Average Error: 0 → 0
Time: 1.3s
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 r8122 = x;
        double r8123 = 0.5;
        double r8124 = r8122 * r8123;
        double r8125 = r8124 * r8122;
        return r8125;
}
↓
double f(double x) {
        double r8126 = x;
        double r8127 = 0.5;
        double r8128 = r8126 * r8127;
        double r8129 = r8128 * r8126;
        return r8129;
}

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 2019303 
(FPCore (x)
  :name "System.Random.MWC.Distributions:blocks from mwc-random-0.13.3.2"
  :precision binary64
  (* (* x 0.5) x))