Average Error: 0.3 → 0.3
Time: 2.6s
Precision: 64
\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]
↓
\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]
\left(\left(x \cdot 3\right) \cdot y\right) \cdot y
↓
\left(\left(x \cdot 3\right) \cdot y\right) \cdot y
double f(double x, double y) {
        double r791621 = x;
        double r791622 = 3.0;
        double r791623 = r791621 * r791622;
        double r791624 = y;
        double r791625 = r791623 * r791624;
        double r791626 = r791625 * r791624;
        return r791626;
}
↓
double f(double x, double y) {
        double r791627 = x;
        double r791628 = 3.0;
        double r791629 = r791627 * r791628;
        double r791630 = y;
        double r791631 = r791629 * r791630;
        double r791632 = r791631 * r791630;
        return r791632;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.3
Herbie0.3
\[\left(x \cdot \left(3 \cdot y\right)\right) \cdot y\]

Derivation

  1. Initial program 0.3

    \[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]

  2. Final simplification0.3

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

Reproduce

herbie shell --seed 2020002 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, B"
  :precision binary64

  :herbie-target
  (* (* x (* 3 y)) y)

  (* (* (* x 3) y) y))