Average Error: 0.0 → 0.0
Time: 1.0s
Precision: 64
\[x \cdot x + y \cdot y\]
↓
\[\sqrt{x \cdot x + y \cdot y} \cdot \sqrt{x \cdot x + y \cdot y}\]
x \cdot x + y \cdot y
↓
\sqrt{x \cdot x + y \cdot y} \cdot \sqrt{x \cdot x + y \cdot y}
double f(double x, double y) {
        double r157346 = x;
        double r157347 = r157346 * r157346;
        double r157348 = y;
        double r157349 = r157348 * r157348;
        double r157350 = r157347 + r157349;
        return r157350;
}
↓
double f(double x, double y) {
        double r157351 = x;
        double r157352 = r157351 * r157351;
        double r157353 = y;
        double r157354 = r157353 * r157353;
        double r157355 = r157352 + r157354;
        double r157356 = sqrt(r157355);
        double r157357 = r157356 * r157356;
        return r157357;
}

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

    \[x \cdot x + y \cdot y\]
  2. Using strategy rm

  3. Applied add-sqr-sqrt0.0

    \[\leadsto \color{blue}{\sqrt{x \cdot x + y \cdot y} \cdot \sqrt{x \cdot x + y \cdot y}}\]

  4. Final simplification0.0

    \[\leadsto \sqrt{x \cdot x + y \cdot y} \cdot \sqrt{x \cdot x + y \cdot y}\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y)
  :name "Graphics.Rasterific.Linear:$cquadrance from Rasterific-0.6.1"
  :precision binary64
  (+ (* x x) (* y y)))