Average Error: 0.0 → 0.0
Time: 5.1s
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 r111046 = 1.0;
        double r111047 = x;
        double r111048 = r111047 - r111046;
        double r111049 = r111046 / r111048;
        double r111050 = r111047 + r111046;
        double r111051 = r111047 / r111050;
        double r111052 = r111049 + r111051;
        return r111052;
}
↓
double f(double x) {
        double r111053 = 1.0;
        double r111054 = x;
        double r111055 = r111054 - r111053;
        double r111056 = r111053 / r111055;
        double r111057 = r111054 + r111053;
        double r111058 = r111054 / r111057;
        double r111059 = r111056 + r111058;
        return r111059;
}

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 2019196 +o rules:numerics
(FPCore (x)
  :name "Asymptote B"
  (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))