rjf, what I'm doing is speeding up a subset of series expansions, those 
that result
in rational coefficients. I'm using Flint for poly/series manipulation, so 
the hard
work of reading Brent/Kung was already done by them.

My problem was to effectively convert from the expression *tree to the 
ring/field
universe. This is done by walking depth-first and applying operations. 
Therefore
you only know at the end which low degree comes out. However I know now how
to get the low degree without losing too much efficiency so I'll try to 
support both
prec and order in the interface.

Regards,

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