Working overtime doesn't increase your output. It makes you stupid.
Which is where sleep comes in. Although we might all like to imagine that we can work happily through the night, once again the data's all against us. Lose just one night's sleep and your cognitive capacity is roughly the same as being over the alcohol limit. Yet we regularly hail as heroes the executives who take the red eye, jump into a rental car, and zoom down the highway to the next meeting. Would we, I wonder, be so impressed if they arrived drunk?
The reason sleep is so important is because fatigue isn't simple. When we are tired, our performance doesn't degrade equally. Instead, when you lose a night's sleep, the parietal and occipital lobes in your brain become less active. The parietal lobe integrates information from the senses and is involved in our knowledge of numbers and manipulation of objects. The occipital lobe is involved in visual processing. So the parts of our mind responsible for understanding the world and the data around us start to slow down. This is because the brain is prioritizing the thalamus—the part of your brain responsible for keeping you awake. In evolutionary terms, this makes sense. If you're driven to find food, you need to stay awake and search, not compare recipes.