Average Error: 0 → 0
Time: 1.2s
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 r11051 = a;
        double r11052 = b;
        double r11053 = r11051 - r11052;
        double r11054 = fabs(r11053);
        double r11055 = 2.0;
        double r11056 = r11054 / r11055;
        return r11056;
}
↓
double f(double a, double b) {
        double r11057 = a;
        double r11058 = b;
        double r11059 = r11057 - r11058;
        double r11060 = fabs(r11059);
        double r11061 = 2.0;
        double r11062 = r11060 / r11061;
        return r11062;
}

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 2019306 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))