Turn off Hardware acceleration. see if that stops the crashing.
Latest origin update ~20-30 hours ago causes BL/browser to crash when a new battle report becomes available (don't think it affects everyone but quite a large number) - if you were getting it before 2-3 days ago though it wasn't that. Dunno if it still helps but I found that closer to release having hardware acceleration off in the browser resulted in BF4 running a bit more stable but I think one of the updates fixed that.
Cheers, I'll try turning off h/w acceleration and see if it helps. Can't remember exactly when it started in relation to crashes but I think around the time of the first Mantle update FF updated to v27 and I noticed it leaking memory and would crash after a few hours. But recently it does seem to crash at the end of each round and occasionally for what seems like no real reason with just the BL open and BF4 not even running.
I've submitted a couple of crash reports for FF but am just using Chrome in the meantime but will try with h/w accl off.