Average Error: 0 → 0
Time: 379.0ms
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 r16491 = a;
        double r16492 = b;
        double r16493 = r16491 - r16492;
        double r16494 = fabs(r16493);
        double r16495 = 2.0;
        double r16496 = r16494 / r16495;
        return r16496;
}
↓
double f(double a, double b) {
        double r16497 = a;
        double r16498 = b;
        double r16499 = r16497 - r16498;
        double r16500 = fabs(r16499);
        double r16501 = 2.0;
        double r16502 = r16500 / r16501;
        return r16502;
}

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 2020045 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))