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

Average Error: 0.0 → 0.0

Time: 13.0s

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 r646172 = 1.0;
        double r646173 = 8.0;
        double r646174 = r646172 / r646173;
        double r646175 = x;
        double r646176 = r646174 * r646175;
        double r646177 = y;
        double r646178 = z;
        double r646179 = r646177 * r646178;
        double r646180 = 2.0;
        double r646181 = r646179 / r646180;
        double r646182 = r646176 - r646181;
        double r646183 = t;
        double r646184 = r646182 + r646183;
        return r646184;
}

↓

double f(double x, double y, double z, double t) {
        double r646185 = 1.0;
        double r646186 = 8.0;
        double r646187 = r646185 / r646186;
        double r646188 = x;
        double r646189 = r646187 * r646188;
        double r646190 = y;
        double r646191 = z;
        double r646192 = r646190 * r646191;
        double r646193 = 2.0;
        double r646194 = r646192 / r646193;
        double r646195 = r646189 - r646194;
        double r646196 = t;
        double r646197 = r646195 + r646196;
        return r646197;
}

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 2019303 
(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))