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What is the optimal runtime of tfa?

I know that there was a question if tfa is slow compared to tfidf, however, the question did not include the value of k, m, etc.
The wikipedia article on tfa only mentions that it is “between kmeans and tfidf, but with a faster execution”, however, it does not include the actual runtime of the algorithm.
Is there a summary of the actual algorithm-runtime of tfa somewhere?

In order to be able to benchmark tfa you need to know the runtime of the k-means++ run first.
In Michael A. Osborne, David Gries and Paul W. Roberts’s book Modern Information Retrieval: The TREC Format and Evaluation Method they have a section in which they explain the actual runtime of the k-means++ algorithm on different data sets. The numbers they provide should be really reliable.
Here they show that the k-means++ is “the least time consuming algorithm” in the data sets they used (click to enlarge):

The tfa implementation uses the k-means++ code base and uses the same parameters in the k-means++ (I guess all parameters have their default value) which makes it

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