Average Error: 0.0 → 0.0
Time: 4.4s
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 r45305 = x;
        double r45306 = y;
        double r45307 = r45305 - r45306;
        double r45308 = fabs(r45307);
        double r45309 = sqrt(r45308);
        return r45309;
}
↓
double f(double x, double y) {
        double r45310 = x;
        double r45311 = y;
        double r45312 = r45310 - r45311;
        double r45313 = fabs(r45312);
        double r45314 = sqrt(r45313);
        return r45314;
}

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 2020047 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))