Average Error: 0.0 → 0.0
Time: 2.6s
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 r125118 = 1.0;
        double r125119 = x;
        double r125120 = r125119 - r125118;
        double r125121 = r125118 / r125120;
        double r125122 = r125119 + r125118;
        double r125123 = r125119 / r125122;
        double r125124 = r125121 + r125123;
        return r125124;
}
↓
double f(double x) {
        double r125125 = 1.0;
        double r125126 = x;
        double r125127 = r125126 - r125125;
        double r125128 = r125125 / r125127;
        double r125129 = r125126 + r125125;
        double r125130 = r125126 / r125129;
        double r125131 = r125128 + r125130;
        return r125131;
}

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 2020033 +o rules:numerics
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))