Average Error: 0.0 → 0.0
Time: 9.5s
Precision: 64
\[\frac{1}{x - 1} + \frac{x}{x + 1}\]
↓
\[\frac{1}{x - 1} + \frac{1}{\frac{x + 1}{x}}\]
\frac{1}{x - 1} + \frac{x}{x + 1}
↓
\frac{1}{x - 1} + \frac{1}{\frac{x + 1}{x}}
double f(double x) {
        double r6422230 = 1.0;
        double r6422231 = x;
        double r6422232 = r6422231 - r6422230;
        double r6422233 = r6422230 / r6422232;
        double r6422234 = r6422231 + r6422230;
        double r6422235 = r6422231 / r6422234;
        double r6422236 = r6422233 + r6422235;
        return r6422236;
}
↓
double f(double x) {
        double r6422237 = 1.0;
        double r6422238 = x;
        double r6422239 = r6422238 - r6422237;
        double r6422240 = r6422237 / r6422239;
        double r6422241 = r6422238 + r6422237;
        double r6422242 = r6422241 / r6422238;
        double r6422243 = r6422237 / r6422242;
        double r6422244 = r6422240 + r6422243;
        return r6422244;
}

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 clear-num0.0

    \[\leadsto \frac{1}{x - 1} + \color{blue}{\frac{1}{\frac{x + 1}{x}}}\]

  4. Final simplification0.0

    \[\leadsto \frac{1}{x - 1} + \frac{1}{\frac{x + 1}{x}}\]

Reproduce

herbie shell --seed 2019165 +o rules:numerics
(FPCore (x)
  :name "Asymptote B"
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))