Average Error: 33.5 → 10.2
Time: 7.7min
Precision: binary64
Cost: 1282
\[\frac{\left(-b_2\right) + \sqrt{b_2 \cdot b_2 - a \cdot c}}{a}\]
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.8611369787865605 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
\frac{\left(-b_2\right) + \sqrt{b_2 \cdot b_2 - a \cdot c}}{a}
\begin{array}{l}
\mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\
\;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\

\mathbf{elif}\;b_2 \leq 2.8611369787865605 \cdot 10^{-67}:\\
\;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\

\mathbf{else}:\\
\;\;\;\;\frac{c}{b_2} \cdot -0.5\\

\end{array}
(FPCore (a b_2 c)
 :precision binary64
 (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))
(FPCore (a b_2 c)
 :precision binary64
 (if (<= b_2 -3.442603392340609e+58)
   (- (* 0.5 (/ c b_2)) (* 2.0 (/ b_2 a)))
   (if (<= b_2 2.8611369787865605e-67)
     (- (/ (sqrt (- (* b_2 b_2) (* c a))) a) (/ b_2 a))
     (* (/ c b_2) -0.5))))
double code(double a, double b_2, double c) {
	return (-b_2 + sqrt((b_2 * b_2) - (a * c))) / a;
}
double code(double a, double b_2, double c) {
	double tmp;
	if (b_2 <= -3.442603392340609e+58) {
		tmp = (0.5 * (c / b_2)) - (2.0 * (b_2 / a));
	} else if (b_2 <= 2.8611369787865605e-67) {
		tmp = (sqrt((b_2 * b_2) - (c * a)) / a) - (b_2 / a);
	} else {
		tmp = (c / b_2) * -0.5;
	}
	return tmp;
}

Error

Bits error versus a

Bits error versus b_2

Bits error versus c

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Alternatives

Alternative 1
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -1.1647113476638246 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 6.111661218433194 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 2
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.8859712461958166 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 3
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.4415821290296423 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.923308432062855 \cdot 10^{-68}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 4
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 7.553912811899126 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 5
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.025362195748977 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.3397624237242277 \cdot 10^{-63}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 6
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.726290412627875 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 7
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 3.319611622476088 \cdot 10^{-63}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 8
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.323683411403276 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.753140441874874 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 9
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.2936547152586363 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 10
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.20589340898146 \cdot 10^{-63}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 11
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.204763430465943 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.8220495581663625 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 12
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -1.1349813524294913 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.2951512263377415 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 13
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.323683411403276 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.717236706326388 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 14
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.0285094470705917 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 15
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 7.353788743533012 \cdot 10^{-68}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 16
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.323683411403276 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.6419391880709799 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 17
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 5.805309763583644 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 18
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.4067087386233813 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 19
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.9527810178760966 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 20
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.2555465660908484 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 21
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 3.991390608529868 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 22
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.6477409452200506 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 23
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.0144281814642566 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 24
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.204763430465943 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.7521940956951154 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 25
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -1.1647113476638246 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 5.587423997400754 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 26
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.025362195748977 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 3.40674473716722 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 27
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -1.3570777285172931 \cdot 10^{+57}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.0440653556007228 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 28
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.6419391880709799 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 29
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.44730232543911 \cdot 10^{-63}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 30
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.966923468591277 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.77407310252331 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 31
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.250516413895716 \cdot 10^{-63}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 32
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.4888803617585057 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 33
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.263202157623643 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 4.1711665172119686 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 34
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.9604786894808226 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 35
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.7518303899364273 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 36
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 9.379947711176545 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 37
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.055745167843453 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 38
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 4.66922513234586 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 39
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -1.1647113476638246 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.2214461691322978 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 40
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -4.2053083685191435 \cdot 10^{+57}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 5.943647073528562 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 41
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.0705396906873568 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 42
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.5010421194983087 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.9046999333380027 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 43
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -4.2053083685191435 \cdot 10^{+57}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 9.46802284752008 \cdot 10^{-68}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 44
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 4.23345359998008 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 45
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 4.715880932669194 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 46
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.966923468591277 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 4.005986044316421 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 47
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.9425523884181984 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 48
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.5010421194983087 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 3.0581275112745956 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 49
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.003004725333744 \cdot 10^{+57}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.7465243558387672 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 50
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.9186806209175463 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 51
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.014760934544537 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 52
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.2378759591158164 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 53
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.328183684767618 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 54
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 5.369538231217864 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 55
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 5.790906240886656 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 56
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -1.1647113476638246 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 4.990348912949583 \cdot 10^{-63}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 57
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 5.525306402457413 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 58
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 6.775269109519818 \cdot 10^{-63}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 59
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.8935323745816686 \cdot 10^{-63}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 60
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 6.67289572421148 \cdot 10^{-68}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 61
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.4609909836870958 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 62
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.0835124775858304 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 63
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -4.2053083685191435 \cdot 10^{+57}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.6768009106602423 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 64
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.1751869812482865 \cdot 10^{-63}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 65
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 3.735394984846189 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 66
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.966923468591277 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.1538750718213061 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 67
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -1.311842310124979 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.3825738171177882 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 68
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.4298551790371605 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 69
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.1263184468301767 \cdot 10^{-64}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 70
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.610163525779278 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 3.8848363740874556 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 71
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.0841516266427813 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 72
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.3822629948174918 \cdot 10^{-62}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 73
Accuracy10.2
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.966923468591277 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 3.408566335571854 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 74
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 4.409731279601016 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 75
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -4.2053083685191435 \cdot 10^{+57}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.37859401660563 \cdot 10^{-68}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 76
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.610708463832479 \cdot 10^{+57}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 4.990348912949583 \cdot 10^{-63}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 77
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -4.2053083685191435 \cdot 10^{+57}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 5.462209456543382 \cdot 10^{-66}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 78
Accuracy10.3
Cost1282
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.5010421194983087 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.223598516999831 \cdot 10^{-65}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 79
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.0122758335967232 \cdot 10^{-65}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 80
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.0012737262977304 \cdot 10^{-67}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 81
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.37859401660563 \cdot 10^{-68}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 82
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 7.561522393419793 \cdot 10^{-68}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 83
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.574045007051841 \cdot 10^{-64}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 84
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.405144443913674 \cdot 10^{-64}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 85
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 6.809074328075786 \cdot 10^{-68}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 86
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.851374493056233 \cdot 10^{-64}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 87
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 9.122690328415934 \cdot 10^{-66}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 88
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.1751869812482865 \cdot 10^{-63}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 89
Accuracy10.2
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 7.636861581713424 \cdot 10^{-67}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 90
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.204763430465943 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.77407310252331 \cdot 10^{-66}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 91
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.025362195748977 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.4798368879665027 \cdot 10^{-67}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 92
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.5010421194983087 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.3215440933300463 \cdot 10^{-64}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 93
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.599764489576998 \cdot 10^{-66}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 94
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.0492899040535189 \cdot 10^{-65}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 95
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 9.795664588749942 \cdot 10^{-66}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 96
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.5010421194983087 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.3580563156105983 \cdot 10^{-63}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 97
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 6.856678360113878 \cdot 10^{-66}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 98
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.0426503126159469 \cdot 10^{-64}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 99
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.4624874947662012 \cdot 10^{-64}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 100
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 8.77407310252331 \cdot 10^{-66}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 101
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 1.1263184468301767 \cdot 10^{-64}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 102
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -2.966923468591277 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 7.512684345628557 \cdot 10^{-64}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 103
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 7.553912811899126 \cdot 10^{-66}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 104
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.516397534019482 \cdot 10^{-63}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 105
Accuracy10.3
Cost1218
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 6.501434634956761 \cdot 10^{-65}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - c \cdot a\right)}^{0.5} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]
Alternative 106
Accuracy26.8
Cost2564
\[\begin{array}{l} \mathbf{if}\;\frac{\sqrt{b_2 \cdot b_2 - a \cdot c} - b_2}{a} \leq -\infty \lor \neg \left(\frac{\sqrt{b_2 \cdot b_2 - a \cdot c} - b_2}{a} \leq 7.170011802913556 \cdot 10^{+273}\right):\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{{\left(b_2 \cdot b_2 - a \cdot c\right)}^{0.5} - b_2}{a}\\ \end{array}\]
Alternative 107
Accuracy33.5
Cost832
\[\frac{{\left(b_2 \cdot b_2 - a \cdot c\right)}^{0.5} - b_2}{a}\]
Alternative 108
Accuracy33.9
Cost2752
\[\frac{\sqrt{\sqrt{b_2 \cdot b_2 - a \cdot c} \cdot \sqrt{\sqrt{b_2 \cdot b_2 - a \cdot c} \cdot \left(\sqrt{\sqrt{b_2 \cdot b_2 - a \cdot c}} \cdot \sqrt{\sqrt{b_2 \cdot b_2 - a \cdot c}}\right)}} - b_2}{a}\]
Alternative 109
Accuracy39.9
Cost2369
\[\begin{array}{l} \mathbf{if}\;b_2 \leq -5.122529084243594 \cdot 10^{+56}:\\ \;\;\;\;\frac{\sqrt{\sqrt{b_2 \cdot b_2 - a \cdot c} \cdot \sqrt{\left|\sqrt{b_2 \cdot b_2 - a \cdot c}\right| \cdot \left(0.5 \cdot \frac{a \cdot c}{b_2} - b_2\right)}} - b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{\sqrt[3]{{\left(\sqrt{b_2 \cdot b_2 - a \cdot c}\right)}^{3}} - b_2}{a}\\ \end{array}\]
Alternative 110
Accuracy52.8
Cost2176
\[\frac{\sqrt{\sqrt{b_2 \cdot b_2 - a \cdot c} \cdot \sqrt{\left|\sqrt{b_2 \cdot b_2 - a \cdot c}\right| \cdot \left(0.5 \cdot \frac{a \cdot c}{b_2} - b_2\right)}} - b_2}{a}\]
Alternative 111
Accuracy64.0
Cost2304
\[\frac{\sqrt{\left(\mathsf{NaN} \cdot \left(a \cdot c + \left(b_2 \cdot b_2\right) \cdot -0.5\right)\right) \cdot \sqrt{\sqrt{b_2 \cdot b_2 - a \cdot c} \cdot \left|\sqrt{b_2 \cdot b_2 - a \cdot c}\right|}} - b_2}{a}\]

Derivation

  1. Split input into 3 regimes
  2. if b_2 < -3.44260339234060877e58

    1. Initial program 38.7

      \[\frac{\left(-b_2\right) + \sqrt{b_2 \cdot b_2 - a \cdot c}}{a}\]
    2. Simplified38.7

      \[\leadsto \color{blue}{\frac{\sqrt{b_2 \cdot b_2 - a \cdot c} - b_2}{a}}\]
    3. Taylor expanded around -inf 5.1

      \[\leadsto \color{blue}{0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}}\]

    if -3.44260339234060877e58 < b_2 < 2.8611369787865605e-67

    1. Initial program 13.4

      \[\frac{\left(-b_2\right) + \sqrt{b_2 \cdot b_2 - a \cdot c}}{a}\]
    2. Simplified13.4

      \[\leadsto \color{blue}{\frac{\sqrt{b_2 \cdot b_2 - a \cdot c} - b_2}{a}}\]
    3. Using strategy rm
    4. Applied div-sub_binary6413.4

      \[\leadsto \color{blue}{\frac{\sqrt{b_2 \cdot b_2 - a \cdot c}}{a} - \frac{b_2}{a}}\]

    if 2.8611369787865605e-67 < b_2

    1. Initial program 52.8

      \[\frac{\left(-b_2\right) + \sqrt{b_2 \cdot b_2 - a \cdot c}}{a}\]
    2. Simplified52.8

      \[\leadsto \color{blue}{\frac{\sqrt{b_2 \cdot b_2 - a \cdot c} - b_2}{a}}\]
    3. Taylor expanded around inf 9.3

      \[\leadsto \color{blue}{-0.5 \cdot \frac{c}{b_2}}\]
  3. Recombined 3 regimes into one program.
  4. Final simplification10.2

    \[\leadsto \begin{array}{l} \mathbf{if}\;b_2 \leq -3.442603392340609 \cdot 10^{+58}:\\ \;\;\;\;0.5 \cdot \frac{c}{b_2} - 2 \cdot \frac{b_2}{a}\\ \mathbf{elif}\;b_2 \leq 2.8611369787865605 \cdot 10^{-67}:\\ \;\;\;\;\frac{\sqrt{b_2 \cdot b_2 - c \cdot a}}{a} - \frac{b_2}{a}\\ \mathbf{else}:\\ \;\;\;\;\frac{c}{b_2} \cdot -0.5\\ \end{array}\]

Reproduce

herbie shell --seed 2020338 
(FPCore (a b_2 c)
  :name "quad2p (problem 3.2.1, positive)"
  :precision binary64
  (/ (+ (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a))