Average Error: 0.0 → 0.0
Time: 15.2s
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 r12729 = x;
        double r12730 = y;
        double r12731 = r12729 - r12730;
        double r12732 = fabs(r12731);
        double r12733 = sqrt(r12732);
        return r12733;
}
↓
double f(double x, double y) {
        double r12734 = x;
        double r12735 = y;
        double r12736 = r12734 - r12735;
        double r12737 = fabs(r12736);
        double r12738 = sqrt(r12737);
        return r12738;
}

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 2019315 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))