Average Error: 0 → 0
Time: 367.0ms
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 r17223 = a;
        double r17224 = b;
        double r17225 = r17223 - r17224;
        double r17226 = fabs(r17225);
        double r17227 = 2.0;
        double r17228 = r17226 / r17227;
        return r17228;
}
↓
double f(double a, double b) {
        double r17229 = a;
        double r17230 = b;
        double r17231 = r17229 - r17230;
        double r17232 = fabs(r17231);
        double r17233 = 2.0;
        double r17234 = r17232 / r17233;
        return r17234;
}

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 2020060 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))