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

Average Error: 0.1 → 0.1

Time: 2.9s

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 r7391520 = x;
        double r7391521 = y;
        double r7391522 = 4.0;
        double r7391523 = r7391521 * r7391522;
        double r7391524 = z;
        double r7391525 = r7391523 * r7391524;
        double r7391526 = r7391520 - r7391525;
        return r7391526;
}

↓

double f(double x, double y, double z) {
        double r7391527 = x;
        double r7391528 = 4.0;
        double r7391529 = y;
        double r7391530 = r7391528 * r7391529;
        double r7391531 = z;
        double r7391532 = r7391530 * r7391531;
        double r7391533 = r7391527 - r7391532;
        return r7391533;
}

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 2019164 +o rules:numerics
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  (- x (* (* y 4.0) z)))