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

Average Error: 0.0 → 0.0

Time: 1.8s

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 r709586 = 1.0;
        double r709587 = 8.0;
        double r709588 = r709586 / r709587;
        double r709589 = x;
        double r709590 = r709588 * r709589;
        double r709591 = y;
        double r709592 = z;
        double r709593 = r709591 * r709592;
        double r709594 = 2.0;
        double r709595 = r709593 / r709594;
        double r709596 = r709590 - r709595;
        double r709597 = t;
        double r709598 = r709596 + r709597;
        return r709598;
}

↓

double f(double x, double y, double z, double t) {
        double r709599 = 1.0;
        double r709600 = 8.0;
        double r709601 = r709599 / r709600;
        double r709602 = x;
        double r709603 = r709601 * r709602;
        double r709604 = y;
        double r709605 = z;
        double r709606 = r709604 * r709605;
        double r709607 = 2.0;
        double r709608 = r709606 / r709607;
        double r709609 = r709603 - r709608;
        double r709610 = t;
        double r709611 = r709609 + r709610;
        return r709611;
}

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 2020083 
(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))