Average Error: 0.0 → 0.0
Time: 2.0s
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 r82695 = 1.0;
        double r82696 = x;
        double r82697 = r82696 - r82695;
        double r82698 = r82695 / r82697;
        double r82699 = r82696 + r82695;
        double r82700 = r82696 / r82699;
        double r82701 = r82698 + r82700;
        return r82701;
}
↓
double f(double x) {
        double r82702 = 1.0;
        double r82703 = x;
        double r82704 = r82703 - r82702;
        double r82705 = r82702 / r82704;
        double r82706 = r82703 + r82702;
        double r82707 = r82703 / r82706;
        double r82708 = r82705 + r82707;
        return r82708;
}

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 2020089 +o rules:numerics
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))