Average Error: 0.3 → 0.3
Time: 23.2s
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 r1208208 = x;
        double r1208209 = 3.0;
        double r1208210 = r1208208 * r1208209;
        double r1208211 = y;
        double r1208212 = r1208210 * r1208211;
        double r1208213 = r1208212 * r1208211;
        return r1208213;
}
↓
double f(double x, double y) {
        double r1208214 = x;
        double r1208215 = 3.0;
        double r1208216 = r1208214 * r1208215;
        double r1208217 = y;
        double r1208218 = r1208216 * r1208217;
        double r1208219 = r1208218 * r1208217;
        return r1208219;
}

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 2019303 
(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))