4:40 reason why it freaks out is that the closer you get to 0^-1, and n^-1 is 1/n... it's the same as if you were approaching 1/0, which causes the result to be a larger and larger number, and desmos can only process so many numbers at a time, and when that processing capability is overwhelmed, it lags really badly.
Cool graphs, can you credit the original Black MIDI for the song tho? It's one I've seen and as a former blacker I know it takes so much hard work to make one of those songs.
That was a crazy lag at a=0 for the eyeball flower but for gee its windy today to me it looked like the sine wave was going at me let me know if you agree