Average Error: 0.0 → 0.0
Time: 13.2s
Precision: 64
\[\frac{1}{x - 1} + \frac{x}{x + 1}\]
↓
\[\sqrt[3]{{\left(\frac{1}{x - 1} + \frac{x}{x + 1}\right)}^{3}}\]
\frac{1}{x - 1} + \frac{x}{x + 1}
↓
\sqrt[3]{{\left(\frac{1}{x - 1} + \frac{x}{x + 1}\right)}^{3}}
double f(double x) {
        double r235850 = 1.0;
        double r235851 = x;
        double r235852 = r235851 - r235850;
        double r235853 = r235850 / r235852;
        double r235854 = r235851 + r235850;
        double r235855 = r235851 / r235854;
        double r235856 = r235853 + r235855;
        return r235856;
}
↓
double f(double x) {
        double r235857 = 1.0;
        double r235858 = x;
        double r235859 = r235858 - r235857;
        double r235860 = r235857 / r235859;
        double r235861 = r235858 + r235857;
        double r235862 = r235858 / r235861;
        double r235863 = r235860 + r235862;
        double r235864 = 3.0;
        double r235865 = pow(r235863, r235864);
        double r235866 = cbrt(r235865);
        return r235866;
}

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. Using strategy rm

  3. Applied add-cbrt-cube0.0

    \[\leadsto \color{blue}{\sqrt[3]{\left(\left(\frac{1}{x - 1} + \frac{x}{x + 1}\right) \cdot \left(\frac{1}{x - 1} + \frac{x}{x + 1}\right)\right) \cdot \left(\frac{1}{x - 1} + \frac{x}{x + 1}\right)}}\]

  4. Simplified0.0

    \[\leadsto \sqrt[3]{\color{blue}{{\left(\frac{1}{x - 1} + \frac{x}{x + 1}\right)}^{3}}}\]

  5. Final simplification0.0

    \[\leadsto \sqrt[3]{{\left(\frac{1}{x - 1} + \frac{x}{x + 1}\right)}^{3}}\]

Reproduce

herbie shell --seed 2019323 
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))