xzj7019 commented on code in PR #40878:
URL: https://github.com/apache/doris/pull/40878#discussion_r1777109992


##########
fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/ReplacePredicate.java:
##########
@@ -0,0 +1,321 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+
+package org.apache.doris.nereids.rules.rewrite;
+
+import org.apache.doris.common.Pair;
+import org.apache.doris.nereids.CascadesContext;
+import org.apache.doris.nereids.analyzer.Scope;
+import org.apache.doris.nereids.exceptions.AnalysisException;
+import org.apache.doris.nereids.rules.analysis.ExpressionAnalyzer;
+import org.apache.doris.nereids.rules.expression.ExpressionRewriteContext;
+import org.apache.doris.nereids.trees.expressions.Cast;
+import org.apache.doris.nereids.trees.expressions.ComparisonPredicate;
+import org.apache.doris.nereids.trees.expressions.EqualTo;
+import org.apache.doris.nereids.trees.expressions.Expression;
+import org.apache.doris.nereids.trees.expressions.InPredicate;
+import org.apache.doris.nereids.trees.expressions.Like;
+import org.apache.doris.nereids.trees.expressions.Not;
+import org.apache.doris.nereids.trees.expressions.Or;
+import org.apache.doris.nereids.trees.expressions.Slot;
+import org.apache.doris.nereids.trees.expressions.functions.ExpressionTrait;
+import org.apache.doris.nereids.trees.expressions.literal.Literal;
+import 
org.apache.doris.nereids.trees.expressions.visitor.DefaultExpressionRewriter;
+import org.apache.doris.nereids.trees.expressions.visitor.ExpressionVisitor;
+import org.apache.doris.nereids.trees.plans.Plan;
+import org.apache.doris.nereids.types.DecimalV2Type;
+import org.apache.doris.nereids.types.DecimalV3Type;
+import org.apache.doris.nereids.util.ImmutableEqualSet;
+import org.apache.doris.nereids.util.PredicateInferUtils;
+import org.apache.doris.nereids.util.TypeCoercionUtils;
+
+import com.google.common.collect.ImmutableList;
+import org.jetbrains.annotations.Nullable;
+
+import java.util.ArrayList;
+import java.util.Comparator;
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.LinkedHashSet;
+import java.util.List;
+import java.util.Map;
+import java.util.Set;
+import java.util.stream.Collectors;
+
+/**ReplacePredicate*/
+public class ReplacePredicate {
+    private static List<Expression> getAllSubExpressions(Expression expr) {
+        List<Expression> subExpressions = new ArrayList<>();
+        getAllSubExpressions(expr, subExpressions);
+        return subExpressions;
+    }
+
+    private static void getAllSubExpressions(Expression expr, List<Expression> 
res) {
+        res.add(expr);
+        if (expr.children().size() != 1) {
+            Set<Slot> slots = expr.getInputSlots();
+            if (slots.size() == 1) {
+                res.add(slots.iterator().next());
+            }
+            return;
+        }
+        getAllSubExpressions(expr.child(0), res);
+    }
+
+    /** fill map exprPredicates : expression and all its corresponding 
predicates */
+    private static class PredicatesCollector extends ExpressionVisitor<Void, 
Map<Expression, Set<Expression>>> {
+        public static PredicatesCollector INSTANCE = new PredicatesCollector();
+
+        @Override
+        public Void visit(Expression expr, Map<Expression, Set<Expression>> 
context) {
+            return null;
+        }
+
+        @Override
+        public Void visitOr(Or expr, Map<Expression, Set<Expression>> context) 
{
+            return null;
+        }
+
+        @Override
+        public Void visitInPredicate(InPredicate inPredicate, Map<Expression, 
Set<Expression>> context) {
+            if (!validInPredicate(inPredicate)) {
+                return null;
+            }
+            for (Expression expr : 
getAllSubExpressions(inPredicate.getCompareExpr())) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(inPredicate);
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitComparisonPredicate(ComparisonPredicate 
comparisonPredicate,
+                Map<Expression, Set<Expression>> context) {
+            if (!validComparisonPredicate(comparisonPredicate)) {
+                return null;
+            }
+            // It is believed that 1<a has been rewritten as a>1
+            for (Expression expr : 
getAllSubExpressions(comparisonPredicate.child(0))) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(comparisonPredicate);
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitNot(Not not, Map<Expression, Set<Expression>> 
context) {
+            if (not.child(0) instanceof InPredicate && 
validInPredicate((InPredicate) not.child(0))
+                    || not.child(0) instanceof ComparisonPredicate
+                    && validComparisonPredicate((ComparisonPredicate) 
not.child(0))) {
+                for (Expression expr : 
getAllSubExpressions(not.child(0).child(0))) {
+                    context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(not);
+                }
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitLike(Like like, Map<Expression, Set<Expression>> 
context) {
+            if (!(like.child(1) instanceof Literal)) {
+                return null;
+            }
+            for (Expression expr : getAllSubExpressions(like.child(0))) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(like);
+            }
+            return null;
+        }
+
+        private boolean validComparisonPredicate(ComparisonPredicate 
comparisonPredicate) {
+            return comparisonPredicate.right() instanceof Literal;
+        }
+
+        private boolean validInPredicate(InPredicate inPredicate) {
+            return inPredicate.isLiteralChildren();
+        }
+    }
+
+    /* replaceToThis: find all predicates that replaceToThis can deduce (e.g. 
replaceToThis = b)
+     equalSet: the equivalent set of replaceToThis (e.g. equalSet: a=b)
+     exprPredicates: expression and all its corresponding predicates (e.g. 
such as {a: [a<10, a>1], b: [b in (1, 2)]})
+     return: all predicates that replaceToThis can deduce (return b<10, b>1) */
+    private static <T extends Expression> Set<Expression> 
getEqualSetAndDoReplace(T replaceToThis, Set<T> equalSet,
+            Map<? extends Expression, Set<Expression>> exprPredicates) {
+        ExpressionAnalyzer analyzer = new ReplaceAnalyzer(null, new 
Scope(ImmutableList.of()), null, false, false);
+        Set<Expression> res = new LinkedHashSet<>();
+        for (T equals : equalSet) {
+            Map<Expression, Expression> replaceMap = new HashMap<>();
+            replaceMap.put(equals, replaceToThis);
+            if (!exprPredicates.containsKey(equals)) {
+                continue;
+            }
+            for (Expression predicate : exprPredicates.get(equals)) {
+                Expression newPredicates = 
Replacer.INSTANCE.replace(predicate, replaceMap);
+                try {
+                    Expression analyzed = analyzer.analyze(newPredicates);
+                    res.add(analyzed.withInferred(true));
+                } catch (Exception e) {
+                    // has cast error, just not infer and do nothing
+                    continue;
+                }
+            }
+        }
+        return res;
+    }
+
+    /* Extract the equivalence relationship a=b, and when case (d_tinyint as 
int)=d_int is encountered,
+    remove the cast and extract d_tinyint=d_int
+    EqualPairs is the output parameter and the equivalent pair of predicate 
derivation input,
+    which is used to ensure that the derivation
+    does not generate repeated equivalent conditions, such as a=b and b=a */
+    private static ImmutableEqualSet<Slot> findEqual(Set<Expression> inputs, 
Set<Pair<Slot, Slot>> equalPairs) {
+        ImmutableEqualSet.Builder<Slot> fromCastEqualSetBuilder = new 
ImmutableEqualSet.Builder<>();
+        for (Expression input : inputs) {
+            if (!(input instanceof EqualTo)) {
+                continue;
+            }
+            EqualTo equalTo = (EqualTo) input;
+            Set<Slot> leftInputSlots = equalTo.left().getInputSlots();
+            Set<Slot> rightInputSlots = equalTo.right().getInputSlots();
+            // not support a=1 b=1 -> a=b, because Sometimes there are cases 
where the predicates a=1 and a=2
+            // are not eliminated in time. After being pulled up, it is wrong 
to deduce a=b with b=1.
+            if (leftInputSlots.isEmpty() || rightInputSlots.isEmpty()) {
+                continue;
+            }
+            PredicateInferUtils.getPairFromCast((ComparisonPredicate) input)
+                    .filter(pair -> pair.first instanceof Slot && pair.second 
instanceof Slot)
+                    .ifPresent(pair -> {
+                        Slot left = (Slot) pair.first;
+                        Slot right = (Slot) pair.second;
+                        fromCastEqualSetBuilder.addEqualPair(left, right);
+                        equalPairs.add(left.getExprId().asInt() <= 
right.getExprId().asInt()
+                                ? Pair.of(left, right) : Pair.of(right, left));
+                    });
+        }
+        return fromCastEqualSetBuilder.build();
+    }
+
+    /** This is the exposed interface. Inputs are the input predicates for 
derivation.

Review Comment:
   same as the deduceTransitiveEquality



##########
fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/ReplacePredicate.java:
##########
@@ -0,0 +1,321 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+
+package org.apache.doris.nereids.rules.rewrite;
+
+import org.apache.doris.common.Pair;
+import org.apache.doris.nereids.CascadesContext;
+import org.apache.doris.nereids.analyzer.Scope;
+import org.apache.doris.nereids.exceptions.AnalysisException;
+import org.apache.doris.nereids.rules.analysis.ExpressionAnalyzer;
+import org.apache.doris.nereids.rules.expression.ExpressionRewriteContext;
+import org.apache.doris.nereids.trees.expressions.Cast;
+import org.apache.doris.nereids.trees.expressions.ComparisonPredicate;
+import org.apache.doris.nereids.trees.expressions.EqualTo;
+import org.apache.doris.nereids.trees.expressions.Expression;
+import org.apache.doris.nereids.trees.expressions.InPredicate;
+import org.apache.doris.nereids.trees.expressions.Like;
+import org.apache.doris.nereids.trees.expressions.Not;
+import org.apache.doris.nereids.trees.expressions.Or;
+import org.apache.doris.nereids.trees.expressions.Slot;
+import org.apache.doris.nereids.trees.expressions.functions.ExpressionTrait;
+import org.apache.doris.nereids.trees.expressions.literal.Literal;
+import 
org.apache.doris.nereids.trees.expressions.visitor.DefaultExpressionRewriter;
+import org.apache.doris.nereids.trees.expressions.visitor.ExpressionVisitor;
+import org.apache.doris.nereids.trees.plans.Plan;
+import org.apache.doris.nereids.types.DecimalV2Type;
+import org.apache.doris.nereids.types.DecimalV3Type;
+import org.apache.doris.nereids.util.ImmutableEqualSet;
+import org.apache.doris.nereids.util.PredicateInferUtils;
+import org.apache.doris.nereids.util.TypeCoercionUtils;
+
+import com.google.common.collect.ImmutableList;
+import org.jetbrains.annotations.Nullable;
+
+import java.util.ArrayList;
+import java.util.Comparator;
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.LinkedHashSet;
+import java.util.List;
+import java.util.Map;
+import java.util.Set;
+import java.util.stream.Collectors;
+
+/**ReplacePredicate*/
+public class ReplacePredicate {
+    private static List<Expression> getAllSubExpressions(Expression expr) {
+        List<Expression> subExpressions = new ArrayList<>();
+        getAllSubExpressions(expr, subExpressions);
+        return subExpressions;
+    }
+
+    private static void getAllSubExpressions(Expression expr, List<Expression> 
res) {
+        res.add(expr);
+        if (expr.children().size() != 1) {
+            Set<Slot> slots = expr.getInputSlots();
+            if (slots.size() == 1) {
+                res.add(slots.iterator().next());
+            }
+            return;
+        }
+        getAllSubExpressions(expr.child(0), res);
+    }
+
+    /** fill map exprPredicates : expression and all its corresponding 
predicates */
+    private static class PredicatesCollector extends ExpressionVisitor<Void, 
Map<Expression, Set<Expression>>> {
+        public static PredicatesCollector INSTANCE = new PredicatesCollector();
+
+        @Override
+        public Void visit(Expression expr, Map<Expression, Set<Expression>> 
context) {
+            return null;
+        }
+
+        @Override
+        public Void visitOr(Or expr, Map<Expression, Set<Expression>> context) 
{
+            return null;
+        }
+
+        @Override
+        public Void visitInPredicate(InPredicate inPredicate, Map<Expression, 
Set<Expression>> context) {
+            if (!validInPredicate(inPredicate)) {
+                return null;
+            }
+            for (Expression expr : 
getAllSubExpressions(inPredicate.getCompareExpr())) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(inPredicate);
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitComparisonPredicate(ComparisonPredicate 
comparisonPredicate,
+                Map<Expression, Set<Expression>> context) {
+            if (!validComparisonPredicate(comparisonPredicate)) {
+                return null;
+            }
+            // It is believed that 1<a has been rewritten as a>1
+            for (Expression expr : 
getAllSubExpressions(comparisonPredicate.child(0))) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(comparisonPredicate);
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitNot(Not not, Map<Expression, Set<Expression>> 
context) {
+            if (not.child(0) instanceof InPredicate && 
validInPredicate((InPredicate) not.child(0))
+                    || not.child(0) instanceof ComparisonPredicate
+                    && validComparisonPredicate((ComparisonPredicate) 
not.child(0))) {
+                for (Expression expr : 
getAllSubExpressions(not.child(0).child(0))) {
+                    context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(not);
+                }
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitLike(Like like, Map<Expression, Set<Expression>> 
context) {
+            if (!(like.child(1) instanceof Literal)) {
+                return null;
+            }
+            for (Expression expr : getAllSubExpressions(like.child(0))) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(like);
+            }
+            return null;
+        }
+
+        private boolean validComparisonPredicate(ComparisonPredicate 
comparisonPredicate) {
+            return comparisonPredicate.right() instanceof Literal;
+        }
+
+        private boolean validInPredicate(InPredicate inPredicate) {
+            return inPredicate.isLiteralChildren();
+        }
+    }
+
+    /* replaceToThis: find all predicates that replaceToThis can deduce (e.g. 
replaceToThis = b)
+     equalSet: the equivalent set of replaceToThis (e.g. equalSet: a=b)
+     exprPredicates: expression and all its corresponding predicates (e.g. 
such as {a: [a<10, a>1], b: [b in (1, 2)]})
+     return: all predicates that replaceToThis can deduce (return b<10, b>1) */
+    private static <T extends Expression> Set<Expression> 
getEqualSetAndDoReplace(T replaceToThis, Set<T> equalSet,
+            Map<? extends Expression, Set<Expression>> exprPredicates) {
+        ExpressionAnalyzer analyzer = new ReplaceAnalyzer(null, new 
Scope(ImmutableList.of()), null, false, false);
+        Set<Expression> res = new LinkedHashSet<>();
+        for (T equals : equalSet) {
+            Map<Expression, Expression> replaceMap = new HashMap<>();
+            replaceMap.put(equals, replaceToThis);
+            if (!exprPredicates.containsKey(equals)) {
+                continue;
+            }
+            for (Expression predicate : exprPredicates.get(equals)) {
+                Expression newPredicates = 
Replacer.INSTANCE.replace(predicate, replaceMap);
+                try {
+                    Expression analyzed = analyzer.analyze(newPredicates);
+                    res.add(analyzed.withInferred(true));
+                } catch (Exception e) {
+                    // has cast error, just not infer and do nothing
+                    continue;
+                }
+            }
+        }
+        return res;
+    }
+
+    /* Extract the equivalence relationship a=b, and when case (d_tinyint as 
int)=d_int is encountered,
+    remove the cast and extract d_tinyint=d_int
+    EqualPairs is the output parameter and the equivalent pair of predicate 
derivation input,
+    which is used to ensure that the derivation
+    does not generate repeated equivalent conditions, such as a=b and b=a */
+    private static ImmutableEqualSet<Slot> findEqual(Set<Expression> inputs, 
Set<Pair<Slot, Slot>> equalPairs) {
+        ImmutableEqualSet.Builder<Slot> fromCastEqualSetBuilder = new 
ImmutableEqualSet.Builder<>();
+        for (Expression input : inputs) {
+            if (!(input instanceof EqualTo)) {
+                continue;
+            }
+            EqualTo equalTo = (EqualTo) input;
+            Set<Slot> leftInputSlots = equalTo.left().getInputSlots();
+            Set<Slot> rightInputSlots = equalTo.right().getInputSlots();
+            // not support a=1 b=1 -> a=b, because Sometimes there are cases 
where the predicates a=1 and a=2
+            // are not eliminated in time. After being pulled up, it is wrong 
to deduce a=b with b=1.
+            if (leftInputSlots.isEmpty() || rightInputSlots.isEmpty()) {
+                continue;
+            }
+            PredicateInferUtils.getPairFromCast((ComparisonPredicate) input)
+                    .filter(pair -> pair.first instanceof Slot && pair.second 
instanceof Slot)
+                    .ifPresent(pair -> {
+                        Slot left = (Slot) pair.first;
+                        Slot right = (Slot) pair.second;
+                        fromCastEqualSetBuilder.addEqualPair(left, right);
+                        equalPairs.add(left.getExprId().asInt() <= 
right.getExprId().asInt()
+                                ? Pair.of(left, right) : Pair.of(right, left));
+                    });
+        }
+        return fromCastEqualSetBuilder.build();
+    }
+
+    /** This is the exposed interface. Inputs are the input predicates for 
derivation.

Review Comment:
   could this equal version infer function also use the graph based algr?  No 
need to write this specific getEqualSetAndDoReplace to the infer action?



##########
fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/ReplacePredicate.java:
##########
@@ -0,0 +1,321 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+
+package org.apache.doris.nereids.rules.rewrite;
+
+import org.apache.doris.common.Pair;
+import org.apache.doris.nereids.CascadesContext;
+import org.apache.doris.nereids.analyzer.Scope;
+import org.apache.doris.nereids.exceptions.AnalysisException;
+import org.apache.doris.nereids.rules.analysis.ExpressionAnalyzer;
+import org.apache.doris.nereids.rules.expression.ExpressionRewriteContext;
+import org.apache.doris.nereids.trees.expressions.Cast;
+import org.apache.doris.nereids.trees.expressions.ComparisonPredicate;
+import org.apache.doris.nereids.trees.expressions.EqualTo;
+import org.apache.doris.nereids.trees.expressions.Expression;
+import org.apache.doris.nereids.trees.expressions.InPredicate;
+import org.apache.doris.nereids.trees.expressions.Like;
+import org.apache.doris.nereids.trees.expressions.Not;
+import org.apache.doris.nereids.trees.expressions.Or;
+import org.apache.doris.nereids.trees.expressions.Slot;
+import org.apache.doris.nereids.trees.expressions.functions.ExpressionTrait;
+import org.apache.doris.nereids.trees.expressions.literal.Literal;
+import 
org.apache.doris.nereids.trees.expressions.visitor.DefaultExpressionRewriter;
+import org.apache.doris.nereids.trees.expressions.visitor.ExpressionVisitor;
+import org.apache.doris.nereids.trees.plans.Plan;
+import org.apache.doris.nereids.types.DecimalV2Type;
+import org.apache.doris.nereids.types.DecimalV3Type;
+import org.apache.doris.nereids.util.ImmutableEqualSet;
+import org.apache.doris.nereids.util.PredicateInferUtils;
+import org.apache.doris.nereids.util.TypeCoercionUtils;
+
+import com.google.common.collect.ImmutableList;
+import org.jetbrains.annotations.Nullable;
+
+import java.util.ArrayList;
+import java.util.Comparator;
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.LinkedHashSet;
+import java.util.List;
+import java.util.Map;
+import java.util.Set;
+import java.util.stream.Collectors;
+
+/**ReplacePredicate*/
+public class ReplacePredicate {
+    private static List<Expression> getAllSubExpressions(Expression expr) {
+        List<Expression> subExpressions = new ArrayList<>();
+        getAllSubExpressions(expr, subExpressions);
+        return subExpressions;
+    }
+
+    private static void getAllSubExpressions(Expression expr, List<Expression> 
res) {
+        res.add(expr);
+        if (expr.children().size() != 1) {
+            Set<Slot> slots = expr.getInputSlots();
+            if (slots.size() == 1) {
+                res.add(slots.iterator().next());
+            }
+            return;
+        }
+        getAllSubExpressions(expr.child(0), res);
+    }
+
+    /** fill map exprPredicates : expression and all its corresponding 
predicates */
+    private static class PredicatesCollector extends ExpressionVisitor<Void, 
Map<Expression, Set<Expression>>> {
+        public static PredicatesCollector INSTANCE = new PredicatesCollector();
+
+        @Override
+        public Void visit(Expression expr, Map<Expression, Set<Expression>> 
context) {
+            return null;
+        }
+
+        @Override
+        public Void visitOr(Or expr, Map<Expression, Set<Expression>> context) 
{
+            return null;
+        }
+
+        @Override
+        public Void visitInPredicate(InPredicate inPredicate, Map<Expression, 
Set<Expression>> context) {
+            if (!validInPredicate(inPredicate)) {
+                return null;
+            }
+            for (Expression expr : 
getAllSubExpressions(inPredicate.getCompareExpr())) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(inPredicate);
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitComparisonPredicate(ComparisonPredicate 
comparisonPredicate,
+                Map<Expression, Set<Expression>> context) {
+            if (!validComparisonPredicate(comparisonPredicate)) {
+                return null;
+            }
+            // It is believed that 1<a has been rewritten as a>1
+            for (Expression expr : 
getAllSubExpressions(comparisonPredicate.child(0))) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(comparisonPredicate);
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitNot(Not not, Map<Expression, Set<Expression>> 
context) {
+            if (not.child(0) instanceof InPredicate && 
validInPredicate((InPredicate) not.child(0))
+                    || not.child(0) instanceof ComparisonPredicate
+                    && validComparisonPredicate((ComparisonPredicate) 
not.child(0))) {
+                for (Expression expr : 
getAllSubExpressions(not.child(0).child(0))) {
+                    context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(not);
+                }
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitLike(Like like, Map<Expression, Set<Expression>> 
context) {
+            if (!(like.child(1) instanceof Literal)) {
+                return null;
+            }
+            for (Expression expr : getAllSubExpressions(like.child(0))) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(like);
+            }
+            return null;
+        }
+
+        private boolean validComparisonPredicate(ComparisonPredicate 
comparisonPredicate) {
+            return comparisonPredicate.right() instanceof Literal;
+        }
+
+        private boolean validInPredicate(InPredicate inPredicate) {
+            return inPredicate.isLiteralChildren();
+        }
+    }
+
+    /* replaceToThis: find all predicates that replaceToThis can deduce (e.g. 
replaceToThis = b)
+     equalSet: the equivalent set of replaceToThis (e.g. equalSet: a=b)
+     exprPredicates: expression and all its corresponding predicates (e.g. 
such as {a: [a<10, a>1], b: [b in (1, 2)]})
+     return: all predicates that replaceToThis can deduce (return b<10, b>1) */
+    private static <T extends Expression> Set<Expression> 
getEqualSetAndDoReplace(T replaceToThis, Set<T> equalSet,
+            Map<? extends Expression, Set<Expression>> exprPredicates) {
+        ExpressionAnalyzer analyzer = new ReplaceAnalyzer(null, new 
Scope(ImmutableList.of()), null, false, false);
+        Set<Expression> res = new LinkedHashSet<>();
+        for (T equals : equalSet) {
+            Map<Expression, Expression> replaceMap = new HashMap<>();
+            replaceMap.put(equals, replaceToThis);
+            if (!exprPredicates.containsKey(equals)) {
+                continue;
+            }
+            for (Expression predicate : exprPredicates.get(equals)) {
+                Expression newPredicates = 
Replacer.INSTANCE.replace(predicate, replaceMap);
+                try {
+                    Expression analyzed = analyzer.analyze(newPredicates);
+                    res.add(analyzed.withInferred(true));
+                } catch (Exception e) {
+                    // has cast error, just not infer and do nothing
+                    continue;
+                }
+            }
+        }
+        return res;
+    }
+
+    /* Extract the equivalence relationship a=b, and when case (d_tinyint as 
int)=d_int is encountered,
+    remove the cast and extract d_tinyint=d_int

Review Comment:
   could we just use a set instead of a pair, to record the equality of 
multiple expr, such as a set with c1, c2, c3, to avoid using multiple entry to 
record c1, c2, c2?



##########
fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/ReplacePredicate.java:
##########
@@ -0,0 +1,321 @@
+// Licensed to the Apache Software Foundation (ASF) under one
+// or more contributor license agreements.  See the NOTICE file
+// distributed with this work for additional information
+// regarding copyright ownership.  The ASF licenses this file
+// to you under the Apache License, Version 2.0 (the
+// "License"); you may not use this file except in compliance
+// with the License.  You may obtain a copy of the License at
+//
+//   http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing,
+// software distributed under the License is distributed on an
+// "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+// KIND, either express or implied.  See the License for the
+// specific language governing permissions and limitations
+// under the License.
+
+package org.apache.doris.nereids.rules.rewrite;
+
+import org.apache.doris.common.Pair;
+import org.apache.doris.nereids.CascadesContext;
+import org.apache.doris.nereids.analyzer.Scope;
+import org.apache.doris.nereids.exceptions.AnalysisException;
+import org.apache.doris.nereids.rules.analysis.ExpressionAnalyzer;
+import org.apache.doris.nereids.rules.expression.ExpressionRewriteContext;
+import org.apache.doris.nereids.trees.expressions.Cast;
+import org.apache.doris.nereids.trees.expressions.ComparisonPredicate;
+import org.apache.doris.nereids.trees.expressions.EqualTo;
+import org.apache.doris.nereids.trees.expressions.Expression;
+import org.apache.doris.nereids.trees.expressions.InPredicate;
+import org.apache.doris.nereids.trees.expressions.Like;
+import org.apache.doris.nereids.trees.expressions.Not;
+import org.apache.doris.nereids.trees.expressions.Or;
+import org.apache.doris.nereids.trees.expressions.Slot;
+import org.apache.doris.nereids.trees.expressions.functions.ExpressionTrait;
+import org.apache.doris.nereids.trees.expressions.literal.Literal;
+import 
org.apache.doris.nereids.trees.expressions.visitor.DefaultExpressionRewriter;
+import org.apache.doris.nereids.trees.expressions.visitor.ExpressionVisitor;
+import org.apache.doris.nereids.trees.plans.Plan;
+import org.apache.doris.nereids.types.DecimalV2Type;
+import org.apache.doris.nereids.types.DecimalV3Type;
+import org.apache.doris.nereids.util.ImmutableEqualSet;
+import org.apache.doris.nereids.util.PredicateInferUtils;
+import org.apache.doris.nereids.util.TypeCoercionUtils;
+
+import com.google.common.collect.ImmutableList;
+import org.jetbrains.annotations.Nullable;
+
+import java.util.ArrayList;
+import java.util.Comparator;
+import java.util.HashMap;
+import java.util.HashSet;
+import java.util.LinkedHashSet;
+import java.util.List;
+import java.util.Map;
+import java.util.Set;
+import java.util.stream.Collectors;
+
+/**ReplacePredicate*/
+public class ReplacePredicate {
+    private static List<Expression> getAllSubExpressions(Expression expr) {
+        List<Expression> subExpressions = new ArrayList<>();
+        getAllSubExpressions(expr, subExpressions);
+        return subExpressions;
+    }
+
+    private static void getAllSubExpressions(Expression expr, List<Expression> 
res) {
+        res.add(expr);
+        if (expr.children().size() != 1) {
+            Set<Slot> slots = expr.getInputSlots();
+            if (slots.size() == 1) {
+                res.add(slots.iterator().next());
+            }
+            return;
+        }
+        getAllSubExpressions(expr.child(0), res);
+    }
+
+    /** fill map exprPredicates : expression and all its corresponding 
predicates */
+    private static class PredicatesCollector extends ExpressionVisitor<Void, 
Map<Expression, Set<Expression>>> {
+        public static PredicatesCollector INSTANCE = new PredicatesCollector();
+
+        @Override
+        public Void visit(Expression expr, Map<Expression, Set<Expression>> 
context) {
+            return null;
+        }
+
+        @Override
+        public Void visitOr(Or expr, Map<Expression, Set<Expression>> context) 
{
+            return null;
+        }
+
+        @Override
+        public Void visitInPredicate(InPredicate inPredicate, Map<Expression, 
Set<Expression>> context) {
+            if (!validInPredicate(inPredicate)) {
+                return null;
+            }
+            for (Expression expr : 
getAllSubExpressions(inPredicate.getCompareExpr())) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(inPredicate);
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitComparisonPredicate(ComparisonPredicate 
comparisonPredicate,
+                Map<Expression, Set<Expression>> context) {
+            if (!validComparisonPredicate(comparisonPredicate)) {
+                return null;
+            }
+            // It is believed that 1<a has been rewritten as a>1
+            for (Expression expr : 
getAllSubExpressions(comparisonPredicate.child(0))) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(comparisonPredicate);
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitNot(Not not, Map<Expression, Set<Expression>> 
context) {
+            if (not.child(0) instanceof InPredicate && 
validInPredicate((InPredicate) not.child(0))
+                    || not.child(0) instanceof ComparisonPredicate
+                    && validComparisonPredicate((ComparisonPredicate) 
not.child(0))) {
+                for (Expression expr : 
getAllSubExpressions(not.child(0).child(0))) {
+                    context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(not);
+                }
+            }
+            return null;
+        }
+
+        @Override
+        public Void visitLike(Like like, Map<Expression, Set<Expression>> 
context) {
+            if (!(like.child(1) instanceof Literal)) {
+                return null;
+            }
+            for (Expression expr : getAllSubExpressions(like.child(0))) {
+                context.computeIfAbsent(expr, k -> new 
LinkedHashSet<>()).add(like);
+            }
+            return null;
+        }
+
+        private boolean validComparisonPredicate(ComparisonPredicate 
comparisonPredicate) {
+            return comparisonPredicate.right() instanceof Literal;
+        }
+
+        private boolean validInPredicate(InPredicate inPredicate) {
+            return inPredicate.isLiteralChildren();
+        }
+    }
+
+    /* replaceToThis: find all predicates that replaceToThis can deduce (e.g. 
replaceToThis = b)
+     equalSet: the equivalent set of replaceToThis (e.g. equalSet: a=b)
+     exprPredicates: expression and all its corresponding predicates (e.g. 
such as {a: [a<10, a>1], b: [b in (1, 2)]})
+     return: all predicates that replaceToThis can deduce (return b<10, b>1) */
+    private static <T extends Expression> Set<Expression> 
getEqualSetAndDoReplace(T replaceToThis, Set<T> equalSet,
+            Map<? extends Expression, Set<Expression>> exprPredicates) {
+        ExpressionAnalyzer analyzer = new ReplaceAnalyzer(null, new 
Scope(ImmutableList.of()), null, false, false);
+        Set<Expression> res = new LinkedHashSet<>();
+        for (T equals : equalSet) {
+            Map<Expression, Expression> replaceMap = new HashMap<>();
+            replaceMap.put(equals, replaceToThis);
+            if (!exprPredicates.containsKey(equals)) {
+                continue;
+            }
+            for (Expression predicate : exprPredicates.get(equals)) {
+                Expression newPredicates = 
Replacer.INSTANCE.replace(predicate, replaceMap);
+                try {
+                    Expression analyzed = analyzer.analyze(newPredicates);
+                    res.add(analyzed.withInferred(true));
+                } catch (Exception e) {
+                    // has cast error, just not infer and do nothing
+                    continue;
+                }
+            }
+        }
+        return res;
+    }
+
+    /* Extract the equivalence relationship a=b, and when case (d_tinyint as 
int)=d_int is encountered,
+    remove the cast and extract d_tinyint=d_int

Review Comment:
   why impl the ImmutableEqualSet using a map? looks a little strange...



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