Average Error: 0.0 → 0.0
Time: 2.8s
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 r60483 = 2.0;
        double r60484 = x;
        double r60485 = exp(r60484);
        double r60486 = -r60484;
        double r60487 = exp(r60486);
        double r60488 = r60485 + r60487;
        double r60489 = r60483 / r60488;
        return r60489;
}
↓
double f(double x) {
        double r60490 = 2.0;
        double r60491 = x;
        double r60492 = exp(r60491);
        double r60493 = -r60491;
        double r60494 = exp(r60493);
        double r60495 = r60492 + r60494;
        double r60496 = r60490 / r60495;
        return r60496;
}

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 2020002 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))