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

Average Error: 0.0 → 0.0

Time: 2.4s

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 r384678 = 1.0;
        double r384679 = 8.0;
        double r384680 = r384678 / r384679;
        double r384681 = x;
        double r384682 = r384680 * r384681;
        double r384683 = y;
        double r384684 = z;
        double r384685 = r384683 * r384684;
        double r384686 = 2.0;
        double r384687 = r384685 / r384686;
        double r384688 = r384682 - r384687;
        double r384689 = t;
        double r384690 = r384688 + r384689;
        return r384690;
}

↓

double f(double x, double y, double z, double t) {
        double r384691 = 1.0;
        double r384692 = 8.0;
        double r384693 = r384691 / r384692;
        double r384694 = x;
        double r384695 = r384693 * r384694;
        double r384696 = y;
        double r384697 = z;
        double r384698 = r384696 * r384697;
        double r384699 = 2.0;
        double r384700 = r384698 / r384699;
        double r384701 = r384695 - r384700;
        double r384702 = t;
        double r384703 = r384701 + r384702;
        return r384703;
}

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 2019325 +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))