Average Error: 0.3 → 0.3
Time: 22.1s
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 r509040 = x;
        double r509041 = 3.0;
        double r509042 = r509040 * r509041;
        double r509043 = y;
        double r509044 = r509042 * r509043;
        double r509045 = r509044 * r509043;
        return r509045;
}
↓
double f(double x, double y) {
        double r509046 = x;
        double r509047 = 3.0;
        double r509048 = r509046 * r509047;
        double r509049 = y;
        double r509050 = r509048 * r509049;
        double r509051 = r509050 * r509049;
        return r509051;
}

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 2019325 
(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))