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

Average Error: 0.1 → 0.1

Time: 15.8s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r11026498 = x;
        double r11026499 = 3.0;
        double r11026500 = 8.0;
        double r11026501 = r11026499 / r11026500;
        double r11026502 = y;
        double r11026503 = r11026501 * r11026502;
        double r11026504 = r11026498 - r11026503;
        return r11026504;
}

↓

double f(double x, double y) {
        double r11026505 = x;
        double r11026506 = 3.0;
        double r11026507 = 8.0;
        double r11026508 = r11026506 / r11026507;
        double r11026509 = y;
        double r11026510 = r11026508 * r11026509;
        double r11026511 = r11026505 - r11026510;
        return r11026511;
}

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)))