Average Error: 0 → 0
Time: 805.0ms
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 r8115 = x;
        double r8116 = 0.5;
        double r8117 = r8115 * r8116;
        double r8118 = r8117 * r8115;
        return r8118;
}
↓
double f(double x) {
        double r8119 = x;
        double r8120 = 0.5;
        double r8121 = r8119 * r8120;
        double r8122 = r8121 * r8119;
        return r8122;
}

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 2019310 +o rules:numerics
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  :precision binary64
  (* (* x 0.5) x))