I think SEPA transfers are supposed to be at least as fast as local transfers, so banks here in Germany will usually take 3 days for SEPA transfers. (IIRC, I read this in wikipedia, if you want to verify it.)
Wrong, I sent many SEPA transfers from Germany to other EU countries, and 95% of them appeared on the other account the next day in the afternoon.
In fact when I send a transfer from my one German account to the other in a different bank it appears there the next day in the morning.
So SEPA is a bit slower then national German transfer (arrival in the afternoon instead of morning).
You don't verify things by reading about it in Wikipedia. You verify things by doing them yourself and checking the result.
In that case you're lucky with your bank. Mine takes three days, both for normal local transfers and SEPA transfers. Which kind of verifies my memory...