diff --git a/causallearn/graph/GraphClass.py b/causallearn/graph/GraphClass.py
index 09e8ccf1..cc2c314f 100644
--- a/causallearn/graph/GraphClass.py
+++ b/causallearn/graph/GraphClass.py
@@ -41,6 +41,9 @@ def __init__(self, no_of_var):
         self.labels = {}
         self.prt_m = {}  # store the parents of missingness indicators
         self.mvpc = None
+        self.cardinalities = None # only works when self.data is discrete, i.e. self.test is chisq or gsq
+        self.is_discrete = False
+        self.citest_cache = dict()
 
     def set_ind_test(self, indep_test, mvpc=False):
         """Set the conditional independence test that will be used"""
@@ -51,9 +54,20 @@ def set_ind_test(self, indep_test, mvpc=False):
 
     def ci_test(self, i, j, S):
         """Define the conditional independence test"""
+        # assert i != j and not i in S and not j in S
         if self.mvpc:
             return self.test(self.data, self.nx_skel, self.prt_m, i, j, S, self.data.shape[0])
-        return self.test(self.data, i, j, S)
+
+        i, j = (i, j) if (i < j) else (j, i)
+        ijS_key = (i, j, frozenset(S))
+        if ijS_key in self.citest_cache:
+            return self.citest_cache[ijS_key]
+        # if discrete, assert self.test is chisq or gsq, pass into cardinalities
+        pValue = self.test(self.data, i, j, S, self.cardinalities) if self.is_discrete \
+                    else self.test(self.data, i, j, S)
+        self.citest_cache[ijS_key] = pValue
+        return pValue
+
 
     def neighbors(self, i):
         """Find the neighbors of node i in adjmat"""
@@ -61,13 +75,7 @@ def neighbors(self, i):
 
     def max_degree(self):
         """Return the maximum number of edges connected to a node in adjmat"""
-        nodes = range(len(self.G.graph))
-        max_degree = 0
-        for i in nodes:
-            len_neigh_i = len(self.neighbors(i))
-            if len_neigh_i > max_degree:
-                max_degree = len_neigh_i
-        return max_degree
+        return max(np.sum(self.G.graph != 0, axis=1))
 
     def find_arrow_heads(self):
         """Return the list of i o-> j in adjmat as (i, j)"""
diff --git a/causallearn/search/ConstraintBased/FCI.py b/causallearn/search/ConstraintBased/FCI.py
index a1237715..da9caefe 100644
--- a/causallearn/search/ConstraintBased/FCI.py
+++ b/causallearn/search/ConstraintBased/FCI.py
@@ -1,11 +1,14 @@
+citest_cache = dict()  # added by haoyue@12/18/2021
+
 from queue import Queue
 from causallearn.graph.Edge import Edge
 from causallearn.graph.GraphNode import GraphNode
 from causallearn.utils.PCUtils.BackgroundKnowledge import BackgroundKnowledge
-from causallearn.utils.cit import fisherz
+from causallearn.utils.cit import fisherz, chisq, gsq
 from causallearn.utils.Fas import fas
 from causallearn.graph.Endpoint import Endpoint
 from causallearn.utils.ChoiceGenerator import ChoiceGenerator
+import numpy as np
 
 
 class SepsetsPossibleDsep():
@@ -187,7 +190,15 @@ def get_cond_set(self, node_1, node_2, max_path_length):
                 condSet = [self.graph.node_map[possParents[index]] for index in choice]
                 choice = cg.next()
 
-                p_value = self.independence_test(self.data, self.graph.node_map[node_1], self.graph.node_map[node_2], tuple(condSet))
+                X, Y = self.graph.node_map[node_1], self.graph.node_map[node_2]
+                X, Y = (X, Y) if (X < Y) else (Y, X)
+                XYS_key = (X, Y, frozenset(condSet))
+                if XYS_key in citest_cache:
+                    p_value = citest_cache[XYS_key]
+                else:
+                    p_value = self.independence_test(self.data, X, Y, tuple(condSet))
+                    citest_cache[XYS_key] = p_value
+
                 independent = p_value > self.alpha
 
                 if independent and noEdgeRequired:
@@ -427,13 +438,30 @@ def doDdpOrientation(node_d, node_a, node_b, node_c, previous, graph, data, inde
         raise Exception("illegal argument!")
     path = getPath(node_d, previous)
 
-    p_value = independence_test_method(data, graph.node_map[node_d], graph.node_map[node_c], tuple([graph.node_map[nn] for nn in path]))
+    X, Y = graph.node_map[node_d], graph.node_map[node_c]
+    X, Y = (X, Y) if (X < Y) else (Y, X)
+    condSet = tuple([graph.node_map[nn] for nn in path])
+    XYS_key = (X, Y, frozenset(condSet))
+    if XYS_key in citest_cache:
+        p_value = citest_cache[XYS_key]
+    else:
+        p_value = independence_test_method(data, X, Y, condSet)
+        citest_cache[XYS_key] = p_value
     ind = p_value > alpha
 
     path2 = list(path)
     path2.remove(node_b)
 
-    p_value2 = independence_test_method(data, graph.node_map[node_d], graph.node_map[node_c], tuple([graph.node_map[nn2] for nn2 in path2]))
+    X, Y = graph.node_map[node_d], graph.node_map[node_c]
+    X, Y = (X, Y) if (X < Y) else (Y, X)
+    condSet = tuple([graph.node_map[nn2] for nn2 in path2])
+    XYS_key = (X, Y, frozenset(condSet))
+    if XYS_key in citest_cache:
+        p_value2 = citest_cache[XYS_key]
+    else:
+        p_value2 = independence_test_method(data, X, Y, condSet)
+        citest_cache[XYS_key] = p_value2
+
     ind2 = p_value2 > alpha
 
     if not ind and not ind2:
@@ -571,6 +599,11 @@ def fci(dataset, independence_test_method = fisherz, alpha=0.05, depth=-1, max_p
     -------
     graph : Causal graph
     '''
+    def _unique(column):
+        return np.unique(column, return_inverse=True)[1]
+
+    if independence_test_method == chisq or independence_test_method == gsq:
+        dataset = np.apply_along_axis(_unique, 0, dataset).astype(np.int64)
 
 
     ## ------- check parameters ------------
diff --git a/causallearn/search/ConstraintBased/PC.py b/causallearn/search/ConstraintBased/PC.py
index 5f9829b2..ef635a25 100644
--- a/causallearn/search/ConstraintBased/PC.py
+++ b/causallearn/search/ConstraintBased/PC.py
@@ -11,16 +11,16 @@
 
 
 def pc(data, alpha, indep_test, stable, uc_rule, uc_priority, mvpc=False, correction_name='MV_Crtn_Fisher_Z',
-       background_knowledge=None):
+       background_knowledge=None, verbose=False):
     if mvpc:
         return mvpc_alg(data=data, alpha=alpha, indep_test=indep_test, correction_name=correction_name, stable=stable,
-                        uc_rule=uc_rule, uc_priority=uc_priority)
+                        uc_rule=uc_rule, uc_priority=uc_priority, verbose=verbose)
     else:
         return pc_alg(data=data, alpha=alpha, indep_test=indep_test, stable=stable, uc_rule=uc_rule,
-                      uc_priority=uc_priority, background_knowledge=background_knowledge)
+                      uc_priority=uc_priority, background_knowledge=background_knowledge, verbose=verbose)
 
 
-def pc_alg(data, alpha, indep_test, stable, uc_rule, uc_priority, background_knowledge=None):
+def pc_alg(data, alpha, indep_test, stable, uc_rule, uc_priority, background_knowledge=None, verbose=False):
     '''
     Perform Peter-Clark algorithm for causal discovery
 
@@ -56,7 +56,7 @@ def pc_alg(data, alpha, indep_test, stable, uc_rule, uc_priority, background_kno
 
     start = time.time()
     cg_1 = SkeletonDiscovery.skeleton_discovery(data, alpha, indep_test, stable,
-                                                background_knowledge=background_knowledge)
+                                                background_knowledge=background_knowledge, verbose=verbose)
 
     if background_knowledge is not None:
         orient_by_background_knowledge(cg_1, background_knowledge)
@@ -89,7 +89,7 @@ def pc_alg(data, alpha, indep_test, stable, uc_rule, uc_priority, background_kno
     return cg
 
 
-def mvpc_alg(data, alpha, indep_test, correction_name, stable, uc_rule, uc_priority):
+def mvpc_alg(data, alpha, indep_test, correction_name, stable, uc_rule, uc_priority, verbose):
     """
     :param data: data set (numpy ndarray)
     :param alpha: desired significance level (float) in (0, 1)
@@ -125,7 +125,7 @@ def mvpc_alg(data, alpha, indep_test, correction_name, stable, uc_rule, uc_prior
 
     ## Step 2:
     ## a) Run PC algorithm with the 1st step skeleton;
-    cg_pre = SkeletonDiscovery.skeleton_discovery(data, alpha, indep_test, stable)
+    cg_pre = SkeletonDiscovery.skeleton_discovery(data, alpha, indep_test, stable, verbose=verbose)
     cg_pre.to_nx_skeleton()
     # print('Finish skeleton search with test-wise deletion.')
 
diff --git a/causallearn/utils/Fas.py b/causallearn/utils/Fas.py
index 6f7d39a6..9e0ec1ac 100644
--- a/causallearn/utils/Fas.py
+++ b/causallearn/utils/Fas.py
@@ -4,6 +4,7 @@
 from causallearn.graph.Edges import Edges
 from causallearn.utils.ChoiceGenerator import ChoiceGenerator
 from copy import deepcopy
+from causallearn.search.ConstraintBased.FCI import citest_cache
 
 
 def possible_parents(node_x, adjx, knowledge=None):
@@ -47,7 +48,12 @@ def searchAtDepth0(data, nodes, adjacencies, sep_sets, independence_test_method=
             print(nodes[i + 1].get_name())
 
         for j in range(i+1, len(nodes)):
-            p_value = independence_test_method(data, i, j, tuple(empty))
+            ijS_key = (i, j, frozenset())
+            if ijS_key in citest_cache:
+                p_value = citest_cache[ijS_key]
+            else:
+                p_value = independence_test_method(data, i, j, tuple(empty))
+                citest_cache[ijS_key] = p_value
             independent = p_value > alpha
             no_edge_required = True if knowledge is None else \
                 ((not knowledge.is_required(nodes[i], nodes[j])) or knowledge.is_required(nodes[j], nodes[i]))
@@ -80,7 +86,15 @@ def edge(adjx, i, adjacencies_completed_edge):
                     cond_set = [nodes.index(ppx[index]) for index in choice]
                     choice = cg.next()
 
-                    p_value = independence_test_method(data, i, nodes.index(adjx[j]), tuple(cond_set))
+                    Y = nodes.index(adjx[j])
+                    X, Y = (i, Y) if (i < Y) else (Y, i)
+                    XYS_key = (X, Y, frozenset(cond_set))
+                    if XYS_key in citest_cache:
+                        p_value = citest_cache[XYS_key]
+                    else:
+                        p_value = independence_test_method(data, X, Y, tuple(cond_set))
+                        citest_cache[XYS_key] = p_value
+
                     independent = p_value > alpha
 
                     no_edge_required = True if knowledge is None else \
diff --git a/causallearn/utils/PCUtils/SkeletonDiscovery.py b/causallearn/utils/PCUtils/SkeletonDiscovery.py
index d69ce225..984d1a8e 100644
--- a/causallearn/utils/PCUtils/SkeletonDiscovery.py
+++ b/causallearn/utils/PCUtils/SkeletonDiscovery.py
@@ -4,9 +4,10 @@
 
 from causallearn.graph.GraphClass import CausalGraph
 from causallearn.utils.PCUtils.Helper import append_value
+from causallearn.utils.cit import chisq, gsq
 
 
-def skeleton_discovery(data, alpha, indep_test, stable=True, background_knowledge=None):
+def skeleton_discovery(data, alpha, indep_test, stable=True, background_knowledge=None, verbose=False):
     '''
     Perform skeleton discovery
 
@@ -31,8 +32,21 @@ def skeleton_discovery(data, alpha, indep_test, stable=True, background_knowledg
 
     no_of_var = data.shape[1]
     cg = CausalGraph(no_of_var)
-    cg.data = data
     cg.set_ind_test(indep_test)
+    if indep_test == chisq or indep_test == gsq:
+        # if dealing with discrete data, data is numpy.ndarray with n rows m columns,
+        # for each column, translate the discrete values to int indexs starting from 0,
+        #   e.g. [45, 45, 6, 7, 6, 7] -> [2, 2, 0, 1, 0, 1]
+        #        ['apple', 'apple', 'pear', 'peach', 'pear'] -> [0, 0, 2, 1, 2]
+        # in old code, its presumed that discrete `data` is already indexed,
+        # but here we make sure it's in indexed form, so allow more user input e.g. 'apple' ..
+        def _unique(column):
+            return np.unique(column, return_inverse=True)[1]
+        cg.is_discrete = True
+        cg.data = np.apply_along_axis(_unique, 0, data).astype(np.int64)
+        cg.cardinalities = np.max(cg.data, axis=0) + 1
+    else:
+        cg.data = data
 
     depth = -1
     while cg.max_degree() - 1 > depth:
@@ -48,7 +62,7 @@ def skeleton_discovery(data, alpha, indep_test, stable=True, background_knowledg
                     if background_knowledge is not None and (
                             background_knowledge.is_forbidden(cg.G.nodes[x], cg.G.nodes[y])
                             and background_knowledge.is_forbidden(cg.G.nodes[y], cg.G.nodes[x])):
-                        print('%d ind %d | %s with background background_knowledge\n' % (x, y, S))
+                        if verbose: print('%d ind %d | %s with background background_knowledge\n' % (x, y, S))
                         if not stable:
                             edge1 = cg.G.get_edge(cg.G.nodes[x], cg.G.nodes[y])
                             if edge1 is not None:
@@ -65,7 +79,7 @@ def skeleton_discovery(data, alpha, indep_test, stable=True, background_knowledg
                     else:
                         p = cg.ci_test(x, y, S)
                         if p > alpha:
-                            print('%d ind %d | %s with p-value %f\n' % (x, y, S, p))
+                            if verbose: print('%d ind %d | %s with p-value %f\n' % (x, y, S, p))
                             if not stable:
                                 edge1 = cg.G.get_edge(cg.G.nodes[x], cg.G.nodes[y])
                                 if edge1 is not None:
@@ -80,7 +94,7 @@ def skeleton_discovery(data, alpha, indep_test, stable=True, background_knowledg
                                 append_value(cg.sepset, y, x, S)
                             break
                         else:
-                            print('%d dep %d | %s with p-value %f\n' % (x, y, S, p))
+                            if verbose: print('%d dep %d | %s with p-value %f\n' % (x, y, S, p))
 
         for (x, y) in list(set(edge_removal)):
             edge1 = cg.G.get_edge(cg.G.nodes[x], cg.G.nodes[y])
diff --git a/causallearn/utils/cit.py b/causallearn/utils/cit.py
index bcc66d0a..63f05763 100644
--- a/causallearn/utils/cit.py
+++ b/causallearn/utils/cit.py
@@ -176,15 +176,126 @@ def fisherz(data, X, Y, condition_set, correlation_matrix=None):
     return p
 
 
-def chisq(data, X, Y, conditioning_set):
-    return chisq_or_gsq_test(data=data, X=X, Y=Y, conditioning_set=conditioning_set)
+def chisq(data, X, Y, conditioning_set, cardinalities=None):
+    # though cardinalities can be computed from data, here we pass it as argument,
+    # to prevent from repeated computation on each variable's vardinality
+    if cardinalities is None: cardinalities = np.max(data, axis=0) + 1
+    indexs = list(conditioning_set) + [X, Y]
+    return chisq_or_gsq_test(data[:, indexs].T, cardinalities[indexs])
+
+def gsq(data, X, Y, conditioning_set, cardinalities=None):
+    indexs = list(conditioning_set) + [X, Y]
+    return chisq_or_gsq_test(data[:, indexs].T, cardinalities[indexs], G_sq=True)
+
+def chisq_or_gsq_test(dataSXY, cardSXY, G_sq=False):
+    '''by Haoyue@12/18/2021
+    Parameters
+    ----------
+    dataSXY: numpy.ndarray, in shape (|S|+2, n), where |S| is size of conditioning set (can be 0), n is sample size
+             dataSXY.dtype = np.int64, and each row has values [0, 1, 2, ..., card_of_this_row-1]
+    cardSXY: cardinalities of each row (each variable)
+    G_sq: True if use G-sq, otherwise (False by default), use Chi_sq
+    '''
+    def _Fill2DCountTable(dataXY, cardXY):
+        '''
+        e.g. dataXY: the observed dataset contains 5 samples, on variable x and y they're
+            x: 0 1 2 3 0
+            y: 1 0 1 2 1
+        cardXY: [4, 3]
+        fill in the counts by index, we have the joint count table in 4 * 3:
+            xy| 0 1 2
+            --|-------
+            0 | 0 2 0
+            1 | 1 0 0
+            2 | 0 1 0
+            3 | 0 0 1
+        note: if sample size is large enough, in theory:
+                min(dataXY[i]) == 0 && max(dataXY[i]) == cardXY[i] - 1
+            however some values may be missed.
+            also in joint count, not every value in [0, cardX * cardY - 1] occurs.
+            that's why we pass cardinalities in, and use `minlength=...` in bincount
+        '''
+        cardX, cardY = cardXY
+        xyIndexed = dataXY[0] * cardY + dataXY[1]
+        xyJointCounts = np.bincount(xyIndexed, minlength=cardX*cardY).reshape(cardXY)
+        xMarginalCounts = np.sum(xyJointCounts, axis=1)
+        yMarginalCounts = np.sum(xyJointCounts, axis=0)
+        return xyJointCounts, xMarginalCounts, yMarginalCounts
+
+    def _Fill3DCountTable(dataSXY, cardSXY):
+        cardX, cardY = cardSXY[-2:]
+        cardS = np.prod(cardSXY[:-2])
+
+        cardCumProd = np.ones_like(cardSXY)
+        cardCumProd[:-1] = np.cumprod(cardSXY[1:][::-1])[::-1]
+        SxyIndexed = np.dot(cardCumProd[None], dataSXY)[0]
+
+        SxyJointCounts = np.bincount(SxyIndexed, minlength=cardS*cardX*cardY).reshape((cardS, cardX, cardY))
+
+        SMarginalCounts = np.sum(SxyJointCounts, axis=(1, 2))
+        SMarginalCountsNonZero = SMarginalCounts != 0
+        SMarginalCounts = SMarginalCounts[SMarginalCountsNonZero]
+        SxyJointCounts = SxyJointCounts[SMarginalCountsNonZero]
+
+        SxJointCounts = np.sum(SxyJointCounts, axis=2)
+        SyJointCounts = np.sum(SxyJointCounts, axis=1)
+        return SxyJointCounts, SMarginalCounts, SxJointCounts, SyJointCounts
+
+    def _CalculatePValue(cTables, eTables):
+        '''
+        calculate the rareness (pValue) of an observation from a given distribution with certain sample size.
+
+        Let k, m, n be respectively the cardinality of S, x, y. if S=empty, k==1.
+        Parameters
+        ----------
+        cTables: tensor, (k, m, n) the [c]ounted tables (reflect joint P_XY)
+        eTables: tensor, (k, m, n) the [e]xpected tables (reflect product of marginal P_X*P_Y)
+          if there are zero entires in eTables, zero must occur in whole rows or columns.
+          e.g. w.l.o.g., row eTables[w, i, :] == 0, iff np.sum(cTables[w], axis=1)[i] == 0, i.e. cTables[w, i, :] == 0,
+               i.e. in configuration of conditioning set == w, no X can be in value i.
+
+        Returns: pValue (float in range (0, 1)), the larger pValue is (>alpha), the more independent.
+        -------
+        '''
+        eTables_zero_inds = eTables == 0
+        eTables_zero_to_one = np.copy(eTables)
+        eTables_zero_to_one[eTables_zero_inds] = 1 # for legal division
+
+        if G_sq == False:
+            sum_of_chi_square = np.sum(((cTables - eTables) ** 2) / eTables_zero_to_one)
+        else:
+            div = np.divide(cTables, eTables_zero_to_one)
+            div[div == 0] = 1  # It guarantees that taking natural log in the next step won't cause any error
+            sum_of_chi_square = 2 * np.sum(cTables * np.log(div))
+
+        # array in shape (k,), zero_counts_rows[w]=c (0<=c<m) means layer w has c all-zero rows
+        zero_counts_rows = eTables_zero_inds.all(axis=2).sum(axis=1)
+        zero_counts_cols = eTables_zero_inds.all(axis=1).sum(axis=1)
+        sum_of_df = np.sum((cTables.shape[1] - 1 - zero_counts_rows) * (cTables.shape[2] - 1 - zero_counts_cols))
+        return 1 if sum_of_df == 0 else chi2.sf(sum_of_chi_square, sum_of_df)
 
+    if len(cardSXY) == 2: # S is empty
+        xyJointCounts, xMarginalCounts, yMarginalCounts = _Fill2DCountTable(dataSXY, cardSXY)
+        xyExpectedCounts = np.outer(xMarginalCounts, yMarginalCounts) / dataSXY.shape[1] # divide by sample size
+        return _CalculatePValue(xyJointCounts[None], xyExpectedCounts[None])
+    # else, S is not empty: conditioning
+    SxyJointCounts, SMarginalCounts, SxJointCounts, SyJointCounts = _Fill3DCountTable(dataSXY, cardSXY)
+    SxyExpectedCounts = SxJointCounts[:, :, None] * SyJointCounts[:, None, :] / SMarginalCounts[:, None, None]
 
-def gsq(data, X, Y, conditioning_set):
-    return chisq_or_gsq_test(data=data, X=X, Y=Y, conditioning_set=conditioning_set, G_sq=True)
+    return _CalculatePValue(SxyJointCounts, SxyExpectedCounts)
 
 
-def chisq_or_gsq_test(data, X, Y, conditioning_set, G_sq=False):
+######## below we save the original test (which is slower but easier-to-read) ###########
+######## logic of new test is exactly the same as old, so returns exactly same result ###
+def chisq_notoptimized(data, X, Y, conditioning_set):
+    return chisq_or_gsq_test_notoptimized(data=data, X=X, Y=Y, conditioning_set=conditioning_set)
+
+
+def gsq_notoptimized(data, X, Y, conditioning_set):
+    return chisq_or_gsq_test_notoptimized(data=data, X=X, Y=Y, conditioning_set=conditioning_set, G_sq=True)
+
+
+def chisq_or_gsq_test_notoptimized(data, X, Y, conditioning_set, G_sq=False):
     '''
     Perform an independence test using chi-square test or G-square test
 
@@ -230,6 +341,14 @@ def recursive_and(L):
         sub_data = recursive_and(L)[:, [X,
                                         Y]]  # obtain the subset dataset (containing only the X, Y columns) with only rows specifed in value_config
 
+        ############# Haoyue@12/18/2021  DEBUG: this line is a must:  #####################
+        ########### not all value_config in cartesian product occurs in data ##############
+        # e.g. S=(S0,S1), where S0 has categories {0,1}, S1 has {2,3}. But in combination,#
+        ##### (S0,S1) only shows up with value pair (0,2), (0,3), (1,2) -> no (1,3). ######
+        ########### otherwise #degree_of_freedom will add a spurious 1: (0-1)*(0-1) #######
+        if len(sub_data) == 0: continue   #################################################
+        ###################################################################################
+
         # Step 2: Generate contingency table (applying Fienberg's method)
         def make_ctable(D, cat_size):
             x = np.array(D[:, 0], dtype=np.dtype(int))
@@ -242,6 +361,7 @@ def make_ctable(D, cat_size):
             ctable = bin_count.reshape(cat_size, cat_size)
             ctable = ctable[~np.all(ctable == 0, axis=1)]  # Remove rows consisted entirely of zeros
             ctable = ctable[:, ~np.all(ctable == 0, axis=0)]  # Remove columns consisted entirely of zeros
+
             return ctable
 
         ctable = make_ctable(sub_data, max_categories)
@@ -276,6 +396,7 @@ def cartesian_product(lists):
     return result
 
 
+
 def get_index_mv_rows(mvdata):
     nrow, ncol = np.shape(mvdata)
     bindxRows = np.ones((nrow,), dtype=bool)
diff --git a/tests/TestData/bnlearn_discrete_10000/alarm.txt b/tests/TestData/bnlearn_discrete_10000/alarm.txt
new file mode 100644
index 00000000..25cd8c63
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/alarm.txt
@@ -0,0 +1,10001 @@
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diff --git a/tests/TestData/bnlearn_discrete_10000/andes.txt b/tests/TestData/bnlearn_discrete_10000/andes.txt
new file mode 100644
index 00000000..3a378def
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/andes.txt
@@ -0,0 +1,10001 @@
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diff --git a/tests/TestData/bnlearn_discrete_10000/asia.txt b/tests/TestData/bnlearn_discrete_10000/asia.txt
new file mode 100644
index 00000000..9afb4bf3
--- /dev/null
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diff --git a/tests/TestData/bnlearn_discrete_10000/barley.txt b/tests/TestData/bnlearn_discrete_10000/barley.txt
new file mode 100644
index 00000000..1799c1bd
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/barley.txt
@@ -0,0 +1,10001 @@
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diff --git a/tests/TestData/bnlearn_discrete_10000/cancer.txt b/tests/TestData/bnlearn_discrete_10000/cancer.txt
new file mode 100644
index 00000000..3151170f
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/cancer.txt
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diff --git a/tests/TestData/bnlearn_discrete_10000/child.txt b/tests/TestData/bnlearn_discrete_10000/child.txt
new file mode 100644
index 00000000..4c865e8e
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/child.txt
@@ -0,0 +1,10001 @@
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diff --git a/tests/TestData/bnlearn_discrete_10000/earthquake.txt b/tests/TestData/bnlearn_discrete_10000/earthquake.txt
new file mode 100644
index 00000000..6b353ab2
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/earthquake.txt
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diff --git a/tests/TestData/bnlearn_discrete_10000/hailfinder.txt b/tests/TestData/bnlearn_discrete_10000/hailfinder.txt
new file mode 100644
index 00000000..53945b95
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/hailfinder.txt
@@ -0,0 +1,10001 @@
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diff --git a/tests/TestData/bnlearn_discrete_10000/hepar2.txt b/tests/TestData/bnlearn_discrete_10000/hepar2.txt
new file mode 100644
index 00000000..822abd5d
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/hepar2.txt
@@ -0,0 +1,10001 @@
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diff --git a/tests/TestData/bnlearn_discrete_10000/sachs.txt b/tests/TestData/bnlearn_discrete_10000/sachs.txt
new file mode 100644
index 00000000..cabe6b3e
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/sachs.txt
@@ -0,0 +1,10001 @@
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diff --git a/tests/TestData/bnlearn_discrete_10000/survey.txt b/tests/TestData/bnlearn_discrete_10000/survey.txt
new file mode 100644
index 00000000..d7871c84
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/survey.txt
@@ -0,0 +1,10001 @@
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diff --git a/tests/TestData/bnlearn_discrete_10000/water.txt b/tests/TestData/bnlearn_discrete_10000/water.txt
new file mode 100644
index 00000000..2ac5cae0
--- /dev/null
+++ b/tests/TestData/bnlearn_discrete_10000/water.txt
@@ -0,0 +1,10001 @@
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diff --git a/tests/TestData/bnlearn_discrete_10000/win95pts.txt b/tests/TestData/bnlearn_discrete_10000/win95pts.txt
new file mode 100644
index 00000000..6f8ddb24
--- /dev/null
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+1 1 1 1 2 2 1 2 2 2 2 2 1 2 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 1 2 1 2 2 1 1 1 1 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1
+1 1 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 1 1 1 2 2 2 2 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1
+1 1 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1
+1 1 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 2 1 2 2 2 2 2 1 2 2 1 1 2 1 2 2 1 1 1 2 1 2 1 1 1 2 2 2 2 1 2 1 1 2 2 2 2 1 1 2 1 2 1 1 1 2 2 1 1 2 1 1 2 2 1 1
+1 1 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 1 2 1 2 2 1 1 1 1 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1
+1 1 1 1 2 2 1 2 2 2 2 2 1 2 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 1 2 1 2 2 1 1 1 1 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1
+1 1 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 2 1 2 2 2 1 1 2 2 2 1 1 2 1 2 2 1 1 1 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1
+1 1 1 2 2 1 1 1 2 2 1 1 1 1 1 2 1 1 1 1 1 1 2 2 2 1 2 1 2 2 1 1 2 1 1 1 1 1 1 1 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 2
+1 1 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 2 1 2 1 1 2 2 2 2 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 1 2 2 2 1 2 1 1 1 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1
+1 1 1 1 1 2 1 1 2 2 2 2 1 2 2 2 2 1 1 2 2 1 2 2 2 2 1 2 2 2 1 1 2 1 2 2 1 1 1 1 1 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 2 2 1 2 2 1 1 2 2 1 1
+1 1 1 1 2 2 1 1 1 2 2 2 1 2 1 2 1 1 1 2 2 2 2 2 1 2 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 2 2 1 1 2 2 2 2 2 2 2 2 2 2 1 2 2 1 2 1 2 1 2 2 1 2 2 2 2 1 1 2 2 1 1
+1 1 1 1 2 2 1 1 2 2 2 2 1 2 2 2 2 1 1 1 1 1 2 2 2 2 1 1 2 2 1 1 2 1 2 2 1 1 1 1 1 2 2 1 1 2 1 2 2 1 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 1 2 1 2 2 1 1 2 2 1 1
+1 1 1 1 2 2 1 1 1 2 2 2 1 2 1 2 1 1 1 2 2 1 2 2 2 2 1 2 2 1 1 2 2 1 1 1 1 1 1 1 1 2 2 1 1 2 1 2 2 2 2 2 2 2 2 1 1 2 1 2 1 2 1 2 2 2 2 2 2 2 1 1 2 2 1 1
+1 1 1 1 2 2 1 2 2 2 2 2 1 2 2 2 2 1 1 1 1 1 2 2 2 2 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 2 1 2 1 1 2 2 1 1 2 2 1 1 2 2 1 1
diff --git a/tests/TestFCI.py b/tests/TestFCI.py
index dd4f1c6c..b1e915bc 100644
--- a/tests/TestFCI.py
+++ b/tests/TestFCI.py
@@ -1,4 +1,6 @@
 import sys
+import time
+import os
 
 sys.path.append("")
 import pandas as pd
@@ -6,7 +8,7 @@
 import numpy as np
 from causallearn.utils.PCUtils.BackgroundKnowledge import BackgroundKnowledge
 from causallearn.search.ConstraintBased.FCI import fci
-from causallearn.utils.cit import fisherz, kci
+from causallearn.utils.cit import fisherz, kci, chisq
 from causallearn.utils.GraphUtils import GraphUtils
 
 
@@ -75,3 +77,28 @@ def test_fritl(self):
         pgv_g = GraphUtils.to_pgv(G)
         pgv_g.draw('fritl.png', prog='dot', format='png')
         print(G)
+
+    def test_bnlearn_discrete_datasets(self):
+        benchmark_names = [
+            "asia", "cancer", "earthquake", "sachs", "survey",
+            "alarm", "barley", "child", "insurance", "water",
+            "hailfinder", "hepar2", "win95pts",
+            "andes"
+        ]
+
+        bnlearn_path = './TestData/bnlearn_discrete_10000'
+        for bname in benchmark_names:
+            data = np.loadtxt(os.path.join(bnlearn_path, f'{bname}.txt'), skiprows=1)
+            start = time.time()
+            G = fci(data, chisq, 0.05, verbose=False)
+            end = time.time()
+            print(f'{bname}, used {end - start:.5f}s\n\n\n')
+
+    def test_large_continuous_dataset(self):
+        data = np.loadtxt('./data_linear_10.txt', skiprows=1)
+        start = time.time()
+        G = fci(data, fisherz, 0.05, verbose=False)
+        end = time.time()
+        print(f'./data_linear_10, used {end - start:.5f}s\n\n\n')
+
+
diff --git a/tests/TestPC.py b/tests/TestPC.py
index d386a263..b2c2b159 100644
--- a/tests/TestPC.py
+++ b/tests/TestPC.py
@@ -200,4 +200,48 @@ def test_pc_with_kci(self):
         # cg.to_nx_graph()
         # cg.draw_nx_graph(skel=False)
 
-        print('finish')
\ No newline at end of file
+        print('finish')
+
+    # example13
+    def test_new_old_gsq_chisq_equivalent(self):
+        from causallearn.utils.cit import gsq_notoptimized, chisq_notoptimized
+        from itertools import chain, combinations
+        def powerset(iterable):
+            return chain.from_iterable(combinations(list(iterable), r) for r in range(len(iterable) + 1))
+        def _unique(column):
+            return np.unique(column, return_inverse=True)[1]
+
+        data_path = "data_discrete_10.txt"
+        data = np.loadtxt(data_path, skiprows=1)
+        data = np.apply_along_axis(_unique, 0, data).astype(np.int32)
+        cardinalities = np.max(data, axis=0) + 1
+
+        for X in range(data.shape[1]):
+            for Y in range(X + 1, data.shape[1]):
+                for S in powerset([_ for _ in range(data.shape[1]) if _ != X and _ != Y]):
+                    assert np.isclose(gsq(data, X, Y, S, cardinalities), gsq_notoptimized(data, X, Y, S))
+                    assert np.isclose(chisq(data, X, Y, S, cardinalities), chisq_notoptimized(data, X, Y, S))
+                    print(f'{X};{Y}|{S} passed')
+
+    # example14
+    def test_bnlearn_discrete_datasets(self):
+        import os
+        benchmark_names = [
+            "asia", "cancer", "earthquake", "sachs", "survey",
+            "alarm", "barley", "child", "insurance", "water",
+            "hailfinder", "hepar2", "win95pts",
+            "andes",
+        ]
+
+        bnlearn_path = './TestData/bnlearn_discrete_10000'
+        for bname in benchmark_names:
+            data = np.loadtxt(os.path.join(bnlearn_path, f'{bname}.txt'), skiprows=1)
+            cg = pc(data, 0.05, chisq, True, 0, -1)  # Run PC and obtain the estimated graph (CausalGraph object)
+            print(f'{bname}: used {cg.PC_elapsed:.5f}s')
+            # visualization using pydot
+            cg.draw_pydot_graph()
+
+            # visualization using networkx
+            # cg.to_nx_graph()
+            # cg.draw_nx_graph(skel=False)
+