Average Error: 0 → 0
Time: 610.0ms
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 r117124 = x;
        double r117125 = 16.0;
        double r117126 = r117124 * r117125;
        double r117127 = r117126 * r117124;
        return r117127;
}
↓
double f(double x) {
        double r117128 = x;
        double r117129 = 16.0;
        double r117130 = r117128 * r117129;
        double r117131 = r117130 * r117128;
        return r117131;
}

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 2019208 +o rules:numerics
(FPCore (x)
  :name "Graphics.Rasterific.CubicBezier:isSufficientlyFlat from Rasterific-0.6.1"
  :precision binary64
  (* (* x 16) x))