Average Error: 0.0 → 0.0
Time: 9.2s
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 r88555 = 1.0;
        double r88556 = x;
        double r88557 = r88556 - r88555;
        double r88558 = r88555 / r88557;
        double r88559 = r88556 + r88555;
        double r88560 = r88556 / r88559;
        double r88561 = r88558 + r88560;
        return r88561;
}
↓
double f(double x) {
        double r88562 = 1.0;
        double r88563 = x;
        double r88564 = r88563 - r88562;
        double r88565 = r88562 / r88564;
        double r88566 = r88563 + r88562;
        double r88567 = r88563 / r88566;
        double r88568 = r88565 + r88567;
        return r88568;
}

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))))