Average Error: 0.0 → 0.0
Time: 547.0ms
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 r41232 = x;
        double r41233 = y;
        double r41234 = r41232 - r41233;
        double r41235 = fabs(r41234);
        double r41236 = sqrt(r41235);
        return r41236;
}
↓
double f(double x, double y) {
        double r41237 = x;
        double r41238 = y;
        double r41239 = r41237 - r41238;
        double r41240 = fabs(r41239);
        double r41241 = sqrt(r41240);
        return r41241;
}

Error

Bits error versus x

Bits error versus y

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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 2019353 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))