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

Average Error: 0.1 → 0.1

Time: 18.5s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r7258610 = x;
        double r7258611 = 3.0;
        double r7258612 = 8.0;
        double r7258613 = r7258611 / r7258612;
        double r7258614 = y;
        double r7258615 = r7258613 * r7258614;
        double r7258616 = r7258610 - r7258615;
        return r7258616;
}

↓

double f(double x, double y) {
        double r7258617 = x;
        double r7258618 = 3.0;
        double r7258619 = 8.0;
        double r7258620 = r7258618 / r7258619;
        double r7258621 = y;
        double r7258622 = r7258620 * r7258621;
        double r7258623 = r7258617 - r7258622;
        return r7258623;
}

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 2019172 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))