Average Error: 0.0 → 0.0
Time: 7.8s
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 r45979 = 2.0;
        double r45980 = x;
        double r45981 = exp(r45980);
        double r45982 = -r45980;
        double r45983 = exp(r45982);
        double r45984 = r45981 + r45983;
        double r45985 = r45979 / r45984;
        return r45985;
}
↓
double f(double x) {
        double r45986 = 2.0;
        double r45987 = x;
        double r45988 = exp(r45987);
        double r45989 = -r45987;
        double r45990 = exp(r45989);
        double r45991 = r45988 + r45990;
        double r45992 = r45986 / r45991;
        return r45992;
}

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 2019306 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))