Check http://benchmarksgame.alioth.debian.org/u64/compare.php?lang=v8&lang2=gpp this article to cross check the fact. Nodejs is fast in some aspects. I love it 😛
Doesn’t matter how much you improve your algorithm but c++ will outperform if you are running a sophisticated algorithm but one can push through imprecation.
Nodejs is based on V8 (Most ports), v8 based on C++, You must be already aware of that you can use C++ in nodejs – But it seems complex.
But it is not – It is easy to build a native extension & compile in seconds https://medium.com/@devlucky/how-to-get-a-performance-boost-using-node-js-native-addons-fd3a24719c85#.3uzqa9r4w this article does well in explaining basics. but if you want to dive deep check official documentation.
if you want a really explanatory presentation check https://ivanvergiliev.github.io/node-cpp/#opening.