Average Error: 0.3 → 0.3
Time: 2.7s
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 r950008 = x;
        double r950009 = 3.0;
        double r950010 = r950008 * r950009;
        double r950011 = y;
        double r950012 = r950010 * r950011;
        double r950013 = r950012 * r950011;
        return r950013;
}
↓
double f(double x, double y) {
        double r950014 = x;
        double r950015 = 3.0;
        double r950016 = r950014 * r950015;
        double r950017 = y;
        double r950018 = r950016 * r950017;
        double r950019 = r950018 * r950017;
        return r950019;
}

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 2019353 
(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))