Average Error: 0 → 0
Time: 400.0ms
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 r16981 = a;
        double r16982 = b;
        double r16983 = r16981 - r16982;
        double r16984 = fabs(r16983);
        double r16985 = 2.0;
        double r16986 = r16984 / r16985;
        return r16986;
}
↓
double f(double a, double b) {
        double r16987 = a;
        double r16988 = b;
        double r16989 = r16987 - r16988;
        double r16990 = fabs(r16989);
        double r16991 = 2.0;
        double r16992 = r16990 / r16991;
        return r16992;
}

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 2019354 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))