Average Error: 0.0 → 0.0
Time: 388.0ms
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 r1185 = x;
        double r1186 = y;
        double r1187 = r1185 - r1186;
        double r1188 = fabs(r1187);
        double r1189 = sqrt(r1188);
        return r1189;
}
↓
double f(double x, double y) {
        double r1190 = x;
        double r1191 = y;
        double r1192 = r1190 - r1191;
        double r1193 = fabs(r1192);
        double r1194 = sqrt(r1193);
        return r1194;
}

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 2020045 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))