Average Error: 0.3 → 0.3
Time: 28.9s
Precision: 64
\[\left(x \cdot 27\right) \cdot y\]
↓
\[x \cdot \left(y \cdot 27\right)\]
\left(x \cdot 27\right) \cdot y
↓
x \cdot \left(y \cdot 27\right)
double f(double x, double y) {
        double r20294 = x;
        double r20295 = 27.0;
        double r20296 = r20294 * r20295;
        double r20297 = y;
        double r20298 = r20296 * r20297;
        return r20298;
}
↓
double f(double x, double y) {
        double r20299 = x;
        double r20300 = y;
        double r20301 = 27.0;
        double r20302 = r20300 * r20301;
        double r20303 = r20299 * r20302;
        return r20303;
}

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

    \[\left(x \cdot 27\right) \cdot y\]
  2. Using strategy rm

  3. Applied associate-*l*0.3

    \[\leadsto \color{blue}{x \cdot \left(27 \cdot y\right)}\]

  4. Simplified0.3

    \[\leadsto x \cdot \color{blue}{\left(y \cdot 27\right)}\]

  5. Final simplification0.3

    \[\leadsto x \cdot \left(y \cdot 27\right)\]

Reproduce

herbie shell --seed 2019310 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, F"
  :precision binary64
  (* (* x 27) y))