Average Error: 0 → 0
Time: 999.0ms
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 r158705 = a;
        double r158706 = b;
        double r158707 = r158705 - r158706;
        double r158708 = fabs(r158707);
        double r158709 = 2.0;
        double r158710 = r158708 / r158709;
        return r158710;
}
↓
double f(double a, double b) {
        double r158711 = a;
        double r158712 = b;
        double r158713 = r158711 - r158712;
        double r158714 = fabs(r158713);
        double r158715 = 2.0;
        double r158716 = r158714 / r158715;
        return r158716;
}

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 2019149 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))