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

Average Error: 0.0 → 0.0

Time: 5.9s

Precision: 64

Math

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

↓

\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

C

double f(double x, double y, double z, double t) {
        double r508789 = 1.0;
        double r508790 = 8.0;
        double r508791 = r508789 / r508790;
        double r508792 = x;
        double r508793 = r508791 * r508792;
        double r508794 = y;
        double r508795 = z;
        double r508796 = r508794 * r508795;
        double r508797 = 2.0;
        double r508798 = r508796 / r508797;
        double r508799 = r508793 - r508798;
        double r508800 = t;
        double r508801 = r508799 + r508800;
        return r508801;
}

↓

double f(double x, double y, double z, double t) {
        double r508802 = 1.0;
        double r508803 = 8.0;
        double r508804 = r508802 / r508803;
        double r508805 = x;
        double r508806 = r508804 * r508805;
        double r508807 = y;
        double r508808 = z;
        double r508809 = r508807 * r508808;
        double r508810 = 2.0;
        double r508811 = r508809 / r508810;
        double r508812 = r508806 - r508811;
        double r508813 = t;
        double r508814 = r508812 + r508813;
        return r508814;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Target

Original	0.0
Target	0.0
Herbie	0.0

\[\left(\frac{x}{8} + t\right) - \frac{z}{2} \cdot y\]

Derivation

1. Initial program 0.0

   \[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

2. Final simplification 0.0

   \[\leadsto \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]

Reproduce

herbie shell --seed 2019326 +o rules:numerics
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"
  :precision binary64

  :herbie-target
  (- (+ (/ x 8) t) (* (/ z 2) y))

  (+ (- (* (/ 1 8) x) (/ (* y z) 2)) t))