Average Error: 0 → 0
Time: 818.0ms
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 r11218 = a;
        double r11219 = b;
        double r11220 = r11218 - r11219;
        double r11221 = fabs(r11220);
        double r11222 = 2.0;
        double r11223 = r11221 / r11222;
        return r11223;
}
↓
double f(double a, double b) {
        double r11224 = a;
        double r11225 = b;
        double r11226 = r11224 - r11225;
        double r11227 = fabs(r11226);
        double r11228 = 2.0;
        double r11229 = r11227 / r11228;
        return r11229;
}

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 2019326 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))