Average Error: 0.0 → 0.0
Time: 1.8s
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 r31829 = 2.0;
        double r31830 = x;
        double r31831 = exp(r31830);
        double r31832 = -r31830;
        double r31833 = exp(r31832);
        double r31834 = r31831 + r31833;
        double r31835 = r31829 / r31834;
        return r31835;
}
↓
double f(double x) {
        double r31836 = 2.0;
        double r31837 = x;
        double r31838 = exp(r31837);
        double r31839 = -r31837;
        double r31840 = exp(r31839);
        double r31841 = r31838 + r31840;
        double r31842 = r31836 / r31841;
        return r31842;
}

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 2020062 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))