Average Error: 0.0 → 0.0
Time: 4.0s
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 r103980 = 1.0;
        double r103981 = x;
        double r103982 = r103981 - r103980;
        double r103983 = r103980 / r103982;
        double r103984 = r103981 + r103980;
        double r103985 = r103981 / r103984;
        double r103986 = r103983 + r103985;
        return r103986;
}
↓
double f(double x) {
        double r103987 = 1.0;
        double r103988 = x;
        double r103989 = r103988 - r103987;
        double r103990 = r103987 / r103989;
        double r103991 = r103988 + r103987;
        double r103992 = r103988 / r103991;
        double r103993 = r103990 + r103992;
        return r103993;
}

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 2020043 
(FPCore (x)
  :name "Asymptote B"
  :precision binary64
  (+ (/ 1 (- x 1)) (/ x (+ x 1))))