Average Error: 0 → 0
Time: 1.3s
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 r14671 = a;
        double r14672 = b;
        double r14673 = r14671 - r14672;
        double r14674 = fabs(r14673);
        double r14675 = 2.0;
        double r14676 = r14674 / r14675;
        return r14676;
}
↓
double f(double a, double b) {
        double r14677 = a;
        double r14678 = b;
        double r14679 = r14677 - r14678;
        double r14680 = fabs(r14679);
        double r14681 = 2.0;
        double r14682 = r14680 / r14681;
        return r14682;
}

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 2019291 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))