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

Average Error: 0.0 → 0.0

Time: 3.6s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

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 r850290 = 1.0;
        double r850291 = 8.0;
        double r850292 = r850290 / r850291;
        double r850293 = x;
        double r850294 = r850292 * r850293;
        double r850295 = y;
        double r850296 = z;
        double r850297 = r850295 * r850296;
        double r850298 = 2.0;
        double r850299 = r850297 / r850298;
        double r850300 = r850294 - r850299;
        double r850301 = t;
        double r850302 = r850300 + r850301;
        return r850302;
}

↓

double f(double x, double y, double z, double t) {
        double r850303 = 1.0;
        double r850304 = 8.0;
        double r850305 = r850303 / r850304;
        double r850306 = x;
        double r850307 = r850305 * r850306;
        double r850308 = y;
        double r850309 = z;
        double r850310 = r850308 * r850309;
        double r850311 = 2.0;
        double r850312 = r850310 / r850311;
        double r850313 = r850307 - r850312;
        double r850314 = t;
        double r850315 = r850313 + r850314;
        return r850315;
}

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 2020047 
(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))