diff --git a/doc/howto/dev/new_op_cn.md b/doc/howto/dev/new_op_cn.md
index 264b998f50df016da0741d97d4b26f759ee90900..9d3d02ffc3116ebec537ab9b890eafccad196ed0 100644
--- a/doc/howto/dev/new_op_cn.md
+++ b/doc/howto/dev/new_op_cn.md
@@ -285,41 +285,27 @@ class TestMulGradOp(GradientChecker):
             'Y': np.random.random((84, 100)).astype("float32")
         }
 
-    def test_cpu_gpu_compare(self):
-        self.compare_grad(self.op, self.inputs)
-
-    def test_normal(self):
+    def test_check_grad_normal(self):
         # mul op will enlarge the relative error
-        self.check_grad(
-            self.op, self.inputs, ["X", "Y"], "Out", max_relative_error=0.5)
+        self.check_grad(['X', 'Y'], 'Out', max_relative_error=0.5)
 
-    def test_ignore_x(self):
+    def test_check_grad_ingore_x(self):
         self.check_grad(
-            self.op,
-            self.inputs, ["Y"],
-            "Out",
-            max_relative_error=0.5,
-            no_grad_set={"X"})
+            ['Y'], 'Out', max_relative_error=0.5, no_grad_set=set("X"))
 
-    def test_ignore_y(self):
+    def test_check_grad_ingore_y(self):
         self.check_grad(
-            self.op,
-            self.inputs, ["X"],
-            "Out",
-            max_relative_error=0.5,
-            no_grad_set={"Y"})
+            ['X'], 'Out', max_relative_error=0.5, no_grad_set=set('Y'))
 ```
 
 下面解释代码中一些关键的地方:
 
 - 调用`create_op("mul")`创建反向Op对应的前向Op。
-- 调用`compare_grad`函数对比CPU、GPU计算结果。
-- `test_normal`中调用`check_grad`使用数值法检测梯度正确性和稳定性。
-  - 第一个参数`self.op` : 前向Op。
-  - 第二个参数`self.inputs` : 输入词典，词典的Key和`ProtoMaker`定义保持一致。
-  - 第三个参数`["X", "Y"]` : 指定对输入变量`X`、`Y`做梯度检测。
-  - 第四个参数`"Out"` : 指定前向网络最终的输出目标变量`Out`
-- `test_ignore_x`和`test_ignore_y`分支用来测试只需要计算一个输入梯度的情况。
+- `test_check_grad_normal`中调用`check_grad`使用数值法检测梯度正确性和稳定性。
+  - 第一个参数`["X", "Y"]` : 指定对输入变量`X`、`Y`做梯度检测。
+  - 第二个参数`"Out"` : 指定前向网络最终的输出目标变量`Out`。
+  - 第三个参数`max_relative_error`：指定检测梯度时能容忍的最大错误值。
+- `test_check_grad_ingore_x`和`test_check_grad_ingore_y`分支用来测试只需要计算一个输入梯度的情况。
 
 
 ### 编译和执行单元测试
diff --git a/doc/howto/dev/new_op_en.md b/doc/howto/dev/new_op_en.md
index bad1dbc1de9cc5bd11914fddf397857f0bda7976..57ff7caad19cc6bf2e4a052d306d4fc303c8875d 100644
--- a/doc/howto/dev/new_op_en.md
+++ b/doc/howto/dev/new_op_en.md
@@ -293,41 +293,27 @@ class TestMulGradOp(GradientChecker):
             'Y': np.random.random((84, 100)).astype("float32")
         }
 
-    def test_cpu_gpu_compare(self):
-        self.compare_grad(self.op, self.inputs)
-
-    def test_normal(self):
+    def test_check_grad_normal(self):
         # mul op will enlarge the relative error
-        self.check_grad(
-            self.op, self.inputs, ["X", "Y"], "Out", max_relative_error=0.5)
+        self.check_grad(['X', 'Y'], 'Out', max_relative_error=0.5)
 
-    def test_ignore_x(self):
+    def test_check_grad_ingore_x(self):
         self.check_grad(
-            self.op,
-            self.inputs, ["Y"],
-            "Out",
-            max_relative_error=0.5,
-            no_grad_set={"X"})
+            ['Y'], 'Out', max_relative_error=0.5, no_grad_set=set("X"))
 
-    def test_ignore_y(self):
+    def test_check_grad_ingore_y(self):
         self.check_grad(
-            self.op,
-            self.inputs, ["X"],
-            "Out",
-            max_relative_error=0.5,
-            no_grad_set={"Y"})
+            ['X'], 'Out', max_relative_error=0.5, no_grad_set=set('Y'))
 ```
 
 Some key points in the code above include:
 
 - `create_op("mul")` creates the backward operator's corresponding forward operator.
-- `compare_grad` compares results between utilizing the CPU and the GPU.
 - `test_normal` calls `check_grad` to validate scaling tests' correctness and stability through numeric methods.
-  - The first variable `self.op` denotes the forward operator.
-  - The second variable `self.inputs` denotes the input dictionary, which has its key value identical to its `ProtoMaker` definitions.
-  - The third variable `["X", "Y"]` appoints `X` and `Y` to be scale tested.
-  - The fourth variable `"Out"` points to the network's final output target `Out`.
-- `test_ignore_x` and `test_ignore_y`branches test the cases where there is only one scaling input.
+  - The first variable `["X", "Y"]` appoints `X` and `Y` to be scale tested.
+  - The second variable `"Out"` points to the network's final output target `Out`.
+  - The third variable `max_relative_error` points to the maximum relative tolerance error during scaling tests.
+- `test_check_grad_ingore_x` and `test_check_grad_ingore_y`branches test the cases where there is only one scaling input.
 
 ### Compiling and Running