Linear.Matrix:det33 from linear-1.19.1.3

Average Error: 12.1 → 5.6

Time: 1.3min

Precision: binary64

Cost: 19081

Math

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

↓

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := t \cdot c - y \cdot i\\ t_3 := j \cdot t_2 + t_1\\ \mathbf{if}\;t_3 \leq -\infty \lor \neg \left(t_3 \leq 5 \cdot 10^{+306}\right):\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;\mathsf{fma}\left(j, t_2, \mathsf{fma}\left(-y, i, y \cdot i\right) \cdot \left(j + j\right)\right) + t_1\\ \end{array} \]

FPCore

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

↓

(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1 (+ (* x (- (* y z) (* t a))) (* b (- (* a i) (* z c)))))
        (t_2 (- (* t c) (* y i)))
        (t_3 (+ (* j t_2) t_1)))
   (if (or (<= t_3 (- INFINITY)) (not (<= t_3 5e+306)))
     (+ (* y (- (* x z) (* i j))) (* c (- (* t j) (* z b))))
     (+ (fma j t_2 (* (fma (- y) i (* y i)) (+ j j))) t_1))))

C

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

↓

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = (x * ((y * z) - (t * a))) + (b * ((a * i) - (z * c)));
	double t_2 = (t * c) - (y * i);
	double t_3 = (j * t_2) + t_1;
	double tmp;
	if ((t_3 <= -((double) INFINITY)) || !(t_3 <= 5e+306)) {
		tmp = (y * ((x * z) - (i * j))) + (c * ((t * j) - (z * b)));
	} else {
		tmp = fma(j, t_2, (fma(-y, i, (y * i)) * (j + j))) + t_1;
	}
	return tmp;
}

Julia

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

↓

function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(Float64(x * Float64(Float64(y * z) - Float64(t * a))) + Float64(b * Float64(Float64(a * i) - Float64(z * c))))
	t_2 = Float64(Float64(t * c) - Float64(y * i))
	t_3 = Float64(Float64(j * t_2) + t_1)
	tmp = 0.0
	if ((t_3 <= Float64(-Inf)) || !(t_3 <= 5e+306))
		tmp = Float64(Float64(y * Float64(Float64(x * z) - Float64(i * j))) + Float64(c * Float64(Float64(t * j) - Float64(z * b))));
	else
		tmp = Float64(fma(j, t_2, Float64(fma(Float64(-y), i, Float64(y * i)) * Float64(j + j))) + t_1);
	end
	return tmp
end

Wolfram

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

↓

code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := Block[{t$95$1 = N[(N[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(a * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(j * t$95$2), $MachinePrecision] + t$95$1), $MachinePrecision]}, If[Or[LessEqual[t$95$3, (-Infinity)], N[Not[LessEqual[t$95$3, 5e+306]], $MachinePrecision]], N[(N[(y * N[(N[(x * z), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(t * j), $MachinePrecision] - N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(j * t$95$2 + N[(N[((-y) * i + N[(y * i), $MachinePrecision]), $MachinePrecision] * N[(j + j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]]]]]

Target

Original	12.1
Target	15.8
Herbie	5.6

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

Derivation

1. Split input into 2 regimes

2. if (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 i a)))) (*.f64 j (-.f64 (*.f64 c t) (*.f64 i y)))) < -inf.0 or 4.99999999999999993e306 < (+.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 63.6

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

   2. Simplified 63.6

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

      [Start] 63.6	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right) \]
      associate-+l- [=>] 63.6	\[ \color{blue}{x \cdot \left(y \cdot z - t \cdot a\right) - \left(b \cdot \left(c \cdot z - i \cdot a\right) - j \cdot \left(c \cdot t - i \cdot y\right)\right)} \]
      fma-neg [=>] 63.6	\[ \color{blue}{\mathsf{fma}\left(x, y \cdot z - t \cdot a, -\left(b \cdot \left(c \cdot z - i \cdot a\right) - j \cdot \left(c \cdot t - i \cdot y\right)\right)\right)} \]
      neg-sub0 [=>] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{0 - \left(b \cdot \left(c \cdot z - i \cdot a\right) - j \cdot \left(c \cdot t - i \cdot y\right)\right)}\right) \]
      associate-+l- [<=] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(0 - b \cdot \left(c \cdot z - i \cdot a\right)\right) + j \cdot \left(c \cdot t - i \cdot y\right)}\right) \]
      neg-sub0 [<=] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\left(-b \cdot \left(c \cdot z - i \cdot a\right)\right)} + j \cdot \left(c \cdot t - i \cdot y\right)\right) \]
      distribute-rgt-neg-in [=>] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{b \cdot \left(-\left(c \cdot z - i \cdot a\right)\right)} + j \cdot \left(c \cdot t - i \cdot y\right)\right) \]
      fma-def [=>] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \color{blue}{\mathsf{fma}\left(b, -\left(c \cdot z - i \cdot a\right), j \cdot \left(c \cdot t - i \cdot y\right)\right)}\right) \]
      sub-neg [=>] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, -\color{blue}{\left(c \cdot z + \left(-i \cdot a\right)\right)}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      distribute-neg-in [=>] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-c \cdot z\right) + \left(-\left(-i \cdot a\right)\right)}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      +-commutative [=>] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{\left(-\left(-i \cdot a\right)\right) + \left(-c \cdot z\right)}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      remove-double-neg [=>] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{i \cdot a} + \left(-c \cdot z\right), j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      sub-neg [<=] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{i \cdot a - c \cdot z}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      *-commutative [=>] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, \color{blue}{a \cdot i} - c \cdot z, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]
      *-commutative [=>] 63.6	\[ \mathsf{fma}\left(x, y \cdot z - t \cdot a, \mathsf{fma}\left(b, a \cdot i - \color{blue}{z \cdot c}, j \cdot \left(c \cdot t - i \cdot y\right)\right)\right) \]

   3. Taylor expanded in a around 0 44.4

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

   4. Taylor expanded in c around -inf 27.4

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

   5. Simplified 27.4

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

      [Start] 27.4	\[ -1 \cdot \left(c \cdot \left(-1 \cdot \left(t \cdot j\right) + b \cdot z\right)\right) + \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) \]
      +-commutative [=>] 27.4	\[ \color{blue}{\left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) + -1 \cdot \left(c \cdot \left(-1 \cdot \left(t \cdot j\right) + b \cdot z\right)\right)} \]
      mul-1-neg [=>] 27.4	\[ \left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) + \color{blue}{\left(-c \cdot \left(-1 \cdot \left(t \cdot j\right) + b \cdot z\right)\right)} \]
      unsub-neg [=>] 27.4	\[ \color{blue}{\left(-1 \cdot \left(y \cdot \left(i \cdot j\right)\right) + y \cdot \left(z \cdot x\right)\right) - c \cdot \left(-1 \cdot \left(t \cdot j\right) + b \cdot z\right)} \]

   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)))) < 4.99999999999999993e306

   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

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

   3. Simplified 0.8

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

      [Start] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \left(j \cdot \left(c \cdot t - i \cdot y\right) + \left(j \cdot \mathsf{fma}\left(-y, i, i \cdot y\right) + j \cdot \mathsf{fma}\left(-y, i, i \cdot y\right)\right)\right) \]
      distribute-lft-out [=>] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \left(j \cdot \left(c \cdot t - i \cdot y\right) + \color{blue}{j \cdot \left(\mathsf{fma}\left(-y, i, i \cdot y\right) + \mathsf{fma}\left(-y, i, i \cdot y\right)\right)}\right) \]
      distribute-rgt-out [<=] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \left(j \cdot \left(c \cdot t - i \cdot y\right) + \color{blue}{\left(\mathsf{fma}\left(-y, i, i \cdot y\right) \cdot j + \mathsf{fma}\left(-y, i, i \cdot y\right) \cdot j\right)}\right) \]
      fma-def [=>] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \color{blue}{\mathsf{fma}\left(j, c \cdot t - i \cdot y, \mathsf{fma}\left(-y, i, i \cdot y\right) \cdot j + \mathsf{fma}\left(-y, i, i \cdot y\right) \cdot j\right)} \]
      distribute-lft-out [=>] 0.8	\[ \left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - i \cdot a\right)\right) + \mathsf{fma}\left(j, c \cdot t - i \cdot y, \color{blue}{\mathsf{fma}\left(-y, i, i \cdot y\right) \cdot \left(j + j\right)}\right) \]

3. Recombined 2 regimes into one program.

4. Final simplification 5.6

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \cdot \left(t \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) \leq -\infty \lor \neg \left(j \cdot \left(t \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right) \leq 5 \cdot 10^{+306}\right):\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;\mathsf{fma}\left(j, t \cdot c - y \cdot i, \mathsf{fma}\left(-y, i, y \cdot i\right) \cdot \left(j + j\right)\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right)\\ \end{array} \]

Alternatives

Alternative 1
Error	5.6
Cost	12681

\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_3 := t_2 + t_1\\ \mathbf{if}\;t_3 \leq -\infty \lor \neg \left(t_3 \leq 5 \cdot 10^{+306}\right):\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;\left(j \cdot \mathsf{fma}\left(-y, i, y \cdot i\right) + t_2\right) + t_1\\ \end{array} \]

Alternative 2
Error	5.6
Cost	5705

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right) + \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(a \cdot i - z \cdot c\right)\right)\\ \mathbf{if}\;t_1 \leq -\infty \lor \neg \left(t_1 \leq 5 \cdot 10^{+306}\right):\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 3
Error	25.5
Cost	3064

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j - z \cdot b\right) + a \cdot \left(b \cdot i - x \cdot t\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_5 := t_2 - c \cdot \left(z \cdot b - t \cdot j\right)\\ t_6 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_7 := t_2 + t_6\\ t_8 := t_3 + t_6\\ \mathbf{if}\;z \leq -8.2 \cdot 10^{+208}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -2.36 \cdot 10^{+142}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -4.5 \cdot 10^{-71}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -1.4 \cdot 10^{-81}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -5.2 \cdot 10^{-164}:\\ \;\;\;\;t_3 + t_2\\ \mathbf{elif}\;z \leq -2.4 \cdot 10^{-208}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.8 \cdot 10^{-228}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right) + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;z \leq -1.5 \cdot 10^{-303}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 6.8 \cdot 10^{-252}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.05 \cdot 10^{-202}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 1.08 \cdot 10^{-113}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 3.25 \cdot 10^{-77}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq 1.26 \cdot 10^{-17}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{+107}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 6.6 \cdot 10^{+140}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 4
Error	38.2
Cost	2816

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := i \cdot \left(a \cdot b - y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_5 := c \cdot j - x \cdot a\\ t_6 := b \cdot i - x \cdot t\\ t_7 := b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{if}\;z \leq -1.2 \cdot 10^{+64}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -3.1 \cdot 10^{+49}:\\ \;\;\;\;\frac{a}{\frac{1}{t_6}}\\ \mathbf{elif}\;z \leq -8 \cdot 10^{-36}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.45 \cdot 10^{-81}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -2.6 \cdot 10^{-84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.5 \cdot 10^{-118}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -4.6 \cdot 10^{-160}:\\ \;\;\;\;t \cdot t_5\\ \mathbf{elif}\;z \leq -2.9 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-271}:\\ \;\;\;\;\frac{t}{\frac{1}{t_5}}\\ \mathbf{elif}\;z \leq -9.6 \cdot 10^{-304}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.55 \cdot 10^{-292}:\\ \;\;\;\;a \cdot t_6\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{-202}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 9 \cdot 10^{-195}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 8.6 \cdot 10^{-84}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 118000000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 10^{+78}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 5
Error	38.2
Cost	2816

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := i \cdot \left(a \cdot b - y \cdot j\right)\\ t_4 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_5 := c \cdot j - x \cdot a\\ t_6 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_7 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;z \leq -1.05 \cdot 10^{+64}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -7.5 \cdot 10^{+50}:\\ \;\;\;\;\frac{a}{\frac{1}{b \cdot i - x \cdot t}}\\ \mathbf{elif}\;z \leq -1.25 \cdot 10^{-35}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -6.4 \cdot 10^{-80}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{-84}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-120}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3.9 \cdot 10^{-160}:\\ \;\;\;\;t \cdot t_5\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{-231}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -9.6 \cdot 10^{-271}:\\ \;\;\;\;\frac{t}{\frac{1}{t_5}}\\ \mathbf{elif}\;z \leq -7.2 \cdot 10^{-304}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{-292}:\\ \;\;\;\;a \cdot \left(b \cdot i\right) - t_1\\ \mathbf{elif}\;z \leq 1.02 \cdot 10^{-202}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 1.4 \cdot 10^{-194}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{-78}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 2.05 \cdot 10^{+17}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq 1.2 \cdot 10^{+79}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - t_1\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 6
Error	38.3
Cost	2816

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := i \cdot \left(a \cdot b - y \cdot j\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_6 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_7 := c \cdot j - x \cdot a\\ \mathbf{if}\;z \leq -1.4 \cdot 10^{+67}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -1.6 \cdot 10^{+51}:\\ \;\;\;\;\frac{a}{\frac{1}{b \cdot i - x \cdot t}}\\ \mathbf{elif}\;z \leq -7 \cdot 10^{-33}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{-81}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -4.3 \cdot 10^{-84}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.9 \cdot 10^{-120}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -3 \cdot 10^{-160}:\\ \;\;\;\;t \cdot t_7\\ \mathbf{elif}\;z \leq -7.2 \cdot 10^{-232}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.2 \cdot 10^{-272}:\\ \;\;\;\;\frac{t}{\frac{1}{t_7}}\\ \mathbf{elif}\;z \leq -7.6 \cdot 10^{-304}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.8 \cdot 10^{-247}:\\ \;\;\;\;c \cdot \left(t \cdot j\right) - t_1\\ \mathbf{elif}\;z \leq 1.42 \cdot 10^{-200}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 9.2 \cdot 10^{-195}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-83}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 150000000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 10^{+78}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - t_1\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 7
Error	38.2
Cost	2816

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := i \cdot \left(a \cdot b - y \cdot j\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := c \cdot j - x \cdot a\\ t_6 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_7 := i \cdot \left(a \cdot b\right)\\ \mathbf{if}\;z \leq -2.4 \cdot 10^{+64}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -4.2 \cdot 10^{+50}:\\ \;\;\;\;\frac{a}{\frac{1}{b \cdot i - x \cdot t}}\\ \mathbf{elif}\;z \leq -1.55 \cdot 10^{-25}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.16 \cdot 10^{-79}:\\ \;\;\;\;t_7 - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;z \leq -1.4 \cdot 10^{-84}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -3.2 \cdot 10^{-121}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.4 \cdot 10^{-160}:\\ \;\;\;\;t \cdot t_5\\ \mathbf{elif}\;z \leq -2.95 \cdot 10^{-232}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -4.5 \cdot 10^{-271}:\\ \;\;\;\;\frac{t}{\frac{1}{t_5}}\\ \mathbf{elif}\;z \leq -7.2 \cdot 10^{-304}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 9.6 \cdot 10^{-248}:\\ \;\;\;\;c \cdot \left(t \cdot j\right) - t_1\\ \mathbf{elif}\;z \leq 2.35 \cdot 10^{-199}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.1 \cdot 10^{-194}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{-83}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{elif}\;z \leq 54000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 10^{+78}:\\ \;\;\;\;t_7 - t_1\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 8
Error	31.0
Cost	2801

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_3 := t_2 - c \cdot \left(z \cdot b\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_5 := j \cdot \left(t \cdot c - y \cdot i\right) + t_4\\ t_6 := b \cdot i - x \cdot t\\ \mathbf{if}\;a \leq -6.4 \cdot 10^{+69}:\\ \;\;\;\;a \cdot t_6\\ \mathbf{elif}\;a \leq -2.1 \cdot 10^{-117}:\\ \;\;\;\;t_4 + x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;a \leq -3.1 \cdot 10^{-148}:\\ \;\;\;\;t \cdot \left(c \cdot j - x \cdot a\right)\\ \mathbf{elif}\;a \leq -1.35 \cdot 10^{-205}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -1.32 \cdot 10^{-249}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 3.6 \cdot 10^{-278}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-260}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{-206}:\\ \;\;\;\;t_2 + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{-74}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 0.105:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4.1 \cdot 10^{+68} \lor \neg \left(a \leq 3.7 \cdot 10^{+218}\right):\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;\frac{a}{\frac{1}{t_6}}\\ \end{array} \]

Alternative 9
Error	38.1
Cost	2688

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := i \cdot \left(a \cdot b - y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_5 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_6 := t \cdot \left(c \cdot j - x \cdot a\right)\\ t_7 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -2.8 \cdot 10^{+65}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -2.5 \cdot 10^{+48}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.15 \cdot 10^{-33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -3.3 \cdot 10^{-80}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -4.6 \cdot 10^{-85}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -3.6 \cdot 10^{-121}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.15 \cdot 10^{-161}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -4.1 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.3 \cdot 10^{-270}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -7.2 \cdot 10^{-304}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 5 \cdot 10^{-292}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 10^{-202}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-194}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 2.1 \cdot 10^{-78}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 3.1 \cdot 10^{+18}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 5.1 \cdot 10^{+72}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 10
Error	38.2
Cost	2688

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := i \cdot \left(a \cdot b - y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := b \cdot i - x \cdot t\\ t_5 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_6 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_7 := t \cdot \left(c \cdot j - x \cdot a\right)\\ \mathbf{if}\;z \leq -1.85 \cdot 10^{+64}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -1.08 \cdot 10^{+51}:\\ \;\;\;\;\frac{a}{\frac{1}{t_4}}\\ \mathbf{elif}\;z \leq -3 \cdot 10^{-33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -5.4 \cdot 10^{-80}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq -4.5 \cdot 10^{-84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.5 \cdot 10^{-118}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2 \cdot 10^{-162}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -2.75 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -5.8 \cdot 10^{-274}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{-303}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 3.6 \cdot 10^{-291}:\\ \;\;\;\;a \cdot t_4\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{-202}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 9 \cdot 10^{-195}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.35 \cdot 10^{-81}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;z \leq 660000000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 4.3 \cdot 10^{+73}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \]

Alternative 11
Error	38.2
Cost	2688

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := i \cdot \left(a \cdot b - y \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := c \cdot j - x \cdot a\\ t_5 := b \cdot i - x \cdot t\\ t_6 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_7 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_8 := t \cdot t_4\\ \mathbf{if}\;z \leq -1.05 \cdot 10^{+64}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;z \leq -8.2 \cdot 10^{+47}:\\ \;\;\;\;\frac{a}{\frac{1}{t_5}}\\ \mathbf{elif}\;z \leq -7 \cdot 10^{-35}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -5.1 \cdot 10^{-79}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq -1.65 \cdot 10^{-84}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -5.2 \cdot 10^{-118}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -7.8 \cdot 10^{-163}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;z \leq -2.6 \cdot 10^{-232}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -2.9 \cdot 10^{-273}:\\ \;\;\;\;\frac{t}{\frac{1}{t_4}}\\ \mathbf{elif}\;z \leq -8 \cdot 10^{-304}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 7.5 \cdot 10^{-292}:\\ \;\;\;\;a \cdot t_5\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{-202}:\\ \;\;\;\;j \cdot \left(t \cdot c - y \cdot i\right)\\ \mathbf{elif}\;z \leq 1.3 \cdot 10^{-194}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 1.25 \cdot 10^{-81}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;z \leq 200000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq 3.25 \cdot 10^{+72}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]

Alternative 12
Error	34.4
Cost	2544

\[\begin{array}{l} t_1 := i \cdot \left(a \cdot b\right)\\ t_2 := y \cdot \left(x \cdot z - i \cdot j\right) + c \cdot \left(t \cdot j\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right) - t_3\\ t_5 := y \cdot \left(x \cdot z\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ t_6 := b \cdot \left(a \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z\right)\\ \mathbf{if}\;j \leq -1.75 \cdot 10^{+34}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;j \leq -2.52 \cdot 10^{-197}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -1.85 \cdot 10^{-264}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 2.2 \cdot 10^{-300}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq 1.15 \cdot 10^{-261}:\\ \;\;\;\;\frac{a}{\frac{1}{b \cdot i - x \cdot t}}\\ \mathbf{elif}\;j \leq 1.4 \cdot 10^{-222}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 5.6 \cdot 10^{-204}:\\ \;\;\;\;t_1 - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;j \leq 3 \cdot 10^{-176}:\\ \;\;\;\;t_1 - t_3\\ \mathbf{elif}\;j \leq 2.55 \cdot 10^{-61}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 2800:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 1.9 \cdot 10^{+78}:\\ \;\;\;\;i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{+118}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 13
Error	43.1
Cost	2424

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -7.2 \cdot 10^{+207}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -9 \cdot 10^{+140}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;z \leq -1.35 \cdot 10^{+63}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.02 \cdot 10^{+46}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.15 \cdot 10^{+21}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;z \leq -1.2 \cdot 10^{-119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2.35 \cdot 10^{-153}:\\ \;\;\;\;t \cdot \left(c \cdot j - x \cdot a\right)\\ \mathbf{elif}\;z \leq -8.2 \cdot 10^{-190}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -4.5 \cdot 10^{-239}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.05 \cdot 10^{-249}:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 5.9 \cdot 10^{-195}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.42 \cdot 10^{-83}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 1.02 \cdot 10^{-21}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.95 \cdot 10^{+108}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 14
Error	34.0
Cost	2412

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_4 := i \cdot \left(a \cdot b - y \cdot j\right)\\ \mathbf{if}\;z \leq -2.1 \cdot 10^{+64}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -2.5 \cdot 10^{+51}:\\ \;\;\;\;\frac{a}{\frac{1}{b \cdot i - x \cdot t}}\\ \mathbf{elif}\;z \leq -1.05 \cdot 10^{+21}:\\ \;\;\;\;y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{elif}\;z \leq -6.2 \cdot 10^{-82}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -8.5 \cdot 10^{-162}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.46 \cdot 10^{-229}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq -1.05 \cdot 10^{-271}:\\ \;\;\;\;\frac{t}{\frac{1}{c \cdot j - x \cdot a}}\\ \mathbf{elif}\;z \leq -1 \cdot 10^{-303}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;z \leq 3.2 \cdot 10^{-292}:\\ \;\;\;\;a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\\ \mathbf{elif}\;z \leq 8.2 \cdot 10^{-228}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 2.3 \cdot 10^{+147}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 15
Error	36.0
Cost	2288

\[\begin{array}{l} t_1 := a \cdot \left(x \cdot t\right)\\ t_2 := c \cdot \left(t \cdot j\right) - t_1\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_4 := b \cdot \left(a \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z\right)\\ \mathbf{if}\;y \leq -1.85 \cdot 10^{+92}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -4.7 \cdot 10^{+67}:\\ \;\;\;\;c \cdot \left(t \cdot j - z \cdot b\right)\\ \mathbf{elif}\;y \leq -5.5 \cdot 10^{-36}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{-141}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -2.55 \cdot 10^{-161}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -1.22 \cdot 10^{-167}:\\ \;\;\;\;\frac{t}{\frac{1}{c \cdot j - x \cdot a}}\\ \mathbf{elif}\;y \leq -1.25 \cdot 10^{-212}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;y \leq -3 \cdot 10^{-217}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 5.4 \cdot 10^{-248}:\\ \;\;\;\;i \cdot \left(a \cdot b\right) - t_1\\ \mathbf{elif}\;y \leq 4300000000:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 5 \cdot 10^{+66}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{+81}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 16
Error	32.4
Cost	2280

\[\begin{array}{l} t_1 := c \cdot \left(t \cdot j\right) - a \cdot \left(x \cdot t\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right) + x \cdot \left(y \cdot z\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;y \leq -1.1 \cdot 10^{+139}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.8 \cdot 10^{-38}:\\ \;\;\;\;y \cdot \left(x \cdot z\right) - j \cdot \left(y \cdot i - t \cdot c\right)\\ \mathbf{elif}\;y \leq -5.5 \cdot 10^{-48}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{-141}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -2.8 \cdot 10^{-161}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -2.3 \cdot 10^{-165}:\\ \;\;\;\;\frac{t}{\frac{1}{c \cdot j - x \cdot a}}\\ \mathbf{elif}\;y \leq -1.35 \cdot 10^{-212}:\\ \;\;\;\;a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;y \leq -6.5 \cdot 10^{-223}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -6.1 \cdot 10^{-248}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{+47}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 17
Error	21.1
Cost	2268

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := t_1 + \left(a \cdot \left(b \cdot i\right) - a \cdot \left(x \cdot t\right)\right)\\ t_3 := c \cdot \left(t \cdot j - z \cdot b\right)\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right) + t_3\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;y \leq -1.8 \cdot 10^{+49}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq -4.8 \cdot 10^{+14}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -2.8 \cdot 10^{-73}:\\ \;\;\;\;t_1 + t_5\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-193}:\\ \;\;\;\;t_3 + a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{-93}:\\ \;\;\;\;t_1 + b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 6200000000000:\\ \;\;\;\;t_5 - c \cdot \left(z \cdot b - t \cdot j\right)\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{+50}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 18
Error	23.8
Cost	2140

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_2 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_3 := j \cdot \left(t \cdot c - y \cdot i\right) + t_2\\ t_4 := c \cdot \left(t \cdot j - z \cdot b\right) + a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{if}\;y \leq -5 \cdot 10^{+44}:\\ \;\;\;\;t_1 + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;y \leq -1.45 \cdot 10^{-78}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) + t_2\\ \mathbf{elif}\;y \leq -1.55 \cdot 10^{-110}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{-188}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{-98}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 4.1 \cdot 10^{-35}:\\ \;\;\;\;t_2 + x \cdot \left(y \cdot z\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{+49}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_1 - c \cdot \left(z \cdot b\right)\\ \end{array} \]

Alternative 19
Error	23.5
Cost	2140

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right) + t_1\\ t_3 := c \cdot \left(t \cdot j - z \cdot b\right) + a \cdot \left(b \cdot i - x \cdot t\right)\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;y \leq -1.15 \cdot 10^{+44}:\\ \;\;\;\;t_4 + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;y \leq -2.1 \cdot 10^{-78}:\\ \;\;\;\;t_5 + t_1\\ \mathbf{elif}\;y \leq -1.04 \cdot 10^{-109}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{-192}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 6 \cdot 10^{-94}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 5.6 \cdot 10^{-67}:\\ \;\;\;\;t_5 - c \cdot \left(z \cdot b - t \cdot j\right)\\ \mathbf{elif}\;y \leq 1.55 \cdot 10^{+50}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4 - c \cdot \left(z \cdot b\right)\\ \end{array} \]

Alternative 20
Error	21.3
Cost	2140

\[\begin{array}{l} t_1 := j \cdot \left(t \cdot c - y \cdot i\right)\\ t_2 := c \cdot \left(t \cdot j - z \cdot b\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := t_2 + a \cdot \left(b \cdot i - x \cdot t\right)\\ t_5 := y \cdot \left(x \cdot z - i \cdot j\right) + t_2\\ t_6 := t_1 + b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{if}\;y \leq -2.2 \cdot 10^{+48}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -1.1 \cdot 10^{-52}:\\ \;\;\;\;t_1 + t_3\\ \mathbf{elif}\;y \leq -3.8 \cdot 10^{-74}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 1.26 \cdot 10^{-189}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 4.7 \cdot 10^{-94}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;y \leq 1.45 \cdot 10^{-67}:\\ \;\;\;\;t_3 - c \cdot \left(z \cdot b - t \cdot j\right)\\ \mathbf{elif}\;y \leq 2.45 \cdot 10^{+48}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]

Alternative 21
Error	25.1
Cost	2008

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := j \cdot \left(t \cdot c - y \cdot i\right) + t_1\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right) + t_1\\ t_4 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -1.48 \cdot 10^{+44}:\\ \;\;\;\;t_4 + c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;y \leq -5.8 \cdot 10^{-79}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -3.5 \cdot 10^{-113}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 3.1 \cdot 10^{-210}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-95}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 5 \cdot 10^{+51}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_4 - c \cdot \left(z \cdot b\right)\\ \end{array} \]

Alternative 22
Error	51.2
Cost	1772

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i\right)\\ t_2 := j \cdot \left(t \cdot c\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := a \cdot \left(b \cdot i\right)\\ \mathbf{if}\;j \leq -1.52 \cdot 10^{-89}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -2.35 \cdot 10^{-197}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -4.5 \cdot 10^{-226}:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{-219}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 1.15 \cdot 10^{-169}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;j \leq 4000:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{+101}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{+124}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 5.6 \cdot 10^{+141}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 7 \cdot 10^{+177}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.7 \cdot 10^{+283}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;t_4\\ \end{array} \]

Alternative 23
Error	37.9
Cost	1764

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - x \cdot t\right)\\ t_2 := c \cdot \left(t \cdot j - z \cdot b\right)\\ t_3 := y \cdot \left(x \cdot z - i \cdot j\right)\\ \mathbf{if}\;y \leq -6.2 \cdot 10^{+92}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -4.7 \cdot 10^{+67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -6.8 \cdot 10^{-27}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.5 \cdot 10^{-248}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{-220}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{-185}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 23000000:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{elif}\;y \leq 6.5 \cdot 10^{+56}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{+81}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 24
Error	39.6
Cost	1500

\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ t_2 := c \cdot \left(t \cdot j - z \cdot b\right)\\ t_3 := a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{if}\;a \leq -7.5 \cdot 10^{+62}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -4.2 \cdot 10^{-76}:\\ \;\;\;\;b \cdot \left(a \cdot i - z \cdot c\right)\\ \mathbf{elif}\;a \leq -1.04 \cdot 10^{-137}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 10^{-292}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-163}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;a \leq 1.12 \cdot 10^{-121}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-11}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]

Alternative 25
Error	50.8
Cost	1376

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ t_2 := b \cdot \left(a \cdot i\right)\\ t_3 := j \cdot \left(t \cdot c\right)\\ \mathbf{if}\;j \leq -9.5 \cdot 10^{-90}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -2.45 \cdot 10^{-197}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -1.5 \cdot 10^{-225}:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;j \leq 4.3 \cdot 10^{-219}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 8.5 \cdot 10^{-170}:\\ \;\;\;\;i \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;j \leq 4000:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq 7.5 \cdot 10^{+96}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \mathbf{elif}\;j \leq 3.45 \cdot 10^{+205}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 26
Error	49.7
Cost	1376

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;z \leq -1.15 \cdot 10^{-44}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq -1.85 \cdot 10^{-118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -2.6 \cdot 10^{-164}:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;z \leq 1.5 \cdot 10^{-292}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 4.8 \cdot 10^{-234}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;z \leq 2.02 \cdot 10^{-98}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 840000000000:\\ \;\;\;\;b \cdot \left(z \cdot \left(-c\right)\right)\\ \mathbf{elif}\;z \leq 1.05 \cdot 10^{+78}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 27
Error	41.9
Cost	1368

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i - z \cdot c\right)\\ t_2 := a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{if}\;a \leq -4 \cdot 10^{+61}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -4.6 \cdot 10^{-74}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -7.2 \cdot 10^{-146}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;a \leq -8.8 \cdot 10^{-244}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 6.5 \cdot 10^{-279}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \mathbf{elif}\;a \leq 5.1 \cdot 10^{-10}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 28
Error	49.7
Cost	1244

\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;a \leq -1.15 \cdot 10^{+110}:\\ \;\;\;\;a \cdot \left(-x \cdot t\right)\\ \mathbf{elif}\;a \leq -3.6 \cdot 10^{-45}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{elif}\;a \leq -2.6 \cdot 10^{-133}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;a \leq -1.05 \cdot 10^{-171}:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \mathbf{elif}\;a \leq -1.32 \cdot 10^{-249}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-280}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \mathbf{elif}\;a \leq 1600:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \end{array} \]

Alternative 29
Error	42.1
Cost	1236

\[\begin{array}{l} t_1 := a \cdot \left(b \cdot i - x \cdot t\right)\\ \mathbf{if}\;a \leq -6.6 \cdot 10^{-62}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.3 \cdot 10^{-134}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;a \leq -9.2 \cdot 10^{-244}:\\ \;\;\;\;\left(z \cdot b\right) \cdot \left(-c\right)\\ \mathbf{elif}\;a \leq 7.2 \cdot 10^{-280}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \mathbf{elif}\;a \leq 6.3 \cdot 10^{-10}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]

Alternative 30
Error	49.8
Cost	1112

\[\begin{array}{l} \mathbf{if}\;a \leq -4.6 \cdot 10^{+108}:\\ \;\;\;\;a \cdot \left(-x \cdot t\right)\\ \mathbf{elif}\;a \leq -8.6 \cdot 10^{-53}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{elif}\;a \leq -8 \cdot 10^{-132}:\\ \;\;\;\;z \cdot \left(x \cdot y\right)\\ \mathbf{elif}\;a \leq -8.8 \cdot 10^{-244}:\\ \;\;\;\;\left(z \cdot b\right) \cdot \left(-c\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-280}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \mathbf{elif}\;a \leq 320:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(b \cdot i\right)\\ \end{array} \]

Alternative 31
Error	49.5
Cost	848

\[\begin{array}{l} t_1 := b \cdot \left(a \cdot i\right)\\ t_2 := c \cdot \left(t \cdot j\right)\\ \mathbf{if}\;c \leq -7.5 \cdot 10^{-38}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.8 \cdot 10^{-151}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 6.4 \cdot 10^{+34}:\\ \;\;\;\;j \cdot \left(t \cdot c\right)\\ \mathbf{elif}\;c \leq 3.4 \cdot 10^{+93}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]

Alternative 32
Error	49.2
Cost	585

\[\begin{array}{l} \mathbf{if}\;c \leq -1.9 \cdot 10^{-40} \lor \neg \left(c \leq 1.4 \cdot 10^{-80}\right):\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \end{array} \]

Alternative 33
Error	49.9
Cost	584

\[\begin{array}{l} \mathbf{if}\;c \leq -4.8 \cdot 10^{-38}:\\ \;\;\;\;c \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;c \leq 2.15 \cdot 10^{-150}:\\ \;\;\;\;b \cdot \left(a \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(c \cdot j\right)\\ \end{array} \]

Alternative 34
Error	53.0
Cost	320

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

Alternative 35
Error	53.3
Cost	320

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

Reproduce

herbie shell --seed 2023016 
(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)))))