Average Error: 0.0 → 0.0
Time: 991.0ms
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 r25202 = x;
        double r25203 = y;
        double r25204 = r25202 - r25203;
        double r25205 = fabs(r25204);
        double r25206 = sqrt(r25205);
        return r25206;
}
↓
double f(double x, double y) {
        double r25207 = x;
        double r25208 = y;
        double r25209 = r25207 - r25208;
        double r25210 = fabs(r25209);
        double r25211 = sqrt(r25210);
        return r25211;
}

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 2020020 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))