Average Error: 0.0 → 0.0
Time: 7.1s
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 r39512 = 2.0;
        double r39513 = x;
        double r39514 = exp(r39513);
        double r39515 = -r39513;
        double r39516 = exp(r39515);
        double r39517 = r39514 + r39516;
        double r39518 = r39512 / r39517;
        return r39518;
}
↓
double f(double x) {
        double r39519 = 2.0;
        double r39520 = x;
        double r39521 = exp(r39520);
        double r39522 = -r39520;
        double r39523 = exp(r39522);
        double r39524 = r39521 + r39523;
        double r39525 = r39519 / r39524;
        return r39525;
}

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 2019303 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))