Average Error: 0.0 → 0.0
Time: 10.7s
Precision: 64
\[\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t\]
↓
\[t + \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right)\]
\left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right) + t
↓
t + \left(\frac{1}{8} \cdot x - \frac{y \cdot z}{2}\right)
double f(double x, double y, double z, double t) {
        double r19958681 = 1.0;
        double r19958682 = 8.0;
        double r19958683 = r19958681 / r19958682;
        double r19958684 = x;
        double r19958685 = r19958683 * r19958684;
        double r19958686 = y;
        double r19958687 = z;
        double r19958688 = r19958686 * r19958687;
        double r19958689 = 2.0;
        double r19958690 = r19958688 / r19958689;
        double r19958691 = r19958685 - r19958690;
        double r19958692 = t;
        double r19958693 = r19958691 + r19958692;
        return r19958693;
}
↓
double f(double x, double y, double z, double t) {
        double r19958694 = t;
        double r19958695 = 1.0;
        double r19958696 = 8.0;
        double r19958697 = r19958695 / r19958696;
        double r19958698 = x;
        double r19958699 = r19958697 * r19958698;
        double r19958700 = y;
        double r19958701 = z;
        double r19958702 = r19958700 * r19958701;
        double r19958703 = 2.0;
        double r19958704 = r19958702 / r19958703;
        double r19958705 = r19958699 - r19958704;
        double r19958706 = r19958694 + r19958705;
        return r19958706;
}

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. Final simplification0.0

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

Reproduce

herbie shell --seed 2019171 
(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))