Average Error: 0 → 0
Time: 557.0ms
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 r9837519 = x;
        double r9837520 = 16.0;
        double r9837521 = r9837519 * r9837520;
        double r9837522 = r9837521 * r9837519;
        return r9837522;
}
↓
double f(double x) {
        double r9837523 = x;
        double r9837524 = 16.0;
        double r9837525 = r9837523 * r9837524;
        double r9837526 = r9837523 * r9837525;
        return r9837526;
}

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 2019164 +o rules:numerics
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  (* (* x 16.0) x))