>
> But it will be nice to use ring_series for various operations for 
> truncated series.
>
ring_series has very fast implementations of the series expansion of 
elementary 
functions (currently it has log and exp only). Consider this:
 

In [18]: %timeit s = exp(x).series(x, 0, 100)

1 loops, best of 3: 7.01 s per loop


In [20]: %timeit t = rs_exp(y, y, 100)

100 loops, best of 3: 4.29 ms per loop

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