Average Error: 0 → 0
Time: 1.1s
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 r356266 = a;
        double r356267 = b;
        double r356268 = r356266 - r356267;
        double r356269 = fabs(r356268);
        double r356270 = 2.0;
        double r356271 = r356269 / r356270;
        return r356271;
}
↓
double f(double a, double b) {
        double r356272 = a;
        double r356273 = b;
        double r356274 = r356272 - r356273;
        double r356275 = fabs(r356274);
        double r356276 = 2.0;
        double r356277 = r356275 / r356276;
        return r356277;
}

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 2019134 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))