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 r225214 = x;
        double r225215 = 3.0;
        double r225216 = r225214 * r225215;
        double r225217 = r225216 * r225214;
        return r225217;
}
↓
double f(double x) {
        double r225218 = x;
        double r225219 = 3.0;
        double r225220 = r225218 * r225219;
        double r225221 = r225220 * r225218;
        return r225221;
}

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 2020039 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))