Average Error: 0 → 0
Time: 775.0ms
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 r23156 = a;
        double r23157 = b;
        double r23158 = r23156 - r23157;
        double r23159 = fabs(r23158);
        double r23160 = 2.0;
        double r23161 = r23159 / r23160;
        return r23161;
}
↓
double f(double a, double b) {
        double r23162 = a;
        double r23163 = b;
        double r23164 = r23162 - r23163;
        double r23165 = fabs(r23164);
        double r23166 = 2.0;
        double r23167 = r23165 / r23166;
        return r23167;
}

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 2019325 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))