Linear.Matrix:det33 from linear-1.19.1.3

Average Error: 11.8 → 4.9

Time: 1.9min

Precision: binary64

Cost: 5832

Math

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

↓

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) + t_1\\ t_3 := t_2 + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_3 \leq -\infty:\\ \;\;\;\;\left(t_1 + \left(c \cdot \left(t \cdot j\right) - a \cdot \left(x \cdot t\right)\right)\right) + y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;t_3 \leq 2 \cdot 10^{+302}:\\ \;\;\;\;t_2 + \left(j \cdot \left(t \cdot c\right) - j \cdot \left(y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(\left(i \cdot \left(a \cdot b\right) + y \cdot \left(x \cdot z\right)\right) - i \cdot \left(y \cdot j\right)\right) - t \cdot \left(x \cdot a - c \cdot j\right)\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (* b (- (* a i) (* z c))))
        (t_2 (+ (* x (- (* y z) (* t a))) t_1))
        (t_3 (+ t_2 (* j (- (* t c) (* y i))))))
   (if (<= t_3 (- INFINITY))
     (+ (+ t_1 (- (* c (* t j)) (* a (* x t)))) (* y (- (* x z) (* i j))))
     (if (<= t_3 2e+302)
       (+ t_2 (- (* j (* t c)) (* j (* y i))))
       (-
        (- (+ (* i (* a b)) (* y (* x z))) (* i (* y j)))
        (* t (- (* x a) (* c j))))))))

C

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

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = b * ((a * i) - (z * c));
	double t_2 = (x * ((y * z) - (t * a))) + t_1;
	double t_3 = t_2 + (j * ((t * c) - (y * i)));
	double tmp;
	if (t_3 <= -((double) INFINITY)) {
		tmp = (t_1 + ((c * (t * j)) - (a * (x * t)))) + (y * ((x * z) - (i * j)));
	} else if (t_3 <= 2e+302) {
		tmp = t_2 + ((j * (t * c)) - (j * (y * i)));
	} else {
		tmp = (((i * (a * b)) + (y * (x * z))) - (i * (y * j))) - (t * ((x * a) - (c * j)));
	}
	return tmp;
}

Java

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

↓

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = b * ((a * i) - (z * c));
	double t_2 = (x * ((y * z) - (t * a))) + t_1;
	double t_3 = t_2 + (j * ((t * c) - (y * i)));
	double tmp;
	if (t_3 <= -Double.POSITIVE_INFINITY) {
		tmp = (t_1 + ((c * (t * j)) - (a * (x * t)))) + (y * ((x * z) - (i * j)));
	} else if (t_3 <= 2e+302) {
		tmp = t_2 + ((j * (t * c)) - (j * (y * i)));
	} else {
		tmp = (((i * (a * b)) + (y * (x * z))) - (i * (y * j))) - (t * ((x * a) - (c * j)));
	}
	return tmp;
}

Python

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

↓

def code(x, y, z, t, a, b, c, i, j):
	t_1 = b * ((a * i) - (z * c))
	t_2 = (x * ((y * z) - (t * a))) + t_1
	t_3 = t_2 + (j * ((t * c) - (y * i)))
	tmp = 0
	if t_3 <= -math.inf:
		tmp = (t_1 + ((c * (t * j)) - (a * (x * t)))) + (y * ((x * z) - (i * j)))
	elif t_3 <= 2e+302:
		tmp = t_2 + ((j * (t * c)) - (j * (y * i)))
	else:
		tmp = (((i * (a * b)) + (y * (x * z))) - (i * (y * j))) - (t * ((x * a) - (c * j)))
	return tmp

Julia

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

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(b * Float64(Float64(a * i) - Float64(z * c)))
	t_2 = Float64(Float64(x * Float64(Float64(y * z) - Float64(t * a))) + t_1)
	t_3 = Float64(t_2 + Float64(j * Float64(Float64(t * c) - Float64(y * i))))
	tmp = 0.0
	if (t_3 <= Float64(-Inf))
		tmp = Float64(Float64(t_1 + Float64(Float64(c * Float64(t * j)) - Float64(a * Float64(x * t)))) + Float64(y * Float64(Float64(x * z) - Float64(i * j))));
	elseif (t_3 <= 2e+302)
		tmp = Float64(t_2 + Float64(Float64(j * Float64(t * c)) - Float64(j * Float64(y * i))));
	else
		tmp = Float64(Float64(Float64(Float64(i * Float64(a * b)) + Float64(y * Float64(x * z))) - Float64(i * Float64(y * j))) - Float64(t * Float64(Float64(x * a) - Float64(c * j))));
	end
	return tmp
end

MATLAB

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

↓

function tmp_2 = code(x, y, z, t, a, b, c, i, j)
	t_1 = b * ((a * i) - (z * c));
	t_2 = (x * ((y * z) - (t * a))) + t_1;
	t_3 = t_2 + (j * ((t * c) - (y * i)));
	tmp = 0.0;
	if (t_3 <= -Inf)
		tmp = (t_1 + ((c * (t * j)) - (a * (x * t)))) + (y * ((x * z) - (i * j)));
	elseif (t_3 <= 2e+302)
		tmp = t_2 + ((j * (t * c)) - (j * (y * i)));
	else
		tmp = (((i * (a * b)) + (y * (x * z))) - (i * (y * j))) - (t * ((x * a) - (c * j)));
	end
	tmp_2 = tmp;
end

Wolfram

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

↓

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

Target

Original	11.8
Target	15.6
Herbie	4.9

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

Derivation

1. Split input into 3 regimes

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

   1. Initial program 64.0

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

   2. Simplified 64.0

      \[\leadsto \color{blue}{\mathsf{fma}\left(b, \mathsf{fma}\left(z, -c, a \cdot i\right), \mathsf{fma}\left(x, \mathsf{fma}\left(y, z, a \cdot \left(-t\right)\right), j \cdot \mathsf{fma}\left(i, -y, t \cdot c\right)\right)\right)} \]
      Proof
      (fma.f64 b (fma.f64 z (neg.f64 c) (*.f64 a i)) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (fma.f64 z (neg.f64 c) (Rewrite<= *-commutative_binary64 (*.f64 i a))) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (Rewrite=> fma-udef_binary64 (+.f64 (*.f64 z (neg.f64 c)) (*.f64 i a))) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 1 points decrease in error
      (fma.f64 b (+.f64 (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 z c))) (*.f64 i a)) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (+.f64 (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 c z))) (*.f64 i a)) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (+.f64 (Rewrite=> neg-sub0_binary64 (-.f64 0 (*.f64 c z))) (*.f64 i a)) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (Rewrite<= associate--r-_binary64 (-.f64 0 (-.f64 (*.f64 c z) (*.f64 i a)))) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (Rewrite<= neg-sub0_binary64 (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a)))) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (fma.f64 y z (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 a t)))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (fma.f64 y z (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 t a)))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (Rewrite<= fma-neg_binary64 (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (fma.f64 i (neg.f64 y) (Rewrite<= *-commutative_binary64 (*.f64 c t)))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (Rewrite<= fma-def_binary64 (+.f64 (*.f64 i (neg.f64 y)) (*.f64 c t)))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (+.f64 (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 i y))) (*.f64 c t))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (+.f64 (Rewrite<= distribute-lft-neg-out_binary64 (*.f64 (neg.f64 i) y)) (*.f64 c t))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 c t) (*.f64 (neg.f64 i) y)))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (*.f64 c t) (*.f64 i y)))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (Rewrite<= fma-def_binary64 (+.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))) (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= fma-def_binary64 (+.f64 (*.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a)))) (+.f64 (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))) (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))))): 1 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a))))) (+.f64 (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))) (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= distribute-lft-neg-out_binary64 (*.f64 (neg.f64 b) (-.f64 (*.f64 c z) (*.f64 i a)))) (+.f64 (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))) (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (*.f64 (neg.f64 b) (-.f64 (*.f64 c z) (*.f64 i a))) (Rewrite=> +-commutative_binary64 (+.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (*.f64 (neg.f64 b) (-.f64 (*.f64 c z) (*.f64 i a))) (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 (neg.f64 b) (-.f64 (*.f64 c z) (*.f64 i a))))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a))))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error

   3. Taylor expanded in y around 0 28.1

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

   if -inf.0 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))) < 2.0000000000000002e302

   1. Initial program 0.8

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

   2. Applied egg-rr 0.8

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

   if 2.0000000000000002e302 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))))

   1. Initial program 58.3

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

   2. Simplified 58.3

      \[\leadsto \color{blue}{\mathsf{fma}\left(b, \mathsf{fma}\left(z, -c, a \cdot i\right), \mathsf{fma}\left(x, \mathsf{fma}\left(y, z, a \cdot \left(-t\right)\right), j \cdot \mathsf{fma}\left(i, -y, t \cdot c\right)\right)\right)} \]
      Proof
      (fma.f64 b (fma.f64 z (neg.f64 c) (*.f64 a i)) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (fma.f64 z (neg.f64 c) (Rewrite<= *-commutative_binary64 (*.f64 i a))) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (Rewrite=> fma-udef_binary64 (+.f64 (*.f64 z (neg.f64 c)) (*.f64 i a))) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 1 points decrease in error
      (fma.f64 b (+.f64 (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 z c))) (*.f64 i a)) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (+.f64 (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 c z))) (*.f64 i a)) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (+.f64 (Rewrite=> neg-sub0_binary64 (-.f64 0 (*.f64 c z))) (*.f64 i a)) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (Rewrite<= associate--r-_binary64 (-.f64 0 (-.f64 (*.f64 c z) (*.f64 i a)))) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (Rewrite<= neg-sub0_binary64 (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a)))) (fma.f64 x (fma.f64 y z (*.f64 a (neg.f64 t))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (fma.f64 y z (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 a t)))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (fma.f64 y z (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 t a)))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (Rewrite<= fma-neg_binary64 (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 j (fma.f64 i (neg.f64 y) (*.f64 t c))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (fma.f64 i (neg.f64 y) (Rewrite<= *-commutative_binary64 (*.f64 c t)))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (Rewrite<= fma-def_binary64 (+.f64 (*.f64 i (neg.f64 y)) (*.f64 c t)))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (+.f64 (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 i y))) (*.f64 c t))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (+.f64 (Rewrite<= distribute-lft-neg-out_binary64 (*.f64 (neg.f64 i) y)) (*.f64 c t))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 c t) (*.f64 (neg.f64 i) y)))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (fma.f64 x (-.f64 (*.f64 y z) (*.f64 t a)) (*.f64 j (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (*.f64 c t) (*.f64 i y)))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (Rewrite<= fma-def_binary64 (+.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))))): 0 points increase in error, 0 points decrease in error
      (fma.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a))) (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))) (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= fma-def_binary64 (+.f64 (*.f64 b (neg.f64 (-.f64 (*.f64 c z) (*.f64 i a)))) (+.f64 (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))) (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))))): 1 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a))))) (+.f64 (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))) (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= distribute-lft-neg-out_binary64 (*.f64 (neg.f64 b) (-.f64 (*.f64 c z) (*.f64 i a)))) (+.f64 (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))) (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (*.f64 (neg.f64 b) (-.f64 (*.f64 c z) (*.f64 i a))) (Rewrite=> +-commutative_binary64 (+.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-+l+_binary64 (+.f64 (+.f64 (*.f64 (neg.f64 b) (-.f64 (*.f64 c z) (*.f64 i a))) (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y))))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 (neg.f64 b) (-.f64 (*.f64 c z) (*.f64 i a))))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error
      (+.f64 (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a))))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))): 0 points increase in error, 0 points decrease in error

   3. Taylor expanded in t around 0 28.7

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

   4. Taylor expanded in c around 0 19.1

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

4. Final simplification 4.9

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

Alternatives

Alternative 1
Error	4.2
Cost	5832

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := t_1 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := i \cdot \left(a \cdot b\right)\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;\left(\left(c \cdot \left(t \cdot j\right) - a \cdot \left(x \cdot t\right)\right) + t_3\right) + y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;t_2 \leq 2 \cdot 10^{+302}:\\ \;\;\;\;t_1 + \left(j \cdot \left(t \cdot c\right) - j \cdot \left(y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(\left(t_3 + y \cdot \left(x \cdot z\right)\right) - i \cdot \left(y \cdot j\right)\right) - t \cdot \left(x \cdot a - c \cdot j\right)\\ \end{array} \]

Alternative 2
Error	5.9
Cost	5704

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right) + \left(c \cdot \left(t \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\\ t_2 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_2 \leq -\infty:\\ \;\;\;\;t_1\\ \mathbf{elif}\;t_2 \leq 10^{+304}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 3
Error	4.2
Cost	5704

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

Alternative 4
Error	4.2
Cost	5704

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

Alternative 5
Error	32.7
Cost	3204

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i\right)\\ t_4 := i \cdot \left(y \cdot j\right)\\ t_5 := j \cdot \left(t \cdot c\right)\\ t_6 := t_2 + t_5\\ t_7 := c \cdot \left(t \cdot j - z \cdot b\right)\\ t_8 := y \cdot \left(x \cdot z\right)\\ t_9 := t_8 + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{if}\;c \leq -2.6 \cdot 10^{+32}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;c \leq -4.9628670251243394 \cdot 10^{-58}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -2.432073520467501 \cdot 10^{-91}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq -1.3460420282686868 \cdot 10^{-99}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right)\\ \mathbf{elif}\;c \leq -5.912638605504334 \cdot 10^{-105}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -9.79803432120528 \cdot 10^{-127}:\\ \;\;\;\;t_2 - t_4\\ \mathbf{elif}\;c \leq -3.1481464495515244 \cdot 10^{-131}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;c \leq -9.67317934314523 \cdot 10^{-158}:\\ \;\;\;\;t_1 + t_5\\ \mathbf{elif}\;c \leq 6.1091593959561075 \cdot 10^{-233}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 5.323120793543446 \cdot 10^{-171}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq 3.1285671248752084 \cdot 10^{-115}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;c \leq 2.44127757621143 \cdot 10^{-10}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{+60}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;c \leq 5.8 \cdot 10^{+70}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 2.5 \cdot 10^{+127}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;c \leq 2.35 \cdot 10^{+163}:\\ \;\;\;\;t_1 - t_4\\ \mathbf{elif}\;c \leq 6 \cdot 10^{+223}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \end{array} \]

Alternative 6
Error	25.0
Cost	2928

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := i \cdot \left(y \cdot j\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_5 := y \cdot \left(i \cdot j\right)\\ t_6 := \left(t_1 + y \cdot \left(x \cdot z\right)\right) - t_5\\ t_7 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_8 := t_4 + t_7\\ t_9 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_10 := t_9 + b \cdot \left(a \cdot i\right)\\ t_11 := \left(t_9 - z \cdot \left(b \cdot c\right)\right) - t_5\\ \mathbf{if}\;x \leq -1 \cdot 10^{+42}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;x \leq -2.0042453908874974 \cdot 10^{-56}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;x \leq -3.3569796950331233 \cdot 10^{-155}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq -1.816213459441097 \cdot 10^{-183}:\\ \;\;\;\;t_1 - t_3\\ \mathbf{elif}\;x \leq -4.366301539847087 \cdot 10^{-248}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ \mathbf{elif}\;x \leq 2.0393683017612983 \cdot 10^{-297}:\\ \;\;\;\;t_4 + \left(t_2 - t_3\right)\\ \mathbf{elif}\;x \leq 1.589763449940956 \cdot 10^{-285}:\\ \;\;\;\;t_7 - b \cdot \left(z \cdot c\right)\\ \mathbf{elif}\;x \leq 1.7518923202761673 \cdot 10^{-200}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 2.5258214333397136 \cdot 10^{-169}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq 3.7428368735596706 \cdot 10^{-96}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{+55}:\\ \;\;\;\;t_4 + \left(t_2 - t_5\right)\\ \mathbf{elif}\;x \leq 10^{+70}:\\ \;\;\;\;t_10\\ \mathbf{else}:\\ \;\;\;\;t_11\\ \end{array} \]

Alternative 7
Error	31.9
Cost	2676

\[\begin{array}{l} t_1 := i \cdot \left(a \cdot b\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t_2 + j \cdot \left(t \cdot c\right)\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right) - c \cdot \left(z \cdot b\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i\right)\\ \mathbf{if}\;y \leq -1.46 \cdot 10^{+90}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{+45}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -1.1609723626035934 \cdot 10^{-84}:\\ \;\;\;\;t_2 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;y \leq -3.6035367067061283 \cdot 10^{-99}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -5.726387539019252 \cdot 10^{-232}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 6.493286416890518 \cdot 10^{-306}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;y \leq 4.7947734168751537 \cdot 10^{-150}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 3.9596823804155744 \cdot 10^{-133}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 2.180042925004415 \cdot 10^{-91}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 7.6 \cdot 10^{+39}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+85}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{+106}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 10^{+137}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 8
Error	31.9
Cost	2676

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t_2 + j \cdot \left(t \cdot c\right)\\ t_4 := j \cdot \left(y \cdot i - t \cdot c\right)\\ t_5 := y \cdot \left(x \cdot z - i \cdot j\right) - c \cdot \left(z \cdot b\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right) + t_1\\ \mathbf{if}\;y \leq -1.46 \cdot 10^{+90}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{+45}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -1.1609723626035934 \cdot 10^{-84}:\\ \;\;\;\;t_2 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;y \leq -3.6035367067061283 \cdot 10^{-99}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -5.726387539019252 \cdot 10^{-232}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 6.493286416890518 \cdot 10^{-306}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;y \leq 4.7947734168751537 \cdot 10^{-150}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 3.9596823804155744 \cdot 10^{-133}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 2.180042925004415 \cdot 10^{-91}:\\ \;\;\;\;t_1 - t_4\\ \mathbf{elif}\;y \leq 7.6 \cdot 10^{+39}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+85}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{+106}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 10^{+137}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 9
Error	25.5
Cost	2664

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := t_1 - i \cdot \left(y \cdot j\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := y \cdot \left(i \cdot j\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := \left(t_5 - z \cdot \left(b \cdot c\right)\right) - t_4\\ \mathbf{if}\;x \leq -1 \cdot 10^{+42}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -2.0042453908874974 \cdot 10^{-56}:\\ \;\;\;\;t_5 + b \cdot \left(a \cdot i\right)\\ \mathbf{elif}\;x \leq -3.3569796950331233 \cdot 10^{-155}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -5.489611723846296 \cdot 10^{-186}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.5191776921410155 \cdot 10^{-280}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 1.7518923202761673 \cdot 10^{-200}:\\ \;\;\;\;t_1 - t_4\\ \mathbf{elif}\;x \leq 2.5258214333397136 \cdot 10^{-169}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 1.296927417937752 \cdot 10^{-99}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.7578358139660908 \cdot 10^{-86}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;x \leq 5.4 \cdot 10^{+42}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 10
Error	24.9
Cost	2664

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := t_1 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := y \cdot \left(i \cdot j\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_4 + b \cdot \left(a \cdot i\right)\\ t_6 := \left(t_4 - z \cdot \left(b \cdot c\right)\right) - t_3\\ t_7 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_8 := \left(t_7 + y \cdot \left(x \cdot z\right)\right) - t_3\\ \mathbf{if}\;x \leq -1 \cdot 10^{+42}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq -2.0042453908874974 \cdot 10^{-56}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -3.3569796950331233 \cdot 10^{-155}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.816213459441097 \cdot 10^{-183}:\\ \;\;\;\;t_7 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;x \leq -1.1757432896096872 \cdot 10^{-236}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ \mathbf{elif}\;x \leq 1.7518923202761673 \cdot 10^{-200}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq 2.5258214333397136 \cdot 10^{-169}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 3.7428368735596706 \cdot 10^{-96}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{+55}:\\ \;\;\;\;t_1 + \left(c \cdot \left(t \cdot j\right) - t_3\right)\\ \mathbf{elif}\;x \leq 10^{+70}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 11
Error	17.5
Cost	2524

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := y \cdot \left(i \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_5 := t_1 + \left(t_4 - a \cdot \left(x \cdot t\right)\right)\\ t_6 := j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{if}\;x \leq -8200000000000:\\ \;\;\;\;\left(t_3 + t_4\right) - t_2\\ \mathbf{elif}\;x \leq -1.878145515004052 \cdot 10^{-115}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -3.919217323911145 \cdot 10^{-137}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) + \left(t_1 - t_2\right)\\ \mathbf{elif}\;x \leq -5.126328252988434 \cdot 10^{-161}:\\ \;\;\;\;t_4 + t_6\\ \mathbf{elif}\;x \leq -4.4234442826021903 \cdot 10^{-181}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -1.1757432896096872 \cdot 10^{-236}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ \mathbf{elif}\;x \leq 3.7428368735596706 \cdot 10^{-96}:\\ \;\;\;\;t_6 + \left(t_4 + y \cdot \left(x \cdot z\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_6 + \left(t_3 - z \cdot \left(b \cdot c\right)\right)\\ \end{array} \]

Alternative 12
Error	34.3
Cost	2412

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right) - c \cdot \left(z \cdot b\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t_2 + j \cdot \left(t \cdot c\right)\\ t_4 := a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+86}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{+47}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.7383822811616761 \cdot 10^{-74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 8.180853954180874 \cdot 10^{-246}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.7950157354953925 \cdot 10^{-206}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 6.81809194748578 \cdot 10^{-115}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 8.67188027104715 \cdot 10^{-78}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 6.4022828088715945 \cdot 10^{-68}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 4.3193648931939176 \cdot 10^{-40}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.8331013694907354 \cdot 10^{-9}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 10^{+100}:\\ \;\;\;\;t_2 - i \cdot \left(y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 13
Error	32.0
Cost	2412

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t_2 + j \cdot \left(t \cdot c\right)\\ t_4 := i \cdot \left(y \cdot j\right)\\ t_5 := y \cdot \left(x \cdot z - i \cdot j\right) - c \cdot \left(z \cdot b\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right) + t_1\\ \mathbf{if}\;y \leq -1.46 \cdot 10^{+90}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{+45}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -1.1609723626035934 \cdot 10^{-84}:\\ \;\;\;\;t_2 - t_4\\ \mathbf{elif}\;y \leq -3.6035367067061283 \cdot 10^{-99}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq -5.726387539019252 \cdot 10^{-232}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 6.493286416890518 \cdot 10^{-306}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;y \leq 4.7947734168751537 \cdot 10^{-150}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 3.9596823804155744 \cdot 10^{-133}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 4.0452295910040595 \cdot 10^{-109}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq 3.283969862237744 \cdot 10^{-81}:\\ \;\;\;\;t_1 - t_4\\ \mathbf{elif}\;y \leq 7.6 \cdot 10^{+39}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 14
Error	30.3
Cost	2412

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right) + j \cdot \left(t \cdot c\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right) - c \cdot \left(z \cdot b\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i\right)\\ \mathbf{if}\;y \leq -1.46 \cdot 10^{+90}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{+45}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.1609723626035934 \cdot 10^{-84}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;y \leq -3.681786465220986 \cdot 10^{-117}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.0474687904438062 \cdot 10^{-239}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.1105413210085187 \cdot 10^{-266}:\\ \;\;\;\;a \cdot \left(t \cdot \left(-x\right)\right)\\ \mathbf{elif}\;y \leq 1.886690930300925 \cdot 10^{-104}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 7.6 \cdot 10^{+39}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+85}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{+106}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 10^{+137}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 15
Error	27.1
Cost	2404

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := t_1 - i \cdot \left(y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{if}\;x \leq -2.0042453908874974 \cdot 10^{-56}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq -3.3569796950331233 \cdot 10^{-155}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -5.489611723846296 \cdot 10^{-186}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.5191776921410155 \cdot 10^{-280}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.7518923202761673 \cdot 10^{-200}:\\ \;\;\;\;t_1 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;x \leq 2.5258214333397136 \cdot 10^{-169}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 1.296927417937752 \cdot 10^{-99}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 2.7578358139660908 \cdot 10^{-86}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{+55}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 16
Error	24.4
Cost	2400

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right) + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := y \cdot \left(i \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := \left(t_3 - z \cdot \left(b \cdot c\right)\right) - t_2\\ t_5 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_6 := \left(t_5 + y \cdot \left(x \cdot z\right)\right) - t_2\\ \mathbf{if}\;x \leq -1 \cdot 10^{+42}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -2.0042453908874974 \cdot 10^{-56}:\\ \;\;\;\;t_3 + b \cdot \left(a \cdot i\right)\\ \mathbf{elif}\;x \leq -3.3569796950331233 \cdot 10^{-155}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.816213459441097 \cdot 10^{-183}:\\ \;\;\;\;t_5 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;x \leq -1.1757432896096872 \cdot 10^{-236}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ \mathbf{elif}\;x \leq 1.7518923202761673 \cdot 10^{-200}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;x \leq 2.5258214333397136 \cdot 10^{-169}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.7428368735596706 \cdot 10^{-96}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 17
Error	23.8
Cost	2400

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := t_1 + j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right) + t_4\\ t_6 := y \cdot \left(i \cdot j\right)\\ t_7 := \left(t_4 + y \cdot \left(x \cdot z\right)\right) - t_6\\ \mathbf{if}\;x \leq -1.878145515004052 \cdot 10^{-115}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -8.913030991174483 \cdot 10^{-161}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -5.489611723846296 \cdot 10^{-186}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -4.453282786368346 \cdot 10^{-300}:\\ \;\;\;\;t_1 + \left(t_3 - i \cdot \left(y \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 1.7518923202761673 \cdot 10^{-200}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 2.5258214333397136 \cdot 10^{-169}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 3.7428368735596706 \cdot 10^{-96}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 7.2 \cdot 10^{+55}:\\ \;\;\;\;t_1 + \left(t_3 - t_6\right)\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 18
Error	24.8
Cost	2400

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := y \cdot \left(i \cdot j\right)\\ t_4 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_5 := t_1 + t_4\\ t_6 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_7 := t_2 + t_6\\ \mathbf{if}\;z \leq -1 \cdot 10^{+85}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -1 \cdot 10^{+49}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -1.7383822811616761 \cdot 10^{-74}:\\ \;\;\;\;t_1 + \left(c \cdot \left(t \cdot j\right) - t_3\right)\\ \mathbf{elif}\;z \leq -1.2668090652652932 \cdot 10^{-266}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 1.311811082741485 \cdot 10^{-303}:\\ \;\;\;\;t_6 + t_4\\ \mathbf{elif}\;z \leq 1.0338586644557074 \cdot 10^{-227}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 3.210241604783542 \cdot 10^{-173}:\\ \;\;\;\;\left(t_2 - z \cdot \left(b \cdot c\right)\right) - t_3\\ \mathbf{elif}\;z \leq 6.4022828088715945 \cdot 10^{-68}:\\ \;\;\;\;\left(t_6 + y \cdot \left(x \cdot z\right)\right) - t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 19
Error	18.5
Cost	2392

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := t_1 + \left(t_3 - z \cdot \left(b \cdot c\right)\right)\\ t_5 := \left(t_3 + t_2\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{if}\;b \leq -1 \cdot 10^{+85}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq -2.2185742184353446 \cdot 10^{-40}:\\ \;\;\;\;t_2 + \left(c \cdot \left(t \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -3.436266278874196 \cdot 10^{-167}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 6.351664565153122 \cdot 10^{-221}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 9.987808840376753 \cdot 10^{-193}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;b \leq 1.8237037649084998 \cdot 10^{-50}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2 + t_1\\ \end{array} \]

Alternative 20
Error	16.9
Cost	2392

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := t_1 + \left(t_3 - z \cdot \left(b \cdot c\right)\right)\\ t_5 := \left(t_3 + t_2\right) + t \cdot \left(c \cdot j\right)\\ \mathbf{if}\;b \leq -1 \cdot 10^{+85}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq -2.2185742184353446 \cdot 10^{-40}:\\ \;\;\;\;t_2 + \left(c \cdot \left(t \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -3.436266278874196 \cdot 10^{-167}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 6.351664565153122 \cdot 10^{-221}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 9.987808840376753 \cdot 10^{-193}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;b \leq 2.2345146554346167 \cdot 10^{-67}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(t_2 + y \cdot \left(x \cdot z\right)\right)\\ \end{array} \]

Alternative 21
Error	34.4
Cost	2148

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right) - c \cdot \left(z \cdot b\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_3 := t_2 + j \cdot \left(t \cdot c\right)\\ t_4 := a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+86}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{+47}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.7383822811616761 \cdot 10^{-74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 6.81809194748578 \cdot 10^{-115}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 8.67188027104715 \cdot 10^{-78}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 6.4022828088715945 \cdot 10^{-68}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 4.3193648931939176 \cdot 10^{-40}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.8331013694907354 \cdot 10^{-9}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 10^{+100}:\\ \;\;\;\;t_2 - i \cdot \left(y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 22
Error	17.0
Cost	2128

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + t_1\right) + t \cdot \left(c \cdot j\right)\\ t_3 := \left(t_1 + y \cdot \left(x \cdot z\right)\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;y \leq -1.46 \cdot 10^{+90}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 7.6 \cdot 10^{+39}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.4 \cdot 10^{+85}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;y \leq 3.3 \cdot 10^{+146}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 23
Error	29.9
Cost	2016

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(t \cdot c\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := t_3 + t_2\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i\right)\\ t_6 := i \cdot \left(y \cdot j\right)\\ \mathbf{if}\;x \leq -4.6018439721668197 \cdot 10^{-51}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -4.366301539847087 \cdot 10^{-248}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ \mathbf{elif}\;x \leq -1.8164927693067766 \cdot 10^{-289}:\\ \;\;\;\;t_3 - t_6\\ \mathbf{elif}\;x \leq 5.287348394613993 \cdot 10^{-293}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;x \leq 1.7518923202761673 \cdot 10^{-200}:\\ \;\;\;\;t_1 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;x \leq 4.1120229022362876 \cdot 10^{-171}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 3.7428368735596706 \cdot 10^{-96}:\\ \;\;\;\;t_1 - t_6\\ \mathbf{elif}\;x \leq 5.4 \cdot 10^{+42}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 24
Error	35.5
Cost	1884

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := t_1 + j \cdot \left(t \cdot c\right)\\ t_3 := a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+86}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{+47}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1700000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -5.250236605303053 \cdot 10^{-74}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 4.469473051800858 \cdot 10^{-109}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 8.67188027104715 \cdot 10^{-78}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;z \leq 6.4022828088715945 \cdot 10^{-68}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 25
Error	35.3
Cost	1884

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := t_1 + j \cdot \left(t \cdot c\right)\\ t_3 := a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+86}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{+47}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1700000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -5.250236605303053 \cdot 10^{-74}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 6.81809194748578 \cdot 10^{-115}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 8.67188027104715 \cdot 10^{-78}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq 6.4022828088715945 \cdot 10^{-68}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 26
Error	49.9
Cost	1704

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := \left(x \cdot t\right) \cdot \left(-a\right)\\ t_3 := z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+77}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.25 \cdot 10^{+49}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.12 \cdot 10^{+43}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -4500000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.7383822811616761 \cdot 10^{-74}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;z \leq 1.462261714903143 \cdot 10^{-261}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{elif}\;z \leq 1.9172186997841166 \cdot 10^{-134}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.5283770494540028 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{+44}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{+102}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 27
Error	49.8
Cost	1704

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := \left(x \cdot t\right) \cdot \left(-a\right)\\ t_3 := z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+77}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.25 \cdot 10^{+49}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.12 \cdot 10^{+43}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -4500000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.7383822811616761 \cdot 10^{-74}:\\ \;\;\;\;y \cdot \left(i \cdot \left(-j\right)\right)\\ \mathbf{elif}\;z \leq 1.462261714903143 \cdot 10^{-261}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{elif}\;z \leq 1.9172186997841166 \cdot 10^{-134}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.5283770494540028 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{+44}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{+102}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 28
Error	37.8
Cost	1628

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+86}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{+47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1700000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -5.250236605303053 \cdot 10^{-74}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 4.469473051800858 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 8.67188027104715 \cdot 10^{-78}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;z \leq 3.491202235597838 \cdot 10^{-60}:\\ \;\;\;\;j \cdot \left(t \cdot c\right) + b \cdot \left(a \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 29
Error	50.9
Cost	1572

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := x \cdot \left(t \cdot \left(-a\right)\right)\\ t_3 := c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{if}\;x \leq -1.55 \cdot 10^{+175}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;x \leq -3.2 \cdot 10^{+72}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -5.620921754381586 \cdot 10^{-65}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;x \leq -5.938396993577621 \cdot 10^{-86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -4.366301539847087 \cdot 10^{-248}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{elif}\;x \leq -5.960537128292655 \cdot 10^{-308}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 2.150732724433024 \cdot 10^{-194}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;x \leq 6.2 \cdot 10^{+20}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;x \leq 5.4 \cdot 10^{+42}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 30
Error	37.9
Cost	1500

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+86}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{+47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1700000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.7383822811616761 \cdot 10^{-74}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 4.469473051800858 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 8.67188027104715 \cdot 10^{-78}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;z \leq 3.491202235597838 \cdot 10^{-60}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 31
Error	37.7
Cost	1500

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+86}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{+47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1700000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.7383822811616761 \cdot 10^{-74}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 4.469473051800858 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 8.67188027104715 \cdot 10^{-78}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;z \leq 3.491202235597838 \cdot 10^{-60}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 32
Error	37.7
Cost	1500

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+86}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{+47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1700000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.7383822811616761 \cdot 10^{-74}:\\ \;\;\;\;b \cdot \left(a \cdot i\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;z \leq 4.469473051800858 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 8.67188027104715 \cdot 10^{-78}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;z \leq 3.491202235597838 \cdot 10^{-60}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 33
Error	37.7
Cost	1500

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_2 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.06 \cdot 10^{+86}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{+47}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1700000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -5.250236605303053 \cdot 10^{-74}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 4.469473051800858 \cdot 10^{-109}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 8.67188027104715 \cdot 10^{-78}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;z \leq 3.491202235597838 \cdot 10^{-60}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 34
Error	49.9
Cost	1440

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := z \cdot \left(b \cdot \left(-c\right)\right)\\ \mathbf{if}\;z \leq -1.12 \cdot 10^{+43}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -4500000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.7383822811616761 \cdot 10^{-74}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{elif}\;z \leq 1.462261714903143 \cdot 10^{-261}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{elif}\;z \leq 2.624582205024542 \cdot 10^{-200}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq 1.5283770494540028 \cdot 10^{-40}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{+44}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{elif}\;z \leq 1.7 \cdot 10^{+102}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 35
Error	42.4
Cost	1368

\[\begin{array}{l} t_1 := a \cdot \left(t \cdot \left(-x\right)\right)\\ t_2 := i \cdot \left(a \cdot b\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -1.902153796283939 \cdot 10^{-68}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -5.726387539019252 \cdot 10^{-232}:\\ \;\;\;\;z \cdot \left(c \cdot \left(-b\right)\right)\\ \mathbf{elif}\;y \leq -1.1105413210085187 \cdot 10^{-266}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 9.240891000002886 \cdot 10^{-239}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 6.364519611644648 \cdot 10^{-72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.8837167437530017 \cdot 10^{-20}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 36
Error	38.8
Cost	1368

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -1.1 \cdot 10^{+78}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{+47}:\\ \;\;\;\;\left(x \cdot t\right) \cdot \left(-a\right)\\ \mathbf{elif}\;z \leq -1700000000000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.462261714903143 \cdot 10^{-261}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;z \leq 2.624582205024542 \cdot 10^{-200}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right)\\ \mathbf{elif}\;z \leq 6.4022828088715945 \cdot 10^{-68}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 37
Error	50.2
Cost	1176

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := i \cdot \left(a \cdot b\right)\\ t_3 := i \cdot \left(y \cdot \left(-j\right)\right)\\ \mathbf{if}\;y \leq -3.5 \cdot 10^{+181}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.902153796283939 \cdot 10^{-68}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.613877272213627 \cdot 10^{-237}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.1105413210085187 \cdot 10^{-266}:\\ \;\;\;\;x \cdot \left(t \cdot \left(-a\right)\right)\\ \mathbf{elif}\;y \leq 6.280548585779185 \cdot 10^{-17}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{+142}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 38
Error	49.9
Cost	1112

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ t_3 := b \cdot \left(a \cdot i\right)\\ \mathbf{if}\;b \leq -2.2185742184353446 \cdot 10^{-40}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -3.5465014548094443 \cdot 10^{-290}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.5029923953435713 \cdot 10^{-249}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.7898189747775168 \cdot 10^{-110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.4 \cdot 10^{+36}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;b \leq 4 \cdot 10^{+136}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 39
Error	50.2
Cost	1112

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := a \cdot \left(b \cdot i\right)\\ t_3 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;b \leq -2.2185742184353446 \cdot 10^{-40}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{elif}\;b \leq -3.5465014548094443 \cdot 10^{-290}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 1.5029923953435713 \cdot 10^{-249}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 1.7898189747775168 \cdot 10^{-110}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 3.2 \cdot 10^{+65}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 4 \cdot 10^{+136}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 40
Error	40.4
Cost	1104

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -1.902153796283939 \cdot 10^{-68}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -5.726387539019252 \cdot 10^{-232}:\\ \;\;\;\;z \cdot \left(c \cdot \left(-b\right)\right)\\ \mathbf{elif}\;y \leq -1.1105413210085187 \cdot 10^{-266}:\\ \;\;\;\;a \cdot \left(t \cdot \left(-x\right)\right)\\ \mathbf{elif}\;y \leq 1.8837167437530017 \cdot 10^{-20}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 41
Error	50.7
Cost	1044

\[\begin{array}{l} t_1 := x \cdot \left(t \cdot \left(-a\right)\right)\\ \mathbf{if}\;x \leq -1.55 \cdot 10^{+175}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;x \leq -3.2 \cdot 10^{+72}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -5.620921754381586 \cdot 10^{-65}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;x \leq -5.938396993577621 \cdot 10^{-86}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;x \leq 1.16 \cdot 10^{+61}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 42
Error	52.2
Cost	848

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right)\\ t_2 := i \cdot \left(a \cdot b\right)\\ \mathbf{if}\;b \leq -1.0954344824104962 \cdot 10^{-158}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 2.040509023436694 \cdot 10^{-259}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 2.4 \cdot 10^{+36}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 5.9 \cdot 10^{+196}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 43
Error	49.4
Cost	584

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;y \leq -1.902153796283939 \cdot 10^{-68}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 6.280548585779185 \cdot 10^{-17}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 44
Error	53.6
Cost	320

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

Reproduce

herbie shell --seed 2022308 
(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)))))