Average Error: 0 → 0
Time: 787.0ms
Precision: 64
\[\left(x \cdot 0.5\right) \cdot x\]
↓
\[\left(x \cdot 0.5\right) \cdot x\]
\left(x \cdot 0.5\right) \cdot x
↓
\left(x \cdot 0.5\right) \cdot x
double f(double x) {
        double r64 = x;
        double r65 = 0.5;
        double r66 = r64 * r65;
        double r67 = r66 * r64;
        return r67;
}
↓
double f(double x) {
        double r68 = x;
        double r69 = 0.5;
        double r70 = r68 * r69;
        double r71 = r70 * r68;
        return r71;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0

    \[\left(x \cdot 0.5\right) \cdot x\]

  2. Final simplification0

    \[\leadsto \left(x \cdot 0.5\right) \cdot x\]

Reproduce

herbie shell --seed 2020025 +o rules:numerics
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  :precision binary64
  (* (* x 0.5) x))