Average Error: 0.3 → 0.3
Time: 15.3s
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 r728191 = x;
        double r728192 = 3.0;
        double r728193 = r728191 * r728192;
        double r728194 = y;
        double r728195 = r728193 * r728194;
        double r728196 = r728195 * r728194;
        return r728196;
}
↓
double f(double x, double y) {
        double r728197 = x;
        double r728198 = 3.0;
        double r728199 = r728197 * r728198;
        double r728200 = y;
        double r728201 = r728199 * r728200;
        double r728202 = r728201 * r728200;
        return r728202;
}

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 2020047 +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))