diff --git a/paddle/fluid/framework/ddim.cc b/paddle/fluid/framework/ddim.cc
index 97afd366387e9ba6476be59a4d73d53a38834d0e..05e423b8a52962d47a6615d48243444374b470e3 100644
--- a/paddle/fluid/framework/ddim.cc
+++ b/paddle/fluid/framework/ddim.cc
@@ -26,12 +26,15 @@ Dim<i> make_dim(const int64_t* d) {
 }
 
 template <>
-Dim<1> make_dim<1>(const int64_t* d) {
-  return Dim<1>(*d);
+Dim<0> make_dim<0>(const int64_t* d) {
+  return Dim<0>(*d);
 }
 
 void make_ddim(DDim& ddim, const int64_t* dims, int n) {
   switch (n) {
+    case 0:
+      ddim = make_dim<0>(dims);
+      break;
     case 1:
       ddim = make_dim<1>(dims);
       break;
@@ -190,7 +193,7 @@ struct VectorizeVisitor : public boost::static_visitor<> {
     this->operator()(t.tail);
   }
 
-  void operator()(const Dim<1>& t) { vector.push_back(t.head); }
+  void operator()(const Dim<0>& t) {}
 };
 /// @endcond
 
@@ -247,9 +250,8 @@ struct SliceVectorizeVisitor : public boost::static_visitor<> {
     }
   }
 
-  void operator()(const Dim<1>& dim) {
-    PADDLE_ENFORCE(end == 1, "End index in ddim slice is out of bound.");
-    vector.push_back(dim.head);
+  void operator()(const Dim<0>& dim) {
+    PADDLE_ENFORCE(end == 0, "End index in ddim slice is out of bound.");
   }
 };
 
diff --git a/paddle/fluid/framework/ddim.h b/paddle/fluid/framework/ddim.h
index 5aff10d3b95902fdb9fe432d9f31830304dd3d07..f05b5ee3faee856a41f1376e5952710b550e7c42 100644
--- a/paddle/fluid/framework/ddim.h
+++ b/paddle/fluid/framework/ddim.h
@@ -30,8 +30,8 @@ namespace framework {
  * The number of dimensions must be between [1, 9].
  */
 struct DDim {
-  typedef boost::variant<Dim<1>, Dim<2>, Dim<3>, Dim<4>, Dim<5>, Dim<6>, Dim<7>,
-                         Dim<8>, Dim<9>>
+  typedef boost::variant<Dim<0>, Dim<1>, Dim<2>, Dim<3>, Dim<4>, Dim<5>, Dim<6>,
+                         Dim<7>, Dim<8>, Dim<9>>
       DDimVar;
   DDimVar var;
 
diff --git a/paddle/fluid/framework/dim.h b/paddle/fluid/framework/dim.h
index 08b708006aadc4769bde7b37347ac1adfeca2bf7..8d288120e30035673be0ec5dc6230f607dfd1ebe 100644
--- a/paddle/fluid/framework/dim.h
+++ b/paddle/fluid/framework/dim.h
@@ -72,38 +72,36 @@ struct Dim {
 
 // Base case specialization
 template <>
-struct Dim<1> {
-  static constexpr int dimensions = 1;
+struct Dim<0> {
+  static constexpr int dimensions = 0;
 
   HOSTDEVICE
-  Dim(int64_t _head) : head(_head) {}
+  Dim(int64_t _head) {}
 
   HOSTDEVICE
-  Dim() : head(0) {}
+  Dim() {}
 
   HOSTDEVICE
-  Dim(int idx, const Dim<1>& size) : head(idx) {
+  Dim(int idx, const Dim<0>& size) {
 #ifndef __CUDA_ARCH__
-    if (idx >= size.head) {
+    if (idx > 0) {
       throw std::invalid_argument("Index out of range.");
     }
 #else
-    PADDLE_ASSERT(idx < size.head);
+    PADDLE_ASSERT(idx == 0);
 #endif
   }
 
   HOSTDEVICE
-  bool operator==(const Dim<1>& o) const { return (head == o.head); }
+  bool operator==(const Dim<0>& o) const { return true; }
 
   HOSTDEVICE
-  bool operator!=(const Dim<1>& o) const { return !(*this == o); }
+  bool operator!=(const Dim<0>& o) const { return false; }
 
   HOSTDEVICE
   int64_t& operator[](int idx);
   HOSTDEVICE
   int64_t operator[](int idx) const;
-
-  int64_t head;
 };
 
 namespace {
@@ -154,15 +152,14 @@ HOSTDEVICE int64_t& indexer(Dim<D>& dim, int idx) {
 }
 
 template <>
-HOSTDEVICE int64_t& indexer<1>(Dim<1>& dim, int idx) {
+HOSTDEVICE int64_t& indexer<0>(Dim<0>& dim, int idx) {
 #ifndef __CUDA_ARCH__
-  if (idx != 0) {
-    throw std::invalid_argument("Invalid index");
-  }
+  throw std::invalid_argument("Invalid index");
 #else
-  PADDLE_ASSERT(idx == 0);
+  PADDLE_ASSERT(false);
 #endif
-  return dim.head;
+  static int64_t head = 0;
+  return head;
 }
 
 template <int D>
@@ -181,15 +178,14 @@ HOSTDEVICE int64_t indexer(const Dim<D>& dim, int idx) {
 }
 
 template <>
-HOSTDEVICE int64_t indexer<1>(const Dim<1>& dim, int idx) {
+HOSTDEVICE int64_t indexer<0>(const Dim<0>& dim, int idx) {
 #ifndef __CUDA_ARCH__
-  if (idx != 0) {
-    throw std::invalid_argument("Invalid index");
-  }
+  throw std::invalid_argument("Invalid index");
 #else
-  PADDLE_ASSERT(idx == 0);
+  PADDLE_ASSERT(false);
 #endif
-  return dim.head;
+  static int64_t head = 0;
+  return head;
 }
 
 }  // namespace
@@ -218,12 +214,12 @@ HOSTDEVICE int64_t& Dim<l>::operator[](int i) {
 }
 
 // Dynamic access to constant Dim
-inline HOSTDEVICE int64_t Dim<1>::operator[](int i) const {
+inline HOSTDEVICE int64_t Dim<0>::operator[](int i) const {
   return indexer(*this, i);
 }
 
 // Dynamic access to mutable Dim
-inline HOSTDEVICE int64_t& Dim<1>::operator[](int i) {
+inline HOSTDEVICE int64_t& Dim<0>::operator[](int i) {
   return indexer(*this, i);
 }
 
@@ -251,8 +247,8 @@ HOSTDEVICE int64_t linearize(const Dim<i>& a, const Dim<i>& b) {
 // Base case dot product of two Dims
 // Notice it is inline because it is no longer a template
 template <>
-HOSTDEVICE inline int64_t linearize(const Dim<1>& a, const Dim<1>& b) {
-  return a.head * b.head;
+HOSTDEVICE inline int64_t linearize(const Dim<0>& a, const Dim<0>& b) {
+  return 0;
 }
 
 // Product of a Dim
@@ -264,8 +260,8 @@ HOSTDEVICE int64_t product(const Dim<i>& a, int prod = 1) {
 // Base case product of a Dim
 // Notice it is inline because it is no longer a template
 template <>
-HOSTDEVICE inline int64_t product(const Dim<1>& a, int prod) {
-  return prod * a.head;
+HOSTDEVICE inline int64_t product(const Dim<0>& a, int prod) {
+  return prod;
 }
 
 // Is 0 <= idx_i < size_i for all i?
@@ -278,8 +274,8 @@ HOSTDEVICE bool contained(const Dim<i>& idx, const Dim<i>& size) {
 // Base case of is 0 <= idx_i < size_i ?
 // Notice it is inline because it is no longer a template
 template <>
-HOSTDEVICE inline bool contained(const Dim<1>& idx, const Dim<1>& size) {
-  return ((0 <= idx.head) && (idx.head < size.head));
+HOSTDEVICE inline bool contained(const Dim<0>& idx, const Dim<0>& size) {
+  return true;
 }
 
 /**
@@ -294,8 +290,8 @@ HOSTDEVICE Dim<i> ex_prefix_mul(const Dim<i>& src, int mul = 1) {
 // Base case of ex_prefix_mul
 // Notice it is inline because it is no longer a template
 template <>
-HOSTDEVICE inline Dim<1> ex_prefix_mul(const Dim<1>& src, int mul) {
-  return Dim<1>(mul);
+HOSTDEVICE inline Dim<0> ex_prefix_mul(const Dim<0>& src, int mul) {
+  return Dim<0>();
 }
 ///\endcond
 
@@ -309,8 +305,8 @@ HOSTDEVICE Dim<i> dim_plus(const Dim<i>& a, const Dim<i>& b) {
 
 // Base case
 template <>
-HOSTDEVICE inline Dim<1> dim_plus(const Dim<1>& a, const Dim<1>& b) {
-  return Dim<1>(a.head + b.head);
+HOSTDEVICE inline Dim<0> dim_plus(const Dim<0>& a, const Dim<0>& b) {
+  return Dim<0>();
 }
 
 template <int i>
@@ -328,8 +324,8 @@ HOSTDEVICE Dim<i> dim_mult(const Dim<i>& a, const Dim<i>& b) {
 
 // Base case
 template <>
-HOSTDEVICE inline Dim<1> dim_mult(const Dim<1>& a, const Dim<1>& b) {
-  return Dim<1>(a.head * b.head);
+HOSTDEVICE inline Dim<0> dim_mult(const Dim<0>& a, const Dim<0>& b) {
+  return Dim<0>();
 }
 
 template <int i>
@@ -356,10 +352,9 @@ HOSTDEVICE Dim<i> normalize_strides(const Dim<i>& size, const Dim<i>& stride) {
 ///\cond HIDDEN
 
 template <>
-HOSTDEVICE inline Dim<1> normalize_strides(const Dim<1>& size,
-                                           const Dim<1>& stride) {
-  int norm_stride = size.head == 1 ? 0 : stride.head;
-  return Dim<1>(norm_stride);
+HOSTDEVICE inline Dim<0> normalize_strides(const Dim<0>& size,
+                                           const Dim<0>& stride) {
+  return Dim<0>();
 }
 
 ///\endcond
@@ -394,6 +389,10 @@ typename std::enable_if<(i == 1), std::ostream&>::type operator<<(
   return os;
 }
 
+inline std::ostream& operator<<(std::ostream& os, const Dim<0>& d) {
+  return os;
+}
+
 template <int i>
 HOST std::string Dim<i>::to_string() const {
   std::stringstream stream;
diff --git a/paddle/fluid/operators/detail/strided_memcpy.h b/paddle/fluid/operators/detail/strided_memcpy.h
index bac5cdc99c0133b1e6da3f6a23bc0512ca4177f5..0b7c470fe72eb4270b8d5b2d227642d85683c16d 100644
--- a/paddle/fluid/operators/detail/strided_memcpy.h
+++ b/paddle/fluid/operators/detail/strided_memcpy.h
@@ -24,6 +24,29 @@ namespace detail {
 template <typename T, int Rank>
 struct StridedMemcpyFunctor;
 
+template <typename T>
+struct StridedMemcpyFunctor<T, 0> {
+  void operator()(const platform::DeviceContext& dev_ctx, const T* src,
+                  framework::Dim<0> src_stride, framework::Dim<0> dst_dim,
+                  framework::Dim<0> dst_stride, T* dst) const {
+    auto place = dev_ctx.GetPlace();
+    if (platform::is_cpu_place(place)) {
+      auto& cpu_place = boost::get<platform::CPUPlace>(place);
+      memory::Copy(cpu_place, dst, cpu_place, src, sizeof(T));
+    } else {
+#ifdef PADDLE_WITH_CUDA
+      auto& gpu_place = boost::get<platform::CUDAPlace>(place);
+      auto& cuda_ctx =
+          reinterpret_cast<const platform::CUDADeviceContext&>(dev_ctx);
+      memory::Copy(gpu_place, dst, gpu_place, src, sizeof(T),
+                   cuda_ctx.stream());
+#else
+      PADDLE_THROW("Paddle is not compiled with GPU");
+#endif
+    }
+  }
+};
+
 template <typename T>
 struct StridedMemcpyFunctor<T, 1> {
   void operator()(const platform::DeviceContext& dev_ctx, const T* src,
diff --git a/paddle/fluid/operators/elementwise_op.h b/paddle/fluid/operators/elementwise_op.h
index 06bcd0be646e7dff72b46b1c9031464de21b3c6a..fe31bbaed44fced68b7b51dd2c2031950ec4247d 100644
--- a/paddle/fluid/operators/elementwise_op.h
+++ b/paddle/fluid/operators/elementwise_op.h
@@ -65,12 +65,17 @@ smaller than or equal to the dimensions of $X$.
 
 There are two cases for this operator:
 1. The shape of $Y$ is same with $X$;
-2. The shape of $Y$ is a subset of $X$.
+2. The shape of $Y$ is a congiguous subsequencet of $X$. The trailing dimensions
+   of size 1 for $Y$ will be ignored for the consideration of subsequence.
+
 
 For case 2:
+
 $Y$ will be broadcasted to match the shape of $X$ and axis should be
 set to index of the start dimension to broadcast $Y$ onto $X$.
 
+If axis is -1, it is treated as axis=rank(X)-rank(Y).
+
 For example
   .. code-block:: python
 
@@ -79,6 +84,7 @@ For example
     shape(X) = (2, 3, 4, 5), shape(Y) = (4, 5)
     shape(X) = (2, 3, 4, 5), shape(Y) = (3, 4), with axis=1
     shape(X) = (2, 3, 4, 5), shape(Y) = (2), with axis=0
+    shape(X) = (2, 3, 4, 5), shape(Y) = (2, 1), with axis=0
 
 Either of the inputs $X$ and $Y$ or none can carry the LoD (Level of Details)
 information. However, the output only shares the LoD information with input $X$.
diff --git a/paddle/fluid/operators/elementwise_op_function.h b/paddle/fluid/operators/elementwise_op_function.h
index 600524936b079fb59e4774f477d272d92c06bdf9..ffda53a383ced411415e528886a23f28f6a62648 100644
--- a/paddle/fluid/operators/elementwise_op_function.h
+++ b/paddle/fluid/operators/elementwise_op_function.h
@@ -62,6 +62,19 @@ inline void get_mid_dims(const framework::DDim& x_dims,
   }
 }
 
+inline void trim_trailing_singular_dims(framework::DDim& dims) {
+  // Remove trailing dimensions of size 1 for y
+  auto actual_dims_size = dims.size();
+  for (; actual_dims_size != 0; --actual_dims_size) {
+    if (dims[actual_dims_size - 1] != 1) break;
+  }
+  if (actual_dims_size != dims.size()) {
+    auto actual_dims = framework::vectorize(dims);
+    actual_dims.resize(actual_dims_size);
+    dims = framework::make_ddim(actual_dims);
+  }
+}
+
 template <typename T, typename DeviceContext>
 class RowwiseTransformIterator;
 template <typename T, typename DeviceContext>
@@ -264,44 +277,6 @@ class TransformFunctor {
     }                                                                          \
   }
 
-template <class functor, typename DeviceContext, typename T>
-void ElementwiseCompute(const framework::ExecutionContext& ctx) {
-  using Tensor = framework::Tensor;
-
-  auto* x = ctx.Input<Tensor>("X");
-  auto* y = ctx.Input<Tensor>("Y");
-  auto* z = ctx.Output<Tensor>("Out");
-  z->mutable_data<T>(ctx.GetPlace());
-
-  auto x_dims = x->dims();
-  auto y_dims = y->dims();
-  PADDLE_ENFORCE_GE(x_dims.size(), y_dims.size(),
-                    "Rank of first input must >= rank of second input.");
-
-  if (x_dims == y_dims) {
-    functor f;
-    f.template Run<DeviceContext, T>(x, y, z, ctx);
-    return;
-  }
-
-  int axis = ctx.Attr<int>("axis");
-  axis = (axis == -1 ? x_dims.size() - y_dims.size() : axis);
-  PADDLE_ENFORCE(axis >= 0 && axis < x_dims.size(),
-                 "Axis should be in range [0, x_dims)");
-
-  int pre, n, post;
-  get_mid_dims(x_dims, y_dims, axis, pre, n, post);
-  if (post == 1) {
-    functor f;
-    f.template RunBroadCast<DeviceContext, T>(x, y, z, ctx, pre, n);
-    return;
-  } else {
-    functor f;
-    f.template RunBroadCast2<DeviceContext, T>(x, y, z, ctx, pre, n, post);
-    return;
-  }
-}
-
 #define EIGEN_ADD(x, y) ((x) + (y))
 EIGEN_FUNCTOR(Add, EIGEN_ADD);
 
@@ -496,14 +471,10 @@ void ElemwiseGradCompute(const framework::ExecutionContext& ctx,
     auto x_dim = x.dims();
     auto y_dim = y.dims();
 
-    if (y_dim.size() == 1 && y_dim[0] == 1) {
-      // y is a scalar
-      auto extended_dims = framework::vectorize(x_dim);
-      extended_dims.push_back(1);
-      x_dim = framework::make_ddim(extended_dims);
-    }
-
     axis = (axis == -1 ? x_dim.size() - y_dim.size() : axis);
+    trim_trailing_singular_dims(y_dim);
+    axis = (y_dim.size() == 0) ? x_dim.size() : axis;
+
     int pre, n, post;
     get_mid_dims(x_dim, y_dim, axis, pre, n, post);
     if (post == 1) {
@@ -571,14 +542,9 @@ void ElementwiseGradCompute(const framework::ExecutionContext& ctx,
     return;
   }
 
-  if (y_dims.size() == 1 && y_dims[0] == 1) {
-    // y is a scalar
-    auto extended_dims = framework::vectorize(x_dims);
-    extended_dims.push_back(1);
-    x_dims = framework::make_ddim(extended_dims);
-  }
-
   axis = (axis == -1 ? x_dims.size() - y_dims.size() : axis);
+  trim_trailing_singular_dims(y_dims);
+  axis = (y_dims.size() == 0) ? x_dims.size() : axis;
 
   int pre, n, post;
   get_mid_dims(x_dims, y_dims, axis, pre, n, post);
@@ -613,16 +579,11 @@ void ElementwiseComputeEx(const framework::ExecutionContext& ctx,
     return;
   }
 
-  if (y_dims.size() == 1 && y_dims[0] == 1) {
-    // y is a scalar
-    auto extended_dims = framework::vectorize(x_dims);
-    extended_dims.push_back(1);
-    x_dims = framework::make_ddim(extended_dims);
-  }
-
   axis = (axis == -1 ? x_dims.size() - y_dims.size() : axis);
   PADDLE_ENFORCE(axis >= 0 && axis < x_dims.size(),
                  "Axis should be in range [0, x_dims)");
+  trim_trailing_singular_dims(y_dims);
+  axis = (y_dims.size() == 0) ? x_dims.size() : axis;
 
   int pre, n, post;
   get_mid_dims(x_dims, y_dims, axis, pre, n, post);
diff --git a/python/paddle/fluid/executor.py b/python/paddle/fluid/executor.py
index e2749593057067ec04284940fff8f6a5284806ef..e5fb0e5d628b2df14355aec2718cf46aa641b6cf 100644
--- a/python/paddle/fluid/executor.py
+++ b/python/paddle/fluid/executor.py
@@ -14,7 +14,7 @@
 
 import numpy as np
 import contextlib
-from framework import Program, default_main_program
+from framework import Program, default_main_program, Variable
 from . import core
 
 __all__ = [
@@ -281,6 +281,8 @@ class Executor(object):
 
         if not has_fetch_operators(global_block, fetch_list, fetch_var_name):
             for i, var in enumerate(fetch_list):
+                assert isinstance(var, Variable) or isinstance(var, str), (
+                    "Wrong type for fetch_list[%s]: %s" % (i, type(var)))
                 global_block.append_op(
                     type='fetch',
                     inputs={'X': [var]},
diff --git a/python/paddle/fluid/layers/math_op_patch.py b/python/paddle/fluid/layers/math_op_patch.py
index faccc3ddf827e4211c9f2e61da7138e5d43f1d11..08a0184c2c2ad5f3c3792fd0a12f0ab0c746849b 100644
--- a/python/paddle/fluid/layers/math_op_patch.py
+++ b/python/paddle/fluid/layers/math_op_patch.py
@@ -1,11 +1,11 @@
 #   Copyright (c) 2018 PaddlePaddle Authors. All Rights Reserved.
-# 
+#
 # Licensed 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.
@@ -53,12 +53,22 @@ def monkey_patch_variable():
         value = float(value)
         tmp_name = unique_tmp_name()
         var = ref_var.block.create_var(name=tmp_name, dtype=dtype)
+        batch_dim = -1
+        for i, d in enumerate(ref_var.shape):
+            if d < 0:
+                batch_dim = i
+                break
+        assert batch_dim != -1
         ref_var.block.append_op(
             type='fill_constant_batch_size_like',
             outputs={'Out': [var]},
             inputs={'Input': [ref_var]},
-            attrs={'shape': ref_var.shape,
-                   'value': value})
+            attrs={
+                'shape': ref_var.shape,
+                'value': value,
+                'input_dim_idx': batch_dim,
+                'output_dim_idx': batch_dim
+            })
         return var
 
     def astype(self, dtype):
@@ -118,11 +128,20 @@ def monkey_patch_variable():
             tmp_name = unique_tmp_name()
             out = self.block.create_var(name=tmp_name, dtype=lhs_dtype)
 
+            axis = -1
+            if other_var.shape[0] == -1:
+                axis = 0
+            assert len(self.shape) >= len(other_var.shape), (
+                "The rank of the first argument of an binary operator cannot "
+                "be smaller than the rank of its second argument: %s vs %s" %
+                (len(self.shape), len(other_var.shape)))
+
             self.block.append_op(
                 type=op_type,
                 inputs={'X': [self],
                         'Y': [other_var]},
-                outputs={'Out': out})
+                outputs={'Out': out},
+                attrs={'axis': axis})
             return out
 
         comment = OpProtoHolder.instance().get_op_proto(op_type).comment
@@ -131,7 +150,7 @@ def monkey_patch_variable():
         {0}
         Args:
             self(Variable): left hand variable
-            other_var(Variable|float|int): right hand variable 
+            other_var(Variable|float|int): right hand variable
 
         Returns:
             Variable
diff --git a/python/paddle/fluid/tests/unittests/test_elementwise_add_op.py b/python/paddle/fluid/tests/unittests/test_elementwise_add_op.py
index c8e930dad762b867d0148ebcdb3637b8cc9560ce..5b2384e94d788342c692fcb8e33f3a2ff663ab53 100644
--- a/python/paddle/fluid/tests/unittests/test_elementwise_add_op.py
+++ b/python/paddle/fluid/tests/unittests/test_elementwise_add_op.py
@@ -50,6 +50,16 @@ class TestElementwiseAddOp_scalar(TestElementwiseOp):
         self.outputs = {'Out': self.inputs['X'] + self.inputs['Y']}
 
 
+class TestElementwiseAddOp_scalar2(TestElementwiseOp):
+    def setUp(self):
+        self.op_type = "elementwise_add"
+        self.inputs = {
+            'X': np.random.rand(2, 3, 4).astype(np.float32),
+            'Y': np.random.rand(1, 1).astype(np.float32)
+        }
+        self.outputs = {'Out': self.inputs['X'] + self.inputs['Y']}
+
+
 class TestElementwiseAddOp_Vector(TestElementwiseOp):
     def setUp(self):
         self.op_type = "elementwise_add"
@@ -115,6 +125,20 @@ class TestElementwiseAddOp_broadcast_3(TestElementwiseOp):
         }
 
 
+class TestElementwiseAddOp_broadcast_4(TestElementwiseOp):
+    def setUp(self):
+        self.op_type = "elementwise_add"
+        self.inputs = {
+            'X': np.random.rand(2, 3, 4, 5).astype(np.float32),
+            'Y': np.random.rand(2, 1).astype(np.float32)
+        }
+
+        self.attrs = {'axis': 0}
+        self.outputs = {
+            'Out': self.inputs['X'] + self.inputs['Y'].reshape(2, 1, 1, 1)
+        }
+
+
 class TestElementwiseAddOp_rowwise_add_0(TestElementwiseOp):
     def setUp(self):
         self.op_type = "elementwise_add"
diff --git a/python/paddle/fluid/tests/unittests/test_math_op_patch.py b/python/paddle/fluid/tests/unittests/test_math_op_patch.py
index 6864d271e795026d59525e9f1e4d86e32df980bf..852a80261e02f5ed19e7fbe608d490be1f7798a9 100644
--- a/python/paddle/fluid/tests/unittests/test_math_op_patch.py
+++ b/python/paddle/fluid/tests/unittests/test_math_op_patch.py
@@ -1,11 +1,11 @@
 #   Copyright (c) 2018 PaddlePaddle Authors. All Rights Reserved.
-# 
+#
 # Licensed 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.
@@ -23,13 +23,21 @@ class TestMathOpPatches(unittest.TestCase):
     def test_add_scalar(self):
         a = fluid.layers.data(name="a", shape=[1])
         b = a + 10
+        ab = fluid.layers.concat(input=[a, b], axis=1)
+        c = ab + 10
+        d = ab + a
+        # e = a + ab
         place = fluid.CPUPlace()
         exe = fluid.Executor(place)
         a_np = numpy.random.random(size=[10, 1]).astype('float32')
-        b_np = exe.run(fluid.default_main_program(),
-                       feed={"a": a_np},
-                       fetch_list=[b])
+        b_np, c_np, d_np = exe.run(fluid.default_main_program(),
+                                   feed={"a": a_np},
+                                   fetch_list=[b, c, d])
         self.assertTrue(numpy.allclose(a_np + 10, b_np))
+        ab_np = numpy.concatenate([a_np, b_np], axis=1)
+        self.assertTrue(numpy.allclose(ab_np + 10, c_np))
+        d_expected = ab_np + numpy.concatenate([a_np, a_np], axis=1)
+        self.assertTrue(numpy.allclose(d_expected, d_np))
 
     @decorators.prog_scope()
     def test_radd_scalar(self):