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

Average Error: 0.0 → 0.0

Time: 4.8s

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 r414112 = 1.0;
        double r414113 = 8.0;
        double r414114 = r414112 / r414113;
        double r414115 = x;
        double r414116 = r414114 * r414115;
        double r414117 = y;
        double r414118 = z;
        double r414119 = r414117 * r414118;
        double r414120 = 2.0;
        double r414121 = r414119 / r414120;
        double r414122 = r414116 - r414121;
        double r414123 = t;
        double r414124 = r414122 + r414123;
        return r414124;
}

↓

double f(double x, double y, double z, double t) {
        double r414125 = 1.0;
        double r414126 = 8.0;
        double r414127 = r414125 / r414126;
        double r414128 = x;
        double r414129 = r414127 * r414128;
        double r414130 = y;
        double r414131 = z;
        double r414132 = r414130 * r414131;
        double r414133 = 2.0;
        double r414134 = r414132 / r414133;
        double r414135 = r414129 - r414134;
        double r414136 = t;
        double r414137 = r414135 + r414136;
        return r414137;
}

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 2019323 
(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))