Average Error: 0.0 → 0.0
Time: 25.9s
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 r26187905 = 2.0;
        double r26187906 = x;
        double r26187907 = r26187906 * r26187906;
        double r26187908 = y;
        double r26187909 = r26187906 * r26187908;
        double r26187910 = r26187907 + r26187909;
        double r26187911 = r26187905 * r26187910;
        return r26187911;
}
↓
double f(double x, double y) {
        double r26187912 = x;
        double r26187913 = y;
        double r26187914 = r26187912 + r26187913;
        double r26187915 = 2.0;
        double r26187916 = r26187915 * r26187912;
        double r26187917 = r26187914 * r26187916;
        return r26187917;
}

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, B"

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

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