Average Error: 0.0 → 0.0
Time: 1.8s
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 r26097 = x;
        double r26098 = y;
        double r26099 = r26097 - r26098;
        double r26100 = fabs(r26099);
        double r26101 = sqrt(r26100);
        return r26101;
}
↓
double f(double x, double y) {
        double r26102 = x;
        double r26103 = y;
        double r26104 = r26102 - r26103;
        double r26105 = fabs(r26104);
        double r26106 = sqrt(r26105);
        return r26106;
}

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 2019356 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))