R is more than fast enough for straightforward prototypical analyses where a lot of the code is calling C or something lower level and you're not introducing something "new" to the interpreter system. But if you want to do some unusual optimization there's going to be something that bottlenecks everything unless you go into C/C++/Fortran yourself, and then Julia is a good compromise. I've had times when Julia didn't save any time whatsover, and other times when it took something that would literally run over a week at least in R and it was done in 30 minutes in Julia.

Having said that, the more I use Julia the more I find myself scratching my head about it. It's very elegant but it's just low-level enough that sometimes I wonder if it's worth it over, say, modern C++ or something similarly low level, which tends to have nice abstracted libraries that have accumulated over the years. I also have the general impression, mentioned in a controversial post discussed here on HN, that a lot of Julia libraries I've used just don't quite work for mysterious reasons I've never been able to figure out. Everything with Julia has gotten better with time but I still have this sense that I could put a lot of time into some codebase, and have it just hit a wall because of some dependency that's not operating as documented.

There's kind of an embarrassment of riches in numerical computing today, and yet I still have the feeling there's room for something else. Maybe that's the mythical golden language that's lured all sorts of language developers since the beginning though.