Average Error: 0 → 0
Time: 690.0ms
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 r179968 = a;
        double r179969 = b;
        double r179970 = r179968 - r179969;
        double r179971 = fabs(r179970);
        double r179972 = 2.0;
        double r179973 = r179971 / r179972;
        return r179973;
}
↓
double f(double a, double b) {
        double r179974 = a;
        double r179975 = b;
        double r179976 = r179974 - r179975;
        double r179977 = fabs(r179976);
        double r179978 = 2.0;
        double r179979 = r179977 / r179978;
        return r179979;
}

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 2019164 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))