What should *not* go in an ultrasonic cleaner? And why?

So, a few months ago, I bought one of the magnasonic ultrasonic cleaners that people were recommending here. And I have to admit that I used it to clean *everything*. Ok, not my pearls, but all of my gemstone jewelry, including some cocktail rings that I have. This includes a blue topaz, a yellow 'emerald' - sold under the brand name emeryl, which I know is either a heliodor or a yellow beryl (and yes, I had too many cocktails on a cruise ship and it was really pretty, so there you have it), and a tanzanite. All of my rings are quite large (several carats). I've also been doing all of my diamond jewelry in there too. Only today I came across a website suggesting that I shouldn't be putting my tanzanite in there, or even possibly diamonds or my other stones, so I thought I'd ask people who are far more expert than me here what your thoughts are on this. It makes everything come out beautifully clean, but I'd cry if I damaged anything from using it. Help?ETA: It's this one https://www.amazon.ca/gp/product/B007Q2M17K/ref=oh_aui_detailpage_o03_s00?ie=UTF8&psc=1

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