Average Error: 0.0 → 0.0
Time: 4.7s
Precision: 64
\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]
↓
\[\frac{1}{8} \cdot x - \left(\frac{y \cdot z}{2} - t\right)\]
\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t
↓
\frac{1}{8} \cdot x - \left(\frac{y \cdot z}{2} - t\right)
double f(double x, double y, double z, double t) {
        double r491361 = 1.0;
        double r491362 = 8.0;
        double r491363 = r491361 / r491362;
        double r491364 = x;
        double r491365 = r491363 * r491364;
        double r491366 = y;
        double r491367 = z;
        double r491368 = r491366 * r491367;
        double r491369 = 2.0;
        double r491370 = r491368 / r491369;
        double r491371 = r491365 - r491370;
        double r491372 = t;
        double r491373 = r491371 + r491372;
        return r491373;
}
↓
double f(double x, double y, double z, double t) {
        double r491374 = 1.0;
        double r491375 = 8.0;
        double r491376 = r491374 / r491375;
        double r491377 = x;
        double r491378 = r491376 * r491377;
        double r491379 = y;
        double r491380 = z;
        double r491381 = r491379 * r491380;
        double r491382 = 2.0;
        double r491383 = r491381 / r491382;
        double r491384 = t;
        double r491385 = r491383 - r491384;
        double r491386 = r491378 - r491385;
        return r491386;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.0
Target0.0
Herbie0.0
\[\left(\frac{x}{8} + t\right) - \frac{z}{2} \cdot y\]

Derivation

  1. Initial program 0.0

    \[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]
  2. Using strategy rm

  3. Applied associate-+l-0.0

    \[\leadsto \color{blue}{\frac{1}{8} \cdot x - \left(\frac{y \cdot z}{2} - t\right)}\]

  4. Final simplification0.0

    \[\leadsto \frac{1}{8} \cdot x - \left(\frac{y \cdot z}{2} - t\right)\]

Reproduce

herbie shell --seed 2019291 
(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))