Average Error: 0.0 → 0.0
Time: 1.6s
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 r58151 = 2.0;
        double r58152 = x;
        double r58153 = exp(r58152);
        double r58154 = -r58152;
        double r58155 = exp(r58154);
        double r58156 = r58153 + r58155;
        double r58157 = r58151 / r58156;
        return r58157;
}
↓
double f(double x) {
        double r58158 = 2.0;
        double r58159 = x;
        double r58160 = exp(r58159);
        double r58161 = -r58159;
        double r58162 = exp(r58161);
        double r58163 = r58160 + r58162;
        double r58164 = r58158 / r58163;
        return r58164;
}

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 2020056 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))