Average Error: 0 → 0
Time: 1.6s
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 r8128432 = x;
        double r8128433 = 16.0;
        double r8128434 = r8128432 * r8128433;
        double r8128435 = r8128434 * r8128432;
        return r8128435;
}
↓
double f(double x) {
        double r8128436 = x;
        double r8128437 = 16.0;
        double r8128438 = r8128436 * r8128437;
        double r8128439 = r8128436 * r8128438;
        return r8128439;
}

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 2019168 +o rules:numerics
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  (* (* x 16.0) x))