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It is true that computer math libraries that deal with the exponential functions are rather slow but this is
a function of using very archaic and long routine calculations which are time-consuming and energy wasting. If a more time-efficient method for calculating exponential functions can be found and then coded into a computer math library then this will save a lot of time for many mathematicians, engineers and computer scientists who use these exponential function libraries a lot. This author presents a new method of calculating exponential functions which is both accurate and time-saving. We no longer need to rely on time-saving approximations of exponential functions. We can now use time-saving accurate calculations of exponential functions and this could indeed change the field computational science.
There is a relationship between exponential functions and logarithms. The power of logarithms as a computational device lies in the fact that by them multiplication and division are reduced to the simpler operations of addition and subtraction.