Average Error: 0 → 0
Time: 377.0ms
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 r18344 = a;
        double r18345 = b;
        double r18346 = r18344 - r18345;
        double r18347 = fabs(r18346);
        double r18348 = 2.0;
        double r18349 = r18347 / r18348;
        return r18349;
}
↓
double f(double a, double b) {
        double r18350 = a;
        double r18351 = b;
        double r18352 = r18350 - r18351;
        double r18353 = fabs(r18352);
        double r18354 = 2.0;
        double r18355 = r18353 / r18354;
        return r18355;
}

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 2020047 
(FPCore (a b)
  :name "fabs fraction 2"
  :precision binary64
  (/ (fabs (- a b)) 2))