What I suggest you is to take a look at the Intel MKL benchmark suit
Here one can find binaries for Windows, Linux and Mac OS. When solving linear system of equations, it estimates FLOPs. The information is given as,
=================== Timing linear equation system solver ===================
Size LDA Align. Time(s) GFlops Residual Residual(...
I remember that around 2010 to 2012, AMD had always a greater portion of GPU core units able to perform FP32 computations (1 out of 2 cores), whereas consumer grade Nvidia cards had a lower ratio (1 to 8). I guess this is still the same kind of problematic.