Average Error: 0.0 → 0.0
Time: 30.9s
Precision: 64
\[2 \cdot \left(x \cdot x - x \cdot y\right)\]
↓
\[\left(x - y\right) \cdot \left(2 \cdot x\right)\]
2 \cdot \left(x \cdot x - x \cdot y\right)
↓
\left(x - y\right) \cdot \left(2 \cdot x\right)
double f(double x, double y) {
        double r27885769 = 2.0;
        double r27885770 = x;
        double r27885771 = r27885770 * r27885770;
        double r27885772 = y;
        double r27885773 = r27885770 * r27885772;
        double r27885774 = r27885771 - r27885773;
        double r27885775 = r27885769 * r27885774;
        return r27885775;
}
↓
double f(double x, double y) {
        double r27885776 = x;
        double r27885777 = y;
        double r27885778 = r27885776 - r27885777;
        double r27885779 = 2.0;
        double r27885780 = r27885779 * r27885776;
        double r27885781 = r27885778 * r27885780;
        return r27885781;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2019168 
(FPCore (x y)
  :name "Linear.Matrix:fromQuaternion from linear-1.19.1.3, A"

  :herbie-target
  (* (* x 2.0) (- x y))

  (* 2.0 (- (* x x) (* x y))))