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

Average Error: 0.1 → 0.1

Time: 5.4s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r239696 = x;
        double r239697 = 3.0;
        double r239698 = 8.0;
        double r239699 = r239697 / r239698;
        double r239700 = y;
        double r239701 = r239699 * r239700;
        double r239702 = r239696 - r239701;
        return r239702;
}

↓

double f(double x, double y) {
        double r239703 = x;
        double r239704 = 3.0;
        double r239705 = 8.0;
        double r239706 = r239704 / r239705;
        double r239707 = y;
        double r239708 = r239706 * r239707;
        double r239709 = r239703 - r239708;
        return r239709;
}

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 2020033 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))