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 r11416 = a;
        double r11417 = b;
        double r11418 = r11416 - r11417;
        double r11419 = fabs(r11418);
        double r11420 = 2.0;
        double r11421 = r11419 / r11420;
        return r11421;
}
↓
double f(double a, double b) {
        double r11422 = a;
        double r11423 = b;
        double r11424 = r11422 - r11423;
        double r11425 = fabs(r11424);
        double r11426 = 2.0;
        double r11427 = r11425 / r11426;
        return r11427;
}

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 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))