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Accelerating transitions in gganimate

Time:02-14

I have a plot with several hundred lines. I would like these lines to appear over time; first slowly, to have the time to explain what's going on to the audience; then faster and faster.

The minimal example below gives an example of how the animation currently looks. What I want is that the first frame has a few seconds, the second is roughly half as long, the third another half of that, etc. Essentially, the duration should get exponentially smaller.

However, I cannot figure out how to change the duration. I thought that the option ease_aes() should do it as it allows functions such as exponential_in. Using this option though seems to change nothing for me.

I also found an enter image description here

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