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

↓

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

x \cdot x + y \cdot y

↓

x \cdot x + y \cdot y

double f(double x, double y) {
        double r244217 = x;
        double r244218 = r244217 * r244217;
        double r244219 = y;
        double r244220 = r244219 * r244219;
        double r244221 = r244218 + r244220;
        return r244221;
}

↓

double f(double x, double y) {
        double r244222 = x;
        double r244223 = r244222 * r244222;
        double r244224 = y;
        double r244225 = r244224 * r244224;
        double r244226 = r244223 + r244225;
        return r244226;
}

Try it out

In
Out

Enter valid numbers for all inputs

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 2020042 
(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

Try it out

Derivation

Reproduce