Average Error: 0 → 0
Time: 410.0ms
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 r17943 = a;
        double r17944 = b;
        double r17945 = r17943 - r17944;
        double r17946 = fabs(r17945);
        double r17947 = 2.0;
        double r17948 = r17946 / r17947;
        return r17948;
}
↓
double f(double a, double b) {
        double r17949 = a;
        double r17950 = b;
        double r17951 = r17949 - r17950;
        double r17952 = fabs(r17951);
        double r17953 = 2.0;
        double r17954 = r17952 / r17953;
        return r17954;
}

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 2019346 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))