Average Error: 0 → 0
Time: 902.0ms
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 r331166 = a;
        double r331167 = b;
        double r331168 = r331166 - r331167;
        double r331169 = fabs(r331168);
        double r331170 = 2.0;
        double r331171 = r331169 / r331170;
        return r331171;
}
↓
double f(double a, double b) {
        double r331172 = a;
        double r331173 = b;
        double r331174 = r331172 - r331173;
        double r331175 = fabs(r331174);
        double r331176 = 2.0;
        double r331177 = r331175 / r331176;
        return r331177;
}

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 2019135 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))