Average Error: 0.0 → 0.0
Time: 7.0s
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 r1416880 = 2.0;
        double r1416881 = x;
        double r1416882 = exp(r1416881);
        double r1416883 = -r1416881;
        double r1416884 = exp(r1416883);
        double r1416885 = r1416882 + r1416884;
        double r1416886 = r1416880 / r1416885;
        return r1416886;
}
↓
double f(double x) {
        double r1416887 = 2.0;
        double r1416888 = x;
        double r1416889 = exp(r1416888);
        double r1416890 = -r1416888;
        double r1416891 = exp(r1416890);
        double r1416892 = r1416889 + r1416891;
        double r1416893 = r1416887 / r1416892;
        return r1416893;
}

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 2019129 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))