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

Average Error: 0.0 → 0.0

Time: 5.0s

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 r482406 = 1.0;
        double r482407 = 8.0;
        double r482408 = r482406 / r482407;
        double r482409 = x;
        double r482410 = r482408 * r482409;
        double r482411 = y;
        double r482412 = z;
        double r482413 = r482411 * r482412;
        double r482414 = 2.0;
        double r482415 = r482413 / r482414;
        double r482416 = r482410 - r482415;
        double r482417 = t;
        double r482418 = r482416 + r482417;
        return r482418;
}

↓

double f(double x, double y, double z, double t) {
        double r482419 = 1.0;
        double r482420 = 8.0;
        double r482421 = r482419 / r482420;
        double r482422 = x;
        double r482423 = r482421 * r482422;
        double r482424 = y;
        double r482425 = z;
        double r482426 = r482424 * r482425;
        double r482427 = 2.0;
        double r482428 = r482426 / r482427;
        double r482429 = r482423 - r482428;
        double r482430 = t;
        double r482431 = r482429 + r482430;
        return r482431;
}

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 2019323 
(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))