Average Error: 0 → 0
Time: 848.0ms
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 r22036 = a;
        double r22037 = b;
        double r22038 = r22036 - r22037;
        double r22039 = fabs(r22038);
        double r22040 = 2.0;
        double r22041 = r22039 / r22040;
        return r22041;
}
↓
double f(double a, double b) {
        double r22042 = a;
        double r22043 = b;
        double r22044 = r22042 - r22043;
        double r22045 = fabs(r22044);
        double r22046 = 2.0;
        double r22047 = r22045 / r22046;
        return r22047;
}

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 2019303 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))