larroy commented on a change in pull request #15120: [bug] fix higher grad log 
URL: https://github.com/apache/incubator-mxnet/pull/15120#discussion_r290528016
 
 

 ##########
 File path: src/operator/tensor/elemwise_unary_op_basic.cc
 ##########
 @@ -1074,16 +1074,19 @@ 
MXNET_OPERATOR_REGISTER_BINARY_WITH_SPARSE_CPU_DR(_backward_log,
   [](const nnvm::NodePtr& n, const std::vector<nnvm::NodeEntry>& ograds) {
     // For f(x) -> f = log
     // f''(x) = -1 * (f'(x) * f'(x))
-    auto gx = nnvm::NodeEntry{n};
+    auto gx_mul_head_grads = nnvm::NodeEntry{n};  // f'(x) * head_grads
+    auto head_grads = nnvm::NodeEntry{n->inputs[0]};
+    auto g_lx = MakeNode("reciprocal", n->attrs.name + "_backward_log_grad",
 
 Review comment:
   can we add a comment about the inputs?  it would help reason about the code. 
 Are the inputs
   - [0]: ograd
   - [1]: f(x)
   
   ?

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