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

Average Error: 0.1 → 0.1

Time: 1.1s

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 r12858522 = x;
        double r12858523 = y;
        double r12858524 = 4.0;
        double r12858525 = r12858523 * r12858524;
        double r12858526 = z;
        double r12858527 = r12858525 * r12858526;
        double r12858528 = r12858522 - r12858527;
        return r12858528;
}

↓

double f(double x, double y, double z) {
        double r12858529 = x;
        double r12858530 = 4.0;
        double r12858531 = y;
        double r12858532 = r12858530 * r12858531;
        double r12858533 = z;
        double r12858534 = r12858532 * r12858533;
        double r12858535 = r12858529 - r12858534;
        return r12858535;
}

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 2019162 
(FPCore (x y z)
  :name "Diagrams.Solve.Polynomial:quadForm from diagrams-solve-0.1, A"
  (- x (* (* y 4.0) z)))