Average Error: 0.3 → 0.3
Time: 3.0s
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 r1312692 = x;
        double r1312693 = 3.0;
        double r1312694 = r1312692 * r1312693;
        double r1312695 = y;
        double r1312696 = r1312694 * r1312695;
        double r1312697 = r1312696 * r1312695;
        return r1312697;
}
↓
double f(double x, double y) {
        double r1312698 = x;
        double r1312699 = 3.0;
        double r1312700 = r1312698 * r1312699;
        double r1312701 = y;
        double r1312702 = r1312700 * r1312701;
        double r1312703 = r1312702 * r1312701;
        return r1312703;
}

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
Target0.3
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 2020025 +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))