Average Error: 0.0 → 0.0
Time: 903.0ms
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 r537353 = 2.0;
        double r537354 = x;
        double r537355 = r537354 * r537354;
        double r537356 = y;
        double r537357 = r537354 * r537356;
        double r537358 = r537355 - r537357;
        double r537359 = r537353 * r537358;
        return r537359;
}
↓
double f(double x, double y) {
        double r537360 = x;
        double r537361 = y;
        double r537362 = r537360 - r537361;
        double r537363 = r537360 * r537362;
        double r537364 = 2.0;
        double r537365 = r537363 * r537364;
        return r537365;
}

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 2019356 
(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))))