Average Error: 0.0 → 0.0
Time: 8.9s
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 r48839 = 2.0;
        double r48840 = x;
        double r48841 = exp(r48840);
        double r48842 = -r48840;
        double r48843 = exp(r48842);
        double r48844 = r48841 + r48843;
        double r48845 = r48839 / r48844;
        return r48845;
}
↓
double f(double x) {
        double r48846 = 2.0;
        double r48847 = x;
        double r48848 = exp(r48847);
        double r48849 = -r48847;
        double r48850 = exp(r48849);
        double r48851 = r48848 + r48850;
        double r48852 = r48846 / r48851;
        return r48852;
}

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)))))