Average Error: 0 → 0
Time: 1.0s
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 r134772 = a;
        double r134773 = b;
        double r134774 = r134772 - r134773;
        double r134775 = fabs(r134774);
        double r134776 = 2.0;
        double r134777 = r134775 / r134776;
        return r134777;
}
↓
double f(double a, double b) {
        double r134778 = a;
        double r134779 = b;
        double r134780 = r134778 - r134779;
        double r134781 = fabs(r134780);
        double r134782 = 2.0;
        double r134783 = r134781 / r134782;
        return r134783;
}

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 2019120 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))