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 r23141 = a;
        double r23142 = b;
        double r23143 = r23141 - r23142;
        double r23144 = fabs(r23143);
        double r23145 = 2.0;
        double r23146 = r23144 / r23145;
        return r23146;
}
↓
double f(double a, double b) {
        double r23147 = a;
        double r23148 = b;
        double r23149 = r23147 - r23148;
        double r23150 = fabs(r23149);
        double r23151 = 2.0;
        double r23152 = r23150 / r23151;
        return r23152;
}

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))