Average Error: 0.0 → 0.0
Time: 1.7s
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 r143565 = 1.0;
        double r143566 = x;
        double r143567 = r143566 - r143565;
        double r143568 = r143565 / r143567;
        double r143569 = r143566 + r143565;
        double r143570 = r143566 / r143569;
        double r143571 = r143568 + r143570;
        return r143571;
}
↓
double f(double x) {
        double r143572 = 1.0;
        double r143573 = x;
        double r143574 = r143573 - r143572;
        double r143575 = r143572 / r143574;
        double r143576 = r143573 + r143572;
        double r143577 = r143573 / r143576;
        double r143578 = r143575 + r143577;
        return r143578;
}

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 2020083 +o rules:numerics
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))