Average Error: 0 → 0
Time: 1.2s
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 r8325 = x;
        double r8326 = 0.5;
        double r8327 = r8325 * r8326;
        double r8328 = r8327 * r8325;
        return r8328;
}
↓
double f(double x) {
        double r8329 = x;
        double r8330 = 0.5;
        double r8331 = r8329 * r8330;
        double r8332 = r8329 * r8331;
        return r8332;
}

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 2019158 
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  (* (* x 0.5) x))