Average Error: 0 → 0
Time: 356.0ms
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 r17818 = a;
        double r17819 = b;
        double r17820 = r17818 - r17819;
        double r17821 = fabs(r17820);
        double r17822 = 2.0;
        double r17823 = r17821 / r17822;
        return r17823;
}
↓
double f(double a, double b) {
        double r17824 = a;
        double r17825 = b;
        double r17826 = r17824 - r17825;
        double r17827 = fabs(r17826);
        double r17828 = 2.0;
        double r17829 = r17827 / r17828;
        return r17829;
}

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 2020064 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))