Average Error: 0.3 → 0.3
Time: 27.8s
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 r29728972 = x;
        double r29728973 = 27.0;
        double r29728974 = r29728972 * r29728973;
        double r29728975 = y;
        double r29728976 = r29728974 * r29728975;
        return r29728976;
}
↓
double f(double x, double y) {
        double r29728977 = x;
        double r29728978 = 27.0;
        double r29728979 = y;
        double r29728980 = r29728978 * r29728979;
        double r29728981 = r29728977 * r29728980;
        return r29728981;
}

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 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, F"
  (* (* x 27.0) y))