Linear.Matrix:det33 from linear-1.19.1.3

Average Error: 12.1 → 20.2

Time: 1.9min

Precision: binary64

Cost: 3248

Math

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

↓

\[\begin{array}{l} t_1 := a \cdot \left(t \cdot \left(-x\right)\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t \cdot \left(c \cdot j\right)\\ t_7 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_8 := t_1 - t_7\\ t_9 := t_8 + t_4\\ t_10 := z \cdot \left(y \cdot x\right)\\ t_11 := t_5 - t_3\\ t_12 := t_5 - t_7\\ t_13 := t_12 + t_6\\ t_14 := y \cdot \left(-i \cdot j\right)\\ t_15 := t_12 + t_14\\ \mathbf{if}\;y \leq -1.2 \cdot 10^{+165}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;y \leq -1.5 \cdot 10^{+60}:\\ \;\;\;\;\left(t_10 - t_7\right) + t_4\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{-117}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;y \leq -1.1 \cdot 10^{-172}:\\ \;\;\;\;t_11 + t_4\\ \mathbf{elif}\;y \leq -8.2 \cdot 10^{-201}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;y \leq 2.1 \cdot 10^{-199}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq 5.6 \cdot 10^{-134}:\\ \;\;\;\;t_11 + t_6\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{-30}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{-12}:\\ \;\;\;\;\left(t_5 - i \cdot \left(-b \cdot a\right)\right) + t_2\\ \mathbf{elif}\;y \leq 1.95 \cdot 10^{+118}:\\ \;\;\;\;\left(t_10 - a \cdot \left(b \cdot \left(-i\right)\right)\right) + t_4\\ \mathbf{elif}\;y \leq 4 \cdot 10^{+148}:\\ \;\;\;\;\left(t_1 - t_3\right) + t_6\\ \mathbf{elif}\;y \leq 1.5 \cdot 10^{+194}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{+233}:\\ \;\;\;\;\left(y \cdot x - c \cdot b\right) \cdot z + t_14\\ \mathbf{else}:\\ \;\;\;\;t_8 + t_2\\ \end{array} \]

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))))
        (t_2 (* c (* t j)))
        (t_3 (* c (* z b)))
        (t_4 (* j (- (* t c) (* y i))))
        (t_5 (* x (- (* y z) (* t a))))
        (t_6 (* t (* c j)))
        (t_7 (* b (- (* z c) (* a i))))
        (t_8 (- t_1 t_7))
        (t_9 (+ t_8 t_4))
        (t_10 (* z (* y x)))
        (t_11 (- t_5 t_3))
        (t_12 (- t_5 t_7))
        (t_13 (+ t_12 t_6))
        (t_14 (* y (- (* i j))))
        (t_15 (+ t_12 t_14)))
   (if (<= y -1.2e+165)
     t_15
     (if (<= y -1.5e+60)
       (+ (- t_10 t_7) t_4)
       (if (<= y -3.1e-117)
         t_13
         (if (<= y -1.1e-172)
           (+ t_11 t_4)
           (if (<= y -8.2e-201)
             t_13
             (if (<= y 2.1e-199)
               t_9
               (if (<= y 5.6e-134)
                 (+ t_11 t_6)
                 (if (<= y 2.6e-30)
                   t_9
                   (if (<= y 2.4e-12)
                     (+ (- t_5 (* i (- (* b a)))) t_2)
                     (if (<= y 1.95e+118)
                       (+ (- t_10 (* a (* b (- i)))) t_4)
                       (if (<= y 4e+148)
                         (+ (- t_1 t_3) t_6)
                         (if (<= y 1.5e+194)
                           t_15
                           (if (<= y 5.8e+233)
                             (+ (* (- (* y x) (* c b)) z) t_14)
                             (+ t_8 t_2))))))))))))))))

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);
	double t_2 = c * (t * j);
	double t_3 = c * (z * b);
	double t_4 = j * ((t * c) - (y * i));
	double t_5 = x * ((y * z) - (t * a));
	double t_6 = t * (c * j);
	double t_7 = b * ((z * c) - (a * i));
	double t_8 = t_1 - t_7;
	double t_9 = t_8 + t_4;
	double t_10 = z * (y * x);
	double t_11 = t_5 - t_3;
	double t_12 = t_5 - t_7;
	double t_13 = t_12 + t_6;
	double t_14 = y * -(i * j);
	double t_15 = t_12 + t_14;
	double tmp;
	if (y <= -1.2e+165) {
		tmp = t_15;
	} else if (y <= -1.5e+60) {
		tmp = (t_10 - t_7) + t_4;
	} else if (y <= -3.1e-117) {
		tmp = t_13;
	} else if (y <= -1.1e-172) {
		tmp = t_11 + t_4;
	} else if (y <= -8.2e-201) {
		tmp = t_13;
	} else if (y <= 2.1e-199) {
		tmp = t_9;
	} else if (y <= 5.6e-134) {
		tmp = t_11 + t_6;
	} else if (y <= 2.6e-30) {
		tmp = t_9;
	} else if (y <= 2.4e-12) {
		tmp = (t_5 - (i * -(b * a))) + t_2;
	} else if (y <= 1.95e+118) {
		tmp = (t_10 - (a * (b * -i))) + t_4;
	} else if (y <= 4e+148) {
		tmp = (t_1 - t_3) + t_6;
	} else if (y <= 1.5e+194) {
		tmp = t_15;
	} else if (y <= 5.8e+233) {
		tmp = (((y * x) - (c * b)) * z) + t_14;
	} else {
		tmp = t_8 + t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    code = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (i * a)))) + (j * ((c * t) - (i * y)))
end function

↓

real(8) function code(x, y, z, t, a, b, c, i, j)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = a * (t * -x)
    t_2 = c * (t * j)
    t_3 = c * (z * b)
    t_4 = j * ((t * c) - (y * i))
    t_5 = x * ((y * z) - (t * a))
    t_6 = t * (c * j)
    t_7 = b * ((z * c) - (a * i))
    t_8 = t_1 - t_7
    t_9 = t_8 + t_4
    t_10 = z * (y * x)
    t_11 = t_5 - t_3
    t_12 = t_5 - t_7
    t_13 = t_12 + t_6
    t_14 = y * -(i * j)
    t_15 = t_12 + t_14
    if (y <= (-1.2d+165)) then
        tmp = t_15
    else if (y <= (-1.5d+60)) then
        tmp = (t_10 - t_7) + t_4
    else if (y <= (-3.1d-117)) then
        tmp = t_13
    else if (y <= (-1.1d-172)) then
        tmp = t_11 + t_4
    else if (y <= (-8.2d-201)) then
        tmp = t_13
    else if (y <= 2.1d-199) then
        tmp = t_9
    else if (y <= 5.6d-134) then
        tmp = t_11 + t_6
    else if (y <= 2.6d-30) then
        tmp = t_9
    else if (y <= 2.4d-12) then
        tmp = (t_5 - (i * -(b * a))) + t_2
    else if (y <= 1.95d+118) then
        tmp = (t_10 - (a * (b * -i))) + t_4
    else if (y <= 4d+148) then
        tmp = (t_1 - t_3) + t_6
    else if (y <= 1.5d+194) then
        tmp = t_15
    else if (y <= 5.8d+233) then
        tmp = (((y * x) - (c * b)) * z) + t_14
    else
        tmp = t_8 + t_2
    end if
    code = tmp
end function

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);
	double t_2 = c * (t * j);
	double t_3 = c * (z * b);
	double t_4 = j * ((t * c) - (y * i));
	double t_5 = x * ((y * z) - (t * a));
	double t_6 = t * (c * j);
	double t_7 = b * ((z * c) - (a * i));
	double t_8 = t_1 - t_7;
	double t_9 = t_8 + t_4;
	double t_10 = z * (y * x);
	double t_11 = t_5 - t_3;
	double t_12 = t_5 - t_7;
	double t_13 = t_12 + t_6;
	double t_14 = y * -(i * j);
	double t_15 = t_12 + t_14;
	double tmp;
	if (y <= -1.2e+165) {
		tmp = t_15;
	} else if (y <= -1.5e+60) {
		tmp = (t_10 - t_7) + t_4;
	} else if (y <= -3.1e-117) {
		tmp = t_13;
	} else if (y <= -1.1e-172) {
		tmp = t_11 + t_4;
	} else if (y <= -8.2e-201) {
		tmp = t_13;
	} else if (y <= 2.1e-199) {
		tmp = t_9;
	} else if (y <= 5.6e-134) {
		tmp = t_11 + t_6;
	} else if (y <= 2.6e-30) {
		tmp = t_9;
	} else if (y <= 2.4e-12) {
		tmp = (t_5 - (i * -(b * a))) + t_2;
	} else if (y <= 1.95e+118) {
		tmp = (t_10 - (a * (b * -i))) + t_4;
	} else if (y <= 4e+148) {
		tmp = (t_1 - t_3) + t_6;
	} else if (y <= 1.5e+194) {
		tmp = t_15;
	} else if (y <= 5.8e+233) {
		tmp = (((y * x) - (c * b)) * z) + t_14;
	} else {
		tmp = t_8 + t_2;
	}
	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)
	t_2 = c * (t * j)
	t_3 = c * (z * b)
	t_4 = j * ((t * c) - (y * i))
	t_5 = x * ((y * z) - (t * a))
	t_6 = t * (c * j)
	t_7 = b * ((z * c) - (a * i))
	t_8 = t_1 - t_7
	t_9 = t_8 + t_4
	t_10 = z * (y * x)
	t_11 = t_5 - t_3
	t_12 = t_5 - t_7
	t_13 = t_12 + t_6
	t_14 = y * -(i * j)
	t_15 = t_12 + t_14
	tmp = 0
	if y <= -1.2e+165:
		tmp = t_15
	elif y <= -1.5e+60:
		tmp = (t_10 - t_7) + t_4
	elif y <= -3.1e-117:
		tmp = t_13
	elif y <= -1.1e-172:
		tmp = t_11 + t_4
	elif y <= -8.2e-201:
		tmp = t_13
	elif y <= 2.1e-199:
		tmp = t_9
	elif y <= 5.6e-134:
		tmp = t_11 + t_6
	elif y <= 2.6e-30:
		tmp = t_9
	elif y <= 2.4e-12:
		tmp = (t_5 - (i * -(b * a))) + t_2
	elif y <= 1.95e+118:
		tmp = (t_10 - (a * (b * -i))) + t_4
	elif y <= 4e+148:
		tmp = (t_1 - t_3) + t_6
	elif y <= 1.5e+194:
		tmp = t_15
	elif y <= 5.8e+233:
		tmp = (((y * x) - (c * b)) * z) + t_14
	else:
		tmp = t_8 + t_2
	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(a * Float64(t * Float64(-x)))
	t_2 = Float64(c * Float64(t * j))
	t_3 = Float64(c * Float64(z * b))
	t_4 = Float64(j * Float64(Float64(t * c) - Float64(y * i)))
	t_5 = Float64(x * Float64(Float64(y * z) - Float64(t * a)))
	t_6 = Float64(t * Float64(c * j))
	t_7 = Float64(b * Float64(Float64(z * c) - Float64(a * i)))
	t_8 = Float64(t_1 - t_7)
	t_9 = Float64(t_8 + t_4)
	t_10 = Float64(z * Float64(y * x))
	t_11 = Float64(t_5 - t_3)
	t_12 = Float64(t_5 - t_7)
	t_13 = Float64(t_12 + t_6)
	t_14 = Float64(y * Float64(-Float64(i * j)))
	t_15 = Float64(t_12 + t_14)
	tmp = 0.0
	if (y <= -1.2e+165)
		tmp = t_15;
	elseif (y <= -1.5e+60)
		tmp = Float64(Float64(t_10 - t_7) + t_4);
	elseif (y <= -3.1e-117)
		tmp = t_13;
	elseif (y <= -1.1e-172)
		tmp = Float64(t_11 + t_4);
	elseif (y <= -8.2e-201)
		tmp = t_13;
	elseif (y <= 2.1e-199)
		tmp = t_9;
	elseif (y <= 5.6e-134)
		tmp = Float64(t_11 + t_6);
	elseif (y <= 2.6e-30)
		tmp = t_9;
	elseif (y <= 2.4e-12)
		tmp = Float64(Float64(t_5 - Float64(i * Float64(-Float64(b * a)))) + t_2);
	elseif (y <= 1.95e+118)
		tmp = Float64(Float64(t_10 - Float64(a * Float64(b * Float64(-i)))) + t_4);
	elseif (y <= 4e+148)
		tmp = Float64(Float64(t_1 - t_3) + t_6);
	elseif (y <= 1.5e+194)
		tmp = t_15;
	elseif (y <= 5.8e+233)
		tmp = Float64(Float64(Float64(Float64(y * x) - Float64(c * b)) * z) + t_14);
	else
		tmp = Float64(t_8 + t_2);
	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);
	t_2 = c * (t * j);
	t_3 = c * (z * b);
	t_4 = j * ((t * c) - (y * i));
	t_5 = x * ((y * z) - (t * a));
	t_6 = t * (c * j);
	t_7 = b * ((z * c) - (a * i));
	t_8 = t_1 - t_7;
	t_9 = t_8 + t_4;
	t_10 = z * (y * x);
	t_11 = t_5 - t_3;
	t_12 = t_5 - t_7;
	t_13 = t_12 + t_6;
	t_14 = y * -(i * j);
	t_15 = t_12 + t_14;
	tmp = 0.0;
	if (y <= -1.2e+165)
		tmp = t_15;
	elseif (y <= -1.5e+60)
		tmp = (t_10 - t_7) + t_4;
	elseif (y <= -3.1e-117)
		tmp = t_13;
	elseif (y <= -1.1e-172)
		tmp = t_11 + t_4;
	elseif (y <= -8.2e-201)
		tmp = t_13;
	elseif (y <= 2.1e-199)
		tmp = t_9;
	elseif (y <= 5.6e-134)
		tmp = t_11 + t_6;
	elseif (y <= 2.6e-30)
		tmp = t_9;
	elseif (y <= 2.4e-12)
		tmp = (t_5 - (i * -(b * a))) + t_2;
	elseif (y <= 1.95e+118)
		tmp = (t_10 - (a * (b * -i))) + t_4;
	elseif (y <= 4e+148)
		tmp = (t_1 - t_3) + t_6;
	elseif (y <= 1.5e+194)
		tmp = t_15;
	elseif (y <= 5.8e+233)
		tmp = (((y * x) - (c * b)) * z) + t_14;
	else
		tmp = t_8 + t_2;
	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[(a * N[(t * (-x)), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(t * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(c * N[(z * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(j * N[(N[(t * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(t * N[(c * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(b * N[(N[(z * c), $MachinePrecision] - N[(a * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$1 - t$95$7), $MachinePrecision]}, Block[{t$95$9 = N[(t$95$8 + t$95$4), $MachinePrecision]}, Block[{t$95$10 = N[(z * N[(y * x), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$5 - t$95$3), $MachinePrecision]}, Block[{t$95$12 = N[(t$95$5 - t$95$7), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$12 + t$95$6), $MachinePrecision]}, Block[{t$95$14 = N[(y * (-N[(i * j), $MachinePrecision])), $MachinePrecision]}, Block[{t$95$15 = N[(t$95$12 + t$95$14), $MachinePrecision]}, If[LessEqual[y, -1.2e+165], t$95$15, If[LessEqual[y, -1.5e+60], N[(N[(t$95$10 - t$95$7), $MachinePrecision] + t$95$4), $MachinePrecision], If[LessEqual[y, -3.1e-117], t$95$13, If[LessEqual[y, -1.1e-172], N[(t$95$11 + t$95$4), $MachinePrecision], If[LessEqual[y, -8.2e-201], t$95$13, If[LessEqual[y, 2.1e-199], t$95$9, If[LessEqual[y, 5.6e-134], N[(t$95$11 + t$95$6), $MachinePrecision], If[LessEqual[y, 2.6e-30], t$95$9, If[LessEqual[y, 2.4e-12], N[(N[(t$95$5 - N[(i * (-N[(b * a), $MachinePrecision])), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision], If[LessEqual[y, 1.95e+118], N[(N[(t$95$10 - N[(a * N[(b * (-i)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$4), $MachinePrecision], If[LessEqual[y, 4e+148], N[(N[(t$95$1 - t$95$3), $MachinePrecision] + t$95$6), $MachinePrecision], If[LessEqual[y, 1.5e+194], t$95$15, If[LessEqual[y, 5.8e+233], N[(N[(N[(N[(y * x), $MachinePrecision] - N[(c * b), $MachinePrecision]), $MachinePrecision] * z), $MachinePrecision] + t$95$14), $MachinePrecision], N[(t$95$8 + t$95$2), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Target

Original	12.1
Target	15.8
Herbie	20.2

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

Derivation

1. Split input into 11 regimes

2. if y < -1.2e165 or 4.0000000000000002e148 < y < 1.5000000000000002e194

   1. Initial program 21.5

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

   2. Simplified 21.5

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

      [Start] 21.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 21.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 21.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 21.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 21.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in t around 0 25.3

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

   4. Simplified 18.2

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

      [Start] 25.3	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right) \]
      rational.json-simplify-2 [=>] 25.3	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + -1 \cdot \left(i \cdot \color{blue}{\left(j \cdot y\right)}\right) \]
      rational.json-simplify-43 [<=] 18.2	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + -1 \cdot \color{blue}{\left(y \cdot \left(i \cdot j\right)\right)} \]
      rational.json-simplify-43 [=>] 18.2	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + \color{blue}{y \cdot \left(\left(i \cdot j\right) \cdot -1\right)} \]
      rational.json-simplify-9 [=>] 18.2	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + y \cdot \color{blue}{\left(-i \cdot j\right)} \]

   if -1.2e165 < y < -1.4999999999999999e60

   1. Initial program 16.5

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

   2. Simplified 16.5

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

      [Start] 16.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 16.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 16.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 16.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 16.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in y around inf 17.7

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

   4. Simplified 20.7

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

      [Start] 17.7	\[ \left(y \cdot \left(z \cdot x\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-43 [=>] 20.7	\[ \left(\color{blue}{z \cdot \left(x \cdot y\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-2 [=>] 20.7	\[ \left(z \cdot \color{blue}{\left(y \cdot x\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]

   if -1.4999999999999999e60 < y < -3.10000000000000011e-117 or -1.10000000000000004e-172 < y < -8.20000000000000003e-201

   1. Initial program 9.0

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

   2. Simplified 9.0

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

      [Start] 9.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in t around inf 17.4

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

   4. Simplified 17.2

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

      [Start] 17.4	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + c \cdot \left(t \cdot j\right) \]
      rational.json-simplify-43 [=>] 17.2	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + \color{blue}{t \cdot \left(j \cdot c\right)} \]
      rational.json-simplify-2 [=>] 17.2	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + t \cdot \color{blue}{\left(c \cdot j\right)} \]

   if -3.10000000000000011e-117 < y < -1.10000000000000004e-172

   1. Initial program 9.0

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

   2. Simplified 9.0

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

      [Start] 9.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.0	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in z around inf 18.6

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

   if -8.20000000000000003e-201 < y < 2.10000000000000002e-199 or 5.5999999999999997e-134 < y < 2.59999999999999987e-30

   1. Initial program 9.5

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

   2. Simplified 9.5

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

      [Start] 9.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in y around 0 15.3

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

   4. Simplified 15.3

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

      [Start] 15.3	\[ \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-43 [=>] 15.3	\[ \left(\color{blue}{a \cdot \left(\left(t \cdot x\right) \cdot -1\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-2 [=>] 15.3	\[ \left(a \cdot \color{blue}{\left(-1 \cdot \left(t \cdot x\right)\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-43 [=>] 15.3	\[ \left(a \cdot \color{blue}{\left(t \cdot \left(x \cdot -1\right)\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-9 [=>] 15.3	\[ \left(a \cdot \left(t \cdot \color{blue}{\left(-x\right)}\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]

   if 2.10000000000000002e-199 < y < 5.5999999999999997e-134

   1. Initial program 9.8

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

   2. Simplified 9.8

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

      [Start] 9.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 9.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in z around inf 20.0

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

   4. Taylor expanded in t around inf 25.1

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

   5. Simplified 24.2

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

      [Start] 25.1	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right) + c \cdot \left(t \cdot j\right) \]
      rational.json-simplify-43 [=>] 24.2	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right) + \color{blue}{t \cdot \left(j \cdot c\right)} \]
      rational.json-simplify-2 [=>] 24.2	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right) + t \cdot \color{blue}{\left(c \cdot j\right)} \]

   if 2.59999999999999987e-30 < y < 2.39999999999999987e-12

   1. Initial program 7.5

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

   2. Simplified 7.5

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

      [Start] 7.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 7.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 7.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 7.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 7.5	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in t around inf 19.6

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

   4. Taylor expanded in z around 0 27.8

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

   5. Simplified 27.8

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

      [Start] 27.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\right) + c \cdot \left(t \cdot j\right) \]
      rational.json-simplify-43 [=>] 27.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - \color{blue}{i \cdot \left(\left(a \cdot b\right) \cdot -1\right)}\right) + c \cdot \left(t \cdot j\right) \]
      rational.json-simplify-9 [=>] 27.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - i \cdot \color{blue}{\left(-a \cdot b\right)}\right) + c \cdot \left(t \cdot j\right) \]
      rational.json-simplify-2 [=>] 27.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - i \cdot \left(-\color{blue}{b \cdot a}\right)\right) + c \cdot \left(t \cdot j\right) \]

   if 2.39999999999999987e-12 < y < 1.95e118

   1. Initial program 11.9

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

   2. Simplified 11.9

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

      [Start] 11.9	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 11.9	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 11.9	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 11.9	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 11.9	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in y around inf 17.3

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

   4. Simplified 18.7

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

      [Start] 17.3	\[ \left(y \cdot \left(z \cdot x\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-43 [=>] 18.7	\[ \left(\color{blue}{z \cdot \left(x \cdot y\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-2 [=>] 18.7	\[ \left(z \cdot \color{blue}{\left(y \cdot x\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]

   5. Taylor expanded in z around 0 25.6

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

   6. Simplified 25.3

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

      [Start] 25.6	\[ \left(z \cdot \left(y \cdot x\right) - -1 \cdot \left(i \cdot \left(a \cdot b\right)\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-2 [=>] 25.6	\[ \left(z \cdot \left(y \cdot x\right) - -1 \cdot \left(i \cdot \color{blue}{\left(b \cdot a\right)}\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-43 [<=] 25.3	\[ \left(z \cdot \left(y \cdot x\right) - -1 \cdot \color{blue}{\left(a \cdot \left(i \cdot b\right)\right)}\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-2 [=>] 25.3	\[ \left(z \cdot \left(y \cdot x\right) - -1 \cdot \color{blue}{\left(\left(i \cdot b\right) \cdot a\right)}\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-43 [<=] 25.3	\[ \left(z \cdot \left(y \cdot x\right) - \color{blue}{a \cdot \left(-1 \cdot \left(i \cdot b\right)\right)}\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-2 [=>] 25.3	\[ \left(z \cdot \left(y \cdot x\right) - a \cdot \left(-1 \cdot \color{blue}{\left(b \cdot i\right)}\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-43 [=>] 25.3	\[ \left(z \cdot \left(y \cdot x\right) - a \cdot \color{blue}{\left(b \cdot \left(i \cdot -1\right)\right)}\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-9 [=>] 25.3	\[ \left(z \cdot \left(y \cdot x\right) - a \cdot \left(b \cdot \color{blue}{\left(-i\right)}\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]

   if 1.95e118 < y < 4.0000000000000002e148

   1. Initial program 16.7

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

   2. Simplified 16.7

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

      [Start] 16.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 16.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 16.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 16.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 16.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in z around inf 21.6

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

   4. Taylor expanded in t around inf 32.3

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

   5. Simplified 32.4

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

      [Start] 32.3	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right) + c \cdot \left(t \cdot j\right) \]
      rational.json-simplify-43 [=>] 32.4	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right) + \color{blue}{t \cdot \left(j \cdot c\right)} \]
      rational.json-simplify-2 [=>] 32.4	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right) + t \cdot \color{blue}{\left(c \cdot j\right)} \]

   6. Taylor expanded in y around 0 43.5

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

   7. Simplified 43.5

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

      [Start] 43.5	\[ \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - c \cdot \left(z \cdot b\right)\right) + t \cdot \left(c \cdot j\right) \]
      rational.json-simplify-43 [=>] 43.5	\[ \left(\color{blue}{a \cdot \left(\left(t \cdot x\right) \cdot -1\right)} - c \cdot \left(z \cdot b\right)\right) + t \cdot \left(c \cdot j\right) \]
      rational.json-simplify-2 [=>] 43.5	\[ \left(a \cdot \color{blue}{\left(-1 \cdot \left(t \cdot x\right)\right)} - c \cdot \left(z \cdot b\right)\right) + t \cdot \left(c \cdot j\right) \]
      rational.json-simplify-43 [=>] 43.5	\[ \left(a \cdot \color{blue}{\left(t \cdot \left(x \cdot -1\right)\right)} - c \cdot \left(z \cdot b\right)\right) + t \cdot \left(c \cdot j\right) \]
      rational.json-simplify-9 [=>] 43.5	\[ \left(a \cdot \left(t \cdot \color{blue}{\left(-x\right)}\right) - c \cdot \left(z \cdot b\right)\right) + t \cdot \left(c \cdot j\right) \]

   if 1.5000000000000002e194 < y < 5.80000000000000024e233

   1. Initial program 18.7

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

   2. Simplified 18.7

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

      [Start] 18.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 18.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 18.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 18.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 18.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in y around inf 14.8

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

   4. Simplified 25.0

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

      [Start] 14.8	\[ \left(y \cdot \left(z \cdot x\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-43 [=>] 25.0	\[ \left(\color{blue}{z \cdot \left(x \cdot y\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]
      rational.json-simplify-2 [=>] 25.0	\[ \left(z \cdot \color{blue}{\left(y \cdot x\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right) \]

   5. Taylor expanded in t around 0 29.6

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

   6. Simplified 23.1

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

      [Start] 29.6	\[ \left(z \cdot \left(y \cdot x\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + -1 \cdot \left(i \cdot \left(y \cdot j\right)\right) \]
      rational.json-simplify-2 [=>] 29.6	\[ \left(z \cdot \left(y \cdot x\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + -1 \cdot \left(i \cdot \color{blue}{\left(j \cdot y\right)}\right) \]
      rational.json-simplify-43 [<=] 23.1	\[ \left(z \cdot \left(y \cdot x\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + -1 \cdot \color{blue}{\left(y \cdot \left(i \cdot j\right)\right)} \]
      rational.json-simplify-43 [=>] 23.1	\[ \left(z \cdot \left(y \cdot x\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + \color{blue}{y \cdot \left(\left(i \cdot j\right) \cdot -1\right)} \]
      rational.json-simplify-9 [=>] 23.1	\[ \left(z \cdot \left(y \cdot x\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + y \cdot \color{blue}{\left(-i \cdot j\right)} \]

   7. Taylor expanded in z around inf 28.7

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

   if 5.80000000000000024e233 < y

   1. Initial program 25.7

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

   2. Simplified 25.7

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

      [Start] 25.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 25.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(\color{blue}{z \cdot c} - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 25.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - \color{blue}{a \cdot i}\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 25.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(\color{blue}{t \cdot c} - i \cdot y\right) \]
      rational.json-simplify-2 [=>] 25.7	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - \color{blue}{y \cdot i}\right) \]

   3. Taylor expanded in t around inf 34.4

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

   4. Taylor expanded in y around 0 47.9

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

   5. Simplified 47.9

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

      [Start] 47.9	\[ \left(-1 \cdot \left(a \cdot \left(t \cdot x\right)\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + c \cdot \left(t \cdot j\right) \]
      rational.json-simplify-43 [=>] 47.9	\[ \left(\color{blue}{a \cdot \left(\left(t \cdot x\right) \cdot -1\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + c \cdot \left(t \cdot j\right) \]
      rational.json-simplify-2 [=>] 47.9	\[ \left(a \cdot \color{blue}{\left(-1 \cdot \left(t \cdot x\right)\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + c \cdot \left(t \cdot j\right) \]
      rational.json-simplify-43 [=>] 47.9	\[ \left(a \cdot \color{blue}{\left(t \cdot \left(x \cdot -1\right)\right)} - b \cdot \left(z \cdot c - a \cdot i\right)\right) + c \cdot \left(t \cdot j\right) \]
      rational.json-simplify-9 [=>] 47.9	\[ \left(a \cdot \left(t \cdot \color{blue}{\left(-x\right)}\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + c \cdot \left(t \cdot j\right) \]

3. Recombined 11 regimes into one program.

4. Final simplification 20.2

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.2 \cdot 10^{+165}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;y \leq -1.5 \cdot 10^{+60}:\\ \;\;\;\;\left(z \cdot \left(y \cdot x\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{-117}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq -1.1 \cdot 10^{-172}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq -8.2 \cdot 10^{-201}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq 2.1 \cdot 10^{-199}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq 5.6 \cdot 10^{-134}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{-30}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{-12}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - i \cdot \left(-b \cdot a\right)\right) + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;y \leq 1.95 \cdot 10^{+118}:\\ \;\;\;\;\left(z \cdot \left(y \cdot x\right) - a \cdot \left(b \cdot \left(-i\right)\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;y \leq 4 \cdot 10^{+148}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - c \cdot \left(z \cdot b\right)\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq 1.5 \cdot 10^{+194}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;y \leq 5.8 \cdot 10^{+233}:\\ \;\;\;\;\left(y \cdot x - c \cdot b\right) \cdot z + y \cdot \left(-i \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + c \cdot \left(t \cdot j\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	9.8
Cost	5704

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

Alternative 2
Error	25.6
Cost	3388

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := z \cdot \left(y \cdot x\right)\\ t_5 := \left(t_4 - a \cdot \left(b \cdot \left(-i\right)\right)\right) + t_1\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := \left(t_6 - i \cdot \left(-b \cdot a\right)\right) + t_3\\ t_8 := t_6 - t_2\\ t_9 := t_8 + y \cdot \left(-i \cdot j\right)\\ t_10 := t_8 + t_3\\ t_11 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_12 := \left(t_4 - t_11\right) + i \cdot \left(-y \cdot j\right)\\ \mathbf{if}\;c \leq -2.15 \cdot 10^{+73}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;c \leq -1.95 \cdot 10^{-16}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -1.02 \cdot 10^{-82}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;c \leq -1.5 \cdot 10^{-139}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;c \leq -3.4 \cdot 10^{-171}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - t_11\right) + t_3\\ \mathbf{elif}\;c \leq -4.8 \cdot 10^{-209}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq 2.55 \cdot 10^{-283}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 6.2 \cdot 10^{-228}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq 3 \cdot 10^{-192}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 2 \cdot 10^{-162}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;c \leq 2.3 \cdot 10^{-109}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 1.6 \cdot 10^{-83}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq 5.3 \cdot 10^{-33}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;c \leq 2 \cdot 10^{+15}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) - t_2\right) + t_1\\ \mathbf{elif}\;c \leq 9.2 \cdot 10^{+114}:\\ \;\;\;\;t_12\\ \mathbf{else}:\\ \;\;\;\;t_10\\ \end{array} \]

Alternative 3
Error	17.7
Cost	2984

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := \left(t_4 - t_3\right) + t_1\\ t_6 := t_4 - a \cdot \left(b \cdot \left(-i\right)\right)\\ t_7 := t_6 + t_1\\ t_8 := c \cdot \left(t \cdot j\right)\\ t_9 := \left(a \cdot \left(t \cdot \left(-x\right)\right) - t_2\right) + t_1\\ t_10 := z \cdot \left(y \cdot x\right)\\ \mathbf{if}\;a \leq -1.85 \cdot 10^{+157}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq -3.6 \cdot 10^{+132}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq -1.5 \cdot 10^{-50}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{-286}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 4 \cdot 10^{-50}:\\ \;\;\;\;\left(t_10 - t_2\right) + t_1\\ \mathbf{elif}\;a \leq 0.0105:\\ \;\;\;\;\left(t_4 - i \cdot \left(-b \cdot a\right)\right) + t_8\\ \mathbf{elif}\;a \leq 1.3 \cdot 10^{+25}:\\ \;\;\;\;\left(t_10 - t_3\right) + \left(t_8 + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{+100}:\\ \;\;\;\;t_6 + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{+127}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+167}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 4
Error	25.7
Cost	2860

\[\begin{array}{l} t_1 := y \cdot \left(-i \cdot j\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := \left(a \cdot \left(t \cdot \left(-x\right)\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + t_2\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\\ t_5 := t_4 + t_2\\ t_6 := t_4 + t_1\\ \mathbf{if}\;y \leq -3.6 \cdot 10^{+118}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -3.6 \cdot 10^{-85}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -3.6 \cdot 10^{-285}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 9 \cdot 10^{-200}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.85 \cdot 10^{-134}:\\ \;\;\;\;t_4 + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-26}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 62000000000000:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 3 \cdot 10^{+26}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) + t_1\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{+43}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{+73}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 7.2 \cdot 10^{+107}:\\ \;\;\;\;a \cdot \left(i \cdot b\right) + j \cdot \left(c \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 5
Error	30.4
Cost	2796

\[\begin{array}{l} t_1 := b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ t_2 := \left(y \cdot x - c \cdot b\right) \cdot z + j \cdot \left(c \cdot t\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := x \cdot \left(a \cdot \left(-t\right)\right) - t_3\\ t_5 := t_4 + y \cdot \left(-i \cdot j\right)\\ t_6 := \left(x \cdot \left(y \cdot z - t \cdot a\right) - t_3\right) + c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;z \leq -2.7 \cdot 10^{+85}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.22 \cdot 10^{+27}:\\ \;\;\;\;b \cdot \left(a \cdot i - c \cdot z\right) - a \cdot \left(t \cdot x\right)\\ \mathbf{elif}\;z \leq -1.95 \cdot 10^{-79}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -1.45 \cdot 10^{-246}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-305}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 2 \cdot 10^{-285}:\\ \;\;\;\;t_4 + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 6.5 \cdot 10^{-214}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{-147}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 68000000000:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{+35}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{+121}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 6
Error	31.5
Cost	2796

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot b\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) - t_1\\ t_3 := t_2 + t \cdot \left(c \cdot j\right)\\ t_4 := \left(x \cdot \left(a \cdot \left(-t\right)\right) - t_1\right) + y \cdot \left(-i \cdot j\right)\\ t_5 := j \cdot \left(c \cdot t\right)\\ t_6 := \left(y \cdot x - c \cdot b\right) \cdot z + t_5\\ t_7 := b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ \mathbf{if}\;z \leq -4.6 \cdot 10^{+88}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -1.4 \cdot 10^{+21}:\\ \;\;\;\;b \cdot \left(a \cdot i - c \cdot z\right) - a \cdot \left(t \cdot x\right)\\ \mathbf{elif}\;z \leq -5.7 \cdot 10^{-80}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -4 \cdot 10^{-243}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 1.12 \cdot 10^{-305}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-284}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.25 \cdot 10^{-211}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.72 \cdot 10^{-147}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{-78}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 5.2 \cdot 10^{-34}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) + t_5\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{+118}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_2 + c \cdot \left(t \cdot j\right)\\ \end{array} \]

Alternative 7
Error	18.2
Cost	2720

\[\begin{array}{l} t_1 := z \cdot \left(y \cdot x\right)\\ t_2 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := c \cdot \left(z \cdot b\right)\\ t_5 := t_3 - t_4\\ t_6 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_7 := t_5 + t_6\\ t_8 := \left(a \cdot \left(t \cdot \left(-x\right)\right) - t_2\right) + t_6\\ t_9 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;a \leq -1.1 \cdot 10^{-54}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 2.5 \cdot 10^{-286}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{-50}:\\ \;\;\;\;\left(t_1 - t_2\right) + t_6\\ \mathbf{elif}\;a \leq 0.016:\\ \;\;\;\;\left(t_3 - i \cdot \left(-b \cdot a\right)\right) + t_9\\ \mathbf{elif}\;a \leq 1.35 \cdot 10^{+26}:\\ \;\;\;\;\left(t_1 - t_4\right) + \left(t_9 + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right)\right)\\ \mathbf{elif}\;a \leq 6.1 \cdot 10^{+100}:\\ \;\;\;\;\left(t_3 - a \cdot \left(b \cdot \left(-i\right)\right)\right) + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;a \leq 4.5 \cdot 10^{+131}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 3.7 \cdot 10^{+234}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_5 + t_9\\ \end{array} \]

Alternative 8
Error	28.5
Cost	2664

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot b\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) - t_1\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := \left(x \cdot \left(a \cdot \left(-t\right)\right) - t_1\right) + y \cdot \left(-i \cdot j\right)\\ t_5 := \left(y \cdot \left(z \cdot x\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + t_3\\ t_6 := t_2 + t \cdot \left(c \cdot j\right)\\ \mathbf{if}\;z \leq -2.15 \cdot 10^{+119}:\\ \;\;\;\;\left(y \cdot x - c \cdot b\right) \cdot z + j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;z \leq -2.15 \cdot 10^{+18}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-79}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -4.5 \cdot 10^{-243}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 1.6 \cdot 10^{-305}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.15 \cdot 10^{-284}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-215}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 2.05 \cdot 10^{-147}:\\ \;\;\;\;b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{-57}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+122}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_2 + t_3\\ \end{array} \]

Alternative 9
Error	28.6
Cost	2664

\[\begin{array}{l} t_1 := j \cdot \left(c \cdot t\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_4 := \left(y \cdot \left(z \cdot x\right) - t_3\right) + t_2\\ t_5 := c \cdot \left(z \cdot b\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right) - t_5\\ t_7 := \left(x \cdot \left(a \cdot \left(-t\right)\right) - t_5\right) + y \cdot \left(-i \cdot j\right)\\ t_8 := t_6 + t \cdot \left(c \cdot j\right)\\ \mathbf{if}\;z \leq -5.8 \cdot 10^{+120}:\\ \;\;\;\;\left(y \cdot x - c \cdot b\right) \cdot z + t_1\\ \mathbf{elif}\;z \leq -6.9 \cdot 10^{+19}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -3.4 \cdot 10^{-79}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -3.3 \cdot 10^{-246}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 9.5 \cdot 10^{-306}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 1.12 \cdot 10^{-284}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 8.5 \cdot 10^{-214}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 4.7 \cdot 10^{-147}:\\ \;\;\;\;b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{-57}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 5.6 \cdot 10^{+123}:\\ \;\;\;\;\left(z \cdot \left(y \cdot x\right) - t_3\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;t_6 + t_2\\ \end{array} \]

Alternative 10
Error	25.5
Cost	2664

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_2 := a \cdot \left(b \cdot \left(-i\right)\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := y \cdot \left(-i \cdot j\right)\\ t_5 := j \cdot \left(c \cdot t\right)\\ t_6 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_7 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_8 := \left(t_7 - t_2\right) + t_4\\ t_9 := t_7 - t_3\\ t_10 := z \cdot \left(y \cdot x\right)\\ t_11 := t_10 - t_1\\ t_12 := c \cdot \left(t \cdot j\right)\\ t_13 := \left(t_10 - t_2\right) + t_6\\ \mathbf{if}\;z \leq -2 \cdot 10^{+121}:\\ \;\;\;\;\left(y \cdot x - c \cdot b\right) \cdot z + t_5\\ \mathbf{elif}\;z \leq -2.7 \cdot 10^{-28}:\\ \;\;\;\;t_11 + i \cdot \left(-y \cdot j\right)\\ \mathbf{elif}\;z \leq -4 \cdot 10^{-60}:\\ \;\;\;\;t_9 + t_4\\ \mathbf{elif}\;z \leq -6.2 \cdot 10^{-125}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - t_1\right) + t_12\\ \mathbf{elif}\;z \leq -1.25 \cdot 10^{-162}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) - t_3\right) + t_6\\ \mathbf{elif}\;z \leq -8 \cdot 10^{-182}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;z \leq -9 \cdot 10^{-302}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 3.8 \cdot 10^{-286}:\\ \;\;\;\;t_13\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{-212}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{+119}:\\ \;\;\;\;t_11 + t_5\\ \mathbf{else}:\\ \;\;\;\;t_9 + t_12\\ \end{array} \]

Alternative 11
Error	21.1
Cost	2656

\[\begin{array}{l} t_1 := c \cdot \left(z \cdot b\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := z \cdot \left(y \cdot x\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_7 := \left(t_5 - t_6\right) + t_3\\ \mathbf{if}\;x \leq -5 \cdot 10^{+188}:\\ \;\;\;\;\left(t_5 - i \cdot \left(-b \cdot a\right)\right) + t_3\\ \mathbf{elif}\;x \leq -1.05 \cdot 10^{-9}:\\ \;\;\;\;\left(t_5 - t_1\right) + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-153}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-239}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) - t_1\right) + t_2\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-298}:\\ \;\;\;\;b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ \mathbf{elif}\;x \leq 6.8 \cdot 10^{-175}:\\ \;\;\;\;\left(t_4 - t_6\right) + i \cdot \left(-y \cdot j\right)\\ \mathbf{elif}\;x \leq 2.7 \cdot 10^{-121}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - t_1\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;x \leq 2.65 \cdot 10^{-90}:\\ \;\;\;\;\left(t_4 - a \cdot \left(b \cdot \left(-i\right)\right)\right) + t_2\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 12
Error	24.6
Cost	2596

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := \left(a \cdot \left(t \cdot \left(-x\right)\right) - t_1\right) + t_2\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := t_5 - t_3\\ t_7 := \left(t_5 - i \cdot \left(-b \cdot a\right)\right) + t_2\\ t_8 := y \cdot \left(z \cdot x\right)\\ \mathbf{if}\;a \leq -4.1 \cdot 10^{+198}:\\ \;\;\;\;a \cdot \left(i \cdot b\right) + j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;a \leq -4 \cdot 10^{+108}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq -1.9 \cdot 10^{-10}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -1.16 \cdot 10^{-66}:\\ \;\;\;\;t_6 + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;a \leq -2.6 \cdot 10^{-120}:\\ \;\;\;\;b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 3 \cdot 10^{-153}:\\ \;\;\;\;\left(t_8 - t_3\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;a \leq 5.3 \cdot 10^{-45}:\\ \;\;\;\;\left(t_8 - t_1\right) + t_2\\ \mathbf{elif}\;a \leq 0.0025:\\ \;\;\;\;t_7\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+234}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_6 + t_2\\ \end{array} \]

Alternative 13
Error	20.0
Cost	2524

\[\begin{array}{l} t_1 := z \cdot \left(y \cdot x\right)\\ t_2 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := \left(t_5 - t_2\right) + c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;x \leq -9.2 \cdot 10^{-11}:\\ \;\;\;\;\left(t_5 - t_3\right) + t_4\\ \mathbf{elif}\;x \leq -4.8 \cdot 10^{-155}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -1.75 \cdot 10^{-237}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) - t_3\right) + t_4\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{-299}:\\ \;\;\;\;b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ \mathbf{elif}\;x \leq 3.2 \cdot 10^{-174}:\\ \;\;\;\;\left(t_1 - t_2\right) + i \cdot \left(-y \cdot j\right)\\ \mathbf{elif}\;x \leq 2.4 \cdot 10^{-124}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - t_3\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;x \leq 3.7 \cdot 10^{-90}:\\ \;\;\;\;\left(t_1 - a \cdot \left(b \cdot \left(-i\right)\right)\right) + t_4\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 14
Error	31.5
Cost	2472

\[\begin{array}{l} t_1 := t \cdot \left(c \cdot j\right)\\ t_2 := b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ t_3 := \left(y \cdot x - c \cdot b\right) \cdot z + j \cdot \left(c \cdot t\right)\\ t_4 := c \cdot \left(z \cdot b\right)\\ t_5 := x \cdot \left(a \cdot \left(-t\right)\right) - t_4\\ t_6 := t_5 + y \cdot \left(-i \cdot j\right)\\ \mathbf{if}\;z \leq -7.2 \cdot 10^{+85}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{+24}:\\ \;\;\;\;b \cdot \left(a \cdot i - c \cdot z\right) - a \cdot \left(t \cdot x\right)\\ \mathbf{elif}\;z \leq -4.1 \cdot 10^{-79}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -1.15 \cdot 10^{-247}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.55 \cdot 10^{-305}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 2.55 \cdot 10^{-284}:\\ \;\;\;\;t_5 + t_1\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-215}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 8.5 \cdot 10^{-34}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.9 \cdot 10^{+127}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 6 \cdot 10^{+193}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - t_4\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 15
Error	24.9
Cost	2332

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := \left(a \cdot \left(t \cdot \left(-x\right)\right) - b \cdot \left(z \cdot c - a \cdot i\right)\right) + t_1\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\\ t_4 := t_3 + y \cdot \left(-i \cdot j\right)\\ \mathbf{if}\;y \leq -3.1 \cdot 10^{+117}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-85}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -2.1 \cdot 10^{-284}:\\ \;\;\;\;t_3 + t_1\\ \mathbf{elif}\;y \leq 3.1 \cdot 10^{-204}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 9.6 \cdot 10^{-138}:\\ \;\;\;\;t_3 + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;y \leq 1.05 \cdot 10^{-31}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{+112}:\\ \;\;\;\;\left(z \cdot \left(y \cdot x\right) - a \cdot \left(b \cdot \left(-i\right)\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 16
Error	25.6
Cost	2268

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - c \cdot z\right) - a \cdot \left(t \cdot x\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := y \cdot \left(z \cdot x\right)\\ t_4 := \left(t_3 - t_2\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_5 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;a \leq -6.4 \cdot 10^{+125}:\\ \;\;\;\;a \cdot \left(b \cdot i - t \cdot x\right)\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{+70}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -2.8 \cdot 10^{-49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.35 \cdot 10^{-152}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-5}:\\ \;\;\;\;\left(t_3 - b \cdot \left(z \cdot c - a \cdot i\right)\right) + t_5\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{+37}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) - t_2\right) + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+234}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - t_2\right) + t_5\\ \end{array} \]

Alternative 17
Error	31.8
Cost	2208

\[\begin{array}{l} t_1 := b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ t_2 := \left(y \cdot x - c \cdot b\right) \cdot z + j \cdot \left(c \cdot t\right)\\ \mathbf{if}\;z \leq -4.2 \cdot 10^{+85}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.9 \cdot 10^{-49}:\\ \;\;\;\;b \cdot \left(a \cdot i - c \cdot z\right) - a \cdot \left(t \cdot x\right)\\ \mathbf{elif}\;z \leq -4.4 \cdot 10^{-60}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-278}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 5.5 \cdot 10^{-215}:\\ \;\;\;\;a \cdot \left(b \cdot i - t \cdot x\right)\\ \mathbf{elif}\;z \leq 8.5 \cdot 10^{-34}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.9 \cdot 10^{+127}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 6 \cdot 10^{+193}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - c \cdot \left(z \cdot b\right)\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 18
Error	15.3
Cost	2128

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := \left(t_3 - c \cdot \left(z \cdot b\right)\right) + t_2\\ t_5 := \left(y \cdot \left(z \cdot x\right) - t_1\right) + t_2\\ \mathbf{if}\;j \leq -5.5 \cdot 10^{-60}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 1.95 \cdot 10^{-97}:\\ \;\;\;\;\left(t_3 - t_1\right) + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;j \leq 5.4 \cdot 10^{+114}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq 1.26 \cdot 10^{+218}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 19
Error	15.2
Cost	2128

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := \left(t_3 - c \cdot \left(z \cdot b\right)\right) + t_2\\ \mathbf{if}\;j \leq -1.18 \cdot 10^{-59}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{-97}:\\ \;\;\;\;\left(t_3 - t_1\right) + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;j \leq 5 \cdot 10^{+113}:\\ \;\;\;\;\left(y \cdot \left(z \cdot x\right) - t_1\right) + t_2\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{+185}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;\left(z \cdot \left(y \cdot x\right) - t_1\right) + t_2\\ \end{array} \]

Alternative 20
Error	22.9
Cost	2004

\[\begin{array}{l} t_1 := b \cdot \left(z \cdot c - a \cdot i\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := y \cdot \left(z \cdot x\right)\\ t_5 := \left(t_4 - t_1\right) + t_3\\ \mathbf{if}\;b \leq -3.3 \cdot 10^{-16}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq -2 \cdot 10^{-292}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - t_2\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;b \leq 9.2 \cdot 10^{-125}:\\ \;\;\;\;\left(t_4 - t_2\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;b \leq 2.45 \cdot 10^{+36}:\\ \;\;\;\;\left(a \cdot \left(t \cdot \left(-x\right)\right) - t_1\right) + t_3\\ \mathbf{elif}\;b \leq 5 \cdot 10^{+207}:\\ \;\;\;\;\left(z \cdot \left(y \cdot x\right) - t_1\right) + j \cdot \left(c \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 21
Error	32.1
Cost	1884

\[\begin{array}{l} t_1 := j \cdot \left(c \cdot t\right)\\ t_2 := y \cdot \left(z \cdot x\right) + y \cdot \left(-i \cdot j\right)\\ t_3 := \left(y \cdot x - c \cdot b\right) \cdot z + t_1\\ t_4 := a \cdot \left(b \cdot i - t \cdot x\right)\\ \mathbf{if}\;a \leq -3 \cdot 10^{-50}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -1.36 \cdot 10^{-179}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-219}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 4.6 \cdot 10^{-294}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{-286}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 4.4 \cdot 10^{-134}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 3.1 \cdot 10^{+73}:\\ \;\;\;\;\left(a \cdot i - c \cdot z\right) \cdot b + t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 22
Error	31.7
Cost	1884

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right) + y \cdot \left(-i \cdot j\right)\\ t_2 := b \cdot \left(a \cdot i - c \cdot z\right) - a \cdot \left(t \cdot x\right)\\ t_3 := \left(y \cdot x - c \cdot b\right) \cdot z + j \cdot \left(c \cdot t\right)\\ \mathbf{if}\;a \leq -7 \cdot 10^{-53}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -1.36 \cdot 10^{-179}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -6.4 \cdot 10^{-221}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{-294}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-284}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{-134}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+234}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right) - c \cdot \left(b \cdot z\right)\\ \end{array} \]

Alternative 23
Error	31.9
Cost	1884

\[\begin{array}{l} t_1 := \left(y \cdot x - c \cdot b\right) \cdot z + j \cdot \left(c \cdot t\right)\\ t_2 := y \cdot \left(z \cdot x\right) + y \cdot \left(-i \cdot j\right)\\ t_3 := b \cdot \left(a \cdot i - c \cdot z\right) - a \cdot \left(t \cdot x\right)\\ \mathbf{if}\;a \leq -4 \cdot 10^{-43}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -8.8 \cdot 10^{-182}:\\ \;\;\;\;b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ \mathbf{elif}\;a \leq -1.52 \cdot 10^{-217}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 4.6 \cdot 10^{-294}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.7 \cdot 10^{-286}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 2.25 \cdot 10^{-134}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.65 \cdot 10^{+234}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right) - c \cdot \left(b \cdot z\right)\\ \end{array} \]

Alternative 24
Error	31.4
Cost	1812

\[\begin{array}{l} t_1 := \left(y \cdot x - c \cdot b\right) \cdot z\\ t_2 := b \cdot \left(a \cdot i - c \cdot z\right) - a \cdot \left(t \cdot x\right)\\ \mathbf{if}\;a \leq -6.3 \cdot 10^{-43}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -5 \cdot 10^{-181}:\\ \;\;\;\;b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ \mathbf{elif}\;a \leq -8.2 \cdot 10^{-221}:\\ \;\;\;\;t_1 + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-134}:\\ \;\;\;\;t_1 + j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+234}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot \left(a \cdot \left(-t\right)\right) - c \cdot \left(z \cdot b\right)\right) + t \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 25
Error	37.2
Cost	1764

\[\begin{array}{l} t_1 := y \cdot \left(z \cdot x\right) + y \cdot \left(-i \cdot j\right)\\ t_2 := c \cdot \left(t \cdot j\right) - z \cdot \left(b \cdot c\right)\\ t_3 := a \cdot \left(b \cdot i - t \cdot x\right)\\ \mathbf{if}\;a \leq -2.65 \cdot 10^{-51}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -6.8 \cdot 10^{-172}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{-221}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4.7 \cdot 10^{-293}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 3 \cdot 10^{-277}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{-214}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 2.4 \cdot 10^{-165}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 8.2 \cdot 10^{-140}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 3.9 \cdot 10^{-45}:\\ \;\;\;\;\left(a \cdot i - c \cdot z\right) \cdot b\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 26
Error	49.9
Cost	1704

\[\begin{array}{l} t_1 := a \cdot \left(i \cdot b\right)\\ t_2 := t \cdot \left(a \cdot \left(-x\right)\right)\\ t_3 := c \cdot \left(b \cdot \left(-z\right)\right)\\ \mathbf{if}\;c \leq -2.05 \cdot 10^{+73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -9.8 \cdot 10^{+36}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.3 \cdot 10^{-22}:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;c \leq -6.5 \cdot 10^{-65}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -9.2 \cdot 10^{-205}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -3 \cdot 10^{-240}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 2.45 \cdot 10^{-291}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right)\\ \mathbf{elif}\;c \leq 7.8 \cdot 10^{-231}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 4.3 \cdot 10^{-23}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 5.2 \cdot 10^{+218}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 27
Error	31.5
Cost	1620

\[\begin{array}{l} t_1 := \left(y \cdot x - c \cdot b\right) \cdot z\\ t_2 := b \cdot \left(a \cdot i - c \cdot z\right) - a \cdot \left(t \cdot x\right)\\ \mathbf{if}\;a \leq -7.2 \cdot 10^{-43}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{-181}:\\ \;\;\;\;b \cdot \left(i \cdot a\right) + c \cdot \left(t \cdot j + \left(-z \cdot b\right)\right)\\ \mathbf{elif}\;a \leq -3.2 \cdot 10^{-224}:\\ \;\;\;\;t_1 + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;a \leq 5.8 \cdot 10^{-134}:\\ \;\;\;\;t_1 + j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+234}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right) - c \cdot \left(b \cdot z\right)\\ \end{array} \]

Alternative 28
Error	50.1
Cost	1572

\[\begin{array}{l} t_1 := a \cdot \left(i \cdot b\right)\\ t_2 := c \cdot \left(b \cdot \left(-z\right)\right)\\ \mathbf{if}\;c \leq -5.5 \cdot 10^{+73}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -8.7 \cdot 10^{+36}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -2.35 \cdot 10^{-28}:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;c \leq -4.5 \cdot 10^{-64}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -6 \cdot 10^{-202}:\\ \;\;\;\;t \cdot \left(a \cdot \left(-x\right)\right)\\ \mathbf{elif}\;c \leq -6 \cdot 10^{-243}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 5.6 \cdot 10^{-231}:\\ \;\;\;\;-1 \cdot \left(a \cdot \left(t \cdot x\right)\right)\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{-20}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{+216}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 29
Error	33.3
Cost	1560

\[\begin{array}{l} t_1 := j \cdot \left(c \cdot t\right)\\ t_2 := y \cdot \left(z \cdot x\right)\\ t_3 := t_2 + y \cdot \left(-i \cdot j\right)\\ \mathbf{if}\;y \leq -1.6 \cdot 10^{+106}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{-134}:\\ \;\;\;\;\left(a \cdot i - c \cdot z\right) \cdot b + t_1\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-13}:\\ \;\;\;\;a \cdot \left(b \cdot i - t \cdot x\right)\\ \mathbf{elif}\;y \leq 6.5 \cdot 10^{+43}:\\ \;\;\;\;t_2 + t_1\\ \mathbf{elif}\;y \leq 4.1 \cdot 10^{+73}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 3.9 \cdot 10^{+103}:\\ \;\;\;\;a \cdot \left(i \cdot b\right) + t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 30
Error	37.5
Cost	1368

\[\begin{array}{l} t_1 := \left(a \cdot i - c \cdot z\right) \cdot b\\ t_2 := c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{if}\;c \leq -1.45 \cdot 10^{+73}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -1.62 \cdot 10^{-19}:\\ \;\;\;\;i \cdot \left(b \cdot a\right) + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;c \leq -2.4 \cdot 10^{-63}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq -3 \cdot 10^{-102}:\\ \;\;\;\;y \cdot \left(z \cdot x\right) + j \cdot \left(c \cdot t\right)\\ \mathbf{elif}\;c \leq 1.2 \cdot 10^{-190}:\\ \;\;\;\;a \cdot \left(b \cdot i - t \cdot x\right)\\ \mathbf{elif}\;c \leq 2.7 \cdot 10^{-20}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 31
Error	37.2
Cost	1236

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - t \cdot x\right)\\ \mathbf{if}\;a \leq -8.2 \cdot 10^{-51}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.15 \cdot 10^{-181}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;a \leq -1.5 \cdot 10^{-217}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) + y \cdot \left(-i \cdot j\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-139}:\\ \;\;\;\;c \cdot \left(t \cdot j\right) - z \cdot \left(b \cdot c\right)\\ \mathbf{elif}\;a \leq 7.2 \cdot 10^{-45}:\\ \;\;\;\;\left(a \cdot i - c \cdot z\right) \cdot b\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 32
Error	42.1
Cost	972

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - t \cdot x\right)\\ \mathbf{if}\;a \leq -9.2 \cdot 10^{-57}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -5.4 \cdot 10^{-289}:\\ \;\;\;\;c \cdot \left(b \cdot \left(-z\right)\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-133}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 33
Error	36.7
Cost	972

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - t \cdot x\right)\\ \mathbf{if}\;a \leq -9 \cdot 10^{-49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.6 \cdot 10^{-140}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;a \leq 5.3 \cdot 10^{-45}:\\ \;\;\;\;\left(a \cdot i - c \cdot z\right) \cdot b\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 34
Error	49.2
Cost	912

\[\begin{array}{l} t_1 := b \cdot \left(c \cdot \left(-z\right)\right)\\ t_2 := a \cdot \left(i \cdot b\right)\\ \mathbf{if}\;a \leq -8 \cdot 10^{-52}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -3.3 \cdot 10^{-266}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-140}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{-83}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 35
Error	49.3
Cost	912

\[\begin{array}{l} t_1 := a \cdot \left(i \cdot b\right)\\ \mathbf{if}\;a \leq -3 \cdot 10^{-49}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.4 \cdot 10^{-290}:\\ \;\;\;\;c \cdot \left(b \cdot \left(-z\right)\right)\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{-140}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{-82}:\\ \;\;\;\;b \cdot \left(c \cdot \left(-z\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 36
Error	36.8
Cost	840

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - t \cdot x\right)\\ \mathbf{if}\;a \leq -6.5 \cdot 10^{-52}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.25 \cdot 10^{-82}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 37
Error	49.2
Cost	584

\[\begin{array}{l} t_1 := a \cdot \left(i \cdot b\right)\\ \mathbf{if}\;a \leq -2.5 \cdot 10^{-65}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.35 \cdot 10^{-132}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 38
Error	53.3
Cost	320

\[a \cdot \left(i \cdot b\right) \]

Reproduce

herbie shell --seed 2023069 
(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)))))