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Description
Now that the support for composed functions in preimages is in good state, it would make sense to try and replace mod1_dynamic with the composition of the underlying map mod1_dynamic is essentially computing the preimages of integers.
In addition, I believe that thinking about this problem would lead us to write better interfaces to support composition and dynamics more generically (e.g., with different domains, or by a new dynamics type for the map like x -> x mod 1); it is a good model problem to have to think about what we would like our dynamics + composition interface to support.
I'm not going to work on this right now, but I'm just noting it down as a future idea before I forget. :-)