Average Error: 0 → 0
Time: 408.0ms
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 r18189 = a;
        double r18190 = b;
        double r18191 = r18189 - r18190;
        double r18192 = fabs(r18191);
        double r18193 = 2.0;
        double r18194 = r18192 / r18193;
        return r18194;
}
↓
double f(double a, double b) {
        double r18195 = a;
        double r18196 = b;
        double r18197 = r18195 - r18196;
        double r18198 = fabs(r18197);
        double r18199 = 2.0;
        double r18200 = r18198 / r18199;
        return r18200;
}

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 2019352 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))