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 r15732 = a;
        double r15733 = b;
        double r15734 = r15732 - r15733;
        double r15735 = fabs(r15734);
        double r15736 = 2.0;
        double r15737 = r15735 / r15736;
        return r15737;
}
↓
double f(double a, double b) {
        double r15738 = a;
        double r15739 = b;
        double r15740 = r15738 - r15739;
        double r15741 = fabs(r15740);
        double r15742 = 2.0;
        double r15743 = r15741 / r15742;
        return r15743;
}

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 2019212 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))