Average Error: 0.0 → 0.0
Time: 35.4s
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 r47295 = 2.0;
        double r47296 = x;
        double r47297 = exp(r47296);
        double r47298 = -r47296;
        double r47299 = exp(r47298);
        double r47300 = r47297 + r47299;
        double r47301 = r47295 / r47300;
        return r47301;
}
↓
double f(double x) {
        double r47302 = 2.0;
        double r47303 = x;
        double r47304 = exp(r47303);
        double r47305 = -r47303;
        double r47306 = exp(r47305);
        double r47307 = r47304 + r47306;
        double r47308 = r47302 / r47307;
        return r47308;
}

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 2020046 +o rules:numerics
(FPCore (x)
  :name "Hyperbolic secant"
  :precision binary64
  (/ 2 (+ (exp x) (exp (- x)))))