>>11432255In that case from personal experience, my most productive days (and nights) were when I didn't feel like sleeping and pulled an all nighter. In fact as I enter the second day, my thought process becomes much more smooth and the distraction disappears as if I've been meditating for 2 hours. I have a personal theory about this that your thought process is kinda like an optimization algorithm that descends towards the answer and the longer you spend doing that the lower it will go, with sleep resetting the process to square one plus a little bit of retained memories from yesterday which you use to reconstruct a new starting base that's slightly ahead. To explain this in a simpler way, imagine that your insight or mastery into a problem is x, then
>wake up (1x) -> do stuff (1.5x) -> go to sleep and wake up next day (1.1x) -> do stuff (1.6x)whereas not sleeping does this
>wake up (1x) -> do stuff (1.5x) -> keep doing stuff into second day (1.8x) -> go to sleep and wake up next day (1.4x)Eventually they will most likely even out in terms of productivity but the peak insights you'll have will never be in a day of regular sleep schedule. Your running and sprinting distances will eventually equalize due to the exhaustion and need to recover, but the highest speed you'll achieve will be when sprinting. In a lot of cases, variation like this is not only good but necessary to pierce through a mental wall.
Hopefully you get what I'm trying to say.