\left(x \cdot 2 - \left(\left(y \cdot 9\right) \cdot z\right) \cdot t\right) + \left(a \cdot 27\right) \cdot b
\begin{array}{l}
\mathbf{if}\;\left(y \cdot 9\right) \cdot z \le -1.509627698880911586338015526628233224088 \cdot 10^{129} \lor \neg \left(\left(y \cdot 9\right) \cdot z \le 2.414314480791499273783363683236492721004 \cdot 10^{188}\right):\\
\;\;\;\;x \cdot 2 + \left(27 \cdot \left(a \cdot b\right) - y \cdot \left(\left(9 \cdot z\right) \cdot t\right)\right)\\
\mathbf{else}:\\
\;\;\;\;\left(x \cdot 2 - \left(y \cdot \left(9 \cdot z\right)\right) \cdot t\right) + \left(a \cdot 27\right) \cdot b\\
\end{array}double f(double x, double y, double z, double t, double a, double b) {
double r819623 = x;
double r819624 = 2.0;
double r819625 = r819623 * r819624;
double r819626 = y;
double r819627 = 9.0;
double r819628 = r819626 * r819627;
double r819629 = z;
double r819630 = r819628 * r819629;
double r819631 = t;
double r819632 = r819630 * r819631;
double r819633 = r819625 - r819632;
double r819634 = a;
double r819635 = 27.0;
double r819636 = r819634 * r819635;
double r819637 = b;
double r819638 = r819636 * r819637;
double r819639 = r819633 + r819638;
return r819639;
}
double f(double x, double y, double z, double t, double a, double b) {
double r819640 = y;
double r819641 = 9.0;
double r819642 = r819640 * r819641;
double r819643 = z;
double r819644 = r819642 * r819643;
double r819645 = -1.5096276988809116e+129;
bool r819646 = r819644 <= r819645;
double r819647 = 2.4143144807914993e+188;
bool r819648 = r819644 <= r819647;
double r819649 = !r819648;
bool r819650 = r819646 || r819649;
double r819651 = x;
double r819652 = 2.0;
double r819653 = r819651 * r819652;
double r819654 = 27.0;
double r819655 = a;
double r819656 = b;
double r819657 = r819655 * r819656;
double r819658 = r819654 * r819657;
double r819659 = r819641 * r819643;
double r819660 = t;
double r819661 = r819659 * r819660;
double r819662 = r819640 * r819661;
double r819663 = r819658 - r819662;
double r819664 = r819653 + r819663;
double r819665 = r819640 * r819659;
double r819666 = r819665 * r819660;
double r819667 = r819653 - r819666;
double r819668 = r819655 * r819654;
double r819669 = r819668 * r819656;
double r819670 = r819667 + r819669;
double r819671 = r819650 ? r819664 : r819670;
return r819671;
}




Bits error versus x




Bits error versus y




Bits error versus z




Bits error versus t




Bits error versus a




Bits error versus b
Results
| Original | 3.6 |
|---|---|
| Target | 2.6 |
| Herbie | 0.7 |
if (* (* y 9.0) z) < -1.5096276988809116e+129 or 2.4143144807914993e+188 < (* (* y 9.0) z) Initial program 19.0
rmApplied associate-*l*2.3
rmApplied associate-*l*1.8
rmApplied associate-*r*1.9
rmApplied sub-neg1.9
Applied associate-+l+1.9
Simplified1.7
if -1.5096276988809116e+129 < (* (* y 9.0) z) < 2.4143144807914993e+188Initial program 0.5
rmApplied associate-*l*0.5
Final simplification0.7
herbie shell --seed 2020001
(FPCore (x y z t a b)
:name "Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, A"
:precision binary64
:herbie-target
(if (< y 7.590524218811189e-161) (+ (- (* x 2) (* (* (* y 9) z) t)) (* a (* 27 b))) (+ (- (* x 2) (* 9 (* y (* t z)))) (* (* a 27) b)))
(+ (- (* x 2) (* (* (* y 9) z) t)) (* (* a 27) b)))