Linear.Matrix:det33 from linear-1.19.1.3

Average Error: 12.1 → 5.9

Time: 1.4min

Precision: binary64

Cost: 5704

Math

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

↓

\[\begin{array}{l} t_1 := \left(\left(a \cdot \left(t \cdot \left(-x\right)\right) + y \cdot \left(z \cdot x\right)\right) + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right)\\ t_2 := \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_2 \leq 2 \cdot 10^{+302}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

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 (* t (- x))) (* y (* z x))) (* c (* t j)))
          (* c (* z b))))
        (t_2
         (+
          (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a))))
          (* j (- (* c t) (* i y))))))
   (if (<= t_2 (- INFINITY)) t_1 (if (<= t_2 2e+302) t_2 t_1))))

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 * (t * -x)) + (y * (z * x))) + (c * (t * j))) - (c * (z * b));
	double t_2 = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (i * a)))) + (j * ((c * t) - (i * y)));
	double tmp;
	if (t_2 <= -((double) INFINITY)) {
		tmp = t_1;
	} else if (t_2 <= 2e+302) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	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 * (t * -x)) + (y * (z * x))) + (c * (t * j))) - (c * (z * b));
	double t_2 = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (i * a)))) + (j * ((c * t) - (i * y)));
	double tmp;
	if (t_2 <= -Double.POSITIVE_INFINITY) {
		tmp = t_1;
	} else if (t_2 <= 2e+302) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	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 * (t * -x)) + (y * (z * x))) + (c * (t * j))) - (c * (z * b))
	t_2 = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (i * a)))) + (j * ((c * t) - (i * y)))
	tmp = 0
	if t_2 <= -math.inf:
		tmp = t_1
	elif t_2 <= 2e+302:
		tmp = t_2
	else:
		tmp = t_1
	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(Float64(Float64(a * Float64(t * Float64(-x))) + Float64(y * Float64(z * x))) + Float64(c * Float64(t * j))) - Float64(c * Float64(z * b)))
	t_2 = 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))))
	tmp = 0.0
	if (t_2 <= Float64(-Inf))
		tmp = t_1;
	elseif (t_2 <= 2e+302)
		tmp = t_2;
	else
		tmp = t_1;
	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 * (t * -x)) + (y * (z * x))) + (c * (t * j))) - (c * (z * b));
	t_2 = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (i * a)))) + (j * ((c * t) - (i * y)));
	tmp = 0.0;
	if (t_2 <= -Inf)
		tmp = t_1;
	elseif (t_2 <= 2e+302)
		tmp = t_2;
	else
		tmp = t_1;
	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[(N[(N[(a * N[(t * (-x)), $MachinePrecision]), $MachinePrecision] + N[(y * N[(z * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = 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]}, If[LessEqual[t$95$2, (-Infinity)], t$95$1, If[LessEqual[t$95$2, 2e+302], t$95$2, t$95$1]]]]

Target

Original	12.1
Target	15.9
Herbie	5.9

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

Derivation

1. Split input into 2 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 or 2.0000000000000002e302 < (+.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 61.5

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

   2. Simplified 61.5

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

      [Start] 61.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational_best_oopsla_all_46_json_45_simplify-35 [=>] 61.5	\[ \color{blue}{j \cdot \left(c \cdot t - i \cdot y\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right)} \]
      rational_best_oopsla_all_46_json_45_simplify-108 [=>] 61.5	\[ \color{blue}{\left(x \cdot \left(y \cdot z - t \cdot a\right) + j \cdot \left(c \cdot t - i \cdot y\right)\right) - b \cdot \left(c \cdot z - i \cdot a\right)} \]
      rational_best_oopsla_all_46_json_45_simplify-74 [=>] 61.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right)\right) - b \cdot \left(c \cdot z - i \cdot a\right) \]
      rational_best_oopsla_all_46_json_45_simplify-74 [=>] 61.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right)\right) - b \cdot \left(c \cdot z - i \cdot a\right) \]
      rational_best_oopsla_all_46_json_45_simplify-74 [=>] 61.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) + j \cdot \left(t \cdot c - y \cdot i\right)\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right) \]
      rational_best_oopsla_all_46_json_45_simplify-74 [=>] 61.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) + j \cdot \left(t \cdot c - y \cdot i\right)\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right) \]

   3. Taylor expanded in t around inf 50.2

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

   4. Taylor expanded in z around inf 40.0

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

   5. Taylor expanded in y around 0 28.1

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

   6. Simplified 28.1

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

      [Start] 28.1	\[ \left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + y \cdot \left(z \cdot x\right)\right) + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right) \]
      rational_best_oopsla_all_46_json_45_simplify-7 [=>] 28.1	\[ \left(\left(\color{blue}{a \cdot \left(-1 \cdot \left(t \cdot x\right)\right)} + y \cdot \left(z \cdot x\right)\right) + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right) \]
      rational_best_oopsla_all_46_json_45_simplify-7 [=>] 28.1	\[ \left(\left(a \cdot \color{blue}{\left(t \cdot \left(-1 \cdot x\right)\right)} + y \cdot \left(z \cdot x\right)\right) + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right) \]
      rational_best_oopsla_all_46_json_45_simplify-74 [<=] 28.1	\[ \left(\left(a \cdot \left(t \cdot \color{blue}{\left(x \cdot -1\right)}\right) + y \cdot \left(z \cdot x\right)\right) + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right) \]
      rational_best_oopsla_all_46_json_45_simplify-94 [<=] 28.1	\[ \left(\left(a \cdot \left(t \cdot \color{blue}{\left(-x\right)}\right) + y \cdot \left(z \cdot x\right)\right) + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right) \]

   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)))) < 2.0000000000000002e302

   1. Initial program 0.9

      \[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
3. Recombined 2 regimes into one program.

4. Final simplification 5.9

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \leq -\infty:\\ \;\;\;\;\left(\left(a \cdot \left(t \cdot \left(-x\right)\right) + y \cdot \left(z \cdot x\right)\right) + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \leq 2 \cdot 10^{+302}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;\left(\left(a \cdot \left(t \cdot \left(-x\right)\right) + y \cdot \left(z \cdot x\right)\right) + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	18.8
Cost	3512

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := t \cdot \left(c \cdot j\right)\\ t_3 := z \cdot \left(b \cdot c\right)\\ t_4 := c \cdot \left(z \cdot b\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_5 + t_1\\ t_7 := \left(\left(x \cdot \left(y \cdot z\right) - t \cdot \left(x \cdot a\right)\right) + t_2\right) - t_3\\ t_8 := t_6 - t_4\\ t_9 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_10 := \left(y \cdot \left(z \cdot x\right) + t_1\right) - t_9\\ t_11 := t_5 + t_2\\ \mathbf{if}\;c \leq -4.2 \cdot 10^{+39}:\\ \;\;\;\;\left(t_5 + c \cdot \left(t \cdot j\right)\right) - t_4\\ \mathbf{elif}\;c \leq -1.75 \cdot 10^{-68}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;c \leq -8 \cdot 10^{-99}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -7 \cdot 10^{-169}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;c \leq -8.6 \cdot 10^{-197}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -5.4 \cdot 10^{-213}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -1.3 \cdot 10^{-259}:\\ \;\;\;\;t_11 - -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{-265}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) + t_1\right) - t_9\\ \mathbf{elif}\;c \leq -3 \cdot 10^{-308}:\\ \;\;\;\;t_11 - t_9\\ \mathbf{elif}\;c \leq 1.18 \cdot 10^{-240}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;c \leq 4.5 \cdot 10^{-113}:\\ \;\;\;\;t_6 - a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{elif}\;c \leq 2.8 \cdot 10^{-42}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;c \leq 2.7 \cdot 10^{+27}:\\ \;\;\;\;t_6 - t_3\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{+88}:\\ \;\;\;\;\left(t_5 + y \cdot \left(i \cdot \left(-j\right)\right)\right) - t_9\\ \mathbf{else}:\\ \;\;\;\;t_8\\ \end{array} \]

Alternative 2
Error	26.9
Cost	3192

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t \cdot \left(c \cdot j\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_5 := c \cdot \left(z \cdot b\right)\\ t_6 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_7 := y \cdot \left(z \cdot x\right)\\ t_8 := \left(t_7 + t_2\right) - b \cdot \left(z \cdot c - a \cdot i\right)\\ t_9 := \left(t_7 + j \cdot \left(t \cdot c - y \cdot i\right)\right) - t_5\\ t_10 := \left(t_7 + t_4\right) - t_6\\ t_11 := t_1 + t_3\\ t_12 := t_11 - t_5\\ \mathbf{if}\;j \leq -2.2 \cdot 10^{+65}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq -1.35 \cdot 10^{+48}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq -9.2 \cdot 10^{+20}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq -4.7 \cdot 10^{-95}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) + t_4\right) - t_6\\ \mathbf{elif}\;j \leq -8 \cdot 10^{-129}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;j \leq -2.1 \cdot 10^{-172}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) + t_3\right) - \left(a \cdot i\right) \cdot \left(-b\right)\\ \mathbf{elif}\;j \leq -1.2 \cdot 10^{-197}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq -7.5 \cdot 10^{-279}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{-296}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{-117}:\\ \;\;\;\;t_11 - z \cdot \left(b \cdot c\right)\\ \mathbf{elif}\;j \leq 6 \cdot 10^{-76}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;j \leq 2.2 \cdot 10^{+33}:\\ \;\;\;\;\left(t_1 + t_2\right) - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;j \leq 4 \cdot 10^{+48}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;j \leq 1.35 \cdot 10^{+220}:\\ \;\;\;\;t_12\\ \mathbf{else}:\\ \;\;\;\;t_9\\ \end{array} \]

Alternative 3
Error	26.9
Cost	3192

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot b\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := a \cdot \left(t \cdot \left(-x\right)\right) + t_3\\ t_5 := t_2 + t_3\\ t_6 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_7 := y \cdot \left(z \cdot x\right)\\ t_8 := t_5 - t_1\\ t_9 := t \cdot \left(c \cdot j\right)\\ t_10 := z \cdot \left(b \cdot c\right)\\ t_11 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_12 := t_7 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_13 := t_12 - t_1\\ t_14 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_15 := \left(t_7 + t_11\right) - t_14\\ \mathbf{if}\;j \leq -1.55 \cdot 10^{+69}:\\ \;\;\;\;t_12 - t_10\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{+55}:\\ \;\;\;\;t_4 - t_6\\ \mathbf{elif}\;j \leq -8.5 \cdot 10^{+20}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;j \leq -4.3 \cdot 10^{-95}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) + t_11\right) - t_14\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-128}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{-171}:\\ \;\;\;\;t_4 - \left(a \cdot i\right) \cdot \left(-b\right)\\ \mathbf{elif}\;j \leq -1.55 \cdot 10^{-196}:\\ \;\;\;\;\left(t_7 + t_9\right) - t_6\\ \mathbf{elif}\;j \leq -7 \cdot 10^{-279}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 2.2 \cdot 10^{-297}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{-117}:\\ \;\;\;\;t_5 - t_10\\ \mathbf{elif}\;j \leq 10^{-77}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;j \leq 2.2 \cdot 10^{+33}:\\ \;\;\;\;\left(t_2 + t_9\right) - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;j \leq 5.8 \cdot 10^{+49}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;j \leq 1.35 \cdot 10^{+220}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_13\\ \end{array} \]

Alternative 4
Error	26.9
Cost	3192

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := a \cdot \left(t \cdot \left(-x\right)\right) + t_2\\ t_4 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_5 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_6 := y \cdot \left(z \cdot x\right)\\ t_7 := t_3 - t_4\\ t_8 := c \cdot \left(z \cdot b\right)\\ t_9 := \left(t_1 + t_2\right) - t_8\\ t_10 := t \cdot \left(c \cdot j\right)\\ t_11 := t_1 + t_10\\ t_12 := t_6 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_13 := t_12 - t_8\\ t_14 := a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{if}\;j \leq -3.5 \cdot 10^{+68}:\\ \;\;\;\;t_12 - z \cdot \left(b \cdot c\right)\\ \mathbf{elif}\;j \leq -1.4 \cdot 10^{+46}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -1.1 \cdot 10^{+21}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;j \leq -3.2 \cdot 10^{-95}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) + t_5\right) - t_14\\ \mathbf{elif}\;j \leq -4.7 \cdot 10^{-125}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq -1.46 \cdot 10^{-177}:\\ \;\;\;\;t_3 - \left(a \cdot i\right) \cdot \left(-b\right)\\ \mathbf{elif}\;j \leq -6.8 \cdot 10^{-196}:\\ \;\;\;\;\left(t_6 + t_10\right) - t_4\\ \mathbf{elif}\;j \leq -1.9 \cdot 10^{-261}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq 3.1 \cdot 10^{-233}:\\ \;\;\;\;t_11 - t_14\\ \mathbf{elif}\;j \leq 5.4 \cdot 10^{-185}:\\ \;\;\;\;\left(y \cdot x - c \cdot b\right) \cdot z\\ \mathbf{elif}\;j \leq 7 \cdot 10^{-45}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq 3.5 \cdot 10^{+32}:\\ \;\;\;\;t_11 - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;j \leq 10^{+50}:\\ \;\;\;\;\left(t_6 + t_5\right) - t_14\\ \mathbf{elif}\;j \leq 1.35 \cdot 10^{+220}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_13\\ \end{array} \]

Alternative 5
Error	25.0
Cost	3060

\[\begin{array}{l} t_1 := t \cdot \left(c \cdot j\right)\\ t_2 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_3 := y \cdot \left(z \cdot x\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := c \cdot \left(z \cdot b\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := \left(t_5 + y \cdot \left(i \cdot \left(-j\right)\right)\right) - t_2\\ t_7 := c \cdot \left(t \cdot j\right)\\ t_8 := \left(t_5 + t_7\right) - t_4\\ t_9 := \left(a \cdot \left(t \cdot \left(-x\right)\right) + t_7\right) - b \cdot \left(z \cdot c - a \cdot i\right)\\ t_10 := t_5 + t_1\\ t_11 := t_10 - -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\\ \mathbf{if}\;j \leq -6.2 \cdot 10^{-24}:\\ \;\;\;\;t_3 - t_2\\ \mathbf{elif}\;j \leq -1.6 \cdot 10^{-51}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq -1.9 \cdot 10^{-69}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -1.6 \cdot 10^{-122}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq -4.8 \cdot 10^{-187}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;j \leq -6.5 \cdot 10^{-205}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq -2.8 \cdot 10^{-256}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 2 \cdot 10^{-233}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq 4.9 \cdot 10^{-141}:\\ \;\;\;\;t_1 + \left(-z \cdot \left(c \cdot b - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq 5 \cdot 10^{-44}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{+30}:\\ \;\;\;\;t_10 - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;j \leq 1.3 \cdot 10^{+82}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq 1.35 \cdot 10^{+220}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_3 - t_4\\ \end{array} \]

Alternative 6
Error	24.9
Cost	3060

\[\begin{array}{l} t_1 := x \cdot \left(a \cdot \left(-t\right)\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_5 := t \cdot \left(c \cdot j\right)\\ t_6 := t_3 + t_5\\ t_7 := y \cdot \left(z \cdot x\right)\\ t_8 := t_7 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_9 := a \cdot \left(t \cdot \left(-x\right)\right)\\ t_10 := -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\\ t_11 := \left(t_7 + t_10\right) - b \cdot \left(z \cdot c - a \cdot i\right)\\ t_12 := c \cdot \left(t \cdot j\right)\\ t_13 := y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{if}\;j \leq -6.5 \cdot 10^{-24}:\\ \;\;\;\;t_8 - t_4\\ \mathbf{elif}\;j \leq -3.2 \cdot 10^{-51}:\\ \;\;\;\;\left(t_9 + t_12\right) - \left(z \cdot \left(b \cdot c\right) - a \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-69}:\\ \;\;\;\;\left(t_3 + t_13\right) - t_4\\ \mathbf{elif}\;j \leq -3.6 \cdot 10^{-73}:\\ \;\;\;\;\left(t_1 + t_12\right) - t_2\\ \mathbf{elif}\;j \leq -5.2 \cdot 10^{-95}:\\ \;\;\;\;\left(t_1 + t_13\right) - t_4\\ \mathbf{elif}\;j \leq -2.05 \cdot 10^{-258}:\\ \;\;\;\;\left(\left(t_9 + t_7\right) + t_12\right) - t_2\\ \mathbf{elif}\;j \leq 4.5 \cdot 10^{-237}:\\ \;\;\;\;\left(t_3 + t_10\right) - t_4\\ \mathbf{elif}\;j \leq 2.5 \cdot 10^{-181}:\\ \;\;\;\;t_5 + \left(-z \cdot \left(c \cdot b - x \cdot y\right)\right)\\ \mathbf{elif}\;j \leq 1.45 \cdot 10^{-140}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq 1.75 \cdot 10^{-44}:\\ \;\;\;\;t_6 - -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 1.95 \cdot 10^{+33}:\\ \;\;\;\;t_6 - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;j \leq 7 \cdot 10^{+48}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;j \leq 1.35 \cdot 10^{+220}:\\ \;\;\;\;\left(t_3 + t_12\right) - t_2\\ \mathbf{else}:\\ \;\;\;\;t_8 - t_2\\ \end{array} \]

Alternative 7
Error	15.7
Cost	3048

\[\begin{array}{l} t_1 := t \cdot \left(c \cdot j\right)\\ t_2 := a \cdot \left(t \cdot \left(-x\right)\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_5 := \left(\left(t_2 + y \cdot \left(z \cdot x\right)\right) + t_1\right) - t_4\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := \left(t_6 + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\right) - t_4\\ t_8 := t_6 + t_3\\ t_9 := t_8 - a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{if}\;i \leq -1.1 \cdot 10^{+130}:\\ \;\;\;\;t_8 - -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;i \leq -7.6 \cdot 10^{+36}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;i \leq -500:\\ \;\;\;\;\left(t_2 + t_3\right) - t_4\\ \mathbf{elif}\;i \leq -6.2 \cdot 10^{-67}:\\ \;\;\;\;\left(\left(x \cdot \left(y \cdot z\right) - t \cdot \left(x \cdot a\right)\right) + t_1\right) - t_4\\ \mathbf{elif}\;i \leq -8 \cdot 10^{-93}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;i \leq -1.25 \cdot 10^{-242}:\\ \;\;\;\;\left(t_6 + c \cdot \left(t \cdot j\right)\right) - t_4\\ \mathbf{elif}\;i \leq -1.7 \cdot 10^{-271}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 1.32 \cdot 10^{-267}:\\ \;\;\;\;t_8 - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;i \leq 6.5 \cdot 10^{-51}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 4.6 \cdot 10^{+78}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 8
Error	25.3
Cost	2992

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := \left(a \cdot \left(t \cdot \left(-x\right)\right) + t_2\right) - b \cdot \left(z \cdot c - a \cdot i\right)\\ t_4 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_5 := z \cdot \left(b \cdot c\right)\\ t_6 := t_1 - t_5\\ t_7 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_8 := \left(t_7 + t \cdot \left(c \cdot j\right)\right) - b \cdot \left(z \cdot c\right)\\ t_9 := t_1 - t_4\\ \mathbf{if}\;t \leq -3.1 \cdot 10^{+47}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -2.9 \cdot 10^{-9}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -1.2 \cdot 10^{-53}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq -2.5 \cdot 10^{-62}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) + y \cdot \left(i \cdot \left(-j\right)\right)\right) - t_4\\ \mathbf{elif}\;t \leq -8.2 \cdot 10^{-83}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq -7.6 \cdot 10^{-217}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 2.7 \cdot 10^{-232}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq 6 \cdot 10^{-167}:\\ \;\;\;\;\left(t_7 + t_2\right) - t_5\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{-106}:\\ \;\;\;\;t_1 - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;t \leq 8 \cdot 10^{-77}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.22 \cdot 10^{-48}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 8 \cdot 10^{+61}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_8\\ \end{array} \]

Alternative 9
Error	25.2
Cost	2992

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := \left(a \cdot \left(t \cdot \left(-x\right)\right) + t_3\right) - b \cdot \left(z \cdot c - a \cdot i\right)\\ t_5 := z \cdot \left(b \cdot c\right)\\ t_6 := t_1 - t_5\\ t_7 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_8 := \left(t_7 + t \cdot \left(c \cdot j\right)\right) - b \cdot \left(z \cdot c\right)\\ t_9 := t_1 - \left(a \cdot i\right) \cdot \left(-b\right)\\ \mathbf{if}\;t \leq -3.4 \cdot 10^{+43}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -3.4 \cdot 10^{-9}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -4 \cdot 10^{-56}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq -1 \cdot 10^{-61}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) + y \cdot \left(i \cdot \left(-j\right)\right)\right) - t_2\\ \mathbf{elif}\;t \leq -6 \cdot 10^{-82}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -2.15 \cdot 10^{-216}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 4.6 \cdot 10^{-232}:\\ \;\;\;\;t_1 - t_2\\ \mathbf{elif}\;t \leq 3.8 \cdot 10^{-175}:\\ \;\;\;\;\left(t_7 + t_3\right) - t_5\\ \mathbf{elif}\;t \leq 1.05 \cdot 10^{-120}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq 2.05 \cdot 10^{-75}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 2.5 \cdot 10^{-46}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{+62}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_8\\ \end{array} \]

Alternative 10
Error	23.7
Cost	2992

\[\begin{array}{l} t_1 := -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\\ t_2 := t \cdot \left(c \cdot j\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_5 := c \cdot \left(z \cdot b\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := t_6 + t_2\\ t_8 := \left(\left(x \cdot \left(y \cdot z\right) - t \cdot \left(x \cdot a\right)\right) + t_2\right) - z \cdot \left(b \cdot c\right)\\ t_9 := y \cdot \left(z \cdot x\right)\\ t_10 := t_9 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_11 := \left(t_9 + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\right) - t_4\\ t_12 := a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{if}\;c \leq -2.7 \cdot 10^{+29}:\\ \;\;\;\;\left(t_6 + t_3\right) - t_5\\ \mathbf{elif}\;c \leq -2.1 \cdot 10^{-68}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;c \leq -1.6 \cdot 10^{-127}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-189}:\\ \;\;\;\;\left(t_6 + y \cdot \left(i \cdot \left(-j\right)\right)\right) - t_12\\ \mathbf{elif}\;c \leq -4.9 \cdot 10^{-213}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -2.8 \cdot 10^{-308}:\\ \;\;\;\;t_7 - t_12\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-204}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{-89}:\\ \;\;\;\;t_7 - t_1\\ \mathbf{elif}\;c \leq 5.3 \cdot 10^{-39}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;c \leq 10000000000:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq 9 \cdot 10^{+19}:\\ \;\;\;\;t_10 - t_1\\ \mathbf{elif}\;c \leq 2.2 \cdot 10^{+80}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) + t_3\right) - t_4\\ \mathbf{else}:\\ \;\;\;\;t_10 - t_5\\ \end{array} \]

Alternative 11
Error	22.6
Cost	2920

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := t_1 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := t \cdot \left(c \cdot j\right)\\ t_4 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_5 := c \cdot \left(z \cdot b\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := \left(t_6 + t_3\right) - -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\\ t_8 := t_6 + c \cdot \left(t \cdot j\right)\\ t_9 := \left(t_1 + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\right) - t_4\\ t_10 := t_8 - t_4\\ \mathbf{if}\;c \leq -2.5 \cdot 10^{+30}:\\ \;\;\;\;t_8 - t_5\\ \mathbf{elif}\;c \leq -2.2 \cdot 10^{-68}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{-129}:\\ \;\;\;\;\left(\left(x \cdot \left(y \cdot z\right) - t \cdot \left(x \cdot a\right)\right) + t_3\right) - z \cdot \left(b \cdot c\right)\\ \mathbf{elif}\;c \leq -2.9 \cdot 10^{-189}:\\ \;\;\;\;\left(t_6 + y \cdot \left(i \cdot \left(-j\right)\right)\right) - a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{elif}\;c \leq -1.08 \cdot 10^{-277}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 2.7 \cdot 10^{-305}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-204}:\\ \;\;\;\;t_2 - \left(a \cdot i\right) \cdot \left(-b\right)\\ \mathbf{elif}\;c \leq 10^{-84}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 1.1 \cdot 10^{-42}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq 2.35 \cdot 10^{+83}:\\ \;\;\;\;t_10\\ \mathbf{else}:\\ \;\;\;\;t_2 - t_5\\ \end{array} \]

Alternative 12
Error	21.4
Cost	2788

\[\begin{array}{l} t_1 := -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := y \cdot \left(z \cdot x\right)\\ t_4 := \left(t_3 + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\right) - b \cdot \left(z \cdot c - a \cdot i\right)\\ t_5 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_6 := c \cdot \left(z \cdot b\right)\\ t_7 := \left(t_2 + t_5\right) - t_6\\ t_8 := t_2 + t \cdot \left(c \cdot j\right)\\ \mathbf{if}\;c \leq -4.5 \cdot 10^{+30}:\\ \;\;\;\;\left(t_2 + c \cdot \left(t \cdot j\right)\right) - t_6\\ \mathbf{elif}\;c \leq -4.3 \cdot 10^{-57}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -4.6 \cdot 10^{-212}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-308}:\\ \;\;\;\;t_8 - a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{elif}\;c \leq 3.2 \cdot 10^{-202}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 2.8 \cdot 10^{-86}:\\ \;\;\;\;t_8 - t_1\\ \mathbf{elif}\;c \leq 1.28 \cdot 10^{-42}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 58000000000000:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 7 \cdot 10^{+15}:\\ \;\;\;\;\left(t_3 + t_5\right) - t_1\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 13
Error	29.6
Cost	2732

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_4 := \left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - t_3\\ t_5 := x \cdot \left(a \cdot \left(-t\right)\right)\\ t_6 := \left(t_5 + t_2\right) - c \cdot \left(z \cdot b\right)\\ t_7 := \left(y \cdot \left(z \cdot x\right) + t_1\right) - t_3\\ \mathbf{if}\;c \leq -5.1 \cdot 10^{-14}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq -1.55 \cdot 10^{-89}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -3.4 \cdot 10^{-107}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.12 \cdot 10^{-169}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -3.3 \cdot 10^{-238}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -9 \cdot 10^{-298}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-308}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) + t_2\right) - \left(a \cdot i\right) \cdot \left(-b\right)\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-290}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(-z \cdot \left(c \cdot b - x \cdot y\right)\right)\\ \mathbf{elif}\;c \leq 3.05 \cdot 10^{-190}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 8 \cdot 10^{-116}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 9 \cdot 10^{-83}:\\ \;\;\;\;\left(t_5 + t_1\right) - t_3\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 14
Error	23.9
Cost	2596

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_5 := \left(t_1 + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\right) - t_4\\ t_6 := c \cdot \left(z \cdot b\right)\\ t_7 := t_1 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_8 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_9 := t_8 + t \cdot \left(c \cdot j\right)\\ t_10 := \left(t_8 + t_3\right) - t_6\\ \mathbf{if}\;c \leq -2.9 \cdot 10^{+31}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;c \leq -1.66 \cdot 10^{-71}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -4.4 \cdot 10^{-308}:\\ \;\;\;\;t_9 - t_2\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{-203}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 7.8 \cdot 10^{-88}:\\ \;\;\;\;t_9 - -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;c \leq 1.32 \cdot 10^{-39}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 1550000000:\\ \;\;\;\;t_10\\ \mathbf{elif}\;c \leq 1.42 \cdot 10^{+16}:\\ \;\;\;\;t_7 - t_2\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{+79}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) + t_3\right) - t_4\\ \mathbf{else}:\\ \;\;\;\;t_7 - t_6\\ \end{array} \]

Alternative 15
Error	23.8
Cost	2596

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_4 := \left(t_1 + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\right) - t_3\\ t_5 := c \cdot \left(z \cdot b\right)\\ t_6 := t_1 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_7 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_8 := t_7 + t \cdot \left(c \cdot j\right)\\ t_9 := \left(t_7 + t_2\right) - t_5\\ t_10 := -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\\ \mathbf{if}\;c \leq -2.4 \cdot 10^{+33}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq -1.25 \cdot 10^{-70}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -3.8 \cdot 10^{-308}:\\ \;\;\;\;t_8 - a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{elif}\;c \leq 5.6 \cdot 10^{-201}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 5.1 \cdot 10^{-86}:\\ \;\;\;\;t_8 - t_10\\ \mathbf{elif}\;c \leq 8.2 \cdot 10^{-38}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 11000000000:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{+19}:\\ \;\;\;\;t_6 - t_10\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{+76}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) + t_2\right) - t_3\\ \mathbf{else}:\\ \;\;\;\;t_6 - t_5\\ \end{array} \]

Alternative 16
Error	26.7
Cost	2536

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := a \cdot \left(t \cdot \left(-x\right)\right) + t_1\\ t_3 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_4 := c \cdot \left(z \cdot b\right)\\ t_5 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + t_1\right) - t_4\\ t_6 := y \cdot \left(z \cdot x\right)\\ t_7 := \left(t_6 + j \cdot \left(t \cdot c - y \cdot i\right)\right) - t_4\\ t_8 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_9 := \left(t_6 + t_8\right) - t_3\\ \mathbf{if}\;y \leq -0.000175:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq -7.2 \cdot 10^{-80}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -1 \cdot 10^{-193}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq -8.2 \cdot 10^{-305}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 9.5 \cdot 10^{-221}:\\ \;\;\;\;\left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - t_3\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-184}:\\ \;\;\;\;t_2 - z \cdot \left(b \cdot c\right)\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{-151}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) + t_8\right) - t_3\\ \mathbf{elif}\;y \leq 7 \cdot 10^{+28}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{+65}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq 5 \cdot 10^{+99}:\\ \;\;\;\;t_2 - b \cdot \left(z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_9\\ \end{array} \]

Alternative 17
Error	27.2
Cost	2536

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := a \cdot \left(t \cdot \left(-x\right)\right) + t_1\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + t_1\right) - t_3\\ t_5 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_6 := y \cdot \left(z \cdot x\right)\\ t_7 := t_6 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_8 := z \cdot \left(b \cdot c\right)\\ t_9 := t_7 - t_8\\ t_10 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_11 := \left(t_6 + t_10\right) - t_5\\ \mathbf{if}\;y \leq -7.2 \cdot 10^{-8}:\\ \;\;\;\;t_7 - t_3\\ \mathbf{elif}\;y \leq -5.8 \cdot 10^{-88}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.02 \cdot 10^{-193}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq -3.6 \cdot 10^{-304}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 1.05 \cdot 10^{-225}:\\ \;\;\;\;\left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - t_5\\ \mathbf{elif}\;y \leq 3 \cdot 10^{-186}:\\ \;\;\;\;t_2 - t_8\\ \mathbf{elif}\;y \leq 3.1 \cdot 10^{-152}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) + t_10\right) - t_5\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{-16}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq 5.1 \cdot 10^{+66}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;y \leq 9.5 \cdot 10^{+98}:\\ \;\;\;\;t_2 - b \cdot \left(z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_11\\ \end{array} \]

Alternative 18
Error	25.2
Cost	2532

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := t_1 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_4 := \left(x \cdot \left(a \cdot \left(-t\right)\right) + y \cdot \left(i \cdot \left(-j\right)\right)\right) - t_3\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t \cdot \left(c \cdot j\right)\\ t_7 := t_5 + t_6\\ t_8 := c \cdot \left(z \cdot b\right)\\ t_9 := t_2 - t_8\\ \mathbf{if}\;a \leq -6.5 \cdot 10^{+57}:\\ \;\;\;\;t_7 - t_3\\ \mathbf{elif}\;a \leq -9.6 \cdot 10^{-15}:\\ \;\;\;\;\left(t_5 + c \cdot \left(t \cdot j\right)\right) - t_8\\ \mathbf{elif}\;a \leq -1.22 \cdot 10^{-70}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -3.1 \cdot 10^{-105}:\\ \;\;\;\;\left(t_1 + t_6\right) - b \cdot \left(z \cdot c - a \cdot i\right)\\ \mathbf{elif}\;a \leq -1.55 \cdot 10^{-146}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq -2.4 \cdot 10^{-157}:\\ \;\;\;\;\left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - t_3\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-173}:\\ \;\;\;\;t_2 - z \cdot \left(b \cdot c\right)\\ \mathbf{elif}\;a \leq 3.5 \cdot 10^{-133}:\\ \;\;\;\;t_7 - -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 1.42 \cdot 10^{-24}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 19
Error	15.8
Cost	2524

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := a \cdot \left(t \cdot \left(-x\right)\right)\\ t_5 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_6 := \left(t_4 + t_5\right) - t_2\\ t_7 := \left(t_1 + t_5\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;j \leq -2.25 \cdot 10^{+105}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -5.4 \cdot 10^{+68}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -5.3 \cdot 10^{-52}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq 8 \cdot 10^{-206}:\\ \;\;\;\;\left(t_1 + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\right) - t_2\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{-117}:\\ \;\;\;\;\left(t_4 + t_3\right) - \left(z \cdot \left(b \cdot c\right) - a \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;j \leq 3.5 \cdot 10^{-106}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) + y \cdot \left(i \cdot \left(-j\right)\right)\right) - a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{+41}:\\ \;\;\;\;\left(t_1 + t_3\right) - t_2\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 20
Error	29.7
Cost	2472

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_3 := \left(x \cdot \left(a \cdot \left(-t\right)\right) + t_1\right) - c \cdot \left(z \cdot b\right)\\ t_4 := \left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - t_2\\ t_5 := \left(y \cdot \left(z \cdot x\right) + y \cdot \left(i \cdot \left(-j\right)\right)\right) - t_2\\ \mathbf{if}\;c \leq -2.6 \cdot 10^{-14}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.7 \cdot 10^{-85}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -7.4 \cdot 10^{-107}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -9 \cdot 10^{-171}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -1.1 \cdot 10^{-237}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -6.2 \cdot 10^{-297}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -2.8 \cdot 10^{-308}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) + t_1\right) - \left(a \cdot i\right) \cdot \left(-b\right)\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-290}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(-z \cdot \left(c \cdot b - x \cdot y\right)\right)\\ \mathbf{elif}\;c \leq 1.45 \cdot 10^{-188}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 2.35 \cdot 10^{-83}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 21
Error	42.4
Cost	2416

\[\begin{array}{l} t_1 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_2 := -1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - t_1\\ t_3 := t \cdot \left(x \cdot \left(-a\right)\right) - t_1\\ t_4 := \left(y \cdot x - c \cdot b\right) \cdot z\\ t_5 := c \cdot \left(t \cdot j - b \cdot z\right)\\ \mathbf{if}\;x \leq -6.2 \cdot 10^{+35}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -7.4 \cdot 10^{-42}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -8.6 \cdot 10^{-74}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.28 \cdot 10^{-86}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -4.4 \cdot 10^{-122}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -2.35 \cdot 10^{-157}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -7.6 \cdot 10^{-188}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-291}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) - t_1\\ \mathbf{elif}\;x \leq 1.06 \cdot 10^{-110}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 3.3 \cdot 10^{+62}:\\ \;\;\;\;c \cdot \left(t \cdot j\right) + z \cdot \left(y \cdot x\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{+124}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 1.2 \cdot 10^{+189}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 22
Error	26.4
Cost	2400

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_2 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_3 := \left(y \cdot \left(z \cdot x\right) + t_1\right) - t_2\\ t_4 := \left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - t_2\\ t_5 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;c \leq -6.2 \cdot 10^{-14}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-68}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -9 \cdot 10^{-213}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -3.15 \cdot 10^{-239}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -5.4 \cdot 10^{-266}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 5 \cdot 10^{-244}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) + t_1\right) - t_2\\ \mathbf{elif}\;c \leq 1.22 \cdot 10^{-189}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-116}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 23
Error	26.7
Cost	2400

\[\begin{array}{l} t_1 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) + c \cdot \left(t \cdot j\right)\\ t_3 := t_2 - c \cdot \left(z \cdot b\right)\\ t_4 := t_2 - z \cdot \left(b \cdot c\right)\\ t_5 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_6 := \left(y \cdot \left(z \cdot x\right) + t_5\right) - t_1\\ t_7 := \left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - t_1\\ \mathbf{if}\;c \leq -2.65 \cdot 10^{-14}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -4.4 \cdot 10^{-68}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{-210}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -1.1 \cdot 10^{-238}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{-282}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq 2.6 \cdot 10^{-191}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-116}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 3.4 \cdot 10^{-76}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) + t_5\right) - t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 24
Error	15.3
Cost	2392

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := \left(t_2 + t_1\right) - c \cdot \left(z \cdot b\right)\\ t_4 := c \cdot \left(t \cdot j\right)\\ t_5 := y \cdot \left(z \cdot x\right) + t_1\\ t_6 := b \cdot \left(z \cdot c - a \cdot i\right)\\ \mathbf{if}\;j \leq -4.5 \cdot 10^{+178}:\\ \;\;\;\;t_5 - \left(a \cdot i\right) \cdot \left(-b\right)\\ \mathbf{elif}\;j \leq -2.3 \cdot 10^{+69}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -6.1 \cdot 10^{-24}:\\ \;\;\;\;t_5 - t_6\\ \mathbf{elif}\;j \leq -1.35 \cdot 10^{-49}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) + t_4\right) - \left(z \cdot \left(b \cdot c\right) - a \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;j \leq -4.5 \cdot 10^{-69}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 6.7 \cdot 10^{+41}:\\ \;\;\;\;\left(t_2 + t_4\right) - t_6\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 25
Error	15.9
Cost	2392

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_4 := a \cdot \left(t \cdot \left(-x\right)\right)\\ t_5 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_6 := \left(t_4 + t_5\right) - t_3\\ t_7 := \left(t_1 + t_5\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;j \leq -5.4 \cdot 10^{+105}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -2 \cdot 10^{+68}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -5.1 \cdot 10^{-48}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -5.8 \cdot 10^{-103}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{-182}:\\ \;\;\;\;\left(t_4 + t_2\right) - \left(z \cdot \left(b \cdot c\right) - a \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;j \leq 4.7 \cdot 10^{+41}:\\ \;\;\;\;\left(t_1 + t_2\right) - t_3\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 26
Error	25.9
Cost	2136

\[\begin{array}{l} t_1 := y \cdot \left(i \cdot \left(-j\right)\right)\\ t_2 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_3 := \left(y \cdot \left(z \cdot x\right) + t_1\right) - t_2\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := \left(t_4 + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;c \leq -2.7 \cdot 10^{-14}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -5.2 \cdot 10^{-68}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 2.2 \cdot 10^{-282}:\\ \;\;\;\;\left(t_4 + t \cdot \left(c \cdot j\right)\right) - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;c \leq 3.55 \cdot 10^{-189}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 7.2 \cdot 10^{-116}:\\ \;\;\;\;\left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - t_2\\ \mathbf{elif}\;c \leq 1.1 \cdot 10^{-76}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) + t_1\right) - t_2\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 27
Error	18.0
Cost	2128

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := z \cdot \left(b \cdot c\right)\\ t_3 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_4 + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{if}\;a \leq -9 \cdot 10^{-155}:\\ \;\;\;\;\left(t_4 + t_1\right) - t_3\\ \mathbf{elif}\;a \leq 9.8 \cdot 10^{-189}:\\ \;\;\;\;t_5 - t_2\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{-113}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right)\right) - t_3\\ \mathbf{elif}\;a \leq 1.8 \cdot 10^{+92}:\\ \;\;\;\;t_5 - c \cdot \left(z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) + t_1\right) - \left(t_2 - a \cdot \left(b \cdot i\right)\right)\\ \end{array} \]

Alternative 28
Error	34.3
Cost	2080

\[\begin{array}{l} t_1 := t \cdot \left(c \cdot j\right) + \left(-z \cdot \left(c \cdot b - x \cdot y\right)\right)\\ t_2 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_3 := t \cdot \left(x \cdot \left(-a\right)\right) - t_2\\ \mathbf{if}\;c \leq -5 \cdot 10^{+39}:\\ \;\;\;\;x \cdot \left(y \cdot z\right) + c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;c \leq -1.7 \cdot 10^{-266}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -4.1 \cdot 10^{-308}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.18 \cdot 10^{-240}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 3.8 \cdot 10^{-116}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{+15}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 9.4 \cdot 10^{+67}:\\ \;\;\;\;-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - t_2\\ \mathbf{elif}\;c \leq 3.8 \cdot 10^{+127}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(t \cdot j - b \cdot z\right)\\ \end{array} \]

Alternative 29
Error	32.0
Cost	2076

\[\begin{array}{l} t_1 := t \cdot \left(c \cdot j\right) + \left(-z \cdot \left(c \cdot b - x \cdot y\right)\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := \left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - a \cdot \left(i \cdot \left(-b\right)\right)\\ t_4 := c \cdot \left(z \cdot b\right)\\ t_5 := \left(x \cdot \left(a \cdot \left(-t\right)\right) + t_2\right) - t_4\\ \mathbf{if}\;c \leq -5.4 \cdot 10^{+69}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -5.5 \cdot 10^{-87}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) + t_2\right) - t_4\\ \mathbf{elif}\;c \leq -1.55 \cdot 10^{-111}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -4.8 \cdot 10^{-172}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-308}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.02 \cdot 10^{-240}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 3.9 \cdot 10^{-82}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 30
Error	37.9
Cost	2020

\[\begin{array}{l} t_1 := t \cdot \left(x \cdot \left(-a\right)\right) - a \cdot \left(i \cdot \left(-b\right)\right)\\ t_2 := \left(y \cdot x - c \cdot b\right) \cdot z\\ t_3 := c \cdot \left(t \cdot j - b \cdot z\right)\\ \mathbf{if}\;c \leq -1.22 \cdot 10^{+31}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -2.4 \cdot 10^{-88}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -6.9 \cdot 10^{-110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-198}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -6.8 \cdot 10^{-308}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.12 \cdot 10^{-240}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.75 \cdot 10^{-82}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 5.2 \cdot 10^{+14}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.1 \cdot 10^{+29}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 31
Error	31.9
Cost	1880

\[\begin{array}{l} t_1 := t \cdot \left(c \cdot j\right) + \left(-z \cdot \left(c \cdot b - x \cdot y\right)\right)\\ t_2 := \left(y \cdot \left(z \cdot x\right) + c \cdot \left(t \cdot j\right)\right) - c \cdot \left(z \cdot b\right)\\ t_3 := \left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{if}\;c \leq -3 \cdot 10^{-87}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -4.4 \cdot 10^{-308}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.02 \cdot 10^{-240}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 3.3 \cdot 10^{-83}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 1.26 \cdot 10^{+14}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 7.4 \cdot 10^{+64}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 32
Error	29.1
Cost	1876

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := a \cdot \left(t \cdot \left(-x\right)\right) + t_1\\ t_3 := t_2 - a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{if}\;a \leq -1 \cdot 10^{+18}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -1.8 \cdot 10^{-12}:\\ \;\;\;\;\left(y \cdot x - c \cdot b\right) \cdot z\\ \mathbf{elif}\;a \leq -7.5 \cdot 10^{-86}:\\ \;\;\;\;t_2 - \left(a \cdot i\right) \cdot \left(-b\right)\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{-293}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(-z \cdot \left(c \cdot b - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 7.6 \cdot 10^{+36}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) + t_1\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 33
Error	31.6
Cost	1812

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_3 := -1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - t_2\\ \mathbf{if}\;a \leq -1.15 \cdot 10^{+53}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -0.02:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) + t_1\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;a \leq -1.36 \cdot 10^{-70}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right) - t_2\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-82}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(-z \cdot \left(c \cdot b - x \cdot y\right)\right)\\ \mathbf{elif}\;a \leq 3.6 \cdot 10^{+69}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) + t_1\right) - b \cdot \left(z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 34
Error	31.7
Cost	1616

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z\right) + c \cdot \left(t \cdot j - z \cdot b\right)\\ t_2 := \left(a \cdot \left(-x\right) + c \cdot j\right) \cdot t - a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{if}\;c \leq -3.8 \cdot 10^{-91}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 8.2 \cdot 10^{-83}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.8 \cdot 10^{+15}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) + \left(-z \cdot \left(c \cdot b - x \cdot y\right)\right)\\ \mathbf{elif}\;c \leq 4.95 \cdot 10^{+64}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 35
Error	31.4
Cost	1488

\[\begin{array}{l} t_1 := a \cdot \left(i \cdot \left(-b\right)\right)\\ t_2 := x \cdot \left(y \cdot z\right) + c \cdot \left(t \cdot j - z \cdot b\right)\\ t_3 := -1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - t_1\\ \mathbf{if}\;a \leq -1.02 \cdot 10^{+52}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -5 \cdot 10^{-15}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.36 \cdot 10^{-70}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right) - t_1\\ \mathbf{elif}\;a \leq 5.1 \cdot 10^{-21}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 36
Error	39.6
Cost	1164

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j - b \cdot z\right)\\ \mathbf{if}\;c \leq -7.2 \cdot 10^{+36}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{-209}:\\ \;\;\;\;\left(y \cdot x - c \cdot b\right) \cdot z\\ \mathbf{elif}\;c \leq 2.9 \cdot 10^{-82}:\\ \;\;\;\;t \cdot \left(c \cdot j\right) - a \cdot \left(i \cdot \left(-b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 37
Error	49.3
Cost	1108

\[\begin{array}{l} t_1 := c \cdot \left(b \cdot \left(-1 \cdot z\right)\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;c \leq -2.4 \cdot 10^{+151}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -2.7 \cdot 10^{-13}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.9 \cdot 10^{-108}:\\ \;\;\;\;z \cdot \left(y \cdot x\right)\\ \mathbf{elif}\;c \leq 4.7 \cdot 10^{+114}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.65 \cdot 10^{+152}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 38
Error	42.5
Cost	840

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j - b \cdot z\right)\\ \mathbf{if}\;c \leq -1.5 \cdot 10^{-13}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.2 \cdot 10^{-188}:\\ \;\;\;\;z \cdot \left(y \cdot x\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 39
Error	39.9
Cost	840

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j - b \cdot z\right)\\ \mathbf{if}\;c \leq -1.75 \cdot 10^{+36}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.3 \cdot 10^{+122}:\\ \;\;\;\;\left(y \cdot x - c \cdot b\right) \cdot z\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 40
Error	49.4
Cost	780

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;c \leq -3.7 \cdot 10^{+32}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.46 \cdot 10^{-108}:\\ \;\;\;\;z \cdot \left(y \cdot x\right)\\ \mathbf{elif}\;c \leq 1.85 \cdot 10^{+114}:\\ \;\;\;\;b \cdot \left(c \cdot \left(-z\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 41
Error	50.0
Cost	584

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;c \leq -5.2 \cdot 10^{+83}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-188}:\\ \;\;\;\;y \cdot \left(z \cdot x\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 42
Error	49.6
Cost	584

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;c \leq -3.6 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{+122}:\\ \;\;\;\;z \cdot \left(y \cdot x\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 43
Error	53.3
Cost	320

\[c \cdot \left(t \cdot j\right) \]

Reproduce

herbie shell --seed 2023090 
(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)))))