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

Average Error: 0.0 → 0.0

Time: 2.2s

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 r467244 = 1.0;
        double r467245 = 8.0;
        double r467246 = r467244 / r467245;
        double r467247 = x;
        double r467248 = r467246 * r467247;
        double r467249 = y;
        double r467250 = z;
        double r467251 = r467249 * r467250;
        double r467252 = 2.0;
        double r467253 = r467251 / r467252;
        double r467254 = r467248 - r467253;
        double r467255 = t;
        double r467256 = r467254 + r467255;
        return r467256;
}

↓

double f(double x, double y, double z, double t) {
        double r467257 = 1.0;
        double r467258 = 8.0;
        double r467259 = r467257 / r467258;
        double r467260 = x;
        double r467261 = r467259 * r467260;
        double r467262 = y;
        double r467263 = z;
        double r467264 = r467262 * r467263;
        double r467265 = 2.0;
        double r467266 = r467264 / r467265;
        double r467267 = r467261 - r467266;
        double r467268 = t;
        double r467269 = r467267 + r467268;
        return r467269;
}

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 2019325 
(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))