Average Error: 0 → 0
Time: 741.0ms
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 r11226 = a;
        double r11227 = b;
        double r11228 = r11226 - r11227;
        double r11229 = fabs(r11228);
        double r11230 = 2.0;
        double r11231 = r11229 / r11230;
        return r11231;
}
↓
double f(double a, double b) {
        double r11232 = a;
        double r11233 = b;
        double r11234 = r11232 - r11233;
        double r11235 = fabs(r11234);
        double r11236 = 2.0;
        double r11237 = r11235 / r11236;
        return r11237;
}

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 2019326 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))