Average Error: 0 → 0
Time: 955.0ms
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 r8022 = x;
        double r8023 = 0.5;
        double r8024 = r8022 * r8023;
        double r8025 = r8024 * r8022;
        return r8025;
}
↓
double f(double x) {
        double r8026 = x;
        double r8027 = 0.5;
        double r8028 = r8026 * r8027;
        double r8029 = r8026 * r8028;
        return r8029;
}

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 2019174 
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  (* (* x 0.5) x))