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

Average Error: 0.1 → 0.1

Time: 3.3s

Precision: 64

Math

\[x - \left(y \cdot 4\right) \cdot z\]

↓

\[x - \left(y \cdot 4\right) \cdot z\]

C

double f(double x, double y, double z) {
        double r240592 = x;
        double r240593 = y;
        double r240594 = 4.0;
        double r240595 = r240593 * r240594;
        double r240596 = z;
        double r240597 = r240595 * r240596;
        double r240598 = r240592 - r240597;
        return r240598;
}

↓

double f(double x, double y, double z) {
        double r240599 = x;
        double r240600 = y;
        double r240601 = 4.0;
        double r240602 = r240600 * r240601;
        double r240603 = z;
        double r240604 = r240602 * r240603;
        double r240605 = r240599 - r240604;
        return r240605;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

1. Initial program 0.1

   \[x - \left(y \cdot 4\right) \cdot z\]

2. Final simplification 0.1

   \[\leadsto x - \left(y \cdot 4\right) \cdot z\]

Reproduce

herbie shell --seed 2020001 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  :precision binary64
  (- x (* (* y 4) z)))