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

Average Error: 0.0 → 0.0

Time: 7.0s

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 r874151 = 1.0;
        double r874152 = 8.0;
        double r874153 = r874151 / r874152;
        double r874154 = x;
        double r874155 = r874153 * r874154;
        double r874156 = y;
        double r874157 = z;
        double r874158 = r874156 * r874157;
        double r874159 = 2.0;
        double r874160 = r874158 / r874159;
        double r874161 = r874155 - r874160;
        double r874162 = t;
        double r874163 = r874161 + r874162;
        return r874163;
}

↓

double f(double x, double y, double z, double t) {
        double r874164 = 1.0;
        double r874165 = 8.0;
        double r874166 = r874164 / r874165;
        double r874167 = x;
        double r874168 = r874166 * r874167;
        double r874169 = y;
        double r874170 = z;
        double r874171 = r874169 * r874170;
        double r874172 = 2.0;
        double r874173 = r874171 / r874172;
        double r874174 = r874168 - r874173;
        double r874175 = t;
        double r874176 = r874174 + r874175;
        return r874176;
}

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 2020089 
(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))