Average Error: 0 → 0
Time: 738.0ms
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 r23145 = a;
        double r23146 = b;
        double r23147 = r23145 - r23146;
        double r23148 = fabs(r23147);
        double r23149 = 2.0;
        double r23150 = r23148 / r23149;
        return r23150;
}
↓
double f(double a, double b) {
        double r23151 = a;
        double r23152 = b;
        double r23153 = r23151 - r23152;
        double r23154 = fabs(r23153);
        double r23155 = 2.0;
        double r23156 = r23154 / r23155;
        return r23156;
}

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 2019325 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))