Average Error: 0.0 → 0.0
Time: 5.1s
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 r22443745 = 2.0;
        double r22443746 = x;
        double r22443747 = r22443746 * r22443746;
        double r22443748 = y;
        double r22443749 = r22443746 * r22443748;
        double r22443750 = r22443747 + r22443749;
        double r22443751 = r22443745 * r22443750;
        return r22443751;
}
↓
double f(double x, double y) {
        double r22443752 = x;
        double r22443753 = y;
        double r22443754 = r22443752 + r22443753;
        double r22443755 = 2.0;
        double r22443756 = r22443755 * r22443752;
        double r22443757 = r22443754 * r22443756;
        return r22443757;
}

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 2019172 
(FPCore (x y)
  :name "Linear.Matrix:fromQuaternion from linear-1.19.1.3, B"

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

  (* 2.0 (+ (* x x) (* x y))))