Average Error: 0.2 → 0.2
Time: 15.5s
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 r132035 = x;
        double r132036 = 3.0;
        double r132037 = r132035 * r132036;
        double r132038 = r132037 * r132035;
        return r132038;
}
↓
double f(double x) {
        double r132039 = x;
        double r132040 = 3.0;
        double r132041 = r132039 * r132040;
        double r132042 = r132041 * r132039;
        return r132042;
}

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 2019326 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))