Average Error: 0.2 → 0.2
Time: 10.0s
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 r142132 = x;
        double r142133 = 3.0;
        double r142134 = r142132 * r142133;
        double r142135 = r142134 * r142132;
        return r142135;
}
↓
double f(double x) {
        double r142136 = x;
        double r142137 = 3.0;
        double r142138 = r142136 * r142137;
        double r142139 = r142138 * r142136;
        return r142139;
}

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 2019305 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))