Metro man
Longer layovers are often cheaper as they are less popular, avoiding timings used by business men will bring savings as well. An early afternoon midweek flight is virtually guaranteed to be cheaper than the 7.00am one on Monday morning
If at the start of my search, I enter a late afternoon DUB departure, the search engine will probably offer me a departure for the following morning as one of the options for the long haul section. Mind you, I did try that on the Lufthansa site, hoping for an overnight in Frankfurt, (used to live there. ) and and rather than Frankfurt it rerouted me through Munich.......
Have no flight over AMS in mind at the moment, as the next up is an overnight to BUE through Frankfurt.