Average Error: 0.2 → 0.2
Time: 3.7s
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 r236404 = x;
        double r236405 = 3.0;
        double r236406 = r236404 * r236405;
        double r236407 = r236406 * r236404;
        return r236407;
}
↓
double f(double x) {
        double r236408 = x;
        double r236409 = 3.0;
        double r236410 = r236408 * r236409;
        double r236411 = r236410 * r236408;
        return r236411;
}

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 2020100 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))