Average Error: 0 → 0
Time: 353.0ms
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 r18242 = a;
        double r18243 = b;
        double r18244 = r18242 - r18243;
        double r18245 = fabs(r18244);
        double r18246 = 2.0;
        double r18247 = r18245 / r18246;
        return r18247;
}
↓
double f(double a, double b) {
        double r18248 = a;
        double r18249 = b;
        double r18250 = r18248 - r18249;
        double r18251 = fabs(r18250);
        double r18252 = 2.0;
        double r18253 = r18251 / r18252;
        return r18253;
}

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 2020046 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))