I have to agree with vektor that the whole ether explosion thing is a non-issue here.
I mentioned it only because the OP was asking about what diethyl ether contains, and most anhydrous grades contain a small amount of anti-oxidant to inhibit peroxide formation. The exception is chromatography grades which are not inhibited.
Ether peroxides only become a concern when a *large volume* of ether that contains peroxides is allowed to concentrate down. As vektor has said, this is mainly a problem when a large volume such as a full can of ether has been forgotten and dried down over a long period of time.
Explosives vary. TNT and such are "slow". They build large pressure differentials that result in strong shock/counter shock waves. Large destruction, large area. Ether peroxides are totally different. They are sharp, fast explosives. The technical term is "brisant". A brisant explosive has intense shattering force in a small area. Very, very dangerous to a chemist in the immediate vicinity who suffers burns glass fragments, maybe even limb loss if it were a major ether explosion. You don't bring the building down, you may burn it down though.
But ether explosions from distillations are pretty much ancient history.
The potential hazard is well known now, and any modern trained chemist knows that if a large quantity of ether needs to be distilled under anhydrous conditions immediately prior to a reaction it should be done with a proper technique. Don't know what the preferred method is these days, when I was a working chemist the standard technique was distillation under nitrogen or argon from LAH.
Ether from an immediate experiment on the other hand rarely presents a problem. Aqueous extractions by their nature remove the peroxide content. Most reactions performed in ethers typically do the same. Sure if you are using very old ether you might see side reactions, but the peroxides will almost certainly react with something. So the subsequent rotavapping down of a reaction workup (I would almost say never but I never say never) is rarely a potential problem.
Peroxides should still always be a consideration - I once was doing an LAH reduction in THF that I had to "scavenge" from another lab, something financially challenged grad students occasionally do. It was uninhibited HPLC grade THF long forgotten in the analytical lab.
I knew my solvents - very old, cyclic ether, uninhibited definitely means peroxides. I also knew my reactions, so I set things up, and very, very cautiously added extremely small amounts of LAH and as expected it reacted like crazy until the peroxides were destroyed, distilled it from a little excess LAH added after the reaction stopped, no problems.
A less cautious chemist might have just added the reaction amount of LAH and started at minimum a big fire and a possibly a face full of glass.
But for the most part, flammability, not peroxides is the primary hazard when working with ethers.
Whatever you do, but especially organic chemistry - know your tools, know your materials, know your craft.
