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

Average Error: 0.1 → 0.1

Time: 21.5s

Precision: 64

Math

\[x - \frac{3.0}{8.0} \cdot y\]

↓

\[x - \frac{3.0}{8.0} \cdot y\]

C

double f(double x, double y) {
        double r9640804 = x;
        double r9640805 = 3.0;
        double r9640806 = 8.0;
        double r9640807 = r9640805 / r9640806;
        double r9640808 = y;
        double r9640809 = r9640807 * r9640808;
        double r9640810 = r9640804 - r9640809;
        return r9640810;
}

↓

double f(double x, double y) {
        double r9640811 = x;
        double r9640812 = 3.0;
        double r9640813 = 8.0;
        double r9640814 = r9640812 / r9640813;
        double r9640815 = y;
        double r9640816 = r9640814 * r9640815;
        double r9640817 = r9640811 - r9640816;
        return r9640817;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.1

   \[x - \frac{3.0}{8.0} \cdot y\]

2. Final simplification 0.1

   \[\leadsto x - \frac{3.0}{8.0} \cdot y\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))