Average Error: 0.0 → 0.0
Time: 6.0s
Precision: 64
\[2 \cdot \left(x \cdot x - x \cdot y\right)\]
↓
\[x \cdot \left(\left(x - y\right) \cdot 2\right)\]
2 \cdot \left(x \cdot x - x \cdot y\right)
↓
x \cdot \left(\left(x - y\right) \cdot 2\right)
double f(double x, double y) {
        double r346337 = 2.0;
        double r346338 = x;
        double r346339 = r346338 * r346338;
        double r346340 = y;
        double r346341 = r346338 * r346340;
        double r346342 = r346339 - r346341;
        double r346343 = r346337 * r346342;
        return r346343;
}
↓
double f(double x, double y) {
        double r346344 = x;
        double r346345 = y;
        double r346346 = r346344 - r346345;
        double r346347 = 2.0;
        double r346348 = r346346 * r346347;
        double r346349 = r346344 * r346348;
        return r346349;
}

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. Using strategy rm

  4. Applied associate-*l*0.0

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

  5. Final simplification0.0

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

Reproduce

herbie shell --seed 2019305 +o rules:numerics
(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))))