Average Error: 0.0 → 0.0
Time: 775.0ms
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 r44076 = 2.0;
        double r44077 = x;
        double r44078 = exp(r44077);
        double r44079 = -r44077;
        double r44080 = exp(r44079);
        double r44081 = r44078 + r44080;
        double r44082 = r44076 / r44081;
        return r44082;
}
↓
double f(double x) {
        double r44083 = 2.0;
        double r44084 = x;
        double r44085 = exp(r44084);
        double r44086 = -r44084;
        double r44087 = exp(r44086);
        double r44088 = r44085 + r44087;
        double r44089 = r44083 / r44088;
        return r44089;
}

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 2019326 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))