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n=nodes>0; n^0.5=(log n)^3, n~24128091.7 , which is millions not billions? https://www.wolframalpha.com/input/?i=sqrt%28n%29%3D%28log+n...


You're using natural log, for my quick-and-dirty I used log2, which gives a slightly higher crossover point. The exact crossover depends on the size of the constant term, of course.





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