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

Average Error: 0.1 → 0.1

Time: 14.7s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r17479642 = x;
        double r17479643 = 3.0;
        double r17479644 = 8.0;
        double r17479645 = r17479643 / r17479644;
        double r17479646 = y;
        double r17479647 = r17479645 * r17479646;
        double r17479648 = r17479642 - r17479647;
        return r17479648;
}

↓

double f(double x, double y) {
        double r17479649 = x;
        double r17479650 = 3.0;
        double r17479651 = 8.0;
        double r17479652 = r17479650 / r17479651;
        double r17479653 = y;
        double r17479654 = r17479652 * r17479653;
        double r17479655 = r17479649 - r17479654;
        return r17479655;
}

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 2019174 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))