Sorry, but had to point out that Einstein was probably not the source of this quote. For two reasons: I can't find a single source of him actually saying it, and doing the same thing over and over and expecting different results is the foundation of rigor in science and leads to its self-correcting ways.
Extremely off-topic, but:
I'm not 100% sure on the origin of the quote; I just remembered the quote itself, and googled it. Top three results tell me Einstein, so I just sort of took it.
Also: I partially disagree with your assessment of science there. You don't do the exact same thing over and over again, you're often tweaking the experiment a bit to have (even if slightly) different variables. However, when things aren't exactly going right, to go back to the original experiment to re-evaluate what happened would be wise, and is what many scientists do. So, you're right in a sense, but I disagree with the generalisation.
Besides,
"Sanity is for the weak!"
- (Believe that comes from Warhammer 40 000, some Chaos character)
Edit:
If an experiment is set up correctly each time it is done, yes (not counting the probabilities in quantum mechanics). However, if someone does a crappy experiment, let's say he/she didn't clean out the testing facility for quite some time and something started growing in the testing apparatus, then proclaims a new discovery based on the experiment, should no one be skeptical of his/her claims and reproduce the experiment several times over to find out what whether something went wrong or whether it was a true discovery?
This is exactly what I meant above. It's done time after time (when there's a major claim, and/or if there's scepticism in an area, usually), but not nearly as much as, say, your average speedcuber solving a cube. That being said, experiments generally cost money.