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

Average Error: 0.0 → 0.0

Time: 2.5s

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 r725734 = 1.0;
        double r725735 = 8.0;
        double r725736 = r725734 / r725735;
        double r725737 = x;
        double r725738 = r725736 * r725737;
        double r725739 = y;
        double r725740 = z;
        double r725741 = r725739 * r725740;
        double r725742 = 2.0;
        double r725743 = r725741 / r725742;
        double r725744 = r725738 - r725743;
        double r725745 = t;
        double r725746 = r725744 + r725745;
        return r725746;
}

↓

double f(double x, double y, double z, double t) {
        double r725747 = 1.0;
        double r725748 = 8.0;
        double r725749 = r725747 / r725748;
        double r725750 = x;
        double r725751 = r725749 * r725750;
        double r725752 = y;
        double r725753 = z;
        double r725754 = r725752 * r725753;
        double r725755 = 2.0;
        double r725756 = r725754 / r725755;
        double r725757 = r725751 - r725756;
        double r725758 = t;
        double r725759 = r725757 + r725758;
        return r725759;
}

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 2020036 +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))