Average Error: 0.3 → 0.3
Time: 11.3s
Precision: 64
\[\left(x \cdot 27.0\right) \cdot y\]
↓
\[\left(y \cdot 27.0\right) \cdot x\]
\left(x \cdot 27.0\right) \cdot y
↓
\left(y \cdot 27.0\right) \cdot x
double f(double x, double y) {
        double r12505285 = x;
        double r12505286 = 27.0;
        double r12505287 = r12505285 * r12505286;
        double r12505288 = y;
        double r12505289 = r12505287 * r12505288;
        return r12505289;
}
↓
double f(double x, double y) {
        double r12505290 = y;
        double r12505291 = 27.0;
        double r12505292 = r12505290 * r12505291;
        double r12505293 = x;
        double r12505294 = r12505292 * r12505293;
        return r12505294;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.3

    \[\left(x \cdot 27.0\right) \cdot y\]
  2. Using strategy rm

  3. Applied associate-*l*0.3

    \[\leadsto \color{blue}{x \cdot \left(27.0 \cdot y\right)}\]

  4. Final simplification0.3

    \[\leadsto \left(y \cdot 27.0\right) \cdot x\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, F"
  (* (* x 27.0) y))