I don't want to dive too much into theoretical discussion. And, by the way, I
think Lilypond is doing an excellent job!

But consider the following example: If I breaked down my score by explicit
page breaks, my intuition would be that it should be possible to do the
typesetting job in a linear "page by page" fashion (similar to breaking the
piece into multiple bookparts).

So I suppose the performance issue is more about memory consumption than
about algorithmic runtime complexity.
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