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

Average Error: 0.1 → 0.1

Time: 51.2s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r11434001 = x;
        double r11434002 = 3.0;
        double r11434003 = 8.0;
        double r11434004 = r11434002 / r11434003;
        double r11434005 = y;
        double r11434006 = r11434004 * r11434005;
        double r11434007 = r11434001 - r11434006;
        return r11434007;
}

↓

double f(double x, double y) {
        double r11434008 = x;
        double r11434009 = y;
        double r11434010 = 3.0;
        double r11434011 = 8.0;
        double r11434012 = r11434010 / r11434011;
        double r11434013 = r11434009 * r11434012;
        double r11434014 = r11434008 - r11434013;
        return r11434014;
}

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

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

Reproduce

herbie shell --seed 2019200 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))