Average Error: 0.0 → 0.0
Time: 12.9s
Precision: 64
\[\frac{1}{x - 1} + \frac{x}{x + 1}\]
↓
\[\frac{1}{x - 1} + \frac{x}{x + 1}\]
\frac{1}{x - 1} + \frac{x}{x + 1}
↓
\frac{1}{x - 1} + \frac{x}{x + 1}
double f(double x) {
        double r99711 = 1.0;
        double r99712 = x;
        double r99713 = r99712 - r99711;
        double r99714 = r99711 / r99713;
        double r99715 = r99712 + r99711;
        double r99716 = r99712 / r99715;
        double r99717 = r99714 + r99716;
        return r99717;
}
↓
double f(double x) {
        double r99718 = 1.0;
        double r99719 = x;
        double r99720 = r99719 - r99718;
        double r99721 = r99718 / r99720;
        double r99722 = r99719 + r99718;
        double r99723 = r99719 / r99722;
        double r99724 = r99721 + r99723;
        return r99724;
}

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

    \[\frac{1}{x - 1} + \frac{x}{x + 1}\]

  2. Final simplification0.0

    \[\leadsto \frac{1}{x - 1} + \frac{x}{x + 1}\]

Reproduce

herbie shell --seed 2019303 
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))