Average Error: 0 → 0
Time: 402.0ms
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 r16608 = a;
        double r16609 = b;
        double r16610 = r16608 - r16609;
        double r16611 = fabs(r16610);
        double r16612 = 2.0;
        double r16613 = r16611 / r16612;
        return r16613;
}
↓
double f(double a, double b) {
        double r16614 = a;
        double r16615 = b;
        double r16616 = r16614 - r16615;
        double r16617 = fabs(r16616);
        double r16618 = 2.0;
        double r16619 = r16617 / r16618;
        return r16619;
}

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 2020003 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))