Average Error: 0.3 → 0.3
Time: 3.4s
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 r701756 = x;
        double r701757 = 3.0;
        double r701758 = r701756 * r701757;
        double r701759 = y;
        double r701760 = r701758 * r701759;
        double r701761 = r701760 * r701759;
        return r701761;
}
↓
double f(double x, double y) {
        double r701762 = x;
        double r701763 = 3.0;
        double r701764 = r701762 * r701763;
        double r701765 = y;
        double r701766 = r701764 * r701765;
        double r701767 = r701766 * r701765;
        return r701767;
}

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
Target0.2
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 2020100 +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))