Average Error: 0 → 0
Time: 1.0s
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 r11847 = a;
        double r11848 = b;
        double r11849 = r11847 - r11848;
        double r11850 = fabs(r11849);
        double r11851 = 2.0;
        double r11852 = r11850 / r11851;
        return r11852;
}
↓
double f(double a, double b) {
        double r11853 = a;
        double r11854 = b;
        double r11855 = r11853 - r11854;
        double r11856 = fabs(r11855);
        double r11857 = 2.0;
        double r11858 = r11856 / r11857;
        return r11858;
}

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 2019194 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2.0))