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

Average Error: 0.0 → 0.0

Time: 5.6s

Precision: 64

Math

\[\left(\frac{1.0}{8.0} \cdot x - \frac{y \cdot z}{2.0}\right) + t\]

↓

\[t + \left(\frac{1.0}{8.0} \cdot x - \frac{y \cdot z}{2.0}\right)\]

C

double f(double x, double y, double z, double t) {
        double r14676340 = 1.0;
        double r14676341 = 8.0;
        double r14676342 = r14676340 / r14676341;
        double r14676343 = x;
        double r14676344 = r14676342 * r14676343;
        double r14676345 = y;
        double r14676346 = z;
        double r14676347 = r14676345 * r14676346;
        double r14676348 = 2.0;
        double r14676349 = r14676347 / r14676348;
        double r14676350 = r14676344 - r14676349;
        double r14676351 = t;
        double r14676352 = r14676350 + r14676351;
        return r14676352;
}

↓

double f(double x, double y, double z, double t) {
        double r14676353 = t;
        double r14676354 = 1.0;
        double r14676355 = 8.0;
        double r14676356 = r14676354 / r14676355;
        double r14676357 = x;
        double r14676358 = r14676356 * r14676357;
        double r14676359 = y;
        double r14676360 = z;
        double r14676361 = r14676359 * r14676360;
        double r14676362 = 2.0;
        double r14676363 = r14676361 / r14676362;
        double r14676364 = r14676358 - r14676363;
        double r14676365 = r14676353 + r14676364;
        return r14676365;
}

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

\[\left(\frac{x}{8.0} + t\right) - \frac{z}{2.0} \cdot y\]

Derivation

1. Initial program 0.0

   \[\left(\frac{1.0}{8.0} \cdot x - \frac{y \cdot z}{2.0}\right) + t\]

2. Final simplification 0.0

   \[\leadsto t + \left(\frac{1.0}{8.0} \cdot x - \frac{y \cdot z}{2.0}\right)\]

Reproduce

herbie shell --seed 2019156 
(FPCore (x y z t)
  :name "Diagrams.Solve.Polynomial:quartForm  from diagrams-solve-0.1, B"

  :herbie-target
  (- (+ (/ x 8.0) t) (* (/ z 2.0) y))

  (+ (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)) t))