Here are a few things that you can try:
Uninstalling and reinstalling Origin (Your games will still be installed and all that)
Uninstalling and reinstalling the Sims 4 (Your saves will still be there)
Repairing the Sims 4 via Origin (Right-click the Sims 4 in your game library and click "Repair Game")
Clear the Sims 4 cache
Clear Origin's cache
I have sadly just completed doing all the things you have recommend and sadly I am in the same situation. Nothing has changed on my computer, I havent installed any new software or anything so I can understand while the all of a sudden problem. Any other games I have play fine, and most are much more demanding then this one. Not sure what to do here.
Could you try if you it works if you turn off Origin in game: http://sims4.crinrict.com/en/2014/09/deactivate-origin-in-game/
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