In December 2021, there was a question on the e621 forums about graphs with a log scale. These are not quite the same as what the e621 poster asked about, but hopefully they are interesting. They show the log of submission ID on the Y axis (vertical), vs linear time on the X axis (horizontal). They have no legends, because the legends covered up too many of the data traces. See the normal daily graphs for the legend.

Important: These graphs don't automatically update every day. They were generated one time, on 2021-12-21, with the data collected up to that time.