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

Average Error: 0.1 → 0.1

Time: 5.7s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r224350 = x;
        double r224351 = 3.0;
        double r224352 = 8.0;
        double r224353 = r224351 / r224352;
        double r224354 = y;
        double r224355 = r224353 * r224354;
        double r224356 = r224350 - r224355;
        return r224356;
}

↓

double f(double x, double y) {
        double r224357 = x;
        double r224358 = 3.0;
        double r224359 = 8.0;
        double r224360 = r224358 / r224359;
        double r224361 = y;
        double r224362 = r224360 * r224361;
        double r224363 = r224357 - r224362;
        return r224363;
}

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 2020035 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))