Average Error: 0.0 → 0.0
Time: 1.4s
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 r52643 = 2.0;
        double r52644 = x;
        double r52645 = exp(r52644);
        double r52646 = -r52644;
        double r52647 = exp(r52646);
        double r52648 = r52645 + r52647;
        double r52649 = r52643 / r52648;
        return r52649;
}
↓
double f(double x) {
        double r52650 = 2.0;
        double r52651 = x;
        double r52652 = exp(r52651);
        double r52653 = -r52651;
        double r52654 = exp(r52653);
        double r52655 = r52652 + r52654;
        double r52656 = r52650 / r52655;
        return r52656;
}

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 2020083 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))