Average Error: 0.0 → 0.0
Time: 24.7s
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 r59717 = 2.0;
        double r59718 = x;
        double r59719 = exp(r59718);
        double r59720 = -r59718;
        double r59721 = exp(r59720);
        double r59722 = r59719 + r59721;
        double r59723 = r59717 / r59722;
        return r59723;
}
↓
double f(double x) {
        double r59724 = 2.0;
        double r59725 = x;
        double r59726 = exp(r59725);
        double r59727 = -r59725;
        double r59728 = exp(r59727);
        double r59729 = r59726 + r59728;
        double r59730 = r59724 / r59729;
        return r59730;
}

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 2019303 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))