my car had the same problem it was a faulty fuel pump £1200 for the parts £600 for the labour ,i hope you have better luck than me.
Afraid not....
Get this - picked car up today, and to be fair Lexus agreed to pick up the tab under good will. I drove the car less than a mile, same fault came back!
Lexus re-examined the car, this time they came up with a faulty EGR valve and also said the oil was being burnt.
Prognosis - entire new engine!!!!!