Average Error: 0.3 → 0.3
Time: 25.4s
Precision: 64
\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]
↓
\[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]
\left(\left(x \cdot 3\right) \cdot y\right) \cdot y
↓
\left(\left(x \cdot 3\right) \cdot y\right) \cdot y
double f(double x, double y) {
        double r533844 = x;
        double r533845 = 3.0;
        double r533846 = r533844 * r533845;
        double r533847 = y;
        double r533848 = r533846 * r533847;
        double r533849 = r533848 * r533847;
        return r533849;
}
↓
double f(double x, double y) {
        double r533850 = x;
        double r533851 = 3.0;
        double r533852 = r533850 * r533851;
        double r533853 = y;
        double r533854 = r533852 * r533853;
        double r533855 = r533854 * r533853;
        return r533855;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.3
Target0.2
Herbie0.3
\[\left(x \cdot \left(3 \cdot y\right)\right) \cdot y\]

Derivation

  1. Initial program 0.3

    \[\left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]

  2. Final simplification0.3

    \[\leadsto \left(\left(x \cdot 3\right) \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2019306 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Segment:$catParam from diagrams-lib-1.3.0.3, B"
  :precision binary64

  :herbie-target
  (* (* x (* 3 y)) y)

  (* (* (* x 3) y) y))