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

Average Error: 0.0 → 0.0

Time: 4.9s

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 r811377 = 1.0;
        double r811378 = 8.0;
        double r811379 = r811377 / r811378;
        double r811380 = x;
        double r811381 = r811379 * r811380;
        double r811382 = y;
        double r811383 = z;
        double r811384 = r811382 * r811383;
        double r811385 = 2.0;
        double r811386 = r811384 / r811385;
        double r811387 = r811381 - r811386;
        double r811388 = t;
        double r811389 = r811387 + r811388;
        return r811389;
}

↓

double f(double x, double y, double z, double t) {
        double r811390 = 1.0;
        double r811391 = 8.0;
        double r811392 = r811390 / r811391;
        double r811393 = x;
        double r811394 = r811392 * r811393;
        double r811395 = y;
        double r811396 = z;
        double r811397 = r811395 * r811396;
        double r811398 = 2.0;
        double r811399 = r811397 / r811398;
        double r811400 = r811394 - r811399;
        double r811401 = t;
        double r811402 = r811400 + r811401;
        return r811402;
}

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 2019350 
(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))