[revorad]

This is often repeated by a lot of people, but I think it might be affected by a bias. Perhaps we notice more when we solve problems away from the keyboard because we are not supposed to be working then. Perhaps we selectively label those the trickiest even though we solve many more problems staring at the monitor trying really hard.

[dspillett]

There is certainly some confirmation bias going on in these reports, but I must say I sometimes find walking away from the problem for a short while (looking at something else, taking a relaxed lunch instead of eating at desk, just nipping out for a few minutes of fresh air, or just chatting to a colleague about something related or otherwise) can work wonders.

Sometimes a relevant idea will just come to me while I'm away (I carry a pencil and bit of paper for such occurrences, as it is very annoying to get back to my desk and forget the beneficial train of thought!), sometimes I'll hit the problem from a slightly different angle when I get back and find success that way.

I think mainly the difference is usually stress. Forcing your mind to think about a particular problem can drive you into a mental rut in which you think the same things over and over and get nowhere, getting more irritated at your lack of getting anywhere as time goes on which creates more stress and makes matters worse. At times like that inspiration is less likely to strike (or be recognised when it does). Having time to ponder a problem, consciously or otherwise, can be very fruitful.

This fits in quite nicely with the idea that the sleep pattern we've evolved is as much about rearranging what we've learnt and experienced while awake as it is about anything else (like the brain's DBA taking time to run DBCC REINDEX on everything so our thinking is more efficient the next day). It also tallies with the fact that some of the most successful people I know are generally more relaxed (and not just because they are more comfortable due to earlier success) than myself!