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 r8156 = x;
        double r8157 = 0.5;
        double r8158 = r8156 * r8157;
        double r8159 = r8158 * r8156;
        return r8159;
}
↓
double f(double x) {
        double r8160 = x;
        double r8161 = 0.5;
        double r8162 = r8160 * r8161;
        double r8163 = r8160 * r8162;
        return r8163;
}

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 2019169 +o rules:numerics
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  (* (* x 0.5) x))