Average Error: 0 → 0
Time: 388.0ms
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 r17918 = a;
        double r17919 = b;
        double r17920 = r17918 - r17919;
        double r17921 = fabs(r17920);
        double r17922 = 2.0;
        double r17923 = r17921 / r17922;
        return r17923;
}
↓
double f(double a, double b) {
        double r17924 = a;
        double r17925 = b;
        double r17926 = r17924 - r17925;
        double r17927 = fabs(r17926);
        double r17928 = 2.0;
        double r17929 = r17927 / r17928;
        return r17929;
}

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 2020049 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))