Abstract: In one embodiment, a computer-implemented method includes receiving as input a value of a variable x and receiving as input a degree n of a polynomial function being used to evaluate an exponential function ex. A first expression A*(x?ln(2)*Kn(xf))+B is evaluated, by one or more computer processors in a single instruction multiple data (SIMD) architecture, as an integer and is read as a double. In the first expression, Kn(xf) is a polynomial function of the degree n, xf is a fractional part of x/ln(2), A=252/ln(2), and B=1023*252. The result of reading the first expression as a double is returned as the value of the exponential function with respect to the variable x.

Abstract: In one embodiment, a computer-implemented method includes receiving as input a value of a variable x and receiving as input a degree n of a polynomial function being used to evaluate an exponential function ex. A first expression A*(x?ln(2)*Kn(xf))+B is evaluated, by one or more computer processors in a single instruction multiple data (SIMD) architecture, as an integer and is read as a double. In the first expression, Kn(xf) is a polynomial function of the degree n, xf is a fractional part of x/ln(2), A=252/ln(2), and B=1023*252. The result of reading the first expression as a double is returned as the value of the exponential function with respect to the variable x.