Average Error: 0.0 → 0.0
Time: 6.5s
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 r40468 = 2.0;
        double r40469 = x;
        double r40470 = exp(r40469);
        double r40471 = -r40469;
        double r40472 = exp(r40471);
        double r40473 = r40470 + r40472;
        double r40474 = r40468 / r40473;
        return r40474;
}
↓
double f(double x) {
        double r40475 = 2.0;
        double r40476 = x;
        double r40477 = exp(r40476);
        double r40478 = -r40476;
        double r40479 = exp(r40478);
        double r40480 = r40477 + r40479;
        double r40481 = r40475 / r40480;
        return r40481;
}

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 2020043 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))