Regarding the recent Phobos improvements that introduce a Timsort:

http://forum.dlang.org/thread/50c8a4e67f79_3fdd19b7ae8146...@sh3.rs.github.com.mail

I have found a blog post that compares the performance of Timsort, Smoothsort, and std::stable_sort:

http://www.altdevblogaday.com/2012/06/15/smoothsort-vs-timsort/

Bye,
bearophile

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