The creative act always requires a stepping back. It's called the incubation period. The incubation period - one of the four phases of creativity - is when you're not consciously thinking of a problem, and you're letting it marinate. So this is why you hear time and again, people saying they had that "Eureka" moment in the bath, like Archimedes, or in the shower, or while going for a walk or in a coffeehouse.
Notwithstanding my grandmother's long and faithful service to her owners, not one of her children escaped the auction block. These God-breathing machines are no more, in the sight of their masters, than the cotton they plant, or the horses they tend.