If you’re trying to do creative work, you’ll actually have more luck when you’re more tired and your brain isn’t functioning as efficiently.
If you’re tired, your brain is not as good at filtering out distractions and focusing on a particular task. It’s also a lot less efficient at remembering connections between ideas or concepts. These are both good things when it comes to creative work, since this kind of work requires us to make new connections, be open to new ideas and think in new ways. So a tired, fuzzy brain is much more use to us when working on creative projects.
This Scientific American article explains how distractions can actually be a good thing for creative thinking:
Insight problems involve thinking outside the box. This is where susceptibility to “distraction” can be of benefit. At off-peak times we are less focused, and may consider a broader range of information. This wider scope gives us access to more alternatives and diverse interpretations, thus fostering innovation and insight.