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

Average Error: 0.0 → 0.0

Time: 2.3s

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 r638759 = 1.0;
        double r638760 = 8.0;
        double r638761 = r638759 / r638760;
        double r638762 = x;
        double r638763 = r638761 * r638762;
        double r638764 = y;
        double r638765 = z;
        double r638766 = r638764 * r638765;
        double r638767 = 2.0;
        double r638768 = r638766 / r638767;
        double r638769 = r638763 - r638768;
        double r638770 = t;
        double r638771 = r638769 + r638770;
        return r638771;
}

↓

double f(double x, double y, double z, double t) {
        double r638772 = 1.0;
        double r638773 = 8.0;
        double r638774 = r638772 / r638773;
        double r638775 = x;
        double r638776 = r638774 * r638775;
        double r638777 = y;
        double r638778 = z;
        double r638779 = r638777 * r638778;
        double r638780 = 2.0;
        double r638781 = r638779 / r638780;
        double r638782 = r638776 - r638781;
        double r638783 = t;
        double r638784 = r638782 + r638783;
        return r638784;
}

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 2019322 
(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))