Average Error: 0.0 → 0.0
Time: 759.0ms
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 r112702 = 1.0;
        double r112703 = x;
        double r112704 = r112703 - r112702;
        double r112705 = r112702 / r112704;
        double r112706 = r112703 + r112702;
        double r112707 = r112703 / r112706;
        double r112708 = r112705 + r112707;
        return r112708;
}
↓
double f(double x) {
        double r112709 = 1.0;
        double r112710 = x;
        double r112711 = r112710 - r112709;
        double r112712 = r112709 / r112711;
        double r112713 = r112710 + r112709;
        double r112714 = r112710 / r112713;
        double r112715 = r112712 + r112714;
        return r112715;
}

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 2020024 
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))