Average Error: 0.0 → 0.0
Time: 7.2s
Precision: 64
\[\sqrt{\left|x - y\right|}\]
↓
\[\sqrt{\left|x - y\right|}\]
\sqrt{\left|x - y\right|}
↓
\sqrt{\left|x - y\right|}
double f(double x, double y) {
        double r30571 = x;
        double r30572 = y;
        double r30573 = r30571 - r30572;
        double r30574 = fabs(r30573);
        double r30575 = sqrt(r30574);
        return r30575;
}
↓
double f(double x, double y) {
        double r30576 = x;
        double r30577 = y;
        double r30578 = r30576 - r30577;
        double r30579 = fabs(r30578);
        double r30580 = sqrt(r30579);
        return r30580;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.0

    \[\sqrt{\left|x - y\right|}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\left|x - y\right|}\]

Reproduce

herbie shell --seed 2019304 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))