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 r124935 = 1.0;
        double r124936 = x;
        double r124937 = r124936 - r124935;
        double r124938 = r124935 / r124937;
        double r124939 = r124936 + r124935;
        double r124940 = r124936 / r124939;
        double r124941 = r124938 + r124940;
        return r124941;
}
↓
double f(double x) {
        double r124942 = 1.0;
        double r124943 = x;
        double r124944 = r124943 - r124942;
        double r124945 = r124942 / r124944;
        double r124946 = r124943 + r124942;
        double r124947 = r124943 / r124946;
        double r124948 = r124945 + r124947;
        return r124948;
}

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))))