Average Error: 0.0 → 0.0
Time: 3.1s
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 r34960 = x;
        double r34961 = y;
        double r34962 = r34960 - r34961;
        double r34963 = fabs(r34962);
        double r34964 = sqrt(r34963);
        return r34964;
}
↓
double f(double x, double y) {
        double r34965 = x;
        double r34966 = y;
        double r34967 = r34965 - r34966;
        double r34968 = fabs(r34967);
        double r34969 = sqrt(r34968);
        return r34969;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))