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 r55766 = 2.0;
        double r55767 = x;
        double r55768 = exp(r55767);
        double r55769 = -r55767;
        double r55770 = exp(r55769);
        double r55771 = r55768 + r55770;
        double r55772 = r55766 / r55771;
        return r55772;
}
↓
double f(double x) {
        double r55773 = 2.0;
        double r55774 = x;
        double r55775 = exp(r55774);
        double r55776 = -r55774;
        double r55777 = exp(r55776);
        double r55778 = r55775 + r55777;
        double r55779 = r55773 / r55778;
        return r55779;
}

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 2019347 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))