Strangely, when I Alt-Tab Crysis 3 I get better performance after I give Crysis 3 focus again. I'm seeing an increase of around 10 fps or ~20%. I don't notice any change graphically, and when I record my screen my recordings come out smoother after alt-tabing.
I'm using GTX 480 SLI at 754 MHz, and a 2600k at 4.2GHz, all Max settings with SMAA (MGPU) antialiasing. I'm really curious what causes this, or if there is a fix so that I won't have to alt-tab every game.
Try a borderless full screen window ( the first google search result gives several techniques ). The Crysis 3 specific method ( Thanks to Blutaar666 ) is to set r_fullscreenwindow = 1 in the console or use the CVar configurator tool to do the same.
See Blutaar666's post for more information about improving your graphical performance :
http://secure.gamesas.com/forums/viewtopic.php?f=65&t=59554&p=606271#p606271