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

Average Error: 0.1 → 0.1

Time: 15.2s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r10934758 = x;
        double r10934759 = 3.0;
        double r10934760 = 8.0;
        double r10934761 = r10934759 / r10934760;
        double r10934762 = y;
        double r10934763 = r10934761 * r10934762;
        double r10934764 = r10934758 - r10934763;
        return r10934764;
}

↓

double f(double x, double y) {
        double r10934765 = x;
        double r10934766 = 3.0;
        double r10934767 = 8.0;
        double r10934768 = r10934766 / r10934767;
        double r10934769 = y;
        double r10934770 = r10934768 * r10934769;
        double r10934771 = r10934765 - r10934770;
        return r10934771;
}

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 2019171 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))