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 r57964 = x;
        double r57965 = y;
        double r57966 = r57964 - r57965;
        double r57967 = fabs(r57966);
        double r57968 = sqrt(r57967);
        return r57968;
}
↓
double f(double x, double y) {
        double r57969 = x;
        double r57970 = y;
        double r57971 = r57969 - r57970;
        double r57972 = fabs(r57971);
        double r57973 = sqrt(r57972);
        return r57973;
}

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 2020046 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))