Average Error: 0.2 → 0.2
Time: 17.1s
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 r117911 = x;
        double r117912 = 3.0;
        double r117913 = r117911 * r117912;
        double r117914 = r117913 * r117911;
        return r117914;
}
↓
double f(double x) {
        double r117915 = x;
        double r117916 = 3.0;
        double r117917 = r117915 * r117916;
        double r117918 = r117917 * r117915;
        return r117918;
}

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 2019347 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))