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

Average Error: 0.1 → 0.1

Time: 6.1s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r269141 = x;
        double r269142 = 3.0;
        double r269143 = 8.0;
        double r269144 = r269142 / r269143;
        double r269145 = y;
        double r269146 = r269144 * r269145;
        double r269147 = r269141 - r269146;
        return r269147;
}

↓

double f(double x, double y) {
        double r269148 = x;
        double r269149 = 3.0;
        double r269150 = 8.0;
        double r269151 = r269149 / r269150;
        double r269152 = y;
        double r269153 = r269151 * r269152;
        double r269154 = r269148 - r269153;
        return r269154;
}

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 2020036 
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (/ 3 8) y)))