'word2vec - output probablity (hierarchical softmax)

I am using word2vec (CBOW) to get similarities of words in my own corpus. I am using hierarchical softmax, and now I want to get output probabilities for each word given context word.
Currently, I am calculating probabilities for each word using this softmax formula given in the image below, but it is not efficient.

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The hierarchical softmax optimizes this by using Huffman coding, I want to access these probabilities. Can anyone guide me on how can I access this using gensim? Note: The above images are taken from this article

enter image description here

word2vecsoftmaxprobability-distribution


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