Hi not really an expert but used to own a Lovelife Corolla, from my experience ganyan din. Every morning and after parking it for a whole day sa office especially when the headlights are on and braking for humps, definitely mamamatay and engine ko nun. I tried everything and nakita ko sa internet na baka IAC daw. Didn't help. Anyways, the culprit in my case was a torn rubber hose coming from the Air Intake metal thing sa liked hung cylinder head(?)(not sure what it's called sorry) going to the back of the engine. Try to ask a mechanic kung may mga tears or something. After this was replaced, my idle was back to normal and fuel consumption improved din. Hope this helps bro!