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

Average Error: 0.1 → 0.1

Time: 3.3s

Precision: 64

Math

\[x - \left(y \cdot 4.0\right) \cdot z\]

↓

\[x - \left(4.0 \cdot y\right) \cdot z\]

C

double f(double x, double y, double z) {
        double r11999499 = x;
        double r11999500 = y;
        double r11999501 = 4.0;
        double r11999502 = r11999500 * r11999501;
        double r11999503 = z;
        double r11999504 = r11999502 * r11999503;
        double r11999505 = r11999499 - r11999504;
        return r11999505;
}

↓

double f(double x, double y, double z) {
        double r11999506 = x;
        double r11999507 = 4.0;
        double r11999508 = y;
        double r11999509 = r11999507 * r11999508;
        double r11999510 = z;
        double r11999511 = r11999509 * r11999510;
        double r11999512 = r11999506 - r11999511;
        return r11999512;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Derivation

1. Initial program 0.1

   \[x - \left(y \cdot 4.0\right) \cdot z\]

2. Final simplification 0.1

   \[\leadsto x - \left(4.0 \cdot y\right) \cdot z\]

Reproduce

herbie shell --seed 2019165 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  (- x (* (* y 4.0) z)))