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

Average Error: 0.1 → 0.1

Time: 16.7s

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 r10933528 = x;
        double r10933529 = 3.0;
        double r10933530 = 8.0;
        double r10933531 = r10933529 / r10933530;
        double r10933532 = y;
        double r10933533 = r10933531 * r10933532;
        double r10933534 = r10933528 - r10933533;
        return r10933534;
}

↓

double f(double x, double y) {
        double r10933535 = x;
        double r10933536 = 3.0;
        double r10933537 = 8.0;
        double r10933538 = r10933536 / r10933537;
        double r10933539 = y;
        double r10933540 = r10933538 * r10933539;
        double r10933541 = r10933535 - r10933540;
        return r10933541;
}

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 2019168 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))