I'm working on a lamp scene following a tutorial (kind of like the Pixar intro). However, I've noticed a problem with the lighting. I have a large weak light (plane) that lights the scene, but when I have it active the light from the lamp object doesn't show up on the background plane hardly at all, unless I really crank up the samples (I've gone up to 4000 and it still looks not great).
I understand that it's harder to compute for multiple light sources, but in the past I haven't had these problems with Cycles. Then again I've never had to use such a harsh light. Is there any way I can fix this?