Average Error: 0.0 → 0.0
Time: 1.3s
Precision: 64
\[2 \cdot \left(x \cdot x - x \cdot y\right)\]
↓
\[\left(x \cdot \left(x - y\right)\right) \cdot 2\]
2 \cdot \left(x \cdot x - x \cdot y\right)
↓
\left(x \cdot \left(x - y\right)\right) \cdot 2
double f(double x, double y) {
        double r572091 = 2.0;
        double r572092 = x;
        double r572093 = r572092 * r572092;
        double r572094 = y;
        double r572095 = r572092 * r572094;
        double r572096 = r572093 - r572095;
        double r572097 = r572091 * r572096;
        return r572097;
}
↓
double f(double x, double y) {
        double r572098 = x;
        double r572099 = y;
        double r572100 = r572098 - r572099;
        double r572101 = r572098 * r572100;
        double r572102 = 2.0;
        double r572103 = r572101 * r572102;
        return r572103;
}

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

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

  3. Final simplification0.0

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

Reproduce

herbie shell --seed 2020036 
(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))))