Average Error: 0 → 0
Time: 703.0ms
Precision: 64
\[\left(x \cdot 16\right) \cdot x\]
↓
\[\left(x \cdot 16\right) \cdot x\]
\left(x \cdot 16\right) \cdot x
↓
\left(x \cdot 16\right) \cdot x
double f(double x) {
        double r127975 = x;
        double r127976 = 16.0;
        double r127977 = r127975 * r127976;
        double r127978 = r127977 * r127975;
        return r127978;
}
↓
double f(double x) {
        double r127979 = x;
        double r127980 = 16.0;
        double r127981 = r127979 * r127980;
        double r127982 = r127981 * r127979;
        return r127982;
}

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

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

Reproduce

herbie shell --seed 2019209 +o rules:numerics
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  :precision binary64
  (* (* x 16) x))