IIT-4-vis-pyphi (copy 2).ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "13b3ea0d-f988-42c0-9736-9cb54f02a563",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style>.container { width:80% !important; }</style>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pyphi\n",
    "from visualize_pyphi import *\n",
    "from visualize_pyphi import utils\n",
    "import pickle as pkl\n",
    "from tqdm.auto import tqdm\n",
    "from pyphi.models.subsystem import FlatCauseEffectStructure as sep\n",
    "from IPython.core.display import display, HTML\n",
    "display(HTML(\"<style>.container { width:80% !important; }</style>\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "65b95a72-c7c5-44ff-8ddb-80018cc1d636",
   "metadata": {},
   "outputs": [],
   "source": [
    ">>> pyphi.config.load_file('pyphi_config.yml')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "de5b9adb-b39c-4b55-8a04-4d6a16b929ad",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{ 'ACTUAL_CAUSATION_MEASURE': 'PMI',\n",
      "  'ASSUME_CUTS_CANNOT_CREATE_NEW_CONCEPTS': False,\n",
      "  'CACHE_POTENTIAL_PURVIEWS': True,\n",
      "  'CACHE_REPERTOIRES': True,\n",
      "  'CACHE_SIAS': False,\n",
      "  'CACHING_BACKEND': 'fs',\n",
      "  'CES_DISTANCE': 'SUM_SMALL_PHI',\n",
      "  'CLEAR_SUBSYSTEM_CACHES_AFTER_COMPUTING_SIA': False,\n",
      "  'CUT_ONE_APPROXIMATION': False,\n",
      "  'FS_CACHE_DIRECTORY': '__pyphi_cache__',\n",
      "  'FS_CACHE_VERBOSITY': 0,\n",
      "  'IIT_VERSION': 'maximal-state-first',\n",
      "  'LOG_FILE': 'pyphi.log',\n",
      "  'LOG_FILE_LEVEL': 'INFO',\n",
      "  'LOG_STDOUT_LEVEL': 'WARNING',\n",
      "  'MAXIMUM_CACHE_MEMORY_PERCENTAGE': 100,\n",
      "  'MONGODB_CONFIG': { 'collection_name': 'test',\n",
      "                      'database_name': 'pyphi',\n",
      "                      'host': 'localhost',\n",
      "                      'port': 27017},\n",
      "  'NUMBER_OF_CORES': -1,\n",
      "  'PARALLEL_COMPLEX_EVALUATION': False,\n",
      "  'PARALLEL_CONCEPT_EVALUATION': False,\n",
      "  'PARALLEL_CUT_EVALUATION': False,\n",
      "  'PARTITION_TYPE': 'TRI',\n",
      "  'PICK_SMALLEST_PURVIEW': False,\n",
      "  'PRECISION': 15,\n",
      "  'PRINT_FRACTIONS': True,\n",
      "  'PROGRESS_BARS': True,\n",
      "  'RAY_CONFIG': {'address': 'auto'},\n",
      "  'REDIS_CACHE': False,\n",
      "  'REDIS_CONFIG': {'db': 0, 'host': 'localhost', 'port': 6379, 'test_db': 1},\n",
      "  'REPERTOIRE_DISTANCE': 'IIT_4.0_SMALL_PHI',\n",
      "  'REPR_VERBOSITY': 2,\n",
      "  'SINGLE_MICRO_NODES_WITH_SELFLOOPS_HAVE_PHI': False,\n",
      "  'SYSTEM_CUTS': '3.0_STYLE',\n",
      "  'VALIDATE_CONDITIONAL_INDEPENDENCE': True,\n",
      "  'VALIDATE_SUBSYSTEM_STATES': True,\n",
      "  'WELCOME_OFF': True}\n"
     ]
    }
   ],
   "source": [
    ">>> print(pyphi.config)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "10b2aa0b-6755-4725-9828-d562add9ce8e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('IIT_4.0_SMALL_PHI', 'maximal-state-first', 'TRI')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "'''\n",
    "Check that the config parameters are correct (if not change pyphi_config.yml to match):\n",
    "REPERTOIRE_DISTANCE = 'IIT_4.0_SMALL_PHI'\n",
    "IIT_VERSION = 'maximal-state-first'\n",
    "PARTITION_TYPE = 'TRI'\n",
    "'''\n",
    "pyphi.config.REPERTOIRE_DISTANCE,pyphi.config.IIT_VERSION,pyphi.config.PARTITION_TYPE"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f0cb5f56-bd0e-4fe9-8cf7-0d66dc1beef8",
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(r\"example_data/4_node_grid_subsystem.pkl\", \"rb\") as f:\n",
    "    subsystem = pkl.load(f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8009342f-319f-49e3-b096-a79e221af203",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "#Compute all distinctions\n",
    "distinctions = pyphi.compute.ces(subsystem)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "67f35792-fe85-4496-8c6f-9a66ffc80cc9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "════════════════════════════════════════════════════════════════════════\n",
       "                  Cause-effect structure (15 concepts)                  \n",
       "════════════════════════════════════════════════════════════════════════\n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "    Concept: mechanism = [A], state = [0], φ = 0.520382     \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                         MIE               \n",
       "  ┌──────────────────────────┐┌──────────────────────────┐  \n",
       "  │  φ = 0.520382            ││  φ = 0.656129            │  \n",
       "  │  Purview: [A]            ││  Purview: [A]            │  \n",
       "  │  MIP:                    ││  MIP:                    │  \n",
       "  │     ∅     ∅     A        ││     ∅     ∅     A        │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───       │  \n",
       "  │     ∅     A     ∅        ││     ∅     A     ∅        │  \n",
       "  │  Repertoire:             ││  Repertoire:             │  \n",
       "  │    ┌────────────────┐    ││    ┌─────────────────┐   │  \n",
       "  │    │ S    Pr(S)     │    ││    │ S    Pr(S)      │   │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │   │  \n",
       "  │    │ 0 *  0.789544  │    ││    │ 0 *  0.995506   │   │  \n",
       "  │    │ 1    0.210456  │    ││    │ 1    0.0044943  │   │  \n",
       "  │    └────────────────┘    ││    └─────────────────┘   │  \n",
       "  │  Partitioned repertoire: ││  Partitioned repertoire: │  \n",
       "  │    ┌─────────────┐       ││    ┌────────────────┐    │  \n",
       "  │    │ S    Pr(S)  │       ││    │ S    Pr(S)     │    │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴ │       ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    │  \n",
       "  │    │ 0 *  1/2    │       ││    │ 0 *  0.630431  │    │  \n",
       "  │    │ 1    1/2    │       ││    │ 1    0.369569  │    │  \n",
       "  │    └─────────────┘       ││    └────────────────┘    │  \n",
       "  └──────────────────────────┘└──────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "    Concept: mechanism = [B], state = [0], φ = 0.629285     \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                         MIE               \n",
       "  ┌──────────────────────────┐┌──────────────────────────┐  \n",
       "  │  φ = 0.629285            ││  φ = 0.713724            │  \n",
       "  │  Purview: [B]            ││  Purview: [B]            │  \n",
       "  │  MIP:                    ││  MIP:                    │  \n",
       "  │     ∅     ∅     B        ││     ∅     ∅     B        │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───       │  \n",
       "  │     ∅     B     ∅        ││     ∅     B     ∅        │  \n",
       "  │  Repertoire:             ││  Repertoire:             │  \n",
       "  │    ┌────────────────┐    ││    ┌─────────────────┐   │  \n",
       "  │    │ S    Pr(S)     │    ││    │ S    Pr(S)      │   │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │   │  \n",
       "  │    │ 0 *  0.840264  │    ││    │ 0 *  0.953012   │   │  \n",
       "  │    │ 1    0.159736  │    ││    │ 1    0.0469881  │   │  \n",
       "  │    └────────────────┘    ││    └─────────────────┘   │  \n",
       "  │  Partitioned repertoire: ││  Partitioned repertoire: │  \n",
       "  │    ┌─────────────┐       ││    ┌────────────────┐    │  \n",
       "  │    │ S    Pr(S)  │       ││    │ S    Pr(S)     │    │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴ │       ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    │  \n",
       "  │    │ 0 *  1/2    │       ││    │ 0 *  0.567091  │    │  \n",
       "  │    │ 1    1/2    │       ││    │ 1    0.432909  │    │  \n",
       "  │    └─────────────┘       ││    └────────────────┘    │  \n",
       "  └──────────────────────────┘└──────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "    Concept: mechanism = [C], state = [0], φ = 0.629285     \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                         MIE               \n",
       "  ┌──────────────────────────┐┌──────────────────────────┐  \n",
       "  │  φ = 0.629285            ││  φ = 0.713724            │  \n",
       "  │  Purview: [C]            ││  Purview: [C]            │  \n",
       "  │  MIP:                    ││  MIP:                    │  \n",
       "  │     ∅     ∅     C        ││     ∅     ∅     C        │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───       │  \n",
       "  │     ∅     C     ∅        ││     ∅     C     ∅        │  \n",
       "  │  Repertoire:             ││  Repertoire:             │  \n",
       "  │    ┌────────────────┐    ││    ┌─────────────────┐   │  \n",
       "  │    │ S    Pr(S)     │    ││    │ S    Pr(S)      │   │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │   │  \n",
       "  │    │ 0 *  0.840264  │    ││    │ 0 *  0.953012   │   │  \n",
       "  │    │ 1    0.159736  │    ││    │ 1    0.0469881  │   │  \n",
       "  │    └────────────────┘    ││    └─────────────────┘   │  \n",
       "  │  Partitioned repertoire: ││  Partitioned repertoire: │  \n",
       "  │    ┌─────────────┐       ││    ┌────────────────┐    │  \n",
       "  │    │ S    Pr(S)  │       ││    │ S    Pr(S)     │    │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴ │       ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    │  \n",
       "  │    │ 0 *  1/2    │       ││    │ 0 *  0.567091  │    │  \n",
       "  │    │ 1    1/2    │       ││    │ 1    0.432909  │    │  \n",
       "  │    └─────────────┘       ││    └────────────────┘    │  \n",
       "  └──────────────────────────┘└──────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "    Concept: mechanism = [D], state = [0], φ = 0.520382     \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                         MIE               \n",
       "  ┌──────────────────────────┐┌──────────────────────────┐  \n",
       "  │  φ = 0.520382            ││  φ = 0.656129            │  \n",
       "  │  Purview: [D]            ││  Purview: [D]            │  \n",
       "  │  MIP:                    ││  MIP:                    │  \n",
       "  │     ∅     ∅     D        ││     ∅     ∅     D        │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───       │  \n",
       "  │     ∅     D     ∅        ││     ∅     D     ∅        │  \n",
       "  │  Repertoire:             ││  Repertoire:             │  \n",
       "  │    ┌────────────────┐    ││    ┌─────────────────┐   │  \n",
       "  │    │ S    Pr(S)     │    ││    │ S    Pr(S)      │   │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │   │  \n",
       "  │    │ 0 *  0.789544  │    ││    │ 0 *  0.995506   │   │  \n",
       "  │    │ 1    0.210456  │    ││    │ 1    0.0044943  │   │  \n",
       "  │    └────────────────┘    ││    └─────────────────┘   │  \n",
       "  │  Partitioned repertoire: ││  Partitioned repertoire: │  \n",
       "  │    ┌─────────────┐       ││    ┌────────────────┐    │  \n",
       "  │    │ S    Pr(S)  │       ││    │ S    Pr(S)     │    │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴ │       ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    │  \n",
       "  │    │ 0 *  1/2    │       ││    │ 0 *  0.630431  │    │  \n",
       "  │    │ 1    1/2    │       ││    │ 1    0.369569  │    │  \n",
       "  │    └─────────────┘       ││    └────────────────┘    │  \n",
       "  └──────────────────────────┘└──────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [A,B], state = [0, 0], φ = 0.0691195  \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                          MIE               \n",
       "  ┌──────────────────────────┐┌───────────────────────────┐  \n",
       "  │  φ = 0.0714848           ││  φ = 0.0691195            │  \n",
       "  │  Purview: [A,B]          ││  Purview: [A,B]           │  \n",
       "  │  MIP:                    ││  MIP:                     │  \n",
       "  │     ∅     A     B        ││     ∅     A     B         │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───        │  \n",
       "  │     ∅     A     B        ││     ∅     A     B         │  \n",
       "  │  Repertoire:             ││  Repertoire:              │  \n",
       "  │    ┌───────────────────┐ ││    ┌────────────────────┐ │  \n",
       "  │    │ S     Pr(S)       │ ││    │ S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 00 *  0.611814    │ ││    │ 00 *  0.995504     │ │  \n",
       "  │    │ 10    0.218177    │ ││    │ 10    1.54821e-06  │ │  \n",
       "  │    │ 01    0.161616    │ ││    │ 01    0.00449429   │ │  \n",
       "  │    │ 11    0.00839352  │ ││    │ 11    6.98951e-09  │ │  \n",
       "  │    └───────────────────┘ ││    └────────────────────┘ │  \n",
       "  │  Partitioned repertoire: ││  Partitioned repertoire:  │  \n",
       "  │    ┌──────────────────┐  ││    ┌────────────────────┐ │  \n",
       "  │    │ S     Pr(S)      │  ││    │ S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │  ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 00 *  0.663425   │  ││    │ 00 *  0.948729     │ │  \n",
       "  │    │ 10    0.176839   │  ││    │ 10    0.00428312   │ │  \n",
       "  │    │ 01    0.126119   │  ││    │ 01    0.0467769    │ │  \n",
       "  │    │ 11    0.0336175  │  ││    │ 11    0.000211179  │ │  \n",
       "  │    └──────────────────┘  ││    └────────────────────┘ │  \n",
       "  └──────────────────────────┘└───────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [A,C], state = [0, 0], φ = 0.0752189   \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                          MIE                \n",
       "  ┌──────────────────────────┐┌────────────────────────────┐  \n",
       "  │  φ = 0.0752189           ││  φ = 0.10776               │  \n",
       "  │  Purview: [B]            ││  Purview: [A,B,C]          │  \n",
       "  │  MIP:                    ││  MIP:                      │  \n",
       "  │     ∅     A     C        ││     ∅     A     C          │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───         │  \n",
       "  │     ∅     ∅     B        ││     ∅    A,B    C          │  \n",
       "  │  Repertoire:             ││  Repertoire:               │  \n",
       "  │    ┌────────────────┐    ││    ┌─────────────────────┐ │  \n",
       "  │    │ S    Pr(S)     │    ││    │  S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 0 *  0.605803  │    ││    │ 000 *  0.668781     │ │  \n",
       "  │    │ 1    0.394197  │    ││    │ 100    0.00158544   │ │  \n",
       "  │    └────────────────┘    ││    │ 010    0.293571     │ │  \n",
       "  │  Partitioned repertoire: ││    │ 110    0.000695951  │ │  \n",
       "  │    ┌────────────────┐    ││    │ 001    0.0245196    │ │  \n",
       "  │    │ S    Pr(S)     │    ││    │ 101    5.81273e-05  │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    ││    │ 011    0.0107632    │ │  \n",
       "  │    │ 0 *  0.555846  │    ││    │ 111    2.55158e-05  │ │  \n",
       "  │    │ 1    0.444154  │    ││    └─────────────────────┘ │  \n",
       "  │    └────────────────┘    ││  Partitioned repertoire:   │  \n",
       "  └──────────────────────────┘│    ┌─────────────────────┐ │  \n",
       "                              │    │  S     Pr(S)        │ │  \n",
       "                              │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "                              │    │ 000 *  0.598108     │ │  \n",
       "                              │    │ 100    0.00270021   │ │  \n",
       "                              │    │ 010    0.350621     │ │  \n",
       "                              │    │ 110    0.00158291   │ │  \n",
       "                              │    │ 001    0.0294896    │ │  \n",
       "                              │    │ 101    0.000133133  │ │  \n",
       "                              │    │ 011    0.0172873    │ │  \n",
       "                              │    │ 111    7.80451e-05  │ │  \n",
       "                              │    └─────────────────────┘ │  \n",
       "                              └────────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [A,D], state = [0, 0], φ = 0.0257269  \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                         MIE               \n",
       "  ┌──────────────────────────┐┌──────────────────────────┐  \n",
       "  │  φ = 0.0257269           ││  φ = 0.030082            │  \n",
       "  │  Purview: [B,C]          ││  Purview: [B,C]          │  \n",
       "  │  MIP:                    ││  MIP:                    │  \n",
       "  │     ∅     A     D        ││     ∅     A     D        │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───       │  \n",
       "  │     ∅     B     C        ││     ∅     B     C        │  \n",
       "  │  Repertoire:             ││  Repertoire:             │  \n",
       "  │    ┌─────────────────┐   ││    ┌─────────────────┐   │  \n",
       "  │    │ S     Pr(S)     │   ││    │ S     Pr(S)     │   │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │   ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │   │  \n",
       "  │    │ 00 *  0.321131  │   ││    │ 00 *  0.417782  │   │  \n",
       "  │    │ 10    0.242891  │   ││    │ 10    0.228578  │   │  \n",
       "  │    │ 01    0.242891  │   ││    │ 01    0.228578  │   │  \n",
       "  │    │ 11    0.193086  │   ││    │ 11    0.125061  │   │  \n",
       "  │    └─────────────────┘   ││    └─────────────────┘   │  \n",
       "  │  Partitioned repertoire: ││  Partitioned repertoire: │  \n",
       "  │    ┌─────────────────┐   ││    ┌─────────────────┐   │  \n",
       "  │    │ S     Pr(S)     │   ││    │ S     Pr(S)     │   │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │   ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │   │  \n",
       "  │    │ 00 *  0.303785  │   ││    │ 00 *  0.397443  │   │  \n",
       "  │    │ 10    0.247382  │   ││    │ 10    0.232988  │   │  \n",
       "  │    │ 01    0.247382  │   ││    │ 01    0.232988  │   │  \n",
       "  │    │ 11    0.201451  │   ││    │ 11    0.136581  │   │  \n",
       "  │    └─────────────────┘   ││    └─────────────────┘   │  \n",
       "  └──────────────────────────┘└──────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [B,C], state = [0, 0], φ = 0.0534277  \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                          MIE               \n",
       "  ┌──────────────────────────┐┌───────────────────────────┐  \n",
       "  │  φ = 0.0534277           ││  φ = 0.124742             │  \n",
       "  │  Purview: [B,C]          ││  Purview: [B,C]           │  \n",
       "  │  MIP:                    ││  MIP:                     │  \n",
       "  │     ∅     B     C        ││     ∅     B     C         │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───        │  \n",
       "  │     ∅     B     C        ││     ∅     B     C         │  \n",
       "  │  Repertoire:             ││  Repertoire:              │  \n",
       "  │    ┌───────────────────┐ ││    ┌────────────────────┐ │  \n",
       "  │    │ S     Pr(S)       │ ││    │ S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 00 *  0.667964    │ ││    │ 00 *  0.991032     │ │  \n",
       "  │    │ 10    0.162848    │ ││    │ 10    0.0044741    │ │  \n",
       "  │    │ 01    0.162848    │ ││    │ 01    0.0044741    │ │  \n",
       "  │    │ 11    0.00633968  │ ││    │ 11    2.01987e-05  │ │  \n",
       "  │    └───────────────────┘ ││    └────────────────────┘ │  \n",
       "  │  Partitioned repertoire: ││  Partitioned repertoire:  │  \n",
       "  │    ┌──────────────────┐  ││    ┌───────────────────┐  │  \n",
       "  │    │ S     Pr(S)      │  ││    │ S     Pr(S)       │  │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │  ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │  │  \n",
       "  │    │ 00 *  0.706043   │  ││    │ 00 *  0.908232    │  │  \n",
       "  │    │ 10    0.134221   │  ││    │ 10    0.0447802   │  │  \n",
       "  │    │ 01    0.134221   │  ││    │ 01    0.0447802   │  │  \n",
       "  │    │ 11    0.0255157  │  ││    │ 11    0.00220788  │  │  \n",
       "  │    └──────────────────┘  ││    └───────────────────┘  │  \n",
       "  └──────────────────────────┘└───────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [B,D], state = [0, 0], φ = 0.0752189   \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                          MIE                \n",
       "  ┌──────────────────────────┐┌────────────────────────────┐  \n",
       "  │  φ = 0.0752189           ││  φ = 0.10776               │  \n",
       "  │  Purview: [C]            ││  Purview: [B,C,D]          │  \n",
       "  │  MIP:                    ││  MIP:                      │  \n",
       "  │     ∅     B     D        ││     ∅     B     D          │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───         │  \n",
       "  │     ∅     C     ∅        ││     ∅    B,C    D          │  \n",
       "  │  Repertoire:             ││  Repertoire:               │  \n",
       "  │    ┌────────────────┐    ││    ┌─────────────────────┐ │  \n",
       "  │    │ S    Pr(S)     │    ││    │  S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 0 *  0.605803  │    ││    │ 000 *  0.668781     │ │  \n",
       "  │    │ 1    0.394197  │    ││    │ 100    0.0245196    │ │  \n",
       "  │    └────────────────┘    ││    │ 010    0.293571     │ │  \n",
       "  │  Partitioned repertoire: ││    │ 110    0.0107632    │ │  \n",
       "  │    ┌────────────────┐    ││    │ 001    0.00158544   │ │  \n",
       "  │    │ S    Pr(S)     │    ││    │ 101    5.81273e-05  │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │    ││    │ 011    0.000695951  │ │  \n",
       "  │    │ 0 *  0.555846  │    ││    │ 111    2.55158e-05  │ │  \n",
       "  │    │ 1    0.444154  │    ││    └─────────────────────┘ │  \n",
       "  │    └────────────────┘    ││  Partitioned repertoire:   │  \n",
       "  └──────────────────────────┘│    ┌─────────────────────┐ │  \n",
       "                              │    │  S     Pr(S)        │ │  \n",
       "                              │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "                              │    │ 000 *  0.598108     │ │  \n",
       "                              │    │ 100    0.0294896    │ │  \n",
       "                              │    │ 010    0.350621     │ │  \n",
       "                              │    │ 110    0.0172873    │ │  \n",
       "                              │    │ 001    0.00270021   │ │  \n",
       "                              │    │ 101    0.000133133  │ │  \n",
       "                              │    │ 011    0.00158291   │ │  \n",
       "                              │    │ 111    7.80451e-05  │ │  \n",
       "                              │    └─────────────────────┘ │  \n",
       "                              └────────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [C,D], state = [0, 0], φ = 0.0691195  \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                          MIE               \n",
       "  ┌──────────────────────────┐┌───────────────────────────┐  \n",
       "  │  φ = 0.0714848           ││  φ = 0.0691195            │  \n",
       "  │  Purview: [C,D]          ││  Purview: [C,D]           │  \n",
       "  │  MIP:                    ││  MIP:                     │  \n",
       "  │     ∅     C     D        ││     ∅     C     D         │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───        │  \n",
       "  │     ∅     C     D        ││     ∅     C     D         │  \n",
       "  │  Repertoire:             ││  Repertoire:              │  \n",
       "  │    ┌───────────────────┐ ││    ┌────────────────────┐ │  \n",
       "  │    │ S     Pr(S)       │ ││    │ S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 00 *  0.611814    │ ││    │ 00 *  0.995504     │ │  \n",
       "  │    │ 10    0.161616    │ ││    │ 10    0.00449429   │ │  \n",
       "  │    │ 01    0.218177    │ ││    │ 01    1.54821e-06  │ │  \n",
       "  │    │ 11    0.00839352  │ ││    │ 11    6.98951e-09  │ │  \n",
       "  │    └───────────────────┘ ││    └────────────────────┘ │  \n",
       "  │  Partitioned repertoire: ││  Partitioned repertoire:  │  \n",
       "  │    ┌──────────────────┐  ││    ┌────────────────────┐ │  \n",
       "  │    │ S     Pr(S)      │  ││    │ S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │  ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 00 *  0.663425   │  ││    │ 00 *  0.948729     │ │  \n",
       "  │    │ 10    0.126119   │  ││    │ 10    0.0467769    │ │  \n",
       "  │    │ 01    0.176839   │  ││    │ 01    0.00428312   │ │  \n",
       "  │    │ 11    0.0336175  │  ││    │ 11    0.000211179  │ │  \n",
       "  │    └──────────────────┘  ││    └────────────────────┘ │  \n",
       "  └──────────────────────────┘└───────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [A,B,C], state = [0, 0, 0], φ = 0.0160392  \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "               MIC                           MIE                \n",
       "  ┌────────────────────────────┐┌────────────────────────────┐  \n",
       "  │  φ = 0.077012              ││  φ = 0.0160392             │  \n",
       "  │  Purview: [A,B,C]          ││  Purview: [A,B,C]          │  \n",
       "  │  MIP:                      ││  MIP:                      │  \n",
       "  │     ∅    A,B    C          ││     ∅     A    B,C         │  \n",
       "  │    ─── ✕ ─── ✕ ───         ││    ─── ✕ ─── ✕ ───         │  \n",
       "  │     ∅    A,B    C          ││     ∅     A    B,C         │  \n",
       "  │  Repertoire:               ││  Repertoire:               │  \n",
       "  │    ┌─────────────────────┐ ││    ┌─────────────────────┐ │  \n",
       "  │    │  S     Pr(S)        │ ││    │  S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 000 *  0.457465     │ ││    │ 000 *  0.997633     │ │  \n",
       "  │    │ 100    0.195359     │ ││    │ 100    0            │ │  \n",
       "  │    │ 010    0.165774     │ ││    │ 010    1.55152e-06  │ │  \n",
       "  │    │ 110    0.00904026   │ ││    │ 110    0            │ │  \n",
       "  │    │ 001    0.134096     │ ││    │ 001    0.00236503   │ │  \n",
       "  │    │ 101    0.0311206    │ ││    │ 101    0            │ │  \n",
       "  │    │ 011    0.00688567   │ ││    │ 011    3.67809e-09  │ │  \n",
       "  │    │ 111    0.000260089  │ ││    │ 111    0            │ │  \n",
       "  │    └─────────────────────┘ ││    └─────────────────────┘ │  \n",
       "  │  Partitioned repertoire:   ││  Partitioned repertoire:   │  \n",
       "  │    ┌────────────────────┐  ││    ┌─────────────────────┐ │  \n",
       "  │    │  S     Pr(S)       │  ││    │  S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │  ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 000 *  0.514085    │  ││    │ 000 *  0.986578     │ │  \n",
       "  │    │ 100    0.183326    │  ││    │ 100    0.00445399   │ │  \n",
       "  │    │ 010    0.1358      │  ││    │ 010    0.00445399   │ │  \n",
       "  │    │ 110    0.00705277  │  ││    │ 110    2.01079e-05  │ │  \n",
       "  │    │ 001    0.0977289   │  ││    │ 001    0.00445399   │ │  \n",
       "  │    │ 101    0.0348507   │  ││    │ 101    2.01079e-05  │ │  \n",
       "  │    │ 011    0.0258159   │  ││    │ 011    2.01079e-05  │ │  \n",
       "  │    │ 111    0.00134075  │  ││    │ 111    9.07791e-08  │ │  \n",
       "  │    └────────────────────┘  ││    └─────────────────────┘ │  \n",
       "  └────────────────────────────┘└────────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [A,B,D], state = [0, 0, 0], φ = 0.0405171  \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                          MIE                \n",
       "  ┌──────────────────────────┐┌────────────────────────────┐  \n",
       "  │  φ = 0.0405171           ││  φ = 0.0706539             │  \n",
       "  │  Purview: [B,C]          ││  Purview: [A,B,C]          │  \n",
       "  │  MIP:                    ││  MIP:                      │  \n",
       "  │     ∅     A    B,D       ││     ∅     A    B,D         │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───         │  \n",
       "  │     ∅     ∅    B,C       ││     ∅     A    B,C         │  \n",
       "  │  Repertoire:             ││  Repertoire:               │  \n",
       "  │    ┌─────────────────┐   ││    ┌─────────────────────┐ │  \n",
       "  │    │ S     Pr(S)     │   ││    │  S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │   ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 00 *  0.512301  │   ││    │ 000 *  0.714687     │ │  \n",
       "  │    │ 10    0.103286  │   ││    │ 100    1.11148e-06  │ │  \n",
       "  │    │ 01    0.354405  │   ││    │ 010    0.00169427   │ │  \n",
       "  │    │ 11    0.030009  │   ││    │ 110    2.63492e-09  │ │  \n",
       "  │    └─────────────────┘   ││    │ 001    0.282946     │ │  \n",
       "  │  Partitioned repertoire: ││    │ 101    4.40037e-07  │ │  \n",
       "  │    ┌──────────────────┐  ││    │ 011    0.000670764  │ │  \n",
       "  │    │ S     Pr(S)      │  ││    │ 111    1.04317e-09  │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │  ││    └─────────────────────┘ │  \n",
       "  │    │ 00 *  0.484972   │  ││  Partitioned repertoire:   │  \n",
       "  │    │ 10    0.121534   │  ││    ┌─────────────────────┐ │  \n",
       "  │    │ 01    0.356857   │  ││    │  S     Pr(S)        │ │  \n",
       "  │    │ 11    0.0366361  │  ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    └──────────────────┘  ││    │ 000 *  0.667354     │ │  \n",
       "  └──────────────────────────┘│    │ 100    0.00301283   │ │  \n",
       "                              │    │ 010    0.0244673    │ │  \n",
       "                              │    │ 110    0.00011046   │ │  \n",
       "                              │    │ 001    0.292944     │ │  \n",
       "                              │    │ 101    0.00132252   │ │  \n",
       "                              │    │ 011    0.0107403    │ │  \n",
       "                              │    │ 111    4.84878e-05  │ │  \n",
       "                              │    └─────────────────────┘ │  \n",
       "                              └────────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [A,C,D], state = [0, 0, 0], φ = 0.0405171  \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "              MIC                          MIE                \n",
       "  ┌──────────────────────────┐┌────────────────────────────┐  \n",
       "  │  φ = 0.0405171           ││  φ = 0.0706539             │  \n",
       "  │  Purview: [B,C]          ││  Purview: [B,C,D]          │  \n",
       "  │  MIP:                    ││  MIP:                      │  \n",
       "  │     ∅    A,C    D        ││     ∅    A,C    D          │  \n",
       "  │    ─── ✕ ─── ✕ ───       ││    ─── ✕ ─── ✕ ───         │  \n",
       "  │     ∅    B,C    ∅        ││     ∅    B,C    D          │  \n",
       "  │  Repertoire:             ││  Repertoire:               │  \n",
       "  │    ┌─────────────────┐   ││    ┌─────────────────────┐ │  \n",
       "  │    │ S     Pr(S)     │   ││    │  S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │   ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 00 *  0.512301  │   ││    │ 000 *  0.714687     │ │  \n",
       "  │    │ 10    0.354405  │   ││    │ 100    0.282946     │ │  \n",
       "  │    │ 01    0.103286  │   ││    │ 010    0.00169427   │ │  \n",
       "  │    │ 11    0.030009  │   ││    │ 110    0.000670764  │ │  \n",
       "  │    └─────────────────┘   ││    │ 001    1.11148e-06  │ │  \n",
       "  │  Partitioned repertoire: ││    │ 101    4.40037e-07  │ │  \n",
       "  │    ┌──────────────────┐  ││    │ 011    2.63492e-09  │ │  \n",
       "  │    │ S     Pr(S)      │  ││    │ 111    1.04317e-09  │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │  ││    └─────────────────────┘ │  \n",
       "  │    │ 00 *  0.484972   │  ││  Partitioned repertoire:   │  \n",
       "  │    │ 10    0.356857   │  ││    ┌─────────────────────┐ │  \n",
       "  │    │ 01    0.121534   │  ││    │  S     Pr(S)        │ │  \n",
       "  │    │ 11    0.0366361  │  ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    └──────────────────┘  ││    │ 000 *  0.667354     │ │  \n",
       "  └──────────────────────────┘│    │ 100    0.292944     │ │  \n",
       "                              │    │ 010    0.0244673    │ │  \n",
       "                              │    │ 110    0.0107403    │ │  \n",
       "                              │    │ 001    0.00301283   │ │  \n",
       "                              │    │ 101    0.00132252   │ │  \n",
       "                              │    │ 011    0.00011046   │ │  \n",
       "                              │    │ 111    4.84878e-05  │ │  \n",
       "                              │    └─────────────────────┘ │  \n",
       "                              └────────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [B,C,D], state = [0, 0, 0], φ = 0.0160392  \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "               MIC                           MIE                \n",
       "  ┌────────────────────────────┐┌────────────────────────────┐  \n",
       "  │  φ = 0.077012              ││  φ = 0.0160392             │  \n",
       "  │  Purview: [B,C,D]          ││  Purview: [B,C,D]          │  \n",
       "  │  MIP:                      ││  MIP:                      │  \n",
       "  │     ∅     B    C,D         ││     ∅    B,C    D          │  \n",
       "  │    ─── ✕ ─── ✕ ───         ││    ─── ✕ ─── ✕ ───         │  \n",
       "  │     ∅     B    C,D         ││     ∅    B,C    D          │  \n",
       "  │  Repertoire:               ││  Repertoire:               │  \n",
       "  │    ┌─────────────────────┐ ││    ┌─────────────────────┐ │  \n",
       "  │    │  S     Pr(S)        │ ││    │  S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 000 *  0.457465     │ ││    │ 000 *  0.997633     │ │  \n",
       "  │    │ 100    0.134096     │ ││    │ 100    0.00236503   │ │  \n",
       "  │    │ 010    0.165774     │ ││    │ 010    1.55152e-06  │ │  \n",
       "  │    │ 110    0.00688567   │ ││    │ 110    3.67809e-09  │ │  \n",
       "  │    │ 001    0.195359     │ ││    │ 001    0            │ │  \n",
       "  │    │ 101    0.0311206    │ ││    │ 101    0            │ │  \n",
       "  │    │ 011    0.00904026   │ ││    │ 011    0            │ │  \n",
       "  │    │ 111    0.000260089  │ ││    │ 111    0            │ │  \n",
       "  │    └─────────────────────┘ ││    └─────────────────────┘ │  \n",
       "  │  Partitioned repertoire:   ││  Partitioned repertoire:   │  \n",
       "  │    ┌────────────────────┐  ││    ┌─────────────────────┐ │  \n",
       "  │    │  S     Pr(S)       │  ││    │  S     Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │  ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 000 *  0.514085    │  ││    │ 000 *  0.986578     │ │  \n",
       "  │    │ 100    0.0977289   │  ││    │ 100    0.00445399   │ │  \n",
       "  │    │ 010    0.1358      │  ││    │ 010    0.00445399   │ │  \n",
       "  │    │ 110    0.0258159   │  ││    │ 110    2.01079e-05  │ │  \n",
       "  │    │ 001    0.183326    │  ││    │ 001    0.00445399   │ │  \n",
       "  │    │ 101    0.0348507   │  ││    │ 101    2.01079e-05  │ │  \n",
       "  │    │ 011    0.00705277  │  ││    │ 011    2.01079e-05  │ │  \n",
       "  │    │ 111    0.00134075  │  ││    │ 111    9.07791e-08  │ │  \n",
       "  │    └────────────────────┘  ││    └─────────────────────┘ │  \n",
       "  └────────────────────────────┘└────────────────────────────┘  \n",
       "    \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "  Concept: mechanism = [A,B,C,D], state = [0, 0, 0, 0], φ = 0.00991683  \n",
       "  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  \n",
       "                MIC                            MIE                \n",
       "  ┌─────────────────────────────┐┌─────────────────────────────┐  \n",
       "  │  φ = 0.0368791              ││  φ = 0.00991683             │  \n",
       "  │  Purview: [A,B,C,D]         ││  Purview: [A,B,C,D]         │  \n",
       "  │  MIP:                       ││  MIP:                       │  \n",
       "  │     ∅    A,C,D    B         ││     ∅     A    B,C,D        │  \n",
       "  │    ─── ✕ ───── ✕ ───        ││    ─── ✕ ─── ✕ ─────        │  \n",
       "  │     ∅     A,D    B,C        ││     ∅     A    B,C,D        │  \n",
       "  │  Repertoire:                ││  Repertoire:                │  \n",
       "  │    ┌──────────────────────┐ ││    ┌────────────────┐       │  \n",
       "  │    │  S      Pr(S)        │ ││    │  S      Pr(S)  │       │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │       │  \n",
       "  │    │ 0000 *  0.313008     │ ││    │ 0000 *  1      │       │  \n",
       "  │    │ 1000    0.134818     │ ││    │ 1000    0      │       │  \n",
       "  │    │ 0100    0.13418      │ ││    │ 0100    0      │       │  \n",
       "  │    │ 1100    0.00765278   │ ││    │ 1100    0      │       │  \n",
       "  │    │ 0010    0.13418      │ ││    │ 0010    0      │       │  \n",
       "  │    │ 1010    0.0325621    │ ││    │ 1010    0      │       │  \n",
       "  │    │ 0110    0.00755145   │ ││    │ 0110    0      │       │  \n",
       "  │    │ 1110    0.000279918  │ ││    │ 1110    0      │       │  \n",
       "  │    │ 0001    0.134818     │ ││    │ 0001    0      │       │  \n",
       "  │    │ 1001    0.0570795    │ ││    │ 1001    0      │       │  \n",
       "  │    │ 0101    0.0325621    │ ││    │ 0101    0      │       │  \n",
       "  │    │ 1101    0.00168238   │ ││    │ 1101    0      │       │  \n",
       "  │    │ 0011    0.00765278   │ ││    │ 0011    0      │       │  \n",
       "  │    │ 1011    0.00168238   │ ││    │ 1011    0      │       │  \n",
       "  │    │ 0111    0.000279918  │ ││    │ 0111    0      │       │  \n",
       "  │    │ 1111    1.09341e-05  │ ││    │ 1111    0      │       │  \n",
       "  │    └──────────────────────┘ ││    └────────────────┘       │  \n",
       "  │  Partitioned repertoire:    ││  Partitioned repertoire:    │  \n",
       "  │    ┌─────────────────────┐  ││    ┌──────────────────────┐ │  \n",
       "  │    │  S      Pr(S)       │  ││    │  S      Pr(S)        │ │  \n",
       "  │    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │  ││    │ ╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴╴ │ │  \n",
       "  │    │ 0000 *  0.288461    │  ││    │ 0000 *  0.99315      │ │  \n",
       "  │    │ 1000    0.0731004   │  ││    │ 1000    0.00448366   │ │  \n",
       "  │    │ 0100    0.0768904   │  ││    │ 0100    0.0023544    │ │  \n",
       "  │    │ 1100    0.0194852   │  ││    │ 1100    1.06292e-05  │ │  \n",
       "  │    │ 0010    0.263835    │  ││    │ 0010    1.54454e-06  │ │  \n",
       "  │    │ 1010    0.0668597   │  ││    │ 1010    6.97298e-09  │ │  \n",
       "  │    │ 0110    0.0281025   │  ││    │ 0110    3.66156e-09  │ │  \n",
       "  │    │ 1110    0.00712159  │  ││    │ 1110    1.65304e-11  │ │  \n",
       "  │    │ 0001    0.0618406   │  ││    │ 0001    0            │ │  \n",
       "  │    │ 1001    0.015463    │  ││    │ 1001    0            │ │  \n",
       "  │    │ 0101    0.0164839   │  ││    │ 0101    0            │ │  \n",
       "  │    │ 1101    0.00412173  │  ││    │ 1101    0            │ │  \n",
       "  │    │ 0011    0.0565612   │  ││    │ 0011    0            │ │  \n",
       "  │    │ 1011    0.0141429   │  ││    │ 1011    0            │ │  \n",
       "  │    │ 0111    0.00602464  │  ││    │ 0111    0            │ │  \n",
       "  │    │ 1111    0.00150644  │  ││    │ 1111    0            │ │  \n",
       "  │    └─────────────────────┘  ││    └──────────────────────┘ │  \n",
       "  └─────────────────────────────┘└─────────────────────────────┘  \n",
       "    "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "distinctions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d9bcc804-2e15-4ff9-adf4-91a8147e8022",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2af8767c6f5f4fc6b7672171cbfbf7a8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/334 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/diego/anaconda3/lib/python3.9/site-packages/pyphi/pyphi/utils.py:87: RuntimeWarning: invalid value encountered in double_scalars\n",
      "  return abs(x - y) <= constants.EPSILON\n"
     ]
    }
   ],
   "source": [
    "#Compute all relations\n",
    "relations = list(pyphi.relations.relations(subsystem,sep(distinctions),max_degree=2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "4891bd7f-ffbc-4e27-bc2a-367bfae9a612",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Relation(relata=(Effect[0,2,3],Cause[2]), purview=frozenset({2}), phi=0.5824214947027485),\n",
       " Relation(relata=(Cause[0,1],Cause[1]), purview=frozenset({1}), phi=0.3485718560370109),\n",
       " Relation(relata=(Cause[0,2],Effect[0,3]), purview=frozenset({1}), phi=0.07886056238260826),\n",
       " Relation(relata=(Cause[1,3],Cause[1,2,3]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[0,1],Cause[0,1,3]), purview=frozenset({1}), phi=0.3738936916172339),\n",
       " Relation(relata=(Cause[1,3],Effect[1,3]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[0,2,3],Effect[3]), purview=frozenset({3}), phi=0.4756872078760291),\n",
       " Relation(relata=(Effect[0,1],Effect[0,3]), purview=frozenset({1}), phi=0.07886056238260826),\n",
       " Relation(relata=(Cause[0],Effect[0,1,2,3]), purview=frozenset({0}), phi=0.5203817439621854),\n",
       " Relation(relata=(Cause[0,2,3],Effect[2]), purview=frozenset({2}), phi=0.37389369161723407),\n",
       " Relation(relata=(Effect[0,2],Cause[1,2]), purview=frozenset({1, 2}), phi=0.6115467676450679),\n",
       " Relation(relata=(Cause[0,2],Cause[0,1,2]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[1,2,3],Effect[1]), purview=frozenset({1}), phi=0.7137239705010131),\n",
       " Relation(relata=(Cause[0,1],Effect[1]), purview=frozenset({1}), phi=0.3485718560370109),\n",
       " Relation(relata=(Effect[0,1,2],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.5302633237693963),\n",
       " Relation(relata=(Cause[0,2],Cause[0,3]), purview=frozenset({1}), phi=0.06050021910372112),\n",
       " Relation(relata=(Cause[2,3],Effect[2]), purview=frozenset({2}), phi=0.3485718560370109),\n",
       " Relation(relata=(Cause[2,3],Cause[1,2,3]), purview=frozenset({2, 3}), phi=0.4823422631982804),\n",
       " Relation(relata=(Effect[0,3],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Effect[1],Cause[0,1,2,3]), purview=frozenset({1}), phi=0.08278086747512967),\n",
       " Relation(relata=(Effect[2,3],Effect[2]), purview=frozenset({2}), phi=0.7137239705010137),\n",
       " Relation(relata=(Effect[0,2,3],Cause[0,1,2,3]), purview=frozenset({1, 2}), phi=0.26126230321719374),\n",
       " Relation(relata=(Effect[0,2,3],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.3603999533918335),\n",
       " Relation(relata=(Cause[2],Effect[2]), purview=frozenset({2}), phi=0.629285242579019),\n",
       " Relation(relata=(Cause[0,1,2],Cause[0,1,2,3]), purview=frozenset({0, 1, 2}), phi=0.3621610479246914),\n",
       " Relation(relata=(Cause[1,2,3],Effect[0,1,3]), purview=frozenset({1, 2}), phi=0.47654005507952046),\n",
       " Relation(relata=(Effect[1],Cause[0,3]), purview=frozenset({1}), phi=0.06050021910372112),\n",
       " Relation(relata=(Cause[0,2,3],Effect[0,2,3]), purview=frozenset({1, 2}), phi=0.5302633237693966),\n",
       " Relation(relata=(Cause[0,1,2,3],Effect[0,1,2]), purview=frozenset({0, 1, 2}), phi=0.3621610479246914),\n",
       " Relation(relata=(Cause[0,1,2,3],Effect[0,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Cause[0,3],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[1],Cause[1,2]), purview=frozenset({1}), phi=0.4153811206299698),\n",
       " Relation(relata=(Effect[1,3],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.5302633237693963),\n",
       " Relation(relata=(Cause[0,1],Effect[0,3]), purview=frozenset({1}), phi=0.07886056238260826),\n",
       " Relation(relata=(Effect[0,2,3],Effect[0,1,2]), purview=frozenset({1, 2}), phi=0.823378657988878),\n",
       " Relation(relata=(Effect[0,1],Cause[0,1,2,3]), purview=frozenset({0, 1}), phi=0.1756225857962925),\n",
       " Relation(relata=(Effect[0,2,3],Effect[1,2]), purview=frozenset({1, 2}), phi=0.823378657988878),\n",
       " Relation(relata=(Effect[0],Cause[0,1,2,3]), purview=frozenset({0}), phi=0.05384847129222373),\n",
       " Relation(relata=(Effect[0,1],Effect[1]), purview=frozenset({1}), phi=0.7137239705010131),\n",
       " Relation(relata=(Cause[0,2,3],Cause[1,2]), purview=frozenset({1, 2}), phi=0.5302633237693966),\n",
       " Relation(relata=(Cause[1,2],Effect[0,1,3]), purview=frozenset({1, 2}), phi=0.6563382839160995),\n",
       " Relation(relata=(Cause[0,1,2,3],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.2022236575808337),\n",
       " Relation(relata=(Effect[2,3],Cause[0,1,2,3]), purview=frozenset({2}), phi=0.15433012402409746),\n",
       " Relation(relata=(Effect[0,2,3],Effect[0,1,3]), purview=frozenset({1, 2}), phi=0.4819143265722592),\n",
       " Relation(relata=(Cause[0,2,3],Cause[0,1,2]), purview=frozenset({1, 2}), phi=0.3550256818990947),\n",
       " Relation(relata=(Effect[1,2,3],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.5302633237693963),\n",
       " Relation(relata=(Effect[0,2],Cause[2]), purview=frozenset({2}), phi=0.5125545880051706),\n",
       " Relation(relata=(Cause[1,2],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.5302633237693963),\n",
       " Relation(relata=(Cause[0,2],Effect[0,1,2,3]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[0,2,3],Effect[0,1,2,3]), purview=frozenset({1, 2}), phi=0.5302633237693966),\n",
       " Relation(relata=(Effect[2,3],Cause[0,1,2]), purview=frozenset({2}), phi=0.23558289179339065),\n",
       " Relation(relata=(Cause[0,1,2],Effect[0,1,2,3]), purview=frozenset({0, 1, 2}), phi=0.8562529985412689),\n",
       " Relation(relata=(Cause[0,1],Effect[0,2]), purview=frozenset({0, 1}), phi=0.5013485655544765),\n",
       " Relation(relata=(Effect[0,1],Cause[0,2]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[2,3],Effect[0,2]), purview=frozenset({2}), phi=0.3485718560370109),\n",
       " Relation(relata=(Effect[0,2,3],Effect[1,2,3]), purview=frozenset({1, 2, 3}), phi=1.299065865864907),\n",
       " Relation(relata=(Effect[1,2,3],Cause[0,1,2]), purview=frozenset({1, 2}), phi=0.5198279482519588),\n",
       " Relation(relata=(Cause[0,1],Effect[1,2,3]), purview=frozenset({1}), phi=0.3485718560370109),\n",
       " Relation(relata=(Effect[0,1],Cause[0,1,2]), purview=frozenset({0, 1}), phi=0.48781559312218187),\n",
       " Relation(relata=(Cause[0],Effect[0,2]), purview=frozenset({0}), phi=0.44284970279625413),\n",
       " Relation(relata=(Cause[0,2,3],Cause[2]), purview=frozenset({2}), phi=0.37389369161723407),\n",
       " Relation(relata=(Effect[1],Effect[0,1,2,3]), purview=frozenset({1}), phi=0.7137239705010131),\n",
       " Relation(relata=(Cause[0,1],Effect[0,1,2]), purview=frozenset({0, 1}), phi=0.7899526207821111),\n",
       " Relation(relata=(Cause[2,3],Effect[3]), purview=frozenset({3}), phi=0.3051829185393784),\n",
       " Relation(relata=(Effect[1,3],Cause[2]), purview=frozenset({2}), phi=0.19616564701509828),\n",
       " Relation(relata=(Effect[1,2,3],Cause[2]), purview=frozenset({2}), phi=0.629285242579019),\n",
       " Relation(relata=(Effect[0,2,3],Cause[0,2]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[2,3],Cause[3]), purview=frozenset({3}), phi=0.5203817439621854),\n",
       " Relation(relata=(Effect[0,2,3],Cause[0,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[0,3],Cause[0,1,2]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[0],Cause[0,1]), purview=frozenset({0}), phi=0.3051829185393784),\n",
       " Relation(relata=(Effect[1],Effect[1,2]), purview=frozenset({1}), phi=0.7137239705010131),\n",
       " Relation(relata=(Cause[0,1],Effect[1,3]), purview=frozenset({1}), phi=0.3485718560370109),\n",
       " Relation(relata=(Cause[0,3],Cause[1,2]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[0,1,2,3],Effect[0,1,2,3]), purview=frozenset({0, 1, 2}), phi=0.3621610479246914),\n",
       " Relation(relata=(Cause[0,2],Effect[1]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[2,3],Effect[0,3]), purview=frozenset({2}), phi=0.07886056238260837),\n",
       " Relation(relata=(Effect[1,2,3],Effect[0,1,2,3]), purview=frozenset({1, 2, 3}), phi=2.2934270330882263),\n",
       " Relation(relata=(Cause[0,3],Cause[0,1,2,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Effect[0,1,2,3],Cause[1,2]), purview=frozenset({1, 2}), phi=0.9470674774522065),\n",
       " Relation(relata=(Effect[1],Effect[0,1,2]), purview=frozenset({1}), phi=0.7137239705010131),\n",
       " Relation(relata=(Cause[1],Effect[1]), purview=frozenset({1}), phi=0.629285242579019),\n",
       " Relation(relata=(Cause[2,3],Cause[0,1,2,3]), purview=frozenset({2}), phi=0.15433012402409746),\n",
       " Relation(relata=(Cause[0,2],Cause[0,1,3]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[2,3],Cause[1,2]), purview=frozenset({2}), phi=0.4153811206299698),\n",
       " Relation(relata=(Cause[0,2,3],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.2388855802114081),\n",
       " Relation(relata=(Cause[0,1,3],Effect[0,1,3]), purview=frozenset({1, 2}), phi=0.5302633237693963),\n",
       " Relation(relata=(Cause[1,3],Cause[0,3]), purview=frozenset({2}), phi=0.06050021910372112),\n",
       " Relation(relata=(Cause[1,3],Effect[1,2]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[0,1],Cause[1,2]), purview=frozenset({1}), phi=0.4153811206299698),\n",
       " Relation(relata=(Effect[0,2],Effect[1]), purview=frozenset({1}), phi=0.1961656470150981),\n",
       " Relation(relata=(Effect[1],Effect[0,1,3]), purview=frozenset({1}), phi=0.5824214947027483),\n",
       " Relation(relata=(Cause[0,2,3],Cause[1,2,3]), purview=frozenset({1, 2}), phi=0.29660213476460606),\n",
       " Relation(relata=(Effect[1,2,3],Cause[1,2]), purview=frozenset({1, 2}), phi=0.9470674774522065),\n",
       " Relation(relata=(Effect[2,3],Effect[0,1,2,3]), purview=frozenset({2, 3}), phi=1.4707948357090543),\n",
       " Relation(relata=(Effect[0,2],Effect[0,1,3]), purview=frozenset({0, 1, 2}), phi=0.8799725130974819),\n",
       " Relation(relata=(Cause[1,2,3],Effect[1,2]), purview=frozenset({1, 2}), phi=0.5198279482519591),\n",
       " Relation(relata=(Cause[0],Effect[0,1]), purview=frozenset({0}), phi=0.5203817439621854),\n",
       " Relation(relata=(Cause[0,2],Cause[1,2,3]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[0,2],Effect[0,1,2]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[1],Cause[0,1,3]), purview=frozenset({1}), phi=0.3738936916172339),\n",
       " Relation(relata=(Effect[0],Effect[0,2]), purview=frozenset({0}), phi=0.44284970279625413),\n",
       " Relation(relata=(Effect[1,3],Effect[2,3]), purview=frozenset({2, 3}), phi=0.6390153498113522),\n",
       " Relation(relata=(Cause[1,3],Effect[0,1,3]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[1,3],Effect[3]), purview=frozenset({3}), phi=0.44284970279625413),\n",
       " Relation(relata=(Cause[1,2,3],Effect[0,1,2]), purview=frozenset({1, 2}), phi=0.5198279482519591),\n",
       " Relation(relata=(Effect[0,1],Effect[0,1,2,3]), purview=frozenset({0, 1}), phi=1.4707948357090541),\n",
       " Relation(relata=(Effect[0,1,2,3],Cause[3]), purview=frozenset({3}), phi=0.5203817439621854),\n",
       " Relation(relata=(Effect[0,1],Effect[1,3]), purview=frozenset({1}), phi=0.5125545880051705),\n",
       " Relation(relata=(Effect[0,2],Effect[2]), purview=frozenset({2}), phi=0.5125545880051706),\n",
       " Relation(relata=(Cause[0,2],Effect[0,1,3]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[2],Effect[0,3]), purview=frozenset({2}), phi=0.07886056238260837),\n",
       " Relation(relata=(Effect[0,1],Cause[1,2,3]), purview=frozenset({1}), phi=0.2355828917933908),\n",
       " Relation(relata=(Cause[1,3],Cause[0,1,3]), purview=frozenset({2}), phi=0.11944279010570402),\n",
       " Relation(relata=(Cause[0,3],Effect[0,1,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[0,1],Cause[0,3]), purview=frozenset({1}), phi=0.06050021910372112),\n",
       " Relation(relata=(Effect[1,3],Cause[1,2]), purview=frozenset({1, 2}), phi=0.6115467676450681),\n",
       " Relation(relata=(Effect[2],Cause[0,1,3]), purview=frozenset({2}), phi=0.11944279010570402),\n",
       " Relation(relata=(Effect[1,3],Effect[0,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Cause[2],Cause[0,1,2]), purview=frozenset({2}), phi=0.23558289179339065),\n",
       " Relation(relata=(Cause[2,3],Effect[0,3]), purview=frozenset({2}), phi=0.07886056238260837),\n",
       " Relation(relata=(Cause[1,2,3],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.3550256818990948),\n",
       " Relation(relata=(Effect[0,3],Effect[0,1,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Effect[0,2,3],Cause[1]), purview=frozenset({1}), phi=0.2409571632861295),\n",
       " Relation(relata=(Cause[0,1,2],Effect[0,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Cause[2],Effect[1,2]), purview=frozenset({2}), phi=0.629285242579019),\n",
       " Relation(relata=(Cause[2],Cause[0,3]), purview=frozenset({2}), phi=0.06050021910372112),\n",
       " Relation(relata=(Cause[0,2,3],Effect[0,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Cause[0,2,3],Effect[1,2,3]), purview=frozenset({1, 2}), phi=0.5302633237693966),\n",
       " Relation(relata=(Cause[0,1],Cause[0,1,2]), purview=frozenset({0, 1}), phi=0.4823422631982802),\n",
       " Relation(relata=(Effect[1,2,3],Effect[0,1,3]), purview=frozenset({1, 2}), phi=0.823378657988878),\n",
       " Relation(relata=(Effect[1,3],Effect[1]), purview=frozenset({1}), phi=0.5125545880051705),\n",
       " Relation(relata=(Effect[0,1,2],Effect[0,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Cause[0,1],Cause[1,2,3]), purview=frozenset({1}), phi=0.2355828917933908),\n",
       " Relation(relata=(Cause[0,3],Effect[0,1,2,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[0,1,2,3],Cause[1,2]), purview=frozenset({1, 2}), phi=0.26126230321719374),\n",
       " Relation(relata=(Effect[1,2,3],Cause[0,1,2,3]), purview=frozenset({1, 2}), phi=0.26126230321719374),\n",
       " Relation(relata=(Effect[0,3],Effect[1,2]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Cause[1,3],Cause[2,3]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[0],Cause[0,1,2,3]), purview=frozenset({0}), phi=0.05384847129222373),\n",
       " Relation(relata=(Cause[1,3],Effect[1,2,3]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[0,2,3],Cause[1,2]), purview=frozenset({1, 2}), phi=0.6563382839160993),\n",
       " Relation(relata=(Cause[1,3],Effect[0,1,2,3]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[1,3],Cause[0,1,2,3]), purview=frozenset({2}), phi=0.15433012402409746),\n",
       " Relation(relata=(Effect[1,3],Cause[0,2]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[1],Effect[0,1,2,3]), purview=frozenset({1}), phi=0.629285242579019),\n",
       " Relation(relata=(Cause[1,3],Cause[2]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[1,3],Cause[1,2,3]), purview=frozenset({1, 2, 3}), phi=0.671925071569441),\n",
       " Relation(relata=(Effect[1,3],Effect[0,1,2]), purview=frozenset({1, 2}), phi=0.7087202350202687),\n",
       " Relation(relata=(Effect[0,2],Cause[0,1,2,3]), purview=frozenset({0, 1, 2}), phi=0.3621610479246914),\n",
       " Relation(relata=(Effect[1,3],Effect[0,2]), purview=frozenset({1, 2}), phi=0.3923312940301964),\n",
       " Relation(relata=(Cause[0,2,3],Effect[1]), purview=frozenset({1}), phi=0.11944279010570406),\n",
       " Relation(relata=(Effect[1],Cause[0,1,2]), purview=frozenset({1}), phi=0.17715934465890185),\n",
       " Relation(relata=(Effect[0,2,3],Cause[1,2,3]), purview=frozenset({1, 2, 3}), phi=0.7287727564083114),\n",
       " Relation(relata=(Effect[1,2,3],Effect[2]), purview=frozenset({2}), phi=0.7137239705010137),\n",
       " Relation(relata=(Effect[2],Cause[1,2]), purview=frozenset({2}), phi=0.4153811206299698),\n",
       " Relation(relata=(Effect[0,1,2,3],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.5302633237693963),\n",
       " Relation(relata=(Cause[1,3],Cause[0,1,2]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[0,2],Cause[0,1,2,3]), purview=frozenset({1}), phi=0.08278086747512967),\n",
       " Relation(relata=(Cause[1,2,3],Effect[0,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Cause[2,3],Cause[0,1,3]), purview=frozenset({2}), phi=0.11944279010570402),\n",
       " Relation(relata=(Effect[0,3],Effect[2]), purview=frozenset({2}), phi=0.07886056238260837),\n",
       " Relation(relata=(Effect[0,1],Cause[1]), purview=frozenset({1}), phi=0.629285242579019),\n",
       " Relation(relata=(Effect[1,3],Cause[3]), purview=frozenset({3}), phi=0.44284970279625413),\n",
       " Relation(relata=(Cause[1,2,3],Cause[3]), purview=frozenset({3}), phi=0.1786285822145354),\n",
       " Relation(relata=(Cause[1,3],Effect[0,3]), purview=frozenset({2}), phi=0.07886056238260837),\n",
       " Relation(relata=(Cause[0,2,3],Cause[0,2]), purview=frozenset({1}), phi=0.11944279010570406),\n",
       " Relation(relata=(Cause[0,2,3],Cause[0,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[0,3],Effect[2]), purview=frozenset({2}), phi=0.06050021910372112),\n",
       " Relation(relata=(Cause[0,2,3],Effect[0,1]), purview=frozenset({1}), phi=0.11944279010570406),\n",
       " Relation(relata=(Effect[2,3],Effect[0,1,2]), purview=frozenset({2}), phi=0.8081994167393834),\n",
       " Relation(relata=(Effect[1],Cause[1,2]), purview=frozenset({1}), phi=0.4153811206299698),\n",
       " Relation(relata=(Effect[0,1,2,3],Effect[1,2]), purview=frozenset({1, 2}), phi=1.6091367565269208),\n",
       " Relation(relata=(Cause[2,3],Effect[0,1,2]), purview=frozenset({2}), phi=0.3485718560370109),\n",
       " Relation(relata=(Effect[2,3],Effect[1,2]), purview=frozenset({2}), phi=0.8045683782634602),\n",
       " Relation(relata=(Cause[1],Cause[0,3]), purview=frozenset({1}), phi=0.06050021910372112),\n",
       " Relation(relata=(Cause[2],Effect[0,1,3]), purview=frozenset({2}), phi=0.2409571632861297),\n",
       " Relation(relata=(Cause[0,3],Effect[0,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[1,2,3],Effect[2,3]), purview=frozenset({2, 3}), phi=0.4878155931221819),\n",
       " Relation(relata=(Cause[0,2,3],Cause[1]), purview=frozenset({1}), phi=0.11944279010570406),\n",
       " Relation(relata=(Effect[2,3],Effect[0,2]), purview=frozenset({2}), phi=0.5125545880051706),\n",
       " Relation(relata=(Effect[0,2],Effect[0,1,2,3]), purview=frozenset({0, 1, 2}), phi=1.151569937816523),\n",
       " Relation(relata=(Effect[2,3],Effect[0,1,3]), purview=frozenset({2}), phi=0.2409571632861297),\n",
       " Relation(relata=(Cause[1],Effect[0,1,3]), purview=frozenset({1}), phi=0.5824214947027483),\n",
       " Relation(relata=(Effect[0,2,3],Effect[0,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Cause[0],Effect[0,1,2]), purview=frozenset({0}), phi=0.5203817439621854),\n",
       " Relation(relata=(Cause[1,3],Effect[2]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[0,2,3],Cause[2,3]), purview=frozenset({2, 3}), phi=0.7899526207821111),\n",
       " Relation(relata=(Effect[1,2,3],Effect[0,2]), purview=frozenset({1, 2}), phi=0.7087202350202687),\n",
       " Relation(relata=(Cause[2,3],Effect[0,1,3]), purview=frozenset({2}), phi=0.2409571632861297),\n",
       " Relation(relata=(Cause[0,1],Cause[0,2]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[0,1],Effect[0,2]), purview=frozenset({0, 1}), phi=0.6390153498113522),\n",
       " Relation(relata=(Effect[1,2,3],Effect[1,2]), purview=frozenset({1, 2}), phi=1.6091367565269208),\n",
       " Relation(relata=(Cause[0,1],Effect[1,2]), purview=frozenset({1}), phi=0.3485718560370109),\n",
       " Relation(relata=(Cause[1],Cause[0,1,2,3]), purview=frozenset({1}), phi=0.08278086747512967),\n",
       " Relation(relata=(Cause[0],Cause[0,1,2]), purview=frozenset({0}), phi=0.17862858221453526),\n",
       " Relation(relata=(Effect[2,3],Effect[3]), purview=frozenset({3}), phi=0.6561293724897728),\n",
       " Relation(relata=(Effect[0,1,2,3],Effect[3]), purview=frozenset({3}), phi=0.6561293724897728),\n",
       " Relation(relata=(Cause[1],Effect[1,2,3]), purview=frozenset({1}), phi=0.629285242579019),\n",
       " Relation(relata=(Effect[1,2,3],Effect[0,1,2]), purview=frozenset({1, 2}), phi=1.626006423061491),\n",
       " Relation(relata=(Cause[1],Cause[1,2,3]), purview=frozenset({1}), phi=0.2355828917933908),\n",
       " Relation(relata=(Cause[1,2,3],Cause[2]), purview=frozenset({2}), phi=0.17715934465890198),\n",
       " Relation(relata=(Effect[0,2],Cause[0,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[0,1,2],Cause[1,2]), purview=frozenset({1, 2}), phi=0.5198279482519588),\n",
       " Relation(relata=(Effect[0,2,3],Effect[0,2]), purview=frozenset({1, 2}), phi=0.7087202350202687),\n",
       " Relation(relata=(Cause[2,3],Effect[1,2,3]), purview=frozenset({2, 3}), phi=0.7899526207821111),\n",
       " Relation(relata=(Cause[2,3],Cause[1,2]), purview=frozenset({2}), phi=0.3485718560370109),\n",
       " Relation(relata=(Effect[1,3],Cause[1]), purview=frozenset({1}), phi=0.5125545880051705),\n",
       " Relation(relata=(Cause[0,1,3],Effect[1,2]), purview=frozenset({1, 2}), phi=0.5302633237693963),\n",
       " Relation(relata=(Effect[0,1,2,3],Effect[2]), purview=frozenset({2}), phi=0.7137239705010137),\n",
       " Relation(relata=(Cause[1,3],Cause[0,2,3]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[1,2,3],Effect[0,1,2,3]), purview=frozenset({1, 2, 3}), phi=0.8562529985412691),\n",
       " Relation(relata=(Effect[0,2],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.3156084371208021),\n",
       " Relation(relata=(Cause[2],Cause[1,2]), purview=frozenset({2}), phi=0.4153811206299698),\n",
       " Relation(relata=(Effect[0],Effect[0,1,2]), purview=frozenset({0}), phi=0.6561293724897728),\n",
       " Relation(relata=(Cause[0,2,3],Effect[1,3]), purview=frozenset({1, 2}), phi=0.31560843712080233),\n",
       " Relation(relata=(Effect[0,2,3],Effect[1]), purview=frozenset({1}), phi=0.2409571632861295),\n",
       " Relation(relata=(Cause[1,2,3],Cause[0,1,2]), purview=frozenset({1, 2}), phi=0.35431868931780386),\n",
       " Relation(relata=(Effect[1,3],Effect[0,1,3]), purview=frozenset({1, 2}), phi=0.7087202350202687),\n",
       " Relation(relata=(Effect[1,3],Cause[0,1,2]), purview=frozenset({1, 2}), phi=0.37332499167400013),\n",
       " Relation(relata=(Cause[0,1,2],Effect[0,1,3]), purview=frozenset({0, 1, 2}), phi=0.7287727564083115),\n",
       " Relation(relata=(Cause[0,2],Effect[1,2]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[0,1],Cause[1,2]), purview=frozenset({1}), phi=0.3485718560370109),\n",
       " Relation(relata=(Effect[1,3],Cause[0,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[0,1,2,3],Effect[1,2]), purview=frozenset({1, 2}), phi=0.26126230321719374),\n",
       " Relation(relata=(Effect[0],Effect[0,1,3]), purview=frozenset({0}), phi=0.4756872078760291),\n",
       " Relation(relata=(Cause[1,3],Effect[0,2]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[1,2,3],Effect[0,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Effect[0,2],Effect[0,1,2]), purview=frozenset({0, 1, 2}), phi=1.151569937816523),\n",
       " Relation(relata=(Cause[0,1],Effect[0]), purview=frozenset({0}), phi=0.3051829185393784),\n",
       " Relation(relata=(Cause[2,3],Cause[3]), purview=frozenset({3}), phi=0.3051829185393784),\n",
       " Relation(relata=(Effect[0,2],Effect[1,2]), purview=frozenset({1, 2}), phi=0.7087202350202687),\n",
       " Relation(relata=(Effect[0,1],Effect[1,2,3]), purview=frozenset({1}), phi=0.8081994167393829),\n",
       " Relation(relata=(Effect[0,2,3],Effect[2]), purview=frozenset({2}), phi=0.5824214947027485),\n",
       " Relation(relata=(Effect[0,1],Effect[0,2,3]), purview=frozenset({1}), phi=0.2409571632861295),\n",
       " Relation(relata=(Effect[1,2,3],Cause[0,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[0,3],Effect[1,2]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[1],Cause[0,1,3]), purview=frozenset({1}), phi=0.3738936916172339),\n",
       " Relation(relata=(Effect[0,1,2,3],Effect[0,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Effect[1,2,3],Effect[2,3]), purview=frozenset({2, 3}), phi=1.4707948357090543),\n",
       " Relation(relata=(Cause[0,3],Effect[0,1,2]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Effect[1,2,3],Effect[3]), purview=frozenset({3}), phi=0.6561293724897728),\n",
       " Relation(relata=(Cause[1],Effect[0,2]), purview=frozenset({1}), phi=0.1961656470150981),\n",
       " Relation(relata=(Effect[0,1],Effect[0,1,2]), purview=frozenset({0, 1}), phi=1.4707948357090541),\n",
       " Relation(relata=(Cause[0,2,3],Effect[2,3]), purview=frozenset({2}), phi=0.37389369161723407),\n",
       " Relation(relata=(Cause[0,1],Effect[0,2,3]), purview=frozenset({1}), phi=0.2409571632861295),\n",
       " Relation(relata=(Cause[0,2,3],Cause[2,3]), purview=frozenset({2}), phi=0.3485718560370109),\n",
       " Relation(relata=(Effect[0,1],Cause[0,3]), purview=frozenset({1}), phi=0.06050021910372112),\n",
       " Relation(relata=(Effect[0,1],Effect[1,2]), purview=frozenset({1}), phi=0.8045683782634601),\n",
       " Relation(relata=(Cause[2,3],Cause[0,1,2]), purview=frozenset({2}), phi=0.23558289179339065),\n",
       " Relation(relata=(Cause[0,1],Effect[0,1,3]), purview=frozenset({0, 1}), phi=0.7899526207821111),\n",
       " Relation(relata=(Cause[3],Effect[3]), purview=frozenset({3}), phi=0.5203817439621854),\n",
       " Relation(relata=(Effect[2],Effect[1,2]), purview=frozenset({2}), phi=0.7137239705010137),\n",
       " Relation(relata=(Cause[1],Effect[0,1,2]), purview=frozenset({1}), phi=0.629285242579019),\n",
       " Relation(relata=(Effect[1,3],Cause[2,3]), purview=frozenset({2, 3}), phi=0.5013485655544767),\n",
       " Relation(relata=(Cause[2,3],Cause[0,3]), purview=frozenset({2}), phi=0.06050021910372112),\n",
       " Relation(relata=(Cause[1,2,3],Effect[1,2,3]), purview=frozenset({1, 2, 3}), phi=0.8562529985412691),\n",
       " Relation(relata=(Cause[1,2,3],Effect[2]), purview=frozenset({2}), phi=0.17715934465890198),\n",
       " Relation(relata=(Effect[0,1],Effect[0,1,3]), purview=frozenset({0, 1}), phi=1.0581087025787774),\n",
       " Relation(relata=(Effect[0],Effect[0,1]), purview=frozenset({0}), phi=0.6561293724897728),\n",
       " Relation(relata=(Cause[1],Cause[0,2]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[0,2,3],Cause[3]), purview=frozenset({3}), phi=0.4756872078760291),\n",
       " Relation(relata=(Effect[0,1,2],Effect[2]), purview=frozenset({2}), phi=0.7137239705010137),\n",
       " Relation(relata=(Effect[2,3],Cause[0,3]), purview=frozenset({2}), phi=0.06050021910372112),\n",
       " Relation(relata=(Effect[0,1,2],Effect[1,2]), purview=frozenset({1, 2}), phi=1.6091367565269208),\n",
       " Relation(relata=(Cause[1],Effect[1,2]), purview=frozenset({1}), phi=0.629285242579019),\n",
       " Relation(relata=(Cause[0,1],Cause[0,1,2,3]), purview=frozenset({0, 1}), phi=0.1756225857962925),\n",
       " Relation(relata=(Effect[1,3],Effect[0,1,2,3]), purview=frozenset({1, 2, 3}), phi=1.151569937816523),\n",
       " Relation(relata=(Cause[2,3],Effect[0,1,2,3]), purview=frozenset({2, 3}), phi=0.7899526207821111),\n",
       " Relation(relata=(Cause[1,2,3],Cause[0,1,2,3]), purview=frozenset({1, 2}), phi=0.2599402121340316),\n",
       " Relation(relata=(Cause[0,2,3],Effect[0,1,2]), purview=frozenset({1, 2}), phi=0.5302633237693966),\n",
       " Relation(relata=(Cause[2,3],Cause[2]), purview=frozenset({2}), phi=0.3485718560370109),\n",
       " Relation(relata=(Effect[0,1,2],Effect[0,1,3]), purview=frozenset({0, 1, 2}), phi=1.299065865864907),\n",
       " Relation(relata=(Cause[0,2],Effect[0,2]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[0,2,3],Effect[1,2]), purview=frozenset({1, 2}), phi=0.5302633237693966),\n",
       " Relation(relata=(Cause[2],Cause[0,1,2,3]), purview=frozenset({2}), phi=0.15433012402409746),\n",
       " Relation(relata=(Cause[2],Effect[0,1,2,3]), purview=frozenset({2}), phi=0.629285242579019),\n",
       " Relation(relata=(Effect[2],Effect[0,1,3]), purview=frozenset({2}), phi=0.2409571632861297),\n",
       " Relation(relata=(Effect[0,1,3],Effect[1,2]), purview=frozenset({1, 2}), phi=0.823378657988878),\n",
       " Relation(relata=(Effect[1,3],Effect[1,2]), purview=frozenset({1, 2}), phi=0.7087202350202687),\n",
       " Relation(relata=(Effect[1,3],Effect[1,2,3]), purview=frozenset({1, 2, 3}), phi=1.151569937816523),\n",
       " Relation(relata=(Cause[1,2,3],Cause[0,3]), purview=frozenset({1, 2}), phi=0.116003352756677),\n",
       " Relation(relata=(Cause[0,2,3],Effect[0,1,3]), purview=frozenset({1, 2}), phi=0.3603999533918338),\n",
       " Relation(relata=(Cause[1,2,3],Effect[1]), purview=frozenset({1}), phi=0.2355828917933908),\n",
       " Relation(relata=(Effect[0,2,3],Cause[0,1,2]), purview=frozenset({1, 2}), phi=0.47654005507952013),\n",
       " Relation(relata=(Cause[1,2,3],Effect[3]), purview=frozenset({3}), phi=0.1786285822145354),\n",
       " Relation(relata=(Cause[0,1],Effect[0,1,2,3]), purview=frozenset({0, 1}), phi=0.7899526207821111),\n",
       " Relation(relata=(Effect[1,3],Cause[0,1,2,3]), purview=frozenset({1, 2}), phi=0.26126230321719374),\n",
       " Relation(relata=(Cause[1,3],Effect[0,2,3]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[0,2,3],Cause[0,1,2,3]), purview=frozenset({1, 2}), phi=0.26126230321719374),\n",
       " Relation(relata=(Cause[0,1,2,3],Effect[0,1,3]), purview=frozenset({0, 1, 2}), phi=0.3621610479246914),\n",
       " Relation(relata=(Cause[0,1,2],Cause[0,1,3]), purview=frozenset({1, 2}), phi=0.29660213476460584),\n",
       " Relation(relata=(Effect[1,3],Effect[0,2,3]), purview=frozenset({1, 2, 3}), phi=0.8799725130974817),\n",
       " Relation(relata=(Cause[1,3],Effect[0,1,2]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[1,2,3],Effect[0,2]), purview=frozenset({1, 2}), phi=0.3733249916740001),\n",
       " Relation(relata=(Cause[1,2],Effect[1,2]), purview=frozenset({1, 2}), phi=0.9470674774522065),\n",
       " Relation(relata=(Cause[1],Effect[0,3]), purview=frozenset({1}), phi=0.07886056238260826),\n",
       " Relation(relata=(Cause[2,3],Effect[2,3]), purview=frozenset({2, 3}), phi=0.7899526207821111),\n",
       " Relation(relata=(Effect[0,1,2],Cause[1,2]), purview=frozenset({1, 2}), phi=0.9470674774522065),\n",
       " Relation(relata=(Effect[0],Cause[0,1,2]), purview=frozenset({0}), phi=0.17862858221453526),\n",
       " Relation(relata=(Effect[0,3],Cause[1,2]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Cause[0],Effect[0]), purview=frozenset({0}), phi=0.5203817439621854),\n",
       " Relation(relata=(Effect[1,2,3],Cause[3]), purview=frozenset({3}), phi=0.5203817439621854),\n",
       " Relation(relata=(Cause[0,1,2],Effect[0,1,2]), purview=frozenset({0, 1, 2}), phi=0.8562529985412689),\n",
       " Relation(relata=(Effect[2,3],Cause[2]), purview=frozenset({2}), phi=0.629285242579019),\n",
       " Relation(relata=(Cause[0,1],Effect[0,1]), purview=frozenset({0, 1}), phi=0.7899526207821111),\n",
       " Relation(relata=(Effect[0],Effect[0,1,2,3]), purview=frozenset({0}), phi=0.6561293724897728),\n",
       " Relation(relata=(Cause[2],Cause[0,1,3]), purview=frozenset({2}), phi=0.11944279010570402),\n",
       " Relation(relata=(Cause[1,3],Effect[2,3]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[0,1,2],Effect[1,2]), purview=frozenset({1, 2}), phi=0.5198279482519588),\n",
       " Relation(relata=(Cause[0,1,2],Effect[2]), purview=frozenset({2}), phi=0.23558289179339065),\n",
       " Relation(relata=(Cause[0,2,3],Effect[0,2]), purview=frozenset({1, 2}), phi=0.5302633237693966),\n",
       " Relation(relata=(Cause[2,3],Effect[1,2]), purview=frozenset({2}), phi=0.3485718560370109),\n",
       " Relation(relata=(Effect[0,1,2,3],Effect[0,1,2]), purview=frozenset({0, 1, 2}), phi=2.2934270330882263),\n",
       " Relation(relata=(Effect[1,3],Effect[2]), purview=frozenset({2}), phi=0.19616564701509828),\n",
       " Relation(relata=(Cause[0,1],Cause[0,1,3]), purview=frozenset({1}), phi=0.3485718560370109),\n",
       " Relation(relata=(Effect[1],Effect[0,3]), purview=frozenset({1}), phi=0.07886056238260826),\n",
       " Relation(relata=(Effect[0,2,3],Effect[2,3]), purview=frozenset({2, 3}), phi=1.0581087025787776),\n",
       " Relation(relata=(Effect[0,2,3],Effect[0,1,2,3]), purview=frozenset({1, 2, 3}), phi=1.299065865864907),\n",
       " Relation(relata=(Cause[1],Cause[0,1,2]), purview=frozenset({1}), phi=0.17715934465890185),\n",
       " Relation(relata=(Effect[0,2],Effect[0,3]), purview=frozenset({1, 2}), phi=0.1577211247652166),\n",
       " Relation(relata=(Cause[1,3],Cause[1,2]), purview=frozenset({2}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[0,1,2,3],Effect[0,1,3]), purview=frozenset({0, 1, 2}), phi=1.299065865864907),\n",
       " Relation(relata=(Cause[2],Effect[0,1,2]), purview=frozenset({2}), phi=0.629285242579019),\n",
       " Relation(relata=(Cause[0,1],Cause[0,2,3]), purview=frozenset({1}), phi=0.11944279010570406),\n",
       " Relation(relata=(Cause[0],Effect[0,1,3]), purview=frozenset({0}), phi=0.4756872078760291),\n",
       " Relation(relata=(Cause[0,2],Effect[1,2,3]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Cause[0,2],Cause[1,2]), purview=frozenset({1}), phi=0.16776015858407486),\n",
       " Relation(relata=(Effect[2,3],Cause[0,1,3]), purview=frozenset({2}), phi=0.11944279010570402),\n",
       " Relation(relata=(Cause[1,2,3],Cause[1,2]), purview=frozenset({1, 2}), phi=0.5198279482519591),\n",
       " Relation(relata=(Effect[0,2],Cause[0,1,2]), purview=frozenset({0, 1, 2}), phi=0.6719250715694407),\n",
       " Relation(relata=(Cause[0,1,2,3],Effect[2]), purview=frozenset({2}), phi=0.15433012402409746)]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "relations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "504f3c32-ae2c-48e9-9f77-e10f744a4e3a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Done putting relations\n",
      "Finding maximal compositional state\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4e4c53395f974368a6a0d376c1ea2d92",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Submitting tasks: 0it [00:00, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Done submitting tasks\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "68c94dca1d5b42279745c36d6a374ac5",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/2 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Evaluating maximal compositional state\n"
     ]
    }
   ],
   "source": [
    "ces = pyphi.big_phi.sia(subsystem,distinctions,relations)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "9410ada2-0c0c-4b26-8565-48b4a7983b1e",
   "metadata": {},
   "outputs": [],
   "source": [
    "max_distintions = ces.phi_structure.distinctions\n",
    "max_relations = ces.phi_structure.relations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "1051eccf-7edd-40f5-afda-d49613780476",
   "metadata": {},
   "outputs": [
    {
     "ename": "AttributeError",
     "evalue": "'MaximallyIrreducibleCause' object has no attribute 'node_labels'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mAttributeError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[0;32m/tmp/ipykernel_13317/3037096652.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[0;31m#Plot the cause-effect structure\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m fig = visualize_ces.plot_ces(\n\u001b[0m\u001b[1;32m      3\u001b[0m     \u001b[0msubsystem\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m     \u001b[0msep\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmax_distintions\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      5\u001b[0m     \u001b[0mmax_relations\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.9/site-packages/visualize_pyphi/visualize_ces.py\u001b[0m in \u001b[0;36mplot_ces\u001b[0;34m(subsystem, ces, relations, network_name, floor_width_scale, floor_width_scales, floor_height_scale, cause_effect_distance, base_height_scale, base_z_offset, base_width_scale, base_opacity, base_intensity, base_color, user_mechanism_coordinates, user_purview_coordinates, mechanism_labels_size, purview_labels_size, mechanism_label_position, purview_label_position, edge_size_range, state_as_lettercase, link_width_range, transparent_edges, surface_size_range, surface_colorscale, surface_opacity, axes_range, eye_coordinates, hovermode, plot_dimensions, save_plot_to_html, save_plot_to_png, show_mechanism_base, show_chains, show_links, show_mesh, show_edges, show_labels, colorcode_2_relations, show_legend, transparent_background, chain_width, fig)\u001b[0m\n\u001b[1;32m    372\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    373\u001b[0m     \u001b[0;31m# Get mechanism and purview labels\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 374\u001b[0;31m     mechanism_labels = [\n\u001b[0m\u001b[1;32m    375\u001b[0m         label_mechanism(\n\u001b[1;32m    376\u001b[0m             \u001b[0mmice\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbold\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstate\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msubsystem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstate\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mstate_as_lettercase\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/lib/python3.9/site-packages/visualize_pyphi/visualize_ces.py\u001b[0m in \u001b[0;36m<listcomp>\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m    373\u001b[0m     \u001b[0;31m# Get mechanism and purview labels\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    374\u001b[0m     mechanism_labels = [\n\u001b[0;32m--> 375\u001b[0;31m         label_mechanism(\n\u001b[0m\u001b[1;32m    376\u001b[0m             \u001b[0mmice\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbold\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstate\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0msubsystem\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mstate\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0mstate_as_lettercase\u001b[0m \u001b[0;32melse\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    377\u001b[0m         )\n",
      "\u001b[0;32m~/anaconda3/lib/python3.9/site-packages/visualize_pyphi/visualize_ces.py\u001b[0m in \u001b[0;36mlabel_mechanism\u001b[0;34m(mice, bold, state)\u001b[0m\n\u001b[1;32m     95\u001b[0m \u001b[0;32mdef\u001b[0m \u001b[0mlabel_mechanism\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mmice\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbold\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstate\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mFalse\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     96\u001b[0m     return make_label(\n\u001b[0;32m---> 97\u001b[0;31m         \u001b[0mmice\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mmechanism\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnode_labels\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mmice\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mnode_labels\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbold\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mbold\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mstate\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mstate\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     98\u001b[0m     )\n\u001b[1;32m     99\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mAttributeError\u001b[0m: 'MaximallyIrreducibleCause' object has no attribute 'node_labels'"
     ]
    }
   ],
   "source": [
    "#Plot the cause-effect structure\n",
    "fig = visualize_ces.plot_ces(\n",
    "    subsystem,\n",
    "    sep(max_distintions),\n",
    "    max_relations,\n",
    "    network_name=\"example_ces\",\n",
    ")\n",
    "\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "93950222-d8de-41a0-9d63-3333bc143ac0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5a9dabaf-2e1c-44e7-bda7-b468dcd7f90c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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