Average Error: 11.9 → 6.1
Time: 1.6min
Precision: binary64
Cost: 5704
\[\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right) \]
↓
\[\begin{array}{l} t_1 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{if}\;t_1 \leq -\infty:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;t_1 \leq 10^{+307}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) + a \cdot \left(c \cdot j - x \cdot t\right)\right) - c \cdot \left(z \cdot b\right)\\ \end{array} \]
(FPCore (x y z t a b c i j)
 :precision binary64
 (+
  (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* t i))))
  (* j (- (* c a) (* y i)))))
↓
(FPCore (x y z t a b c i j)
 :precision binary64
 (let* ((t_1
         (+
          (+ (* x (- (* y z) (* t a))) (* b (- (* t i) (* z c))))
          (* j (- (* a c) (* y i))))))
   (if (<= t_1 (- INFINITY))
     (- (* t (- (* b i) (* x a))) (* y (* i j)))
     (if (<= t_1 1e+307)
       t_1
       (- (+ (* y (* x z)) (* a (- (* c j) (* x t)))) (* c (* z b)))))))
double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	return ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + (j * ((c * a) - (y * i)));
}
↓
double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = ((x * ((y * z) - (t * a))) + (b * ((t * i) - (z * c)))) + (j * ((a * c) - (y * i)));
	double tmp;
	if (t_1 <= -((double) INFINITY)) {
		tmp = (t * ((b * i) - (x * a))) - (y * (i * j));
	} else if (t_1 <= 1e+307) {
		tmp = t_1;
	} else {
		tmp = ((y * (x * z)) + (a * ((c * j) - (x * t)))) - (c * (z * b));
	}
	return tmp;
}

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	return ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + (j * ((c * a) - (y * i)));
}
↓
public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j) {
	double t_1 = ((x * ((y * z) - (t * a))) + (b * ((t * i) - (z * c)))) + (j * ((a * c) - (y * i)));
	double tmp;
	if (t_1 <= -Double.POSITIVE_INFINITY) {
		tmp = (t * ((b * i) - (x * a))) - (y * (i * j));
	} else if (t_1 <= 1e+307) {
		tmp = t_1;
	} else {
		tmp = ((y * (x * z)) + (a * ((c * j) - (x * t)))) - (c * (z * b));
	}
	return tmp;
}

def code(x, y, z, t, a, b, c, i, j):
	return ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + (j * ((c * a) - (y * i)))
↓
def code(x, y, z, t, a, b, c, i, j):
	t_1 = ((x * ((y * z) - (t * a))) + (b * ((t * i) - (z * c)))) + (j * ((a * c) - (y * i)))
	tmp = 0
	if t_1 <= -math.inf:
		tmp = (t * ((b * i) - (x * a))) - (y * (i * j))
	elif t_1 <= 1e+307:
		tmp = t_1
	else:
		tmp = ((y * (x * z)) + (a * ((c * j) - (x * t)))) - (c * (z * b))
	return tmp

function code(x, y, z, t, a, b, c, i, j)
	return Float64(Float64(Float64(x * Float64(Float64(y * z) - Float64(t * a))) - Float64(b * Float64(Float64(c * z) - Float64(t * i)))) + Float64(j * Float64(Float64(c * a) - Float64(y * i))))
end
↓
function code(x, y, z, t, a, b, c, i, j)
	t_1 = Float64(Float64(Float64(x * Float64(Float64(y * z) - Float64(t * a))) + Float64(b * Float64(Float64(t * i) - Float64(z * c)))) + Float64(j * Float64(Float64(a * c) - Float64(y * i))))
	tmp = 0.0
	if (t_1 <= Float64(-Inf))
		tmp = Float64(Float64(t * Float64(Float64(b * i) - Float64(x * a))) - Float64(y * Float64(i * j)));
	elseif (t_1 <= 1e+307)
		tmp = t_1;
	else
		tmp = Float64(Float64(Float64(y * Float64(x * z)) + Float64(a * Float64(Float64(c * j) - Float64(x * t)))) - Float64(c * Float64(z * b)));
	end
	return tmp
end

function tmp = code(x, y, z, t, a, b, c, i, j)
	tmp = ((x * ((y * z) - (t * a))) - (b * ((c * z) - (t * i)))) + (j * ((c * a) - (y * i)));
end
↓
function tmp_2 = code(x, y, z, t, a, b, c, i, j)
	t_1 = ((x * ((y * z) - (t * a))) + (b * ((t * i) - (z * c)))) + (j * ((a * c) - (y * i)));
	tmp = 0.0;
	if (t_1 <= -Inf)
		tmp = (t * ((b * i) - (x * a))) - (y * (i * j));
	elseif (t_1 <= 1e+307)
		tmp = t_1;
	else
		tmp = ((y * (x * z)) + (a * ((c * j) - (x * t)))) - (c * (z * b));
	end
	tmp_2 = tmp;
end

code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := N[(N[(N[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(b * N[(N[(c * z), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(c * a), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]
↓
code[x_, y_, z_, t_, a_, b_, c_, i_, j_] := Block[{t$95$1 = N[(N[(N[(x * N[(N[(y * z), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * i), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(a * c), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$1, (-Infinity)], N[(N[(t * N[(N[(b * i), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t$95$1, 1e+307], t$95$1, N[(N[(N[(y * N[(x * z), $MachinePrecision]), $MachinePrecision] + N[(a * N[(N[(c * j), $MachinePrecision] - N[(x * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

\left(x \cdot \left(y \cdot z - t \cdot a\right) - b \cdot \left(c \cdot z - t \cdot i\right)\right) + j \cdot \left(c \cdot a - y \cdot i\right)
↓
\begin{array}{l}
t_1 := \left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\
\mathbf{if}\;t_1 \leq -\infty:\\
\;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) - y \cdot \left(i \cdot j\right)\\

\mathbf{elif}\;t_1 \leq 10^{+307}:\\
\;\;\;\;t_1\\

\mathbf{else}:\\
\;\;\;\;\left(y \cdot \left(x \cdot z\right) + a \cdot \left(c \cdot j - x \cdot t\right)\right) - c \cdot \left(z \cdot b\right)\\


\end{array}

Error

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original11.9
Target19.4
Herbie6.1
\[\begin{array}{l} \mathbf{if}\;x < -1.469694296777705 \cdot 10^{-64}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \frac{b \cdot \left({\left(c \cdot z\right)}^{2} - {\left(t \cdot i\right)}^{2}\right)}{c \cdot z + t \cdot i}\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \mathbf{elif}\;x < 3.2113527362226803 \cdot 10^{-147}:\\ \;\;\;\;\left(b \cdot i - x \cdot a\right) \cdot t - \left(z \cdot \left(c \cdot b\right) - j \cdot \left(c \cdot a - y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) - \frac{b \cdot \left({\left(c \cdot z\right)}^{2} - {\left(t \cdot i\right)}^{2}\right)}{c \cdot z + t \cdot i}\right) + j \cdot \left(c \cdot a - y \cdot i\right)\\ \end{array} \]

Derivation

  1. Split input into 3 regimes

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

    1. Initial program 64.0

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

    2. Taylor expanded in y around inf 51.1

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

    3. Taylor expanded in y around 0 38.9

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

    4. Simplified40.3

      \[\leadsto \left(\color{blue}{t \cdot \left(-a \cdot x\right)} - b \cdot \left(c \cdot z - t \cdot i\right)\right) + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right) \]
      Proof
      (*.f64 t (neg.f64 (*.f64 a x))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 t (*.f64 a x)))): 0 points increase in error, 0 points decrease in error
      (neg.f64 (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 t a) x))): 53 points increase in error, 51 points decrease in error
      (neg.f64 (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 a t)) x)): 0 points increase in error, 0 points decrease in error
      (neg.f64 (Rewrite<= associate-*r*_binary64 (*.f64 a (*.f64 t x)))): 48 points increase in error, 52 points decrease in error
      (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 a (*.f64 t x)))): 0 points increase in error, 0 points decrease in error

    5. Taylor expanded in c around 0 43.4

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

    6. Simplified43.4

      \[\leadsto \left(t \cdot \left(-a \cdot x\right) - b \cdot \color{blue}{\left(t \cdot \left(-i\right)\right)}\right) + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right) \]
      Proof
      (*.f64 t (neg.f64 i)): 0 points increase in error, 0 points decrease in error
      (Rewrite<= distribute-rgt-neg-in_binary64 (neg.f64 (*.f64 t i))): 0 points increase in error, 0 points decrease in error
      (neg.f64 (Rewrite<= *-commutative_binary64 (*.f64 i t))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 i t))): 0 points increase in error, 0 points decrease in error

    7. Taylor expanded in t around 0 35.6

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

    8. Simplified35.6

      \[\leadsto \color{blue}{t \cdot \left(i \cdot b - a \cdot x\right)} + -1 \cdot \left(y \cdot \left(i \cdot j\right)\right) \]
      Proof
      (*.f64 t (-.f64 (*.f64 i b) (*.f64 a x))): 0 points increase in error, 0 points decrease in error
      (*.f64 t (Rewrite<= unsub-neg_binary64 (+.f64 (*.f64 i b) (neg.f64 (*.f64 a x))))): 0 points increase in error, 0 points decrease in error
      (*.f64 t (+.f64 (*.f64 i b) (Rewrite<= mul-1-neg_binary64 (*.f64 -1 (*.f64 a x))))): 0 points increase in error, 0 points decrease in error
      (*.f64 t (Rewrite<= +-commutative_binary64 (+.f64 (*.f64 -1 (*.f64 a x)) (*.f64 i b)))): 0 points increase in error, 0 points decrease in error
      (*.f64 t (+.f64 (*.f64 -1 (*.f64 a x)) (Rewrite<= *-lft-identity_binary64 (*.f64 1 (*.f64 i b))))): 0 points increase in error, 0 points decrease in error
      (*.f64 t (+.f64 (*.f64 -1 (*.f64 a x)) (*.f64 (Rewrite<= metadata-eval (neg.f64 -1)) (*.f64 i b)))): 0 points increase in error, 0 points decrease in error
      (*.f64 t (Rewrite<= cancel-sign-sub-inv_binary64 (-.f64 (*.f64 -1 (*.f64 a x)) (*.f64 -1 (*.f64 i b))))): 0 points increase in error, 0 points decrease in error
      (Rewrite<= *-commutative_binary64 (*.f64 (-.f64 (*.f64 -1 (*.f64 a x)) (*.f64 -1 (*.f64 i b))) t)): 0 points increase in error, 0 points decrease in error

    if -inf.0 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i)))) < 9.99999999999999986e306

    1. Initial program 0.7

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

    if 9.99999999999999986e306 < (+.f64 (-.f64 (*.f64 x (-.f64 (*.f64 y z) (*.f64 t a))) (*.f64 b (-.f64 (*.f64 c z) (*.f64 t i)))) (*.f64 j (-.f64 (*.f64 c a) (*.f64 y i))))

    1. Initial program 63.2

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

    2. Taylor expanded in c around inf 51.7

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

    3. Taylor expanded in c around inf 42.0

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

    4. Simplified43.5

      \[\leadsto \left(x \cdot \left(y \cdot z - t \cdot a\right) - \color{blue}{z \cdot \left(c \cdot b\right)}\right) + c \cdot \left(a \cdot j\right) \]
      Proof
      (*.f64 z (*.f64 c b)): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-*l*_binary64 (*.f64 (*.f64 z c) b)): 51 points increase in error, 53 points decrease in error
      (*.f64 (Rewrite<= *-commutative_binary64 (*.f64 c z)) b): 0 points increase in error, 0 points decrease in error
      (Rewrite<= associate-*r*_binary64 (*.f64 c (*.f64 z b))): 54 points increase in error, 55 points decrease in error

    5. Taylor expanded in a around 0 26.9

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

  4. Final simplification6.1

    \[\leadsto \begin{array}{l} \mathbf{if}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \leq -\infty:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right) \leq 10^{+307}:\\ \;\;\;\;\left(x \cdot \left(y \cdot z - t \cdot a\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + j \cdot \left(a \cdot c - y \cdot i\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) + a \cdot \left(c \cdot j - x \cdot t\right)\right) - c \cdot \left(z \cdot b\right)\\ \end{array} \]

Alternatives

Alternative 1
Error19.8
Cost3316
\[\begin{array}{l} t_1 := y \cdot \left(i \cdot j\right)\\ t_2 := z \cdot \left(b \cdot c\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := t_4 + \left(t \cdot \left(b \cdot i\right) - t \cdot \left(x \cdot a\right)\right)\\ t_6 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_7 := \left(t_6 + t_3\right) + t_4\\ t_8 := a \cdot \left(x \cdot t\right)\\ t_9 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_10 := t_9 + \left(z \cdot \left(x \cdot y\right) + t_3\right)\\ t_11 := t_9 - \left(t_8 + t_2\right)\\ t_12 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;y \leq -4.5 \cdot 10^{+44}:\\ \;\;\;\;t_9 - \left(b \cdot \left(z \cdot c - t \cdot i\right) - t_12\right)\\ \mathbf{elif}\;y \leq -6.5 \cdot 10^{-22}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq -7.5 \cdot 10^{-26}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;y \leq -2.222216576583637 \cdot 10^{-103}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;y \leq -2.0413131989241286 \cdot 10^{-141}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq -1.652055180507163 \cdot 10^{-178}:\\ \;\;\;\;\left(t_6 - t_2\right) - t_1\\ \mathbf{elif}\;y \leq -8.930460669352034 \cdot 10^{-197}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq -9.819168617971175 \cdot 10^{-247}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;y \leq -3.164670246145788 \cdot 10^{-308}:\\ \;\;\;\;\left(t_3 - t_8\right) + j \cdot \left(a \cdot c\right)\\ \mathbf{elif}\;y \leq 5.2303090907877644 \cdot 10^{-285}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y \leq 2.567372286288239 \cdot 10^{-269}:\\ \;\;\;\;t_11\\ \mathbf{elif}\;y \leq 2.0696768576454238 \cdot 10^{-218}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;y \leq 10^{+130}:\\ \;\;\;\;t_10\\ \mathbf{else}:\\ \;\;\;\;\left(t_12 - t_2\right) + \left(t_4 - t_1\right)\\ \end{array} \]
Alternative 2
Error40.1
Cost3072
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t_1 - c \cdot \left(z \cdot b\right)\\ t_3 := i \cdot \left(t \cdot b\right) - y \cdot \left(i \cdot j\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;y \leq -2 \cdot 10^{+227}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;y \leq -2.05 \cdot 10^{+89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.4 \cdot 10^{+63}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -2.7 \cdot 10^{+33}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -8.930460669352034 \cdot 10^{-197}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) + t_1\\ \mathbf{elif}\;y \leq -1.4066508675339075 \cdot 10^{-284}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 7.664988350255698 \cdot 10^{-294}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 8.941790972280595 \cdot 10^{-210}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;y \leq 2.2373571104415503 \cdot 10^{-132}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 1.0608294308775793 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 7.609836913294044 \cdot 10^{-84}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 2.237105569131315 \cdot 10^{-73}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{+15}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;y \leq 9.6 \cdot 10^{+41}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3 \cdot 10^{+112}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{+205}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 3
Error39.9
Cost2808
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t_1 - c \cdot \left(z \cdot b\right)\\ t_3 := i \cdot \left(t \cdot b\right) - y \cdot \left(i \cdot j\right)\\ t_4 := c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{if}\;y \leq -2 \cdot 10^{+227}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{elif}\;y \leq -2.05 \cdot 10^{+89}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.0481754741630767 \cdot 10^{-212}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -1.4066508675339075 \cdot 10^{-284}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 7.664988350255698 \cdot 10^{-294}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 8.941790972280595 \cdot 10^{-210}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;y \leq 2.2373571104415503 \cdot 10^{-132}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 1.0608294308775793 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 7.609836913294044 \cdot 10^{-84}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 2.237105569131315 \cdot 10^{-73}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{+15}:\\ \;\;\;\;z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{elif}\;y \leq 9.6 \cdot 10^{+41}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 3 \cdot 10^{+112}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{+205}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 4
Error25.2
Cost2796
\[\begin{array}{l} t_1 := z \cdot \left(b \cdot c\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right) - t_1\\ t_3 := z \cdot \left(x \cdot y\right)\\ t_4 := c \cdot \left(z \cdot b\right)\\ t_5 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_7 := c \cdot \left(a \cdot j\right)\\ t_8 := y \cdot \left(x \cdot z\right)\\ t_9 := t_2 - y \cdot \left(i \cdot j\right)\\ t_10 := \left(t_3 + t_5\right) - j \cdot \left(y \cdot i\right)\\ \mathbf{if}\;a \leq -7 \cdot 10^{+66}:\\ \;\;\;\;\left(t_8 + a \cdot \left(c \cdot j - x \cdot t\right)\right) - t_4\\ \mathbf{elif}\;a \leq -3.2129670563894567 \cdot 10^{-93}:\\ \;\;\;\;t_6 + \left(t_3 + t \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -4.840408192824945 \cdot 10^{-114}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq -1.8298892511130803 \cdot 10^{-134}:\\ \;\;\;\;\left(t_8 + t_5\right) + t_7\\ \mathbf{elif}\;a \leq -5.513863633447217 \cdot 10^{-213}:\\ \;\;\;\;t_6 + \left(t_3 - t_4\right)\\ \mathbf{elif}\;a \leq -3.904767773331388 \cdot 10^{-240}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq 2.3602385766347913 \cdot 10^{-181}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;a \leq 6.707715052662101 \cdot 10^{-147}:\\ \;\;\;\;t_7 + t_2\\ \mathbf{elif}\;a \leq 2.6707705390630453 \cdot 10^{-92}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-35}:\\ \;\;\;\;t_7 + \left(t_5 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{+208}:\\ \;\;\;\;t_10\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right) - \left(a \cdot \left(x \cdot t\right) + t_1\right)\\ \end{array} \]
Alternative 5
Error24.7
Cost2796
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) - z \cdot \left(b \cdot c\right)\\ t_2 := z \cdot \left(x \cdot y\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_5 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_6 := c \cdot \left(a \cdot j\right)\\ t_7 := y \cdot \left(x \cdot z\right)\\ t_8 := t_1 - y \cdot \left(i \cdot j\right)\\ t_9 := \left(t_2 + t_4\right) - j \cdot \left(y \cdot i\right)\\ \mathbf{if}\;a \leq -7 \cdot 10^{+66}:\\ \;\;\;\;\left(t_7 + a \cdot \left(c \cdot j - x \cdot t\right)\right) - t_3\\ \mathbf{elif}\;a \leq -3.2129670563894567 \cdot 10^{-93}:\\ \;\;\;\;t_5 + \left(t_2 + t \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -4.840408192824945 \cdot 10^{-114}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq -1.8298892511130803 \cdot 10^{-134}:\\ \;\;\;\;\left(t_7 + t_4\right) + t_6\\ \mathbf{elif}\;a \leq -5.513863633447217 \cdot 10^{-213}:\\ \;\;\;\;t_5 + \left(t_2 - t_3\right)\\ \mathbf{elif}\;a \leq -3.904767773331388 \cdot 10^{-240}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;a \leq 2.3602385766347913 \cdot 10^{-181}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq 6.707715052662101 \cdot 10^{-147}:\\ \;\;\;\;t_6 + t_1\\ \mathbf{elif}\;a \leq 2.6707705390630453 \cdot 10^{-92}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-35}:\\ \;\;\;\;t_6 + \left(t_4 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 9 \cdot 10^{+214}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;\left(t_4 - a \cdot \left(x \cdot t\right)\right) + j \cdot \left(a \cdot c\right)\\ \end{array} \]
Alternative 6
Error24.6
Cost2796
\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right) - z \cdot \left(b \cdot c\right)\\ t_5 := t_1 + t_3\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_7 := c \cdot \left(a \cdot j\right)\\ t_8 := y \cdot \left(x \cdot z\right)\\ t_9 := t_4 - y \cdot \left(i \cdot j\right)\\ t_10 := t_5 - j \cdot \left(y \cdot i\right)\\ \mathbf{if}\;a \leq -7 \cdot 10^{+66}:\\ \;\;\;\;\left(t_8 + a \cdot \left(c \cdot j - x \cdot t\right)\right) - t_2\\ \mathbf{elif}\;a \leq -3.2129670563894567 \cdot 10^{-93}:\\ \;\;\;\;t_6 + \left(t_1 + t \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -4.840408192824945 \cdot 10^{-114}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq -1.8298892511130803 \cdot 10^{-134}:\\ \;\;\;\;\left(t_8 + t_3\right) + t_7\\ \mathbf{elif}\;a \leq -5.513863633447217 \cdot 10^{-213}:\\ \;\;\;\;t_6 + \left(t_1 - t_2\right)\\ \mathbf{elif}\;a \leq -3.904767773331388 \cdot 10^{-240}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq 2.3602385766347913 \cdot 10^{-181}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;a \leq 6.707715052662101 \cdot 10^{-147}:\\ \;\;\;\;t_7 + t_4\\ \mathbf{elif}\;a \leq 2.6707705390630453 \cdot 10^{-92}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-35}:\\ \;\;\;\;t_7 + \left(t_3 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 9 \cdot 10^{+214}:\\ \;\;\;\;t_5 - i \cdot \left(y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t_3 - a \cdot \left(x \cdot t\right)\right) + j \cdot \left(a \cdot c\right)\\ \end{array} \]
Alternative 7
Error24.8
Cost2796
\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right) - z \cdot \left(b \cdot c\right)\\ t_5 := t_1 + t_3\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_7 := c \cdot \left(a \cdot j\right)\\ t_8 := y \cdot \left(x \cdot z\right)\\ t_9 := t_4 - y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;a \leq -7 \cdot 10^{+66}:\\ \;\;\;\;\left(t_8 + a \cdot \left(c \cdot j - x \cdot t\right)\right) - t_2\\ \mathbf{elif}\;a \leq -3.2129670563894567 \cdot 10^{-93}:\\ \;\;\;\;t_6 + \left(t_1 + t \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -4.840408192824945 \cdot 10^{-114}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq -1.8298892511130803 \cdot 10^{-134}:\\ \;\;\;\;\left(t_8 + t_3\right) + t_7\\ \mathbf{elif}\;a \leq -5.513863633447217 \cdot 10^{-213}:\\ \;\;\;\;t_6 + \left(t_1 - t_2\right)\\ \mathbf{elif}\;a \leq -3.904767773331388 \cdot 10^{-240}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq 2.3602385766347913 \cdot 10^{-181}:\\ \;\;\;\;t_5 - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;a \leq 6.707715052662101 \cdot 10^{-147}:\\ \;\;\;\;t_7 + t_4\\ \mathbf{elif}\;a \leq 2.6707705390630453 \cdot 10^{-92}:\\ \;\;\;\;t_6 + \left(t_1 + i \cdot \left(t \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-35}:\\ \;\;\;\;t_7 + \left(t_3 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 9 \cdot 10^{+214}:\\ \;\;\;\;t_5 - i \cdot \left(y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t_3 - a \cdot \left(x \cdot t\right)\right) + j \cdot \left(a \cdot c\right)\\ \end{array} \]
Alternative 8
Error24.7
Cost2796
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right) - z \cdot \left(b \cdot c\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := y \cdot \left(i \cdot j\right)\\ t_5 := z \cdot \left(x \cdot y\right)\\ t_6 := c \cdot \left(z \cdot b\right)\\ t_7 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_8 := t_5 + t_7\\ t_9 := y \cdot \left(x \cdot z\right)\\ t_10 := t_1 - t_4\\ \mathbf{if}\;a \leq -7 \cdot 10^{+66}:\\ \;\;\;\;\left(t_9 + a \cdot \left(c \cdot j - x \cdot t\right)\right) - t_6\\ \mathbf{elif}\;a \leq -3.2129670563894567 \cdot 10^{-93}:\\ \;\;\;\;t_2 + \left(t_5 + t \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -4.840408192824945 \cdot 10^{-114}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;a \leq -1.8298892511130803 \cdot 10^{-134}:\\ \;\;\;\;\left(t_9 + t_7\right) - t_4\\ \mathbf{elif}\;a \leq -4.194834399082856 \cdot 10^{-156}:\\ \;\;\;\;t_2 + \left(t_5 - t_6\right)\\ \mathbf{elif}\;a \leq -3.904767773331388 \cdot 10^{-240}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;a \leq 2.3602385766347913 \cdot 10^{-181}:\\ \;\;\;\;t_8 - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;a \leq 6.707715052662101 \cdot 10^{-147}:\\ \;\;\;\;t_3 + t_1\\ \mathbf{elif}\;a \leq 2.6707705390630453 \cdot 10^{-92}:\\ \;\;\;\;t_2 + \left(t_5 + i \cdot \left(t \cdot b\right)\right)\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-35}:\\ \;\;\;\;t_3 + \left(t_7 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 9 \cdot 10^{+214}:\\ \;\;\;\;t_8 - i \cdot \left(y \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t_7 - a \cdot \left(x \cdot t\right)\right) + j \cdot \left(a \cdot c\right)\\ \end{array} \]
Alternative 9
Error23.8
Cost2664
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := y \cdot \left(i \cdot j\right)\\ t_3 := t \cdot \left(x \cdot a\right)\\ t_4 := z \cdot \left(x \cdot y\right)\\ t_5 := t \cdot \left(b \cdot i\right)\\ t_6 := t_4 + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_7 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_8 := t_7 + \left(t_4 + t_5\right)\\ t_9 := t_6 + t_1\\ \mathbf{if}\;t \leq -6.6 \cdot 10^{+241}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -6.1 \cdot 10^{+160}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) - t_2\\ \mathbf{elif}\;t \leq -3.4 \cdot 10^{+118}:\\ \;\;\;\;t_7 + \left(t_4 - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq -8 \cdot 10^{+88}:\\ \;\;\;\;\left(z \cdot \left(c \cdot \left(-b\right)\right) - t_3\right) - t_2\\ \mathbf{elif}\;t \leq -1.76158018970871 \cdot 10^{-29}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -6.700121087229884 \cdot 10^{-147}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq 4.714292344364584 \cdot 10^{-104}:\\ \;\;\;\;t_7 + \left(t_4 - b \cdot \left(z \cdot c\right)\right)\\ \mathbf{elif}\;t \leq 1.1 \cdot 10^{+28}:\\ \;\;\;\;t_6 - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;t \leq 1.9 \cdot 10^{+81}:\\ \;\;\;\;i \cdot \left(y \cdot \left(-j\right)\right) - \left(a \cdot \left(x \cdot t\right) + z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;t \leq 1.85 \cdot 10^{+130}:\\ \;\;\;\;t_9\\ \mathbf{else}:\\ \;\;\;\;t_1 + \left(t_5 - t_3\right)\\ \end{array} \]
Alternative 10
Error23.5
Cost2664
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := y \cdot \left(i \cdot j\right)\\ t_3 := t \cdot \left(x \cdot a\right)\\ t_4 := z \cdot \left(x \cdot y\right)\\ t_5 := t_4 + t_1\\ t_6 := t \cdot \left(b \cdot i\right)\\ t_7 := c \cdot \left(a \cdot j\right)\\ t_8 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_9 := t_8 + \left(t_4 + t_6\right)\\ t_10 := t_7 + \left(t_1 - t_3\right)\\ \mathbf{if}\;t \leq -6.6 \cdot 10^{+241}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq -6.1 \cdot 10^{+160}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) - t_2\\ \mathbf{elif}\;t \leq -3.4 \cdot 10^{+118}:\\ \;\;\;\;t_8 + \left(t_4 - c \cdot \left(z \cdot b\right)\right)\\ \mathbf{elif}\;t \leq -8 \cdot 10^{+88}:\\ \;\;\;\;\left(z \cdot \left(c \cdot \left(-b\right)\right) - t_3\right) - t_2\\ \mathbf{elif}\;t \leq -2.7487943343831955 \cdot 10^{-50}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;t \leq -5.402256918791374 \cdot 10^{-159}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq 4.714292344364584 \cdot 10^{-104}:\\ \;\;\;\;t_8 + \left(t_4 - b \cdot \left(z \cdot c\right)\right)\\ \mathbf{elif}\;t \leq 14500000000000:\\ \;\;\;\;t_5 - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;t \leq 1.9 \cdot 10^{+81}:\\ \;\;\;\;t_10\\ \mathbf{elif}\;t \leq 1.85 \cdot 10^{+130}:\\ \;\;\;\;t_5 + t_7\\ \mathbf{else}:\\ \;\;\;\;t_7 + \left(t_6 - t_3\right)\\ \end{array} \]
Alternative 11
Error34.8
Cost2544
\[\begin{array}{l} t_1 := t \cdot \left(x \cdot a\right)\\ t_2 := y \cdot \left(i \cdot j\right)\\ t_3 := c \cdot \left(a \cdot j\right)\\ t_4 := c \cdot \left(z \cdot b\right)\\ t_5 := \left(y \cdot \left(x \cdot z\right) + t_3\right) - t_4\\ t_6 := t \cdot \left(b \cdot i - x \cdot a\right) - t_2\\ \mathbf{if}\;a \leq -1 \cdot 10^{+115}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;a \leq -1.1805487706720916 \cdot 10^{-84}:\\ \;\;\;\;t_3 + \left(t \cdot \left(b \cdot i\right) - t_1\right)\\ \mathbf{elif}\;a \leq -4.840408192824945 \cdot 10^{-114}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) - t_4\\ \mathbf{elif}\;a \leq -3.6657252578498314 \cdot 10^{-129}:\\ \;\;\;\;t_3 + \left(b \cdot \left(t \cdot i\right) - t_1\right)\\ \mathbf{elif}\;a \leq -1.407611446608354 \cdot 10^{-218}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -1.5074831721174668 \cdot 10^{-282}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;a \leq 8.702828487894688 \cdot 10^{-249}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 2.4318346227738624 \cdot 10^{-213}:\\ \;\;\;\;\left(z \cdot \left(c \cdot \left(-b\right)\right) - t_1\right) - t_2\\ \mathbf{elif}\;a \leq 6.707715052662101 \cdot 10^{-147}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 1.1797539289833686 \cdot 10^{-84}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - t_2\\ \mathbf{elif}\;a \leq 3.7 \cdot 10^{+31}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 6.8 \cdot 10^{+224}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(-x\right)\right)\\ \end{array} \]
Alternative 12
Error32.6
Cost2540
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := \left(y \cdot \left(x \cdot z\right) + t_1\right) - t_2\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right) - y \cdot \left(i \cdot j\right)\\ t_6 := t_4 - t_2\\ \mathbf{if}\;i \leq -2.458421803759554 \cdot 10^{-95}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -5.9155745913485057 \cdot 10^{-123}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -1.0292547281795109 \cdot 10^{-153}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -9.438419159350121 \cdot 10^{-185}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -7.011657053326343 \cdot 10^{-246}:\\ \;\;\;\;t_1 + t_4\\ \mathbf{elif}\;i \leq 2.383272541007581 \cdot 10^{-290}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 1.649725394436176 \cdot 10^{-185}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 5.23007267415348 \cdot 10^{-138}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 2.7221804622795805 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 5.95957514772179 \cdot 10^{-36}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 1.8 \cdot 10^{+133}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 13
Error24.9
Cost2532
\[\begin{array}{l} t_1 := t \cdot \left(x \cdot a\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := z \cdot \left(x \cdot y\right)\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right) + \left(t_5 - t_3\right)\\ t_7 := \left(t_5 + b \cdot \left(t \cdot i - z \cdot c\right)\right) + t_4\\ \mathbf{if}\;b \leq -80000000:\\ \;\;\;\;t_7\\ \mathbf{elif}\;b \leq -4.648134905423163 \cdot 10^{-179}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq -6.147856636764726 \cdot 10^{-212}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) - t_3\\ \mathbf{elif}\;b \leq -1.1047101142596792 \cdot 10^{-215}:\\ \;\;\;\;t_2 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;b \leq -3.515435246707195 \cdot 10^{-250}:\\ \;\;\;\;\left(b \cdot \left(t \cdot i\right) - t_1\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;b \leq 7.0876198267375024 \cdot 10^{-307}:\\ \;\;\;\;t_4 + \left(t \cdot \left(b \cdot i\right) - t_1\right)\\ \mathbf{elif}\;b \leq 3.950767941803849 \cdot 10^{-166}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq 2.085854468386045 \cdot 10^{-137}:\\ \;\;\;\;t_4 + \left(t_2 - t_1\right)\\ \mathbf{elif}\;b \leq 5.4664896887684124 \cdot 10^{-120}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_7\\ \end{array} \]
Alternative 14
Error24.4
Cost2532
\[\begin{array}{l} t_1 := t \cdot \left(x \cdot a\right)\\ t_2 := i \cdot \left(t \cdot b\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_6 := z \cdot \left(x \cdot y\right)\\ t_7 := j \cdot \left(a \cdot c - y \cdot i\right) + \left(t_6 - t_3\right)\\ t_8 := \left(t_6 + b \cdot \left(t \cdot i - z \cdot c\right)\right) + t_4\\ \mathbf{if}\;b \leq -80000000:\\ \;\;\;\;t_8\\ \mathbf{elif}\;b \leq -4.648134905423163 \cdot 10^{-179}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;b \leq -6.147856636764726 \cdot 10^{-212}:\\ \;\;\;\;t_5 - t_3\\ \mathbf{elif}\;b \leq -1.1047101142596792 \cdot 10^{-215}:\\ \;\;\;\;t_2 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;b \leq -3.515435246707195 \cdot 10^{-250}:\\ \;\;\;\;\left(b \cdot \left(t \cdot i\right) - t_1\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;b \leq -6.415888503239518 \cdot 10^{-291}:\\ \;\;\;\;t_4 + \left(t_5 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;b \leq 3.950767941803849 \cdot 10^{-166}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;b \leq 2.085854468386045 \cdot 10^{-137}:\\ \;\;\;\;t_4 + \left(t_2 - t_1\right)\\ \mathbf{elif}\;b \leq 5.4664896887684124 \cdot 10^{-120}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;t_8\\ \end{array} \]
Alternative 15
Error24.4
Cost2532
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := t \cdot \left(x \cdot a\right)\\ t_6 := z \cdot \left(x \cdot y\right)\\ t_7 := j \cdot \left(a \cdot c - y \cdot i\right) + \left(t_6 - t_3\right)\\ t_8 := i \cdot \left(t \cdot b\right)\\ \mathbf{if}\;b \leq -80000000:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) + t_2\right) + t_4\\ \mathbf{elif}\;b \leq -4.648134905423163 \cdot 10^{-179}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;b \leq -6.147856636764726 \cdot 10^{-212}:\\ \;\;\;\;t_1 - t_3\\ \mathbf{elif}\;b \leq -1.1047101142596792 \cdot 10^{-215}:\\ \;\;\;\;t_8 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;b \leq -3.515435246707195 \cdot 10^{-250}:\\ \;\;\;\;\left(b \cdot \left(t \cdot i\right) - t_5\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;b \leq -6.415888503239518 \cdot 10^{-291}:\\ \;\;\;\;t_4 + \left(t_1 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;b \leq 3.950767941803849 \cdot 10^{-166}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;b \leq 2.085854468386045 \cdot 10^{-137}:\\ \;\;\;\;t_4 + \left(t_8 - t_5\right)\\ \mathbf{elif}\;b \leq 5.4664896887684124 \cdot 10^{-120}:\\ \;\;\;\;t_7\\ \mathbf{else}:\\ \;\;\;\;\left(t_6 + t_2\right) + t_4\\ \end{array} \]
Alternative 16
Error24.3
Cost2532
\[\begin{array}{l} t_1 := i \cdot \left(t \cdot b\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := c \cdot \left(a \cdot j\right)\\ t_5 := z \cdot \left(x \cdot y\right)\\ t_6 := j \cdot \left(a \cdot c - y \cdot i\right) + \left(t_5 - t_3\right)\\ t_7 := t_5 + b \cdot \left(t \cdot i - z \cdot c\right)\\ t_8 := t \cdot \left(x \cdot a\right)\\ \mathbf{if}\;b \leq -7.6 \cdot 10^{+14}:\\ \;\;\;\;t_7 - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;b \leq -4.648134905423163 \cdot 10^{-179}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq -6.147856636764726 \cdot 10^{-212}:\\ \;\;\;\;t_2 - t_3\\ \mathbf{elif}\;b \leq -1.1047101142596792 \cdot 10^{-215}:\\ \;\;\;\;t_1 - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;b \leq -3.515435246707195 \cdot 10^{-250}:\\ \;\;\;\;\left(b \cdot \left(t \cdot i\right) - t_8\right) - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;b \leq -6.415888503239518 \cdot 10^{-291}:\\ \;\;\;\;t_4 + \left(t_2 - z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;b \leq 3.950767941803849 \cdot 10^{-166}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;b \leq 2.085854468386045 \cdot 10^{-137}:\\ \;\;\;\;t_4 + \left(t_1 - t_8\right)\\ \mathbf{elif}\;b \leq 5.4664896887684124 \cdot 10^{-120}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_7 + t_4\\ \end{array} \]
Alternative 17
Error24.3
Cost2532
\[\begin{array}{l} t_1 := y \cdot \left(i \cdot j\right)\\ t_2 := t \cdot \left(x \cdot a\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := c \cdot \left(a \cdot j\right)\\ t_6 := t \cdot \left(b \cdot i - x \cdot a\right) - t_1\\ t_7 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_8 := t_4 + \left(t_3 + t \cdot \left(b \cdot i\right)\right)\\ t_9 := c \cdot \left(z \cdot b\right)\\ \mathbf{if}\;t \leq -6.6 \cdot 10^{+241}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -6.1 \cdot 10^{+160}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -3.4 \cdot 10^{+118}:\\ \;\;\;\;t_4 + \left(t_3 - t_9\right)\\ \mathbf{elif}\;t \leq -8 \cdot 10^{+88}:\\ \;\;\;\;\left(z \cdot \left(c \cdot \left(-b\right)\right) - t_2\right) - t_1\\ \mathbf{elif}\;t \leq -2.7487943343831955 \cdot 10^{-50}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -5.402256918791374 \cdot 10^{-159}:\\ \;\;\;\;t_5 + \left(t_7 - t_2\right)\\ \mathbf{elif}\;t \leq 4.714292344364584 \cdot 10^{-104}:\\ \;\;\;\;t_4 + \left(t_3 - b \cdot \left(z \cdot c\right)\right)\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{+54}:\\ \;\;\;\;\left(t_3 + t_7\right) - j \cdot \left(y \cdot i\right)\\ \mathbf{elif}\;t \leq 7.2 \cdot 10^{+131}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) + a \cdot \left(c \cdot j - x \cdot t\right)\right) - t_9\\ \mathbf{elif}\;t \leq 10^{+220}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t_5 + \left(i \cdot \left(t \cdot b\right) - t_2\right)\\ \end{array} \]
Alternative 18
Error18.3
Cost2524
\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_5 := t_4 + \left(t_1 + t_3\right)\\ t_6 := y \cdot \left(i \cdot j\right)\\ t_7 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_8 := \left(t_7 + t_3\right) + t_2\\ \mathbf{if}\;t \leq -6.6 \cdot 10^{+241}:\\ \;\;\;\;t_4 + \left(t_1 + t \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;t \leq -6.1 \cdot 10^{+160}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) - t_6\\ \mathbf{elif}\;t \leq -0.007:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq -5.402256918791374 \cdot 10^{-159}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;t \leq -2.956852505002017 \cdot 10^{-197}:\\ \;\;\;\;\left(t_7 - z \cdot \left(b \cdot c\right)\right) - t_6\\ \mathbf{elif}\;t \leq 14500000000000:\\ \;\;\;\;t_5\\ \mathbf{elif}\;t \leq 10^{+167}:\\ \;\;\;\;t_8\\ \mathbf{else}:\\ \;\;\;\;t_2 + \left(i \cdot \left(t \cdot b\right) - t \cdot \left(x \cdot a\right)\right)\\ \end{array} \]
Alternative 19
Error18.0
Cost2524
\[\begin{array}{l} t_1 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_4 := \left(t_3 + t_1\right) + t_2\\ t_5 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_6 := t_5 + \left(t_3 + t \cdot \left(b \cdot i\right)\right)\\ \mathbf{if}\;t \leq -2.9 \cdot 10^{+174}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -1.3 \cdot 10^{+48}:\\ \;\;\;\;t_5 - \left(b \cdot \left(z \cdot c - t \cdot i\right) - y \cdot \left(x \cdot z\right)\right)\\ \mathbf{elif}\;t \leq -1.76158018970871 \cdot 10^{-29}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -5.402256918791374 \cdot 10^{-159}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;t \leq -2.956852505002017 \cdot 10^{-197}:\\ \;\;\;\;\left(t_3 - z \cdot \left(b \cdot c\right)\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{elif}\;t \leq 14500000000000:\\ \;\;\;\;t_5 + \left(z \cdot \left(x \cdot y\right) + t_1\right)\\ \mathbf{elif}\;t \leq 10^{+167}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_2 + \left(i \cdot \left(t \cdot b\right) - t \cdot \left(x \cdot a\right)\right)\\ \end{array} \]
Alternative 20
Error16.6
Cost2524
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_3 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_4 := t_3 + \left(t_1 + t \cdot \left(b \cdot i\right)\right)\\ t_5 := \left(y \cdot \left(x \cdot z\right) - z \cdot \left(b \cdot c\right)\right) + \left(c \cdot \left(a \cdot j\right) - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{if}\;b \leq -2.2 \cdot 10^{-47}:\\ \;\;\;\;t_3 + \left(t_2 - a \cdot \left(x \cdot t\right)\right)\\ \mathbf{elif}\;b \leq -2.1955613972358242 \cdot 10^{-163}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq -4.648134905423163 \cdot 10^{-179}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq -1.2026727860390165 \cdot 10^{-203}:\\ \;\;\;\;t_1 - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;b \leq 2.519348966218407 \cdot 10^{-268}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;b \leq 1.4627559636739587 \cdot 10^{-161}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;b \leq 5.314062140953689 \cdot 10^{-90}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_3 + \left(z \cdot \left(x \cdot y\right) + t_2\right)\\ \end{array} \]
Alternative 21
Error32.8
Cost2408
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := \left(y \cdot \left(x \cdot z\right) + t_1\right) - t_2\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right) - y \cdot \left(i \cdot j\right)\\ t_6 := t_4 - t_2\\ \mathbf{if}\;i \leq -2.458421803759554 \cdot 10^{-95}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -5.9155745913485057 \cdot 10^{-123}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -1.0292547281795109 \cdot 10^{-153}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -9.438419159350121 \cdot 10^{-185}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -7.011657053326343 \cdot 10^{-246}:\\ \;\;\;\;t_1 + t_4\\ \mathbf{elif}\;i \leq 1.7680203076139795 \cdot 10^{-279}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 8.411004885877673 \cdot 10^{-208}:\\ \;\;\;\;t_1 - \left(a \cdot \left(x \cdot t\right) + b \cdot \left(z \cdot c\right)\right)\\ \mathbf{elif}\;i \leq 2.7221804622795805 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 5.95957514772179 \cdot 10^{-36}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 1.8 \cdot 10^{+133}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 22
Error32.8
Cost2408
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := c \cdot \left(z \cdot b\right)\\ t_3 := \left(y \cdot \left(x \cdot z\right) + t_1\right) - t_2\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right) - y \cdot \left(i \cdot j\right)\\ t_6 := t_4 - t_2\\ \mathbf{if}\;i \leq -2.458421803759554 \cdot 10^{-95}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -5.9155745913485057 \cdot 10^{-123}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -1.0292547281795109 \cdot 10^{-153}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -9.438419159350121 \cdot 10^{-185}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -7.011657053326343 \cdot 10^{-246}:\\ \;\;\;\;t_1 + t_4\\ \mathbf{elif}\;i \leq 1.7680203076139795 \cdot 10^{-279}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 2.190456460806476 \cdot 10^{-208}:\\ \;\;\;\;t_1 - \left(b \cdot \left(z \cdot c\right) + t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;i \leq 2.7221804622795805 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 5.95957514772179 \cdot 10^{-36}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 1.8 \cdot 10^{+133}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 23
Error29.8
Cost2400
\[\begin{array}{l} t_1 := \left(z \cdot \left(x \cdot y\right) + b \cdot \left(t \cdot i - z \cdot c\right)\right) + c \cdot \left(a \cdot j\right)\\ t_2 := y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;a \leq -1.6 \cdot 10^{+188}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;a \leq -1.0410449977225862 \cdot 10^{-58}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -8.363390041429489 \cdot 10^{-110}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) - t_2\\ \mathbf{elif}\;a \leq -6.27292730751142 \cdot 10^{-152}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -3.904767773331388 \cdot 10^{-240}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;a \leq 4.403522946124833 \cdot 10^{-134}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 4.40984867630778 \cdot 10^{-86}:\\ \;\;\;\;i \cdot \left(t \cdot b\right) - t_2\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{+162}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right) - \left(a \cdot \left(x \cdot t\right) + z \cdot \left(b \cdot c\right)\right)\\ \end{array} \]
Alternative 24
Error21.2
Cost2392
\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := z \cdot \left(b \cdot c\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ t_4 := t_1 + \left(t_3 + b \cdot \left(t \cdot i - z \cdot c\right)\right)\\ t_5 := \left(x \cdot \left(y \cdot z - t \cdot a\right) - t_2\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;a \leq -7 \cdot 10^{+66}:\\ \;\;\;\;\left(y \cdot \left(x \cdot z\right) + a \cdot \left(c \cdot j - x \cdot t\right)\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;a \leq -3.2129670563894567 \cdot 10^{-93}:\\ \;\;\;\;t_1 + \left(t_3 + t \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;a \leq -4.840408192824945 \cdot 10^{-114}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq -1.4774684736965451 \cdot 10^{-154}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;a \leq -3.904767773331388 \cdot 10^{-240}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{+156}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right) - \left(a \cdot \left(x \cdot t\right) + t_2\right)\\ \end{array} \]
Alternative 25
Error17.6
Cost2392
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ t_4 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_5 := t_2 + \left(t_4 + t \cdot \left(b \cdot i\right)\right)\\ t_6 := t_4 + b \cdot \left(t \cdot i - z \cdot c\right)\\ \mathbf{if}\;c \leq -1 \cdot 10^{+170}:\\ \;\;\;\;\left(t_3 + t_1\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;c \leq -1.8 \cdot 10^{-23}:\\ \;\;\;\;\left(t_3 - z \cdot \left(b \cdot c\right)\right) + \left(t_1 - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -1.0874397521486512 \cdot 10^{-249}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;c \leq 3.8673318518517414 \cdot 10^{-290}:\\ \;\;\;\;t_6 - i \cdot \left(y \cdot j\right)\\ \mathbf{elif}\;c \leq 1.0847822602830603 \cdot 10^{-248}:\\ \;\;\;\;t_2 - \left(b \cdot \left(z \cdot c - t \cdot i\right) - t_3\right)\\ \mathbf{elif}\;c \leq 6.822920749546398 \cdot 10^{-93}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;t_6 + t_1\\ \end{array} \]
Alternative 26
Error17.2
Cost2392
\[\begin{array}{l} t_1 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_2 := t_1 + \left(x \cdot \left(y \cdot z - t \cdot a\right) + t \cdot \left(b \cdot i\right)\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := a \cdot \left(x \cdot t\right)\\ t_5 := z \cdot \left(b \cdot c\right)\\ t_6 := y \cdot \left(i \cdot j\right)\\ t_7 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;y \leq -1 \cdot 10^{+58}:\\ \;\;\;\;\left(t_7 + t_3\right) - t_6\\ \mathbf{elif}\;y \leq -1 \cdot 10^{-21}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -2.1729406281994766 \cdot 10^{-118}:\\ \;\;\;\;t_1 + \left(\left(t_7 - t_4\right) - t_5\right)\\ \mathbf{elif}\;y \leq -8.930460669352034 \cdot 10^{-197}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 3.5841386393186224 \cdot 10^{-177}:\\ \;\;\;\;t_1 + \left(t_3 - t_4\right)\\ \mathbf{elif}\;y \leq 10^{+130}:\\ \;\;\;\;t_1 + \left(z \cdot \left(x \cdot y\right) + t_3\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t_7 - t_5\right) + \left(c \cdot \left(a \cdot j\right) - t_6\right)\\ \end{array} \]
Alternative 27
Error32.5
Cost2276
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := \left(y \cdot \left(x \cdot z\right) + t_1\right) - t_3\\ t_5 := t \cdot \left(b \cdot i - x \cdot a\right) - y \cdot \left(i \cdot j\right)\\ t_6 := t_2 - t_3\\ \mathbf{if}\;i \leq -2.458421803759554 \cdot 10^{-95}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq -5.9155745913485057 \cdot 10^{-123}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq -1.0292547281795109 \cdot 10^{-153}:\\ \;\;\;\;t_1 + \left(b \cdot \left(t \cdot i\right) - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;i \leq -9.438419159350121 \cdot 10^{-185}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -7.011657053326343 \cdot 10^{-246}:\\ \;\;\;\;t_1 + t_2\\ \mathbf{elif}\;i \leq 2.383272541007581 \cdot 10^{-290}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 2.7221804622795805 \cdot 10^{-100}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 5.95957514772179 \cdot 10^{-36}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;i \leq 1.8 \cdot 10^{+133}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \]
Alternative 28
Error32.7
Cost2276
\[\begin{array}{l} t_1 := t \cdot \left(x \cdot a\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := c \cdot \left(z \cdot b\right)\\ t_4 := \left(b \cdot \left(t \cdot i\right) - t_1\right) - i \cdot \left(y \cdot j\right)\\ t_5 := c \cdot \left(a \cdot j\right)\\ t_6 := \left(y \cdot \left(x \cdot z\right) + t_5\right) - t_3\\ \mathbf{if}\;i \leq -1.2465717258580274 \cdot 10^{-73}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq -8.964451103230586 \cdot 10^{-124}:\\ \;\;\;\;j \cdot \left(y \cdot \left(-i\right)\right) - \left(a \cdot \left(x \cdot t\right) + z \cdot \left(b \cdot c\right)\right)\\ \mathbf{elif}\;i \leq -1.0292547281795109 \cdot 10^{-153}:\\ \;\;\;\;t_5 + \left(i \cdot \left(t \cdot b\right) - t_1\right)\\ \mathbf{elif}\;i \leq -7.011657053326343 \cdot 10^{-246}:\\ \;\;\;\;t_5 + t_2\\ \mathbf{elif}\;i \leq 1.7680203076139795 \cdot 10^{-279}:\\ \;\;\;\;t_2 - t_3\\ \mathbf{elif}\;i \leq 2.190456460806476 \cdot 10^{-208}:\\ \;\;\;\;t_5 - \left(b \cdot \left(z \cdot c\right) + t_1\right)\\ \mathbf{elif}\;i \leq 2.7221804622795805 \cdot 10^{-100}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;i \leq 5.95957514772179 \cdot 10^{-36}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;i \leq 1.8 \cdot 10^{+133}:\\ \;\;\;\;t_6\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(b \cdot i - x \cdot a\right) - y \cdot \left(i \cdot j\right)\\ \end{array} \]
Alternative 29
Error17.3
Cost2260
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j\right)\\ t_2 := j \cdot \left(a \cdot c - y \cdot i\right)\\ t_3 := b \cdot \left(t \cdot i - z \cdot c\right)\\ t_4 := y \cdot \left(x \cdot z\right)\\ t_5 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;c \leq -1 \cdot 10^{+170}:\\ \;\;\;\;\left(t_4 + t_1\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;c \leq -1.8 \cdot 10^{-23}:\\ \;\;\;\;\left(t_4 - z \cdot \left(b \cdot c\right)\right) + \left(t_1 - y \cdot \left(i \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -1.5147626040126671 \cdot 10^{-120}:\\ \;\;\;\;t_2 + \left(t_5 + t \cdot \left(b \cdot i\right)\right)\\ \mathbf{elif}\;c \leq -1.0456766676182543 \cdot 10^{-156}:\\ \;\;\;\;t_2 + \left(t_3 - t \cdot \left(x \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 6.822920749546398 \cdot 10^{-93}:\\ \;\;\;\;t_2 + \left(i \cdot \left(t \cdot b\right) + t_5\right)\\ \mathbf{else}:\\ \;\;\;\;\left(t_5 + t_3\right) + t_1\\ \end{array} \]
Alternative 30
Error51.1
Cost1704
\[\begin{array}{l} t_1 := c \cdot \left(z \cdot \left(-b\right)\right)\\ t_2 := a \cdot \left(t \cdot \left(-x\right)\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;a \leq -1.8 \cdot 10^{+67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -6.8 \cdot 10^{-26}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq -5.5 \cdot 10^{-33}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -7.879121234494567 \cdot 10^{-110}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -7.947854116718843 \cdot 10^{-164}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.1707362752399826 \cdot 10^{-274}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.2737167318219906 \cdot 10^{-198}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.6 \cdot 10^{-30}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{+115}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 3.2 \cdot 10^{+162}:\\ \;\;\;\;y \cdot \left(x \cdot z\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 31
Error37.3
Cost1632
\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := i \cdot \left(t \cdot b\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;c \leq -720:\\ \;\;\;\;c \cdot \left(a \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;c \leq -3.314253858873232 \cdot 10^{-198}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq -1.0874397521486512 \cdot 10^{-249}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 3.658347208890174 \cdot 10^{-265}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 3.308777709915693 \cdot 10^{-167}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;c \leq 2.982677416539019 \cdot 10^{-114}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;c \leq 1.8053472736687558 \cdot 10^{-45}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-37}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]
Alternative 32
Error37.3
Cost1632
\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ t_2 := y \cdot \left(i \cdot j\right)\\ t_3 := i \cdot \left(t \cdot b\right) - t_2\\ \mathbf{if}\;c \leq -720:\\ \;\;\;\;c \cdot \left(a \cdot j\right) - c \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;c \leq -3.314253858873232 \cdot 10^{-198}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq -1.0874397521486512 \cdot 10^{-249}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 3.658347208890174 \cdot 10^{-265}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;c \leq 3.308777709915693 \cdot 10^{-167}:\\ \;\;\;\;x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{elif}\;c \leq 2.982677416539019 \cdot 10^{-114}:\\ \;\;\;\;t \cdot \left(x \cdot \left(-a\right)\right) - t_2\\ \mathbf{elif}\;c \leq 1.8053472736687558 \cdot 10^{-45}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;c \leq 4.4 \cdot 10^{-37}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \end{array} \]
Alternative 33
Error31.9
Cost1620
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_2 := t_1 - c \cdot \left(z \cdot b\right)\\ t_3 := t \cdot \left(b \cdot i - x \cdot a\right) - y \cdot \left(i \cdot j\right)\\ \mathbf{if}\;i \leq -3.246534933644667 \cdot 10^{-71}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq -7.011657053326343 \cdot 10^{-246}:\\ \;\;\;\;c \cdot \left(a \cdot j\right) + t_1\\ \mathbf{elif}\;i \leq 2.7221804622795805 \cdot 10^{-100}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;i \leq 9.174447477479728 \cdot 10^{-40}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;i \leq 2.9100670855194254 \cdot 10^{-16}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 34
Error50.7
Cost1572
\[\begin{array}{l} t_1 := c \cdot \left(z \cdot \left(-b\right)\right)\\ t_2 := a \cdot \left(t \cdot \left(-x\right)\right)\\ t_3 := z \cdot \left(x \cdot y\right)\\ \mathbf{if}\;a \leq -1.8 \cdot 10^{+67}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -6.8 \cdot 10^{-26}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{elif}\;a \leq -5.5 \cdot 10^{-33}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -7.879121234494567 \cdot 10^{-110}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq -7.947854116718843 \cdot 10^{-164}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 2.1707362752399826 \cdot 10^{-274}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 2.2737167318219906 \cdot 10^{-198}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.6 \cdot 10^{-30}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;a \leq 1.48 \cdot 10^{+118}:\\ \;\;\;\;z \cdot \left(c \cdot \left(-b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \]
Alternative 35
Error39.7
Cost1236
\[\begin{array}{l} t_1 := c \cdot \left(a \cdot j - z \cdot b\right)\\ t_2 := x \cdot \left(y \cdot z - t \cdot a\right)\\ t_3 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -3.724914452633695 \cdot 10^{-37}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;z \leq -1.73095870617695 \cdot 10^{-292}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 2.1045362673579403 \cdot 10^{-270}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq 7.692382330479765 \cdot 10^{-213}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;z \leq 1.941205341437008 \cdot 10^{-6}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 36
Error50.1
Cost980
\[\begin{array}{l} t_1 := a \cdot \left(t \cdot \left(-x\right)\right)\\ t_2 := c \cdot \left(a \cdot j\right)\\ t_3 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;y \leq -7.5 \cdot 10^{-26}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq -1.4575594359727887 \cdot 10^{-183}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 5.573398894207346 \cdot 10^{-274}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 3.5841386393186224 \cdot 10^{-177}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.237105569131315 \cdot 10^{-73}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \]
Alternative 37
Error43.0
Cost972
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -2.7848845284144997 \cdot 10^{-131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.4344896696343797 \cdot 10^{-219}:\\ \;\;\;\;-1 + \left(c \cdot \left(a \cdot j\right) + 1\right)\\ \mathbf{elif}\;x \leq 1.3255271948478665 \cdot 10^{-52}:\\ \;\;\;\;c \cdot \left(z \cdot \left(-b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 38
Error39.0
Cost972
\[\begin{array}{l} t_1 := z \cdot \left(x \cdot y - b \cdot c\right)\\ \mathbf{if}\;z \leq -8 \cdot 10^{+67}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;z \leq -1.73095870617695 \cdot 10^{-292}:\\ \;\;\;\;a \cdot \left(c \cdot j - x \cdot t\right)\\ \mathbf{elif}\;z \leq 1.941205341437008 \cdot 10^{-6}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 39
Error37.8
Cost840
\[\begin{array}{l} t_1 := x \cdot \left(y \cdot z - t \cdot a\right)\\ \mathbf{if}\;x \leq -2.7848845284144997 \cdot 10^{-131}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.3255271948478665 \cdot 10^{-52}:\\ \;\;\;\;c \cdot \left(a \cdot j - z \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 40
Error50.1
Cost584
\[\begin{array}{l} t_1 := y \cdot \left(x \cdot z\right)\\ \mathbf{if}\;y \leq -2.3:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.237105569131315 \cdot 10^{-73}:\\ \;\;\;\;c \cdot \left(a \cdot j\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \]
Alternative 41
Error53.8
Cost320
\[z \cdot \left(x \cdot y\right) \]

Error

Reproduce

herbie shell --seed 2022291 
(FPCore (x y z t a b c i j)
  :name "Data.Colour.Matrix:determinant from colour-2.3.3, A"
  :precision binary64

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

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