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 r278442 = a;
        double r278443 = b;
        double r278444 = r278442 - r278443;
        double r278445 = fabs(r278444);
        double r278446 = 2.0;
        double r278447 = r278445 / r278446;
        return r278447;
}
↓
double f(double a, double b) {
        double r278448 = a;
        double r278449 = b;
        double r278450 = r278448 - r278449;
        double r278451 = fabs(r278450);
        double r278452 = 2.0;
        double r278453 = r278451 / r278452;
        return r278453;
}

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 2019130 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))