Average Error: 0.0 → 0.0
Time: 2.1s
Precision: 64
\[\frac{2}{e^{x} + e^{-x}}\]
↓
\[\frac{2}{e^{x} + e^{-x}}\]
\frac{2}{e^{x} + e^{-x}}
↓
\frac{2}{e^{x} + e^{-x}}
double f(double x) {
        double r61772 = 2.0;
        double r61773 = x;
        double r61774 = exp(r61773);
        double r61775 = -r61773;
        double r61776 = exp(r61775);
        double r61777 = r61774 + r61776;
        double r61778 = r61772 / r61777;
        return r61778;
}
↓
double f(double x) {
        double r61779 = 2.0;
        double r61780 = x;
        double r61781 = exp(r61780);
        double r61782 = -r61780;
        double r61783 = exp(r61782);
        double r61784 = r61781 + r61783;
        double r61785 = r61779 / r61784;
        return r61785;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\frac{2}{e^{x} + e^{-x}}\]

  2. Final simplification0.0

    \[\leadsto \frac{2}{e^{x} + e^{-x}}\]

Reproduce

herbie shell --seed 2019322 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))