Average Error: 0 → 0
Time: 1.0s
Precision: 64
\[\left(x \cdot 0.5\right) \cdot x\]
↓
\[x \cdot \left(x \cdot 0.5\right)\]
\left(x \cdot 0.5\right) \cdot x
↓
x \cdot \left(x \cdot 0.5\right)
double f(double x) {
        double r8322 = x;
        double r8323 = 0.5;
        double r8324 = r8322 * r8323;
        double r8325 = r8324 * r8322;
        return r8325;
}
↓
double f(double x) {
        double r8326 = x;
        double r8327 = 0.5;
        double r8328 = r8326 * r8327;
        double r8329 = r8326 * r8328;
        return r8329;
}

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

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

Reproduce

herbie shell --seed 2019156 
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  (* (* x 0.5) x))