diff --git a/paddle/fluid/framework/new_executor/interpretercore.cc b/paddle/fluid/framework/new_executor/interpretercore.cc
index 29aa7b13a270eb348aa8f603959fb52f4eef677a..67c79c9bf975ff5986312ab0e585f928a375d222 100644
--- a/paddle/fluid/framework/new_executor/interpretercore.cc
+++ b/paddle/fluid/framework/new_executor/interpretercore.cc
@@ -121,6 +121,9 @@ paddle::framework::FetchList InterpreterCore::Run(
   Prepare(feed_names, feed_tensors, is_build);
 
   if (is_build) {
+    // add listener before run and is_build=true
+    global_scope_->ResetListener();
+
     ExecuteInstructionList(vec_instruction_);
   }
 
@@ -128,6 +131,9 @@ paddle::framework::FetchList InterpreterCore::Run(
     ClearLoDTensorArrayInLocalScope();
   }
 
+  // clear the listener after run
+  global_scope_->ClearListener();
+
   // return Fetch Tensors
   auto* fetch_var = global_scope_->Var(interpreter::kFetchVarName);
   return std::move(*fetch_var->GetMutable<framework::FetchList>());
@@ -162,6 +168,9 @@ paddle::framework::FetchList InterpreterCore::Run(
     Convert(&op_func_nodes);
 
   } else {
+    // add listener before run and is_build=true
+    global_scope_->ResetListener();
+
     ExecuteInstructionList(vec_instruction_);
   }
 
@@ -169,6 +178,9 @@ paddle::framework::FetchList InterpreterCore::Run(
     ClearLoDTensorArrayInLocalScope();
   }
 
+  // clear the listener after run
+  global_scope_->ClearListener();
+
   // return Fetch Tensors
   auto* fetch_var = global_scope_->Var(interpreter::kFetchVarName);
   return std::move(*fetch_var->GetMutable<framework::FetchList>());
@@ -192,7 +204,8 @@ void InterpreterCore::BuildOperatorDependences() {
   // Schedule
   auto op_nums = vec_instruction_.size();
   dependecy_count_.resize(op_nums);
-  auto op2downstream = interpreter::build_op_downstream_map(vec_instruction_);
+  auto op2downstream = interpreter::build_op_downstream_map(
+      vec_instruction_, &op_happens_before_);
   for (size_t op = 0; op < vec_instruction_.size(); ++op) {
     auto op_list = op2downstream[op];
     std::vector<size_t> downsteam_vector(op_list.begin(), op_list.end());
@@ -213,18 +226,21 @@ void InterpreterCore::Convert(
 
   auto op_nums = nodes.size();
   vec_instruction_.reserve(op_nums);
-
   for (size_t op_idx = 0; op_idx < op_nums; ++op_idx) {
     auto& op_func_node = nodes[op_idx];
     auto* dev_ctx_ = stream_analyzer_.ParseDeviceContext(op_func_node);
-
     vec_instruction_.emplace_back(op_idx, std::move(op_func_node), *dev_ctx_);
-    auto& instr = vec_instruction_.back();
+  }
+
+  BuildOperatorDependences();
 
+  // calculate last_live_ops_
+  for (size_t op_idx = 0; op_idx < op_nums; ++op_idx) {
+    auto& instr = vec_instruction_[op_idx];
     OpInOutInfo info;
-    std::vector<size_t> gc_check_input_list;
+    std::set<size_t> gc_check_inputs;
 
-    for (auto& item : op_func_node.input_index) {
+    for (auto& item : instr.Inputs()) {
       for (auto id : item.second) {
         if (id == kEmptyVarIndex) {
           continue;
@@ -232,38 +248,24 @@ void InterpreterCore::Convert(
         input_var2op_info_.at(id).push_back(op_idx);
         // var can be gc-ed
         if (!info.IsBuilt()) {
-          info.Build(op_func_node.operator_base_.get());
+          info.Build(instr.OpBase());
         }
         auto* var_desc = global_scope_->VarDesc(id);
         if (var_desc) {
           if (info.IsInArgBufferNeeded(var_desc->Name())) {
-            gc_check_input_list.push_back(id);
+            gc_check_inputs.insert(id);
           }
         } else {
-          gc_check_input_list.push_back(id);
+          gc_check_inputs.insert(id);
         }
       }
     }
-    std::sort(gc_check_input_list.begin(), gc_check_input_list.end());
-    auto last =
-        std::unique(gc_check_input_list.begin(), gc_check_input_list.end());
-    gc_check_input_list.erase(last, gc_check_input_list.end());
 
-    for (auto var_id : gc_check_input_list) {
+    for (auto var_id : gc_check_inputs) {
       paddle::framework::Variable* var = global_scope_->Var(var_id);
       if (var->IsType<LoDTensor>() || var->IsType<phi::SelectedRows>() ||
           var->IsType<LoDTensorArray>()) {
-        vec_meta_info[var_id].var_ref_count_++;
-        // TODO(zhiqiu): not all var needs to be checked, var need to be checked
-        // only
-        // after the last_live_op. For example,
-        // b = op1(a)
-        // c = op2(a, b)
-        // in this case, a is the input of op1 and op2, we only need to check
-        // a after op2, because op2 always uses a after op1.
-        instr.AddGCCheckVar(var_id);
-        VLOG(4) << "clear " << global_scope_->GetNameById(var_id) << " after "
-                << instr.OpBase()->Type();
+        last_live_ops_[var_id].insert(op_idx);
       } else {
         VLOG(4) << "not clear " << global_scope_->GetNameById(var_id)
                 << " after " << instr.OpBase()->Type()
@@ -276,19 +278,45 @@ void InterpreterCore::Convert(
   for (size_t i = 0; i < vec_instruction_.size(); ++i) {
     // checkout ouput
     for (auto& item : vec_instruction_[i].Outputs()) {
-      for (auto id : item.second) {
-        if (input_var2op_info_.at(id).size() == 0) {
-          // output var not be used by any kernel
-          vec_instruction_[i].AddGCCheckVar(id);
-          VLOG(4) << "clear " << global_scope_->GetNameById(id) << " after "
-                  << vec_instruction_[i].OpBase()->Type();
-          vec_meta_info[id].var_ref_count_++;
+      for (auto var_id : item.second) {
+        if (input_var2op_info_.at(var_id).size() == 0) {
+          last_live_ops_[var_id].insert(i);
         }
       }
     }
   }
 
-  BuildOperatorDependences();
+  // shrink, find the downstream op that has no other op in the
+  // downstream list happens before it
+  // For example,
+  // b = op1(a)
+  // c = op2(a, b)
+  // in this case, a is the input of op1 and op2, we only need to check
+  // a after op2, because op2 always uses a after op1.
+  for (size_t i = 0; i < last_live_ops_.size(); ++i) {
+    std::set<size_t> minumum_last_live_ops;
+    for (size_t item : last_live_ops_[i]) {
+      bool not_before_any = true;
+      // find the op that is not executed before any
+      for (size_t other_item : last_live_ops_[i]) {
+        if (op_happens_before_[item][other_item]) {
+          VLOG(8) << "happens_before: " << item << "->" << other_item
+                  << ", so skip " << item;
+          not_before_any = false;
+          break;
+        }
+      }
+      if (not_before_any) {
+        VLOG(8) << "last live op of var " << i << " "
+                << global_scope_->GetNameById(i) << " : " << item << " "
+                << vec_instruction_[item].OpBase()->Type();
+        minumum_last_live_ops.insert(item);
+        vec_instruction_[item].AddGCCheckVar(i);
+      }
+    }
+    last_live_ops_[i] = minumum_last_live_ops;
+    vec_meta_info[i].var_ref_count_ = last_live_ops_[i].size();
+  }
 
   for (size_t i = 0; i < vec_instruction_.size(); ++i) {
     BuildAndCacheInstructionCtx(&vec_instruction_[i]);
diff --git a/paddle/fluid/framework/new_executor/interpretercore.h b/paddle/fluid/framework/new_executor/interpretercore.h
index c1ade85e1384c0e1f6fe3f3d6480b606e8a24391..3af0ddb675a45157332928c1997d73d3096aff7b 100644
--- a/paddle/fluid/framework/new_executor/interpretercore.h
+++ b/paddle/fluid/framework/new_executor/interpretercore.h
@@ -109,6 +109,11 @@ class InterpreterCore {
 
   std::vector<Instruction> vec_instruction_;  // deconstruct before OpFuncNode
 
+  // op_happens_before_[i][j] == true means op[i] happens before op[j]
+  std::vector<std::vector<bool>> op_happens_before_;
+  // last_live_ops_[i] contains the id of operatos that last access var[i]
+  std::map<size_t, std::set<size_t>> last_live_ops_;
+
   std::vector<size_t> dependecy_count_;
   std::atomic<size_t> unfinished_op_numer_{0};
   std::vector<std::vector<size_t>> input_var2op_info_;
diff --git a/paddle/fluid/framework/new_executor/interpretercore_util.cc b/paddle/fluid/framework/new_executor/interpretercore_util.cc
index 59703332efe9594c3f2130eeff79bea6c690839e..ed813c78bc3689cf85b0495c523ba29d787a708c 100644
--- a/paddle/fluid/framework/new_executor/interpretercore_util.cc
+++ b/paddle/fluid/framework/new_executor/interpretercore_util.cc
@@ -172,6 +172,8 @@ void build_variable_scope(const framework::BlockDesc& block,
       auto* ptr = inner_scope->Var(var_name);
 
       VLOG(3) << "Initialize Variable " << var_name;
+      // NOTE(zhiqiu): if var exists in scope and the type is right,
+      // InitializeVariable will not create a new variable.
       InitializeVariable(ptr, var_desc->GetType());
       VLOG(3) << "Create Variable " << var_name << " global, which pointer is "
               << ptr << " type is " << static_cast<int>(var_desc->GetType());
@@ -614,23 +616,125 @@ void update_var_min_rw_op(const std::map<int, std::set<int>>& op2dependences,
 }
 
 std::map<int, std::list<int>> get_downstream_map(
-    const std::map<int, std::set<int>>& op2dependences) {
-  // op2dependences is op -> it's dependences. we want to get op -> [ops] map,
+    const std::map<int, std::set<int>>& op2dependences,
+    std::vector<std::vector<bool>>* op_happens_before) {
+  // step1: convert op2dependences to downstream_map directly
+  // op2dependences is op -> it's dependences.
+  // we want to get op -> [next ops] map,
   // where ops is the next instruction of op.
-  std::map<int, std::list<int>> result;
+  std::map<int, std::list<int>> downstream;
   for (auto& item : op2dependences) {
     int op = item.first;
     for (auto dep_op : item.second) {
-      if (result.find(dep_op) == result.end())
-        result[dep_op] = std::list<int>();
-      result[dep_op].push_back(op);
+      if (downstream.find(dep_op) == downstream.end())
+        downstream[dep_op] = std::list<int>();
+      downstream[dep_op].push_back(op);
     }
   }
-  return std::move(result);
+
+  auto downstream_map_to_str = [&]() -> std::string {
+    std::ostringstream oss;
+    for (auto pair : downstream) {
+      oss << pair.first << " -> ";
+      std::copy(pair.second.begin(), pair.second.end(),
+                std::ostream_iterator<int>(oss, " "));
+      oss << std::endl;
+    }
+    return oss.str();
+  };
+
+  auto downstream_map_count = [&]() -> size_t {
+    size_t count = 0;
+    for (auto pair : downstream) {
+      count += pair.second.size();
+    }
+    return count;
+  };
+
+  VLOG(6) << "downstream count: " << downstream_map_count();
+  VLOG(6) << "downstream_map: " << std::endl << downstream_map_to_str();
+
+  // step2: remove unneccessary downstream ops
+  // for example, a->b->c
+  // a: b, c
+  // b: c
+  // =>
+  // a: b
+  // b: c
+
+  // NOTE(zhiqiu): the size of downstream != size of op2dependences
+  // since there are some ops that have no downstream-op.
+  auto op_num = op2dependences.size();
+  // happens_before[i][j] means i should be executed before j
+  op_happens_before->resize(op_num);
+  for (size_t i = 0; i < op_num; ++i) {
+    (*op_happens_before)[i].resize(op_num);
+    std::fill((*op_happens_before)[i].begin(), (*op_happens_before)[i].end(),
+              false);
+  }
+
+  // bfs to get all next ops
+  auto bfs = [&](size_t op_idx) {
+    std::queue<size_t> q;
+    std::vector<bool> visited(op_num, false);
+    q.push(op_idx);
+    while (!q.empty()) {
+      size_t op = q.front();
+      q.pop();
+      visited[op] = true;
+      if (!downstream.count(op)) {
+        continue;
+      }
+      for (auto next : downstream[op]) {
+        if (!visited[next]) {
+          PADDLE_ENFORCE_EQ((*op_happens_before)[next][op_idx], false,
+                            paddle::platform::errors::AlreadyExists(
+                                "There exists circle in graph, expected "
+                                "%d->%d, but already got %d->%d",
+                                op_idx, next, next, op_idx));
+          (*op_happens_before)[op_idx][next] = true;
+          VLOG(8) << "happens before: " << op_idx << " " << next;
+          q.push(next);
+        }
+      }
+    }
+  };
+
+  for (size_t i = 0; i < op_num; ++i) {
+    bfs(i);
+  }
+
+  // shrink, find the downstream op that has no other op in the
+  // downstream list happens before it
+  for (size_t i = 0; i < op_num; ++i) {
+    std::list<int> minumum_nexts;
+    for (size_t item : downstream[i]) {
+      bool not_after_any = true;
+      // find the op that is not executed after any
+      for (size_t other_item : downstream[i]) {
+        if ((*op_happens_before)[other_item][item]) {
+          VLOG(8) << "happens_before: " << other_item << "->" << item
+                  << ", so skip " << item;
+          not_after_any = false;
+          break;
+        }
+      }
+      if (not_after_any) {
+        VLOG(8) << "downstream op of " << i << ": " << item;
+        minumum_nexts.push_back(item);
+      }
+    }
+    downstream[i] = minumum_nexts;
+  }
+  VLOG(6) << "downstream count: " << downstream_map_count();
+  VLOG(6) << "downstream_map: " << std::endl << downstream_map_to_str();
+
+  return std::move(downstream);
 }
 
 std::map<int, std::list<int>> build_op_downstream_map(
-    const std::vector<Instruction>& vec_instruction) {
+    const std::vector<Instruction>& vec_instruction,
+    std::vector<std::vector<bool>>* op_happens_before) {
   auto var2min_rw_op = std::map<
       int, std::list<int>>();  // # map from variable id to read / write op id.
   auto var2recent_write_op =
@@ -709,8 +813,13 @@ std::map<int, std::list<int>> build_op_downstream_map(
   // add dependences for random op, make sure that the random op is scheduled
   // sequentially
   const std::set<std::string> random_op_set = {
-      "bernoulli",      "poisson", "multinomial", "gaussian_random",
-      "uniform_random", "randint", "randperm",    "exponential"};
+      "bernoulli", "poisson", "multinomial", "gaussian_random",
+      "truncated_gaussian_random", "uniform_random", "randint", "randperm",
+      "exponential",
+      "sampling_id"
+      "dropout",
+      "class_center_sample",
+  };
 
   int dependence_op_idx = -1;
   for (size_t op_idx = 0; op_idx < vec_instruction.size(); ++op_idx) {
@@ -723,13 +832,26 @@ std::map<int, std::list<int>> build_op_downstream_map(
   }
 
   // add dependency for communication op
-  const std::string communication_op_prefix = "c_";
+  auto is_comm_op = [](std::string op) -> bool {
+    const std::set<std::string> special_comm_op_set = {
+        "send", "recv", "send_v2", "recv_v2",
+    };
+    const std::string communication_op_prefix = "c_";
+    if (op.find(communication_op_prefix) != std::string::npos ||
+        special_comm_op_set.count(op)) {
+      return true;
+    }
+    return false;
+  };
+
   dependence_op_idx = -1;
   for (size_t op_idx = 0; op_idx < vec_instruction.size(); ++op_idx) {
-    if (vec_instruction[op_idx].OpBase()->Type().find(
-            communication_op_prefix) != std::string::npos) {
+    if (is_comm_op(vec_instruction[op_idx].OpBase()->Type())) {
       if (dependence_op_idx != -1) {
         op2dependences[op_idx].insert(dependence_op_idx);
+        VLOG(4) << "Add depend from "
+                << vec_instruction[dependence_op_idx].OpBase()->Type() << " to "
+                << vec_instruction[op_idx].OpBase()->Type();
       }
       dependence_op_idx = op_idx;
     }
@@ -833,10 +955,8 @@ std::map<int, std::list<int>> build_op_downstream_map(
       for (size_t j = first_read_fused_out_op + 1; j < vec_instruction.size();
            ++j) {
         if (j == target + 1 &&
-            vec_instruction[target].OpBase()->Type().find(
-                communication_op_prefix) != std::string::npos &&
-            vec_instruction[j].OpBase()->Type().find(communication_op_prefix) !=
-                std::string::npos) {
+            is_comm_op(vec_instruction[target].OpBase()->Type()) &&
+            is_comm_op(vec_instruction[j].OpBase()->Type())) {
           VLOG(4) << "Found consecutive communication ops, "
                   << vec_instruction[target].OpBase()->Type() << " -> "
                   << vec_instruction[j].OpBase()->Type();
@@ -857,13 +977,13 @@ std::map<int, std::list<int>> build_op_downstream_map(
     }
   }
   for (auto pair : op2dependences) {
-    VLOG(10) << pair.first << " Depends on " << pair.second.size();
     std::ostringstream oss;
+    oss << pair.first << " Depends on " << pair.second.size() << " ops: ";
     std::copy(pair.second.begin(), pair.second.end(),
               std::ostream_iterator<int>(oss, " "));
     VLOG(10) << oss.str();
   }
-  return std::move(get_downstream_map(op2dependences));
+  return std::move(get_downstream_map(op2dependences, op_happens_before));
 }
 
 }  // namespace interpreter
diff --git a/paddle/fluid/framework/new_executor/interpretercore_util.h b/paddle/fluid/framework/new_executor/interpretercore_util.h
index 044a9ea368cbc506ce4a30bb82562177263786f9..56683330ee6cb90f40645bfa0160516d30cf5418 100644
--- a/paddle/fluid/framework/new_executor/interpretercore_util.h
+++ b/paddle/fluid/framework/new_executor/interpretercore_util.h
@@ -116,7 +116,8 @@ void build_op_func_list(const platform::Place& place,
                         VariableScope* var_scope, bool use_local_scope = true);
 
 std::map<int, std::list<int>> build_op_downstream_map(
-    const std::vector<Instruction>& vec_instruction);
+    const std::vector<Instruction>& vec_instruction,
+    std::vector<std::vector<bool>>* op_happens_before);
 
 void add_fetch(const std::vector<std::string>& fetch_names,
                framework::BlockDesc* block);
diff --git a/paddle/fluid/framework/new_executor/new_executor_defs.cc b/paddle/fluid/framework/new_executor/new_executor_defs.cc
index 089e68fe48c527971cd896373efdd4f41bafa75a..ac1a654df47b6222f05b788ba585f641a013ce35 100644
--- a/paddle/fluid/framework/new_executor/new_executor_defs.cc
+++ b/paddle/fluid/framework/new_executor/new_executor_defs.cc
@@ -641,6 +641,28 @@ void VariableScope::CheckExist(const std::string& name) const {
                                             "%s not in VariableScope.", name));
 }
 
+void VariableScope::ClearListener() {
+  if (scope_ && listener_ && scope_->HasListener(listener_)) {
+    VLOG(4) << "Clear listener " << listener_ << " for " << scope_;
+    scope_->DelListener(listener_);
+  }
+  if (local_scope_ && listener_ && local_scope_->HasListener(listener_)) {
+    VLOG(4) << "Clear listener " << listener_ << " for " << local_scope_;
+    local_scope_->DelListener(listener_);
+  }
+}
+
+void VariableScope::ResetListener() {
+  if (scope_ && listener_ && !scope_->HasListener(listener_)) {
+    VLOG(4) << "Add listener " << listener_ << " for " << scope_;
+    scope_->AddListener(listener_);
+  }
+  if (local_scope_ && listener_ && !local_scope_->HasListener(listener_)) {
+    VLOG(4) << "Add listener " << listener_ << " for " << local_scope_;
+    local_scope_->AddListener(listener_);
+  }
+}
+
 VariableScopeListener::VariableScopeListener(VariableScope* var_scope) {
   var_scope_ = var_scope;
 }
diff --git a/paddle/fluid/framework/new_executor/new_executor_defs.h b/paddle/fluid/framework/new_executor/new_executor_defs.h
index aab32cfa06d4042e3181d50e66edaa02cc67b17c..b223a2ad769054055e88eb1b7f4b575938b94a54 100644
--- a/paddle/fluid/framework/new_executor/new_executor_defs.h
+++ b/paddle/fluid/framework/new_executor/new_executor_defs.h
@@ -238,6 +238,10 @@ class VariableScope : public ScopeBase {
 
   bool GetVarSikpInplace(int id) const;
 
+  void ClearListener();
+
+  void ResetListener();
+
   friend class VariableScopeListener;
 
  private:
diff --git a/paddle/fluid/framework/new_executor/standalone_executor.cc b/paddle/fluid/framework/new_executor/standalone_executor.cc
index a22502314759f2075fd51811738d08fa4d924072..72eb90dd7270a018c84824fe53b4ffcbe7cdb6bd 100644
--- a/paddle/fluid/framework/new_executor/standalone_executor.cc
+++ b/paddle/fluid/framework/new_executor/standalone_executor.cc
@@ -24,19 +24,21 @@ StandaloneExecutor::StandaloneExecutor(const platform::Place& place,
       startup_prog_(startup_prog),
       main_prog_(main_prog),
       global_scope_(VariableScope(scope)) {
-  // NOTE(zhiqiu): it is needed to sync thhe variables in scope to
-  // variable_scope,
-  // since the some variable only exists in startup program, e.g,
-  // lod_tensor_blocking_queue_0 used in dataloader.
-  // These variables may be created in scope during runing startup program with
-  // original executor.
+  // NOTE(zhiqiu): it is needed to sync the variables in scope to
+  // variable_scope, since the some variable only exists in scope.
+  // For example, 'lod_tensor_blocking_queue_0' used in dataloader.
+  // These variables may be created in scope, and it is not existed as
+  // variable in program.
   if (scope) {
-    auto name_list = scope->LocalVarNames();
-    for (auto name : name_list) {
-      VLOG(4) << "Sync Variable from variable scope: " << name;
-      auto v = scope->Var(name);
-      if (!global_scope_.HasVar(name)) {
-        global_scope_.AddVar(name, *v);
+    const std::string blocking_queue_prefix = "lod_tensor_blocking_queue";
+    auto vars = scope->LocalVarNames();
+    for (const auto& name : vars) {
+      if (name.find(blocking_queue_prefix) != std::string::npos) {
+        if (!global_scope_.HasVar(name)) {
+          auto* v = scope->Var(name);
+          VLOG(4) << "Sync Variable from scope to variable scope: " << name;
+          global_scope_.AddVar(name, *v);
+        }
       }
     }
   }
diff --git a/paddle/fluid/framework/scope.cc b/paddle/fluid/framework/scope.cc
index 0463f5788f1549a1764c1359bd451977c9954854..c95159d572733da6e0e2083278ac0a566baff94a 100644
--- a/paddle/fluid/framework/scope.cc
+++ b/paddle/fluid/framework/scope.cc
@@ -289,6 +289,11 @@ void Scope::DelListener(const std::shared_ptr<ScopeListener>& listener) {
   listeners_.remove(listener);
 }
 
+bool Scope::HasListener(const std::shared_ptr<ScopeListener>& listener) {
+  auto it = std::find(listeners_.begin(), listeners_.end(), listener);
+  return it != listeners_.end();
+}
+
 void Scope::EraseVarsExcept(const std::unordered_set<Variable*>& vars) {
   SCOPE_VARS_WRITER_LOCK
   for (auto iter = vars_.begin(); iter != vars_.end();) {
diff --git a/paddle/fluid/framework/scope.h b/paddle/fluid/framework/scope.h
index 1669fba1327e5c08053735036b1946d35f2e8e49..9231ec90e8f882471735ee13c32a9679b1f98d7c 100644
--- a/paddle/fluid/framework/scope.h
+++ b/paddle/fluid/framework/scope.h
@@ -154,6 +154,8 @@ class Scope : public ScopeBase {
 
   void DelListener(const std::shared_ptr<ScopeListener>& listener);
 
+  bool HasListener(const std::shared_ptr<ScopeListener>& listener);
+
  protected:
   struct KeyHasher {
     std::size_t operator()(const std::string& key) const {