Average Error: 0.2 → 0.2
Time: 19.9s
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 r806302 = x;
        double r806303 = 3.0;
        double r806304 = r806302 * r806303;
        double r806305 = r806304 * r806302;
        return r806305;
}
↓
double f(double x) {
        double r806306 = x;
        double r806307 = 3.0;
        double r806308 = r806306 * r806307;
        double r806309 = r806308 * r806306;
        return r806309;
}

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 2019303 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))