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

Average Error: 0.1 → 0.1

Time: 18.4s

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 r11531606 = x;
        double r11531607 = 3.0;
        double r11531608 = 8.0;
        double r11531609 = r11531607 / r11531608;
        double r11531610 = y;
        double r11531611 = r11531609 * r11531610;
        double r11531612 = r11531606 - r11531611;
        return r11531612;
}

↓

double f(double x, double y) {
        double r11531613 = x;
        double r11531614 = 3.0;
        double r11531615 = 8.0;
        double r11531616 = r11531614 / r11531615;
        double r11531617 = y;
        double r11531618 = r11531616 * r11531617;
        double r11531619 = r11531613 - r11531618;
        return r11531619;
}

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 2019158 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))