Average Error: 0.0 → 0.0
Time: 14.9s
Precision: 64
\[2.0 \cdot \left(x \cdot x - x \cdot y\right)\]
↓
\[\left(\left(x - y\right) \cdot 2.0\right) \cdot x\]
2.0 \cdot \left(x \cdot x - x \cdot y\right)
↓
\left(\left(x - y\right) \cdot 2.0\right) \cdot x
double f(double x, double y) {
        double r24139857 = 2.0;
        double r24139858 = x;
        double r24139859 = r24139858 * r24139858;
        double r24139860 = y;
        double r24139861 = r24139858 * r24139860;
        double r24139862 = r24139859 - r24139861;
        double r24139863 = r24139857 * r24139862;
        return r24139863;
}
↓
double f(double x, double y) {
        double r24139864 = x;
        double r24139865 = y;
        double r24139866 = r24139864 - r24139865;
        double r24139867 = 2.0;
        double r24139868 = r24139866 * r24139867;
        double r24139869 = r24139868 * r24139864;
        return r24139869;
}

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
\[\left(x \cdot 2.0\right) \cdot \left(x - y\right)\]

Derivation

  1. Initial program 0.0

    \[2.0 \cdot \left(x \cdot x - x \cdot y\right)\]

  2. Simplified0.0

    \[\leadsto \color{blue}{x \cdot \left(\left(x - y\right) \cdot 2.0\right)}\]

  3. Final simplification0.0

    \[\leadsto \left(\left(x - y\right) \cdot 2.0\right) \cdot x\]

Reproduce

herbie shell --seed 2019165 +o rules:numerics
(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))))