Average Error: 2.6 → 2.6
Time: 12.2s
Precision: 64
\[\frac{x}{y - z \cdot t}\]
↓
\[\frac{x}{y - z \cdot t}\]
\frac{x}{y - z \cdot t}
↓
\frac{x}{y - z \cdot t}
double f(double x, double y, double z, double t) {
        double r35080775 = x;
        double r35080776 = y;
        double r35080777 = z;
        double r35080778 = t;
        double r35080779 = r35080777 * r35080778;
        double r35080780 = r35080776 - r35080779;
        double r35080781 = r35080775 / r35080780;
        return r35080781;
}
↓
double f(double x, double y, double z, double t) {
        double r35080782 = x;
        double r35080783 = y;
        double r35080784 = z;
        double r35080785 = t;
        double r35080786 = r35080784 * r35080785;
        double r35080787 = r35080783 - r35080786;
        double r35080788 = r35080782 / r35080787;
        return r35080788;
}

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

Original2.6
Target1.5
Herbie2.6
\[\begin{array}{l} \mathbf{if}\;x \lt -1.618195973607049 \cdot 10^{+50}:\\ \;\;\;\;\frac{1}{\frac{y}{x} - \frac{z}{x} \cdot t}\\ \mathbf{elif}\;x \lt 2.1378306434876444 \cdot 10^{+131}:\\ \;\;\;\;\frac{x}{y - z \cdot t}\\ \mathbf{else}:\\ \;\;\;\;\frac{1}{\frac{y}{x} - \frac{z}{x} \cdot t}\\ \end{array}\]

Derivation

  1. Initial program 2.6

    \[\frac{x}{y - z \cdot t}\]

  2. Final simplification2.6

    \[\leadsto \frac{x}{y - z \cdot t}\]

Reproduce

herbie shell --seed 2019164 
(FPCore (x y z t)
  :name "Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, B"

  :herbie-target
  (if (< x -1.618195973607049e+50) (/ 1 (- (/ y x) (* (/ z x) t))) (if (< x 2.1378306434876444e+131) (/ x (- y (* z t))) (/ 1 (- (/ y x) (* (/ z x) t)))))

  (/ x (- y (* z t))))