Average Error: 0.3 → 0.3
Time: 27.1s
Precision: 64
\[\left(x \cdot 27\right) \cdot y\]
↓
\[x \cdot \left(27 \cdot y\right)\]
\left(x \cdot 27\right) \cdot y
↓
x \cdot \left(27 \cdot y\right)
double f(double x, double y) {
        double r46229167 = x;
        double r46229168 = 27.0;
        double r46229169 = r46229167 * r46229168;
        double r46229170 = y;
        double r46229171 = r46229169 * r46229170;
        return r46229171;
}
↓
double f(double x, double y) {
        double r46229172 = x;
        double r46229173 = 27.0;
        double r46229174 = y;
        double r46229175 = r46229173 * r46229174;
        double r46229176 = r46229172 * r46229175;
        return r46229176;
}

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. Final simplification0.3

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

Reproduce

herbie shell --seed 2019173 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, F"
  (* (* x 27.0) y))