Average Error: 0.2 → 0.1
Time: 11.7s
Precision: 64
\[\left(x \cdot 3\right) \cdot y - z\]
↓
\[x \cdot \left(3 \cdot y\right) - z\]
\left(x \cdot 3\right) \cdot y - z
↓
x \cdot \left(3 \cdot y\right) - z
double f(double x, double y, double z) {
        double r47421754 = x;
        double r47421755 = 3.0;
        double r47421756 = r47421754 * r47421755;
        double r47421757 = y;
        double r47421758 = r47421756 * r47421757;
        double r47421759 = z;
        double r47421760 = r47421758 - r47421759;
        return r47421760;
}
↓
double f(double x, double y, double z) {
        double r47421761 = x;
        double r47421762 = 3.0;
        double r47421763 = y;
        double r47421764 = r47421762 * r47421763;
        double r47421765 = r47421761 * r47421764;
        double r47421766 = z;
        double r47421767 = r47421765 - r47421766;
        return r47421767;
}

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

Original0.2
Target0.1
Herbie0.1
\[x \cdot \left(3 \cdot y\right) - z\]

Derivation

  1. Initial program 0.2

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

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

Reproduce

herbie shell --seed 2019174 +o rules:numerics
(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))