Average Error: 0.0 → 0.0
Time: 5.3s
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 r26465 = x;
        double r26466 = y;
        double r26467 = r26465 - r26466;
        double r26468 = fabs(r26467);
        double r26469 = sqrt(r26468);
        return r26469;
}
↓
double f(double x, double y) {
        double r26470 = x;
        double r26471 = y;
        double r26472 = r26470 - r26471;
        double r26473 = fabs(r26472);
        double r26474 = sqrt(r26473);
        return r26474;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))