Average Error: 0.0 → 0.0
Time: 660.0ms
Precision: 64
\[2 \cdot \left(x \cdot x - x \cdot y\right)\]
↓
\[\left(x \cdot \left(x - y\right)\right) \cdot 2\]
2 \cdot \left(x \cdot x - x \cdot y\right)
↓
\left(x \cdot \left(x - y\right)\right) \cdot 2
double f(double x, double y) {
        double r594684 = 2.0;
        double r594685 = x;
        double r594686 = r594685 * r594685;
        double r594687 = y;
        double r594688 = r594685 * r594687;
        double r594689 = r594686 - r594688;
        double r594690 = r594684 * r594689;
        return r594690;
}
↓
double f(double x, double y) {
        double r594691 = x;
        double r594692 = y;
        double r594693 = r594691 - r594692;
        double r594694 = r594691 * r594693;
        double r594695 = 2.0;
        double r594696 = r594694 * r594695;
        return r594696;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\left(x \cdot 2\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.0

    \[2 \cdot \left(x \cdot x - x \cdot y\right)\]

  2. Simplified0.0

    \[\leadsto \color{blue}{\left(x \cdot \left(x - y\right)\right) \cdot 2}\]

  3. Final simplification0.0

    \[\leadsto \left(x \cdot \left(x - y\right)\right) \cdot 2\]

Reproduce

herbie shell --seed 2020062 
(FPCore (x y)
  :name "Linear.Matrix:fromQuaternion from linear-1.19.1.3, A"
  :precision binary64

  :herbie-target
  (* (* x 2) (- x y))

  (* 2 (- (* x x) (* x y))))