Average Error: 0 → 0
Time: 675.0ms
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 r8721745 = x;
        double r8721746 = 16.0;
        double r8721747 = r8721745 * r8721746;
        double r8721748 = r8721747 * r8721745;
        return r8721748;
}
↓
double f(double x) {
        double r8721749 = x;
        double r8721750 = 16.0;
        double r8721751 = r8721749 * r8721750;
        double r8721752 = r8721749 * r8721751;
        return r8721752;
}

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 2019179 +o rules:numerics
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  (* (* x 16.0) x))