Average Error: 0 → 0
Time: 352.0ms
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 r17187 = a;
        double r17188 = b;
        double r17189 = r17187 - r17188;
        double r17190 = fabs(r17189);
        double r17191 = 2.0;
        double r17192 = r17190 / r17191;
        return r17192;
}
↓
double f(double a, double b) {
        double r17193 = a;
        double r17194 = b;
        double r17195 = r17193 - r17194;
        double r17196 = fabs(r17195);
        double r17197 = 2.0;
        double r17198 = r17196 / r17197;
        return r17198;
}

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 2020057 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))