Average Error: 0 → 0
Time: 1.0s
Precision: 64
\[\left(x \cdot 16.0\right) \cdot x\]
↓
\[x \cdot \left(x \cdot 16.0\right)\]
\left(x \cdot 16.0\right) \cdot x
↓
x \cdot \left(x \cdot 16.0\right)
double f(double x) {
        double r2868983 = x;
        double r2868984 = 16.0;
        double r2868985 = r2868983 * r2868984;
        double r2868986 = r2868985 * r2868983;
        return r2868986;
}
↓
double f(double x) {
        double r2868987 = x;
        double r2868988 = 16.0;
        double r2868989 = r2868987 * r2868988;
        double r2868990 = r2868987 * r2868989;
        return r2868990;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\left(x \cdot 16.0\right) \cdot x\]

  2. Final simplification0

    \[\leadsto x \cdot \left(x \cdot 16.0\right)\]

Reproduce

herbie shell --seed 2019156 +o rules:numerics
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  (* (* x 16.0) x))