Average Error: 0 → 0
Time: 401.0ms
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 r16978 = a;
        double r16979 = b;
        double r16980 = r16978 - r16979;
        double r16981 = fabs(r16980);
        double r16982 = 2.0;
        double r16983 = r16981 / r16982;
        return r16983;
}
↓
double f(double a, double b) {
        double r16984 = a;
        double r16985 = b;
        double r16986 = r16984 - r16985;
        double r16987 = fabs(r16986);
        double r16988 = 2.0;
        double r16989 = r16987 / r16988;
        return r16989;
}

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 2019351 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))