Average Error: 0.0 → 0.0
Time: 1.2s
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 r53842 = 2.0;
        double r53843 = x;
        double r53844 = exp(r53843);
        double r53845 = -r53843;
        double r53846 = exp(r53845);
        double r53847 = r53844 + r53846;
        double r53848 = r53842 / r53847;
        return r53848;
}
↓
double f(double x) {
        double r53849 = 2.0;
        double r53850 = x;
        double r53851 = exp(r53850);
        double r53852 = -r53850;
        double r53853 = exp(r53852);
        double r53854 = r53851 + r53853;
        double r53855 = r53849 / r53854;
        return r53855;
}

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 2020064 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))