Average Error: 0.0 → 0.0
Time: 1.6s
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 r53107 = 2.0;
        double r53108 = x;
        double r53109 = exp(r53108);
        double r53110 = -r53108;
        double r53111 = exp(r53110);
        double r53112 = r53109 + r53111;
        double r53113 = r53107 / r53112;
        return r53113;
}
↓
double f(double x) {
        double r53114 = 2.0;
        double r53115 = x;
        double r53116 = exp(r53115);
        double r53117 = -r53115;
        double r53118 = exp(r53117);
        double r53119 = r53116 + r53118;
        double r53120 = r53114 / r53119;
        return r53120;
}

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 2020060 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))