Average Error: 0.2 → 0.2
Time: 12.2s
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 r222223 = x;
        double r222224 = 3.0;
        double r222225 = r222223 * r222224;
        double r222226 = r222225 * r222223;
        return r222226;
}

double f(double x) {
        double r222227 = x;
        double r222228 = 3.0;
        double r222229 = r222227 * r222228;
        double r222230 = r222229 * r222227;
        return r222230;
}

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 2020047 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))