I have an early 2011 mbb i7 2.3GHz QM with AMD 6750M and Intell 3000 HD and had the same problem and it appears to be 100% corrected.
Not long ago, over about a 5 week period, my early 2011 mbp's performance started nosediving, then the split screen, other screens, no login prompt, blue screen, etc. Then there was zapping the PRAM, resetting the SMC, etc. sometimes with success and sometimes without but even the successful boots were short-lived. Now prior to that 5 week period, for months I was having performance issues have to force quit processes, etc.
The last few days of it going south were the worst and the last day no matter what I tried I could not get the mbp to boot up. Then came the fix which had nothing directly to do with Apple's claims.
I have to assume the fix was proper because I've yet to encounter a single issue with any current performance issues being almost negligible, the cooling fans rarely turn on and when or if they do, it's always low rpm and quiet. I've watched long and short videos, burned a few high-rez 192/24 cd's while listening to an iTunes podcast, written emails, etc and I've not once encountered another freeze or bad screen of any sort. And though I've never consider this mbp's performance as stellar, the performance today is perhaps as stellar as it's ever been. More importantly, my confidence in my mbp has been restored in full as I'm typing on it now with numerous windows and browser pages open and Outlook open without any fear whatsoever of a split or frozen screen and frozen mbp.
I have over 30 years in the IT profession, mostly Oracle and Unix, and though I've never claimed to be the sharpest tool in any shed, I can confidently say what the problem is not, where the problem is, and that a proper fix should cost pennies on the dollar when compared to the cost of replacing or even re-balling a logic board.
This is not to say that the problem won't reoccur someday. I certainly cannot guarantee that. But even if it dropped dead tonight, that should not change where the problem isn't and where it most likely is and I should still be able to demonstrate these matters with the same confidence.
Although I'm always willing to help my fellow man, I see no reason why I should give this away freely, especially when so much is at stake. Hence, I emailed Apple to offer a proposal that if I could demonstrate what the problem isn't and what the problem is so that Apple's technicians could zero in quickly on the exact spot, he would honor my request.
Recently I was contacted by Corporate Executive Relations Jessica H. who thought I should freely provide what information I have. The call ended with Jessica saying, if you change your mind, please contact me and I said likewise. I then followed up with one more email (which Jessica will probably read first) just to update him and remind him ever so respectfully that we live in a capitalist society, not a socialist society.
Anyway, if they should change their minds I'm confident I can fulfill my part of the agreement, even though there's always the chance I, just like any major corporation, could be wrong. I actually thought they would have welcomed my proposal. But I guess they want me to play socialist while they play capitalist.
Forgot to mention that prior to the fix, whenever I used to click on the Autoswitching for graphics card in Energy Saver, it was always instant freeze and death. Not any more. Additionally, no more bursting with the mouse pointer or when scrolling down pages. Just smooth cursor movement and scrolling.
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