Data.Colour.Matrix:determinant from colour-2.3.3, A

Average Error: 12.1 → 7.5

Time: 1.3min

Precision: binary64

Cost: 5704

Math

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

↓

\[\begin{array}{l} t_1 := j \cdot \left(c \cdot a - y \cdot i\right)\\ t_2 := \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + t_1\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;\left(\left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + y \cdot \left(z \cdot x\right)\right) - c \cdot \left(z \cdot b\right)\right) + t_1\\ \mathbf{elif}\;t_2 \leq 5 \cdot 10^{+302}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot x - c \cdot b\right) \cdot z + c \cdot \left(a \cdot j\right)\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (* j (- (* c a) (* y i))))
        (t_2 (+ (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i)))) t_1)))
   (if (<= t_2 (- INFINITY))
     (+ (- (+ (* -1.0 (* a (* t x))) (* y (* z x))) (* c (* z b))) t_1)
     (if (<= t_2 5e+302) t_2 (+ (* (- (* y x) (* c b)) z) (* c (* a 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) - (t * i)))) + (j * ((c * a) - (y * i)));
}

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = j * ((c * a) - (y * i));
	double t_2 = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + t_1;
	double tmp;
	if (t_2 <= -((double) INFINITY)) {
		tmp = (((-1.0 * (a * (t * x))) + (y * (z * x))) - (c * (z * b))) + t_1;
	} else if (t_2 <= 5e+302) {
		tmp = t_2;
	} else {
		tmp = (((y * x) - (c * b)) * z) + (c * (a * 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) - (t * i)))) + (j * ((c * a) - (y * i)));
}

↓

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 = j * ((c * a) - (y * i));
	double t_2 = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + t_1;
	double tmp;
	if (t_2 <= -Double.POSITIVE_INFINITY) {
		tmp = (((-1.0 * (a * (t * x))) + (y * (z * x))) - (c * (z * b))) + t_1;
	} else if (t_2 <= 5e+302) {
		tmp = t_2;
	} else {
		tmp = (((y * x) - (c * b)) * z) + (c * (a * j));
	}
	return tmp;
}

Python

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

↓

def code(x, y, z, t, a, b, c, i, j):
	t_1 = j * ((c * a) - (y * i))
	t_2 = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + t_1
	tmp = 0
	if t_2 <= -math.inf:
		tmp = (((-1.0 * (a * (t * x))) + (y * (z * x))) - (c * (z * b))) + t_1
	elif t_2 <= 5e+302:
		tmp = t_2
	else:
		tmp = (((y * x) - (c * b)) * z) + (c * (a * 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(t * i)))) + Float64(j * Float64(Float64(c * a) - Float64(y * i))))
end

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(j * Float64(Float64(c * a) - Float64(y * i)))
	t_2 = Float64(Float64(Float64(x * Float64(Float64(y * z) - Float64(t * a))) - Float64(b * Float64(Float64(c * z) - Float64(t * i)))) + t_1)
	tmp = 0.0
	if (t_2 <= Float64(-Inf))
		tmp = Float64(Float64(Float64(Float64(-1.0 * Float64(a * Float64(t * x))) + Float64(y * Float64(z * x))) - Float64(c * Float64(z * b))) + t_1);
	elseif (t_2 <= 5e+302)
		tmp = t_2;
	else
		tmp = Float64(Float64(Float64(Float64(y * x) - Float64(c * b)) * z) + Float64(c * Float64(a * 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) - (t * i)))) + (j * ((c * a) - (y * i)));
end

↓

function tmp_2 = code(x, y, z, t, a, b, c, i, j)
	t_1 = j * ((c * a) - (y * i));
	t_2 = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + t_1;
	tmp = 0.0;
	if (t_2 <= -Inf)
		tmp = (((-1.0 * (a * (t * x))) + (y * (z * x))) - (c * (z * b))) + t_1;
	elseif (t_2 <= 5e+302)
		tmp = t_2;
	else
		tmp = (((y * x) - (c * b)) * z) + (c * (a * 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[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(c * a), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

↓

code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := Block[{t$95$1 = N[(j * N[(N[(c * a), $MachinePrecision] - N[(y * i), $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[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]}, If[LessEqual[t$95$2, (-Infinity)], N[(N[(N[(N[(-1.0 * N[(a * N[(t * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(z * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision], If[LessEqual[t$95$2, 5e+302], t$95$2, N[(N[(N[(N[(y * x), $MachinePrecision] - N[(c * b), $MachinePrecision]), $MachinePrecision] * z), $MachinePrecision] + N[(c * N[(a * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Target

Original	12.1
Target	19.7
Herbie	7.5

\[\begin{array}{l} \mathbf{if}\;x < -1.469694296777705 \cdot 10^{-64}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \frac{b \cdot \left({\left(c \cdot z\right)}^{2} - {\left(t \cdot i\right)}^{2}\right)}{c \cdot z + t \cdot i}\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \mathbf{elif}\;x < 3.2113527362226803 \cdot 10^{-147}:\\ \;\;\;\;\left(b \cdot i - x \cdot a\right) \cdot t - \left(z \cdot \left(c \cdot b\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \frac{b \cdot \left({\left(c \cdot z\right)}^{2} - {\left(t \cdot i\right)}^{2}\right)}{c \cdot z + t \cdot i}\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \end{array} \]

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 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))) < -inf.0

   1. Initial program 64.0

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

   2. Taylor expanded in y around 0 43.8

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

   3. Taylor expanded in c around inf 37.1

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

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

   1. Initial program 0.8

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

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

   1. Initial program 60.0

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

   2. Taylor expanded in c around inf 50.6

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

   3. Taylor expanded in c around inf 51.7

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

   4. Taylor expanded in z around inf 36.4

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

Alternatives

Alternative 1
Error	7.5
Cost	5704

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

Alternative 2
Error	24.0
Cost	3912

\[\begin{array}{l} t_1 := -i \cdot \left(t \cdot b\right)\\ t_2 := b \cdot \left(c \cdot z - t \cdot i\right)\\ t_3 := -i \cdot \left(y \cdot j\right)\\ t_4 := \left(c \cdot j\right) \cdot a\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_5 - t_2\\ t_7 := y \cdot \left(z \cdot x\right)\\ t_8 := \left(t_7 - t_1\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ t_9 := \left(t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_7\right) + t_3\\ t_10 := c \cdot \left(a \cdot j\right)\\ t_11 := t_6 + t_10\\ t_12 := \left(t_5 - c \cdot \left(z \cdot b\right)\right) + t_10\\ \mathbf{if}\;t \leq -1.4 \cdot 10^{+178}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -7.5 \cdot 10^{+127}:\\ \;\;\;\;\left(\left(-a \cdot \left(t \cdot x\right)\right) - t_2\right) + t_4\\ \mathbf{elif}\;t \leq -2.3 \cdot 10^{+22}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq -6 \cdot 10^{-108}:\\ \;\;\;\;t_6 + t_4\\ \mathbf{elif}\;t \leq -2.6 \cdot 10^{-167}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq 1.05 \cdot 10^{-295}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-169}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq 1.22 \cdot 10^{-144}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;t \leq 5.8 \cdot 10^{-124}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq 1.8 \cdot 10^{-114}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;t \leq 2.35 \cdot 10^{-70}:\\ \;\;\;\;\left(t_5 - t_1\right) + \left(-\left(i \cdot j\right) \cdot y\right)\\ \mathbf{elif}\;t \leq 4.1 \cdot 10^{-64}:\\ \;\;\;\;\left(t_5 - b \cdot \left(c \cdot z\right)\right) + \left(c \cdot a\right) \cdot j\\ \mathbf{elif}\;t \leq 1.95 \cdot 10^{-38}:\\ \;\;\;\;\left(t_7 - t_2\right) + t_10\\ \mathbf{elif}\;t \leq 2 \cdot 10^{-32}:\\ \;\;\;\;t_7 + t_3\\ \mathbf{elif}\;t \leq 0.000205:\\ \;\;\;\;\left(t_5 - \left(c \cdot b\right) \cdot z\right) + t_10\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{+24}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq 2.6 \cdot 10^{+68}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;t \leq 1.7 \cdot 10^{+164}:\\ \;\;\;\;t_12\\ \mathbf{else}:\\ \;\;\;\;t_9\\ \end{array} \]

Alternative 3
Error	19.5
Cost	3316

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t_1 - c \cdot \left(z \cdot b\right)\\ t_3 := b \cdot \left(c \cdot z - t \cdot i\right)\\ t_4 := j \cdot \left(c \cdot a - y \cdot i\right)\\ t_5 := t_2 + t_4\\ t_6 := c \cdot \left(a \cdot j\right)\\ t_7 := y \cdot \left(z \cdot x\right)\\ t_8 := \left(t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_7\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ t_9 := \left(t_7 - \left(-i \cdot \left(t \cdot b\right)\right)\right) + t_4\\ t_10 := \left(t_7 - t_3\right) + t_4\\ \mathbf{if}\;t \leq -7 \cdot 10^{+181}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq -7.6 \cdot 10^{+129}:\\ \;\;\;\;\left(\left(-a \cdot \left(t \cdot x\right)\right) - t_3\right) + \left(c \cdot j\right) \cdot a\\ \mathbf{elif}\;t \leq -1.36 \cdot 10^{+59}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -2.9 \cdot 10^{-38}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq -9.6 \cdot 10^{-123}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -2.55 \cdot 10^{-166}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{-296}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 1.5 \cdot 10^{-169}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq 9 \cdot 10^{-146}:\\ \;\;\;\;\left(t_1 - t_3\right) + t_6\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-124}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq 6 \cdot 10^{-102}:\\ \;\;\;\;t_2 + t_6\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{+27}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq 1.85 \cdot 10^{+164}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_8\\ \end{array} \]

Alternative 4
Error	34.7
Cost	3264

\[\begin{array}{l} t_1 := b \cdot \left(c \cdot z\right)\\ t_2 := -i \cdot \left(y \cdot j\right)\\ t_3 := t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_2\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := \left(y \cdot x - c \cdot b\right) \cdot z + t_4\\ t_6 := \left(\left(-a \cdot \left(t \cdot x\right)\right) - t_1\right) + t_4\\ t_7 := y \cdot \left(z \cdot x\right)\\ \mathbf{if}\;a \leq -5.8 \cdot 10^{+160}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{+74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -5.4 \cdot 10^{+34}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq -2.15 \cdot 10^{+15}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -6 \cdot 10^{-12}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -4 \cdot 10^{-87}:\\ \;\;\;\;\left(y \cdot z - a \cdot t\right) \cdot x + t_4\\ \mathbf{elif}\;a \leq -1.08 \cdot 10^{-116}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -7.4 \cdot 10^{-214}:\\ \;\;\;\;\left(t_7 - t_1\right) + t_4\\ \mathbf{elif}\;a \leq -3.1 \cdot 10^{-232}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 6.8 \cdot 10^{-304}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 2.4 \cdot 10^{-249}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + t_2\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{-247}:\\ \;\;\;\;\left(-c \cdot \left(z \cdot b\right)\right) + t_4\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-201}:\\ \;\;\;\;t_7 + t_2\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-163}:\\ \;\;\;\;\left(-\left(a \cdot t\right) \cdot x\right) + t_2\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-129}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-51}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 5
Error	35.4
Cost	3264

\[\begin{array}{l} t_1 := b \cdot \left(c \cdot z\right)\\ t_2 := -i \cdot \left(y \cdot j\right)\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := \left(y \cdot x - c \cdot b\right) \cdot z + t_3\\ t_5 := y \cdot \left(z \cdot x\right)\\ t_6 := t_5 + t_2\\ t_7 := i \cdot \left(t \cdot b\right) + t_2\\ t_8 := -a \cdot \left(t \cdot x\right)\\ t_9 := \left(t_8 - c \cdot \left(z \cdot b\right)\right) + t_3\\ t_10 := t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_2\\ \mathbf{if}\;a \leq -4.6 \cdot 10^{+160}:\\ \;\;\;\;\left(t_8 - t_1\right) + t_3\\ \mathbf{elif}\;a \leq -6.2 \cdot 10^{+74}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;a \leq -6.5 \cdot 10^{+16}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq -1.06 \cdot 10^{-116}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;a \leq -2 \cdot 10^{-214}:\\ \;\;\;\;\left(t_5 - t_1\right) + t_3\\ \mathbf{elif}\;a \leq -1.55 \cdot 10^{-227}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;a \leq -1.62 \cdot 10^{-305}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{-305}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 8.5 \cdot 10^{-300}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{-279}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{-267}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-251}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{-229}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 1.38 \cdot 10^{-163}:\\ \;\;\;\;\left(-\left(a \cdot t\right) \cdot x\right) + t_2\\ \mathbf{elif}\;a \leq 8.5 \cdot 10^{-130}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 1.85 \cdot 10^{-49}:\\ \;\;\;\;t_10\\ \mathbf{else}:\\ \;\;\;\;t_9\\ \end{array} \]

Alternative 6
Error	19.8
Cost	3184

\[\begin{array}{l} t_1 := j \cdot \left(c \cdot a - y \cdot i\right)\\ t_2 := b \cdot \left(c \cdot z - t \cdot i\right)\\ t_3 := \left(-a \cdot \left(t \cdot x\right)\right) - t_2\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_4 - c \cdot \left(z \cdot b\right)\\ t_6 := t_5 + t_1\\ t_7 := c \cdot \left(a \cdot j\right)\\ t_8 := y \cdot \left(z \cdot x\right)\\ t_9 := \left(t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_8\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ t_10 := \left(t_8 - \left(-i \cdot \left(t \cdot b\right)\right)\right) + t_1\\ t_11 := t_3 + t_1\\ \mathbf{if}\;t \leq -3.4 \cdot 10^{+180}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq -1.95 \cdot 10^{+130}:\\ \;\;\;\;t_3 + \left(c \cdot j\right) \cdot a\\ \mathbf{elif}\;t \leq -2.3 \cdot 10^{+22}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq -5 \cdot 10^{-107}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;t \leq -1.9 \cdot 10^{-166}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq 2.36 \cdot 10^{-296}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-169}:\\ \;\;\;\;\left(t_8 - t_2\right) + t_1\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-150}:\\ \;\;\;\;\left(t_4 - t_2\right) + t_7\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-124}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-100}:\\ \;\;\;\;t_5 + t_7\\ \mathbf{elif}\;t \leq 2.65 \cdot 10^{-43}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{+164}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_9\\ \end{array} \]

Alternative 7
Error	17.7
Cost	3184

\[\begin{array}{l} t_1 := b \cdot \left(c \cdot z - t \cdot i\right)\\ t_2 := j \cdot \left(c \cdot a - y \cdot i\right)\\ t_3 := -i \cdot \left(t \cdot b\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_5 - c \cdot \left(z \cdot b\right)\\ t_7 := t_5 - t_1\\ t_8 := y \cdot \left(z \cdot x\right)\\ t_9 := \left(t_8 - t_1\right) + t_2\\ t_10 := t_6 + t_2\\ t_11 := -i \cdot \left(y \cdot j\right)\\ t_12 := t_7 + t_11\\ t_13 := \left(t_8 - t_3\right) + t_2\\ \mathbf{if}\;t \leq -1 \cdot 10^{+93}:\\ \;\;\;\;\left(t_5 - \left(-\left(i \cdot b\right) \cdot t\right)\right) + t_2\\ \mathbf{elif}\;t \leq -4.4 \cdot 10^{+58}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{-72}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq -5 \cdot 10^{-113}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;t \leq -4.5 \cdot 10^{-166}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;t \leq 2.35 \cdot 10^{-296}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-169}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq 2.8 \cdot 10^{-151}:\\ \;\;\;\;t_7 + t_4\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{-124}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;t \leq 5 \cdot 10^{-102}:\\ \;\;\;\;t_6 + t_4\\ \mathbf{elif}\;t \leq 5.8 \cdot 10^{+75}:\\ \;\;\;\;\left(t_5 - t_3\right) + t_2\\ \mathbf{elif}\;t \leq 1.52 \cdot 10^{+165}:\\ \;\;\;\;t_10\\ \mathbf{else}:\\ \;\;\;\;\left(t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_8\right) + t_11\\ \end{array} \]

Alternative 8
Error	17.8
Cost	3184

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := b \cdot \left(c \cdot z - t \cdot i\right)\\ t_3 := -i \cdot \left(y \cdot j\right)\\ t_4 := j \cdot \left(c \cdot a - y \cdot i\right)\\ t_5 := \left(t_1 - \left(-i \cdot \left(t \cdot b\right)\right)\right) + t_4\\ t_6 := \left(t_1 - t_2\right) + t_4\\ t_7 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_8 := t_7 - t_2\\ t_9 := \left(t_7 - \left(-\left(i \cdot b\right) \cdot t\right)\right) + t_4\\ t_10 := t_8 + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\\ t_11 := \left(t_7 - c \cdot \left(z \cdot b\right)\right) + t_4\\ \mathbf{if}\;t \leq -2.1 \cdot 10^{+89}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq -7.2 \cdot 10^{+57}:\\ \;\;\;\;t_8 + t_3\\ \mathbf{elif}\;t \leq -2.8 \cdot 10^{-72}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -3.2 \cdot 10^{-123}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq -6.6 \cdot 10^{-167}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 5.8 \cdot 10^{-296}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;t \leq 1.1 \cdot 10^{-169}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq 2.25 \cdot 10^{-147}:\\ \;\;\;\;t_8 + c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{-124}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 5.4 \cdot 10^{-65}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{+65}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq 3.2 \cdot 10^{+166}:\\ \;\;\;\;t_11\\ \mathbf{else}:\\ \;\;\;\;\left(t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_1\right) + t_3\\ \end{array} \]

Alternative 9
Error	30.7
Cost	3000

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := -i \cdot \left(y \cdot j\right)\\ t_3 := \left(y \cdot \left(z \cdot x\right) - b \cdot \left(c \cdot z\right)\right) + t_1\\ t_4 := t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_2\\ t_5 := \left(y \cdot x - c \cdot b\right) \cdot z + t_1\\ \mathbf{if}\;t \leq -4.7 \cdot 10^{+149}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -1.1 \cdot 10^{+127}:\\ \;\;\;\;\left(y \cdot x\right) \cdot z + t_1\\ \mathbf{elif}\;t \leq -9.8 \cdot 10^{-29}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -3 \cdot 10^{-60}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -7.6 \cdot 10^{-102}:\\ \;\;\;\;\left(-\left(a \cdot t\right) \cdot x\right) + t_2\\ \mathbf{elif}\;t \leq -3.2 \cdot 10^{-227}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 4.2 \cdot 10^{-305}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 3.1 \cdot 10^{-288}:\\ \;\;\;\;-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + t_2\\ \mathbf{elif}\;t \leq 2.15 \cdot 10^{-240}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 5.8 \cdot 10^{-170}:\\ \;\;\;\;\left(y \cdot z\right) \cdot x + t_2\\ \mathbf{elif}\;t \leq 9.9 \cdot 10^{-107}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 6 \cdot 10^{-87}:\\ \;\;\;\;\left(y \cdot z - a \cdot t\right) \cdot x + t_1\\ \mathbf{elif}\;t \leq 9.2 \cdot 10^{-49}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq 1.32:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 10
Error	18.7
Cost	2984

\[\begin{array}{l} t_1 := b \cdot \left(c \cdot z - t \cdot i\right)\\ t_2 := \left(-a \cdot \left(t \cdot x\right)\right) - t_1\\ t_3 := y \cdot \left(z \cdot x\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_3 - t_1\\ t_7 := j \cdot \left(c \cdot a - y \cdot i\right)\\ t_8 := t_2 + t_7\\ t_9 := \left(t_5 - \left(-i \cdot \left(t \cdot b\right)\right)\right) + t_7\\ t_10 := \left(t_5 - c \cdot \left(z \cdot b\right)\right) + t_7\\ \mathbf{if}\;y \leq -3.5 \cdot 10^{+126}:\\ \;\;\;\;\left(t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_3\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;y \leq -9.2 \cdot 10^{+46}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq -6 \cdot 10^{-14}:\\ \;\;\;\;t_6 + t_4\\ \mathbf{elif}\;y \leq -8 \cdot 10^{-126}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq -2.7 \cdot 10^{-201}:\\ \;\;\;\;\left(t_5 - t_1\right) + t_4\\ \mathbf{elif}\;y \leq -1.8 \cdot 10^{-207}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;y \leq -7 \cdot 10^{-270}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;y \leq -3.35 \cdot 10^{-298}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;y \leq 1.22 \cdot 10^{-283}:\\ \;\;\;\;t_2 + t_4\\ \mathbf{elif}\;y \leq 1.25 \cdot 10^{+16}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_6 + t_7\\ \end{array} \]

Alternative 11
Error	26.1
Cost	2728

\[\begin{array}{l} t_1 := -i \cdot \left(y \cdot j\right)\\ t_2 := b \cdot \left(c \cdot z - t \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := y \cdot \left(z \cdot x\right)\\ t_5 := \left(t_3 - \left(-i \cdot \left(t \cdot b\right)\right)\right) + j \cdot \left(c \cdot a\right)\\ t_6 := c \cdot \left(a \cdot j\right)\\ t_7 := \left(t_4 - t_2\right) + t_6\\ t_8 := a \cdot \left(t \cdot x\right)\\ t_9 := \left(\left(-t_8\right) - t_2\right) + \left(c \cdot j\right) \cdot a\\ \mathbf{if}\;y \leq -7.5 \cdot 10^{+101}:\\ \;\;\;\;t_4 + t_1\\ \mathbf{elif}\;y \leq -5.1 \cdot 10^{+73}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -3.8 \cdot 10^{+53}:\\ \;\;\;\;-1 \cdot t_8 + t_1\\ \mathbf{elif}\;y \leq -5.2 \cdot 10^{-9}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq -2.6 \cdot 10^{-111}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq -3.5 \cdot 10^{-131}:\\ \;\;\;\;\left(y \cdot z\right) \cdot x + t_1\\ \mathbf{elif}\;y \leq -1.6 \cdot 10^{-202}:\\ \;\;\;\;\left(t_3 - \left(c \cdot b\right) \cdot z\right) + t_6\\ \mathbf{elif}\;y \leq 1.3 \cdot 10^{-245}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq 245000000:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 2.12 \cdot 10^{+77}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 12
Error	36.4
Cost	2676

\[\begin{array}{l} t_1 := -i \cdot \left(y \cdot j\right)\\ t_2 := i \cdot \left(t \cdot b\right) + t_1\\ t_3 := y \cdot \left(z \cdot x\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := \left(y \cdot x - c \cdot b\right) \cdot z + t_4\\ t_6 := \left(-\left(t \cdot x\right) \cdot a\right) + t_4\\ \mathbf{if}\;z \leq -8.2 \cdot 10^{-123}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{-152}:\\ \;\;\;\;-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + t_1\\ \mathbf{elif}\;z \leq -4.5 \cdot 10^{-156}:\\ \;\;\;\;t_3 + t_4\\ \mathbf{elif}\;z \leq -9 \cdot 10^{-295}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 7.6 \cdot 10^{-299}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-251}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{-227}:\\ \;\;\;\;t_3 + \left(c \cdot j\right) \cdot a\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-186}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-156}:\\ \;\;\;\;\left(-\left(a \cdot t\right) \cdot x\right) + t_1\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{-141}:\\ \;\;\;\;\left(-c \cdot \left(z \cdot b\right)\right) + t_4\\ \mathbf{elif}\;z \leq 2.75 \cdot 10^{+32}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4 \cdot 10^{+66}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 1.32 \cdot 10^{+88}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 13
Error	23.4
Cost	2528

\[\begin{array}{l} t_1 := -i \cdot \left(t \cdot b\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := j \cdot \left(c \cdot a - y \cdot i\right)\\ t_4 := -a \cdot \left(t \cdot x\right)\\ t_5 := y \cdot \left(z \cdot x\right)\\ t_6 := \left(t_5 - t_1\right) + t_3\\ t_7 := x \cdot \left(y \cdot z - t \cdot a\right) - t_1\\ t_8 := t_7 + \left(-i \cdot \left(y \cdot j\right)\right)\\ \mathbf{if}\;j \leq -6.8 \cdot 10^{-73}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -4.1 \cdot 10^{-211}:\\ \;\;\;\;\left(t_5 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + t_2\\ \mathbf{elif}\;j \leq 4.2 \cdot 10^{-192}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 1.26 \cdot 10^{-167}:\\ \;\;\;\;\left(t_4 - b \cdot \left(-t \cdot i\right)\right) + t_2\\ \mathbf{elif}\;j \leq 2.7 \cdot 10^{-77}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 7.2 \cdot 10^{+39}:\\ \;\;\;\;t_7 + j \cdot \left(c \cdot a\right)\\ \mathbf{elif}\;j \leq 1.95 \cdot 10^{+85}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 3.6 \cdot 10^{+161}:\\ \;\;\;\;\left(t_4 - t_1\right) + t_3\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 14
Error	23.4
Cost	2528

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := j \cdot \left(c \cdot a - y \cdot i\right)\\ t_3 := -a \cdot \left(t \cdot x\right)\\ t_4 := -i \cdot \left(t \cdot b\right)\\ t_5 := y \cdot \left(z \cdot x\right)\\ t_6 := \left(t_5 - t_4\right) + t_2\\ t_7 := x \cdot \left(y \cdot z - t \cdot a\right) - t_4\\ t_8 := t_7 + \left(-i \cdot \left(y \cdot j\right)\right)\\ \mathbf{if}\;j \leq -5.6 \cdot 10^{-73}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -5.8 \cdot 10^{-212}:\\ \;\;\;\;\left(t_5 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + t_1\\ \mathbf{elif}\;j \leq 7.2 \cdot 10^{-194}:\\ \;\;\;\;t_7 + \left(-\left(i \cdot j\right) \cdot y\right)\\ \mathbf{elif}\;j \leq 1.26 \cdot 10^{-167}:\\ \;\;\;\;\left(t_3 - b \cdot \left(-t \cdot i\right)\right) + t_1\\ \mathbf{elif}\;j \leq 7 \cdot 10^{-77}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 5.8 \cdot 10^{+40}:\\ \;\;\;\;t_7 + j \cdot \left(c \cdot a\right)\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{+85}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;j \leq 1.75 \cdot 10^{+159}:\\ \;\;\;\;\left(t_3 - t_4\right) + t_2\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 15
Error	42.6
Cost	2484

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := t_1 + \left(c \cdot j\right) \cdot a\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := \left(-\left(t \cdot x\right) \cdot a\right) + t_3\\ t_5 := \left(-c \cdot \left(z \cdot b\right)\right) + t_3\\ t_6 := i \cdot \left(t \cdot b\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ \mathbf{if}\;z \leq -5.1 \cdot 10^{+60}:\\ \;\;\;\;t_1 + \left(c \cdot a\right) \cdot j\\ \mathbf{elif}\;z \leq -1.95 \cdot 10^{-19}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -5.2 \cdot 10^{-103}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.18 \cdot 10^{-296}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 2.8 \cdot 10^{-299}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{-251}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 2.9 \cdot 10^{-227}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 7.2 \cdot 10^{-178}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.06 \cdot 10^{-153}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{-146}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 1.25 \cdot 10^{+32}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{+64}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.9 \cdot 10^{+88}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;\left(-\left(c \cdot b\right) \cdot z\right) + t_3\\ \end{array} \]

Alternative 16
Error	42.8
Cost	2484

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := t_1 + \left(c \cdot j\right) \cdot a\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := \left(-\left(t \cdot x\right) \cdot a\right) + t_3\\ t_5 := \left(-c \cdot \left(z \cdot b\right)\right) + t_3\\ t_6 := -i \cdot \left(y \cdot j\right)\\ t_7 := i \cdot \left(t \cdot b\right) + t_6\\ \mathbf{if}\;z \leq -2.3 \cdot 10^{+59}:\\ \;\;\;\;t_1 + \left(c \cdot a\right) \cdot j\\ \mathbf{elif}\;z \leq -1.65 \cdot 10^{-19}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -2.6 \cdot 10^{-103}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.7 \cdot 10^{-293}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 4.2 \cdot 10^{-299}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{-251}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 2.45 \cdot 10^{-226}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{-188}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 9 \cdot 10^{-154}:\\ \;\;\;\;\left(-\left(a \cdot t\right) \cdot x\right) + t_6\\ \mathbf{elif}\;z \leq 3 \cdot 10^{-149}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{+32}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{+65}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 2.15 \cdot 10^{+90}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;\left(-\left(c \cdot b\right) \cdot z\right) + t_3\\ \end{array} \]

Alternative 17
Error	34.3
Cost	2412

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := -i \cdot \left(y \cdot j\right)\\ t_3 := i \cdot \left(t \cdot b\right) + t_2\\ t_4 := \left(y \cdot x - c \cdot b\right) \cdot z + t_1\\ t_5 := \left(y \cdot z - a \cdot t\right) \cdot x + t_1\\ \mathbf{if}\;z \leq -6.2 \cdot 10^{-19}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -4 \cdot 10^{-114}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -2.7 \cdot 10^{-122}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{-149}:\\ \;\;\;\;-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + t_2\\ \mathbf{elif}\;z \leq -5.1 \cdot 10^{-177}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -4 \cdot 10^{-296}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.65 \cdot 10^{-299}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{-253}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.86 \cdot 10^{-227}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + \left(c \cdot j\right) \cdot a\\ \mathbf{elif}\;z \leq 1.6 \cdot 10^{-178}:\\ \;\;\;\;\left(-\left(t \cdot x\right) \cdot a\right) + t_1\\ \mathbf{elif}\;z \leq 1850000:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 18
Error	34.3
Cost	2412

\[\begin{array}{l} t_1 := -i \cdot \left(y \cdot j\right)\\ t_2 := y \cdot \left(z \cdot x\right)\\ t_3 := i \cdot \left(t \cdot b\right) + t_1\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := \left(t_2 - b \cdot \left(c \cdot z\right)\right) + t_4\\ t_6 := \left(y \cdot x - c \cdot b\right) \cdot z + t_4\\ t_7 := \left(y \cdot z - a \cdot t\right) \cdot x + t_4\\ \mathbf{if}\;z \leq -8.8 \cdot 10^{-20}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -4.6 \cdot 10^{-114}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -3.8 \cdot 10^{-122}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -2.05 \cdot 10^{-151}:\\ \;\;\;\;-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) + t_1\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-164}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -1.25 \cdot 10^{-297}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-294}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 8 \cdot 10^{-254}:\\ \;\;\;\;\left(-\left(a \cdot t\right) \cdot x\right) + t_1\\ \mathbf{elif}\;z \leq 2.05 \cdot 10^{-227}:\\ \;\;\;\;t_2 + \left(c \cdot j\right) \cdot a\\ \mathbf{elif}\;z \leq 2.6 \cdot 10^{-178}:\\ \;\;\;\;\left(-\left(t \cdot x\right) \cdot a\right) + t_4\\ \mathbf{elif}\;z \leq 3500000:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 19
Error	29.0
Cost	2400

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ t_3 := \left(y \cdot x - c \cdot b\right) \cdot z + t_1\\ t_4 := \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z\right)\right) + \left(c \cdot j\right) \cdot a\\ \mathbf{if}\;z \leq -3 \cdot 10^{+14}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.9 \cdot 10^{-178}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.8 \cdot 10^{-211}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 6.2 \cdot 10^{-289}:\\ \;\;\;\;\left(\left(-a \cdot \left(t \cdot x\right)\right) - b \cdot \left(-t \cdot i\right)\right) + t_1\\ \mathbf{elif}\;z \leq 4 \cdot 10^{-239}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.5 \cdot 10^{-205}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.7 \cdot 10^{-155}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4.25 \cdot 10^{-106}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + t_1\\ \mathbf{elif}\;z \leq 9.2 \cdot 10^{+87}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 20
Error	25.2
Cost	2400

\[\begin{array}{l} t_1 := b \cdot \left(c \cdot z - t \cdot i\right)\\ t_2 := \left(-a \cdot \left(t \cdot x\right)\right) - t_1\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := \left(t_4 - c \cdot \left(z \cdot b\right)\right) + t_3\\ t_6 := -i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;c \leq -3.1 \cdot 10^{+92}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq -1100:\\ \;\;\;\;t_2 + t_3\\ \mathbf{elif}\;c \leq -1.4 \cdot 10^{-140}:\\ \;\;\;\;\left(t_4 - b \cdot \left(c \cdot z\right)\right) + \left(c \cdot a\right) \cdot j\\ \mathbf{elif}\;c \leq -1.9 \cdot 10^{-257}:\\ \;\;\;\;t_2 + \left(c \cdot j\right) \cdot a\\ \mathbf{elif}\;c \leq -8 \cdot 10^{-292}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) + t_6\\ \mathbf{elif}\;c \leq -3.5 \cdot 10^{-307}:\\ \;\;\;\;\left(y \cdot z\right) \cdot x + t_6\\ \mathbf{elif}\;c \leq 1.9 \cdot 10^{-190}:\\ \;\;\;\;t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_6\\ \mathbf{elif}\;c \leq 3.7 \cdot 10^{+34}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) - t_1\right) + t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 21
Error	18.8
Cost	2260

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := y \cdot \left(z \cdot x\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := \left(\left(-a \cdot \left(t \cdot x\right)\right) - t_3\right) + c \cdot \left(a \cdot j\right)\\ t_5 := j \cdot \left(c \cdot a - y \cdot i\right)\\ \mathbf{if}\;c \leq -4.6 \cdot 10^{+150}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -9 \cdot 10^{-205}:\\ \;\;\;\;\left(t_1 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + \left(c \cdot j\right) \cdot a\\ \mathbf{elif}\;c \leq 4.3 \cdot 10^{-157}:\\ \;\;\;\;\left(t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_2\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 1.3 \cdot 10^{-78}:\\ \;\;\;\;\left(t_2 - \left(-i \cdot \left(t \cdot b\right)\right)\right) + t_5\\ \mathbf{elif}\;c \leq 5.9 \cdot 10^{+211}:\\ \;\;\;\;\left(t_1 - t_3\right) + t_5\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 22
Error	28.8
Cost	2136

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ t_3 := \left(y \cdot x - c \cdot b\right) \cdot z + t_1\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z\right)\\ \mathbf{if}\;z \leq -68000000000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.02 \cdot 10^{-129}:\\ \;\;\;\;t_4 + t_1\\ \mathbf{elif}\;z \leq -1.02 \cdot 10^{-213}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{-289}:\\ \;\;\;\;\left(\left(-a \cdot \left(t \cdot x\right)\right) - b \cdot \left(-t \cdot i\right)\right) + t_1\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-238}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 4.9 \cdot 10^{-136}:\\ \;\;\;\;t_4 + \left(c \cdot a\right) \cdot j\\ \mathbf{elif}\;z \leq 1.32 \cdot 10^{+88}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 23
Error	29.0
Cost	2136

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ t_3 := \left(y \cdot x - c \cdot b\right) \cdot z + t_1\\ t_4 := \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z\right)\right) + \left(c \cdot j\right) \cdot a\\ \mathbf{if}\;z \leq -4.6 \cdot 10^{+14}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.1 \cdot 10^{-178}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.85 \cdot 10^{-214}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.6 \cdot 10^{-287}:\\ \;\;\;\;\left(\left(-a \cdot \left(t \cdot x\right)\right) - b \cdot \left(-t \cdot i\right)\right) + t_1\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{-238}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{-205}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 9.2 \cdot 10^{+87}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 24
Error	24.3
Cost	2068

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := -i \cdot \left(t \cdot b\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := \left(y \cdot \left(z \cdot x\right) - t_3\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \mathbf{if}\;c \leq -5 \cdot 10^{+53}:\\ \;\;\;\;\left(\left(-a \cdot \left(t \cdot x\right)\right) - t_2\right) + t_4\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-192}:\\ \;\;\;\;\left(t_1 - t_3\right) + j \cdot \left(c \cdot a\right)\\ \mathbf{elif}\;c \leq -4.5 \cdot 10^{-300}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{-276}:\\ \;\;\;\;t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 4.5 \cdot 10^{+110}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;\left(t_1 - t_2\right) + t_4\\ \end{array} \]

Alternative 25
Error	21.1
Cost	2068

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := \left(t_1 - \left(-i \cdot \left(t \cdot b\right)\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \mathbf{if}\;c \leq -4.4 \cdot 10^{+153}:\\ \;\;\;\;\left(\left(-a \cdot \left(t \cdot x\right)\right) - t_3\right) + t_4\\ \mathbf{elif}\;c \leq -4.3 \cdot 10^{-191}:\\ \;\;\;\;\left(t_2 - b \cdot \left(c \cdot z - t \cdot i\right)\right) + t_4\\ \mathbf{elif}\;c \leq -1.1 \cdot 10^{-273}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{-164}:\\ \;\;\;\;\left(t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_1\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 6.2 \cdot 10^{+111}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;\left(t_2 - t_3\right) + t_4\\ \end{array} \]

Alternative 26
Error	24.5
Cost	2004

\[\begin{array}{l} t_1 := b \cdot \left(c \cdot z - t \cdot i\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := \left(t_3 - c \cdot \left(z \cdot b\right)\right) + t_2\\ \mathbf{if}\;c \leq -1.45 \cdot 10^{+91}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;c \leq -3050:\\ \;\;\;\;\left(\left(-a \cdot \left(t \cdot x\right)\right) - t_1\right) + t_2\\ \mathbf{elif}\;c \leq -7.5 \cdot 10^{-254}:\\ \;\;\;\;\left(t_3 - b \cdot \left(c \cdot z\right)\right) + \left(c \cdot j\right) \cdot a\\ \mathbf{elif}\;c \leq 1.85 \cdot 10^{-190}:\\ \;\;\;\;t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 3.2 \cdot 10^{+34}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) - t_1\right) + t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 27
Error	30.3
Cost	1944

\[\begin{array}{l} t_1 := t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := \left(y \cdot x - c \cdot b\right) \cdot z + t_2\\ t_4 := \left(\left(-a \cdot \left(t \cdot x\right)\right) - b \cdot \left(-t \cdot i\right)\right) + t_2\\ \mathbf{if}\;z \leq -7 \cdot 10^{-19}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -7.8 \cdot 10^{-103}:\\ \;\;\;\;\left(y \cdot z - a \cdot t\right) \cdot x + t_2\\ \mathbf{elif}\;z \leq -3.05 \cdot 10^{-120}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-211}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.9 \cdot 10^{-292}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 9.6 \cdot 10^{+87}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 28
Error	22.6
Cost	1936

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := -i \cdot \left(t \cdot b\right)\\ t_4 := y \cdot \left(z \cdot x\right)\\ t_5 := c \cdot \left(a \cdot j\right)\\ \mathbf{if}\;c \leq -1.15 \cdot 10^{+54}:\\ \;\;\;\;\left(\left(-a \cdot \left(t \cdot x\right)\right) - t_2\right) + t_5\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-205}:\\ \;\;\;\;\left(t_1 - t_3\right) + j \cdot \left(c \cdot a\right)\\ \mathbf{elif}\;c \leq 2.8 \cdot 10^{-163}:\\ \;\;\;\;\left(t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + t_4\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 1.05 \cdot 10^{+112}:\\ \;\;\;\;\left(t_4 - t_3\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t_1 - t_2\right) + t_5\\ \end{array} \]

Alternative 29
Error	29.1
Cost	1812

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := t \cdot \left(i \cdot b + -1 \cdot \left(a \cdot x\right)\right) + \left(-i \cdot \left(y \cdot j\right)\right)\\ t_3 := \left(y \cdot x - c \cdot b\right) \cdot z + t_1\\ \mathbf{if}\;z \leq -58000000000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.02 \cdot 10^{-129}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z\right)\right) + t_1\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{-211}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.9 \cdot 10^{-289}:\\ \;\;\;\;\left(\left(-a \cdot \left(t \cdot x\right)\right) - b \cdot \left(-t \cdot i\right)\right) + t_1\\ \mathbf{elif}\;z \leq 9.2 \cdot 10^{+87}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 30
Error	39.6
Cost	1296

\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := y \cdot \left(z \cdot x\right) + \left(c \cdot j\right) \cdot a\\ t_3 := \left(-c \cdot \left(z \cdot b\right)\right) + t_1\\ \mathbf{if}\;c \leq -8 \cdot 10^{+61}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.12 \cdot 10^{-300}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.95 \cdot 10^{-275}:\\ \;\;\;\;\left(-\left(t \cdot x\right) \cdot a\right) + t_1\\ \mathbf{elif}\;c \leq 8 \cdot 10^{-38}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 31
Error	39.6
Cost	1032

\[\begin{array}{l} t_1 := \left(-c \cdot \left(z \cdot b\right)\right) + c \cdot \left(a \cdot j\right)\\ \mathbf{if}\;c \leq -8.5 \cdot 10^{+61}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 8 \cdot 10^{-38}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + \left(c \cdot j\right) \cdot a\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 32
Error	43.9
Cost	836

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right)\\ \mathbf{if}\;c \leq -3.5 \cdot 10^{+87}:\\ \;\;\;\;t_1 + c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(c \cdot a\right) \cdot j\\ \end{array} \]

Alternative 33
Error	44.1
Cost	836

\[\begin{array}{l} \mathbf{if}\;z \leq 10^{-55}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + \left(c \cdot j\right) \cdot a\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot x\right) \cdot z + c \cdot \left(a \cdot j\right)\\ \end{array} \]

Alternative 34
Error	44.5
Cost	704

\[y \cdot \left(z \cdot x\right) + c \cdot \left(a \cdot j\right) \]

Alternative 35
Error	44.4
Cost	704

\[y \cdot \left(z \cdot x\right) + \left(c \cdot j\right) \cdot a \]

Reproduce

herbie shell --seed 2023010 
(FPCore (x y z t a b c i j)
  :name "Data.Colour.Matrix:determinant from colour-2.3.3, A"
  :precision binary64

  :herbie-target
  (if (< x -1.469694296777705e-64) (+ (- (* x (- (* y z) (* t a))) (/ (* b (- (pow (* c z) 2.0) (pow (* t i) 2.0))) (+ (* c z) (* t i)))) (* j (- (* c a) (* y i)))) (if (< x 3.2113527362226803e-147) (- (* (- (* b i) (* x a)) t) (- (* z (* c b)) (* j (- (* c a) (* y i))))) (+ (- (* x (- (* y z) (* t a))) (/ (* b (- (pow (* c z) 2.0) (pow (* t i) 2.0))) (+ (* c z) (* t i)))) (* j (- (* c a) (* y i))))))

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