actually that paper involves making use of transseries. but before that we 
can first extend what we have in gruntz.py. actually Sympy lacks effecient 
implementation of gruntz thesis
By integrating hardy fields(something thing that sympy basically exp-log 
functions) with nested expansions and star products, we can effeciently 
deal with not only exp-log functions but also liovillian func, inverse 
functions and implicit functions as explained in symbolic asymptotics book 
by shackell

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