Average Error: 0.0 → 0.0
Time: 375.0ms
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 r32379 = x;
        double r32380 = y;
        double r32381 = r32379 - r32380;
        double r32382 = fabs(r32381);
        double r32383 = sqrt(r32382);
        return r32383;
}
↓
double f(double x, double y) {
        double r32384 = x;
        double r32385 = y;
        double r32386 = r32384 - r32385;
        double r32387 = fabs(r32386);
        double r32388 = sqrt(r32387);
        return r32388;
}

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 2020060 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))