Average Error: 0 → 0
Time: 481.0ms
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 r19635 = a;
        double r19636 = b;
        double r19637 = r19635 - r19636;
        double r19638 = fabs(r19637);
        double r19639 = 2.0;
        double r19640 = r19638 / r19639;
        return r19640;
}
↓
double f(double a, double b) {
        double r19641 = a;
        double r19642 = b;
        double r19643 = r19641 - r19642;
        double r19644 = fabs(r19643);
        double r19645 = 2.0;
        double r19646 = r19644 / r19645;
        return r19646;
}

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 2020034 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))