Average Error: 0 → 0
Time: 727.0ms
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 r120 = a;
        double r121 = b;
        double r122 = r120 - r121;
        double r123 = fabs(r122);
        double r124 = 2.0;
        double r125 = r123 / r124;
        return r125;
}
↓
double f(double a, double b) {
        double r126 = a;
        double r127 = b;
        double r128 = r126 - r127;
        double r129 = fabs(r128);
        double r130 = 2.0;
        double r131 = r129 / r130;
        return r131;
}

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 2020025 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))