Average Error: 0 → 0
Time: 872.0ms
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 r59154 = a;
        double r59155 = b;
        double r59156 = r59154 - r59155;
        double r59157 = fabs(r59156);
        double r59158 = 2.0;
        double r59159 = r59157 / r59158;
        return r59159;
}
↓
double f(double a, double b) {
        double r59160 = a;
        double r59161 = b;
        double r59162 = r59160 - r59161;
        double r59163 = fabs(r59162);
        double r59164 = 2.0;
        double r59165 = r59163 / r59164;
        return r59165;
}

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 2019153 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))