Average Error: 0.0 → 0.0
Time: 1.0s
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 r2123878 = 2.0;
        double r2123879 = x;
        double r2123880 = exp(r2123879);
        double r2123881 = -r2123879;
        double r2123882 = exp(r2123881);
        double r2123883 = r2123880 + r2123882;
        double r2123884 = r2123878 / r2123883;
        return r2123884;
}
↓
double f(double x) {
        double r2123885 = 2.0;
        double r2123886 = x;
        double r2123887 = exp(r2123886);
        double r2123888 = -r2123886;
        double r2123889 = exp(r2123888);
        double r2123890 = r2123887 + r2123889;
        double r2123891 = r2123885 / r2123890;
        return r2123891;
}

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 2019142 
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))