Average Error: 0 → 0
Time: 386.0ms
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 r18940 = a;
        double r18941 = b;
        double r18942 = r18940 - r18941;
        double r18943 = fabs(r18942);
        double r18944 = 2.0;
        double r18945 = r18943 / r18944;
        return r18945;
}
↓
double f(double a, double b) {
        double r18946 = a;
        double r18947 = b;
        double r18948 = r18946 - r18947;
        double r18949 = fabs(r18948);
        double r18950 = 2.0;
        double r18951 = r18949 / r18950;
        return r18951;
}

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 2019354 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))