Average Error: 0 → 0
Time: 947.0ms
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 r730032 = a;
        double r730033 = b;
        double r730034 = r730032 - r730033;
        double r730035 = fabs(r730034);
        double r730036 = 2.0;
        double r730037 = r730035 / r730036;
        return r730037;
}
↓
double f(double a, double b) {
        double r730038 = a;
        double r730039 = b;
        double r730040 = r730038 - r730039;
        double r730041 = fabs(r730040);
        double r730042 = 2.0;
        double r730043 = r730041 / r730042;
        return r730043;
}

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 2019170 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))