Average Error: 0.0 → 0.0
Time: 6.0s
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 r114688 = 1.0;
        double r114689 = x;
        double r114690 = r114689 - r114688;
        double r114691 = r114688 / r114690;
        double r114692 = r114689 + r114688;
        double r114693 = r114689 / r114692;
        double r114694 = r114691 + r114693;
        return r114694;
}
↓
double f(double x) {
        double r114695 = 1.0;
        double r114696 = x;
        double r114697 = r114696 - r114695;
        double r114698 = r114695 / r114697;
        double r114699 = r114696 + r114695;
        double r114700 = r114696 / r114699;
        double r114701 = r114698 + r114700;
        return r114701;
}

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 2019294 
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))