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

Average Error: 0.0 → 0.0

Time: 9.7s

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 r512384 = 1.0;
        double r512385 = 8.0;
        double r512386 = r512384 / r512385;
        double r512387 = x;
        double r512388 = r512386 * r512387;
        double r512389 = y;
        double r512390 = z;
        double r512391 = r512389 * r512390;
        double r512392 = 2.0;
        double r512393 = r512391 / r512392;
        double r512394 = r512388 - r512393;
        double r512395 = t;
        double r512396 = r512394 + r512395;
        return r512396;
}

↓

double f(double x, double y, double z, double t) {
        double r512397 = 1.0;
        double r512398 = 8.0;
        double r512399 = r512397 / r512398;
        double r512400 = x;
        double r512401 = r512399 * r512400;
        double r512402 = y;
        double r512403 = z;
        double r512404 = r512402 * r512403;
        double r512405 = 2.0;
        double r512406 = r512404 / r512405;
        double r512407 = r512401 - r512406;
        double r512408 = t;
        double r512409 = r512407 + r512408;
        return r512409;
}

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 2019208 
(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))