Average Error: 0 → 0
Time: 385.0ms
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 r17816 = a;
        double r17817 = b;
        double r17818 = r17816 - r17817;
        double r17819 = fabs(r17818);
        double r17820 = 2.0;
        double r17821 = r17819 / r17820;
        return r17821;
}
↓
double f(double a, double b) {
        double r17822 = a;
        double r17823 = b;
        double r17824 = r17822 - r17823;
        double r17825 = fabs(r17824);
        double r17826 = 2.0;
        double r17827 = r17825 / r17826;
        return r17827;
}

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 2019344 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))