Average Error: 0.0 → 0.0
Time: 1.0s
Precision: 64
\[2 \cdot \left(x \cdot x - x \cdot y\right)\]
↓
\[\left(2 \cdot x\right) \cdot \left(x - y\right)\]
2 \cdot \left(x \cdot x - x \cdot y\right)
↓
\left(2 \cdot x\right) \cdot \left(x - y\right)
double f(double x, double y) {
        double r441855 = 2.0;
        double r441856 = x;
        double r441857 = r441856 * r441856;
        double r441858 = y;
        double r441859 = r441856 * r441858;
        double r441860 = r441857 - r441859;
        double r441861 = r441855 * r441860;
        return r441861;
}
↓
double f(double x, double y) {
        double r441862 = 2.0;
        double r441863 = x;
        double r441864 = r441862 * r441863;
        double r441865 = y;
        double r441866 = r441863 - r441865;
        double r441867 = r441864 * r441866;
        return r441867;
}

Error

Bits error versus x

Bits error versus y

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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. Using strategy rm

  3. Applied distribute-lft-out--0.0

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

  4. Applied associate-*r*0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2020002 
(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))))