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

Average Error: 0.0 → 0.0

Time: 1.1s

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 r818420 = 1.0;
        double r818421 = 8.0;
        double r818422 = r818420 / r818421;
        double r818423 = x;
        double r818424 = r818422 * r818423;
        double r818425 = y;
        double r818426 = z;
        double r818427 = r818425 * r818426;
        double r818428 = 2.0;
        double r818429 = r818427 / r818428;
        double r818430 = r818424 - r818429;
        double r818431 = t;
        double r818432 = r818430 + r818431;
        return r818432;
}

↓

double f(double x, double y, double z, double t) {
        double r818433 = 1.0;
        double r818434 = 8.0;
        double r818435 = r818433 / r818434;
        double r818436 = x;
        double r818437 = r818435 * r818436;
        double r818438 = y;
        double r818439 = z;
        double r818440 = r818438 * r818439;
        double r818441 = 2.0;
        double r818442 = r818440 / r818441;
        double r818443 = r818437 - r818442;
        double r818444 = t;
        double r818445 = r818443 + r818444;
        return r818445;
}

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 2020021 
(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))