Average Error: 0 → 0
Time: 740.0ms
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 r11219 = a;
        double r11220 = b;
        double r11221 = r11219 - r11220;
        double r11222 = fabs(r11221);
        double r11223 = 2.0;
        double r11224 = r11222 / r11223;
        return r11224;
}
↓
double f(double a, double b) {
        double r11225 = a;
        double r11226 = b;
        double r11227 = r11225 - r11226;
        double r11228 = fabs(r11227);
        double r11229 = 2.0;
        double r11230 = r11228 / r11229;
        return r11230;
}

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