Average Error: 0.0 → 0.0
Time: 749.0ms
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 r88305 = 1.0;
        double r88306 = x;
        double r88307 = r88306 - r88305;
        double r88308 = r88305 / r88307;
        double r88309 = r88306 + r88305;
        double r88310 = r88306 / r88309;
        double r88311 = r88308 + r88310;
        return r88311;
}
↓
double f(double x) {
        double r88312 = 1.0;
        double r88313 = x;
        double r88314 = r88313 - r88312;
        double r88315 = r88312 / r88314;
        double r88316 = r88313 + r88312;
        double r88317 = r88313 / r88316;
        double r88318 = r88315 + r88317;
        return r88318;
}

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 2020024 +o rules:numerics
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))