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

Average Error: 0.0 → 0.0

Time: 3.1s

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 r422577 = 1.0;
        double r422578 = 8.0;
        double r422579 = r422577 / r422578;
        double r422580 = x;
        double r422581 = r422579 * r422580;
        double r422582 = y;
        double r422583 = z;
        double r422584 = r422582 * r422583;
        double r422585 = 2.0;
        double r422586 = r422584 / r422585;
        double r422587 = r422581 - r422586;
        double r422588 = t;
        double r422589 = r422587 + r422588;
        return r422589;
}

↓

double f(double x, double y, double z, double t) {
        double r422590 = 1.0;
        double r422591 = 8.0;
        double r422592 = r422590 / r422591;
        double r422593 = x;
        double r422594 = r422592 * r422593;
        double r422595 = y;
        double r422596 = z;
        double r422597 = r422595 * r422596;
        double r422598 = 2.0;
        double r422599 = r422597 / r422598;
        double r422600 = r422594 - r422599;
        double r422601 = t;
        double r422602 = r422600 + r422601;
        return r422602;
}

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 2019304 
(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))