Average Error: 0.0 → 0.0
Time: 24.5s
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 r45815 = 2.0;
        double r45816 = x;
        double r45817 = exp(r45816);
        double r45818 = -r45816;
        double r45819 = exp(r45818);
        double r45820 = r45817 + r45819;
        double r45821 = r45815 / r45820;
        return r45821;
}
↓
double f(double x) {
        double r45822 = 2.0;
        double r45823 = x;
        double r45824 = exp(r45823);
        double r45825 = -r45823;
        double r45826 = exp(r45825);
        double r45827 = r45824 + r45826;
        double r45828 = r45822 / r45827;
        return r45828;
}

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 2019298 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))