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

Average Error: 0.1 → 0.1

Time: 5.3s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r220741 = x;
        double r220742 = 3.0;
        double r220743 = 8.0;
        double r220744 = r220742 / r220743;
        double r220745 = y;
        double r220746 = r220744 * r220745;
        double r220747 = r220741 - r220746;
        return r220747;
}

↓

double f(double x, double y) {
        double r220748 = x;
        double r220749 = 3.0;
        double r220750 = 8.0;
        double r220751 = r220749 / r220750;
        double r220752 = y;
        double r220753 = r220751 * r220752;
        double r220754 = r220748 - r220753;
        return r220754;
}

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 2020056 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))