weightstats.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8235d3e0-1dac-4a0e-8aa6-8d50d33640a3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "import json\n",
    "import string\n",
    "from collections import defaultdict\n",
    "\n",
    "\n",
    "def rerender_chord(chord):\n",
    "    out = \"\"\n",
    "    had_hyphen = False\n",
    "    had_mid = False\n",
    "    for i in chord:\n",
    "        if i == \"-\":\n",
    "            out += i\n",
    "            had_hyphen = True\n",
    "        elif i in \"*EU\" and not had_hyphen:\n",
    "            out += \"-\" + i\n",
    "            had_hyphen = True\n",
    "        elif i not in \"AO*EU\" and had_mid and not had_hyphen:\n",
    "            out += \"-\" + i\n",
    "            had_hyphen = True\n",
    "        else:\n",
    "            out += i\n",
    "            if i in \"AO\":\n",
    "                had_mid = True\n",
    "    return out\n",
    "\n",
    "\n",
    "def rerender_chords(s):\n",
    "    return \"/\".join(\n",
    "        rerender_chord(i.strip())\n",
    "        for i in s.split(\"/\") if i.strip()\n",
    "    )\n",
    "\n",
    "\n",
    "def valid(s):\n",
    "    return set(s) <= set(string.ascii_uppercase + \"*#-/ \")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "7ae6d6c1-88c4-49df-ac2e-566d17bdfd0e",
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(\"../plover/plover/assets/main.json\") as f:  # ../plover is the cloned Plover repository from https://github.com/openstenoproject/plover\n",
    "    dictionary = json.load(f)\n",
    "\n",
    "dict_rev = defaultdict(lambda: [])\n",
    "for k, v in dictionary.items():\n",
    "    if valid(k):\n",
    "        dict_rev[v.lower()].append(rerender_chords(k))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "id": "a5d9f157-6af4-4671-a1f1-e24be455f8e0",
   "metadata": {},
   "outputs": [],
   "source": [
    "min_weights = defaultdict(lambda: float(\"inf\"))\n",
    "min_idxs = defaultdict(lambda: float(\"inf\"))\n",
    "included_translations = defaultdict(lambda: 0)\n",
    "included_translations_max = defaultdict(lambda: 0)\n",
    "data = defaultdict(lambda: [])\n",
    "times = []\n",
    "\n",
    "with open(\"translated-final\") as f:\n",
    "    for i in f:\n",
    "        item = json.loads(i)\n",
    "        word = item[\"word\"]\n",
    "        data[word].append(item)\n",
    "        times.append(item[\"time\"])\n",
    "        if word in dict_rev:\n",
    "            plover_candidates = dict_rev[item[\"word\"]]\n",
    "\n",
    "            first_weight = item[\"translations\"][0][\"weight\"]\n",
    "            min_weight = min(\n",
    "                (\n",
    "                    j[\"weight\"] - first_weight\n",
    "                    for j in item[\"translations\"]\n",
    "                    if j[\"translation\"] in plover_candidates\n",
    "                ),\n",
    "                default=float(\"inf\")\n",
    "            )\n",
    "            min_idx = min(\n",
    "                (\n",
    "                    idx\n",
    "                    for idx, j in enumerate(item[\"translations\"])\n",
    "                    if j[\"translation\"] in plover_candidates\n",
    "                ),\n",
    "                default=float(\"inf\")\n",
    "            )\n",
    "\n",
    "            included = sum(\n",
    "                1\n",
    "                for j in item[\"translations\"]\n",
    "                if j[\"translation\"] in plover_candidates\n",
    "            )\n",
    "\n",
    "            min_weights[word] = \\\n",
    "                min(min_weights[word], min_weight)\n",
    "            min_idxs[word] = \\\n",
    "                min(min_idxs[word], min_idx)\n",
    "\n",
    "            included_translations[word] += included\n",
    "            included_translations_max[word] += \\\n",
    "                len(plover_candidates)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "id": "b264313c-89fc-43ea-8667-35345e88a2e3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# https://blog.timodenk.com/exporting-matplotlib-plots-to-latex/\n",
    "matplotlib.use(\"pgf\")\n",
    "matplotlib.rcParams.update({\n",
    "    \"pgf.texsystem\": \"pdflatex\",\n",
    "    'font.family': 'serif',\n",
    "    'text.usetex': True,\n",
    "    'pgf.rcfonts': False,\n",
    "    \"figure.figsize\" : (2.5, 1.75)\n",
    "})\n",
    "matplotlib.rcParams['text.latex.preamble'] = r'\\renewcommand{\\mathdefault}[1][]{}' # https://git.ligo.org/lscsoft/bilby/-/issues/482"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "id": "a7a06350-cec3-4be5-ae91-c6d2a009abc0",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "id": "c673c384-c879-4ca3-9aa1-1ccd6e60479f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(13189, 40494)"
      ]
     },
     "execution_count": 121,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(counts := (sum(1 for i in included_translations.values() if i == 0), len(included_translations)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "id": "b9429a35-b3e7-44ff-8b23-7aaec67e6022",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "32.57025732207241"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "counts[0] / counts[1] * 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "id": "d6a4cd64-251e-4044-9537-9b3ae7fb3060",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist([v / included_translations_max[k] for k, v in included_translations.items()])\n",
    "plt.ylabel(\"number of entries\")\n",
    "plt.xlabel(\"overlap ratio per word\")\n",
    "plt.savefig(\"ratiohist.pgf\", bbox_inches='tight')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "id": "3dfab0f8-efa1-4a34-b6b7-5f44b0ca69b2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist([v / included_translations_max[k] for k, v in included_translations.items() if v != 0 and included_translations_max[k] > 1])\n",
    "plt.ylabel(\"number of entries\")\n",
    "plt.xlabel(\"overlap ratio per word\")\n",
    "plt.savefig(\"ratiohist2.pgf\", bbox_inches='tight')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "id": "c5726084-b308-4e31-aa03-029df3ee4189",
   "metadata": {},
   "outputs": [],
   "source": [
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "id": "18a79c63-cfba-4e7c-a706-2a642d6fb9b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[('abu', ['A-B/SKWR-U'], ['A-B', 'A-*B', 'PWAO-U']),\n",
       " ('indiscriminate',\n",
       "  ['-EUPB/TK-EUS/SKR-EUPL/KR-*EUPL/TPHA-T',\n",
       "   '-EUPB/TK-EUS/KRA-EUPL/TPHA-T',\n",
       "   '-EUPB/TK-EUS/KR-EUPL/TPHA-EUT',\n",
       "   '-EUPBD/SKR-EUPL/TPHA-PBT',\n",
       "   '-EUPBDZ/KR-EUPL/TPHA-EUT'],\n",
       "  ['-EUPBD/SKR-EUPLT', '-EUPBD/SKR-EUPL/TPHA-T', '-EUPBD/SKR-*EUPLT']),\n",
       " ('duchy', ['TK-UFP/KWR-EU'], ['TK-UFP', 'TK-*UFP', 'TK-U/KHAO-E']),\n",
       " ('spontaneously',\n",
       "  ['SPA-*EUPBLS', 'SPA-EUPBLS', 'SPO-PB/TA-EUPB/SHR-EU'],\n",
       "  ['SPO-PB/TA-EUPBLS', 'SPO-PB/TA-EUFPBL', 'SPO-PB/TA-EUPB/SHRAO-E']),\n",
       " ('grumpy',\n",
       "  ['TKPWR-UFRP/P-EU', 'TKPWR-UPL/P-EU'],\n",
       "  ['TKPWR-*UPL', 'TKPWR-UPL/PAO-E', 'TKPWR-UPL/P-E']),\n",
       " ('grouchy',\n",
       "  ['TKPWRO-U/KH-EU', 'TKPWRO-UFP/KWR-EU', 'TKPWRO-UFP/KH-EU'],\n",
       "  ['TKPWRO-UFP', 'TKPWRO-*UFP', 'TKPWRO-U/KHAO-E']),\n",
       " ('fallacy',\n",
       "  ['TPA-L/S-EU', 'TPA-L/HRA/S-EU'],\n",
       "  ['TPA-ELS', 'TPA-LS', 'TPA-EFL']),\n",
       " ('forgive',\n",
       "  ['TPA-UR/TKPW-EUF', 'TPA-URG'],\n",
       "  ['TPO-R/TKPW-*EUF',\n",
       "   'TPO-R/TKPW-EUF',\n",
       "   'TPO-RG/-*EUF',\n",
       "   'TPO-R/TKPW-*EUF',\n",
       "   'TPO-R/TKPW-EUF',\n",
       "   'TPO-RG/-*EUF']),\n",
       " ('engenders',\n",
       "  ['-EPB/SKWR-EPBD/-ERS'],\n",
       "  ['-EPBG/TKPW-ERPBDZ', '-EPBG/TKPW-EPBDZ', '-EPBG/TKPW-ERPBSD']),\n",
       " ('baskerville',\n",
       "  ['PWA-FBG/-*ER/SR-EUL', 'PWA-S/K-ER/SR-EUL'],\n",
       "  ['PWA-FRBG/SR-EUL', 'PWA-FBG/SR-EUL', 'PWA-RBGS/SR-EUL']),\n",
       " ('capitalizing',\n",
       "  ['KA-PT/HRAO-EUZ/-G'],\n",
       "  ['KA-PT/HRAO-EUGZ', 'KA-PT/HRAO-EUGS', 'KRA-PT/HRAO-EUGZ']),\n",
       " ('realignment',\n",
       "  ['RAO-E/A/HRAO-EUPLT', 'R-E/A/HRAO-EUPLT'],\n",
       "  ['RA-E/HRAO-EUPB/PH-EPBT', 'RA-E/HRAO-EUPB/-PLT', 'HRAO-EUPB/PH-EPBT']),\n",
       " ('cochrane',\n",
       "  ['KO-BG/RA-*EUPB', 'KO-BG/RA-EUPB', 'KO-BG/RA-PB'],\n",
       "  ['KO/KRA-PB', 'KRO/KRA-PB', 'KO/KRA-*PB']),\n",
       " ('burrough', ['PW-*UR/RO-E'], ['PW-UR', 'PW-*UR', 'PW-UR/O-E']),\n",
       " ('ingratiate',\n",
       "  ['-EUPB/TKPWRA-EU/SHA-EUT', '-EUPB/TKPWRA-EURB/KWRA-EUT'],\n",
       "  ['-EUPBG/TKPWRA-EU/SHA-EUT',\n",
       "   '-EUPBG/TKPWRA-EURBT',\n",
       "   '-EUPBG/TKPWRA-EURB/A-EUT']),\n",
       " ('cooperative',\n",
       "  ['KWO-P/T-EUF',\n",
       "   'KAO-P/T-*EUF',\n",
       "   'KAO-P/T-EUF',\n",
       "   'KAO-PT/T-*EUF',\n",
       "   'KAO-PT/T-EUF',\n",
       "   'KAO-PT/-*EUF',\n",
       "   'KO/O-P/RA/T-*EUF',\n",
       "   'KO/O-P/RA-T/-*EUF'],\n",
       "  ['KO-P/RA-EUFT', 'KRO-P/RA-EUFT', 'KO-P/RA-*EUFT']),\n",
       " ('definable',\n",
       "  ['TK-E/TPAO-EUPB/-BL'],\n",
       "  ['TK/TPAO-EUBL', 'TK/TPAO-EUPB/PW-EL', 'TK/TPAO-*EUBL']),\n",
       " ('ravaged',\n",
       "  ['RA/SRA-PBLG/-D', 'RA-F/A-PBLGD'],\n",
       "  ['RA-*FPBLGD', 'RA-FPBLGD', 'RA/SR-EUPBLGD']),\n",
       " ('nonstop',\n",
       "  ['TPHO-*PB/STO-P'],\n",
       "  ['TPHO-PB/STO-P', 'TPHO-PB/STO-*P', 'TPHO-FPBT/O-P']),\n",
       " ('askance',\n",
       "  ['A-S/SKA-PBS', 'A-S/KA-PBS'],\n",
       "  ['SKA-PBS', 'SKA-*PBS', 'SKA-PB/-S'])]"
      ]
     },
     "execution_count": 126,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[(i, dict_rev[i], [k[\"translation\"] for j in data[i] for k, _ in zip(j[\"translations\"], range(3))]) for i in random.choices([k for k, v in included_translations.items() if v == 0], k=20)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "id": "cfce63f7-cc11-4244-9c02-754742efddda",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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02+2xy29vb3F7e2u/7na7AMY3rR/22+3/eguQaAHcd30P1o+rhhi2NIljkkkJpVwu49WrVyPLnz59OueIiB5O8B/utvv8+fPUksTSJA5JkkbuLtrt9sSnKqVSCT/88IP9+rfffkO73cb6+rrdsO2uXq+Hp0+f4uPHj2wVOwc8v/Pl5vxaloXPnz/j66+/nrqvpUkciqKgWq2OLJ8018uTJ0/w5MkTxzK3j27X1tZ4Yc8Rz+983Xd+3dRZLs1APrIsO14bhoFkMsl2HERzsDR3HACgqiqKxSJSqRTOzs7YhoNoTpYqcciybE8KlclkfN//kydP8Le//W2kiEP+4PmdLz/Pb8C677kLEdEdS1PHQURfDhMHEQlj4iAiYUtVOeoHka757MYvTuScDfoZxeNxGIaBTqeDeDz+BaN9fHRdRz6ft3uJTzLztWuRQzwet//farWsTCbjy7bUJ3LOCoWCBcACYCmKYpmm+QUifLxUVbUuLi4sN1/rWa9d3nEMEemaz2784kTPWSKRgGmaANy36l1lbpsg+HHtso5jiEjXfHbjF+flnEmSxKThMz+uXd5xDBHpmi/ajZ/Ez1mn07Hn7jk7O8Pu7u5I1wIS58e1y8ThwqQTPeu21DfpnA1X2MmyjHQ6jVar9eUCWzEi1y6LKkNEuuaLduMn8XM2XBYf1P7fLZ+TOD+uXSaOIZPmwx3XNV9kW+oTOWe6ro+dn+du2ZzE+XHtMnEMua9rvq7r9l88duMXJ3p+Bx0WgX6FXiaT4fl16W6xw+9rl53c7jAMA9Vq1e6aXyqV7BOazWaRSqWwt7d377Y0nsj51XUdmqZBkiS0Wi1HIqFRmqah2Wzi4OAAe3t7SKVS9iNav69dJg4iEsaiChEJY+IgImFMHEQkjImDiIQxcRCRMCaOJdDpdKBpGpu70xfDxPEFJRIJu9OWXzqdDvL5PGRZHtvSclHVajWEQqG59ia+73xrmoZEIoFareb5GMVi8UET9jyuKVeERu8gIXcHnmk2m74PRqOqqlWpVMYeb9EpimJdXFzMbf/jzvfd13t7e1a1WvW0/8GgOfM67272O49ryg3eccyJYRio1+uOZYqi+N6y1DAMe59step093yP+0zW19c9798wjLl18x8X6zjzuKbcYOKYEzaPXjx+fiaNRmMuk34NLPr1w8ThgqZpiEajqNVqqNVqSCQSAPoXj6ZpqNVqKBaLju3Pz8/RbDZRq9VgGAZ0XR8pT+u6joODAzQaDRwcHNidkDqdDmq1GjRNQ6PRcOx7mK7raDabUFXV3u+kfU56D3c1Gg2EQiHs7u5C13Wk02mk02m7AjYUCtllatFj6bqOYrGIRqOBRqPh6Nrt9j27je/u+R73mQwfe/A5ZrPZsccd1ul0XP+V1zTNPkeD9zRctzLuuONiHXdOx11T447n9twK+eKFo0eqUChYhULBsqx+vYJlWRYAq9Vq2esHyy1rfNm5UqnYy1qtlqUoimN9PB63TNO0KpWK1Ww27eXTyuCVSsWu45i2z0nvYZy9vT17n81m0zGQrZv4xx3LNE1LluWR7Qd1HCLv2U18g30Ov570mQz/vpt6l+F9yLI8sY6h1Wo5BgWuVqt23Ht7e1OPOy7WcZ/f3Wtq3PFEzq1bvONwSZIkRKNRAP8/KKxpmvYAM+12W2iQmWq1OjLUvyzLqNfryGQyyGazSCQSODg4wM7Ozsz7nPQextnd3cXR0RGA/l+rwdQEmqbZsYgeq16vj2w/PLaGyHt2E5+IVCpl/3/cIDfDRI5RrVYRDoehaZo9GPDZ2RmAft2KyHEH20z7/CYdz+v1NA2HDhRwtyKsXC5jfX0dmUxmaiWZyK0t0P9CmaYJXddxdHSEbDaLZrPpNWwHN5V5g20Gj0pzuRzq9TrC4bDQ+xCpOBR5z37EJ/qZDBuutDQMA+VyGblcbuycL/F43DFwTqFQED7ecKz3ndNxx+t0Or5fT7zjEDD8F0HTNOi6jr29PciybD/LHzfM/PCywXa5XG5kW13XsbOzg3K5DMMwEI/HUalUXF/g0/Y57j1Ms7u7i3w+j0wmg0KhgGq1OtOxFEUZabMxfIcm+p7vi29gUhsLr1NZKIqCQqFg/wxiGZc0xp0jL8cd/p1pA2dPOp7X62ka3nG4MLj103UdsixDURR7xKTBB5XNZlGtVu2/CLu7u6hUKqjVavaX5ujoCOFwGJlMxv4QDw4OIMsyzs7OoKoqJEnC+vq6PYR9u91GLpcbG9fwPmVZRiaTmbjPce9hmp2dHXs2MEmS7P0PTIt/3LFkWYaqqigWi3ZlpiRJKJfLqFQqrt+z2/junm9Zlid+JkA/IQwqsQef4313kYNKyUqlMjZ5DM5RsVi0iyVuj3s31nHndNI1Ne54IufWDQ7kQ0TCWFQhImFMHEQkjImDiIQxcRCRMCYOIhLGxEFEwpg4iEgYEwcRCWPiICJhTBxEJIyJg4iEMXEQkbD/A+cKdRWCkQGXAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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cBop0Og1Zlh/sekQv1VzdpwuFwtD3hzbatiGKIhRFeZRrE700c5Uc/H7/0PeHpigKAoHA0LZAIABVVRGJRMaOv7m5wc3NjfW61+sBsO/tedfXm//zILVET+O++3uw367kf9dSzecwuvzeQLfbtd1eLBbx448/jm3f2NjwMllEC8X/v86O+/Lly9R/7EsVHCaZFDQKhQJ++OEH6/XXr1/R7Xaxvr5u9dEY1e/3sbGxgc+fP7MT1wNg/j4sJ/lrmia+fPmC7777buq5lio4CIIwVkrodrsTn1asrKxgZWVl7BxOrK6u8uZ9QMzfh3Vf/jppCliq+RwmDfbiehlE3luq4CCK4tBrTdMQi8XYz4HoASxVtQIAZFlGPp9HPB5Hu932vI/DysoK/vGPf4xVR8gbzN+H5WX++sz7nmcQ0Yu0VNUKIno8DA5EZIvBgYhsLV2DpBfcjOzkKFD33OTZYIrBSCQCTdNgGIZtV3j6L1VVkU6nrQGIk8x975ovUCQSsX7udDpmIpHw5Fi65SbPMpmMCcAEYEqSZOq6/ggpXF6yLJvn5+emkz/dee/dF1dycDOyk6NA3XObZ9FoFLquA3Dee/UlSyQSjo7z4t59cW0O00Z2znMs3ZolzwRBYGDwmBf37osrObgZ2el2FCi5zzPDMKwlDtrtNrLZ7FhPWHLPi3v3xQWHSSZl5rzH0q1JeXa3kUwURezs7KDT6Txewl4YN/fui6tWuBnZ6XYUKLnPs7t140Gr+mh9mdzz4t59ccHBzchOjgJ1z02eqapqu4zBaF2Z3PPi3n1xweG+kZ2qqlr/uTgK1D23+VsqlaxjFUVBIpFg/jo0WkXw+t59kQOvNE1DpVKxRnYWCgUr05LJJOLxOHK53L3Hkj03+auqKhRFgSAI6HQ6Q8GCximKgmaziXK5jFwuh3g8bj3e9PrefZHBgYju9+KqFUTkDIMDEdlicCAiWwwORGSLwYGIbDE4LAnDMKAoCrtu06NhcPBYNBq1BhJ5xTAMpNNpiKJo26NwUVWrVaytrT3oKNb78ltRFESjUVSrVdfnVhQF1WoViqI86VD9h7inHHE1+wONGZ2cpNlsej5hiSzLZqlUsr3eopMkyTw/P3+w89vl9+jrXC5nVioV1+fNZDKmad5OlCKK4jzJnMjJ5/kQ95QTLDnMQdM01Ov1oW2SJHneg1LTNOuc7J05bDS/7T6T9fV11+fNZrNWb01RFNFsNudKpx27tNp5iHvKCQaHObCr7+Lx4jPRNM0awaiqKgzDeJA5Jhb9/mFw+A9FURAKhVCtVlGtVhGNRgEAjUbDqnvm8/mh48/OztBsNlGtVqFpGlRVHavfqqqKcrmMRqOBcrlsDYwxDMOqzzYajaFz36WqKprNJmRZts476ZyT3sOoRqOBtbU1ZLNZqKqKnZ0d7OzsWI2ea2trVh3X7bVUVUU+n0ej0UCj0RgaNuz0PTtN32h+230md689+ByTyaTtde/meSAQsCZnrVar97ZrDPJo8J7utnXYXdcurXZ5andP2V3Pad668ugVmQWWyWSseqYsy6ZpmiYAs9PpWPsH203Tvi5bKpWsbZ1Ox5QkaWh/JBIxdV03S6WS2Ww2re3T6sSlUslqc5h2zknvwU4ul7PO2Ww2hyYfdZJ+u2vpuj5WN49EIlabg5v37CR9g3PefT3pM7n7+/e1g1QqFROA9T51XZ84oWun0xmayLVSqVjpzuVyU69rl1a7z2/0nrK7npu8dYolhzsEQUAoFALw34k8dV23JiHpdruuJiKpVCpj06yLooh6vY5EIoFkMoloNIpyuYxUKjX3OSe9BzvZbBa1Wg3A7X+dwbTwiqJYaXF7rXq9Pnb83bkZ3LxnJ+lzIx6PWz/bTYQy+h7vzmt5d7j5qEqlgkAgMPREo91uA7ht63Bz3cEx0z6/Sdeb9X6ahtPEjRitWxaLRayvryORSEytdxqG4arRKBAIQNd1qKqKWq2GZDLpWaOXk/rx4JjBDb+3t4d6vY5AIODqfbipi7t5z16kz+1nMnptpyKRyNDkKplMxvU176b1vuvbXc8wDM/vJ5YcRtyN7IqiQFVV5HI5iKJodUCye+Z9d9vguL29vbFjVVVFKpVCsViEpmmIRCIolUqOb+Jp57R7D9Nks1mk02kkEglkMhlUKpW5riVJ0th/17slLbfv+b70DUzqGDZr3wRRFBGLxazzapoGURRtF9uxy6NZrnv3d6ZNdjzperPeT9Ow5PAfg2KaqqoQRRGSJFkz5ww+jGQyiUqlYkX2weOuarVq/WHUajUEAgEkEgnrgyqXyxBFEe12G7IsQxAErK+vW9OHd7td7O3t2abr7jlFUUQikZh4Trv3ME0qlbJWTRIEwTr/wLT0211LFEXIsox8Pm81IAqCgGKxiFKp5Pg9O03faH6LojjxMwFug9eg4XjwOU76Lz14H9FoFOfn5xP/Cw/yKJ/PW1UIp9cdTatdnk66p+yu5yZvneBkL0Rki9UKIrLF4EBEthgciMgWgwMR2WJwICJbDA5EZIvBgYhsMTgQkS0GByKyxeBARLYYHIjIFoMDEdn6f5Y85N8C4cXBAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(1, 11):\n",
    "    plt.hist([v / included_translations_max[k] for k, v in included_translations.items() if included_translations_max[k] == i], bins=i + 1)\n",
    "    total = len([v / included_translations_max[k] for k, v in included_translations.items() if included_translations_max[k] == i])\n",
    "    plt.ylabel(f\"\\# of entries (of {total})\")\n",
    "    plt.xlabel(f\"ratios for words with {i} entries\" if i > 1 else \"ratios for words with a single entry\")\n",
    "    plt.savefig(f\"ratiohist-it{i}.pgf\", bbox_inches='tight')\n",
    "    plt.show()\n",
    "    plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "id": "3ae4c644-7a33-4f72-9719-d139ce8ad4dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist([included_translations_max[k] for k, v in included_translations.items()], log=True)\n",
    "plt.ylabel(\"number of words\")\n",
    "plt.xlabel(\"number of entries for word\")\n",
    "plt.savefig(\"wordentryhist.pgf\", bbox_inches='tight')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 184,
   "id": "779a62fb-7eba-432a-9dfb-b1a8cbfd2923",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 500x350 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (5, 3.5)\n",
    "plt.hist([i for i in min_weights.values()  if i != float(\"inf\")],log=True)\n",
    "plt.ylabel(\"number of words\")\n",
    "plt.xlabel(\"number of entries for word\")\n",
    "plt.savefig(\"weighthist.pgf\", bbox_inches='tight')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 185,
   "id": "a183026e-5426-47e0-a063-166188d46d3c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([2.7302e+04, 7.5767e+04, 2.7036e+04, 4.1360e+03, 4.4000e+01,\n",
       "        3.0000e+00, 3.0000e+00, 3.0000e+00, 0.0000e+00, 3.0000e+00]),\n",
       " array([0.00023437, 0.00260455, 0.00497473, 0.00734491, 0.00971509,\n",
       "        0.01208528, 0.01445546, 0.01682564, 0.01919582, 0.021566  ,\n",
       "        0.02393618]),\n",
       " <BarContainer object of 10 artists>)"
      ]
     },
     "execution_count": 185,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x350 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist([(j[\"translations\"][-1][\"weight\"] - j[\"translations\"][0][\"weight\"]) / len(j[\"translations\"]) for i in data.values() for j in i], log=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 187,
   "id": "7ddc42bf-0a18-4c17-9bbe-a2753d829878",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQQAAADCCAYAAACvzrwXAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/SrBM8AAAACXBIWXMAAA9hAAAPYQGoP6dpAAASFklEQVR4nO3dz27T2NsH8G/RK3VF46Y7RCXq3ADkz1wAdZnFbwdJcwM0HbYsEjqb0WwmuLAfnHIBkz+w+y0gLhcwaQ0XMDGVGLGiiROkV+oGv4sq563zr67tJE38/UiVGie1H5+mT0+OfZ6zZNu2DSIiADdmHQARXR9MCEQkMCEQkcCEQEQCEwIRCUwIRCQwIRCR8D+zDmDSfvz4ga9fv+LmzZtYWlqadThEM2HbNr5//45bt27hxo3R/YCFTwhfv37F+vr6rMMguha+fPmC27dvj3x+4RPCzZs3AZw3xMrKyoyjIZqNbreL9fV18fcwysInhN7HhJWVFSYECr3LPjZzUJGIBCYEIhKYEIhIWPgxBLfuPPuv732cPP9PAJEQzQ57CEQkMCEQkcCEQEQCEwIRCUwIRCQwIRCRwIRARAITAhEJTAhEJDAhEJHgOSE8e/YMr1+/RqfTwYMHD5DNZvH27dsgYyOiKfOcEFKpFB4/foxSqYREIoFyuYzT09MgYyOiKfOcEFZXVwEAlUoF2WwWABCNRoOJiohmwvNsx2azCdu20Ww2cffuXXz+/BntdjvI2Ihoyjz3ELa3t/Hx40cYhoFOpwNN02BZVoChEdG0eU4IkUgEtm2jUCggEolga2sLuVwuyNiIaMp8XWWQJAmKogAANjc3oet6YIER0fT5usqws7MDWZaDjIeIZshzQvj8+TMAZ1nnRqPhPyIimhnPVxnu3buHZDKJtbU11Ot16LoOVVWDjI2IpsxzD2FzcxOVSgX37t2DbdsolUq4f/9+kLER0ZT5qrosyzKeP38uHp+cnODOnTt+YyKiGXGdEN6+fQtFUcRyaK9fv3Y8b1kW6vU63r17F2yEfTKZDKrV6kSPQRRWrj8y/PHHHzg6OhKPX716hXa7Lb5s2574XAZd12EYxkSPQRRmrnsIF5MBABwcHODevXuObb17Ei5jGAZ2dnZwfHzs2G6aJmq1GmRZhmmayOVykCQJAMRdkLzMSTQ5ngcVc7ncwHTn/gQxTK1WA4Ch/+kzmQzy+TzS6TTS6TR2dnbEc7quu044ROSNr4Tw8OFDx7YPHz5c+nPpdBrxeHxgu2majseyLIs7Hw3DYDIgmgLPVxmWlpbw5MkTxGIxyLKMVquFarXq+dKjrusD06ej0ajoSfSSg2maKJVKI+dNnJ2d4ezsTDzudrue4iEKI889hOfPn8O2bXz79g1///03/vnnH7RaLc+BjJop2Wq1EI/HkU6nxXjCOMViEZFIRHytr697jokobDz3EDRNw+bmpmPb4eGh74D6XUwUiqKg2WyOff3e3h6ePn0qHne7XSYFIpc8J4RYLCa+73Q6ODw8HDo24JYkSQM9jFar5apXcNHy8jKWl5c9x0EUZp4/Mlyc6hyJRPDw4UNf059HDRomk0nP+ySiq7lSD6HT6aBSqWBpaQn1en3g+ePjYzx+/Nj1/izLEj2A/vsLTNNEMpm8cg+BiLy7UkKIRCJQFAWqqqLZbGJjY8PxfD6fv3Qfuq6LZFIsFpFKpZBOpwEA1WoVhUIBqVQKjUaDtygTTdmSbdu2lx88PDwcGFS8jpObut0uIpEIOp2OmIcxzJ1n//V9rJPn//G9D6JJcPt34HlQcXNzE58+fXIMBGqahnK57HWXRDRjnhPC9va2YwwAAD5+/BhETEQ0I54TwtbWlmOuAQC8efPGd0BENDueLztevA9h3DYimh++Vm7SNA2pVAoAYNs2KpUKC60SzTHPPQRN07CxsQHbttG7UOHxggURXROeewiqqg5cduQUZaL55qvq8osXL8TKz4eHhxxDIJpznhPC3t4el3IjWjCeE0IymeRSbkQLhku5EZHApdyISPA1qFitVrmUG9EC8bWU28bGhmMpNyKab557CES0eJgQiEhgQiAiwVVC6HQ6SKVSXPSEaMG5SghHR0eoVquO0kv9y8EDGFjrkYjmi6urDL27En/66SdRIalarQ6stlSv1wfWeySi+eGqhxCJRHBwcICNjQ202220220x7fni1+np6aTjJaIJcn0fQiQSwaNHj8RjRVEGln/n9Gei+ebr1uVut4tKpQLgvOhqf4Igovnia3LT/fv38f79e7x//x6JRAKfPn0KMDQimjbPPYQ3b97g6OjIsW1vbw937971GxMRzYjnHkL/Mm4AF2YlmneeE4JpmgPbejUSiGg+ef7IoCgKHjx4gEQiAQCsh0C0ADwv9gqc9wg0TQMAZLPZa3mVYZqLvQaFi8ZS0Ca+2CvAeghEi4azHYlIYEIgIoEJgYgEJgQiEjwnhFQqxfoHRAvGc0LI5XIDtQ8+fPjgOyAimh3Plx2Xlpbw5MkTxGIxyLKMVquFarXKtRmI5pjnhPD8+XMoioJv377h27dvAIBWqxVYYP1qtRqA8+Xitra2WHuBaAI8JwRN07C5uenYdnh46DugYXRdh2mayOfziMfjyGQyOD4+nsixiMLM11JuL168QDabBXCeDFKplKufNQxDzIG4yDRN7O/vo1arYX9/X9RsVBQF+XxevIazKokmw3NC2NvbgyRJouu+ubkJXdcv/ble198wjIHnMpkM8vk80uk00uk0dnZ2Bl6jaRoKhYLXsIloDM8fGZLJJB49enTljwnpdHro9v7p1LIsDySY/f197O3tQZblqwVLRK74KqEGnF9t6Gk0Gp4D0XUd0WjUsS0ajYqehK7rUBQF8Xhc9DKIKFi+iqwmk0msra2hXq/7rofQv8ZDT6vVgmmayGQykGUZlmVBUZSRPY2zszOcnZ2Jx1xtisg9zwlhc3MTlUoFpVIJtm2jVCpNpB6CZVmQZRntdtvV64vFIn7//ffA4yAKA1/1EGRZxq+//goAY4suuCFJ0sB9DK1WS6wU5dbe3h6ePn0qHne7Xayvr/uKjSgsPI8hdDodPHjwAJIkYXV1FT///LOv7vmoG42ueolxeXkZKysrji8icsdzD6FYLKJQKOD9+/cAgI8fP6JSqeDx48eu92FZlugB9F856N1vcNUewiIIqpwbS7HRVXlOCKlUynGnotvxA13XUa/XAZwnlVQqJQYIq9UqCoUCUqkUGo0GqtWq1/CIyAPPRVY/fPgwMJHp5OQEd+7cCSKuwMxjkdWgsIdAPYEXWe2vfVCv12EYhujS964GXLeEQETuuU4I+XweW1tbiEQiAM5Xg7440xEATk9PB2okENH8cJ0Qhs1u7NfpdHwHRESz4/qy47Bk0O12cXJyIr6ePXsWaHBENF2erzL88ssv0HXdcVnw8+fP+PPPP4OIi4hmwHNCiMViePXqlWPbwcGB74CIaHY836k47M7Cra0tX8EQ0Wx57iGsrq7i5cuXkGUZkiTBsiyUy2WUy+Ug4yOiKfKcEPL5vOPWY+D89mUiml+eE8LW1tZAibM3b974DoiIZsfzGEIsFnO1jYjmh+ceQrPZhKZpotKybduoVCq+yqgR0Wz5WpdBURRcnBvlcZ4UTUgQE7Y4QSpcPCcEVVUH7l7kakpE883XQi39VldXfQVDRLPluYfQv9KzZVnQNA3v3r3zHRQRzYbnhJDL5ZBIJMS4ga7rvFORaM75GkN49OiRY9ukFnslounwPIbQnwwA5ypORDR/PPcQXr586Xh8enoKy7IG6iwS0fzwnBD++usvsRQ8cF5GfXt7O5Cg6PpgSfhwCfQ+hJOTE1FzkYjmj6+1HT99+uRYfk3TNE5/JppjnhPC9vY2pz8TLRhOfyYiwVdNRTfbiABOtJoXnP5MRILnG5M0TcPGxgZs2xa3L3P6M9F84/RnIhICnf7sdkl4IrqePCcEIlo8TAhEJDAhEJHAhEBEAhMCEQlMCEQkMCEQkeD5xiSieXWdir5cp1gA9hCI6AImBCISmBCISGBCICJh4QcVe1Oyu93u2Nf9OPvfaYRDPlz2O3QrqN91EPFMK5be85eVKFiyF7yIwb///ov19fVZh0F0LXz58gW3b98e+fzCJ4QfP37g69evuHnz5siVpbrdLtbX1/HlyxesrKxMOcLrh+0xaN7bxLZtfP/+Hbdu3cKNG6NHChb+I8ONGzfGZsSLVlZW5vKXPSlsj0Hz3CZu1kzhoCIRCUwIRCQwIQBYXl7Gb7/9huXl5VmHci2wPQaFpU0WflCRiNxjD4GIBCYEIhKYEIhIWPj7EMYxTRO1Wg2yLMM0TeRyOcdq1mFhGAZ0XQcANBoNHBwciHYIexsVCgXs7e2Fpz3sEIvH4+L7ZrNpp9PpGUYzO6qqOr6/2C5hbqPj42MbgN1ut8W2RW+P0H5kME3T8ViWZfFfMkwMw0CxWBSP0+k0DMOAaZqhbyPTNCHLsuPxRYvYHqFNCLquIxqNOrZFo1EYhjGjiGYjHo/j4OBAPLYsC8B5W4S5jWq1GtLptGNbGNojtAmh98bv12q1phvINXDxjV8ul6EoCiRJCm0bWZY1dFwgDO0R2oQwyqhfehhYloVarYZqtXrp6xZZpVK50krmi9QeoU0IkiQNZPZWq7VYI8ZXVCgUUK/XRRuEsY10Xcf29vbQ58LQHqFNCKP+AySTySlHcj3s7++jUChAlmVYlgXLskLbRpVKBaVSCaVSCaZpolgswjCMULRHaO9DuDh6DJyPICeTyYXK9m7VajXE43GRDCqVytDr62Foo/4/+t3dXezu7g68X4DFbI9QT24yTROapiGVSqHRaDhuQAkL0zQRi8Uc2yRJQrvdFs+HsY0sy0KpVEKhUEAul8Pu7i7i8fjCt0eoEwIROYV2DIGIBjEhEJHAhEBEAhMCEQlMCEQkMCEQkcCE4EEikUCtVpt1GA66riMWi127uK4TXdeRSCRQKpWmdszr+F4ZhwnBhf7JK6qqXmnyS5DHHkVRlKnFBAQzoWfak4IURUE2m73Sz/iNcZrvlSAwIVzCNE1UKhXHtt704Fkce5xp3TF31bgmtY9JCyLGab1XgsKEcAlVVUN57HGCiOu6nttF8xBj0EI7uckNXddxdHQkprwqigLLsrCzs4Pd3V3kcjnouo5CoSAmwJimiXq9DlVVYVkWdF1Hs9mEpmmO/RqGAVmW0Wg0hr7xhh1blmXUajVIkgTTNNFsNke+aXd3d6HrOlRVRTqdHnrMUbGPq4cwKq5eodbeftLp9NAJQaP2YZomdnd3USgUAACapuH4+Hjk+V4We2+SVm/C1qh2Hrf/Yefp5nfXYxiGq/fKZfUnemMQvZ7GRD+CzLak4/WXz+dtTdMc21RVdWzL5/OOYpuKojgKl8qyLAp1NptNR6FOTdMcr73s2ADsZrNp27Zt53I5u1qtOl5frVbtdrvt2Oe4Yw6L/fj4eERrDI+r2WzaiqI4XhOPxx3FSd2cWy6Xs3O5nG3btjivy853VOyqqtr1et1xzr3tF4972f77z9Pt767HzXtlXHu3223Rtu12W7TPpLCHEIC1tTWsra2Jx5IkOf479gprSJIETdNEvcKeRqPh+ljtdlv8R2u1WgOFPxuNBorFIg4PD8W2ccccFvtVS4JpmoZ4PO7YJsuymEbtliRJIpZeWbdx5zsu9nQ6jUQiAVmWkc1mR8ZxWXv2n6ef391lMY9ydHSETCaDra0tR09zEpgQrmBUrb1hxr0uHo87un1u/mh6xy4Wi1hbWxvZJV9bW4OqqshkMqjX676O6UZQVxt67dV/Tped7yjRaBTtdhuGYaBcLg+0x1X33zvPSbXjOO12G7VaDcViEdFodKD4a5A4qHgFF/8zXPaHMOr5bDY7ULrbTSlvXdfF59d8Pi8+G/f/vCzL4vPu/v6+r2O6oev60P0bhjGyFNmwffRc/G/p5nxHKRaLME0T8Xgcqqo6EvTF/bjd/6jzdBOL16RpmiYSiQSA8x5PNpu9UlL0gj2ES+zu7kJVVZRKJSiKIv7j9DK1ZVkol8sA/n9wrFeWOx6PQ9d1mKYJVVWhqqp4gxYKBaRSKfFzbo4djUYhSZJ4E2YyGWiaJga7em/weDyOWCyGQqGA09NTcez+Y/bOpT/23j5Hvfn645JlGaqqYn9/Xwy2VavVsb2k/n1cjL+X1HrViIad72Wxr62tibLprVYL2Wx24GfG7X/cebr53QFw/V4Z1d6yLKNQKIj4ZFke+GgWNBZIISKBHxmISGBCICKBCYGIBCYEIhKYEIhIYEIgIoEJgYgEJgQiEpgQiEhgQiAigQmBiAQmBCIS/g8JBbCpZiGM4QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams[\"figure.figsize\"] = (5/2, 3.5/2)\n",
    "plt.hist([i for i in times if i < 600], log=True)\n",
    "plt.xlabel(\"time taken to translate in $s$\")\n",
    "plt.ylabel(\"number of entries\")\n",
    "plt.savefig(\"timehist.pgf\", bbox_inches='tight')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 188,
   "id": "5c5a1f03-6547-4d27-b680-eb2d84c58306",
   "metadata": {},
   "outputs": [],
   "source": [
    "ts = times[:]\n",
    "ts.sort()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 189,
   "id": "e3534f49-4a9d-4376-8437-f560dfb53f9f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7834, 134297, 5.833296102696988, 94.16670389730301, 44796.27514854632)"
      ]
     },
     "execution_count": 189,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "running_sum = 0\n",
    "full_sum = sum(ts) + 1354.578745681094\n",
    "cutoff = 100\n",
    "for idx, i in enumerate(ts):\n",
    "    if running_sum >= cutoff:\n",
    "        break\n",
    "    running_sum += i\n",
    "idx, len(ts), idx / (len(ts) + 1) * 100, 100 - idx / (len(ts) + 1) * 100, full_sum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 190,
   "id": "8b773e00-658e-4670-a3ec-2b983d41952d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9371770242296982"
      ]
     },
     "execution_count": 190,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len([i for i in ts if i <= 1]) / (len(ts) + 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 191,
   "id": "3ce91b1c-24d4-4060-8771-2c67f0737803",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.4808295327683572"
      ]
     },
     "execution_count": 191,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(sum(i for i in ts if i > 1) + 1354.578745681094) / full_sum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 192,
   "id": "54350e64-a1dc-4e18-8bbe-c92b7e3f14ca",
   "metadata": {},
   "outputs": [],
   "source": [
    "cumts = []\n",
    "cumulative = 0\n",
    "for i in ts:\n",
    "    cumulative += i\n",
    "    cumts.append(cumulative)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 195,
   "id": "d98005a7-3a58-45c6-8ec0-636c94b9e361",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 250x175 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(range(1, len(cumts) + 1), cumts)\n",
    "plt.xlabel(\"fastest $n$ words\")\n",
    "plt.ylabel(\"cumulative time in $s$\")\n",
    "plt.savefig(\"timecum.pgf\", bbox_inches='tight')\n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a3a89af9-3f53-4373-99d4-0fd75f4eb28c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.11.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}