You know, I love idle games. They're the easiest to handle amongst games when getting medals, but I often find my share of issues with each of them. Most of the time they just make my sleepy, but every so often I encounter a counting issue, especially when things get fast.
First off... thank you for acknowledging me like that in the game. As I said, I enjoy these games, but it doesn't mean that I make attempts on speeding things up. I believe I was jumping between 2 tabs and refreshing the game so I stay connected to Newgrounds when the medal goes off. I noticed that a little boost to the clock when I did, it didn't boost the speed from what I could tell, but this is the first sign of what's to come.
When I discovered that you added more medals, I continued and had the most difficult time with the 'Fast Full Circle' medal as I was about 3:30 at best. I know it had something to do with toggling on and off the autobuys, but I couldn't figure it out. I did discover the auto EON, making it less punishable for nodding off, and when I awoken, I see that the fastest cycle I went through was 2:30. It gets more wild as the cycle kept getting shorter and shorter to the point where it finishes a cycle in under half the target time and the EON stop autocycling all together.
I maxed out qwerty's theorem, but the medal didn't go off. The first medal says 'Not Achieved' all the time even after I already obtain it and it tends to fix itself after a refresh of the page, so I refreshed the page, but it didn't acknowledge it no matter how many times I refreshed it.
https://www.newgrounds.com/dump/draw/a7722341c8bc89471a20a3c81f3927d9
You likely saw the ridiculous amount of Eons I would've gotten upon freezing in the proof I provided. Not sure if that was the intention, but this is something I encounter all the time whenever numbers begin to accelerate with no end in sight. Oh the surprises I find after taking a nap to these games.