Average Error: 0.0 → 0.0
Time: 23.8s
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 r105361 = 1.0;
        double r105362 = x;
        double r105363 = r105362 - r105361;
        double r105364 = r105361 / r105363;
        double r105365 = r105362 + r105361;
        double r105366 = r105362 / r105365;
        double r105367 = r105364 + r105366;
        return r105367;
}
↓
double f(double x) {
        double r105368 = 1.0;
        double r105369 = x;
        double r105370 = r105369 - r105368;
        double r105371 = r105368 / r105370;
        double r105372 = r105369 + r105368;
        double r105373 = r105369 / r105372;
        double r105374 = r105371 + r105373;
        return r105374;
}

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 +o rules:numerics
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))