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 r61789 = 2.0;
        double r61790 = x;
        double r61791 = exp(r61790);
        double r61792 = -r61790;
        double r61793 = exp(r61792);
        double r61794 = r61791 + r61793;
        double r61795 = r61789 / r61794;
        return r61795;
}
↓
double f(double x) {
        double r61796 = 2.0;
        double r61797 = x;
        double r61798 = exp(r61797);
        double r61799 = -r61797;
        double r61800 = exp(r61799);
        double r61801 = r61798 + r61800;
        double r61802 = r61796 / r61801;
        return r61802;
}

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 2020056 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))