In Inkscape you can add nodes at the extrema in each of the selected path segments. This can be highly convenient e.g. when you want to design glyphs for a font. However it can strongly increase the number of nodes in that path without really changing the geometry. Some programs suffer dramatically from a high number of nodes. In my case it is a complex symbol for a font that already contains many nodes (unlike letters).
So it would be nice to remove redundant nodes.
Simplify does exactly this (Although I had to lower the Simplification threshold to 0.0006). However it doesn't care about extremes and so it removes most of the previously added nodes.
Is it possible to decrease the number of nodes after adding extrema to approximately the same amount it was before without removing the extrema and without changing the shape too much?