Average Error: 0.0 → 0.0
Time: 27.5s
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 r47240 = 2.0;
        double r47241 = x;
        double r47242 = exp(r47241);
        double r47243 = -r47241;
        double r47244 = exp(r47243);
        double r47245 = r47242 + r47244;
        double r47246 = r47240 / r47245;
        return r47246;
}
↓
double f(double x) {
        double r47247 = 2.0;
        double r47248 = x;
        double r47249 = exp(r47248);
        double r47250 = -r47248;
        double r47251 = exp(r47250);
        double r47252 = r47249 + r47251;
        double r47253 = r47247 / r47252;
        return r47253;
}

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 2019294 
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))