Average Error: 0.2 → 0.2
Time: 3.0s
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 r228277 = x;
        double r228278 = 3.0;
        double r228279 = r228277 * r228278;
        double r228280 = r228279 * r228277;
        return r228280;
}
↓
double f(double x) {
        double r228281 = x;
        double r228282 = 3.0;
        double r228283 = r228281 * r228282;
        double r228284 = r228283 * r228281;
        return r228284;
}

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 2019362 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))