Average Error: 0 → 0
Time: 363.0ms
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 r16665 = a;
        double r16666 = b;
        double r16667 = r16665 - r16666;
        double r16668 = fabs(r16667);
        double r16669 = 2.0;
        double r16670 = r16668 / r16669;
        return r16670;
}
↓
double f(double a, double b) {
        double r16671 = a;
        double r16672 = b;
        double r16673 = r16671 - r16672;
        double r16674 = fabs(r16673);
        double r16675 = 2.0;
        double r16676 = r16674 / r16675;
        return r16676;
}

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 2020062 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))