Average Error: 0 → 0
Time: 409.0ms
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 r16295 = a;
        double r16296 = b;
        double r16297 = r16295 - r16296;
        double r16298 = fabs(r16297);
        double r16299 = 2.0;
        double r16300 = r16298 / r16299;
        return r16300;
}
↓
double f(double a, double b) {
        double r16301 = a;
        double r16302 = b;
        double r16303 = r16301 - r16302;
        double r16304 = fabs(r16303);
        double r16305 = 2.0;
        double r16306 = r16304 / r16305;
        return r16306;
}

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 2020064 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))