Bitcoin mining is a nice "comparison" between the flops of Nvidia and AMD... at least it was, half a year ago, as I am not sure of todays numbers. Back then, even the highest end NVidia GPUs couldn't hold a candle against my meager 5650 in my laptop. Though, the calculations needed for Bitcoin mining probably do favor AMD to a large margin, hence they are much faster.
Does this translate to better gaming performance? Hell no, but neither is a motorcycle a good choice for a Stock Car Race...
For that matter something like Furmark (which, is a big furry rotating donut aka real world shading in action aka somewhat game applicable) is also dominated by AMD.
There are definitely examples in the real world that AMD cards just had (have?) a lot more brute math force.