Average Error: 0.0 → 0.0
Time: 1.0s
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 r26445 = x;
        double r26446 = y;
        double r26447 = r26445 - r26446;
        double r26448 = fabs(r26447);
        double r26449 = sqrt(r26448);
        return r26449;
}
↓
double f(double x, double y) {
        double r26450 = x;
        double r26451 = y;
        double r26452 = r26450 - r26451;
        double r26453 = fabs(r26452);
        double r26454 = sqrt(r26453);
        return r26454;
}

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 2020002 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))