Anyone have a GS3 running a stock ROM like Cyanogenmod? Battery question

Just curious as the GS3 has a 2100 mAh battery, the same capacity as the "rumoured" LG Nexus. Hows the battery life with such a big screen? This will probably be very comparable to the battery life of a the Nexus when running a stock ROM, so does your battery last all day for you? I'm coming from a GS2 (1650 mAh battery) that hardly ever makes it through the day even with the wonders of Cyanogenmod... Hoping 2100 mAh is enough