Average Error: 0.2 → 0.2
Time: 2.9s
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 r268106 = x;
        double r268107 = 3.0;
        double r268108 = r268106 * r268107;
        double r268109 = r268108 * r268106;
        return r268109;
}
↓
double f(double x) {
        double r268110 = x;
        double r268111 = 3.0;
        double r268112 = r268110 * r268111;
        double r268113 = r268112 * r268110;
        return r268113;
}

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 2020024 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))