diff --git a/paddle/framework/backward_test.cc b/paddle/framework/backward_test.cc
index 9886679d309b74a23a3f4e85e70a7ceec32c3ca8..f3d2c8d54b4ea43e214ee1536d0d2230e634f89e 100644
--- a/paddle/framework/backward_test.cc
+++ b/paddle/framework/backward_test.cc
@@ -165,33 +165,12 @@ TEST(Backward, simple_op_not_need_grad) {
   auto fwd = f::OpRegistry::CreateOp("rowwise_add", {"X", "b"}, {"Out"}, {});
   ASSERT_NE(fwd, nullptr);
   auto gop = f::Backward(*fwd, {"X"});
-  LOG(INFO) << "full " << gop->DebugString();
-  ASSERT_NE(std::find(gop->outputs_.begin(), gop->outputs_.end(),
-                      std::string("X") + f::OperatorBase::GRAD_VAR_SUFFIX()),
+  ASSERT_EQ(std::find(gop->outputs_.begin(), gop->outputs_.end(),
+                      "X" + f::OperatorBase::GRAD_VAR_SUFFIX()),
             gop->outputs_.end());
 
   auto no_input_gop = f::Backward(*fwd, {"X", "b"});
-  LOG(INFO) << "no input gop " << gop->DebugString();
   ASSERT_NE(no_input_gop, nullptr);
-
-  typedef std::vector<std::string> Vec;
-  auto vector_equal = [](const Vec &l, const Vec &r) {
-    return l.size() == r.size();
-    for (size_t i = 0; i < l.size(); ++i) {
-      if (l[i] != r[i]) return false;
-    }
-    return true;
-  };
-  ASSERT_EQ(vector_equal(std::vector<std::string>{}, no_input_gop->outputs_),
-            true);
-  ASSERT_EQ(
-      vector_equal(
-          std::vector<std::string>{"Out" + f::OperatorBase::GRAD_VAR_SUFFIX()},
-          no_input_gop->inputs_),
-      true);
-  // auto no_output_gop = f::Backward(*fwd, {"Out"});
-  // ASSERT_EQ(std::vector<std::string>{"X" +
-  // f::OperatorBase::GRAD_VAR_SUFFIX(), "b"})
 }
 
 TEST(Backward, net_fc_backward_normal) {
@@ -251,6 +230,8 @@ TEST(Backward, net_input_of_network_not_need_grad) {
       bwd_net->outputs_.begin(), bwd_net->outputs_.end());
   all_output.erase(f::OperatorBase::EMPTY_VAR_NAME());
 
+  LOG(INFO) << bwd_net->DebugString();
+  LOG(INFO) << bwd_net->ops_.size();
   for (auto &out : {"W1", "b1", "hidden0", "W2", "b2"}) {
     ASSERT_NE(all_output.find(out + f::OperatorBase::GRAD_VAR_SUFFIX()),
               all_output.end());
@@ -264,6 +245,7 @@ TEST(Backward, net_input_of_network_not_need_grad) {
   ASSERT_TRUE(bwd_net->ops_[1]->IsNetOp());
   auto first_fc_grad = static_cast<f::NetOp *>(bwd_net->ops_[1].get());
   ASSERT_EQ(3UL, first_fc_grad->ops_.size());
+  LOG(INFO) << first_fc_grad->DebugString();
   ASSERT_EQ(f::OperatorBase::EMPTY_VAR_NAME(),
             first_fc_grad[2].Output("X" + f::OperatorBase::GRAD_VAR_SUFFIX()));
 }
@@ -333,7 +315,7 @@ TEST(Backward, op_part_of_output_are_not_need) {
 TEST(Backward, op_part_of_input_are_not_need) {
   auto fwd = f::OpRegistry::CreateOp("mul", {"a", "b"}, {"out"}, {});
   auto backward = f::Backward(*fwd, {"a"});
-  ASSERT_TRUE(backward->IsNetOp());
+  ASSERT_False(backward->IsNetOp());
   auto net = static_cast<f::NetOp *>(backward.get());
   ASSERT_EQ(net->ops_.size(), 1UL);