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 r128309 = 1.0;
        double r128310 = x;
        double r128311 = r128310 - r128309;
        double r128312 = r128309 / r128311;
        double r128313 = r128310 + r128309;
        double r128314 = r128310 / r128313;
        double r128315 = r128312 + r128314;
        return r128315;
}
↓
double f(double x) {
        double r128316 = 1.0;
        double r128317 = x;
        double r128318 = r128317 - r128316;
        double r128319 = r128316 / r128318;
        double r128320 = r128317 + r128316;
        double r128321 = r128317 / r128320;
        double r128322 = r128319 + r128321;
        return r128322;
}

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 
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))