Average Error: 3.0 → 3.0
Time: 36.1s
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 r36115613 = x;
        double r36115614 = y;
        double r36115615 = z;
        double r36115616 = t;
        double r36115617 = r36115615 * r36115616;
        double r36115618 = r36115614 - r36115617;
        double r36115619 = r36115613 / r36115618;
        return r36115619;
}
↓
double f(double x, double y, double z, double t) {
        double r36115620 = x;
        double r36115621 = y;
        double r36115622 = z;
        double r36115623 = t;
        double r36115624 = r36115622 * r36115623;
        double r36115625 = r36115621 - r36115624;
        double r36115626 = r36115620 / r36115625;
        return r36115626;
}

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

Original3.0
Target1.7
Herbie3.0
\[\begin{array}{l} \mathbf{if}\;x \lt -1.618195973607049 \cdot 10^{+50}:\\ \;\;\;\;\frac{1.0}{\frac{y}{x} - \frac{z}{x} \cdot t}\\ \mathbf{elif}\;x \lt 2.1378306434876444 \cdot 10^{+131}:\\ \;\;\;\;\frac{x}{y - z \cdot t}\\ \mathbf{else}:\\ \;\;\;\;\frac{1.0}{\frac{y}{x} - \frac{z}{x} \cdot t}\\ \end{array}\]

Derivation

  1. Initial program 3.0

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

  2. Final simplification3.0

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

Reproduce

herbie shell --seed 2019165 
(FPCore (x y z t)
  :name "Diagrams.Solve.Tridiagonal:solveTriDiagonal from diagrams-solve-0.1, B"

  :herbie-target
  (if (< x -1.618195973607049e+50) (/ 1.0 (- (/ y x) (* (/ z x) t))) (if (< x 2.1378306434876444e+131) (/ x (- y (* z t))) (/ 1.0 (- (/ y x) (* (/ z x) t)))))

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