\[x \cdot x + y \cdot y\]

↓

\[x \cdot x + y \cdot y\]

x \cdot x + y \cdot y

↓

x \cdot x + y \cdot y

double f(double x, double y) {
        double r171907 = x;
        double r171908 = r171907 * r171907;
        double r171909 = y;
        double r171910 = r171909 * r171909;
        double r171911 = r171908 + r171910;
        return r171911;
}

↓

double f(double x, double y) {
        double r171912 = x;
        double r171913 = r171912 * r171912;
        double r171914 = y;
        double r171915 = r171914 * r171914;
        double r171916 = r171913 + r171915;
        return r171916;
}

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In
Out

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Derivation

Initial program 0.0
\[x \cdot x + y \cdot y\]
Final simplification0.0
\[\leadsto x \cdot x + y \cdot y\]

Reproduce

herbie shell --seed 2019351 +o rules:numerics
(FPCore (x y)
  :name "Graphics.Rasterific.Linear:$cquadrance from Rasterific-0.6.1"
  :precision binary64
  (+ (* x x) (* y y)))

Falling back on racket egraph because egg-herbie package not installed (more)

Error

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Derivation

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