Average Error: 0.2 → 0.1
Time: 12.1s
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 r31421654 = x;
        double r31421655 = 3.0;
        double r31421656 = r31421654 * r31421655;
        double r31421657 = y;
        double r31421658 = r31421656 * r31421657;
        double r31421659 = z;
        double r31421660 = r31421658 - r31421659;
        return r31421660;
}
↓
double f(double x, double y, double z) {
        double r31421661 = y;
        double r31421662 = 3.0;
        double r31421663 = r31421661 * r31421662;
        double r31421664 = x;
        double r31421665 = r31421663 * r31421664;
        double r31421666 = z;
        double r31421667 = r31421665 - r31421666;
        return r31421667;
}

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

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

Reproduce

herbie shell --seed 2019179 +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))