Average Error: 0.0 → 0.0
Time: 1.5s
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 r62077 = 2.0;
        double r62078 = x;
        double r62079 = exp(r62078);
        double r62080 = -r62078;
        double r62081 = exp(r62080);
        double r62082 = r62079 + r62081;
        double r62083 = r62077 / r62082;
        return r62083;
}
↓
double f(double x) {
        double r62084 = 2.0;
        double r62085 = x;
        double r62086 = exp(r62085);
        double r62087 = -r62085;
        double r62088 = exp(r62087);
        double r62089 = r62086 + r62088;
        double r62090 = r62084 / r62089;
        return r62090;
}

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 2020035 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))