Average Error: 0.0 → 0.0
Time: 38.2s
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 r5510105 = 2.0;
        double r5510106 = x;
        double r5510107 = exp(r5510106);
        double r5510108 = -r5510106;
        double r5510109 = exp(r5510108);
        double r5510110 = r5510107 + r5510109;
        double r5510111 = r5510105 / r5510110;
        return r5510111;
}
↓
double f(double x) {
        double r5510112 = 2.0;
        double r5510113 = x;
        double r5510114 = exp(r5510113);
        double r5510115 = -r5510113;
        double r5510116 = exp(r5510115);
        double r5510117 = r5510114 + r5510116;
        double r5510118 = r5510112 / r5510117;
        return r5510118;
}

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 2019120 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  (/ 2 (+ (exp x) (exp (- x)))))