Average Error: 0 → 0
Time: 813.0ms
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 r9077 = a;
        double r9078 = b;
        double r9079 = r9077 - r9078;
        double r9080 = fabs(r9079);
        double r9081 = 2.0;
        double r9082 = r9080 / r9081;
        return r9082;
}
↓
double f(double a, double b) {
        double r9083 = a;
        double r9084 = b;
        double r9085 = r9083 - r9084;
        double r9086 = fabs(r9085);
        double r9087 = 2.0;
        double r9088 = r9086 / r9087;
        return r9088;
}

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 2019310 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))