+aIe/bsETMzM8Uff/xRTExMFAMDA8ULFy6IoiiK06ZNE6OiosRdu3aJBw8eFBMSEsSEhASZq5ZXSUmJeOjQIfHQoUMiAPGNN94QDx06JJ47d04URVFctmyZ6OfnJ3711Vfi4cOHxVGjRokxMTFieXm5dI5hw4aJN910k3jgwAHxhx9+EOPi4sQHHnhAro/kUA1dv5KSEnHu3Lni/v37xczMTHHnzp3izTffLMbFxYkVFRXSOdry9Xv88cdFtVot7tmzR8zLy5MeZWVl0jGN/d1WV1eL3bt3F4cOHSqmp6eLqampYlBQkDh//nw5PpLDNXYNMzIyxBdffFE8ePCgmJmZKX711VdibGyseOedd0rnaMvX8NlnnxX37t0rZmZmiocPHxafffZZURAE8bvvvhNFseX9/jHskDhu3DgxLCxMdHd3F9u3by+OGzdOzMjIkPaXl5eLTzzxhOjv7y96eXmJ99xzj5iXlydjxfLbvXu3CKDWY9KkSaIo1tx+vnDhQjEkJERUKpXikCFDxJMnT5qd4/Lly+IDDzwg+vj4iCqVSnzkkUfEkpISGT6N4zV0/crKysShQ4eKQUFBopubmxgdHS0++uijZreoimLbvn51XTsA4urVq6VjLPm7PXv2rJicnCx6enqKgYGB4pw5c8SqqioHfxp5NHYNs7KyxDvvvFMMCAgQlUql2KlTJ/H//u//xOLiYrPztNVrOHnyZDE6Olp0d3cXg4KCxCFDhkhBRxRb3u+fIIqiaPv2IiIiIqKWgWN2iIiIyKkx7BAREZFTY9ghIiIip8awQ0RERE6NYYeIiIicGsMOEREROTWGHSIiInJqDDtERETk1Bh2iMiuOnTogJUrV8pdhk0MHDgQM2fOdMh7CYKALVu2OOS9iJwdww6Rk3j44YchCEKth2mFZntLSUmBn59fre2//vorpk6datf33rNnT52fXRAE5Ofn2/W9m2vJkiXo1atXre15eXlITk52fEFETshV7gKIyHaGDRuG1atXm20LCgqSqRrHv//JkyehUqnMtgUHBzvs/W0pNDRU7hKInAZbdoiciFKpRGhoqNnDxcUFDz/8MEaPHm127MyZMzFw4EDp+cCBA/H0009j3rx5CAgIQGhoKJYsWWL2Go1Gg8ceewwhISHw8PBA9+7dsXXrVuzZswePPPIIiouLpRYV02uv78bKysrCqFGj4OPjA5VKhbFjx6KgoEDab2rp+Pjjj9GhQweo1WqMHz8eJSUljX7+4ODgWp9foVDgu+++g4eHBzQajdnxM2bMwODBgwEAly9fxgMPPID27dvDy8sLPXr0wLp16xp8v7q6mvz8/JCSkiI9f+aZZ9C5c2d4eXkhNjYWCxcuRFVVFYCa1rAXXngBf/zxh3TdTK+9/txHjhzB4MGD4enpiXbt2mHq1KkoLS2V9pv+G7/22msICwtDu3btMH36dOm9AODdd99FXFwcPDw8EBISgvvuu6/Ra0rkDBh2iEiyZs0aeHt748CBA1i+fDlefPFF7NixAwBgNBqRnJyMH3/8EZ988gmOHz+OZcuWwcXFBbfddhtWrlwJlUqFvLw85OXlYe7cubXObzQaMWrUKBQWFmLv3r3YsWMH/vrrL4wbN87suDNnzmDLli3YunUrtm7dir1792LZsmVN/lxDhgyBn58fvvzyS2mbwWDAhg0bMHHiRABARUUFevfujf/97384evQopk6dioceegi//PJLk98XAHx9fZGSkoLjx4/jzTffxAcffIAVK1YAAMaNG4c5c+agW7du0nW7/loAgE6nQ1JSEvz9/fHrr79i48aN2LlzJ5588kmz43bv3o0zZ85g9+7dWLNmDVJSUqTwdPDgQTz99NN48cUXcfLkSaSmpuLOO+9s1mcjai3YjUXkRLZu3QofHx/peXJyMjZu3Gjx63v27InFixcDAOLi4vD2228jLS0Nd911F3bu3IlffvkFJ06cQOfOnQEAsbGx0mvVajUEQWiw+yUtLQ1HjhxBZmYmIiMjAQBr165Ft27d8Ouvv6Jv374AakJRSkoKfH19AQAPPfQQ0tLS8PLLLzdYf0REhNnz6OhoHDt2DC4uLhg/fjw+++wzTJkyRapFo9Hg3nvvBQC0b9/eLKA99dRT2L59Oz7//HPccsstjV+8ejz//PPSzx06dMDcuXOxfv16zJs3D56envDx8YGrq2uD1+2zzz5DRUUF1q5dC29vbwDA22+/jZEjR+KVV15BSEgIAMDf3x9vv/02XFxccMMNN2D48OFIS0vDo48+iqysLHh7e2PEiBHw9fVFdHQ0brrppiZ/LqLWhGGHyIkMGjQI7733nvTc9MVoqZ49e5o9DwsLw4ULFwAA6enpiIiIkIJOU5w4cQKRkZFS0AGArl27ws/PDydOnJDCTocOHaSgc30dDfn+++/NXufm5ib9PHHiRNx6663Izc1FeHg4Pv30UwwfPlwaVG0wGPCvf/0Ln3/+Oc6fP4/Kykro9Xp4eXk1+fMCwIYNG7Bq1SqcOXMGpaWlqK6urjWuqDEnTpxAfHy82X/P22+/HUajESdPnpTCTrdu3eDi4iIdExYWhiNHjgAA7rrrLkRHRyM2NhbDhg3DsGHDcM899zT78xG1BuzGInIi3t7e6NSpk/QICwsDACgUCoiiaHbstWM5TK4NB0DNuBGj0QgA8PT0tFPVtTVUR0NiYmLMPn90dLS0r2/fvujYsSPWr1+P8vJybN68WerCAoBXX30Vb775Jp555hns3r0b6enpSEpKQmVlZb3vJwhCg9d1//79mDhxIu6++25s3boVhw4dwoIFCxo8Z3M0dN18fX3x+++/Y926dQgLC8OiRYsQHx9faxwTkTNi2CFqA4KCgpCXl2e2LT093apz9OzZEzk5OTh16lSd+93d3WEwGBo8x4033ojs7GxkZ2dL244fPw6NRoOuXbtaVU9TTJw4EZ9++im++eYbKBQKDB8+XNr3448/YtSoUXjwwQcRHx+P2NjYej+ryfXX9fTp0ygrK5Oe//TTT4iOjsaCBQvQp08fxMXF4dy5c2bnsPS6/fHHH9DpdGb1KhQKdOnSxaLPDgCurq5ITEzE8uXLcfjwYZw9exa7du2y+PVErRXDDlEbMHjwYBw8eBBr167F6dOnsXjxYhw9etSqcwwYMAB33nkn7r33XuzYsQOZmZnYtm0bUlNTAdR0PZWWliItLQ2XLl0y+9I3SUxMRI8ePTBx4kT8/vvv+OWXX/D3v/8dAwYMQJ8+fZr9OS9cuID8/Hyzx7UtLab3ffnll3HfffdBqVRK++Li4rBjxw789NNPOHHiBB577DGzu8TqMnjwYLz99ts4dOgQDh48iGnTppm1rsTFxSErKwvr16/HmTNnsGrVKmzevNnsHB06dEBmZibS09Nx6dIl6PX6Wu8zceJEeHh4YNKkSTh69Ch2796Np556Cg899JDUhdWYrVu3YtWqVUhPT8e5c+ewdu1aGI1Gq8ISUWvFsEPUBiQlJWHhwoWYN28e+vbti5KSEvz973+3+jxffvkl+vbtiwceeABdu3bFvHnzpFaJ2267DdOmTcO4ceMQFBSE5cuX13q9IAj46quv4O/vjzvvvBOJiYmIjY3Fhg0bmv0ZAaBLly4ICwsze/z222/S/k6dOuGWW27B4cOHzbqwgJqBxDfffDOSkpIwcOBAhIaG1rpd/3qvv/46IiMjcccdd2DChAmYO3eu2RiYv/3tb5g1axaefPJJ9OrVCz/99BMWLlxodo57770Xw4YNw6BBgxAUFFTn7e5eXl7Yvn07CgsL0bdvX9x3330YMmQI3n77bYuvjZ+fHzZt2oTBgwfjxhtvxPvvv49169ahW7duFp+DqLUSxOs7nImIiIicCFt2iIiIyKkx7BAREZFTY9ghIiIip8awQ0RERE6NYYeIiIicGsMOEREROTWGHSIiInJqDDtERETk1Bh2iIiIyKkx7BAREZFTY9ghIiIip/b/m55RFpDn1LMAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_metric_history(exp.runs[0], Hypervolume(ref_point=[12, 12]))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "paretobench", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.13.1" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/src/paretobench/metrics.py b/src/paretobench/metrics.py index cd78dfa..4ee1258 100644 --- a/src/paretobench/metrics.py +++ b/src/paretobench/metrics.py @@ -18,6 +18,10 @@ class Metric: def name(self): raise NotImplementedError + def get_plot_label(self) -> str: + """Returns label for y axis of plots with the metric.""" + raise NotImplementedError + class InvertedGenerationalDistance(Metric): """ @@ -62,6 +66,9 @@ def __call__(self, pop: Population, problem: Union[Problem, str]): def name(self): return "igd" + def get_plot_label(self) -> str: + return "IGD (Unitless)" + class Hypervolume(Metric): """ @@ -136,6 +143,9 @@ def __call__(self, pop: Population, problem: Union[Problem, str]): def name(self): return "hypervolume" + def get_plot_label(self) -> str: + return "Hypervolume (Unitless)" + @dataclass class EvalMetricsJob: diff --git a/src/paretobench/plotting/metrics.py b/src/paretobench/plotting/metrics.py new file mode 100644 index 0000000..11fd7ec --- /dev/null +++ b/src/paretobench/plotting/metrics.py @@ -0,0 +1,30 @@ +import matplotlib.pyplot as plt +from typing import Literal + +from paretobench.containers import History +from paretobench.metrics import Metric, eval_metrics + + +def plot_metric_history( + hist: History, metric: Metric, x_axis: Literal["fevals", "generation"] = "fevals", fig=None, ax=None +): + # Calculate the metrics from the history object + df = eval_metrics(hist, metric) + + # Plot the data + if fig is None or ax is None: + fig, ax = plt.subplots() + + if x_axis == "fevals": + x_vals = df["fevals"] + elif x_axis == "generation": + x_vals = df["pop_idx"] + else: + raise ValueError(f"Unrecognized value for `x_axis`: {x_vals}") + + ax.plot(x_vals, df[metric.name]) + if x_axis == "fevals": + ax.set_xlabel("Function Evaluations") + elif x_axis == "generation": + ax.set_xlabel("Generation") + ax.set_ylabel(metric.get_plot_label()) From 4a15f5fcbadcda182264df73caa602ee897b0e5d Mon Sep 17 00:00:00 2001 From: "Christopher M. Pierce" Date: Fri, 13 Mar 2026 01:13:08 -0700 Subject: [PATCH 2/8] add example notebook --- example_notebooks/plotting_metrics.ipynb | 94 ++++++++++++++++++++++-- src/paretobench/plotting/__init__.py | 2 + 2 files changed, 88 insertions(+), 8 deletions(-) diff --git a/example_notebooks/plotting_metrics.ipynb b/example_notebooks/plotting_metrics.ipynb index 5b412a6..9f0019b 100644 --- a/example_notebooks/plotting_metrics.ipynb +++ b/example_notebooks/plotting_metrics.ipynb @@ -1,36 +1,113 @@ { "cells": [ + { + "cell_type": "markdown", + "id": "f170871c", + "metadata": {}, + "source": [ + "# Plotting Metrics Across Histories\n", + "This notebooks demonstrates the use of `plot_metric_history` which allows for the plotting the evolution of metrics over each population within a `History` object." + ] + }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 2, "id": "187977c8", "metadata": {}, "outputs": [], "source": [ "import paretobench as pb\n", - "from paretobench.plotting.metrics import plot_metric_history\n", + "from paretobench.plotting import plot_metric_history, population_obj_scatter\n", "from paretobench.metrics import Hypervolume" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 11, "id": "d05faebb", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "'WFG1 (m=2,n=16,k=2)'" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "exp = pb.Experiment.load(\"data/NSGAII.h5\")" + "# Load an experiment and get the history object from it\n", + "exp = pb.Experiment.load(\"data/NSGAII.h5\")\n", + "hist = exp.runs[0]\n", + "hist.problem" ] }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 4, + "id": "035458a2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(
, )" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Show the last generation\n", + "population_obj_scatter(hist.reports[-1])" + ] + }, + { + "cell_type": "code", + "execution_count": null, "id": "17b44a70", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot hypervolume vs function evaluations\n", + "plot_metric_history(exp.runs[0], Hypervolume(ref_point=[3, 3]))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "19f275d7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" ] @@ -40,7 +117,8 @@ } ], "source": [ - "plot_metric_history(exp.runs[0], Hypervolume(ref_point=[12, 12]))" + "# Plot hypervolume vs generation\n", + "plot_metric_history(exp.runs[0], Hypervolume(ref_point=[3, 3]), x_axis=\"generation\")" ] } ], diff --git a/src/paretobench/plotting/__init__.py b/src/paretobench/plotting/__init__.py index 8c796a5..9a864ba 100644 --- a/src/paretobench/plotting/__init__.py +++ b/src/paretobench/plotting/__init__.py @@ -8,6 +8,7 @@ history_obj_scatter, history_dvar_pairs, ) +from .metrics import plot_metric_history __all__ = [ "population_dvar_pairs", @@ -16,4 +17,5 @@ "history_obj_animation", "history_obj_scatter", "history_dvar_pairs", + "plot_metric_history", ] From 381eaeac5a29be3896ab71a4baa37fed06e0ba6a Mon Sep 17 00:00:00 2001 From: "Christopher M. Pierce" Date: Fri, 13 Mar 2026 01:20:58 -0700 Subject: [PATCH 3/8] cleaning up plotting function; docstring; rerun notebook --- example_notebooks/plotting_metrics.ipynb | 36 +++++++++++++++++----- src/paretobench/plotting/metrics.py | 39 ++++++++++++++++++++---- 2 files changed, 62 insertions(+), 13 deletions(-) diff --git a/example_notebooks/plotting_metrics.ipynb b/example_notebooks/plotting_metrics.ipynb index 9f0019b..64106e6 100644 --- a/example_notebooks/plotting_metrics.ipynb +++ b/example_notebooks/plotting_metrics.ipynb @@ -11,7 +11,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "id": "187977c8", "metadata": {}, "outputs": [], @@ -23,7 +23,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 2, "id": "d05faebb", "metadata": {}, "outputs": [ @@ -33,7 +33,7 @@ "'WFG1 (m=2,n=16,k=2)'" ] }, - "execution_count": 11, + "execution_count": 2, "metadata": {}, "output_type": "execute_result" } @@ -47,7 +47,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "id": "035458a2", "metadata": {}, "outputs": [ @@ -57,7 +57,7 @@ "(
, )" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, @@ -79,10 +79,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "id": "17b44a70", "metadata": {}, "outputs": [ + { + "data": { + "text/plain": [ + "(
,\n", + " )" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + }, { "data": { "image/png": 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bYGB0IBztZSJWSKbCcENERFZDpdbg94t5+O5IBnb/dbuVxt3JHk90DMGYrqFo4e8mcpVkagw3RETUqGk0AooqqnGjVIkbJTWPvDt+rl2eV6pEflkV7pxUqGuEF8Z2bYL+UQFspbEhDDdERGR2giCgVKm6FUqqbgWVyjuCSpVOkKm9m0kfns41rTSjuzZBcz9XEx4FNVYMN0REZDTVag1yiip1WlO0LSy3Wllql1VWawx6bQ9ne/i6yuHrduvhKofPrT+1y9zk8HJ2gFQqMdERkiVoULhRKpWQy+XGqoWIiCxYytUivLDmGHKKK/Xex1VuB183OXxcHbSBpTak+Nzxs7eLHA52UhNWT9bEoHDzyy+/YP369fj999+RmZkJjUYDFxcXdOjQAY899hgmTZqEoKAgU9VKRESN1MG0PLzwzTGUVanhIJPeM6DcDi8O8HV1hI+bA8eUIZOQCILwwAuZW7duxZtvvomSkhIMHDgQXbt2RVBQEJycnFBQUIDTp0/j999/x6FDhzBx4kT8+9//hq+vrznqN1hxcTHc3d1RVFQEhYLjGhARNdTOMzn457qTqFJp0L2ZN/4zvjMnlSSjM+T7W69wExsbi7lz52LAgAGQSu/fLJiVlYVPP/0U/v7+mDZtmuGVmwHDDRGR8Ww6lok3v0+GRgAea+uPZWM68K4kMgmjhxtrwnBDRGQcX/5+Ce9sPwcAGNk5BO8Nj4adjP1iyDQM+f5u8KdQrVYjKSkJN2/ebOhLERGRBRAEAR/u/EsbbF58tCk+eKIdgw01GgZ/El977TV89dVXAGqCTc+ePdGxY0eEhoZi7969xq6PiIgaEbVGwJwfTmPFnjQAwMz+rTB7QGtIJLz1mhoPg8PN5s2bERMTAwD43//+h/T0dPz111+YNm0a5syZY/QCiYiocahSaTB1/Ul8dzgDEgnw3vBovNyrOYMNNToGh5u8vDwEBAQAAH7++Wc89dRTaNmyJZ599lmkpKQYvUAiIhJfeZUKz685hm3J2bCXSbB8TEeM7dZE7LKI7sngcOPv74+zZ89CrVZjx44d6NevHwCgvLwcMhl7yBMRWZvC8io8/eVh7L9wA072Mnw1oQsGtQsUuyyi+zJ4IIJJkyZh5MiRCAwMhEQiQVxcHADg8OHDaN26tdELJCIi8VwvrsQzXx3B+dwSuDvZY9WkLujYxFPssojqZHC4eeuttxAVFYXMzEw89dRT2ukXZDIZZs2aZfQCiYhIHFfyy/D0V4eRWVABPzc5/vtcN7QKcBO7LKIHMso4N4WFhfDw8DBCOabHcW6IiB7sXHYxxn99BDdKlAjzdsa3z3VDqJez2GWRDTPpODcffPABNmzYoH0+cuRIeHt7IyQkBMnJyYZXS0REjcqxywUY+X+HcKNEiTaBCmyaHMtgQxbF4HCzcuVKhIaGAgB27dqFXbt24ZdffkH//v0xY8YMoxdIRETms+f8dTz91WGUVKrQOcwT6198CH5ujmKXRWQQg/vc5OTkaMPNtm3bMHLkSDz22GMIDw9Ht27djF4gERGZx49JWXh94ymoNAJ6t/LFZ+M6wcmBd8GS5TG45cbT0xOZmZkAgB07dmjvlhIEAWq12rjVERGRWfz3zyt4bUMSVBoBQ9sH4T/jOzPYkMUyuOVmxIgRGDt2LFq0aIH8/HwMGDAAAHDy5Ek0b97c6AUSEZHpCIKA5btT8fGuCwCA8bFheGtIJKRSjjpMlsvgcPPJJ58gPDwcmZmZWLRoEVxdXQEA2dnZePnll41eIBERmYZGI+Cd7efw9YF0AMCrfVtgWlwLTqdAFs8ot4JbEt4KTkQEVKs1ePP7ZGw5kQUAWDCkLSb1iBC5KqL7M+mt4ADw3//+Fw8//DCCgoJw5coVAMCSJUvw448/1ufliIjIjCqr1Xjp2+PYciILMqkEi0fGMNiQVTE43Hz++eeYPn06BgwYgMLCQm0nYg8PDyxZssTY9RERkREVV1ZjwtdH8Nu565DbSfF/T3fCiI4hYpdFZFQGh5tPP/0UX3zxBebMmaMzUWbnzp05KzgRUSOWV6rEmP/8icPpBXCT22HNs10R19Zf7LKIjM7gDsXp6eno0KHDXcvlcjnKysqMUhQRERnX1ZvlGP/VEVzKK4O3iwO+ebYrooLdxS6LyCQMbrmJiIhAUlLSXct37NiBNm3aGKMmIiIyotTrJXhq5SFcyitDsIcTNk2OZbAhq2Zwy8306dMxZcoUVFZWQhAEHDlyBOvWrUNCQgK+/PJLU9RIRET1dCqzEBNXHcHN8mo093PFf5/rikB3J7HLIjIpg8PN888/DycnJ8ydOxfl5eUYO3YsgoKCsHTpUowePdoUNRIRUT0cSM3Di2uOoaxKjZgQd6ya1BVeLg5il0Vkcg0a56a8vBylpaXw8/MzZk0mxXFuiMgW7Didg1fXnUSVWoMezb3xf890hqvc4P/PEjUahnx/N+iT7uzsDGdn54a8BBERGdnGo5mYtSUZGgHoHxmApWPaQ27HeaLIdugVbjp06KD3cNwnTpxoUEFERGQ4QRCQV1qFjccy8eHO8wCAUZ1D8d6IaMg4TxTZGL3CzbBhw0xcBhERPYggCMgvq8LlvDKk55Xhcn4ZLueX43JeGa7kl6NUqdJu+4+eTTGrf2vOE0U2iXNLERE1IrUB5kp+GdLzaoJLTYgpw5W8cpTcEWD+TiIBQjyd8GyPCE6nQFbHpH1umjZtiqNHj8Lb21tneWFhITp27IhLly4Z+pJERDZFEAQUlFVpW13ubIG5nFf2wAAT5O6ECB8XhHk7I8LHBeHeLgj3cUaolzP71hChHuHm8uXL2vmk7qRUKnH16lWjFEVEZOkEQcDN8uqa4HIrtKTnl99qkSlDSeWDA0y4jzPCvF0Q4e2CcB8XhHvXBBhHewYYorroHW5++ukn7c87d+6Eu/vt0S3VajUSExMREcFmUCISV5VKg2q1Biq1gGpNzZ+qO/6sVgvadWqNoN32znV3b6+BSiPo/Fy7TfXftquoViOzoBzpeWUoriPAAECQuyPCfVxqAoyPM8K9XRDh48IAQ9RAeoeb2k7FEokEEyZM0Flnb2+P8PBwfPzxx0YtjojoQfJKlfjzUj4OpuXjUFo+0vMa1xx3ge6Oty4b1bS8hPvUBJgmDDBEJqN3uNFoNABq5pY6evQofHx8TFYUEdH9FFVU40h6AQ6m5eFQWj7+yimpc3uZVAI7qQT2MinsZDU/20lrfraXSWuey6Swl0kgk0pgf2udnUwKe6lE+3PtfvayW8u0P0t1XlNuJ0WIp7M2wDg5MMAQmVu9ZgUnIjKX8ioVjl2+eatlJg8pWUXQ/O0ezzaBCnRv5o3uzbzRPtQDTg6ymrAhlUDKMV6IbI5e4WbZsmV48cUX4ejoiGXLltW57auvvqr3m+/fvx8ffvghjh8/juzsbGzduvWBY+rs3bsX06dPx5kzZxAaGoq5c+di4sSJer8nETVuSpUaSRmF2stMJzNvolqtm2aa+rrcCjM+eKipN+dLIiIdeoWbTz75BOPGjYOjoyM++eST+24nkUgMCjdlZWWIiYnBs88+ixEjRjxw+/T0dAwaNAiTJ0/G2rVrkZiYiOeffx6BgYGIj4/X+32JqPFQqTU4fa1Ye5np6OUCVFZrdLYJ9nCqCTPNvRHb1AcB7o4iVUtElqDRDOInkUge2HLz5ptvYvv27Th9+rR22ejRo1FYWIgdO3bo9T4cxI9IXBqNgPO5JdrLTIcvFdw1rouPqwNim/mgx63WmVAvJ460S2TjzDZxprkdOnQIcXFxOsvi4+Px2muv3XcfpVIJpVKpfV5cXGyq8ojoHgRBQHpemfYy06FL+Sgoq9LZRuFoh4eaet9qnfFBCz9XhhkiqjeDw41arcbq1auRmJiI69eva++iqrV7926jFfd3OTk58Pf311nm7++P4uJiVFRUwMnJ6a59EhISsHDhQpPVRER3yyqswMHUmstMB9PykVNcqbPe2UGGLuFe2n4zbYMUnNyRiIzG4HAzdepUrF69GoMGDUJUVFSj/9/V7NmzMX36dO3z4uJihIaGilgRkeXRaASUKFUorqhGYXk1iiqqUVhRVfPnredF5TXL/sopwZX8cp39HWRSdAzzQPdmPujezBvtQjzgYCcV6WiIyNoZHG7Wr1+PjRs3YuDAgaaop04BAQHIzc3VWZabmwuFQnHPVhsAkMvlkMvl5iiPqNGrrFbXBJE7Q0p51d3LKmoDy+11f7/9ui4yqQTtQty1LTOdwjw5YB0RmY3B4cbBwQHNmzc3RS0PFBsbi59//lln2a5duxAbGytKPUSNSWF5Ff536hqu5JffEU5ut7IUlldDqdI8+IXq4GgvhbuTPTycHODuZA93Z/tbz2/96WyPYE8ndAn3gpujvZGOjIjIMAaHm9dffx1Lly7F8uXLG3xJqrS0FKmpqdrn6enpSEpKgpeXF5o0aYLZs2cjKysLa9asAQBMnjwZy5cvx8yZM/Hss89i9+7d2LhxI7Zv396gOogslSAIOJFxE2v/zMC2lGxU6RFepBLcCiIOUPwtmLg73X54ODtol3k42UPhZM/WFyKyCAaHmz/++AN79uzBL7/8gsjISNjb6/7vbMuWLXq/1rFjx9C7d2/t89q+MRMmTMDq1auRnZ2NjIwM7fqIiAhs374d06ZNw9KlSxESEoIvv/ySY9yQzSmurMYPJ7Ow9s8MnM+9Pf1A20AFHm7hc0cocdANLs72cHWw46i9RGTVDB7nZtKkSXWuX7VqVYMKMjWOc0OWLPlqIdb+mYGfTl1DRbUaQM2loiHtgjDuoTDEhLg3+k7+RET1YdJxbhp7eCGyNmVKFX46dQ1rD1/B6azb4zS19HfF2K5NMLxjCNyd2L+FiKiWRQ3iR2RLzl4rxndHruCHk9dQemsEXwc7KQZGBWDcQ2HoHObJVhoionvQO9x4et77H1J3d3e0bNkSM2bMQL9+/YxaHJGtqaxWY1tyNtYevoKTGYXa5RE+LhjbtQme6BTCSSKJiB5A73CzZMmSey4vLCzE8ePHMXjwYGzevBlDhgwxVm1ENiP1egnWHs7A98evoriyppXGTipBfFQAxnVtgthm3mylISLSk97hZsKECXWub9++PRISEhhuiPSkVKmx43QO1h7OwJH0Au3yEE8njOnaBE91DoGfG2e/JiIylNH63AwePBjvvPOOsV6OyGpdzivDuiMZ2HT8qnYCSZlUgr6t/TC2WxM82sKXt2oTETWA0cKNUqmEgwP7AhDdS7Vag11nc/Hd4Qz8kZqnXR7o7ojRXZpgVJdQBLizlYaIyBiMFm6++uortG/f3lgvR2QVMgvKsf5oBjYeu4obJUoAgEQC9Grpi7HdwtC7lS/sZJxAkojImPQON3fOrH2noqIinDhxAhcuXMD+/fuNVhiRpVKpNdhz/gbWHr6CfRduoHaYTB9XOUZ3CcWoLqEI9XIWt0giIiumd7g5efLkPZcrFAr069cPW7ZsQUREhNEKI7Ikao2AlKwi7P7rOjYdy0R2UaV23cPNfTC2WxP0a+sPe7bSEBGZnN7hZs+ePaasg8iiCIKA1OulOJCahwNp+fjzUj5Kbt3CDQCezvYY2TkUo7s2QYSPi4iVEhHZHo5QTKSnqzfLcTA1HwfS8nAwLV/bh6aWm6MdHmrqjcHtAtE/KgByO86gTUQkBr3CzeTJkzF37lyEhIQ8cNsNGzZApVJh3LhxDS6OSEz5pUocTMvHwVth5kp+uc56uZ0UXcK90L25N3o080FkkIKdg4mIGgG9wo2vry8iIyPRo0cPDBkyBJ07d0ZQUBAcHR1x8+ZNnD17Fn/88QfWr1+PoKAg/Oc//zF13URGV6pU4fClfBxMy8eB1Dz8lVOis14mlSAmxB09mvugezMfdGjiAUd7ts4QETU2EkGovZejbrm5ufjyyy+xfv16nD17Vmedm5sb4uLi8Pzzz6N///4mKdRYDJkynaybUqXGiSuFOJiWhwOpeTh1tQhqje6vQ+sAt1thxhtdI7zg5sjZt4mIxGDI97fe4eZON2/eREZGBioqKuDj44NmzZpZzLw3DDe2S60RcDqrqKbPTGo+jl4ugFKl0dkmzNsZ3ZvVhJnYZt7wcZWLVC0REd3JkO/venUo9vT0hKenZ72KIzKXO+9oOnjrjqbiO+5oAgBfNzm6N6vpM9O9uTdCPDn+DBGRpePdUmQ1VGoNsosqcehSPg7eCjTX73NHU49m3ujR3AfN/VwtptWRiIj0w3BDjYZKrUGpUoXiChWKKqpRXFmNYu2fqjueq+65vKxKfddr8o4mIiLbw3BDRlVUXl2vYFJcqUKpUvXgN3iAO+9oim3mjY5NPHlHExGRjWG4IaNIzyvDrO+TcTi9oMGv5ewgg8LRHgonO7g72d/62R4KR7tbf9asu7389nM3Rzu2zBAR2bh6hRuVSoW9e/ciLS0NY8eOhZubG65duwaFQgFXV1dj10iNmFojYNWBdHy487z2ziMne5lO+HDXM5gonGrCCedfIiKihjA43Fy5cgX9+/dHRkYGlEol+vXrBzc3N3zwwQdQKpVYuXKlKeqkRijtRine2HQKJzIKAdRMEJkwIpozXhMRkagMDjdTp05F586dcerUKXh7e2uXDx8+HC+88IJRi6PGSa0R8OXvl/DxrguoUmngKrfD3EFtMKpLKO88IiIi0Rkcbn7//XccPHgQDg4OOsvDw8ORlZVltMKocUq9XoIZm5KRlFkIAHi0pS8SRkQj2MNJ3MKIiIhuMTjcaDQaqNV333J79epVuLm5GaUoanxUag3+8/slLPntIqpUGrjJ7TBvcFs81TmErTVERNSoGNxz87HHHsOSJUu0zyUSCUpLS7FgwQIMHDjQmLVRI3E+pwQjPj+IRTvOo0qlQe9Wvvh1+qMYyctQRETUCBk8t9TVq1cRHx8PQRBw8eJFdO7cGRcvXoSPjw/2798PPz8/U9VqFJxbSn/Vag3+b18aliWmokqtgcLRDguGRGJEx2CGGiIiMiuTT5ypUqmwfv16JCcno7S0FB07dsS4cePg5NT4+10w3OjnXHYx3th8CqezigEAfVv74b0R0fBXOIpcGRER2SKTT5xpZ2eHp59+ul7FUeNWrdbg871p+HT3RVSrBbg72eOtx9tiWHu21hARkWWoV7i5du0a/vjjD1y/fh0ajUZn3auvvmqUwsj8zlwrwhubknE2u6a1pl9bf7w7LAp+bK0hIiILYnC4Wb16Nf7xj3/AwcEB3t7eOv+bl0gkDDcWqEqlwfI9qfhsTypUGgGezvZ46/FIPB4TxNYaIiKyOAb3uQkNDcXkyZMxe/ZsSKWWN0w++9zoOp1VhBmbTuGvnBIAQP/IAPx7WBR83eQiV0ZERHSbSfvclJeXY/To0RYZbOg2pUqN5btT8dneNKg1ArxcHPD20EgMig5kaw0REVk0gxPKc889h02bNpmiFjKT5KuFGPLpH/h0dyrUGgGD2gVi17RHMbgdL0MREZHlM/iylFqtxuDBg1FRUYHo6GjY29vrrF+8eLFRCzQ2W74sVVmtxtLEi/jP/ktQawR4uzjg38OiMDA6UOzSiIiI6mTSy1IJCQnYuXMnWrVqBQB3dSimxulkxk28sTkZqddLAQCPxwThrccj4eXi8IA9iYiILIvB4ebjjz/G119/jYkTJ5qgHDK2ymo1PvntAr7YfwkaAfBxleOdYVHoHxUgdmlEREQmYXC4kcvl6NGjhylqISM7fuUmZm4+hbQbZQCA4R2CMX9wW3iytYaIiKyYwR2Kp06dik8//dQUtZCRVFar8e72s3hy5UGk3SiDr5scX4zvjE9GtWewISIiq2dwy82RI0ewe/dubNu2DZGRkXd1KN6yZYvRiiPDHb1cgJmbk5GeV9NaM6JjTWuNhzNDDRER2QaDw42HhwdGjBhhilqogZbvvoiPd12AIAD+CjkSRkSjT2t/scsiIiIyK4PDzapVq0xRBzVQYXkVPvr1AgDgqU4hmDu4Ldyd7B+wFxERkfWp18SZ1PgkXy0CAIR7O+PDp2JEroaIiEg8BoebiIiIOsezuXTpUoMKovpJyaoJN+1CPMQthIiISGQGh5vXXntN53l1dTVOnjyJHTt24I033jBWXWSgU5mFAIB2Ie7iFkJERCQyg8PN1KlT77l8xYoVOHbsWIMLovqpvSzFlhsiIrJ1Rpvae8CAAfj++++N9XJkgOvFlcgproRUAkQG2dZ8WURERH9ntHCzefNmeHl5GevlyAC1rTbN/VzhImcfcSIism0GfxN26NBBp0OxIAjIycnBjRs38Nlnnxm1ONJP8tVCALwkRUREBNQj3AwbNkznuVQqha+vL3r16oXWrVsbqy4yQPKtO6Vi2JmYiIjI8HCzYMECoxawYsUKfPjhh8jJyUFMTAw+/fRTdO3a9b7bL1myBJ9//jkyMjLg4+ODJ598EgkJCXB0dDRqXZZCEATtZalottwQERHpF26Ki4v1fkGFQv8OrRs2bMD06dOxcuVKdOvWDUuWLEF8fDzOnz8PPz+/u7b/7rvvMGvWLHz99dfo3r07Lly4gIkTJ0IikWDx4sV6v681uXqzAgVlVbCXSdAm0E3scoiIiESnV7jx8PCoc+A+oKYFQSKRQK1W6/3mixcvxgsvvIBJkyYBAFauXInt27fj66+/xqxZs+7a/uDBg+jRowfGjh0LAAgPD8eYMWNw+PBhvd/T2tQO3tc6QAG5nUzkaoiIiMSnV7jZs2eP0d+4qqoKx48fx+zZs7XLpFIp4uLicOjQoXvu0717d3z77bc4cuQIunbtikuXLuHnn3/GM888c9/3USqVUCqV2ueGtEJZglO3OhNHs78NERERAD3DTc+ePY3+xnl5eVCr1fD315212t/fH3/99dc99xk7dizy8vLw8MMPQxAEqFQqTJ48Gf/617/u+z4JCQlYuHChUWtvTJIz2ZmYiIjoTvUa56awsBAff/wxnn/+eTz//PP45JNPUFRUZOza7rJ371689957+Oyzz3DixAls2bIF27dvx7///e/77jN79mwUFRVpH5mZmSav01w0GgGnOacUERGRDoPvljp27Bji4+Ph5OSkvatp8eLFePfdd/Hrr7+iY8eOer2Oj48PZDIZcnNzdZbn5uYiICDgnvvMmzcPzzzzDJ5//nkAQHR0NMrKyvDiiy9izpw5kErvzmpyuRxyudyQQ7QY6fllKFGq4GgvRQs/V7HLISIiahQMbrmZNm0aHn/8cVy+fBlbtmzBli1bkJ6ejsGDB981qWZdHBwc0KlTJyQmJmqXaTQaJCYmIjY29p77lJeX3xVgZLKaTrSCIBh6KBavdvC+yCB32MmMNtg0ERGRRatXy80XX3wBO7vbu9rZ2WHmzJno3LmzQa81ffp0TJgwAZ07d0bXrl2xZMkSlJWVae+eGj9+PIKDg5GQkAAAGDJkCBYvXowOHTqgW7duSE1Nxbx58zBkyBBtyLEl2vFtgtnfhoiIqJbB4UahUCAjI+Ou0YgzMzPh5mbYOCujRo3CjRs3MH/+fOTk5KB9+/bYsWOHtpNxRkaGTkvN3LlzIZFIMHfuXGRlZcHX1xdDhgzBu+++a+hhWIXacBMTynBDRERUSyIYeD3n1VdfxdatW/HRRx+he/fuAIADBw7gjTfewBNPPIElS5aYok6jKS4uhru7O4qKigwacLCxUak1iHprJyqrNUh8vSea+bLPDRERWS9Dvr8Nbrn56KOPIJFIMH78eKhUKgCAvb09XnrpJbz//vv1q5gMdvF6KSqrNXCT2yHC20XscoiIiBoNg8ONg4MDli5dioSEBKSlpQEAmjVrBmdnZ6MXR/dX25k4KtgdUmndo0cTERHZEoNvsfn2229RXl4OZ2dnREdHIzo6msFGBKdu9bdpx/42REREOup1K7ifnx/Gjh2Ln3/+2aC5pMh4UmrDTbCHuIUQERE1MgaHm+zsbKxfvx4SiQQjR45EYGAgpkyZgoMHD5qiProHpUqNv3Jq5shqx2kXiIiIdBgcbuzs7DB48GCsXbsW169fxyeffILLly+jd+/eaNasmSlqpL85l12CarUALxcHhHg6iV0OERFRo2Jwh+I7OTs7Iz4+Hjdv3sSVK1dw7tw5Y9VFdUipnQk82B0SCTsTExER3aleY/aXl5dj7dq1GDhwIIKDg7FkyRIMHz4cZ86cMXZ9dA+1nYk5EzgREdHdDG65GT16NLZt2wZnZ2eMHDkS8+bNu+9cUGQatbeBcyZwIiKiuxkcbmQyGTZu3Ij4+HibnM9JbGVKFVKvlwJgZ2IiIqJ7MeiyVHV1NXJyctCiRQsGG5GcuVYMjQAEKBzhp3AUuxwiIqJGx6BwY29vj+TkZFPVQnq4fUmKrTZERET3YnCH4qeffhpfffWVKWohPdTOBM5wQ0REdG8G97lRqVT4+uuv8dtvv6FTp05wcdGdtHHx4sVGK47uxs7EREREdTM43Jw+fRodO3YEAFy4cEFnHcdcMa2i8mpczi8HwJYbIiKi+zE43OzZs8cUdZAeUrJqLkk18XKGh7ODyNUQERE1TvUaxA8AUlNTsXPnTlRUVAAABEEwWlF0b6fYmZiIiOiBDA43+fn56Nu3L1q2bImBAwciOzsbAPDcc8/h9ddfN3qBdFttf5sY9rchIiK6L4PDzbRp02Bvb4+MjAw4Oztrl48aNQo7duwwanGkK+XWnVLRbLkhIiK6L4P73Pz666/YuXMnQkJCdJa3aNECV65cMVphpOtGiRLXiiohkQBRwQw3RERE92Nwy01ZWZlOi02tgoICyOVyoxRFd0vJKgQANPd1hau8QZO5ExERWTWDw80jjzyCNWvWaJ9LJBJoNBosWrQIvXv3NmpxdNupTF6SIiIi0ofBTQCLFi1C3759cezYMVRVVWHmzJk4c+YMCgoKcODAAVPUSGBnYiIiIn0Z3HITFRWFCxcu4OGHH8bQoUNRVlaGESNG4OTJk2jWrJkparR5giBox7jhbeBERER1q1fnDXd3d8yZM8fYtdB9XCuqRF5pFeykErQJVIhdDhERUaNWr3Bz8+ZNfPXVVzh37hwAoG3btpg0aRK8vLyMWhzVSM4sBAC0CnCDo71M3GKIiIgaOYMvS+3fvx/h4eFYtmwZbt68iZs3b2LZsmWIiIjA/v37TVGjzUvWXpLyELcQIiIiC2Bwy82UKVMwatQofP7555DJaloR1Go1Xn75ZUyZMgUpKSlGL9LWJXPaBSIiIr0Z3HKTmpqK119/XRtsAEAmk2H69OlITU01anEEaDQCkq+yMzEREZG+DA43HTt21Pa1udO5c+cQExNjlKLotisF5SipVEFuJ0VLfzexyyEiImr0DL4s9eqrr2Lq1KlITU3FQw89BAD4888/sWLFCrz//vtITk7WbtuuXTvjVWqjai9JtQ1SwF5W70nciYiIbIbB4WbMmDEAgJkzZ95znUQigSAIkEgkUKvVDa/QxtWOTMzB+4iIiPRjcLhJT083RR10H7VzSrG/DRERkX4MDjc+Pj5wcXExRS30Nyq1BqezigEw3BAREenL4E4c/v7+ePbZZ/HHH3+Yoh66Q+qNUlRUq+Eqt0NTH1exyyEiIrIIBoebb7/9FgUFBejTpw9atmyJ999/H9euXTNFbTav9hbwqGAFpFKJyNUQERFZBoPDzbBhw/DDDz8gKysLkydPxnfffYewsDAMHjwYW7ZsgUqlMkWdNun24H0eotZBRERkSep9b7Gvry+mT5+O5ORkLF68GL/99huefPJJBAUFYf78+SgvLzdmnTaJg/cREREZrl4TZwJAbm4uvvnmG6xevRpXrlzBk08+ieeeew5Xr17FBx98gD///BO//vqrMWu1KUqVGueyazoT8zZwIiIi/RkcbrZs2YJVq1Zh586daNu2LV5++WU8/fTT8PDw0G7TvXt3tGnTxph12pzzOSWoVgvwdLZHiKeT2OUQERFZDIPDzaRJkzB69GgcOHAAXbp0uec2QUFBmDNnToOLs2Wnbl2Sig7xgETCzsRERET6MjjcZGdnw9nZuc5tnJycsGDBgnoXRUDKrc7EMexvQ0REZBC9w01xcfE9f/47hULRsIoIwO3OxNHBDDdERESG0DvceHjUfXmE80kZT3mVChdySwAAMaEe4hZDRERkYfQON3v27NH+LAgCBg4ciC+//BLBwcEmKcyWnb1WDI0A+LnJ4a9wFLscIiIii6J3uOnZs6fOc5lMhoceeghNmzY1elG27pR2fBsPcQshIiKyQPUexI9MJ5mdiYmIiOqN4aYRStHeBs5wQ0REZKgGhRuOv2J8RRXVuJRXBoCXpYiIiOpD7z43I0aM0HleWVmJyZMnw8XFRWf5li1bjFOZjTqdVdNqE+rlBC8XB5GrISIisjx6hxt3d91LJE8//bTRi6E7JssM9hC3ECIiIguld7hZtWqVSQpYsWIFPvzwQ+Tk5CAmJgaffvopunbtet/tCwsLMWfOHGzZsgUFBQUICwvDkiVLMHDgQJPUZ261nYk5EzgREVH91HtWcGPYsGEDpk+fjpUrV6Jbt25YsmQJ4uPjcf78efj5+d21fVVVFfr16wc/Pz9s3rwZwcHBuHLlis6knZYumbeBExERNYio4Wbx4sV44YUXMGnSJADAypUrsX37dnz99deYNWvWXdt//fXXKCgowMGDB2Fvbw8ACA8PN2fJJpVXqkRWYQUkEiAqmNNYEBER1Ydot4JXVVXh+PHjiIuLu12MVIq4uDgcOnTonvv89NNPiI2NxZQpU+Dv74+oqCi89957dU75oFQqUVxcrPNorGpvAW/q4wI3R3uRqyEiIrJMooWbvLw8qNVq+Pv76yz39/dHTk7OPfe5dOkSNm/eDLVajZ9//hnz5s3Dxx9/jHfeeee+75OQkAB3d3ftIzQ01KjHYUyntIP3eYhaBxERkSWzqEH8NBoN/Pz88J///AedOnXCqFGjMGfOHKxcufK++8yePRtFRUXaR2ZmphkrNgwH7yMiImo40frc+Pj4QCaTITc3V2d5bm4uAgIC7rlPYGAg7O3tIZPJtMvatGmDnJwcVFVVwcHh7nFh5HI55HK5cYs3AUEQOKcUERGREYjWcuPg4IBOnTohMTFRu0yj0SAxMRGxsbH33KdHjx5ITU2FRqPRLrtw4QICAwPvGWwsSU5xJfJKlZBJJYgMYmdiIiKi+hL1stT06dPxxRdf4JtvvsG5c+fw0ksvoaysTHv31Pjx4zF79mzt9i+99BIKCgowdepUXLhwAdu3b8d7772HKVOmiHUIRnMqs6bVpqW/GxztZQ/YmoiIiO5H1FvBR40ahRs3bmD+/PnIyclB+/btsWPHDm0n44yMDEilt/NXaGgodu7ciWnTpqFdu3YIDg7G1KlT8eabb4p1CEbDmcCJiIiMQyIIgiB2EeZUXFwMd3d3FBUVQaFoPJd/nvnqMH6/mIf3hkdjbLcmYpdDRETUqBjy/W1Rd0tZK0EQ7hiZmC03REREDcFw0whcyS9HUUU1HOykaBXgJnY5REREFo3hphFIzqpptWkbqIC9jH8lREREDcFv0kYgObMQAC9JERERGQPDTSPAmcCJiIiMh+FGZGqNgNPXasINbwMnIiJqOIYbkaXdKEV5lRrODjI09XUVuxwiIiKLx3AjslO3+ttEBbtDJpWIWwwREZEVYLgRWUoWL0kREREZE8ONyGpnAo9mZ2IiIiKjYLgRUZVKg3PXigGw5YaIiMhYGG5EdCG3BFVqDdyd7NHEy1nscoiIiKwCw42ITt2aCbxdiDskEnYmJiIiMgaGGxElZ3KyTCIiImNjuBFR7ZxSHJmYiIjIeBhuRFJRpcaF3BIAbLkhIiIyJoYbkZzNLoJaI8DXTY4AhaPY5RAREVkNhhuR1E6WGcPOxEREREbFcCOS2nATHewhbiFERERWhuFGJNrbwEPZ34aIiMiYGG5EUFJZjUs3ygAA7YIZboiIiIyJ4UYEtZNlBns4wdtVLnI1RERE1oXhRgTazsS8JEVERGR0DDciSLnKwfuIiIhMheFGBNrOxOxvQ0REZHQMN2aWX6rE1ZsVAIAojkxMRERkdAw3ZlbbmbiprwsUjvYiV0NERGR9GG7MrLYzMS9JERERmQbDjZkl1/a3YWdiIiIik2C4MTNtyw372xAREZkEw40Z5RRV4nqJEjKpBJFBDDdERESmwHBjRrW3gLfwc4WTg0zcYoiIiKwUw40ZpfCSFBERkckx3JjRKXYmJiIiMjmGGzMRBEE7xk0Mww0REZHJMNyYSWZBBQrLq+Egk6JVgJvY5RAREVkthhszqb0k1SbQDQ52PO1ERESmwm9ZM6m9JMX+NkRERKbFcGMmpzILAQDRvFOKiIjIpBhuzECtEXCanYmJiIjMguHGDNLzSlFWpYaTvQzN/VzFLoeIiMiqMdyYwanMmlabqGAFZFKJyNUQERFZN4YbM+BM4ERERObDcGMGyVmcdoGIiMhcGG5MrFqtwdlrxQDYckNERGQODDcmdj6nBEqVBgpHO4R7O4tdDhERkdVjuDGxOwfvk0jYmZiIiMjUGG5MrLYzMQfvIyIiMg+GGxOrvQ08huGGiIjILBhuTKiyWo0LuSUA2JmYiIjIXBhuTOhsdjFUGgE+rg4IdHcUuxwiIiKb0CjCzYoVKxAeHg5HR0d069YNR44c0Wu/9evXQyKRYNiwYaYtsJ6Sb02Wyc7ERERE5iN6uNmwYQOmT5+OBQsW4MSJE4iJiUF8fDyuX79e536XL1/GjBkz8Mgjj5ipUsNx8D4iIiLzEz3cLF68GC+88AImTZqEtm3bYuXKlXB2dsbXX399333UajXGjRuHhQsXomnTpmas1jDJVxluiIiIzE3UcFNVVYXjx48jLi5Ou0wqlSIuLg6HDh26735vv/02/Pz88Nxzzz3wPZRKJYqLi3Ue5lCqVCHtRikAdiYmIiIyJ1HDTV5eHtRqNfz9/XWW+/v7Iycn5577/PHHH/jqq6/wxRdf6PUeCQkJcHd31z5CQ0MbXLc+TmcVQRCAYA8n+LjKzfKeRERE1AguSxmipKQEzzzzDL744gv4+Pjotc/s2bNRVFSkfWRmZpq4yhrawfuCeUmKiIjInOzEfHMfHx/IZDLk5ubqLM/NzUVAQMBd26elpeHy5csYMmSIdplGowEA2NnZ4fz582jWrJnOPnK5HHK5+VtOTtX2twlluCEiIjInUVtuHBwc0KlTJyQmJmqXaTQaJCYmIjY29q7tW7dujZSUFCQlJWkfjz/+OHr37o2kpCSzXXLSR8rV2pGJPcQthIiIyMaI2nIDANOnT8eECRPQuXNndO3aFUuWLEFZWRkmTZoEABg/fjyCg4ORkJAAR0dHREVF6ezv4eEBAHctF9PNsipkFJQDAKJ4WYqIiMisRA83o0aNwo0bNzB//nzk5OSgffv22LFjh7aTcUZGBqRSi+oapB3fJsLHBe5O9iJXQ0REZFskgiAIYhdhTsXFxXB3d0dRUREUCoVJ3mP57ov46NcLGNo+CEtHdzDJexAREdkSQ76/LatJxELUdibmnVJERETmx3BjArW3gceEeohaBxERkS1iuDGy3OJK5BYrIZUAkUGmuexFRERE98dwY2S180m18HODs4Po/bWJiIhsDsONkdVekuJkmUREROJguDEy7Uzg7G9DREQkCoYbIxIE4XbLDe+UIiIiEgXDjRFdvVmBm+XVsJdJ0DrQTexyiIiIbBLDjRHVXpJqE6iA3E4mcjVERES2ieHGiGovSXHwPiIiIvEw3BjRqdrB+zgTOBERkWgYboxEoxFwOqsYABDN28CJiIhEw3BjJJfyylCqVMHRXooWfq5il0NERGSzOISukeQWV8LT2R7NfF1hJ2NmJCIiEgvDjZH0aO6DE/P6oUSpErsUIiIim8YmBiOSSCRQONqLXQYREZFNY7ghIiIiq8JwQ0RERFaF4YaIiIisCsMNERERWRWGGyIiIrIqDDdERERkVRhuiIiIyKow3BAREZFVYbghIiIiq8JwQ0RERFaF4YaIiIisCsMNERERWRWGGyIiIrIqdmIXYG6CIAAAiouLRa6EiIiI9FX7vV37PV4Xmws3JSUlAIDQ0FCRKyEiIiJDlZSUwN3dvc5tJII+EciKaDQaXLt2DW5ubpBIJGKX06gUFxcjNDQUmZmZUCgUYpdjkXgOG4bnr+F4DhuG56/hTHUOBUFASUkJgoKCIJXW3avG5lpupFIpQkJCxC6jUVMoFPylbiCew4bh+Ws4nsOG4flrOFOcwwe12NRih2IiIiKyKgw3REREZFUYbkhLLpdjwYIFkMvlYpdisXgOG4bnr+F4DhuG56/hGsM5tLkOxURERGTd2HJDREREVoXhhoiIiKwKww0RERFZFYYbIiIisioMNzbmrbfegkQi0Xm0bt1au76yshJTpkyBt7c3XF1d8cQTTyA3N1fEisW3f/9+DBkyBEFBQZBIJPjhhx901guCgPnz5yMwMBBOTk6Ii4vDxYsXdbYpKCjAuHHjoFAo4OHhgeeeew6lpaVmPApxPegcTpw48a7PZf/+/XW2seVzmJCQgC5dusDNzQ1+fn4YNmwYzp8/r7ONPr+7GRkZGDRoEJydneHn54c33ngDKpXKnIciCn3OX69eve76DE6ePFlnG1s9fwDw+eefo127dtqB+WJjY/HLL79o1ze2zx/DjQ2KjIxEdna29vHHH39o102bNg3/+9//sGnTJuzbtw/Xrl3DiBEjRKxWfGVlZYiJicGKFSvuuX7RokVYtmwZVq5cicOHD8PFxQXx8fGorKzUbjNu3DicOXMGu3btwrZt27B//368+OKL5joE0T3oHAJA//79dT6X69at01lvy+dw3759mDJlCv7880/s2rUL1dXVeOyxx1BWVqbd5kG/u2q1GoMGDUJVVRUOHjyIb775BqtXr8b8+fPFOCSz0uf8AcALL7yg8xlctGiRdp0tnz8ACAkJwfvvv4/jx4/j2LFj6NOnD4YOHYozZ84AaISfP4FsyoIFC4SYmJh7rissLBTs7e2FTZs2aZedO3dOACAcOnTITBU2bgCErVu3ap9rNBohICBA+PDDD7XLCgsLBblcLqxbt04QBEE4e/asAEA4evSodptffvlFkEgkQlZWltlqbyz+fg4FQRAmTJggDB069L778Bzqun79ugBA2LdvnyAI+v3u/vzzz4JUKhVycnK023z++eeCQqEQlEqleQ9AZH8/f4IgCD179hSmTp163314/u7m6ekpfPnll43y88eWGxt08eJFBAUFoWnTphg3bhwyMjIAAMePH0d1dTXi4uK027Zu3RpNmjTBoUOHxCq3UUtPT0dOTo7OOXN3d0e3bt205+zQoUPw8PBA586dtdvExcVBKpXi8OHDZq+5sdq7dy/8/PzQqlUrvPTSS8jPz9eu4znUVVRUBADw8vICoN/v7qFDhxAdHQ1/f3/tNvHx8SguLtb+79tW/P381Vq7di18fHwQFRWF2bNno7y8XLuO5+82tVqN9evXo6ysDLGxsY3y82dzE2faum7dumH16tVo1aoVsrOzsXDhQjzyyCM4ffo0cnJy4ODgAA8PD519/P39kZOTI07BjVztebnzF7b2ee26nJwc+Pn56ay3s7ODl5cXz+st/fv3x4gRIxAREYG0tDT861//woABA3Do0CHIZDKewztoNBq89tpr6NGjB6KiogBAr9/dnJyce35Oa9fZinudPwAYO3YswsLCEBQUhOTkZLz55ps4f/48tmzZAoDnDwBSUlIQGxuLyspKuLq6YuvWrWjbti2SkpIa3eeP4cbGDBgwQPtzu3bt0K1bN4SFhWHjxo1wcnISsTKyZaNHj9b+HB0djXbt2qFZs2bYu3cv+vbtK2Jljc+UKVNw+vRpnb5ypL/7nb87+29FR0cjMDAQffv2RVpaGpo1a2buMhulVq1aISkpCUVFRdi8eTMmTJiAffv2iV3WPfGylI3z8PBAy5YtkZqaioCAAFRVVaGwsFBnm9zcXAQEBIhTYCNXe17+flfAnecsICAA169f11mvUqlQUFDA83ofTZs2hY+PD1JTUwHwHNZ65ZVXsG3bNuzZswchISHa5fr87gYEBNzzc1q7zhbc7/zdS7du3QBA5zNo6+fPwcEBzZs3R6dOnZCQkICYmBgsXbq0UX7+GG5sXGlpKdLS0hAYGIhOnTrB3t4eiYmJ2vXnz59HRkYGYmNjRayy8YqIiEBAQIDOOSsuLsbhw4e15yw2NhaFhYU4fvy4dpvdu3dDo9Fo/wElXVevXkV+fj4CAwMB8BwKgoBXXnkFW7duxe7duxEREaGzXp/f3djYWKSkpOiExF27dkGhUKBt27bmORCRPOj83UtSUhIA6HwGbfX83Y9Go4FSqWycnz+jd1GmRu31118X9u7dK6SnpwsHDhwQ4uLiBB8fH+H69euCIAjC5MmThSZNmgi7d+8Wjh07JsTGxgqxsbEiVy2ukpIS4eTJk8LJkycFAMLixYuFkydPCleuXBEEQRDef/99wcPDQ/jxxx+F5ORkYejQoUJERIRQUVGhfY3+/fsLHTp0EA4fPiz88ccfQosWLYQxY8aIdUhmV9c5LCkpEWbMmCEcOnRISE9PF3777TehY8eOQosWLYTKykrta9jyOXzppZcEd3d3Ye/evUJ2drb2UV5ert3mQb+7KpVKiIqKEh577DEhKSlJ2LFjh+Dr6yvMnj1bjEMyqwedv9TUVOHtt98Wjh07JqSnpws//vij0LRpU+HRRx/VvoYtnz9BEIRZs2YJ+/btE9LT04Xk5GRh1qxZgkQiEX799VdBEBrf54/hxsaMGjVKCAwMFBwcHITg4GBh1KhRQmpqqnZ9RUWF8PLLLwuenp6Cs7OzMHz4cCE7O1vEisW3Z88eAcBdjwkTJgiCUHM7+Lx58wR/f39BLpcLffv2Fc6fP6/zGvn5+cKYMWMEV1dXQaFQCJMmTRJKSkpEOBpx1HUOy8vLhccee0zw9fUV7O3thbCwMOGFF17QuWVUEGz7HN7r3AEQVq1apd1Gn9/dy5cvCwMGDBCcnJwEHx8f4fXXXxeqq6vNfDTm96Dzl5GRITz66KOCl5eXIJfLhebNmwtvvPGGUFRUpPM6tnr+BEEQnn32WSEsLExwcHAQfH19hb59+2qDjSA0vs+fRBAEwfjtQURERETiYJ8bIiIisioMN0RERGRVGG6IiIjIqjDcEBERkVVhuCEiIiKrwnBDREREVoXhhoiIiKwKww0RERFZFYYbIjKa8PBwLFmyROwyjKJXr1547bXXzPJeEokEP/zwg1nei8gWMNwQWaCJEydCIpHc9aidwdjUVq9eDQ8Pj7uWHz16FC+++KJJ33vv3r33PHaJRIKcnByTvndDvfXWW2jfvv1dy7OzszFgwADzF0RkpezELoCI6qd///5YtWqVzjJfX1+RqjH/+58/fx4KhUJnmZ+fn9ne35gCAgLELoHIqrDlhshCyeVyBAQE6DxkMhkmTpyIYcOG6Wz72muvoVevXtrnvXr1wquvvoqZM2fCy8sLAQEBeOutt3T2KSwsxD/+8Q/4+/vD0dERUVFR2LZtG/bu3YtJkyahqKhI22JSu+/fL0tlZGRg6NChcHV1hUKhwMiRI5Gbm6tdX9uS8d///hfh4eFwd3fH6NGjUVJS8sDj9/Pzu+v4pVIpfv31Vzg6OqKwsFBn+6lTp6JPnz4AgPz8fIwZMwbBwcFwdnZGdHQ01q1bV+f73evSkYeHB1avXq19/uabb6Jly5ZwdnZG06ZNMW/ePFRXVwOoae1auHAhTp06pT1vtfv+/bVTUlLQp08fODk5wdvbGy+++CJKS0u162v/jj/66CMEBgbC29sbU6ZM0b4XAHz22Wdo0aIFHB0d4e/vjyeffPKB55TIWjDcENmob775Bi4uLjh8+DAWLVqEt99+G7t27QIAaDQaDBgwAAcOHMC3336Ls2fP4v3334dMJkP37t2xZMkSKBQKZGdnIzs7GzNmzLjr9TUaDYYOHYqCggLs27cPu3btwqVLlzBq1Cid7dLS0vDDDz9g27Zt2LZtG/bt24f333+/3sfVt29feHh44Pvvv9cuU6vV2LBhA8aNGwcAqKysRKdOnbB9+3acPn0aL774Ip555hkcOXKk3u8LAG5ubli9ejXOnj2LpUuX4osvvsAnn3wCABg1ahRef/11REZGas/b388FAJSVlSE+Ph6enp44evQoNm3ahN9++w2vvPKKznZ79uxBWloa9uzZg2+++QarV6/WhqVjx47h1Vdfxdtvv43z589jx44dePTRRxt0bESWhJeliCzUtm3b4Orqqn0+YMAAbNq0Se/927VrhwULFgAAWrRogeXLlyMxMRH9+vXDb7/9hiNHjuDcuXNo2bIlAKBp06bafd3d3SGRSOq8nJKYmIiUlBSkp6cjNDQUALBmzRpERkbi6NGj6NKlC4CaELR69Wq4ubkBAJ555hkkJibi3XffrbP+kJAQnedhYWE4c+YMZDIZRo8eje+++w7PPfectpbCwkI88cQTAIDg4GCdQPbPf/4TO3fuxMaNG9G1a9cHn7z7mDt3rvbn8PBwzJgxA+vXr8fMmTPh5OQEV1dX2NnZ1XnevvvuO1RWVmLNmjVwcXEBACxfvhxDhgzBBx98AH9/fwCAp6cnli9fDplMhtatW2PQoEFITEzECy+8gIyMDLi4uGDw4MFwc3NDWFgYOnToUO/jIrI0DDdEFqp37974/PPPtc9rvwj11a5dO53ngYGBuH79OgAgKSkJISEh2mBTH+fOnUNoaKg22ABA27Zt4eHhgXPnzmnDTXh4uDbY/L2Ouvz+++86+9nb22t/HjduHB566CFcu3YNQUFBWLt2LQYNGqTtBK1Wq/Hee+9h48aNyMrKQlVVFZRKJZydnet9vACwYcMGLFu2DGlpaSgtLYVKpbqrX9CDnDt3DjExMTp/nz169IBGo8H58+e14SYyMhIymUy7TWBgIFJSUgAA/fr1Q1hYGJo2bYr+/fujf//+GD58eIOPj8hS8LIUkYVycXFB8+bNtY/AwEAAgFQqhSAIOtve2Rej1p1hAKjp96HRaAAATk5OJqr6bnXVUZeIiAid4w8LC9Ou69KlC5o1a4b169ejoqICW7du1V6SAoAPP/wQS5cuxZtvvok9e/YgKSkJ8fHxqKqquu/7SSSSOs/roUOHMG7cOAwcOBDbtm3DyZMnMWfOnDpfsyHqOm9ubm44ceIE1q1bh8DAQMyfPx8xMTF39UMislYMN0RWxtfXF9nZ2TrLkpKSDHqNdu3a4erVq7hw4cI91zs4OECtVtf5Gm3atEFmZiYyMzO1y86ePYvCwkK0bdvWoHrqY9y4cVi7di3+97//QSqVYtCgQdp1Bw4cwNChQ/H0008jJiYGTZs2ve+x1vr7eb148SLKy8u1zw8ePIiwsDDMmTMHnTt3RosWLXDlyhWd19D3vJ06dQplZWU69UqlUrRq1UqvYwcAOzs7xMXFYdGiRUhOTsbly5exe/duvfcnsmQMN0RWpk+fPjh27BjWrFmDixcvYsGCBTh9+rRBr9GzZ088+uijeOKJJ7Br1y6kp6fjl19+wY4dOwDUXEoqLS1FYmIi8vLydL7ka8XFxSE6Ohrjxo3DiRMncOTIEYwfPx49e/ZE586dG3yc169fR05Ojs7jzpaU2vd999138eSTT0Iul2vXtWjRArt27cLBgwdx7tw5/OMf/9C5i+te+vTpg+XLl+PkyZM4duwYJk+erNN60qJFC2RkZGD9+vVIS0vDsmXLsHXrVp3XCA8PR3p6OpKSkpCXlwelUnnX+4wbNw6Ojo6YMGECTp8+jT179uCf//wnnnnmGe0lqQfZtm0bli1bhqSkJFy5cgVr1qyBRqMxKBwRWTKGGyIrEx8fj3nz5mHmzJno0qULSkpKMH78eINf5/vvv0eXLl0wZswYtG3bFjNnztS2OnTv3h2TJ0/GqFGj4Ovri0WLFt21v0QiwY8//ghPT088+uijiIuLQ9OmTbFhw4YGHyMAtGrVCoGBgTqP48ePa9c3b94cXbt2RXJyss4lKaCm42/Hjh0RHx+PXr16ISAg4K7b5//u448/RmhoKB555BGMHTsWM2bM0OnD8vjjj2PatGl45ZVX0L59exw8eBDz5s3TeY0nnngC/fv3R+/eveHr63vP28+dnZ2xc+dOFBQUoEuXLnjyySfRt29fLF++XO9z4+HhgS1btqBPnz5o06YNVq5ciXXr1iEyMlLv1yCyZBLh7xeRiYiIiCwYW26IiIjIqjDcEBERkVVhuCEiIiKrwnBDREREVoXhhoiIiKwKww0RERFZFYYbIiIisioMN0RERGRVGG6IiIjIqjDcEBERkVVhuCEiIiKr8v+hIfoxCokj0AAAAABJRU5ErkJggg==", @@ -101,10 +112,21 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 5, "id": "19f275d7", "metadata": {}, "outputs": [ + { + "data": { + "text/plain": [ + "(
,\n", + " )" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + }, { "data": { "image/png": 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", diff --git a/src/paretobench/plotting/metrics.py b/src/paretobench/plotting/metrics.py index 11fd7ec..0a143d5 100644 --- a/src/paretobench/plotting/metrics.py +++ b/src/paretobench/plotting/metrics.py @@ -6,25 +6,52 @@ def plot_metric_history( - hist: History, metric: Metric, x_axis: Literal["fevals", "generation"] = "fevals", fig=None, ax=None + hist: History, + metric: Metric, + x_axis: Literal["fevals", "generation"] = "fevals", + fig: plt.Figure | None = None, + ax: plt.Axes | None = None, ): + """ + Evaluate and plot evolution of a metric across the populations within a `History` object. + + Parameters + ---------- + hist : History + The genetic algorithm history to plot + metric : Metric + The metric to evaluate and plot + x_axis : Literal["fevals", "generation"] + What value to use for x-axis in plot + fig : plt.Figure | None + Matplotlib figure if plotting to user-provided figure (must also specify axis) + ax : plt.Axes | None + Matplotlib axis to place plot into (must also specify figure) + + Returns + ------- + plt.Figure, plt.Axes + The matplotlib figure and axis the data was plotted to + """ # Calculate the metrics from the history object df = eval_metrics(hist, metric) - # Plot the data if fig is None or ax is None: fig, ax = plt.subplots() + # Grab the x values and axis label if x_axis == "fevals": x_vals = df["fevals"] + xlabel = "Function Evaluations" elif x_axis == "generation": x_vals = df["pop_idx"] + xlabel = "Generation" else: raise ValueError(f"Unrecognized value for `x_axis`: {x_vals}") + # Plot the data ax.plot(x_vals, df[metric.name]) - if x_axis == "fevals": - ax.set_xlabel("Function Evaluations") - elif x_axis == "generation": - ax.set_xlabel("Generation") + ax.set_xlabel(xlabel) ax.set_ylabel(metric.get_plot_label()) + + return fig, ax From 0beee39cd20acd092bb6b3b02355f047ff0ff6c3 Mon Sep 17 00:00:00 2001 From: "Christopher M. Pierce" Date: Fri, 13 Mar 2026 01:21:24 -0700 Subject: [PATCH 4/8] clean up --- example_notebooks/plotting_metrics.ipynb | 5 ++--- 1 file changed, 2 insertions(+), 3 deletions(-) diff --git a/example_notebooks/plotting_metrics.ipynb b/example_notebooks/plotting_metrics.ipynb index 64106e6..ad03033 100644 --- a/example_notebooks/plotting_metrics.ipynb +++ b/example_notebooks/plotting_metrics.ipynb @@ -23,7 +23,7 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "d05faebb", "metadata": {}, "outputs": [ @@ -41,8 +41,7 @@ "source": [ "# Load an experiment and get the history object from it\n", "exp = pb.Experiment.load(\"data/NSGAII.h5\")\n", - "hist = exp.runs[0]\n", - "hist.problem" + "hist = exp.runs[0]" ] }, { From 0e1eda8b86c92d19206f34a2aa7d45b45c184196 Mon Sep 17 00:00:00 2001 From: "Christopher M. Pierce" Date: Fri, 13 Mar 2026 01:22:06 -0700 Subject: [PATCH 5/8] rerun --- example_notebooks/plotting_metrics.ipynb | 15 ++------------- 1 file changed, 2 insertions(+), 13 deletions(-) diff --git a/example_notebooks/plotting_metrics.ipynb b/example_notebooks/plotting_metrics.ipynb index ad03033..ef1e345 100644 --- a/example_notebooks/plotting_metrics.ipynb +++ b/example_notebooks/plotting_metrics.ipynb @@ -23,21 +23,10 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "id": "d05faebb", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "'WFG1 (m=2,n=16,k=2)'" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "# Load an experiment and get the history object from it\n", "exp = pb.Experiment.load(\"data/NSGAII.h5\")\n", From 53ee1734cb5f55fd5c50a5fa125d14d1daec105a Mon Sep 17 00:00:00 2001 From: "Christopher M. Pierce" Date: Sat, 14 Mar 2026 00:52:34 -0700 Subject: [PATCH 6/8] remove units; user problems might have units for objectives which would make this incorrect --- src/paretobench/metrics.py | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/src/paretobench/metrics.py b/src/paretobench/metrics.py index 4ee1258..6f76ead 100644 --- a/src/paretobench/metrics.py +++ b/src/paretobench/metrics.py @@ -67,7 +67,7 @@ def name(self): return "igd" def get_plot_label(self) -> str: - return "IGD (Unitless)" + return "IGD" class Hypervolume(Metric): @@ -144,7 +144,7 @@ def name(self): return "hypervolume" def get_plot_label(self) -> str: - return "Hypervolume (Unitless)" + return "Hypervolume" @dataclass From 54b639193cd4c0e1ae788d306f756be18332578b Mon Sep 17 00:00:00 2001 From: "Christopher M. Pierce" Date: Sat, 14 Mar 2026 00:53:38 -0700 Subject: [PATCH 7/8] update ntoebook --- example_notebooks/plotting_metrics.ipynb | 12 ++++++------ 1 file changed, 6 insertions(+), 6 deletions(-) diff --git a/example_notebooks/plotting_metrics.ipynb b/example_notebooks/plotting_metrics.ipynb index ef1e345..b441173 100644 --- a/example_notebooks/plotting_metrics.ipynb +++ b/example_notebooks/plotting_metrics.ipynb @@ -51,7 +51,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -75,7 +75,7 @@ "data": { "text/plain": [ "(
,\n", - " )" + " )" ] }, "execution_count": 4, @@ -84,7 +84,7 @@ }, { "data": { - "image/png": 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", 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", 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" ] @@ -108,7 +108,7 @@ "data": { "text/plain": [ "(
,\n", - " )" + " )" ] }, "execution_count": 5, @@ -117,7 +117,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -148,7 +148,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.1" + "version": "3.11.14" } }, "nbformat": 4, From b724e2435b84874a763096a75f50caeef65f6ba0 Mon Sep 17 00:00:00 2001 From: "Christopher M. Pierce" Date: Sat, 14 Mar 2026 00:56:40 -0700 Subject: [PATCH 8/8] lint --- src/paretobench/metrics.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/src/paretobench/metrics.py b/src/paretobench/metrics.py index b821cc9..fde023a 100644 --- a/src/paretobench/metrics.py +++ b/src/paretobench/metrics.py @@ -23,7 +23,7 @@ def name(self): def get_plot_label(self) -> str: """Returns label for y axis of plots with the metric.""" raise NotImplementedError - + def __call__(self, pop: Population, problem: Union[Problem, str]): """ Evaluate the metric.