Linear.Matrix:det33 from linear-1.19.1.3

Average Error: 12.1 → 6.5

Time: 1.7min

Precision: binary64

Cost: 5832

Math

\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]

↓

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := \left(t_2 + b \cdot \left(a \cdot i - z \cdot c\right)\right) + t_3\\ \mathbf{if}\;t_4 \leq -\infty:\\ \;\;\;\;t_1 + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;t_4 \leq 5 \cdot 10^{+302}:\\ \;\;\;\;t_3 + \left(t_2 + \left(b \cdot \left(a \cdot i\right) - b \cdot \left(z \cdot c\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(c \cdot \left(t \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\\ \end{array} \]

FPCore

(FPCore (x y z t a b c i j)
 :precision binary64
 (+
  (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
  (* j (- (* c t) (* i y)))))

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (- (* a (* b i)) (* a (* x t))))
        (t_2 (* x (- (* y z) (* t a))))
        (t_3 (* j (- (* t c) (* y i))))
        (t_4 (+ (+ t_2 (* b (- (* a i) (* z c)))) t_3)))
   (if (<= t_4 (- INFINITY))
     (+ t_1 (* t (* c j)))
     (if (<= t_4 5e+302)
       (+ t_3 (+ t_2 (- (* b (* a i)) (* b (* z c)))))
       (+ t_1 (- (* c (* t j)) (* y (* i j))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	return ((x * ((y * z) - (t * a))) - (b * ((c * z) - (i * a)))) + (j * ((c * t) - (i * y)));
}

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = (a * (b * i)) - (a * (x * t));
	double t_2 = x * ((y * z) - (t * a));
	double t_3 = j * ((t * c) - (y * i));
	double t_4 = (t_2 + (b * ((a * i) - (z * c)))) + t_3;
	double tmp;
	if (t_4 <= -((double) INFINITY)) {
		tmp = t_1 + (t * (c * j));
	} else if (t_4 <= 5e+302) {
		tmp = t_3 + (t_2 + ((b * (a * i)) - (b * (z * c))));
	} else {
		tmp = t_1 + ((c * (t * j)) - (y * (i * j)));
	}
	return tmp;
}

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	return ((x * ((y * z) - (t * a))) - (b * ((c * z) - (i * a)))) + (j * ((c * t) - (i * y)));
}

↓

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = (a * (b * i)) - (a * (x * t));
	double t_2 = x * ((y * z) - (t * a));
	double t_3 = j * ((t * c) - (y * i));
	double t_4 = (t_2 + (b * ((a * i) - (z * c)))) + t_3;
	double tmp;
	if (t_4 <= -Double.POSITIVE_INFINITY) {
		tmp = t_1 + (t * (c * j));
	} else if (t_4 <= 5e+302) {
		tmp = t_3 + (t_2 + ((b * (a * i)) - (b * (z * c))));
	} else {
		tmp = t_1 + ((c * (t * j)) - (y * (i * j)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j):
	return ((x * ((y * z) - (t * a))) - (b * ((c * z) - (i * a)))) + (j * ((c * t) - (i * y)))

↓

def code(x, y, z, t, a, b, c, i, j):
	t_1 = (a * (b * i)) - (a * (x * t))
	t_2 = x * ((y * z) - (t * a))
	t_3 = j * ((t * c) - (y * i))
	t_4 = (t_2 + (b * ((a * i) - (z * c)))) + t_3
	tmp = 0
	if t_4 <= -math.inf:
		tmp = t_1 + (t * (c * j))
	elif t_4 <= 5e+302:
		tmp = t_3 + (t_2 + ((b * (a * i)) - (b * (z * c))))
	else:
		tmp = t_1 + ((c * (t * j)) - (y * (i * j)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j)
	return Float64(Float64(Float64(x * Float64(Float64(y * z) - Float64(t * a))) - Float64(b * Float64(Float64(c * z) - Float64(i * a)))) + Float64(j * Float64(Float64(c * t) - Float64(i * y))))
end

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(Float64(a * Float64(b * i)) - Float64(a * Float64(x * t)))
	t_2 = Float64(x * Float64(Float64(y * z) - Float64(t * a)))
	t_3 = Float64(j * Float64(Float64(t * c) - Float64(y * i)))
	t_4 = Float64(Float64(t_2 + Float64(b * Float64(Float64(a * i) - Float64(z * c)))) + t_3)
	tmp = 0.0
	if (t_4 <= Float64(-Inf))
		tmp = Float64(t_1 + Float64(t * Float64(c * j)));
	elseif (t_4 <= 5e+302)
		tmp = Float64(t_3 + Float64(t_2 + Float64(Float64(b * Float64(a * i)) - Float64(b * Float64(z * c)))));
	else
		tmp = Float64(t_1 + Float64(Float64(c * Float64(t * j)) - Float64(y * Float64(i * j))));
	end
	return tmp
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j)
	tmp = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (i * a)))) + (j * ((c * t) - (i * y)));
end

↓

function tmp_2 = code(x, y, z, t, a, b, c, i, j)
	t_1 = (a * (b * i)) - (a * (x * t));
	t_2 = x * ((y * z) - (t * a));
	t_3 = j * ((t * c) - (y * i));
	t_4 = (t_2 + (b * ((a * i) - (z * c)))) + t_3;
	tmp = 0.0;
	if (t_4 <= -Inf)
		tmp = t_1 + (t * (c * j));
	elseif (t_4 <= 5e+302)
		tmp = t_3 + (t_2 + ((b * (a * i)) - (b * (z * c))));
	else
		tmp = t_1 + ((c * (t * j)) - (y * (i * j)));
	end
	tmp_2 = tmp;
end

Wolfram

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

↓

code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := Block[{t$95$1 = N[(N[(a * N[(b * i), $MachinePrecision]), $MachinePrecision] - N[(a * N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(N[(t * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t$95$2 + N[(b * N[(N[(a * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]}, If[LessEqual[t$95$4, (-Infinity)], N[(t$95$1 + N[(t * N[(c * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$4, 5e+302], N[(t$95$3 + N[(t$95$2 + N[(N[(b * N[(a * i), $MachinePrecision]), $MachinePrecision] - N[(b * N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t$95$1 + N[(N[(c * N[(t * j), $MachinePrecision]), $MachinePrecision] - N[(y * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Target

Original	12.1
Target	15.9
Herbie	6.5

\[\begin{array}{l} \mathbf{if}\;t < -8.120978919195912 \cdot 10^{-33}:\\ \;\;\;\;x \cdot \left(z \cdot y - a \cdot t\right) - \left(b \cdot \left(z \cdot c - a \cdot i\right) - \left(c \cdot t - y \cdot i\right) \cdot j\right)\\ \mathbf{elif}\;t < -4.712553818218485 \cdot 10^{-169}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \frac{j \cdot \left({\left(c \cdot t\right)}^{2} - {\left(i \cdot y\right)}^{2}\right)}{c \cdot t + i \cdot y}\\ \mathbf{elif}\;t < -7.633533346031584 \cdot 10^{-308}:\\ \;\;\;\;x \cdot \left(z \cdot y - a \cdot t\right) - \left(b \cdot \left(z \cdot c - a \cdot i\right) - \left(c \cdot t - y \cdot i\right) \cdot j\right)\\ \mathbf{elif}\;t < 1.0535888557455487 \cdot 10^{-139}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \frac{j \cdot \left({\left(c \cdot t\right)}^{2} - {\left(i \cdot y\right)}^{2}\right)}{c \cdot t + i \cdot y}\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(z \cdot y - a \cdot t\right) - \left(b \cdot \left(z \cdot c - a \cdot i\right) - \left(c \cdot t - y \cdot i\right) \cdot j\right)\\ \end{array} \]

Derivation

1. Split input into 3 regimes

2. if (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))) < -inf.0

   1. Initial program 64.0

      \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]

   2. Taylor expanded in y around 0 49.9

      \[\leadsto \left(\color{blue}{-1 \cdot \left(a \cdot \left(t \cdot x\right)\right)} - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]

   3. Simplified 49.9

      \[\leadsto \left(\color{blue}{a \cdot \left(t \cdot \left(-x\right)\right)} - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      Proof
      (*.f64 a (*.f64 t (neg.f64 x))): 0 points increase in error, 0 points decrease in error
      (*.f64 a (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 t x)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 a (*.f64 t x)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 a (*.f64 t x)))): 0 points increase in error, 0 points decrease in error

   4. Taylor expanded in c around 0 38.2

      \[\leadsto \left(a \cdot \left(t \cdot \left(-x\right)\right) - \color{blue}{-1 \cdot \left(a \cdot \left(i \cdot b\right)\right)}\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]

   5. Taylor expanded in c around inf 34.3

      \[\leadsto \left(a \cdot \left(t \cdot \left(-x\right)\right) - -1 \cdot \left(a \cdot \left(i \cdot b\right)\right)\right) + \color{blue}{c \cdot \left(t \cdot j\right)} \]

   6. Simplified 33.5

      \[\leadsto \left(a \cdot \left(t \cdot \left(-x\right)\right) - -1 \cdot \left(a \cdot \left(i \cdot b\right)\right)\right) + \color{blue}{t \cdot \left(c \cdot j\right)} \]
      Proof
      (*.f64 t (*.f64 c j)): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 t c) j)): 62 points increase in error, 45 points decrease in error
      (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 c t)) j): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-*r*_binary64 (*.f64 c (*.f64 t j))): 50 points increase in error, 59 points decrease in error

   if -inf.0 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))) < 5e302

   1. Initial program 0.8

      \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]

   2. Applied egg-rr 0.8

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

   if 5e302 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))))

   1. Initial program 59.7

      \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]

   2. Taylor expanded in y around 0 49.4

      \[\leadsto \left(\color{blue}{-1 \cdot \left(a \cdot \left(t \cdot x\right)\right)} - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]

   3. Simplified 49.4

      \[\leadsto \left(\color{blue}{a \cdot \left(t \cdot \left(-x\right)\right)} - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      Proof
      (*.f64 a (*.f64 t (neg.f64 x))): 0 points increase in error, 0 points decrease in error
      (*.f64 a (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 t x)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 a (*.f64 t x)))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 a (*.f64 t x)))): 0 points increase in error, 0 points decrease in error

   4. Taylor expanded in c around 0 40.7

      \[\leadsto \left(a \cdot \left(t \cdot \left(-x\right)\right) - \color{blue}{-1 \cdot \left(a \cdot \left(i \cdot b\right)\right)}\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]

   5. Taylor expanded in c around 0 30.4

      \[\leadsto \left(a \cdot \left(t \cdot \left(-x\right)\right) - -1 \cdot \left(a \cdot \left(i \cdot b\right)\right)\right) + \color{blue}{\left(c \cdot \left(t \cdot j\right) + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 6.5

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \leq -\infty:\\ \;\;\;\;\left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \leq 5 \cdot 10^{+302}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + \left(b \cdot \left(a \cdot i\right) - b \cdot \left(z \cdot c\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right) + \left(c \cdot \left(t \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	6.5
Cost	5704

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\\ t_2 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;t_1 + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;t_2 \leq 5 \cdot 10^{+302}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(c \cdot \left(t \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\\ \end{array} \]

Alternative 2
Error	25.0
Cost	3192

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := a \cdot \left(x \cdot t\right)\\ t_3 := z \cdot \left(b \cdot c\right)\\ t_4 := a \cdot \left(b \cdot i\right) - t_2\\ t_5 := t \cdot \left(c \cdot j\right)\\ t_6 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_7 := t_5 + \left(t_6 - t_2\right)\\ t_8 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_9 := y \cdot \left(x \cdot z\right)\\ t_10 := j \cdot \left(t \cdot c - y \cdot i\right) + \left(t_9 - t_3\right)\\ \mathbf{if}\;x \leq -19000000000000:\\ \;\;\;\;t_5 - \left(t_3 - t_8\right)\\ \mathbf{elif}\;x \leq -3.5348264977032257 \cdot 10^{-28}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;x \leq -6.046517807197433 \cdot 10^{-62}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -4.6767661329536114 \cdot 10^{-97}:\\ \;\;\;\;t_4 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;x \leq -2.7848845284144997 \cdot 10^{-131}:\\ \;\;\;\;t_1 + \left(t_9 + b \cdot \left(a \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -7.878533146442148 \cdot 10^{-211}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;x \leq -1.8352477016738784 \cdot 10^{-279}:\\ \;\;\;\;t_4 - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;x \leq 2.7757586493561928 \cdot 10^{-306}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;x \leq 8.014348730822262 \cdot 10^{-174}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 5.162983387804464 \cdot 10^{-108}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;x \leq 5.091618344978877 \cdot 10^{-63}:\\ \;\;\;\;t_1 + \left(i \cdot \left(a \cdot b\right) - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;x \leq 3.663665777813893 \cdot 10^{-38}:\\ \;\;\;\;t_1 + \left(t_9 + t_6\right)\\ \mathbf{elif}\;x \leq 2400:\\ \;\;\;\;t_4 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+43}:\\ \;\;\;\;t_10\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(t_8 - b \cdot \left(z \cdot c\right)\right)\\ \end{array} \]

Alternative 3
Error	26.7
Cost	3060

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_5 := t \cdot \left(c \cdot j\right)\\ t_6 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_7 := t_1 + \left(t_2 + t_6\right)\\ t_8 := t_1 + \left(t_3 - b \cdot \left(z \cdot c\right)\right)\\ t_9 := a \cdot \left(x \cdot t\right)\\ t_10 := z \cdot \left(b \cdot c\right)\\ t_11 := a \cdot \left(b \cdot i\right) - t_9\\ t_12 := t_11 - i \cdot \left(y \cdot j\right)\\ t_13 := t_5 - \left(t_10 - t_3\right)\\ \mathbf{if}\;i \leq -8.6 \cdot 10^{+177}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;i \leq -2.7 \cdot 10^{+134}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;i \leq -1.3 \cdot 10^{+84}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;i \leq -7.513518693144511 \cdot 10^{-50}:\\ \;\;\;\;t_5 + \left(t_6 - t_9\right)\\ \mathbf{elif}\;i \leq -4.414633966459458 \cdot 10^{-70}:\\ \;\;\;\;\left(t_3 - t_10\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;i \leq -6.894778112965282 \cdot 10^{-112}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;i \leq -1.0292547281795109 \cdot 10^{-153}:\\ \;\;\;\;t_4 - \left(t_9 + t_10\right)\\ \mathbf{elif}\;i \leq 1.7680203076139795 \cdot 10^{-279}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;i \leq 9.383577179478856 \cdot 10^{-212}:\\ \;\;\;\;t_11 + t_5\\ \mathbf{elif}\;i \leq 5.816741013108365 \cdot 10^{-141}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;i \leq 2.0199012757916624 \cdot 10^{-77}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;i \leq 9.174447477479728 \cdot 10^{-40}:\\ \;\;\;\;t_4 + \left(t_2 - t_10\right)\\ \mathbf{elif}\;i \leq 1.8 \cdot 10^{+133}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_12\\ \end{array} \]

Alternative 4
Error	24.4
Cost	3060

\[\begin{array}{l} t_1 := i \cdot \left(a \cdot b\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := a \cdot \left(x \cdot t\right)\\ t_5 := z \cdot \left(b \cdot c\right)\\ t_6 := t_3 - \left(t_4 + t_5\right)\\ t_7 := a \cdot \left(b \cdot i\right)\\ t_8 := t_7 - t_4\\ t_9 := c \cdot \left(t \cdot j\right)\\ t_10 := t_9 + \left(t_2 + b \cdot \left(a \cdot i\right)\right)\\ t_11 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_12 := b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{if}\;x \leq -5.1 \cdot 10^{+23}:\\ \;\;\;\;t_9 + \left(t_11 + t_7\right)\\ \mathbf{elif}\;x \leq -1.337326973311818 \cdot 10^{-88}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -2.7848845284144997 \cdot 10^{-131}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;x \leq -1.163175268266571 \cdot 10^{-180}:\\ \;\;\;\;t_3 + \left(t_2 - t_5\right)\\ \mathbf{elif}\;x \leq -2.3918168479182543 \cdot 10^{-214}:\\ \;\;\;\;t_9 + \left(x \cdot \left(y \cdot z\right) + t_1\right)\\ \mathbf{elif}\;x \leq -1.0728019329747692 \cdot 10^{-240}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -2.3542524973917427 \cdot 10^{-265}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;x \leq 1.4528119007010956 \cdot 10^{-284}:\\ \;\;\;\;t_3 + t_8\\ \mathbf{elif}\;x \leq 5.718362154190511 \cdot 10^{-212}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(t_12 - t_4\right)\\ \mathbf{elif}\;x \leq 1.4311226209824776 \cdot 10^{-131}:\\ \;\;\;\;\left(t_2 + t_12\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;x \leq 1.521387478676705 \cdot 10^{-109}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 3.663665777813893 \cdot 10^{-38}:\\ \;\;\;\;t_9 + \left(t_2 + \left(t_1 - c \cdot \left(z \cdot b\right)\right)\right)\\ \mathbf{elif}\;x \leq 270000:\\ \;\;\;\;t_8 - y \cdot \left(i \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_9 + \left(t_11 - b \cdot \left(z \cdot c\right)\right)\\ \end{array} \]

Alternative 5
Error	35.4
Cost	2936

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := b \cdot \left(z \cdot c\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := x \cdot \left(y \cdot z\right)\\ t_5 := a \cdot \left(b \cdot i\right)\\ t_6 := t_5 - t_1\\ t_7 := t_6 - j \cdot \left(y \cdot i\right)\\ t_8 := t_6 + t \cdot \left(c \cdot j\right)\\ t_9 := c \cdot \left(t \cdot j\right)\\ t_10 := t_9 + \left(t_3 + b \cdot \left(a \cdot i\right)\right)\\ t_11 := t_9 + \left(t_4 - t_2\right)\\ t_12 := t_9 + \left(t_3 - t_2\right)\\ \mathbf{if}\;j \leq -1.15 \cdot 10^{+121}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -1 \cdot 10^{-20}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq -9 \cdot 10^{-45}:\\ \;\;\;\;t_9 + \left(t_4 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -6.424511351964309 \cdot 10^{-158}:\\ \;\;\;\;t_9 - \left(t_1 + t_2\right)\\ \mathbf{elif}\;j \leq -1.8975149649400454 \cdot 10^{-200}:\\ \;\;\;\;t_9 + \left(t_5 + t_3\right)\\ \mathbf{elif}\;j \leq -1.9688474359684163 \cdot 10^{-233}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;j \leq -8.1602980500821 \cdot 10^{-271}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 2.2675589469303425 \cdot 10^{-306}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq 3.573621593814026 \cdot 10^{-143}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 4.024785986652249 \cdot 10^{-124}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;j \leq 2.1 \cdot 10^{-78}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{-22}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq 750000000:\\ \;\;\;\;t_9 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;j \leq 5.6 \cdot 10^{+163}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_10\\ \end{array} \]

Alternative 6
Error	35.3
Cost	2936

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := b \cdot \left(z \cdot c\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := x \cdot \left(y \cdot z\right)\\ t_5 := a \cdot \left(b \cdot i\right)\\ t_6 := t_5 - t_1\\ t_7 := t_6 - j \cdot \left(y \cdot i\right)\\ t_8 := t_6 + t \cdot \left(c \cdot j\right)\\ t_9 := c \cdot \left(t \cdot j\right)\\ t_10 := t_9 + \left(t_3 + b \cdot \left(a \cdot i\right)\right)\\ t_11 := t_9 + \left(t_4 - t_2\right)\\ t_12 := t_9 + \left(t_3 - t_2\right)\\ \mathbf{if}\;j \leq -1.15 \cdot 10^{+121}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -1 \cdot 10^{-20}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq -9 \cdot 10^{-45}:\\ \;\;\;\;t_9 + \left(t_4 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -6.424511351964309 \cdot 10^{-158}:\\ \;\;\;\;t_9 - \left(t_1 + t_2\right)\\ \mathbf{elif}\;j \leq -1.8975149649400454 \cdot 10^{-200}:\\ \;\;\;\;t_9 + \left(t_5 + t_3\right)\\ \mathbf{elif}\;j \leq -1.9688474359684163 \cdot 10^{-233}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;j \leq -8.1602980500821 \cdot 10^{-271}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 2.2675589469303425 \cdot 10^{-306}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq 3.573621593814026 \cdot 10^{-143}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 4.024785986652249 \cdot 10^{-124}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;j \leq 2.1 \cdot 10^{-78}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{-22}:\\ \;\;\;\;t_6 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;j \leq 750000000:\\ \;\;\;\;t_9 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;j \leq 5.6 \cdot 10^{+163}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_10\\ \end{array} \]

Alternative 7
Error	26.1
Cost	2928

\[\begin{array}{l} t_1 := z \cdot \left(b \cdot c\right)\\ t_2 := b \cdot \left(z \cdot c\right)\\ t_3 := a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\\ t_4 := c \cdot \left(t \cdot j\right)\\ t_5 := t_4 + \left(i \cdot \left(a \cdot b\right) - t \cdot \left(x \cdot a\right)\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := y \cdot \left(x \cdot z\right)\\ t_8 := j \cdot \left(t \cdot c - y \cdot i\right) + \left(t_7 - t_1\right)\\ t_9 := t_3 - y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;x \leq -19000000000000:\\ \;\;\;\;t \cdot \left(c \cdot j\right) - \left(t_1 - t_6\right)\\ \mathbf{elif}\;x \leq -3.5348264977032257 \cdot 10^{-28}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq -2.7848845284144997 \cdot 10^{-131}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -7.878533146442148 \cdot 10^{-211}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq -1.8352477016738784 \cdot 10^{-279}:\\ \;\;\;\;t_3 - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;x \leq 1.4430622854290727 \cdot 10^{-228}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq 8.014348730822262 \cdot 10^{-174}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;x \leq 5.162983387804464 \cdot 10^{-108}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq 9.18461911112377 \cdot 10^{-62}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 3.663665777813893 \cdot 10^{-38}:\\ \;\;\;\;t_4 + \left(t_7 - t_2\right)\\ \mathbf{elif}\;x \leq 2400:\\ \;\;\;\;t_9\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+43}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_4 + \left(t_6 - t_2\right)\\ \end{array} \]

Alternative 8
Error	25.9
Cost	2928

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := t \cdot \left(c \cdot j\right)\\ t_3 := z \cdot \left(b \cdot c\right)\\ t_4 := c \cdot \left(t \cdot j\right)\\ t_5 := t_4 + \left(t_1 + b \cdot \left(a \cdot i - z \cdot c\right)\right)\\ t_6 := a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\\ t_7 := t_6 - j \cdot \left(y \cdot i\right)\\ t_8 := j \cdot \left(t \cdot c - y \cdot i\right) + \left(t_1 - t_3\right)\\ \mathbf{if}\;a \leq -9 \cdot 10^{+63}:\\ \;\;\;\;t_6 + t_2\\ \mathbf{elif}\;a \leq -5400:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq -5.575467924302409 \cdot 10^{-33}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq -1.8363648069370862 \cdot 10^{-51}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq -8.937825794444394 \cdot 10^{-78}:\\ \;\;\;\;t_4 + \left(i \cdot \left(a \cdot b\right) - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -8.363390041429489 \cdot 10^{-110}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq -7.502272591989997 \cdot 10^{-119}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq -2.39053708934497 \cdot 10^{-238}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 5.748921400592337 \cdot 10^{-239}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 7.343938823645256 \cdot 10^{-134}:\\ \;\;\;\;t_2 - \left(t_3 - x \cdot \left(y \cdot z - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 2.6707705390630453 \cdot 10^{-92}:\\ \;\;\;\;t_6 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;a \leq 1.48 \cdot 10^{+118}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 9
Error	24.9
Cost	2928

\[\begin{array}{l} t_1 := z \cdot \left(b \cdot c\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := a \cdot \left(x \cdot t\right)\\ t_4 := a \cdot \left(b \cdot i\right) - t_3\\ t_5 := b \cdot \left(z \cdot c\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := y \cdot \left(x \cdot z\right)\\ t_8 := j \cdot \left(t \cdot c - y \cdot i\right) + \left(t_7 - t_1\right)\\ t_9 := t_2 + \left(t_7 + b \cdot \left(a \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;x \leq -19000000000000:\\ \;\;\;\;t \cdot \left(c \cdot j\right) - \left(t_1 - t_6\right)\\ \mathbf{elif}\;x \leq -3.5348264977032257 \cdot 10^{-28}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq -6.046517807197433 \cdot 10^{-62}:\\ \;\;\;\;t_2 - \left(t_3 + t_5\right)\\ \mathbf{elif}\;x \leq -4.6767661329536114 \cdot 10^{-97}:\\ \;\;\;\;t_4 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;x \leq -2.7848845284144997 \cdot 10^{-131}:\\ \;\;\;\;t_2 + \left(t_7 + b \cdot \left(a \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -7.878533146442148 \cdot 10^{-211}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq -1.8352477016738784 \cdot 10^{-279}:\\ \;\;\;\;t_4 - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;x \leq 5.314358343786415 \cdot 10^{-277}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq 8.014348730822262 \cdot 10^{-174}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;x \leq 5.162983387804464 \cdot 10^{-108}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq 3.663665777813893 \cdot 10^{-38}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;x \leq 270000:\\ \;\;\;\;t_4 - y \cdot \left(i \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_2 + \left(t_6 - t_5\right)\\ \end{array} \]

Alternative 10
Error	24.9
Cost	2928

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := a \cdot \left(b \cdot i\right)\\ t_5 := a \cdot \left(x \cdot t\right)\\ t_6 := z \cdot \left(b \cdot c\right)\\ t_7 := t_2 + \left(t_1 - t_6\right)\\ t_8 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_9 := c \cdot \left(t \cdot j\right)\\ t_10 := t_4 - t_5\\ \mathbf{if}\;x \leq -5.1 \cdot 10^{+23}:\\ \;\;\;\;t_9 + \left(t_3 + t_4\right)\\ \mathbf{elif}\;x \leq -1.337326973311818 \cdot 10^{-88}:\\ \;\;\;\;t_2 - \left(t_5 + t_6\right)\\ \mathbf{elif}\;x \leq -2.7848845284144997 \cdot 10^{-131}:\\ \;\;\;\;t_9 + \left(t_1 + b \cdot \left(a \cdot i\right)\right)\\ \mathbf{elif}\;x \leq -7.878533146442148 \cdot 10^{-211}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -1.8352477016738784 \cdot 10^{-279}:\\ \;\;\;\;t_10 - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;x \leq 2.7757586493561928 \cdot 10^{-306}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 8.014348730822262 \cdot 10^{-174}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(t_8 - t_5\right)\\ \mathbf{elif}\;x \leq 5.162983387804464 \cdot 10^{-108}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 5.091618344978877 \cdot 10^{-63}:\\ \;\;\;\;t_9 + \left(i \cdot \left(a \cdot b\right) - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;x \leq 3.663665777813893 \cdot 10^{-38}:\\ \;\;\;\;t_9 + \left(t_1 + t_8\right)\\ \mathbf{elif}\;x \leq 2400:\\ \;\;\;\;t_10 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+43}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_9 + \left(t_3 - b \cdot \left(z \cdot c\right)\right)\\ \end{array} \]

Alternative 11
Error	23.6
Cost	2796

\[\begin{array}{l} t_1 := z \cdot \left(b \cdot c\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := t \cdot \left(c \cdot j\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_2 + \left(t_4 - b \cdot \left(z \cdot c\right)\right)\\ t_6 := a \cdot \left(x \cdot t\right)\\ t_7 := y \cdot \left(x \cdot z\right) + b \cdot \left(a \cdot i - z \cdot c\right)\\ t_8 := t_7 - i \cdot \left(y \cdot j\right)\\ t_9 := j \cdot \left(t \cdot c - y \cdot i\right) + \left(i \cdot \left(a \cdot b\right) - t_6\right)\\ \mathbf{if}\;i \leq -1.2846337340708726 \cdot 10^{-51}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;i \leq -5.679166501716316 \cdot 10^{-100}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -1.0292547281795109 \cdot 10^{-153}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq 1.7680203076139795 \cdot 10^{-279}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 9.383577179478856 \cdot 10^{-212}:\\ \;\;\;\;\left(a \cdot \left(b \cdot i\right) - t_6\right) + t_3\\ \mathbf{elif}\;i \leq 5.816741013108365 \cdot 10^{-141}:\\ \;\;\;\;t_3 - \left(t_1 - t_4\right)\\ \mathbf{elif}\;i \leq 2.0199012757916624 \cdot 10^{-77}:\\ \;\;\;\;t_2 + t_7\\ \mathbf{elif}\;i \leq 8.375237478795542 \cdot 10^{-54}:\\ \;\;\;\;\left(t_4 - t_1\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;i \leq 5.95957514772179 \cdot 10^{-36}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq 5 \cdot 10^{+18}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 10^{+130}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_9\\ \end{array} \]

Alternative 12
Error	25.7
Cost	2796

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := t \cdot \left(c \cdot j\right)\\ t_3 := i \cdot \left(y \cdot j\right)\\ t_4 := a \cdot \left(x \cdot t\right)\\ t_5 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_6 := z \cdot \left(b \cdot c\right)\\ t_7 := a \cdot \left(b \cdot i\right) - t_4\\ t_8 := t_7 + t_2\\ t_9 := t_5 + t_7\\ t_10 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_11 := t_1 + t_10\\ t_12 := t_11 - t_3\\ t_13 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;j \leq -9.5 \cdot 10^{+147}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq -5 \cdot 10^{+62}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;j \leq -5.8 \cdot 10^{-44}:\\ \;\;\;\;t_5 + \left(t_1 - t_6\right)\\ \mathbf{elif}\;j \leq -1.828841392910456 \cdot 10^{-176}:\\ \;\;\;\;t_2 + \left(t_10 - t_4\right)\\ \mathbf{elif}\;j \leq -1.1634781122477908 \cdot 10^{-247}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;j \leq -8.1602980500821 \cdot 10^{-271}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 6.72873505181046 \cdot 10^{-275}:\\ \;\;\;\;\left(t_13 - t_6\right) - t_3\\ \mathbf{elif}\;j \leq 3.573621593814026 \cdot 10^{-143}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{+17}:\\ \;\;\;\;c \cdot \left(t \cdot j\right) + t_11\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{+189}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq 6 \cdot 10^{+296}:\\ \;\;\;\;t_2 - \left(t_6 - t_13\right)\\ \mathbf{else}:\\ \;\;\;\;t_5 - \left(t_4 + t_6\right)\\ \end{array} \]

Alternative 13
Error	25.9
Cost	2796

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := i \cdot \left(y \cdot j\right)\\ t_3 := a \cdot \left(x \cdot t\right)\\ t_4 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_5 := z \cdot \left(b \cdot c\right)\\ t_6 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_7 := \left(t_1 + t_6\right) - t_2\\ t_8 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_9 := a \cdot \left(b \cdot i\right)\\ t_10 := t_9 - t_3\\ t_11 := t_4 + t_10\\ t_12 := t \cdot \left(c \cdot j\right)\\ t_13 := t_10 + t_12\\ \mathbf{if}\;j \leq -9.5 \cdot 10^{+147}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq -5 \cdot 10^{+62}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -5.8 \cdot 10^{-44}:\\ \;\;\;\;t_4 + \left(t_1 - t_5\right)\\ \mathbf{elif}\;j \leq -1.828841392910456 \cdot 10^{-176}:\\ \;\;\;\;t_12 + \left(t_6 - t_3\right)\\ \mathbf{elif}\;j \leq -6.3998541476768985 \cdot 10^{-254}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -8.1602980500821 \cdot 10^{-271}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;j \leq 6.72873505181046 \cdot 10^{-275}:\\ \;\;\;\;\left(t_8 - t_5\right) - t_2\\ \mathbf{elif}\;j \leq 3.573621593814026 \cdot 10^{-143}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;j \leq 2 \cdot 10^{+27}:\\ \;\;\;\;c \cdot \left(t \cdot j\right) + \left(t_1 + \left(t_9 - c \cdot \left(z \cdot b\right)\right)\right)\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{+189}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq 6 \cdot 10^{+296}:\\ \;\;\;\;t_12 - \left(t_5 - t_8\right)\\ \mathbf{else}:\\ \;\;\;\;t_4 - \left(t_3 + t_5\right)\\ \end{array} \]

Alternative 14
Error	20.3
Cost	2788

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot b\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_5 := \left(t_3 + t_4\right) - y \cdot \left(i \cdot j\right)\\ t_6 := a \cdot \left(b \cdot i\right)\\ t_7 := a \cdot \left(x \cdot t\right)\\ t_8 := t_6 - t_7\\ t_9 := z \cdot \left(b \cdot c\right)\\ t_10 := t \cdot \left(c \cdot j\right)\\ t_11 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_12 := i \cdot \left(a \cdot b\right)\\ t_13 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;j \leq -1 \cdot 10^{+62}:\\ \;\;\;\;t_11 + \left(t_3 + t_12\right)\\ \mathbf{elif}\;j \leq -7.4 \cdot 10^{-19}:\\ \;\;\;\;t_11 + \left(t_2 - t_9\right)\\ \mathbf{elif}\;j \leq -1.9 \cdot 10^{-54}:\\ \;\;\;\;t_13 + \left(t_2 + \left(t_12 - t_1\right)\right)\\ \mathbf{elif}\;j \leq -7.568097736505965 \cdot 10^{-134}:\\ \;\;\;\;t_10 + \left(t_4 - t_7\right)\\ \mathbf{elif}\;j \leq 1.237943657568817 \cdot 10^{-250}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 3.573621593814026 \cdot 10^{-143}:\\ \;\;\;\;t_8 + t_10\\ \mathbf{elif}\;j \leq 8.2 \cdot 10^{-53}:\\ \;\;\;\;t_13 + \left(t_2 + \left(t_6 - t_1\right)\right)\\ \mathbf{elif}\;j \leq 2.55 \cdot 10^{+76}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 10^{+200}:\\ \;\;\;\;t_11 + t_8\\ \mathbf{else}:\\ \;\;\;\;t_11 + \left(t_3 - t_9\right)\\ \end{array} \]

Alternative 15
Error	20.3
Cost	2788

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot b\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_5 := \left(t_3 + t_4\right) - i \cdot \left(y \cdot j\right)\\ t_6 := a \cdot \left(b \cdot i\right)\\ t_7 := a \cdot \left(x \cdot t\right)\\ t_8 := t_6 - t_7\\ t_9 := z \cdot \left(b \cdot c\right)\\ t_10 := t \cdot \left(c \cdot j\right)\\ t_11 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_12 := i \cdot \left(a \cdot b\right)\\ t_13 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;j \leq -1 \cdot 10^{+62}:\\ \;\;\;\;t_11 + \left(t_3 + t_12\right)\\ \mathbf{elif}\;j \leq -7.4 \cdot 10^{-19}:\\ \;\;\;\;t_11 + \left(t_2 - t_9\right)\\ \mathbf{elif}\;j \leq -1.9 \cdot 10^{-54}:\\ \;\;\;\;t_13 + \left(t_2 + \left(t_12 - t_1\right)\right)\\ \mathbf{elif}\;j \leq -7.568097736505965 \cdot 10^{-134}:\\ \;\;\;\;t_10 + \left(t_4 - t_7\right)\\ \mathbf{elif}\;j \leq 1.237943657568817 \cdot 10^{-250}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 3.573621593814026 \cdot 10^{-143}:\\ \;\;\;\;t_8 + t_10\\ \mathbf{elif}\;j \leq 8.2 \cdot 10^{-53}:\\ \;\;\;\;t_13 + \left(t_2 + \left(t_6 - t_1\right)\right)\\ \mathbf{elif}\;j \leq 2.55 \cdot 10^{+76}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 10^{+200}:\\ \;\;\;\;t_11 + t_8\\ \mathbf{else}:\\ \;\;\;\;t_11 + \left(t_3 - t_9\right)\\ \end{array} \]

Alternative 16
Error	27.0
Cost	2672

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := t \cdot \left(c \cdot j\right)\\ t_4 := z \cdot \left(b \cdot c\right)\\ t_5 := a \cdot \left(b \cdot i\right)\\ t_6 := t_5 - a \cdot \left(x \cdot t\right)\\ t_7 := t_6 + t_3\\ t_8 := t_6 - j \cdot \left(y \cdot i\right)\\ t_9 := j \cdot \left(t \cdot c - y \cdot i\right) + \left(t_1 - t_4\right)\\ \mathbf{if}\;a \leq -9 \cdot 10^{+63}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq -5400:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq -5.575467924302409 \cdot 10^{-33}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq -1.8363648069370862 \cdot 10^{-51}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq -8.937825794444394 \cdot 10^{-78}:\\ \;\;\;\;t_2 + \left(i \cdot \left(a \cdot b\right) - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -8.363390041429489 \cdot 10^{-110}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 5.748921400592337 \cdot 10^{-239}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq 7.343938823645256 \cdot 10^{-134}:\\ \;\;\;\;t_3 - \left(t_4 - x \cdot \left(y \cdot z - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 2.6707705390630453 \cdot 10^{-92}:\\ \;\;\;\;t_6 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{+19}:\\ \;\;\;\;t_2 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;a \leq 1.55 \cdot 10^{+175}:\\ \;\;\;\;t_2 + \left(t_5 + t_1\right)\\ \mathbf{elif}\;a \leq 10^{+230}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 17
Error	20.0
Cost	2660

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := i \cdot \left(y \cdot j\right)\\ t_3 := z \cdot \left(b \cdot c\right)\\ t_4 := a \cdot \left(x \cdot t\right)\\ t_5 := y \cdot \left(x \cdot z\right)\\ t_6 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_7 := t_6 + \left(t_5 - t_3\right)\\ t_8 := i \cdot \left(a \cdot b\right)\\ t_9 := c \cdot \left(t \cdot j\right) + \left(t_5 + \left(t_8 - c \cdot \left(z \cdot b\right)\right)\right)\\ t_10 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_11 := \left(t_1 + t_10\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{if}\;c \leq -10000:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq -7.878475411496435 \cdot 10^{-217}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;c \leq -1.0617444774980166 \cdot 10^{-255}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -4.048106757346316 \cdot 10^{-276}:\\ \;\;\;\;t_6 + \left(t_8 - t_4\right)\\ \mathbf{elif}\;c \leq 3.8673318518517414 \cdot 10^{-290}:\\ \;\;\;\;\left(t_1 - t_3\right) - t_2\\ \mathbf{elif}\;c \leq 1.4509461069524134 \cdot 10^{-201}:\\ \;\;\;\;\left(t_5 + t_10\right) - t_2\\ \mathbf{elif}\;c \leq 2.359453763920446 \cdot 10^{-146}:\\ \;\;\;\;t_6 + \left(a \cdot \left(b \cdot i\right) - t_4\right)\\ \mathbf{elif}\;c \leq 10^{+41}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{+78}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_9\\ \end{array} \]

Alternative 18
Error	19.5
Cost	2660

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := z \cdot \left(b \cdot c\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := c \cdot \left(t \cdot j\right)\\ t_5 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_6 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_7 := t_3 + t_5\\ t_8 := t_6 + t_7\\ t_9 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_10 := \left(t_9 + t_5\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{if}\;y \leq -1.5 \cdot 10^{+59}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq -5.198459500544068 \cdot 10^{-65}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;y \leq -8.557455118216198 \cdot 10^{-83}:\\ \;\;\;\;t_6 - \left(t_1 + t_2\right)\\ \mathbf{elif}\;y \leq -1.316161326434504 \cdot 10^{-162}:\\ \;\;\;\;t_4 - \left(t_2 - t_9\right)\\ \mathbf{elif}\;y \leq -2.661094951968043 \cdot 10^{-230}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;y \leq 2.899619283792488 \cdot 10^{-282}:\\ \;\;\;\;t_6 + \left(i \cdot \left(a \cdot b\right) - t_1\right)\\ \mathbf{elif}\;y \leq 7.609836913294044 \cdot 10^{-84}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;y \leq 6.7 \cdot 10^{+103}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq 1.16 \cdot 10^{+201}:\\ \;\;\;\;t_4 + \left(\left(t_3 - t_1\right) - b \cdot \left(z \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_7 - i \cdot \left(y \cdot j\right)\\ \end{array} \]

Alternative 19
Error	19.8
Cost	2660

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_4 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_5 := t_2 + t_3\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := \left(t_6 + t_3\right) + t \cdot \left(c \cdot j\right)\\ t_8 := t_4 + \left(t_6 - z \cdot \left(b \cdot c\right)\right)\\ t_9 := t_4 + t_5\\ t_10 := a \cdot \left(x \cdot t\right)\\ \mathbf{if}\;y \leq -1.5 \cdot 10^{+59}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq -5.198459500544068 \cdot 10^{-65}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq -1.316161326434504 \cdot 10^{-162}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq -2.661094951968043 \cdot 10^{-230}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 2.3880300568617347 \cdot 10^{-275}:\\ \;\;\;\;t_4 + \left(i \cdot \left(a \cdot b\right) - t_10\right)\\ \mathbf{elif}\;y \leq 9.745121653699706 \cdot 10^{-250}:\\ \;\;\;\;t_1 + \left(t_2 + \left(a \cdot \left(b \cdot i\right) - c \cdot \left(z \cdot b\right)\right)\right)\\ \mathbf{elif}\;y \leq 7.609836913294044 \cdot 10^{-84}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq 6.7 \cdot 10^{+103}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq 1.16 \cdot 10^{+201}:\\ \;\;\;\;t_1 + \left(\left(t_2 - t_10\right) - b \cdot \left(z \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_5 - i \cdot \left(y \cdot j\right)\\ \end{array} \]

Alternative 20
Error	35.1
Cost	2540

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z\right)\\ t_2 := a \cdot \left(x \cdot t\right)\\ t_3 := b \cdot \left(z \cdot c\right)\\ t_4 := y \cdot \left(x \cdot z\right)\\ t_5 := i \cdot \left(a \cdot b\right)\\ t_6 := a \cdot \left(b \cdot i\right)\\ t_7 := t_6 - t_2\\ t_8 := t_7 + t \cdot \left(c \cdot j\right)\\ t_9 := t_7 + j \cdot \left(t \cdot c\right)\\ t_10 := c \cdot \left(t \cdot j\right)\\ t_11 := t_10 + \left(t_1 - t_3\right)\\ \mathbf{if}\;j \leq -1.15 \cdot 10^{+121}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq -1 \cdot 10^{-20}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq -9 \cdot 10^{-45}:\\ \;\;\;\;t_10 + \left(t_1 + t_5\right)\\ \mathbf{elif}\;j \leq -6.424511351964309 \cdot 10^{-158}:\\ \;\;\;\;t_10 - \left(t_2 + t_3\right)\\ \mathbf{elif}\;j \leq -1.8975149649400454 \cdot 10^{-200}:\\ \;\;\;\;t_10 + \left(t_6 + t_4\right)\\ \mathbf{elif}\;j \leq -1.9688474359684163 \cdot 10^{-233}:\\ \;\;\;\;t_10 + \left(t_4 - t_3\right)\\ \mathbf{elif}\;j \leq -1.0057902101428588 \cdot 10^{-271}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 2.2675589469303425 \cdot 10^{-306}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq 5.776855961561846 \cdot 10^{-136}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{+17}:\\ \;\;\;\;t_10 + \left(z \cdot \left(x \cdot y\right) + t_5\right)\\ \mathbf{elif}\;j \leq 2.6 \cdot 10^{+207}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_11\\ \end{array} \]

Alternative 21
Error	17.8
Cost	2528

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := t_2 + \left(t_3 - z \cdot \left(b \cdot c\right)\right)\\ t_5 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_6 := \left(t_3 + t_5\right) + t \cdot \left(c \cdot j\right)\\ t_7 := t_1 + t_5\\ t_8 := t_2 + t_7\\ t_9 := a \cdot \left(x \cdot t\right)\\ \mathbf{if}\;y \leq -1.5 \cdot 10^{+59}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq -5.198459500544068 \cdot 10^{-65}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -1.316161326434504 \cdot 10^{-162}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -5.253595797126066 \cdot 10^{-223}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 1.0380018087800862 \cdot 10^{-185}:\\ \;\;\;\;t_2 + \left(t_5 - t_9\right)\\ \mathbf{elif}\;y \leq 7.609836913294044 \cdot 10^{-84}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 6.7 \cdot 10^{+103}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq 1.16 \cdot 10^{+201}:\\ \;\;\;\;c \cdot \left(t \cdot j\right) + \left(\left(t_1 - t_9\right) - b \cdot \left(z \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_7 - i \cdot \left(y \cdot j\right)\\ \end{array} \]

Alternative 22
Error	18.6
Cost	2524

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_4 := t \cdot \left(c \cdot j\right)\\ t_5 := a \cdot \left(x \cdot t\right)\\ t_6 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_7 := a \cdot \left(b \cdot i\right)\\ t_8 := c \cdot \left(t \cdot j\right) + \left(t_1 + \left(t_7 - c \cdot \left(z \cdot b\right)\right)\right)\\ t_9 := t_6 + \left(t_2 + t_7\right)\\ \mathbf{if}\;j \leq -1 \cdot 10^{+200}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq -19000000:\\ \;\;\;\;t_6 + \left(t_1 + t_3\right)\\ \mathbf{elif}\;j \leq -1.9 \cdot 10^{-54}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq -7.568097736505965 \cdot 10^{-134}:\\ \;\;\;\;t_4 + \left(t_3 - t_5\right)\\ \mathbf{elif}\;j \leq 1.237943657568817 \cdot 10^{-250}:\\ \;\;\;\;\left(t_2 + t_3\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;j \leq 3.573621593814026 \cdot 10^{-143}:\\ \;\;\;\;\left(t_7 - t_5\right) + t_4\\ \mathbf{elif}\;j \leq 4.4 \cdot 10^{-48}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_9\\ \end{array} \]

Alternative 23
Error	18.3
Cost	2524

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_5 := a \cdot \left(x \cdot t\right)\\ t_6 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_7 := a \cdot \left(b \cdot i\right)\\ t_8 := t_1 + \left(t_2 + \left(t_7 - c \cdot \left(z \cdot b\right)\right)\right)\\ t_9 := t_6 + \left(t_3 + t_7\right)\\ \mathbf{if}\;j \leq -1 \cdot 10^{+200}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq -19000000:\\ \;\;\;\;t_6 + \left(t_2 + t_4\right)\\ \mathbf{elif}\;j \leq -1.9 \cdot 10^{-54}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq -7.568097736505965 \cdot 10^{-134}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(t_4 - t_5\right)\\ \mathbf{elif}\;j \leq 1.237943657568817 \cdot 10^{-250}:\\ \;\;\;\;\left(t_3 + t_4\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;j \leq 3.573621593814026 \cdot 10^{-143}:\\ \;\;\;\;\left(t_7 - t_5\right) + \left(t_1 - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 4.4 \cdot 10^{-48}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_9\\ \end{array} \]

Alternative 24
Error	18.3
Cost	2524

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := a \cdot \left(x \cdot t\right)\\ t_5 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_6 := a \cdot \left(b \cdot i\right)\\ t_7 := t_5 + \left(t_3 + t_6\right)\\ t_8 := t_1 + \left(t_2 + \left(t_6 - c \cdot \left(z \cdot b\right)\right)\right)\\ t_9 := b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{if}\;j \leq -1 \cdot 10^{+200}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -19000000:\\ \;\;\;\;t_5 + \left(t_2 + \left(b \cdot \left(a \cdot i\right) - b \cdot \left(z \cdot c\right)\right)\right)\\ \mathbf{elif}\;j \leq -1.9 \cdot 10^{-54}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq -7.568097736505965 \cdot 10^{-134}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(t_9 - t_4\right)\\ \mathbf{elif}\;j \leq 1.237943657568817 \cdot 10^{-250}:\\ \;\;\;\;\left(t_3 + t_9\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;j \leq 3.573621593814026 \cdot 10^{-143}:\\ \;\;\;\;\left(t_6 - t_4\right) + \left(t_1 - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 4.4 \cdot 10^{-48}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 25
Error	18.7
Cost	2524

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := a \cdot \left(b \cdot i\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_5 + b \cdot \left(a \cdot i - z \cdot c\right)\\ t_7 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;j \leq -1 \cdot 10^{+62}:\\ \;\;\;\;t_3 + \left(t_5 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -5 \cdot 10^{-101}:\\ \;\;\;\;t_3 + \left(\left(t_7 - t_1\right) - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;j \leq -9.352681740548866 \cdot 10^{-169}:\\ \;\;\;\;t_6 + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;j \leq -1.8975149649400454 \cdot 10^{-200}:\\ \;\;\;\;t_2 + \left(t_4 + t_7\right)\\ \mathbf{elif}\;j \leq 1.237943657568817 \cdot 10^{-250}:\\ \;\;\;\;t_6 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;j \leq 3.573621593814026 \cdot 10^{-143}:\\ \;\;\;\;\left(t_4 - t_1\right) + \left(t_2 - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 4.4 \cdot 10^{-48}:\\ \;\;\;\;t_2 + \left(t_7 + \left(t_4 - c \cdot \left(z \cdot b\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_3 + \left(t_5 + t_4\right)\\ \end{array} \]

Alternative 26
Error	35.9
Cost	2276

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := x \cdot \left(y \cdot z\right)\\ t_3 := b \cdot \left(z \cdot c\right)\\ t_4 := a \cdot \left(b \cdot i\right)\\ t_5 := \left(t_4 - t_1\right) + t \cdot \left(c \cdot j\right)\\ t_6 := y \cdot \left(x \cdot z\right)\\ t_7 := c \cdot \left(t \cdot j\right)\\ t_8 := t_7 + \left(t_4 + t_6\right)\\ t_9 := t_7 + \left(t_2 - t_3\right)\\ \mathbf{if}\;j \leq -9 \cdot 10^{-45}:\\ \;\;\;\;t_7 + \left(t_2 + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;j \leq -6.424511351964309 \cdot 10^{-158}:\\ \;\;\;\;t_7 - \left(t_1 + t_3\right)\\ \mathbf{elif}\;j \leq -1.8975149649400454 \cdot 10^{-200}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq -1.9688474359684163 \cdot 10^{-233}:\\ \;\;\;\;t_7 + \left(t_6 - t_3\right)\\ \mathbf{elif}\;j \leq -1.0057902101428588 \cdot 10^{-271}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 2.2675589469303425 \cdot 10^{-306}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq 5.776855961561846 \cdot 10^{-136}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 7.8 \cdot 10^{+102}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 2.6 \cdot 10^{+207}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_9\\ \end{array} \]

Alternative 27
Error	27.6
Cost	2276

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := t \cdot \left(c \cdot j\right)\\ t_4 := a \cdot \left(b \cdot i\right)\\ t_5 := t_4 - a \cdot \left(x \cdot t\right)\\ t_6 := t_5 - y \cdot \left(i \cdot j\right)\\ t_7 := t_5 + t_3\\ t_8 := t_3 - \left(z \cdot \left(b \cdot c\right) - x \cdot \left(y \cdot z - t \cdot a\right)\right)\\ \mathbf{if}\;a \leq -2 \cdot 10^{+94}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq -0.0037:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq -9.902913566381784 \cdot 10^{-32}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq -3.831707206266885 \cdot 10^{-51}:\\ \;\;\;\;t_1 + \left(t_2 - b \cdot \left(z \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 7.343938823645256 \cdot 10^{-134}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 2.6707705390630453 \cdot 10^{-92}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{+19}:\\ \;\;\;\;t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;a \leq 1.55 \cdot 10^{+175}:\\ \;\;\;\;t_1 + \left(t_4 + t_2\right)\\ \mathbf{elif}\;a \leq 10^{+230}:\\ \;\;\;\;t_5 - j \cdot \left(y \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 28
Error	33.7
Cost	2012

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := i \cdot \left(a \cdot b\right)\\ t_3 := b \cdot \left(z \cdot c\right)\\ t_4 := c \cdot \left(t \cdot j\right)\\ t_5 := t_4 + \left(t_2 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{if}\;t \leq -3.2 \cdot 10^{+167}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -7 \cdot 10^{+75}:\\ \;\;\;\;t_4 + \left(t_1 - t_3\right)\\ \mathbf{elif}\;t \leq -4.714534978155165 \cdot 10^{-22}:\\ \;\;\;\;t_4 + \left(z \cdot \left(x \cdot y\right) + t_2\right)\\ \mathbf{elif}\;t \leq -1.136572039795873 \cdot 10^{-152}:\\ \;\;\;\;t_4 - \left(a \cdot \left(x \cdot t\right) + t_3\right)\\ \mathbf{elif}\;t \leq 9.492644562088111 \cdot 10^{-304}:\\ \;\;\;\;t_4 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;t \leq 1.0355088386492012 \cdot 10^{-224}:\\ \;\;\;\;t_4 + \left(x \cdot \left(y \cdot z\right) - t_3\right)\\ \mathbf{elif}\;t \leq 3 \cdot 10^{+27}:\\ \;\;\;\;t_4 + \left(a \cdot \left(b \cdot i\right) + t_1\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 29
Error	33.7
Cost	1880

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := t_1 - \left(a \cdot \left(x \cdot t\right) + b \cdot \left(z \cdot c\right)\right)\\ t_3 := t_1 + \left(y \cdot \left(x \cdot z\right) + b \cdot \left(a \cdot i\right)\right)\\ \mathbf{if}\;y \leq -7.2 \cdot 10^{-26}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -6.220246941767298 \cdot 10^{-96}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -2.4368082629496062 \cdot 10^{-228}:\\ \;\;\;\;t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;y \leq -7.108196892809322 \cdot 10^{-278}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 2.630323645940034 \cdot 10^{-271}:\\ \;\;\;\;t_1 + \left(z \cdot \left(x \cdot y\right) + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;y \leq 9.654272679770949 \cdot 10^{-70}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 30
Error	31.1
Cost	1748

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := t_1 - \left(a \cdot \left(x \cdot t\right) + b \cdot \left(z \cdot c\right)\right)\\ t_3 := t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.62 \cdot 10^{+68}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.214314044413175 \cdot 10^{-247}:\\ \;\;\;\;t_1 + \left(x \cdot \left(y \cdot z\right) + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;z \leq -1.025276596057921 \cdot 10^{-287}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 7.658612976444312 \cdot 10^{-150}:\\ \;\;\;\;t_1 + \left(y \cdot \left(x \cdot z\right) + b \cdot \left(a \cdot i\right)\right)\\ \mathbf{elif}\;z \leq 9.888138921401095 \cdot 10^{-78}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 31
Error	30.7
Cost	1748

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := t_1 - \left(a \cdot \left(x \cdot t\right) + b \cdot \left(z \cdot c\right)\right)\\ t_3 := t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := t_1 + \left(a \cdot \left(b \cdot i\right) + y \cdot \left(x \cdot z\right)\right)\\ \mathbf{if}\;z \leq -0.030365822017617495:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.6880454577103629 \cdot 10^{-249}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.025276596057921 \cdot 10^{-287}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 7.658612976444312 \cdot 10^{-150}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 9.888138921401095 \cdot 10^{-78}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 32
Error	33.2
Cost	1616

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t_1 + \left(z \cdot \left(x \cdot y\right) + i \cdot \left(a \cdot b\right)\right)\\ \mathbf{if}\;z \leq -1.62 \cdot 10^{+68}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 7.658612976444312 \cdot 10^{-150}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.7007927372539541 \cdot 10^{-6}:\\ \;\;\;\;t_1 + \left(y \cdot \left(x \cdot z\right) - b \cdot \left(z \cdot c\right)\right)\\ \mathbf{elif}\;z \leq 9.6 \cdot 10^{+111}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 33
Error	30.6
Cost	1616

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := y \cdot \left(x \cdot z\right)\\ t_3 := t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := t_1 + \left(t_2 + b \cdot \left(a \cdot i\right)\right)\\ \mathbf{if}\;z \leq -6.716442602951557 \cdot 10^{-34}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 7.658612976444312 \cdot 10^{-150}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 5.835328142859644 \cdot 10^{-66}:\\ \;\;\;\;t_1 + \left(t_2 - b \cdot \left(z \cdot c\right)\right)\\ \mathbf{elif}\;z \leq 1.0574442757862027 \cdot 10^{-35}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 34
Error	33.7
Cost	1352

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := t_1 + z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -25210262689907.43:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.8873791986937867 \cdot 10^{-90}:\\ \;\;\;\;t_1 + \left(y \cdot \left(x \cdot z\right) - b \cdot \left(z \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 35
Error	36.3
Cost	960

\[c \cdot \left(t \cdot j\right) + z \cdot \left(x \cdot y - b \cdot c\right) \]

Alternative 36
Error	44.3
Cost	704

\[c \cdot \left(t \cdot j\right) - c \cdot \left(z \cdot b\right) \]

Reproduce

herbie shell --seed 2022291 
(FPCore (x y z t a b c i j)
  :name "Linear.Matrix:det33 from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (if (< t -8.120978919195912e-33) (- (* x (- (* z y) (* a t))) (- (* b (- (* z c) (* a i))) (* (- (* c t) (* y i)) j))) (if (< t -4.712553818218485e-169) (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (/ (* j (- (pow (* c t) 2.0) (pow (* i y) 2.0))) (+ (* c t) (* i y)))) (if (< t -7.633533346031584e-308) (- (* x (- (* z y) (* a t))) (- (* b (- (* z c) (* a i))) (* (- (* c t) (* y i)) j))) (if (< t 1.0535888557455487e-139) (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (/ (* j (- (pow (* c t) 2.0) (pow (* i y) 2.0))) (+ (* c t) (* i y)))) (- (* x (- (* z y) (* a t))) (- (* b (- (* z c) (* a i))) (* (- (* c t) (* y i)) j)))))))

  (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))) (* j (- (* c t) (* i y)))))