[fix](Nereids) record wrong best plan properties

fe/fe-core/src/main/java/org/apache/doris/nereids/NereidsPlanner.java

@@ -72,9 +72,6 @@
 import java.util.List;
 import java.util.Map;
 import java.util.Optional;
-import java.util.concurrent.Executors;
-import java.util.concurrent.ScheduledExecutorService;
-import java.util.concurrent.TimeUnit;
 import java.util.stream.Collectors;
 
 /**
@@ -335,20 +332,14 @@ private PhysicalPlan chooseBestPlan(Group rootGroup, PhysicalProperties physical
                     groupExpression.getOwnerGroup().getStatistics());
             return physicalPlan;
         } catch (Exception e) {
-            String memo = cascadesContext.getMemo().toString();
-            LOG.warn("Failed to choose best plan, memo structure:{}", memo, e);
-            throw new AnalysisException("Failed to choose best plan", e);
+            if (e instanceof AnalysisException && e.getMessage().contains("Failed to choose best plan")) {
+                throw e;
+            }
+            LOG.warn("Failed to choose best plan, memo structure:{}", cascadesContext.getMemo(), e);
+            throw new AnalysisException("Failed to choose best plan: " + e.getMessage(), e);
         }
     }
 
-    private ScheduledExecutorService runTimeoutExecutor() {
-        ScheduledExecutorService executor = Executors.newSingleThreadScheduledExecutor();
-        Runnable task = () -> cascadesContext.setIsTimeout(true);
-        executor.schedule(task, 5, TimeUnit.SECONDS);
-
-        return executor;
-    }
-
     /**
      * getting hints explain string, which specified by enumerate and show in lists
      * @param hintMap hint map recorded in statement context

fe/fe-core/src/main/java/org/apache/doris/nereids/memo/Group.java

@@ -438,14 +438,29 @@ public String toString() {
         for (GroupExpression physicalExpression : physicalExpressions) {
             str.append("    ").append(physicalExpression).append("\n");
         }
-        str.append(" enforcers:\n");
+        str.append("  enforcers:\n");
         for (GroupExpression enforcer : enforcers) {
             str.append("    ").append(enforcer).append("\n");
         }
         if (chosenGroupExpressionId != -1) {
             str.append("  chosen expression id: ").append(chosenGroupExpressionId).append("\n");
             str.append("  chosen properties: ").append(chosenProperties).append("\n");
         }
+        str.append("  stats").append("\n");
+        str.append(getStatistics() == null ? "" : getStatistics().detail("    "));
+        str.append("  lowest Plan(cost, properties, plan, childrenRequires)");
+        getAllProperties().forEach(
+                prop -> {
+                    Optional<Pair<Cost, GroupExpression>> costAndGroupExpression = getLowestCostPlan(prop);
+                    if (costAndGroupExpression.isPresent()) {
+                        Cost cost = costAndGroupExpression.get().first;
+                        GroupExpression child = costAndGroupExpression.get().second;
+                        str.append("\n\n    ").append(cost.getValue()).append(" ").append(prop)
+                                .append("\n     ").append(child).append("\n     ")
+                                .append(child.getInputPropertiesListOrEmpty(prop));
+                    }
+                }
+        );
         return str.toString();
     }
 

fe/fe-core/src/main/java/org/apache/doris/nereids/memo/Memo.java

@@ -779,23 +779,7 @@ public String toString() {
         StringBuilder builder = new StringBuilder();
         builder.append("root:").append(getRoot()).append("\n");
         for (Group group : groups.values()) {
-            builder.append("\n\n").append(group);
-            builder.append("  stats").append("\n");
-            builder.append(group.getStatistics().detail("    "));
-            builder.append("  lowest Plan(cost, properties, plan, childrenRequires)");
-            group.getAllProperties().forEach(
-                    prop -> {
-                        Optional<Pair<Cost, GroupExpression>> costAndGroupExpression = group.getLowestCostPlan(prop);
-                        if (costAndGroupExpression.isPresent()) {
-                            Cost cost = costAndGroupExpression.get().first;
-                            GroupExpression child = costAndGroupExpression.get().second;
-                            builder.append("\n\n    " + cost.getValue() + " " + prop)
-                                    .append("\n     ").append(child)
-                                    .append("\n     " + child.getInputPropertiesListOrEmpty(prop));
-                        }
-                    }
-            );
-            builder.append("\n");
+            builder.append("\n\n").append(group).append("\n");
         }
         return builder.toString();
     }

fe/fe-core/src/main/java/org/apache/doris/nereids/properties/EnforceMissingPropertiesHelper.java

@@ -87,7 +87,7 @@ private PhysicalProperties enforceDistributionButMeetSort(PhysicalProperties out
         groupExpression.getOwnerGroup()
                 .replaceBestPlanProperty(
                         output, PhysicalProperties.ANY, groupExpression.getCostValueByProperties(output));
-        return enforceSortAndDistribution(output, request);
+        return enforceSortAndDistribution(PhysicalProperties.ANY, request);
     }
 
     private PhysicalProperties enforceGlobalSort(PhysicalProperties oldOutputProperty, PhysicalProperties required) {