Average Error: 0 → 0
Time: 867.0ms
Precision: 64
\[\left(x \cdot 16\right) \cdot x\]
↓
\[x \cdot \left(x \cdot 16\right)\]
\left(x \cdot 16\right) \cdot x
↓
x \cdot \left(x \cdot 16\right)
double f(double x) {
        double r11325688 = x;
        double r11325689 = 16.0;
        double r11325690 = r11325688 * r11325689;
        double r11325691 = r11325690 * r11325688;
        return r11325691;
}
↓
double f(double x) {
        double r11325692 = x;
        double r11325693 = 16.0;
        double r11325694 = r11325692 * r11325693;
        double r11325695 = r11325692 * r11325694;
        return r11325695;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\left(x \cdot 16\right) \cdot x\]

  2. Final simplification0

    \[\leadsto x \cdot \left(x \cdot 16\right)\]

Reproduce

herbie shell --seed 2019172 +o rules:numerics
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  (* (* x 16.0) x))