Average Error: 0 → 0
Time: 394.0ms
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 r17121 = a;
        double r17122 = b;
        double r17123 = r17121 - r17122;
        double r17124 = fabs(r17123);
        double r17125 = 2.0;
        double r17126 = r17124 / r17125;
        return r17126;
}
↓
double f(double a, double b) {
        double r17127 = a;
        double r17128 = b;
        double r17129 = r17127 - r17128;
        double r17130 = fabs(r17129);
        double r17131 = 2.0;
        double r17132 = r17130 / r17131;
        return r17132;
}

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 2020021 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))