Average Error: 0.1 → 0.1
Time: 39.5s
Precision: 64
\[\left(x \cdot 3\right) \cdot y - z\]
↓
\[\left(y \cdot 3\right) \cdot x - z\]
\left(x \cdot 3\right) \cdot y - z
↓
\left(y \cdot 3\right) \cdot x - z
double f(double x, double y, double z) {
        double r33435687 = x;
        double r33435688 = 3.0;
        double r33435689 = r33435687 * r33435688;
        double r33435690 = y;
        double r33435691 = r33435689 * r33435690;
        double r33435692 = z;
        double r33435693 = r33435691 - r33435692;
        return r33435693;
}
↓
double f(double x, double y, double z) {
        double r33435694 = y;
        double r33435695 = 3.0;
        double r33435696 = r33435694 * r33435695;
        double r33435697 = x;
        double r33435698 = r33435696 * r33435697;
        double r33435699 = z;
        double r33435700 = r33435698 - r33435699;
        return r33435700;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.1
Target0.1
Herbie0.1
\[x \cdot \left(3 \cdot y\right) - z\]

Derivation

  1. Initial program 0.1

    \[\left(x \cdot 3\right) \cdot y - z\]
  2. Using strategy rm

  3. Applied associate-*l*0.1

    \[\leadsto \color{blue}{x \cdot \left(3 \cdot y\right)} - z\]

  4. Final simplification0.1

    \[\leadsto \left(y \cdot 3\right) \cdot x - z\]

Reproduce

herbie shell --seed 2019200 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, B"

  :herbie-target
  (- (* x (* 3.0 y)) z)

  (- (* (* x 3.0) y) z))