Average Error: 0.2 → 0.2
Time: 2.8s
Precision: 64
\[\left(x \cdot 3\right) \cdot x\]
↓
\[\left(x \cdot 3\right) \cdot x\]
\left(x \cdot 3\right) \cdot x
↓
\left(x \cdot 3\right) \cdot x
double f(double x) {
        double r222820 = x;
        double r222821 = 3.0;
        double r222822 = r222820 * r222821;
        double r222823 = r222822 * r222820;
        return r222823;
}
↓
double f(double x) {
        double r222824 = x;
        double r222825 = 3.0;
        double r222826 = r222824 * r222825;
        double r222827 = r222826 * r222824;
        return r222827;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(x \cdot 3\right) \cdot x\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot 3\right) \cdot x\]

Reproduce

herbie shell --seed 2020062 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))