Average Error: 0.0 → 0.0
Time: 6.6s
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 r44547 = 2.0;
        double r44548 = x;
        double r44549 = exp(r44548);
        double r44550 = -r44548;
        double r44551 = exp(r44550);
        double r44552 = r44549 + r44551;
        double r44553 = r44547 / r44552;
        return r44553;
}
↓
double f(double x) {
        double r44554 = 2.0;
        double r44555 = x;
        double r44556 = exp(r44555);
        double r44557 = -r44555;
        double r44558 = exp(r44557);
        double r44559 = r44556 + r44558;
        double r44560 = r44554 / r44559;
        return r44560;
}

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)))))