The thing to do, is to not only gradually add RPM and load, but also duration over a period of time. So, start out slowly, throttle up lightly, hold for 10 seconds, and then let your car coast. Keep doing that several times, and then increase the amount of time you hold your engine at one speed. Keep increasing, throttle, time, and load, a bit at a time, until your engine is broke in. You can tell when that happens because your engine will rock backwards slightly when shut down. If the crank stops dead, it's not broke in.
What's actually happening during break in:
As you apply load, the piston rings will bit into the cylinder wall and knock off any high spots. Coasting will help to polish those areas smooth and then you can keep doing that until the cylinders are mated to the rings. Driving around a town on quiet streets is much better than taking it out and driving at one prolonged high speed. It can take longer than you might expect to break in your engine.