Average Error: 0.0 → 0.0
Time: 11.6s
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 r81039 = 1.0;
        double r81040 = x;
        double r81041 = r81040 - r81039;
        double r81042 = r81039 / r81041;
        double r81043 = r81040 + r81039;
        double r81044 = r81040 / r81043;
        double r81045 = r81042 + r81044;
        return r81045;
}
↓
double f(double x) {
        double r81046 = 1.0;
        double r81047 = x;
        double r81048 = r81047 - r81046;
        double r81049 = r81046 / r81048;
        double r81050 = r81047 + r81046;
        double r81051 = r81047 / r81050;
        double r81052 = r81049 + r81051;
        return r81052;
}

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))))