Average Error: 0.2 → 0.2
Time: 22.3s
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 r121964 = x;
        double r121965 = 3.0;
        double r121966 = r121964 * r121965;
        double r121967 = r121966 * r121964;
        return r121967;
}
↓
double f(double x) {
        double r121968 = x;
        double r121969 = 3.0;
        double r121970 = r121968 * r121969;
        double r121971 = r121970 * r121968;
        return r121971;
}

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