Average Error: 0.0 → 0.0
Time: 8.3s
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 r357652 = 2.0;
        double r357653 = x;
        double r357654 = r357653 * r357653;
        double r357655 = y;
        double r357656 = r357653 * r357655;
        double r357657 = r357654 - r357656;
        double r357658 = r357652 * r357657;
        return r357658;
}
↓
double f(double x, double y) {
        double r357659 = x;
        double r357660 = y;
        double r357661 = r357659 - r357660;
        double r357662 = r357659 * r357661;
        double r357663 = 2.0;
        double r357664 = r357662 * r357663;
        return r357664;
}

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 2019322 
(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))))