Average Error: 0 → 0
Time: 501.0ms
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 r111659 = x;
        double r111660 = 16.0;
        double r111661 = r111659 * r111660;
        double r111662 = r111661 * r111659;
        return r111662;
}
↓
double f(double x) {
        double r111663 = x;
        double r111664 = 16.0;
        double r111665 = r111663 * r111664;
        double r111666 = r111665 * r111663;
        return r111666;
}

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 2020034 +o rules:numerics
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  :precision binary64
  (* (* x 16) x))