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

Average Error: 0.1 → 0.1

Time: 18.1s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r11532268 = x;
        double r11532269 = 3.0;
        double r11532270 = 8.0;
        double r11532271 = r11532269 / r11532270;
        double r11532272 = y;
        double r11532273 = r11532271 * r11532272;
        double r11532274 = r11532268 - r11532273;
        return r11532274;
}

↓

double f(double x, double y) {
        double r11532275 = x;
        double r11532276 = 3.0;
        double r11532277 = 8.0;
        double r11532278 = r11532276 / r11532277;
        double r11532279 = y;
        double r11532280 = r11532278 * r11532279;
        double r11532281 = r11532275 - r11532280;
        return r11532281;
}

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 2019192 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))