I very much doubt it will take much since it mostly allows a greater variety of pixels (colour and brightness) to be shown. It doesn't take much power to render those pixels. I don't believe I have seen regular PS4 games run worse because hdr was enabled. So I don't think it does since it simply allows more sorts of pixels being able to be rendered. The game itself isn't rendering them differently it might take a little on bandwith. Developers (sucker punch, naughty dog and guerilla games) said implying hdr is easy and non demanding.
Please excuse my (probally) poor grammar







