Average Error: 0 → 0
Time: 356.0ms
Precision: 64
\[\frac{\left|a - b\right|}{2}\]
↓
\[\frac{\left|a - b\right|}{2}\]
\frac{\left|a - b\right|}{2}
↓
\frac{\left|a - b\right|}{2}
double f(double a, double b) {
        double r18759 = a;
        double r18760 = b;
        double r18761 = r18759 - r18760;
        double r18762 = fabs(r18761);
        double r18763 = 2.0;
        double r18764 = r18762 / r18763;
        return r18764;
}
↓
double f(double a, double b) {
        double r18765 = a;
        double r18766 = b;
        double r18767 = r18765 - r18766;
        double r18768 = fabs(r18767);
        double r18769 = 2.0;
        double r18770 = r18768 / r18769;
        return r18770;
}

Error

Bits error versus a

Bits error versus b

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\frac{\left|a - b\right|}{2}\]

  2. Final simplification0

    \[\leadsto \frac{\left|a - b\right|}{2}\]

Reproduce

herbie shell --seed 2020047 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))