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

Average Error: 0.1 → 0.1

Time: 6.2s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r248694 = x;
        double r248695 = 3.0;
        double r248696 = 8.0;
        double r248697 = r248695 / r248696;
        double r248698 = y;
        double r248699 = r248697 * r248698;
        double r248700 = r248694 - r248699;
        return r248700;
}

↓

double f(double x, double y) {
        double r248701 = x;
        double r248702 = 3.0;
        double r248703 = 8.0;
        double r248704 = r248702 / r248703;
        double r248705 = y;
        double r248706 = r248704 * r248705;
        double r248707 = r248701 - r248706;
        return r248707;
}

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 2020046 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))