Average Error: 0.0 → 0.0
Time: 8.7s
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 r30368 = 2.0;
        double r30369 = x;
        double r30370 = exp(r30369);
        double r30371 = -r30369;
        double r30372 = exp(r30371);
        double r30373 = r30370 + r30372;
        double r30374 = r30368 / r30373;
        return r30374;
}
↓
double f(double x) {
        double r30375 = 2.0;
        double r30376 = x;
        double r30377 = exp(r30376);
        double r30378 = -r30376;
        double r30379 = exp(r30378);
        double r30380 = r30377 + r30379;
        double r30381 = r30375 / r30380;
        return r30381;
}

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 2020042 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))