diff --git a/paddle/framework/grad_op_builder.cc b/paddle/framework/grad_op_builder.cc
index c51a563a61297707bd1c11ef4aaf3d2ce0ba6a24..35db0cf716d04bdc2fd6a9789fcf11f56efdc7f6 100644
--- a/paddle/framework/grad_op_builder.cc
+++ b/paddle/framework/grad_op_builder.cc
@@ -21,8 +21,6 @@ namespace framework {
 
 class OpRegistry;
 
-using VarIndexMap = std::unordered_map<std::string, int>;
-
 enum class OpArgType { IN, OUT };
 
 static void TransOpArg(const OperatorBase* src_op, OperatorBase* dst_op,
@@ -36,10 +34,9 @@ static void TransOpArg(const OperatorBase* src_op, OperatorBase* dst_op,
   const OpProto& proto = OpProtos().at(src_op->type_);
   const auto& src_arg_list =
       src_type == OpArgType::IN ? proto.inputs() : proto.outputs();
-
   for (const auto& arg : src_arg_list) {
     if (arg.no_gradient() && !is_grad) continue;
-    std::string src_name = arg.name();
+    const std::string src_name = arg.name();
     std::string dst_name = is_grad ? GradVarName(src_name) : src_name;
     dst_inout[dst_name].reserve(src_inout.at(src_name).size());
     for (auto& var_name : src_inout.at(src_name)) {
diff --git a/paddle/framework/grad_op_builder_test.cc b/paddle/framework/grad_op_builder_test.cc
index 19da90967f05bf2727be699ccd26314b14220230..85e745322b9b8ad9d73791387644915100e3926b 100644
--- a/paddle/framework/grad_op_builder_test.cc
+++ b/paddle/framework/grad_op_builder_test.cc
@@ -110,15 +110,12 @@ TEST(GradOpBuilder, IOIgnoredInGradient) {
       f::OpRegistry::CreateGradOp(*test_op);
 
   // 'In2' and 'Out2' are ignored in gradient calculating
-  ASSERT_EQ(grad_test_op->inputs_.size(), 3UL + 2UL + 2UL);
+  ASSERT_EQ(grad_test_op->inputs_.size(), 2UL + 1UL + 2UL);
   EXPECT_EQ(grad_test_op->Input("In1"), "in1");
-  EXPECT_EQ(grad_test_op->Inputs("In2_mult"),
-            std::vector<std::string>({f::kEmptyVarName, f::kEmptyVarName}));
   EXPECT_EQ(grad_test_op->Inputs("In3_mult"),
             std::vector<std::string>({"in3_1", "in3_2"}));
   EXPECT_EQ(grad_test_op->Inputs("Out1_mult"),
             std::vector<std::string>({"out1_1", "out1_2"}));
-  EXPECT_EQ(grad_test_op->Input("Out2"), f::kEmptyVarName);
   EXPECT_EQ(grad_test_op->Inputs(f::GradVarName("Out1_mult")),
             std::vector<std::string>(
                 {f::GradVarName("out1_1"), f::GradVarName("out1_2")}));
diff --git a/paddle/framework/op_registry.h b/paddle/framework/op_registry.h
index 03b14ea021605147873e641561a11dd9618fd81d..bb23b6bf65d3fb182f706cc00647b87796995c0f 100644
--- a/paddle/framework/op_registry.h
+++ b/paddle/framework/op_registry.h
@@ -120,7 +120,6 @@ class OpProtoAndCheckerMaker {
 
 class OpRegistry {
   using OpCreator = std::function<OperatorBase*()>;
-  using VarIndexMap = std::unordered_map<std::string, int>;
   using VarNameMap = std::unordered_map<std::string, std::vector<std::string>>;
 
  public: