Average Error: 0.2 → 0.2
Time: 2.8s
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 r218451 = x;
        double r218452 = 3.0;
        double r218453 = r218451 * r218452;
        double r218454 = r218453 * r218451;
        return r218454;
}
↓
double f(double x) {
        double r218455 = x;
        double r218456 = 3.0;
        double r218457 = r218455 * r218456;
        double r218458 = r218457 * r218455;
        return r218458;
}

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 2020062 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))