Average Error: 0 → 0
Time: 954.0ms
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 r289406 = a;
        double r289407 = b;
        double r289408 = r289406 - r289407;
        double r289409 = fabs(r289408);
        double r289410 = 2.0;
        double r289411 = r289409 / r289410;
        return r289411;
}
↓
double f(double a, double b) {
        double r289412 = a;
        double r289413 = b;
        double r289414 = r289412 - r289413;
        double r289415 = fabs(r289414);
        double r289416 = 2.0;
        double r289417 = r289415 / r289416;
        return r289417;
}

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 2019144 +o rules:numerics
(FPCore (a b)
  :name "fabs fraction 2"
  (/ (fabs (- a b)) 2))