Average Error: 0.0 → 0.0
Time: 372.0ms
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 r44573 = x;
        double r44574 = y;
        double r44575 = r44573 - r44574;
        double r44576 = fabs(r44575);
        double r44577 = sqrt(r44576);
        return r44577;
}
↓
double f(double x, double y) {
        double r44578 = x;
        double r44579 = y;
        double r44580 = r44578 - r44579;
        double r44581 = fabs(r44580);
        double r44582 = sqrt(r44581);
        return r44582;
}

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 2020045 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))