Average Error: 0.0 → 0.0
Time: 1.4s
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 r112133 = 1.0;
        double r112134 = x;
        double r112135 = r112134 - r112133;
        double r112136 = r112133 / r112135;
        double r112137 = r112134 + r112133;
        double r112138 = r112134 / r112137;
        double r112139 = r112136 + r112138;
        return r112139;
}
↓
double f(double x) {
        double r112140 = 1.0;
        double r112141 = x;
        double r112142 = r112141 - r112140;
        double r112143 = r112140 / r112142;
        double r112144 = r112141 + r112140;
        double r112145 = r112141 / r112144;
        double r112146 = r112143 + r112145;
        return r112146;
}

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 2019353 +o rules:numerics
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))