Average Error: 0.2 → 0.2
Time: 25.0s
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 r172297 = x;
        double r172298 = 3.0;
        double r172299 = r172297 * r172298;
        double r172300 = r172299 * r172297;
        return r172300;
}
↓
double f(double x) {
        double r172301 = x;
        double r172302 = 3.0;
        double r172303 = r172301 * r172302;
        double r172304 = r172303 * r172301;
        return r172304;
}

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 2019323 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))