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

Average Error: 0.1 → 0.1

Time: 14.7s

Precision: 64

Math

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

↓

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

C

double f(double x, double y) {
        double r14590048 = x;
        double r14590049 = 3.0;
        double r14590050 = 8.0;
        double r14590051 = r14590049 / r14590050;
        double r14590052 = y;
        double r14590053 = r14590051 * r14590052;
        double r14590054 = r14590048 - r14590053;
        return r14590054;
}

↓

double f(double x, double y) {
        double r14590055 = x;
        double r14590056 = 3.0;
        double r14590057 = 8.0;
        double r14590058 = r14590056 / r14590057;
        double r14590059 = y;
        double r14590060 = r14590058 * r14590059;
        double r14590061 = r14590055 - r14590060;
        return r14590061;
}

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 2019170 +o rules:numerics
(FPCore (x y)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, A"
  (- x (* (/ 3.0 8.0) y)))