I haven't seen proper benchmarks but some time ago I wrote in D and OCaml basically the same simple program which read and parsed some text and performed some calculations, allocating a lot of temporary arrays or lists:
https://gist.github.com/2902247
https://gist.github.com/2922399
and OCaml version was 2 times faster than D (29 and 59 seconds on input file of 1 million lines). After disabling GC on reading/parsing stage and doing calculations without allocations and using std.parallelism I made D version work in 4.4 seconds.

And that makes it the "fastest GC ever made"?

One place where immutability really helps is in a generational GC: runtime needs to track all the pointers from old generation to the young generation, if most of the data is immutable there are not so many such pointers, this makes collection faster. When all data is immutable there is no such pointers at all, each object can only have pointers to older ones.

That's true. But you don't need to know about immmutability at compile time to get this benefit.

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