Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

Average Error: 0.1 → 0.1

Time: 5.5s

Precision: 64

Math

\[x - \frac{3}{8} \cdot y\]

↓

\[x - \frac{3}{8} \cdot y\]

C

double f(double x, double y) {
        double r270688 = x;
        double r270689 = 3.0;
        double r270690 = 8.0;
        double r270691 = r270689 / r270690;
        double r270692 = y;
        double r270693 = r270691 * r270692;
        double r270694 = r270688 - r270693;
        return r270694;
}

↓

double f(double x, double y) {
        double r270695 = x;
        double r270696 = 3.0;
        double r270697 = 8.0;
        double r270698 = r270696 / r270697;
        double r270699 = y;
        double r270700 = r270698 * r270699;
        double r270701 = r270695 - r270700;
        return r270701;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x - \frac{3}{8} \cdot y\]

2. Final simplification 0.1

   \[\leadsto x - \frac{3}{8} \cdot y\]

Reproduce

herbie shell --seed 2020047 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))