2555	 Variable-Precision Exponentiation	 A previous paper presented an efficient algorithm called the Recomputation Algorithm for evaluating a rational expression to within any desired tolerance on a computer which performs variable-precision arithmetic operations. The Recomputation Algorithm can be applied to expressions involving any variable-precision operations having O -p SUM Ei error bounds where p denotes the operation s precision and Ei denotes the error in the operation s ith argument. This paper presents an efficient variable-precision exponential operation with an error bound of the above order. Other operations such as log sin and cos which have simple series expansions can be handled similarly. variable-precision exponential function error analysis interval arithmetic
