Average Error: 0.0 → 0.0
Time: 4.2s
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 r45685 = 2.0;
        double r45686 = x;
        double r45687 = exp(r45686);
        double r45688 = -r45686;
        double r45689 = exp(r45688);
        double r45690 = r45687 + r45689;
        double r45691 = r45685 / r45690;
        return r45691;
}
↓
double f(double x) {
        double r45692 = 2.0;
        double r45693 = x;
        double r45694 = exp(r45693);
        double r45695 = -r45693;
        double r45696 = exp(r45695);
        double r45697 = r45694 + r45696;
        double r45698 = r45692 / r45697;
        return r45698;
}

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 2020046 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))