Diagrams.Solve.Polynomial:cubForm from diagrams-solve-0.1, J

Average Accuracy: 67.7% → 90.4%

Time: 32.3s

Precision: binary64

Cost: 12496

\[ \begin{array}{c}[x, y] = \mathsf{sort}([x, y])\\ [t, a] = \mathsf{sort}([t, a])\\ \end{array} \]

Math

\[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

↓

\[\begin{array}{l} t_1 := \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ t_2 := a \cdot \left(t \cdot -4\right)\\ \mathbf{if}\;t_1 \leq -2 \cdot 10^{+302}:\\ \;\;\;\;\frac{t_2 + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{elif}\;t_1 \leq -5 \cdot 10^{+76}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq -1 \cdot 10^{-176}:\\ \;\;\;\;\frac{\mathsf{fma}\left(t, z \cdot \left(a \cdot -4\right), b\right) + x \cdot \left(9 \cdot y\right)}{z \cdot c}\\ \mathbf{elif}\;t_1 \leq 50000000000000:\\ \;\;\;\;\frac{t_2 + \frac{\mathsf{fma}\left(x, 9 \cdot y, b\right)}{z}}{c}\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+296}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{b}{c}}{z} + \left(\frac{x}{\frac{z \cdot c}{9 \cdot y}} - 4 \cdot \frac{a}{\frac{c}{t}}\right)\\ \end{array} \]

FPCore

(FPCore (x y z t a b c)
 :precision binary64
 (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)))

↓

(FPCore (x y z t a b c)
 :precision binary64
 (let* ((t_1 (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)))
        (t_2 (* a (* t -4.0))))
   (if (<= t_1 -2e+302)
     (/ (+ t_2 (/ (+ b (* 9.0 (* x y))) z)) c)
     (if (<= t_1 -5e+76)
       t_1
       (if (<= t_1 -1e-176)
         (/ (+ (fma t (* z (* a -4.0)) b) (* x (* 9.0 y))) (* z c))
         (if (<= t_1 50000000000000.0)
           (/ (+ t_2 (/ (fma x (* 9.0 y) b) z)) c)
           (if (<= t_1 5e+296)
             t_1
             (+
              (/ (/ b c) z)
              (- (/ x (/ (* z c) (* 9.0 y))) (* 4.0 (/ a (/ c t))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c) {
	return ((((x * 9.0) * y) - (((z * 4.0) * t) * a)) + b) / (z * c);
}

↓

double code(double x, double y, double z, double t, double a, double b, double c) {
	double t_1 = ((((x * 9.0) * y) - (((z * 4.0) * t) * a)) + b) / (z * c);
	double t_2 = a * (t * -4.0);
	double tmp;
	if (t_1 <= -2e+302) {
		tmp = (t_2 + ((b + (9.0 * (x * y))) / z)) / c;
	} else if (t_1 <= -5e+76) {
		tmp = t_1;
	} else if (t_1 <= -1e-176) {
		tmp = (fma(t, (z * (a * -4.0)), b) + (x * (9.0 * y))) / (z * c);
	} else if (t_1 <= 50000000000000.0) {
		tmp = (t_2 + (fma(x, (9.0 * y), b) / z)) / c;
	} else if (t_1 <= 5e+296) {
		tmp = t_1;
	} else {
		tmp = ((b / c) / z) + ((x / ((z * c) / (9.0 * y))) - (4.0 * (a / (c / t))));
	}
	return tmp;
}

Julia

function code(x, y, z, t, a, b, c)
	return Float64(Float64(Float64(Float64(Float64(x * 9.0) * y) - Float64(Float64(Float64(z * 4.0) * t) * a)) + b) / Float64(z * c))
end

↓

function code(x, y, z, t, a, b, c)
	t_1 = Float64(Float64(Float64(Float64(Float64(x * 9.0) * y) - Float64(Float64(Float64(z * 4.0) * t) * a)) + b) / Float64(z * c))
	t_2 = Float64(a * Float64(t * -4.0))
	tmp = 0.0
	if (t_1 <= -2e+302)
		tmp = Float64(Float64(t_2 + Float64(Float64(b + Float64(9.0 * Float64(x * y))) / z)) / c);
	elseif (t_1 <= -5e+76)
		tmp = t_1;
	elseif (t_1 <= -1e-176)
		tmp = Float64(Float64(fma(t, Float64(z * Float64(a * -4.0)), b) + Float64(x * Float64(9.0 * y))) / Float64(z * c));
	elseif (t_1 <= 50000000000000.0)
		tmp = Float64(Float64(t_2 + Float64(fma(x, Float64(9.0 * y), b) / z)) / c);
	elseif (t_1 <= 5e+296)
		tmp = t_1;
	else
		tmp = Float64(Float64(Float64(b / c) / z) + Float64(Float64(x / Float64(Float64(z * c) / Float64(9.0 * y))) - Float64(4.0 * Float64(a / Float64(c / t)))));
	end
	return tmp
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_] := N[(N[(N[(N[(N[(x * 9.0), $MachinePrecision] * y), $MachinePrecision] - N[(N[(N[(z * 4.0), $MachinePrecision] * t), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision] / N[(z * c), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_, b_, c_] := Block[{t$95$1 = N[(N[(N[(N[(N[(x * 9.0), $MachinePrecision] * y), $MachinePrecision] - N[(N[(N[(z * 4.0), $MachinePrecision] * t), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision] / N[(z * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(t * -4.0), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$1, -2e+302], N[(N[(t$95$2 + N[(N[(b + N[(9.0 * N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / z), $MachinePrecision]), $MachinePrecision] / c), $MachinePrecision], If[LessEqual[t$95$1, -5e+76], t$95$1, If[LessEqual[t$95$1, -1e-176], N[(N[(N[(t * N[(z * N[(a * -4.0), $MachinePrecision]), $MachinePrecision] + b), $MachinePrecision] + N[(x * N[(9.0 * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] / N[(z * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$1, 50000000000000.0], N[(N[(t$95$2 + N[(N[(x * N[(9.0 * y), $MachinePrecision] + b), $MachinePrecision] / z), $MachinePrecision]), $MachinePrecision] / c), $MachinePrecision], If[LessEqual[t$95$1, 5e+296], t$95$1, N[(N[(N[(b / c), $MachinePrecision] / z), $MachinePrecision] + N[(N[(x / N[(N[(z * c), $MachinePrecision] / N[(9.0 * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(4.0 * N[(a / N[(c / t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Target

Original	67.7%
Target	77.2%
Herbie	90.4%

\[\begin{array}{l} \mathbf{if}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} < -1.100156740804105 \cdot 10^{-171}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(z \cdot 4\right) \cdot \left(t \cdot a\right)\right) + b}{z \cdot c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} < 0:\\ \;\;\;\;\frac{\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z}}{c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} < 1.1708877911747488 \cdot 10^{-53}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(z \cdot 4\right) \cdot \left(t \cdot a\right)\right) + b}{z \cdot c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} < 2.876823679546137 \cdot 10^{+130}:\\ \;\;\;\;\left(\left(9 \cdot \frac{y}{c}\right) \cdot \frac{x}{z} + \frac{b}{c \cdot z}\right) - 4 \cdot \frac{a \cdot t}{c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} < 1.3838515042456319 \cdot 10^{+158}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(z \cdot 4\right) \cdot \left(t \cdot a\right)\right) + b}{z \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\left(9 \cdot \left(\frac{y}{c \cdot z} \cdot x\right) + \frac{b}{c \cdot z}\right) - 4 \cdot \frac{a \cdot t}{c}\\ \end{array} \]

Derivation

1. Split input into 5 regimes

2. if (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < -2.0000000000000002e302

   1. Initial program 4.9%

      \[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

   2. Simplified 57.3%

      \[\leadsto \color{blue}{\frac{a \cdot \left(t \cdot -4\right) + \frac{\mathsf{fma}\left(x, 9 \cdot y, b\right)}{z}}{c}} \]
      Proof

      [Start] 4.9	\[ \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      associate-/r* [=>] 10.8	\[ \color{blue}{\frac{\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z}}{c}} \]

   3. Taylor expanded in z around 0 57.3%

      \[\leadsto \frac{a \cdot \left(t \cdot -4\right) + \color{blue}{\frac{9 \cdot \left(y \cdot x\right) + b}{z}}}{c} \]

   if -2.0000000000000002e302 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < -4.99999999999999991e76 or 5e13 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < 5.0000000000000001e296

   1. Initial program 99.0%

      \[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

   if -4.99999999999999991e76 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < -1e-176

   1. Initial program 99.2%

      \[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

   2. Simplified 92.3%

      \[\leadsto \color{blue}{\frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, \left(z \cdot a\right) \cdot -4, b\right)\right)}{z \cdot c}} \]
      Proof

      [Start] 99.2	\[ \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      associate-+l- [=>] 99.2	\[ \frac{\color{blue}{\left(x \cdot 9\right) \cdot y - \left(\left(\left(z \cdot 4\right) \cdot t\right) \cdot a - b\right)}}{z \cdot c} \]
      associate-*l* [=>] 99.1	\[ \frac{\color{blue}{x \cdot \left(9 \cdot y\right)} - \left(\left(\left(z \cdot 4\right) \cdot t\right) \cdot a - b\right)}{z \cdot c} \]
      fma-neg [=>] 99.1	\[ \frac{\color{blue}{\mathsf{fma}\left(x, 9 \cdot y, -\left(\left(\left(z \cdot 4\right) \cdot t\right) \cdot a - b\right)\right)}}{z \cdot c} \]
      neg-sub0 [=>] 99.1	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{0 - \left(\left(\left(z \cdot 4\right) \cdot t\right) \cdot a - b\right)}\right)}{z \cdot c} \]
      associate-+l- [<=] 99.1	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{\left(0 - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}\right)}{z \cdot c} \]
      neg-sub0 [<=] 99.1	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{\left(-\left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right)} + b\right)}{z \cdot c} \]
      distribute-lft-neg-in [=>] 99.1	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{\left(-\left(z \cdot 4\right) \cdot t\right) \cdot a} + b\right)}{z \cdot c} \]
      *-commutative [=>] 99.1	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{a \cdot \left(-\left(z \cdot 4\right) \cdot t\right)} + b\right)}{z \cdot c} \]
      distribute-lft-neg-in [=>] 99.1	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, a \cdot \color{blue}{\left(\left(-z \cdot 4\right) \cdot t\right)} + b\right)}{z \cdot c} \]
      associate-*r* [=>] 92.3	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{\left(a \cdot \left(-z \cdot 4\right)\right) \cdot t} + b\right)}{z \cdot c} \]
      *-commutative [=>] 92.3	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{t \cdot \left(a \cdot \left(-z \cdot 4\right)\right)} + b\right)}{z \cdot c} \]
      fma-def [=>] 92.3	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \color{blue}{\mathsf{fma}\left(t, a \cdot \left(-z \cdot 4\right), b\right)}\right)}{z \cdot c} \]
      distribute-rgt-neg-in [<=] 92.3	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, \color{blue}{-a \cdot \left(z \cdot 4\right)}, b\right)\right)}{z \cdot c} \]
      associate-*r* [=>] 92.3	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, -\color{blue}{\left(a \cdot z\right) \cdot 4}, b\right)\right)}{z \cdot c} \]
      distribute-rgt-neg-in [=>] 92.3	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, \color{blue}{\left(a \cdot z\right) \cdot \left(-4\right)}, b\right)\right)}{z \cdot c} \]
      *-commutative [=>] 92.3	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, \color{blue}{\left(z \cdot a\right)} \cdot \left(-4\right), b\right)\right)}{z \cdot c} \]
      metadata-eval [=>] 92.3	\[ \frac{\mathsf{fma}\left(x, 9 \cdot y, \mathsf{fma}\left(t, \left(z \cdot a\right) \cdot \color{blue}{-4}, b\right)\right)}{z \cdot c} \]

   3. Applied egg-rr 92.2%

      \[\leadsto \frac{\color{blue}{\mathsf{fma}\left(t, z \cdot \left(a \cdot -4\right), b\right) + x \cdot \left(9 \cdot y\right)}}{z \cdot c} \]

   if -1e-176 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c)) < 5e13

   1. Initial program 71.9%

      \[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

   2. Simplified 98.9%

      \[\leadsto \color{blue}{\frac{a \cdot \left(t \cdot -4\right) + \frac{\mathsf{fma}\left(x, 9 \cdot y, b\right)}{z}}{c}} \]
      Proof

      [Start] 71.9	\[ \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      associate-/r* [=>] 98.3	\[ \color{blue}{\frac{\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z}}{c}} \]

   if 5.0000000000000001e296 < (/.f64 (+.f64 (-.f64 (*.f64 (*.f64 x 9) y) (*.f64 (*.f64 (*.f64 z 4) t) a)) b) (*.f64 z c))

   1. Initial program 4.0%

      \[\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]

   2. Simplified 16.8%

      \[\leadsto \color{blue}{\frac{\left(x \cdot \left(9 \cdot y\right) - \left(z \cdot 4\right) \cdot \left(t \cdot a\right)\right) + b}{z \cdot c}} \]
      Proof

      [Start] 4.0	\[ \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      associate-*l* [=>] 4.3	\[ \frac{\left(\color{blue}{x \cdot \left(9 \cdot y\right)} - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \]
      associate-*l* [=>] 16.8	\[ \frac{\left(x \cdot \left(9 \cdot y\right) - \color{blue}{\left(z \cdot 4\right) \cdot \left(t \cdot a\right)}\right) + b}{z \cdot c} \]

   3. Taylor expanded in x around 0 54.3%

      \[\leadsto \color{blue}{\left(\frac{b}{c \cdot z} + 9 \cdot \frac{y \cdot x}{c \cdot z}\right) - 4 \cdot \frac{a \cdot t}{c}} \]

   4. Simplified 75.3%

      \[\leadsto \color{blue}{\frac{\frac{b}{c}}{z} + \left(\frac{x}{\frac{z \cdot c}{9 \cdot y}} - 4 \cdot \frac{a}{\frac{c}{t}}\right)} \]
      Proof

      [Start] 54.3	\[ \left(\frac{b}{c \cdot z} + 9 \cdot \frac{y \cdot x}{c \cdot z}\right) - 4 \cdot \frac{a \cdot t}{c} \]
      associate--l+ [=>] 54.3	\[ \color{blue}{\frac{b}{c \cdot z} + \left(9 \cdot \frac{y \cdot x}{c \cdot z} - 4 \cdot \frac{a \cdot t}{c}\right)} \]
      associate-/r* [=>] 53.5	\[ \color{blue}{\frac{\frac{b}{c}}{z}} + \left(9 \cdot \frac{y \cdot x}{c \cdot z} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      *-commutative [<=] 53.5	\[ \frac{\frac{b}{c}}{z} + \left(9 \cdot \frac{y \cdot x}{\color{blue}{z \cdot c}} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      associate-*r/ [=>] 53.4	\[ \frac{\frac{b}{c}}{z} + \left(\color{blue}{\frac{9 \cdot \left(y \cdot x\right)}{z \cdot c}} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      associate-*r* [=>] 53.2	\[ \frac{\frac{b}{c}}{z} + \left(\frac{\color{blue}{\left(9 \cdot y\right) \cdot x}}{z \cdot c} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      *-commutative [<=] 53.2	\[ \frac{\frac{b}{c}}{z} + \left(\frac{\color{blue}{x \cdot \left(9 \cdot y\right)}}{z \cdot c} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      associate-/l* [=>] 66.0	\[ \frac{\frac{b}{c}}{z} + \left(\color{blue}{\frac{x}{\frac{z \cdot c}{9 \cdot y}}} - 4 \cdot \frac{a \cdot t}{c}\right) \]
      associate-/l* [=>] 75.3	\[ \frac{\frac{b}{c}}{z} + \left(\frac{x}{\frac{z \cdot c}{9 \cdot y}} - 4 \cdot \color{blue}{\frac{a}{\frac{c}{t}}}\right) \]

3. Recombined 5 regimes into one program.

4. Final simplification 90.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq -2 \cdot 10^{+302}:\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq -5 \cdot 10^{+76}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq -1 \cdot 10^{-176}:\\ \;\;\;\;\frac{\mathsf{fma}\left(t, z \cdot \left(a \cdot -4\right), b\right) + x \cdot \left(9 \cdot y\right)}{z \cdot c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq 50000000000000:\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + \frac{\mathsf{fma}\left(x, 9 \cdot y, b\right)}{z}}{c}\\ \mathbf{elif}\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c} \leq 5 \cdot 10^{+296}:\\ \;\;\;\;\frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{b}{c}}{z} + \left(\frac{x}{\frac{z \cdot c}{9 \cdot y}} - 4 \cdot \frac{a}{\frac{c}{t}}\right)\\ \end{array} \]

Alternatives

Alternative 1
Accuracy	90.6%
Cost	12496

\[\begin{array}{l} t_1 := \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ t_2 := \frac{\frac{b}{c}}{z} + \left(\frac{x}{\frac{z \cdot c}{9 \cdot y}} - 4 \cdot \frac{a}{\frac{c}{t}}\right)\\ t_3 := a \cdot \left(t \cdot -4\right)\\ \mathbf{if}\;t_1 \leq -2 \cdot 10^{+302}:\\ \;\;\;\;\frac{t_3 + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{elif}\;t_1 \leq -2 \cdot 10^{+92}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq -1 \cdot 10^{-176}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_1 \leq 50000000000000:\\ \;\;\;\;\frac{t_3 + \frac{\mathsf{fma}\left(x, 9 \cdot y, b\right)}{z}}{c}\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+296}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 2
Accuracy	90.3%
Cost	7892

\[\begin{array}{l} t_1 := \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ t_2 := \frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{if}\;t_1 \leq -2 \cdot 10^{+302}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_1 \leq -4 \cdot 10^{+17}:\\ \;\;\;\;\frac{1}{z \cdot c} \cdot \left(b + \left(x \cdot \left(9 \cdot y\right) + \left(t \cdot a\right) \cdot \left(z \cdot -4\right)\right)\right)\\ \mathbf{elif}\;t_1 \leq -1 \cdot 10^{-176}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq 50000000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+296}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{b}{c}}{z} + \left(\frac{x}{\frac{z \cdot c}{9 \cdot y}} + -4 \cdot \left(a \cdot \frac{t}{c}\right)\right)\\ \end{array} \]

Alternative 3
Accuracy	90.6%
Cost	7892

\[\begin{array}{l} t_1 := \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ t_2 := \frac{\frac{b}{c}}{z} + \left(\frac{x}{\frac{z \cdot c}{9 \cdot y}} - 4 \cdot \frac{a}{\frac{c}{t}}\right)\\ t_3 := \frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{if}\;t_1 \leq -2 \cdot 10^{+302}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t_1 \leq -2 \cdot 10^{+92}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq -1 \cdot 10^{-176}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_1 \leq 50000000000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+296}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 4
Accuracy	89.1%
Cost	6352

\[\begin{array}{l} t_1 := \frac{\left(\left(x \cdot 9\right) \cdot y - \left(\left(z \cdot 4\right) \cdot t\right) \cdot a\right) + b}{z \cdot c}\\ t_2 := \frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{if}\;t_1 \leq -2 \cdot 10^{+302}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_1 \leq -1 \cdot 10^{-176}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_1 \leq 50000000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;t_1 \leq 5 \cdot 10^{+296}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{b}{z \cdot c} - 4 \cdot \frac{a}{\frac{c}{t}}\\ \end{array} \]

Alternative 5
Accuracy	40.7%
Cost	2028

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := \frac{\frac{b}{z}}{c}\\ \mathbf{if}\;y \leq -8.5 \cdot 10^{-69}:\\ \;\;\;\;\frac{x}{c} \cdot \frac{9 \cdot y}{z}\\ \mathbf{elif}\;y \leq -4 \cdot 10^{-240}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3.05 \cdot 10^{-267}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.8 \cdot 10^{-202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 6.6 \cdot 10^{-113}:\\ \;\;\;\;b \cdot \frac{\frac{1}{z}}{c}\\ \mathbf{elif}\;y \leq 5.7 \cdot 10^{-68}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;y \leq 6.1 \cdot 10^{+32}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{+49}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.42 \cdot 10^{+138}:\\ \;\;\;\;t \cdot \frac{a \cdot -4}{c}\\ \mathbf{elif}\;y \leq 2.5 \cdot 10^{+237}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{elif}\;y \leq 7.2 \cdot 10^{+263}:\\ \;\;\;\;\frac{t \cdot \left(a \cdot -4\right)}{c}\\ \mathbf{else}:\\ \;\;\;\;\frac{x}{z} \cdot \frac{9 \cdot y}{c}\\ \end{array} \]

Alternative 6
Accuracy	39.7%
Cost	1896

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := 9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ t_3 := \frac{\frac{b}{z}}{c}\\ \mathbf{if}\;y \leq -2.25 \cdot 10^{-71}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -4.2 \cdot 10^{-239}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 10^{-268}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 2.95 \cdot 10^{-202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-112}:\\ \;\;\;\;b \cdot \frac{\frac{1}{z}}{c}\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{-68}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{+31}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{elif}\;y \leq 4.1 \cdot 10^{+49}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 2.85 \cdot 10^{+138}:\\ \;\;\;\;t \cdot \frac{a \cdot -4}{c}\\ \mathbf{elif}\;y \leq 10^{+238}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{-4}{\frac{\frac{c}{t}}{a}}\\ \end{array} \]

Alternative 7
Accuracy	39.7%
Cost	1896

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := \frac{\frac{b}{z}}{c}\\ \mathbf{if}\;y \leq -7.9 \cdot 10^{-69}:\\ \;\;\;\;\frac{x}{c} \cdot \frac{9 \cdot y}{z}\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-239}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{-268}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{-202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.06 \cdot 10^{-112}:\\ \;\;\;\;b \cdot \frac{\frac{1}{z}}{c}\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{-68}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{elif}\;y \leq 3.9 \cdot 10^{+32}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{+49}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{+136}:\\ \;\;\;\;t \cdot \frac{a \cdot -4}{c}\\ \mathbf{elif}\;y \leq 1.5 \cdot 10^{+238}:\\ \;\;\;\;9 \cdot \left(\frac{y}{z} \cdot \frac{x}{c}\right)\\ \mathbf{else}:\\ \;\;\;\;\frac{-4}{\frac{\frac{c}{t}}{a}}\\ \end{array} \]

Alternative 8
Accuracy	69.0%
Cost	1884

\[\begin{array}{l} t_1 := \frac{a \cdot \left(t \cdot -4\right) + 9 \cdot \left(y \cdot \frac{x}{z}\right)}{c}\\ t_2 := \frac{\frac{b}{z} + -4 \cdot \left(t \cdot a\right)}{c}\\ t_3 := \frac{b}{z \cdot c} - 4 \cdot \frac{a}{\frac{c}{t}}\\ t_4 := 9 \cdot \left(x \cdot y\right)\\ \mathbf{if}\;b \leq -1.8 \cdot 10^{+27}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -4.5 \cdot 10^{-73}:\\ \;\;\;\;\frac{\frac{b + t_4}{z}}{c}\\ \mathbf{elif}\;b \leq -1.5 \cdot 10^{-146}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.22 \cdot 10^{-166}:\\ \;\;\;\;\frac{t_4}{z \cdot c}\\ \mathbf{elif}\;b \leq 4.4 \cdot 10^{-54}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 0.022:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 2.7 \cdot 10^{+42}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 9
Accuracy	69.3%
Cost	1884

\[\begin{array}{l} t_1 := a \cdot \left(t \cdot -4\right)\\ t_2 := \frac{\frac{b}{z} + -4 \cdot \left(t \cdot a\right)}{c}\\ t_3 := \frac{b}{z \cdot c} - 4 \cdot \frac{a}{\frac{c}{t}}\\ t_4 := 9 \cdot \left(x \cdot y\right)\\ \mathbf{if}\;b \leq -7.6 \cdot 10^{+26}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -2.1 \cdot 10^{-73}:\\ \;\;\;\;\frac{\frac{b + t_4}{z}}{c}\\ \mathbf{elif}\;b \leq -9.2 \cdot 10^{-147}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq -1.22 \cdot 10^{-166}:\\ \;\;\;\;\frac{t_4}{z \cdot c}\\ \mathbf{elif}\;b \leq 9.8 \cdot 10^{-54}:\\ \;\;\;\;\frac{t_1 + \frac{t_4}{z}}{c}\\ \mathbf{elif}\;b \leq 0.029:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 2.75 \cdot 10^{+42}:\\ \;\;\;\;\frac{t_1 + 9 \cdot \left(y \cdot \frac{x}{z}\right)}{c}\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 10
Accuracy	66.6%
Cost	1625

\[\begin{array}{l} t_1 := b + 9 \cdot \left(x \cdot y\right)\\ t_2 := \frac{b}{z \cdot c} - 4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{if}\;z \leq -1.08 \cdot 10^{-47}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 7.4 \cdot 10^{-72}:\\ \;\;\;\;\frac{t_1}{z \cdot c}\\ \mathbf{elif}\;z \leq 1.3:\\ \;\;\;\;\frac{b - 4 \cdot \left(a \cdot \left(z \cdot t\right)\right)}{z \cdot c}\\ \mathbf{elif}\;z \leq 35000000000000:\\ \;\;\;\;\frac{\frac{t_1}{z}}{c}\\ \mathbf{elif}\;z \leq 3.4 \cdot 10^{+125} \lor \neg \left(z \leq 2.7 \cdot 10^{+175}\right):\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{b}{z} + 9 \cdot \frac{y}{\frac{z}{x}}}{c}\\ \end{array} \]

Alternative 11
Accuracy	85.3%
Cost	1481

\[\begin{array}{l} \mathbf{if}\;z \leq -1.05 \cdot 10^{-36} \lor \neg \left(z \leq 5 \cdot 10^{-37}\right):\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \mathbf{else}:\\ \;\;\;\;\frac{b + \left(x \cdot \left(9 \cdot y\right) + \left(t \cdot a\right) \cdot \left(z \cdot -4\right)\right)}{z \cdot c}\\ \end{array} \]

Alternative 12
Accuracy	68.0%
Cost	1364

\[\begin{array}{l} t_1 := \frac{b + 9 \cdot \left(x \cdot y\right)}{z \cdot c}\\ t_2 := \frac{\frac{b}{z} + -4 \cdot \left(t \cdot a\right)}{c}\\ \mathbf{if}\;z \leq -6.5 \cdot 10^{-37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4 \cdot 10^{-68}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 0.013:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 10^{+16}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{+108}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 13
Accuracy	68.1%
Cost	1364

\[\begin{array}{l} t_1 := b + 9 \cdot \left(x \cdot y\right)\\ t_2 := \frac{\frac{b}{z} + -4 \cdot \left(t \cdot a\right)}{c}\\ \mathbf{if}\;z \leq -7.2 \cdot 10^{-37}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 9 \cdot 10^{-74}:\\ \;\;\;\;\frac{t_1}{z \cdot c}\\ \mathbf{elif}\;z \leq 120:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+17}:\\ \;\;\;\;\frac{\frac{t_1}{z}}{c}\\ \mathbf{elif}\;z \leq 4 \cdot 10^{+108}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 14
Accuracy	67.5%
Cost	1361

\[\begin{array}{l} t_1 := \frac{b}{z \cdot c} - 4 \cdot \frac{a}{\frac{c}{t}}\\ t_2 := b + 9 \cdot \left(x \cdot y\right)\\ \mathbf{if}\;a \leq -1.06 \cdot 10^{-42}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -2.5 \cdot 10^{-140}:\\ \;\;\;\;\frac{\frac{t_2}{z}}{c}\\ \mathbf{elif}\;a \leq -9.6 \cdot 10^{-213} \lor \neg \left(a \leq 4 \cdot 10^{-43}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{t_2}{z \cdot c}\\ \end{array} \]

Alternative 15
Accuracy	79.6%
Cost	1353

\[\begin{array}{l} \mathbf{if}\;b \leq -1.35 \cdot 10^{+39} \lor \neg \left(b \leq 9 \cdot 10^{+106}\right):\\ \;\;\;\;\frac{b}{z \cdot c} - 4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{else}:\\ \;\;\;\;\frac{a \cdot \left(t \cdot -4\right) + \frac{b + 9 \cdot \left(x \cdot y\right)}{z}}{c}\\ \end{array} \]

Alternative 16
Accuracy	46.4%
Cost	1240

\[\begin{array}{l} t_1 := \frac{\frac{b}{c}}{z}\\ \mathbf{if}\;a \leq -4.4 \cdot 10^{-92}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{elif}\;a \leq -5.6 \cdot 10^{-305}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 5.3 \cdot 10^{-254}:\\ \;\;\;\;\frac{x}{\frac{z \cdot c}{9 \cdot y}}\\ \mathbf{elif}\;a \leq 9 \cdot 10^{-59}:\\ \;\;\;\;b \cdot \frac{\frac{1}{z}}{c}\\ \mathbf{elif}\;a \leq 8.8 \cdot 10^{-36}:\\ \;\;\;\;\frac{9 \cdot \left(x \cdot \frac{y}{z}\right)}{c}\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{-22}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \end{array} \]

Alternative 17
Accuracy	57.8%
Cost	977

\[\begin{array}{l} t_1 := -4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{if}\;z \leq -2.4 \cdot 10^{+80}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 9 \cdot 10^{+14}:\\ \;\;\;\;\frac{b + 9 \cdot \left(x \cdot y\right)}{z \cdot c}\\ \mathbf{elif}\;z \leq 3.3 \cdot 10^{+125} \lor \neg \left(z \leq 2.7 \cdot 10^{+175}\right):\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \end{array} \]

Alternative 18
Accuracy	46.2%
Cost	713

\[\begin{array}{l} \mathbf{if}\;a \leq -9.5 \cdot 10^{-44} \lor \neg \left(a \leq 1.5 \cdot 10^{-22}\right):\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \mathbf{else}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \end{array} \]

Alternative 19
Accuracy	46.6%
Cost	712

\[\begin{array}{l} \mathbf{if}\;a \leq -4 \cdot 10^{-91}:\\ \;\;\;\;-4 \cdot \frac{t}{\frac{c}{a}}\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{-22}:\\ \;\;\;\;\frac{\frac{b}{c}}{z}\\ \mathbf{else}:\\ \;\;\;\;-4 \cdot \frac{a}{\frac{c}{t}}\\ \end{array} \]

Alternative 20
Accuracy	32.6%
Cost	320

\[\frac{b}{z \cdot c} \]

Alternative 21
Accuracy	32.3%
Cost	320

\[\frac{\frac{b}{c}}{z} \]

Reproduce

herbie shell --seed 2023129 
(FPCore (x y z t a b c)
  :name "Diagrams.Solve.Polynomial:cubForm  from diagrams-solve-0.1, J"
  :precision binary64

  :herbie-target
  (if (< (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)) -1.100156740804105e-171) (/ (+ (- (* (* x 9.0) y) (* (* z 4.0) (* t a))) b) (* z c)) (if (< (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)) 0.0) (/ (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) z) c) (if (< (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)) 1.1708877911747488e-53) (/ (+ (- (* (* x 9.0) y) (* (* z 4.0) (* t a))) b) (* z c)) (if (< (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)) 2.876823679546137e+130) (- (+ (* (* 9.0 (/ y c)) (/ x z)) (/ b (* c z))) (* 4.0 (/ (* a t) c))) (if (< (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)) 1.3838515042456319e+158) (/ (+ (- (* (* x 9.0) y) (* (* z 4.0) (* t a))) b) (* z c)) (- (+ (* 9.0 (* (/ y (* c z)) x)) (/ b (* c z))) (* 4.0 (/ (* a t) c))))))))

  (/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c)))