Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.4% → 40.1%

Time: 1.8min

Alternatives: 33

Speedup: 3.5×

• 89.1% of points produce a very large (infinite) output. You may want to add a precondition.

Specification

Math

\[\begin{array}{l} \\ \left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (+
  (-
   (+
    (+
     (-
      (* (- (* x y) (* z t)) (- (* a b) (* c i)))
      (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i))))
     (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a))))
    (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i))))
   (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a))))
  (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - (((x * j) - (z * k)) * ((y0 * b) - (y1 * i)))) + (((x * y2) - (z * y3)) * ((y0 * c) - (y1 * a)))) + (((t * j) - (y * k)) * ((y4 * b) - (y5 * i)))) - (((t * y2) - (y * y3)) * ((y4 * c) - (y5 * a)))) + (((k * y2) - (j * y3)) * ((y4 * y1) - (y5 * y0)));
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - (((x * j) - (z * k)) * ((y0 * b) - (y1 * i)))) + (((x * y2) - (z * y3)) * ((y0 * c) - (y1 * a)))) + (((t * j) - (y * k)) * ((y4 * b) - (y5 * i)))) - (((t * y2) - (y * y3)) * ((y4 * c) - (y5 * a)))) + (((k * y2) - (j * y3)) * ((y4 * y1) - (y5 * y0)))
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - (((x * j) - (z * k)) * ((y0 * b) - (y1 * i)))) + (((x * y2) - (z * y3)) * ((y0 * c) - (y1 * a)))) + (((t * j) - (y * k)) * ((y4 * b) - (y5 * i)))) - (((t * y2) - (y * y3)) * ((y4 * c) - (y5 * a)))) + (((k * y2) - (j * y3)) * ((y4 * y1) - (y5 * y0)));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - (((x * j) - (z * k)) * ((y0 * b) - (y1 * i)))) + (((x * y2) - (z * y3)) * ((y0 * c) - (y1 * a)))) + (((t * j) - (y * k)) * ((y4 * b) - (y5 * i)))) - (((t * y2) - (y * y3)) * ((y4 * c) - (y5 * a)))) + (((k * y2) - (j * y3)) * ((y4 * y1) - (y5 * y0)))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(Float64(y0 * b) - Float64(y1 * i)))) + Float64(Float64(Float64(x * y2) - Float64(z * y3)) * Float64(Float64(y0 * c) - Float64(y1 * a)))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * Float64(Float64(y4 * b) - Float64(y5 * i)))) - Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(y4 * c) - Float64(y5 * a)))) + Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(Float64(y4 * y1) - Float64(y5 * y0))))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - (((x * j) - (z * k)) * ((y0 * b) - (y1 * i)))) + (((x * y2) - (z * y3)) * ((y0 * c) - (y1 * a)))) + (((t * j) - (y * k)) * ((y4 * b) - (y5 * i)))) - (((t * y2) - (y * y3)) * ((y4 * c) - (y5 * a)))) + (((k * y2) - (j * y3)) * ((y4 * y1) - (y5 * y0)));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(N[(y0 * b), $MachinePrecision] - N[(y1 * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y0 * c), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Initial Program: 30.4% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (+
  (-
   (+
    (+
     (-
      (* (- (* x y) (* z t)) (- (* a b) (* c i)))
      (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i))))
     (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a))))
    (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i))))
   (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a))))
  (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - (((x * j) - (z * k)) * ((y0 * b) - (y1 * i)))) + (((x * y2) - (z * y3)) * ((y0 * c) - (y1 * a)))) + (((t * j) - (y * k)) * ((y4 * b) - (y5 * i)))) - (((t * y2) - (y * y3)) * ((y4 * c) - (y5 * a)))) + (((k * y2) - (j * y3)) * ((y4 * y1) - (y5 * y0)));
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - (((x * j) - (z * k)) * ((y0 * b) - (y1 * i)))) + (((x * y2) - (z * y3)) * ((y0 * c) - (y1 * a)))) + (((t * j) - (y * k)) * ((y4 * b) - (y5 * i)))) - (((t * y2) - (y * y3)) * ((y4 * c) - (y5 * a)))) + (((k * y2) - (j * y3)) * ((y4 * y1) - (y5 * y0)))
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - (((x * j) - (z * k)) * ((y0 * b) - (y1 * i)))) + (((x * y2) - (z * y3)) * ((y0 * c) - (y1 * a)))) + (((t * j) - (y * k)) * ((y4 * b) - (y5 * i)))) - (((t * y2) - (y * y3)) * ((y4 * c) - (y5 * a)))) + (((k * y2) - (j * y3)) * ((y4 * y1) - (y5 * y0)));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - (((x * j) - (z * k)) * ((y0 * b) - (y1 * i)))) + (((x * y2) - (z * y3)) * ((y0 * c) - (y1 * a)))) + (((t * j) - (y * k)) * ((y4 * b) - (y5 * i)))) - (((t * y2) - (y * y3)) * ((y4 * c) - (y5 * a)))) + (((k * y2) - (j * y3)) * ((y4 * y1) - (y5 * y0)))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(Float64(y0 * b) - Float64(y1 * i)))) + Float64(Float64(Float64(x * y2) - Float64(z * y3)) * Float64(Float64(y0 * c) - Float64(y1 * a)))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * Float64(Float64(y4 * b) - Float64(y5 * i)))) - Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(y4 * c) - Float64(y5 * a)))) + Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(Float64(y4 * y1) - Float64(y5 * y0))))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - (((x * j) - (z * k)) * ((y0 * b) - (y1 * i)))) + (((x * y2) - (z * y3)) * ((y0 * c) - (y1 * a)))) + (((t * j) - (y * k)) * ((y4 * b) - (y5 * i)))) - (((t * y2) - (y * y3)) * ((y4 * c) - (y5 * a)))) + (((k * y2) - (j * y3)) * ((y4 * y1) - (y5 * y0)));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(N[(y0 * b), $MachinePrecision] - N[(y1 * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y0 * c), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Alternative 1: 40.1% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y5 - c \cdot y4\\ t_2 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_3 := x \cdot y2 - z \cdot y3\\ t_4 := y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot t_3\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{if}\;j \leq -4 \cdot 10^{+139}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -3.5 \cdot 10^{-52}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-239}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t_1\right)\\ \mathbf{elif}\;j \leq -1.7 \cdot 10^{-283}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 5.2 \cdot 10^{-264}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq 5.3 \cdot 10^{-236}:\\ \;\;\;\;\left(y1 \cdot y2\right) \cdot \left(k \cdot y4 - x \cdot a\right)\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{-182}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t_3 + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-82}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 4.3 \cdot 10^{-7}:\\ \;\;\;\;t \cdot \left(y2 \cdot t_1\right)\\ \mathbf{elif}\;j \leq 6.1 \cdot 10^{+44}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;j \leq 4.2 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 1.7 \cdot 10^{+222}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y5) (* c y4)))
        (t_2
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_3 (- (* x y2) (* z y3)))
        (t_4
         (*
          y1
          (+
           (- (* y4 (- (* k y2) (* j y3))) (* a t_3))
           (* i (- (* x j) (* z k)))))))
   (if (<= j -4e+139)
     t_2
     (if (<= j -3.5e-52)
       t_4
       (if (<= j -6e-239)
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
           (* t t_1)))
         (if (<= j -1.7e-283)
           (* y2 (* y5 (- (* t a) (* k y0))))
           (if (<= j 5.2e-264)
             (* i (* k (- (* y y5) (* z y1))))
             (if (<= j 5.3e-236)
               (* (* y1 y2) (- (* k y4) (* x a)))
               (if (<= j 4.8e-182)
                 (*
                  y0
                  (+
                   (+ (* c t_3) (* y5 (- (* j y3) (* k y2))))
                   (* b (- (* z k) (* x j)))))
                 (if (<= j 9.5e-82)
                   t_4
                   (if (<= j 4.3e-7)
                     (* t (* y2 t_1))
                     (if (<= j 6.1e+44)
                       t_4
                       (if (<= j 4.2e+188)
                         (* y0 (* j (- (* y3 y5) (* x b))))
                         (if (<= j 1.7e+222)
                           (* b (* y4 (- (* t j) (* y k))))
                           t_2))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y5) - (c * y4);
	double t_2 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_3 = (x * y2) - (z * y3);
	double t_4 = y1 * (((y4 * ((k * y2) - (j * y3))) - (a * t_3)) + (i * ((x * j) - (z * k))));
	double tmp;
	if (j <= -4e+139) {
		tmp = t_2;
	} else if (j <= -3.5e-52) {
		tmp = t_4;
	} else if (j <= -6e-239) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	} else if (j <= -1.7e-283) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (j <= 5.2e-264) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (j <= 5.3e-236) {
		tmp = (y1 * y2) * ((k * y4) - (x * a));
	} else if (j <= 4.8e-182) {
		tmp = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	} else if (j <= 9.5e-82) {
		tmp = t_4;
	} else if (j <= 4.3e-7) {
		tmp = t * (y2 * t_1);
	} else if (j <= 6.1e+44) {
		tmp = t_4;
	} else if (j <= 4.2e+188) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (j <= 1.7e+222) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (a * y5) - (c * y4)
    t_2 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_3 = (x * y2) - (z * y3)
    t_4 = y1 * (((y4 * ((k * y2) - (j * y3))) - (a * t_3)) + (i * ((x * j) - (z * k))))
    if (j <= (-4d+139)) then
        tmp = t_2
    else if (j <= (-3.5d-52)) then
        tmp = t_4
    else if (j <= (-6d-239)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1))
    else if (j <= (-1.7d-283)) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (j <= 5.2d-264) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (j <= 5.3d-236) then
        tmp = (y1 * y2) * ((k * y4) - (x * a))
    else if (j <= 4.8d-182) then
        tmp = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
    else if (j <= 9.5d-82) then
        tmp = t_4
    else if (j <= 4.3d-7) then
        tmp = t * (y2 * t_1)
    else if (j <= 6.1d+44) then
        tmp = t_4
    else if (j <= 4.2d+188) then
        tmp = y0 * (j * ((y3 * y5) - (x * b)))
    else if (j <= 1.7d+222) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y5) - (c * y4);
	double t_2 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_3 = (x * y2) - (z * y3);
	double t_4 = y1 * (((y4 * ((k * y2) - (j * y3))) - (a * t_3)) + (i * ((x * j) - (z * k))));
	double tmp;
	if (j <= -4e+139) {
		tmp = t_2;
	} else if (j <= -3.5e-52) {
		tmp = t_4;
	} else if (j <= -6e-239) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	} else if (j <= -1.7e-283) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (j <= 5.2e-264) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (j <= 5.3e-236) {
		tmp = (y1 * y2) * ((k * y4) - (x * a));
	} else if (j <= 4.8e-182) {
		tmp = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	} else if (j <= 9.5e-82) {
		tmp = t_4;
	} else if (j <= 4.3e-7) {
		tmp = t * (y2 * t_1);
	} else if (j <= 6.1e+44) {
		tmp = t_4;
	} else if (j <= 4.2e+188) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (j <= 1.7e+222) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y5) - (c * y4)
	t_2 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_3 = (x * y2) - (z * y3)
	t_4 = y1 * (((y4 * ((k * y2) - (j * y3))) - (a * t_3)) + (i * ((x * j) - (z * k))))
	tmp = 0
	if j <= -4e+139:
		tmp = t_2
	elif j <= -3.5e-52:
		tmp = t_4
	elif j <= -6e-239:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1))
	elif j <= -1.7e-283:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif j <= 5.2e-264:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif j <= 5.3e-236:
		tmp = (y1 * y2) * ((k * y4) - (x * a))
	elif j <= 4.8e-182:
		tmp = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
	elif j <= 9.5e-82:
		tmp = t_4
	elif j <= 4.3e-7:
		tmp = t * (y2 * t_1)
	elif j <= 6.1e+44:
		tmp = t_4
	elif j <= 4.2e+188:
		tmp = y0 * (j * ((y3 * y5) - (x * b)))
	elif j <= 1.7e+222:
		tmp = b * (y4 * ((t * j) - (y * k)))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y5) - Float64(c * y4))
	t_2 = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_3 = Float64(Float64(x * y2) - Float64(z * y3))
	t_4 = Float64(y1 * Float64(Float64(Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))) - Float64(a * t_3)) + Float64(i * Float64(Float64(x * j) - Float64(z * k)))))
	tmp = 0.0
	if (j <= -4e+139)
		tmp = t_2;
	elseif (j <= -3.5e-52)
		tmp = t_4;
	elseif (j <= -6e-239)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_1)));
	elseif (j <= -1.7e-283)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (j <= 5.2e-264)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (j <= 5.3e-236)
		tmp = Float64(Float64(y1 * y2) * Float64(Float64(k * y4) - Float64(x * a)));
	elseif (j <= 4.8e-182)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_3) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (j <= 9.5e-82)
		tmp = t_4;
	elseif (j <= 4.3e-7)
		tmp = Float64(t * Float64(y2 * t_1));
	elseif (j <= 6.1e+44)
		tmp = t_4;
	elseif (j <= 4.2e+188)
		tmp = Float64(y0 * Float64(j * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (j <= 1.7e+222)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y5) - (c * y4);
	t_2 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_3 = (x * y2) - (z * y3);
	t_4 = y1 * (((y4 * ((k * y2) - (j * y3))) - (a * t_3)) + (i * ((x * j) - (z * k))));
	tmp = 0.0;
	if (j <= -4e+139)
		tmp = t_2;
	elseif (j <= -3.5e-52)
		tmp = t_4;
	elseif (j <= -6e-239)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	elseif (j <= -1.7e-283)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (j <= 5.2e-264)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (j <= 5.3e-236)
		tmp = (y1 * y2) * ((k * y4) - (x * a));
	elseif (j <= 4.8e-182)
		tmp = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	elseif (j <= 9.5e-82)
		tmp = t_4;
	elseif (j <= 4.3e-7)
		tmp = t * (y2 * t_1);
	elseif (j <= 6.1e+44)
		tmp = t_4;
	elseif (j <= 4.2e+188)
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	elseif (j <= 1.7e+222)
		tmp = b * (y4 * ((t * j) - (y * k)));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y1 * N[(N[(N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -4e+139], t$95$2, If[LessEqual[j, -3.5e-52], t$95$4, If[LessEqual[j, -6e-239], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.7e-283], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 5.2e-264], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 5.3e-236], N[(N[(y1 * y2), $MachinePrecision] * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 4.8e-182], N[(y0 * N[(N[(N[(c * t$95$3), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 9.5e-82], t$95$4, If[LessEqual[j, 4.3e-7], N[(t * N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 6.1e+44], t$95$4, If[LessEqual[j, 4.2e+188], N[(y0 * N[(j * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.7e+222], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if j < -4.00000000000000013e139 or 1.70000000000000008e222 < j

   1. Initial program 19.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 78.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 78.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 78.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 78.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 78.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 78.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if -4.00000000000000013e139 < j < -3.5e-52 or 4.7999999999999997e-182 < j < 9.4999999999999996e-82 or 4.3000000000000001e-7 < j < 6.09999999999999983e44

   1. Initial program 26.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 54.4%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 54.4%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + -1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      2. mul-1-neg 54.4%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      3. unsub-neg 54.4%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      4. *-commutative 54.4%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right) - a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      5. *-commutative 54.4%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      6. mul-1-neg 54.4%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right) \]

      7. *-commutative 54.4%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right)\right) \]

      8. *-commutative 54.4%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 54.4%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(x \cdot j - z \cdot k\right)\right)\right)} \]

   if -3.5e-52 < j < -5.9999999999999996e-239

   1. Initial program 38.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 57.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -5.9999999999999996e-239 < j < -1.6999999999999999e-283

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 0.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y5 around -inf 67.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y2 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]

   if -1.6999999999999999e-283 < j < 5.2000000000000004e-264

   1. Initial program 20.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 61.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 61.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 61.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 61.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 61.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 61.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in i around -inf 80.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z - y \cdot y5\right)\right)\right)} \]

   if 5.2000000000000004e-264 < j < 5.3000000000000002e-236

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 1.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y1 around inf 76.5%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 76.5%

         \[\leadsto \color{blue}{\left(y1 \cdot y2\right) \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)} \]

      2. *-commutative 76.5%

         \[\leadsto \color{blue}{\left(y2 \cdot y1\right)} \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right) \]

      3. +-commutative 76.5%

         \[\leadsto \left(y2 \cdot y1\right) \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)} \]

      4. mul-1-neg 76.5%

         \[\leadsto \left(y2 \cdot y1\right) \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right) \]

      5. unsub-neg 76.5%

         \[\leadsto \left(y2 \cdot y1\right) \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)} \]

      6. *-commutative 76.5%

         \[\leadsto \left(y2 \cdot y1\right) \cdot \left(\color{blue}{y4 \cdot k} - a \cdot x\right) \]

      7. *-commutative 76.5%

         \[\leadsto \left(y2 \cdot y1\right) \cdot \left(y4 \cdot k - \color{blue}{x \cdot a}\right) \]

   5. Simplified 76.5%

      \[\leadsto \color{blue}{\left(y2 \cdot y1\right) \cdot \left(y4 \cdot k - x \cdot a\right)} \]

   if 5.3000000000000002e-236 < j < 4.7999999999999997e-182

   1. Initial program 58.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 71.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 71.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 71.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 71.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 71.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 71.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 71.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 71.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 71.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   if 9.4999999999999996e-82 < j < 4.3000000000000001e-7

   1. Initial program 26.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 47.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 65.5%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 6.09999999999999983e44 < j < 4.19999999999999973e188

   1. Initial program 26.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 53.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 53.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 53.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 53.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 53.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 53.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 53.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 53.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 53.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 61.0%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 64.0%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)} \]

      2. *-commutative 64.0%

         \[\leadsto \color{blue}{\left(y0 \cdot j\right)} \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right) \]

      3. associate-*l* 64.2%

         \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]

      4. +-commutative 64.2%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      5. mul-1-neg 64.2%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      6. unsub-neg 64.2%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      7. *-commutative 64.2%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 64.2%

      \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 4.19999999999999973e188 < j < 1.70000000000000008e222

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 40.5%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 40.5%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 40.5%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in b around inf 80.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 64.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -4 \cdot 10^{+139}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq -3.5 \cdot 10^{-52}:\\ \;\;\;\;y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -6 \cdot 10^{-239}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -1.7 \cdot 10^{-283}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 5.2 \cdot 10^{-264}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq 5.3 \cdot 10^{-236}:\\ \;\;\;\;\left(y1 \cdot y2\right) \cdot \left(k \cdot y4 - x \cdot a\right)\\ \mathbf{elif}\;j \leq 4.8 \cdot 10^{-182}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 9.5 \cdot 10^{-82}:\\ \;\;\;\;y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;j \leq 4.3 \cdot 10^{-7}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 6.1 \cdot 10^{+44}:\\ \;\;\;\;y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;j \leq 4.2 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 1.7 \cdot 10^{+222}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 2: 52.7% accurate, 0.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot y4 - i \cdot y5\\ t_2 := \left(\left(\left(\left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - z \cdot t\right) + \left(b \cdot y0 - i \cdot y1\right) \cdot \left(z \cdot k - x \cdot j\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t_1 \cdot \left(t \cdot j - y \cdot k\right)\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ \mathbf{if}\;t_2 \leq \infty:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(t \cdot t_1 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* b y4) (* i y5)))
        (t_2
         (+
          (+
           (+
            (+
             (+
              (* (- (* a b) (* c i)) (- (* x y) (* z t)))
              (* (- (* b y0) (* i y1)) (- (* z k) (* x j))))
             (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))))
            (* t_1 (- (* t j) (* y k))))
           (* (- (* t y2) (* y y3)) (- (* a y5) (* c y4))))
          (* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5))))))
   (if (<= t_2 INFINITY)
     t_2
     (*
      j
      (+
       (+ (* t t_1) (* y3 (- (* y0 y5) (* y1 y4))))
       (* x (- (* i y1) (* b y0))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (t_1 * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (t_2 <= ((double) INFINITY)) {
		tmp = t_2;
	} else {
		tmp = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	}
	return tmp;
}

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (t_1 * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (t_2 <= Double.POSITIVE_INFINITY) {
		tmp = t_2;
	} else {
		tmp = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y4) - (i * y5)
	t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (t_1 * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if t_2 <= math.inf:
		tmp = t_2
	else:
		tmp = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(b * y4) - Float64(i * y5))
	t_2 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(a * b) - Float64(c * i)) * Float64(Float64(x * y) - Float64(z * t))) + Float64(Float64(Float64(b * y0) - Float64(i * y1)) * Float64(Float64(z * k) - Float64(x * j)))) + Float64(Float64(Float64(x * y2) - Float64(z * y3)) * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t_1 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(a * y5) - Float64(c * y4)))) + Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (t_2 <= Inf)
		tmp = t_2;
	else
		tmp = Float64(j * Float64(Float64(Float64(t * t_1) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y4) - (i * y5);
	t_2 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (t_1 * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (t_2 <= Inf)
		tmp = t_2;
	else
		tmp = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(N[(N[(N[(N[(N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$1 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$2, Infinity], t$95$2, N[(j * N[(N[(N[(t * t$95$1), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 2 regimes

2. if (+.f64 (-.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i))) (*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))) (*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))) (*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))) (*.f64 (-.f64 (*.f64 t y2) (*.f64 y y3)) (-.f64 (*.f64 y4 c) (*.f64 y5 a)))) (*.f64 (-.f64 (*.f64 k y2) (*.f64 j y3)) (-.f64 (*.f64 y4 y1) (*.f64 y5 y0)))) < +inf.0

   1. Initial program 94.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   if +inf.0 < (+.f64 (-.f64 (+.f64 (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (-.f64 (*.f64 a b) (*.f64 c i))) (*.f64 (-.f64 (*.f64 x j) (*.f64 z k)) (-.f64 (*.f64 y0 b) (*.f64 y1 i)))) (*.f64 (-.f64 (*.f64 x y2) (*.f64 z y3)) (-.f64 (*.f64 y0 c) (*.f64 y1 a)))) (*.f64 (-.f64 (*.f64 t j) (*.f64 y k)) (-.f64 (*.f64 y4 b) (*.f64 y5 i)))) (*.f64 (-.f64 (*.f64 t y2) (*.f64 y y3)) (-.f64 (*.f64 y4 c) (*.f64 y5 a)))) (*.f64 (-.f64 (*.f64 k y2) (*.f64 j y3)) (-.f64 (*.f64 y4 y1) (*.f64 y5 y0))))

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 40.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 40.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 40.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 40.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 40.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 40.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 55.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;\left(\left(\left(\left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - z \cdot t\right) + \left(b \cdot y0 - i \cdot y1\right) \cdot \left(z \cdot k - x \cdot j\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(t \cdot j - y \cdot k\right)\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \leq \infty:\\ \;\;\;\;\left(\left(\left(\left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - z \cdot t\right) + \left(b \cdot y0 - i \cdot y1\right) \cdot \left(z \cdot k - x \cdot j\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(t \cdot j - y \cdot k\right)\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 3: 41.1% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot y4 - i \cdot y5\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := z \cdot k - x \cdot j\\ t_4 := j \cdot \left(\left(t \cdot t_1 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_5 := y1 \cdot y4 - y0 \cdot y5\\ t_6 := k \cdot \left(\left(y2 \cdot t_5 - y \cdot t_1\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_7 := k \cdot y2 - j \cdot y3\\ t_8 := t \cdot j - y \cdot k\\ \mathbf{if}\;k \leq -1.45 \cdot 10^{+107}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;k \leq -1.46 \cdot 10^{+60}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{+36}:\\ \;\;\;\;y1 \cdot \left(\left(y4 \cdot t_7 - a \cdot t_2\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq -4.6 \cdot 10^{-41}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t_2 + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot t_3\right)\\ \mathbf{elif}\;k \leq -6 \cdot 10^{-157}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_8 + y1 \cdot t_7\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.75 \cdot 10^{-235}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot t_5\right)\right)\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{-173}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 3.7 \cdot 10^{-116}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.7 \cdot 10^{-14}:\\ \;\;\;\;t_7 \cdot t_5 + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_8\right) + y0 \cdot t_3\right)\\ \mathbf{elif}\;k \leq 6.2 \cdot 10^{+169}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;t_6\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* b y4) (* i y5)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* z k) (* x j)))
        (t_4
         (*
          j
          (+
           (+ (* t t_1) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_5 (- (* y1 y4) (* y0 y5)))
        (t_6 (* k (+ (- (* y2 t_5) (* y t_1)) (* z (- (* b y0) (* i y1))))))
        (t_7 (- (* k y2) (* j y3)))
        (t_8 (- (* t j) (* y k))))
   (if (<= k -1.45e+107)
     t_6
     (if (<= k -1.46e+60)
       (* c (* y2 (- (* x y0) (* t y4))))
       (if (<= k -4.8e+36)
         (* y1 (+ (- (* y4 t_7) (* a t_2)) (* i (- (* x j) (* z k)))))
         (if (<= k -4.6e-41)
           (* y0 (+ (+ (* c t_2) (* y5 (- (* j y3) (* k y2)))) (* b t_3)))
           (if (<= k -6e-157)
             (* y4 (+ (+ (* b t_8) (* y1 t_7)) (* c (- (* y y3) (* t y2)))))
             (if (<= k 1.75e-235)
               (*
                y3
                (+
                 (* y (- (* c y4) (* a y5)))
                 (- (* z (- (* a y1) (* c y0))) (* j t_5))))
               (if (<= k 1.8e-173)
                 t_4
                 (if (<= k 3.7e-116)
                   (* t (* y2 (- (* a y5) (* c y4))))
                   (if (<= k 1.7e-14)
                     (+
                      (* t_7 t_5)
                      (*
                       b
                       (+
                        (+ (* a (- (* x y) (* z t))) (* y4 t_8))
                        (* y0 t_3))))
                     (if (<= k 6.2e+169) t_4 t_6))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (z * k) - (x * j);
	double t_4 = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_5 = (y1 * y4) - (y0 * y5);
	double t_6 = k * (((y2 * t_5) - (y * t_1)) + (z * ((b * y0) - (i * y1))));
	double t_7 = (k * y2) - (j * y3);
	double t_8 = (t * j) - (y * k);
	double tmp;
	if (k <= -1.45e+107) {
		tmp = t_6;
	} else if (k <= -1.46e+60) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= -4.8e+36) {
		tmp = y1 * (((y4 * t_7) - (a * t_2)) + (i * ((x * j) - (z * k))));
	} else if (k <= -4.6e-41) {
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * t_3));
	} else if (k <= -6e-157) {
		tmp = y4 * (((b * t_8) + (y1 * t_7)) + (c * ((y * y3) - (t * y2))));
	} else if (k <= 1.75e-235) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_5)));
	} else if (k <= 1.8e-173) {
		tmp = t_4;
	} else if (k <= 3.7e-116) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 1.7e-14) {
		tmp = (t_7 * t_5) + (b * (((a * ((x * y) - (z * t))) + (y4 * t_8)) + (y0 * t_3)));
	} else if (k <= 6.2e+169) {
		tmp = t_4;
	} else {
		tmp = t_6;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: tmp
    t_1 = (b * y4) - (i * y5)
    t_2 = (x * y2) - (z * y3)
    t_3 = (z * k) - (x * j)
    t_4 = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_5 = (y1 * y4) - (y0 * y5)
    t_6 = k * (((y2 * t_5) - (y * t_1)) + (z * ((b * y0) - (i * y1))))
    t_7 = (k * y2) - (j * y3)
    t_8 = (t * j) - (y * k)
    if (k <= (-1.45d+107)) then
        tmp = t_6
    else if (k <= (-1.46d+60)) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (k <= (-4.8d+36)) then
        tmp = y1 * (((y4 * t_7) - (a * t_2)) + (i * ((x * j) - (z * k))))
    else if (k <= (-4.6d-41)) then
        tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * t_3))
    else if (k <= (-6d-157)) then
        tmp = y4 * (((b * t_8) + (y1 * t_7)) + (c * ((y * y3) - (t * y2))))
    else if (k <= 1.75d-235) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_5)))
    else if (k <= 1.8d-173) then
        tmp = t_4
    else if (k <= 3.7d-116) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (k <= 1.7d-14) then
        tmp = (t_7 * t_5) + (b * (((a * ((x * y) - (z * t))) + (y4 * t_8)) + (y0 * t_3)))
    else if (k <= 6.2d+169) then
        tmp = t_4
    else
        tmp = t_6
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (z * k) - (x * j);
	double t_4 = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_5 = (y1 * y4) - (y0 * y5);
	double t_6 = k * (((y2 * t_5) - (y * t_1)) + (z * ((b * y0) - (i * y1))));
	double t_7 = (k * y2) - (j * y3);
	double t_8 = (t * j) - (y * k);
	double tmp;
	if (k <= -1.45e+107) {
		tmp = t_6;
	} else if (k <= -1.46e+60) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= -4.8e+36) {
		tmp = y1 * (((y4 * t_7) - (a * t_2)) + (i * ((x * j) - (z * k))));
	} else if (k <= -4.6e-41) {
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * t_3));
	} else if (k <= -6e-157) {
		tmp = y4 * (((b * t_8) + (y1 * t_7)) + (c * ((y * y3) - (t * y2))));
	} else if (k <= 1.75e-235) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_5)));
	} else if (k <= 1.8e-173) {
		tmp = t_4;
	} else if (k <= 3.7e-116) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 1.7e-14) {
		tmp = (t_7 * t_5) + (b * (((a * ((x * y) - (z * t))) + (y4 * t_8)) + (y0 * t_3)));
	} else if (k <= 6.2e+169) {
		tmp = t_4;
	} else {
		tmp = t_6;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y4) - (i * y5)
	t_2 = (x * y2) - (z * y3)
	t_3 = (z * k) - (x * j)
	t_4 = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_5 = (y1 * y4) - (y0 * y5)
	t_6 = k * (((y2 * t_5) - (y * t_1)) + (z * ((b * y0) - (i * y1))))
	t_7 = (k * y2) - (j * y3)
	t_8 = (t * j) - (y * k)
	tmp = 0
	if k <= -1.45e+107:
		tmp = t_6
	elif k <= -1.46e+60:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif k <= -4.8e+36:
		tmp = y1 * (((y4 * t_7) - (a * t_2)) + (i * ((x * j) - (z * k))))
	elif k <= -4.6e-41:
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * t_3))
	elif k <= -6e-157:
		tmp = y4 * (((b * t_8) + (y1 * t_7)) + (c * ((y * y3) - (t * y2))))
	elif k <= 1.75e-235:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_5)))
	elif k <= 1.8e-173:
		tmp = t_4
	elif k <= 3.7e-116:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif k <= 1.7e-14:
		tmp = (t_7 * t_5) + (b * (((a * ((x * y) - (z * t))) + (y4 * t_8)) + (y0 * t_3)))
	elif k <= 6.2e+169:
		tmp = t_4
	else:
		tmp = t_6
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(b * y4) - Float64(i * y5))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(z * k) - Float64(x * j))
	t_4 = Float64(j * Float64(Float64(Float64(t * t_1) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_5 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_6 = Float64(k * Float64(Float64(Float64(y2 * t_5) - Float64(y * t_1)) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))))
	t_7 = Float64(Float64(k * y2) - Float64(j * y3))
	t_8 = Float64(Float64(t * j) - Float64(y * k))
	tmp = 0.0
	if (k <= -1.45e+107)
		tmp = t_6;
	elseif (k <= -1.46e+60)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (k <= -4.8e+36)
		tmp = Float64(y1 * Float64(Float64(Float64(y4 * t_7) - Float64(a * t_2)) + Float64(i * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (k <= -4.6e-41)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_2) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * t_3)));
	elseif (k <= -6e-157)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_8) + Float64(y1 * t_7)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (k <= 1.75e-235)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(j * t_5))));
	elseif (k <= 1.8e-173)
		tmp = t_4;
	elseif (k <= 3.7e-116)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (k <= 1.7e-14)
		tmp = Float64(Float64(t_7 * t_5) + Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_8)) + Float64(y0 * t_3))));
	elseif (k <= 6.2e+169)
		tmp = t_4;
	else
		tmp = t_6;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y4) - (i * y5);
	t_2 = (x * y2) - (z * y3);
	t_3 = (z * k) - (x * j);
	t_4 = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_5 = (y1 * y4) - (y0 * y5);
	t_6 = k * (((y2 * t_5) - (y * t_1)) + (z * ((b * y0) - (i * y1))));
	t_7 = (k * y2) - (j * y3);
	t_8 = (t * j) - (y * k);
	tmp = 0.0;
	if (k <= -1.45e+107)
		tmp = t_6;
	elseif (k <= -1.46e+60)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (k <= -4.8e+36)
		tmp = y1 * (((y4 * t_7) - (a * t_2)) + (i * ((x * j) - (z * k))));
	elseif (k <= -4.6e-41)
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * t_3));
	elseif (k <= -6e-157)
		tmp = y4 * (((b * t_8) + (y1 * t_7)) + (c * ((y * y3) - (t * y2))));
	elseif (k <= 1.75e-235)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_5)));
	elseif (k <= 1.8e-173)
		tmp = t_4;
	elseif (k <= 3.7e-116)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (k <= 1.7e-14)
		tmp = (t_7 * t_5) + (b * (((a * ((x * y) - (z * t))) + (y4 * t_8)) + (y0 * t_3)));
	elseif (k <= 6.2e+169)
		tmp = t_4;
	else
		tmp = t_6;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(j * N[(N[(N[(t * t$95$1), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(k * N[(N[(N[(y2 * t$95$5), $MachinePrecision] - N[(y * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.45e+107], t$95$6, If[LessEqual[k, -1.46e+60], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.8e+36], N[(y1 * N[(N[(N[(y4 * t$95$7), $MachinePrecision] - N[(a * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.6e-41], N[(y0 * N[(N[(N[(c * t$95$2), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -6e-157], N[(y4 * N[(N[(N[(b * t$95$8), $MachinePrecision] + N[(y1 * t$95$7), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.75e-235], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.8e-173], t$95$4, If[LessEqual[k, 3.7e-116], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.7e-14], N[(N[(t$95$7 * t$95$5), $MachinePrecision] + N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$8), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 6.2e+169], t$95$4, t$95$6]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if k < -1.44999999999999994e107 or 6.2e169 < k

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 66.8%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 66.8%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 66.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 66.8%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 66.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 66.8%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   if -1.44999999999999994e107 < k < -1.4600000000000001e60

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 62.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 75.8%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if -1.4600000000000001e60 < k < -4.79999999999999985e36

   1. Initial program 74.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 75.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 75.5%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + -1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      2. mul-1-neg 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      3. unsub-neg 75.5%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      4. *-commutative 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right) - a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      5. *-commutative 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      6. mul-1-neg 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right) \]

      7. *-commutative 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right)\right) \]

      8. *-commutative 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 75.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(x \cdot j - z \cdot k\right)\right)\right)} \]

   if -4.79999999999999985e36 < k < -4.6000000000000002e-41

   1. Initial program 31.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 63.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 63.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 63.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 63.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 63.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 63.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 63.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 63.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 63.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   if -4.6000000000000002e-41 < k < -6e-157

   1. Initial program 23.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 60.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if -6e-157 < k < 1.7499999999999999e-235

   1. Initial program 24.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y3 around -inf 51.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if 1.7499999999999999e-235 < k < 1.79999999999999986e-173 or 1.70000000000000001e-14 < k < 6.2e169

   1. Initial program 20.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 72.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 72.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 72.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 72.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 72.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 72.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if 1.79999999999999986e-173 < k < 3.7000000000000002e-116

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 30.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 60.4%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 3.7000000000000002e-116 < k < 1.70000000000000001e-14

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 58.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
3. Recombined 9 regimes into one program.

4. Final simplification 63.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.45 \cdot 10^{+107}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.46 \cdot 10^{+60}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{+36}:\\ \;\;\;\;y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq -4.6 \cdot 10^{-41}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -6 \cdot 10^{-157}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.75 \cdot 10^{-235}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{-173}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 3.7 \cdot 10^{-116}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.7 \cdot 10^{-14}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 6.2 \cdot 10^{+169}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]

Alternative 4: 34.0% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot y5 - y1 \cdot y4\\ t_2 := x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ t_3 := y3 \cdot \left(j \cdot t_1 + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ t_4 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot t_1\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_5 := x \cdot y2 - z \cdot y3\\ \mathbf{if}\;k \leq -9 \cdot 10^{+112}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -2.1 \cdot 10^{-71}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -1.9 \cdot 10^{-100}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq -1.28 \cdot 10^{-151}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -5 \cdot 10^{-173}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 2.75 \cdot 10^{-253}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 7.8 \cdot 10^{-171}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{-129}:\\ \;\;\;\;t_5 \cdot \left(c \cdot y0\right)\\ \mathbf{elif}\;k \leq 5.6 \cdot 10^{-73}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 2.6 \cdot 10^{-15}:\\ \;\;\;\;c \cdot \left(y0 \cdot t_5\right)\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{+182}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y0 y5) (* y1 y4)))
        (t_2 (* x (* a (- (* y b) (* y1 y2)))))
        (t_3 (* y3 (+ (* j t_1) (* y (- (* c y4) (* a y5))))))
        (t_4
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 t_1))
           (* x (- (* i y1) (* b y0))))))
        (t_5 (- (* x y2) (* z y3))))
   (if (<= k -9e+112)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= k -2.1e-71)
       (* c (* y2 (- (* x y0) (* t y4))))
       (if (<= k -1.9e-100)
         t_3
         (if (<= k -1.28e-151)
           (* y0 (* y3 (* j y5)))
           (if (<= k -5e-173)
             t_2
             (if (<= k 2.75e-253)
               t_3
               (if (<= k 7.8e-171)
                 t_4
                 (if (<= k 1.6e-129)
                   (* t_5 (* c y0))
                   (if (<= k 5.6e-73)
                     t_2
                     (if (<= k 2.6e-15)
                       (* c (* y0 t_5))
                       (if (<= k 1.25e+182)
                         t_4
                         (* y0 (* y2 (- (* x c) (* k y5)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = x * (a * ((y * b) - (y1 * y2)));
	double t_3 = y3 * ((j * t_1) + (y * ((c * y4) - (a * y5))));
	double t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_1)) + (x * ((i * y1) - (b * y0))));
	double t_5 = (x * y2) - (z * y3);
	double tmp;
	if (k <= -9e+112) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -2.1e-71) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= -1.9e-100) {
		tmp = t_3;
	} else if (k <= -1.28e-151) {
		tmp = y0 * (y3 * (j * y5));
	} else if (k <= -5e-173) {
		tmp = t_2;
	} else if (k <= 2.75e-253) {
		tmp = t_3;
	} else if (k <= 7.8e-171) {
		tmp = t_4;
	} else if (k <= 1.6e-129) {
		tmp = t_5 * (c * y0);
	} else if (k <= 5.6e-73) {
		tmp = t_2;
	} else if (k <= 2.6e-15) {
		tmp = c * (y0 * t_5);
	} else if (k <= 1.25e+182) {
		tmp = t_4;
	} else {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = (y0 * y5) - (y1 * y4)
    t_2 = x * (a * ((y * b) - (y1 * y2)))
    t_3 = y3 * ((j * t_1) + (y * ((c * y4) - (a * y5))))
    t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_1)) + (x * ((i * y1) - (b * y0))))
    t_5 = (x * y2) - (z * y3)
    if (k <= (-9d+112)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (k <= (-2.1d-71)) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (k <= (-1.9d-100)) then
        tmp = t_3
    else if (k <= (-1.28d-151)) then
        tmp = y0 * (y3 * (j * y5))
    else if (k <= (-5d-173)) then
        tmp = t_2
    else if (k <= 2.75d-253) then
        tmp = t_3
    else if (k <= 7.8d-171) then
        tmp = t_4
    else if (k <= 1.6d-129) then
        tmp = t_5 * (c * y0)
    else if (k <= 5.6d-73) then
        tmp = t_2
    else if (k <= 2.6d-15) then
        tmp = c * (y0 * t_5)
    else if (k <= 1.25d+182) then
        tmp = t_4
    else
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = x * (a * ((y * b) - (y1 * y2)));
	double t_3 = y3 * ((j * t_1) + (y * ((c * y4) - (a * y5))));
	double t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_1)) + (x * ((i * y1) - (b * y0))));
	double t_5 = (x * y2) - (z * y3);
	double tmp;
	if (k <= -9e+112) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -2.1e-71) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= -1.9e-100) {
		tmp = t_3;
	} else if (k <= -1.28e-151) {
		tmp = y0 * (y3 * (j * y5));
	} else if (k <= -5e-173) {
		tmp = t_2;
	} else if (k <= 2.75e-253) {
		tmp = t_3;
	} else if (k <= 7.8e-171) {
		tmp = t_4;
	} else if (k <= 1.6e-129) {
		tmp = t_5 * (c * y0);
	} else if (k <= 5.6e-73) {
		tmp = t_2;
	} else if (k <= 2.6e-15) {
		tmp = c * (y0 * t_5);
	} else if (k <= 1.25e+182) {
		tmp = t_4;
	} else {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y0 * y5) - (y1 * y4)
	t_2 = x * (a * ((y * b) - (y1 * y2)))
	t_3 = y3 * ((j * t_1) + (y * ((c * y4) - (a * y5))))
	t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_1)) + (x * ((i * y1) - (b * y0))))
	t_5 = (x * y2) - (z * y3)
	tmp = 0
	if k <= -9e+112:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif k <= -2.1e-71:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif k <= -1.9e-100:
		tmp = t_3
	elif k <= -1.28e-151:
		tmp = y0 * (y3 * (j * y5))
	elif k <= -5e-173:
		tmp = t_2
	elif k <= 2.75e-253:
		tmp = t_3
	elif k <= 7.8e-171:
		tmp = t_4
	elif k <= 1.6e-129:
		tmp = t_5 * (c * y0)
	elif k <= 5.6e-73:
		tmp = t_2
	elif k <= 2.6e-15:
		tmp = c * (y0 * t_5)
	elif k <= 1.25e+182:
		tmp = t_4
	else:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_2 = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))))
	t_3 = Float64(y3 * Float64(Float64(j * t_1) + Float64(y * Float64(Float64(c * y4) - Float64(a * y5)))))
	t_4 = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * t_1)) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_5 = Float64(Float64(x * y2) - Float64(z * y3))
	tmp = 0.0
	if (k <= -9e+112)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (k <= -2.1e-71)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (k <= -1.9e-100)
		tmp = t_3;
	elseif (k <= -1.28e-151)
		tmp = Float64(y0 * Float64(y3 * Float64(j * y5)));
	elseif (k <= -5e-173)
		tmp = t_2;
	elseif (k <= 2.75e-253)
		tmp = t_3;
	elseif (k <= 7.8e-171)
		tmp = t_4;
	elseif (k <= 1.6e-129)
		tmp = Float64(t_5 * Float64(c * y0));
	elseif (k <= 5.6e-73)
		tmp = t_2;
	elseif (k <= 2.6e-15)
		tmp = Float64(c * Float64(y0 * t_5));
	elseif (k <= 1.25e+182)
		tmp = t_4;
	else
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y0 * y5) - (y1 * y4);
	t_2 = x * (a * ((y * b) - (y1 * y2)));
	t_3 = y3 * ((j * t_1) + (y * ((c * y4) - (a * y5))));
	t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_1)) + (x * ((i * y1) - (b * y0))));
	t_5 = (x * y2) - (z * y3);
	tmp = 0.0;
	if (k <= -9e+112)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (k <= -2.1e-71)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (k <= -1.9e-100)
		tmp = t_3;
	elseif (k <= -1.28e-151)
		tmp = y0 * (y3 * (j * y5));
	elseif (k <= -5e-173)
		tmp = t_2;
	elseif (k <= 2.75e-253)
		tmp = t_3;
	elseif (k <= 7.8e-171)
		tmp = t_4;
	elseif (k <= 1.6e-129)
		tmp = t_5 * (c * y0);
	elseif (k <= 5.6e-73)
		tmp = t_2;
	elseif (k <= 2.6e-15)
		tmp = c * (y0 * t_5);
	elseif (k <= 1.25e+182)
		tmp = t_4;
	else
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y3 * N[(N[(j * t$95$1), $MachinePrecision] + N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -9e+112], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.1e-71], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.9e-100], t$95$3, If[LessEqual[k, -1.28e-151], N[(y0 * N[(y3 * N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -5e-173], t$95$2, If[LessEqual[k, 2.75e-253], t$95$3, If[LessEqual[k, 7.8e-171], t$95$4, If[LessEqual[k, 1.6e-129], N[(t$95$5 * N[(c * y0), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 5.6e-73], t$95$2, If[LessEqual[k, 2.6e-15], N[(c * N[(y0 * t$95$5), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.25e+182], t$95$4, N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if k < -8.9999999999999998e112

   1. Initial program 36.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 63.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 63.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 63.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 63.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 63.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 63.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in i around -inf 64.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z - y \cdot y5\right)\right)\right)} \]

   if -8.9999999999999998e112 < k < -2.1000000000000001e-71

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 49.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 54.8%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if -2.1000000000000001e-71 < k < -1.89999999999999999e-100 or -5.0000000000000002e-173 < k < 2.74999999999999987e-253

   1. Initial program 23.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 46.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 46.1%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 46.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in y3 around -inf 55.2%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if -1.89999999999999999e-100 < k < -1.28000000000000005e-151

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 15.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 15.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 15.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 15.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 15.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 15.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y3 around -inf 29.2%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 29.2%

         \[\leadsto \color{blue}{-j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

      2. associate-*r* 29.2%

         \[\leadsto -\color{blue}{\left(j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

      3. distribute-lft-neg-in 29.2%

         \[\leadsto \color{blue}{\left(-j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

      4. *-commutative 29.2%

         \[\leadsto \left(-\color{blue}{y3 \cdot j}\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \]

      5. distribute-rgt-neg-in 29.2%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(-j\right)\right)} \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \]

   7. Simplified 29.2%

      \[\leadsto \color{blue}{\left(y3 \cdot \left(-j\right)\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

   8. Taylor expanded in y1 around 0 31.0%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 31.0%

         \[\leadsto \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

      2. *-commutative 31.0%

         \[\leadsto \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \cdot j \]

      3. associate-*l* 44.7%

         \[\leadsto \color{blue}{\left(y3 \cdot y5\right) \cdot \left(y0 \cdot j\right)} \]

   10. Simplified 44.7%

       \[\leadsto \color{blue}{\left(y3 \cdot y5\right) \cdot \left(y0 \cdot j\right)} \]

   11. Taylor expanded in y3 around 0 31.0%

       \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   12. Step-by-step derivation

       1. *-commutative 31.0%

          \[\leadsto \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

       2. associate-*l* 58.3%

          \[\leadsto \color{blue}{y0 \cdot \left(\left(y3 \cdot y5\right) \cdot j\right)} \]

       3. associate-*l* 58.3%

          \[\leadsto y0 \cdot \color{blue}{\left(y3 \cdot \left(y5 \cdot j\right)\right)} \]

       4. *-commutative 58.3%

          \[\leadsto y0 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y5\right)}\right) \]

   13. Simplified 58.3%

       \[\leadsto \color{blue}{y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)} \]

   if -1.28000000000000005e-151 < k < -5.0000000000000002e-173 or 1.6000000000000001e-129 < k < 5.60000000000000023e-73

   1. Initial program 22.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 22.2%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 55.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in x around inf 62.2%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 62.2%

         \[\leadsto \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot a} \]

      2. associate-*l* 67.8%

         \[\leadsto \color{blue}{x \cdot \left(\left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right) \cdot a\right)} \]

      3. +-commutative 67.8%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)} \cdot a\right) \]

      4. mul-1-neg 67.8%

         \[\leadsto x \cdot \left(\left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right) \cdot a\right) \]

      5. unsub-neg 67.8%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y - y1 \cdot y2\right)} \cdot a\right) \]

   7. Simplified 67.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(b \cdot y - y1 \cdot y2\right) \cdot a\right)} \]

   if 2.74999999999999987e-253 < k < 7.7999999999999997e-171 or 2.60000000000000004e-15 < k < 1.24999999999999993e182

   1. Initial program 19.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 67.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 67.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 67.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 67.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 67.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 67.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if 7.7999999999999997e-171 < k < 1.6000000000000001e-129

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 52.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 52.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 52.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 52.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 67.7%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 83.6%

         \[\leadsto \color{blue}{\left(c \cdot y0\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)} \]

   7. Simplified 83.6%

      \[\leadsto \color{blue}{\left(c \cdot y0\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)} \]

   if 5.60000000000000023e-73 < k < 2.60000000000000004e-15

   1. Initial program 38.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 24.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 24.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 24.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 24.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 24.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 24.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 24.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 24.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 24.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 47.9%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.24999999999999993e182 < k

   1. Initial program 16.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 57.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around -inf 63.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 63.7%

         \[\leadsto \color{blue}{-y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)} \]

      2. *-commutative 63.7%

         \[\leadsto -\color{blue}{\left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right) \cdot y0} \]

      3. distribute-rgt-neg-in 63.7%

         \[\leadsto \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right) \cdot \left(-y0\right)} \]

      4. +-commutative 63.7%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot y5 + -1 \cdot \left(c \cdot x\right)\right)}\right) \cdot \left(-y0\right) \]

      5. mul-1-neg 63.7%

         \[\leadsto \left(y2 \cdot \left(k \cdot y5 + \color{blue}{\left(-c \cdot x\right)}\right)\right) \cdot \left(-y0\right) \]

      6. unsub-neg 63.7%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot y5 - c \cdot x\right)}\right) \cdot \left(-y0\right) \]

      7. *-commutative 63.7%

         \[\leadsto \left(y2 \cdot \left(\color{blue}{y5 \cdot k} - c \cdot x\right)\right) \cdot \left(-y0\right) \]

      8. *-commutative 63.7%

         \[\leadsto \left(y2 \cdot \left(y5 \cdot k - \color{blue}{x \cdot c}\right)\right) \cdot \left(-y0\right) \]

   5. Simplified 63.7%

      \[\leadsto \color{blue}{\left(y2 \cdot \left(y5 \cdot k - x \cdot c\right)\right) \cdot \left(-y0\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 61.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -9 \cdot 10^{+112}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -2.1 \cdot 10^{-71}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -1.9 \cdot 10^{-100}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.28 \cdot 10^{-151}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -5 \cdot 10^{-173}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.75 \cdot 10^{-253}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 7.8 \cdot 10^{-171}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{-129}:\\ \;\;\;\;\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0\right)\\ \mathbf{elif}\;k \leq 5.6 \cdot 10^{-73}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.6 \cdot 10^{-15}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{+182}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \end{array} \]

Alternative 5: 38.4% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := a \cdot y5 - c \cdot y4\\ t_3 := y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_4 := t \cdot j - y \cdot k\\ \mathbf{if}\;j \leq -1.15 \cdot 10^{+140}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -2.25 \cdot 10^{+60}:\\ \;\;\;\;\left(y2 \cdot y4 - z \cdot i\right) \cdot \left(k \cdot y1\right)\\ \mathbf{elif}\;j \leq -2.8 \cdot 10^{-52}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1.25 \cdot 10^{-239}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t_2\right)\\ \mathbf{elif}\;j \leq -8.5 \cdot 10^{-283}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 9.8 \cdot 10^{-256}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq 2.7 \cdot 10^{-110}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{-7}:\\ \;\;\;\;t \cdot \left(y2 \cdot t_2\right)\\ \mathbf{elif}\;j \leq 4 \cdot 10^{+59}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_4 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 2.05 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 4.3 \cdot 10^{+222}:\\ \;\;\;\;b \cdot \left(y4 \cdot t_4\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_2 (- (* a y5) (* c y4)))
        (t_3
         (*
          y0
          (+
           (+ (* c (- (* x y2) (* z y3))) (* y5 (- (* j y3) (* k y2))))
           (* b (- (* z k) (* x j))))))
        (t_4 (- (* t j) (* y k))))
   (if (<= j -1.15e+140)
     t_1
     (if (<= j -2.25e+60)
       (* (- (* y2 y4) (* z i)) (* k y1))
       (if (<= j -2.8e-52)
         t_3
         (if (<= j -1.25e-239)
           (*
            y2
            (+
             (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
             (* t t_2)))
           (if (<= j -8.5e-283)
             (* y2 (* y5 (- (* t a) (* k y0))))
             (if (<= j 9.8e-256)
               (* i (* k (- (* y y5) (* z y1))))
               (if (<= j 2.7e-110)
                 t_3
                 (if (<= j 6.5e-7)
                   (* t (* y2 t_2))
                   (if (<= j 4e+59)
                     (*
                      y4
                      (+
                       (+ (* b t_4) (* y1 (- (* k y2) (* j y3))))
                       (* c (- (* y y3) (* t y2)))))
                     (if (<= j 2.05e+188)
                       (* y0 (* j (- (* y3 y5) (* x b))))
                       (if (<= j 4.3e+222) (* b (* y4 t_4)) t_1)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_2 = (a * y5) - (c * y4);
	double t_3 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	double t_4 = (t * j) - (y * k);
	double tmp;
	if (j <= -1.15e+140) {
		tmp = t_1;
	} else if (j <= -2.25e+60) {
		tmp = ((y2 * y4) - (z * i)) * (k * y1);
	} else if (j <= -2.8e-52) {
		tmp = t_3;
	} else if (j <= -1.25e-239) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (j <= -8.5e-283) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (j <= 9.8e-256) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (j <= 2.7e-110) {
		tmp = t_3;
	} else if (j <= 6.5e-7) {
		tmp = t * (y2 * t_2);
	} else if (j <= 4e+59) {
		tmp = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (j <= 2.05e+188) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (j <= 4.3e+222) {
		tmp = b * (y4 * t_4);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_2 = (a * y5) - (c * y4)
    t_3 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
    t_4 = (t * j) - (y * k)
    if (j <= (-1.15d+140)) then
        tmp = t_1
    else if (j <= (-2.25d+60)) then
        tmp = ((y2 * y4) - (z * i)) * (k * y1)
    else if (j <= (-2.8d-52)) then
        tmp = t_3
    else if (j <= (-1.25d-239)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
    else if (j <= (-8.5d-283)) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (j <= 9.8d-256) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (j <= 2.7d-110) then
        tmp = t_3
    else if (j <= 6.5d-7) then
        tmp = t * (y2 * t_2)
    else if (j <= 4d+59) then
        tmp = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (j <= 2.05d+188) then
        tmp = y0 * (j * ((y3 * y5) - (x * b)))
    else if (j <= 4.3d+222) then
        tmp = b * (y4 * t_4)
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_2 = (a * y5) - (c * y4);
	double t_3 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	double t_4 = (t * j) - (y * k);
	double tmp;
	if (j <= -1.15e+140) {
		tmp = t_1;
	} else if (j <= -2.25e+60) {
		tmp = ((y2 * y4) - (z * i)) * (k * y1);
	} else if (j <= -2.8e-52) {
		tmp = t_3;
	} else if (j <= -1.25e-239) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (j <= -8.5e-283) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (j <= 9.8e-256) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (j <= 2.7e-110) {
		tmp = t_3;
	} else if (j <= 6.5e-7) {
		tmp = t * (y2 * t_2);
	} else if (j <= 4e+59) {
		tmp = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (j <= 2.05e+188) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (j <= 4.3e+222) {
		tmp = b * (y4 * t_4);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_2 = (a * y5) - (c * y4)
	t_3 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
	t_4 = (t * j) - (y * k)
	tmp = 0
	if j <= -1.15e+140:
		tmp = t_1
	elif j <= -2.25e+60:
		tmp = ((y2 * y4) - (z * i)) * (k * y1)
	elif j <= -2.8e-52:
		tmp = t_3
	elif j <= -1.25e-239:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
	elif j <= -8.5e-283:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif j <= 9.8e-256:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif j <= 2.7e-110:
		tmp = t_3
	elif j <= 6.5e-7:
		tmp = t * (y2 * t_2)
	elif j <= 4e+59:
		tmp = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif j <= 2.05e+188:
		tmp = y0 * (j * ((y3 * y5) - (x * b)))
	elif j <= 4.3e+222:
		tmp = b * (y4 * t_4)
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_2 = Float64(Float64(a * y5) - Float64(c * y4))
	t_3 = Float64(y0 * Float64(Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	t_4 = Float64(Float64(t * j) - Float64(y * k))
	tmp = 0.0
	if (j <= -1.15e+140)
		tmp = t_1;
	elseif (j <= -2.25e+60)
		tmp = Float64(Float64(Float64(y2 * y4) - Float64(z * i)) * Float64(k * y1));
	elseif (j <= -2.8e-52)
		tmp = t_3;
	elseif (j <= -1.25e-239)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_2)));
	elseif (j <= -8.5e-283)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (j <= 9.8e-256)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (j <= 2.7e-110)
		tmp = t_3;
	elseif (j <= 6.5e-7)
		tmp = Float64(t * Float64(y2 * t_2));
	elseif (j <= 4e+59)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_4) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (j <= 2.05e+188)
		tmp = Float64(y0 * Float64(j * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (j <= 4.3e+222)
		tmp = Float64(b * Float64(y4 * t_4));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_2 = (a * y5) - (c * y4);
	t_3 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	t_4 = (t * j) - (y * k);
	tmp = 0.0;
	if (j <= -1.15e+140)
		tmp = t_1;
	elseif (j <= -2.25e+60)
		tmp = ((y2 * y4) - (z * i)) * (k * y1);
	elseif (j <= -2.8e-52)
		tmp = t_3;
	elseif (j <= -1.25e-239)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	elseif (j <= -8.5e-283)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (j <= 9.8e-256)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (j <= 2.7e-110)
		tmp = t_3;
	elseif (j <= 6.5e-7)
		tmp = t * (y2 * t_2);
	elseif (j <= 4e+59)
		tmp = y4 * (((b * t_4) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (j <= 2.05e+188)
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	elseif (j <= 4.3e+222)
		tmp = b * (y4 * t_4);
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y0 * N[(N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1.15e+140], t$95$1, If[LessEqual[j, -2.25e+60], N[(N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision] * N[(k * y1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.8e-52], t$95$3, If[LessEqual[j, -1.25e-239], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -8.5e-283], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 9.8e-256], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 2.7e-110], t$95$3, If[LessEqual[j, 6.5e-7], N[(t * N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 4e+59], N[(y4 * N[(N[(N[(b * t$95$4), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 2.05e+188], N[(y0 * N[(j * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 4.3e+222], N[(b * N[(y4 * t$95$4), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if j < -1.14999999999999995e140 or 4.2999999999999999e222 < j

   1. Initial program 19.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 78.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 78.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 78.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 78.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 78.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 78.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if -1.14999999999999995e140 < j < -2.25000000000000006e60

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 60.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 60.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 60.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 60.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 60.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in y1 around inf 61.1%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(-1 \cdot \left(i \cdot z\right) + y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 55.2%

         \[\leadsto \color{blue}{\left(k \cdot y1\right) \cdot \left(-1 \cdot \left(i \cdot z\right) + y2 \cdot y4\right)} \]

      2. *-commutative 55.2%

         \[\leadsto \color{blue}{\left(y1 \cdot k\right)} \cdot \left(-1 \cdot \left(i \cdot z\right) + y2 \cdot y4\right) \]

      3. +-commutative 55.2%

         \[\leadsto \left(y1 \cdot k\right) \cdot \color{blue}{\left(y2 \cdot y4 + -1 \cdot \left(i \cdot z\right)\right)} \]

      4. mul-1-neg 55.2%

         \[\leadsto \left(y1 \cdot k\right) \cdot \left(y2 \cdot y4 + \color{blue}{\left(-i \cdot z\right)}\right) \]

      5. unsub-neg 55.2%

         \[\leadsto \left(y1 \cdot k\right) \cdot \color{blue}{\left(y2 \cdot y4 - i \cdot z\right)} \]

   7. Simplified 55.2%

      \[\leadsto \color{blue}{\left(y1 \cdot k\right) \cdot \left(y2 \cdot y4 - i \cdot z\right)} \]

   if -2.25000000000000006e60 < j < -2.79999999999999995e-52 or 9.79999999999999993e-256 < j < 2.6999999999999998e-110

   1. Initial program 34.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 51.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 51.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 51.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 51.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   if -2.79999999999999995e-52 < j < -1.25e-239

   1. Initial program 38.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 57.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -1.25e-239 < j < -8.49999999999999997e-283

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 0.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y5 around -inf 67.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y2 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]

   if -8.49999999999999997e-283 < j < 9.79999999999999993e-256

   1. Initial program 17.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 51.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 51.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 51.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 51.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 51.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 51.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in i around -inf 75.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z - y \cdot y5\right)\right)\right)} \]

   if 2.6999999999999998e-110 < j < 6.50000000000000024e-7

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 43.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 56.7%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 6.50000000000000024e-7 < j < 3.99999999999999989e59

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 69.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 3.99999999999999989e59 < j < 2.05e188

   1. Initial program 23.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 54.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 54.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 54.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 54.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 54.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 54.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 54.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 54.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 54.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 62.3%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 62.2%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)} \]

      2. *-commutative 62.2%

         \[\leadsto \color{blue}{\left(y0 \cdot j\right)} \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right) \]

      3. associate-*l* 65.9%

         \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]

      4. +-commutative 65.9%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      5. mul-1-neg 65.9%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      6. unsub-neg 65.9%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      7. *-commutative 65.9%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 65.9%

      \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 2.05e188 < j < 4.2999999999999999e222

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 40.5%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 40.5%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 40.5%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in b around inf 80.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 63.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.15 \cdot 10^{+140}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq -2.25 \cdot 10^{+60}:\\ \;\;\;\;\left(y2 \cdot y4 - z \cdot i\right) \cdot \left(k \cdot y1\right)\\ \mathbf{elif}\;j \leq -2.8 \cdot 10^{-52}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq -1.25 \cdot 10^{-239}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -8.5 \cdot 10^{-283}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 9.8 \cdot 10^{-256}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq 2.7 \cdot 10^{-110}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 6.5 \cdot 10^{-7}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 4 \cdot 10^{+59}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 2.05 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 4.3 \cdot 10^{+222}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 6: 39.2% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := b \cdot y4 - i \cdot y5\\ t_3 := j \cdot \left(\left(t \cdot t_2 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_4 := a \cdot y5 - c \cdot y4\\ t_5 := t \cdot j - y \cdot k\\ t_6 := y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;j \leq -8.5 \cdot 10^{+138}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -9.5 \cdot 10^{+60}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot t_1 - y \cdot t_2\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq -2.85 \cdot 10^{-52}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq -2.2 \cdot 10^{-239}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t_4\right)\\ \mathbf{elif}\;j \leq -5 \cdot 10^{-283}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 3.5 \cdot 10^{-256}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq 7 \cdot 10^{-110}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;j \leq 6.4 \cdot 10^{-7}:\\ \;\;\;\;t \cdot \left(y2 \cdot t_4\right)\\ \mathbf{elif}\;j \leq 1.95 \cdot 10^{+59}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_5 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 4.2 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 4.6 \cdot 10^{+223}:\\ \;\;\;\;b \cdot \left(y4 \cdot t_5\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2 (- (* b y4) (* i y5)))
        (t_3
         (*
          j
          (+
           (+ (* t t_2) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_4 (- (* a y5) (* c y4)))
        (t_5 (- (* t j) (* y k)))
        (t_6
         (*
          y0
          (+
           (+ (* c (- (* x y2) (* z y3))) (* y5 (- (* j y3) (* k y2))))
           (* b (- (* z k) (* x j)))))))
   (if (<= j -8.5e+138)
     t_3
     (if (<= j -9.5e+60)
       (* k (+ (- (* y2 t_1) (* y t_2)) (* z (- (* b y0) (* i y1)))))
       (if (<= j -2.85e-52)
         t_6
         (if (<= j -2.2e-239)
           (* y2 (+ (+ (* k t_1) (* x (- (* c y0) (* a y1)))) (* t t_4)))
           (if (<= j -5e-283)
             (* y2 (* y5 (- (* t a) (* k y0))))
             (if (<= j 3.5e-256)
               (* i (* k (- (* y y5) (* z y1))))
               (if (<= j 7e-110)
                 t_6
                 (if (<= j 6.4e-7)
                   (* t (* y2 t_4))
                   (if (<= j 1.95e+59)
                     (*
                      y4
                      (+
                       (+ (* b t_5) (* y1 (- (* k y2) (* j y3))))
                       (* c (- (* y y3) (* t y2)))))
                     (if (<= j 4.2e+188)
                       (* y0 (* j (- (* y3 y5) (* x b))))
                       (if (<= j 4.6e+223) (* b (* y4 t_5)) t_3)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = (b * y4) - (i * y5);
	double t_3 = j * (((t * t_2) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_4 = (a * y5) - (c * y4);
	double t_5 = (t * j) - (y * k);
	double t_6 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (j <= -8.5e+138) {
		tmp = t_3;
	} else if (j <= -9.5e+60) {
		tmp = k * (((y2 * t_1) - (y * t_2)) + (z * ((b * y0) - (i * y1))));
	} else if (j <= -2.85e-52) {
		tmp = t_6;
	} else if (j <= -2.2e-239) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_4));
	} else if (j <= -5e-283) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (j <= 3.5e-256) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (j <= 7e-110) {
		tmp = t_6;
	} else if (j <= 6.4e-7) {
		tmp = t * (y2 * t_4);
	} else if (j <= 1.95e+59) {
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (j <= 4.2e+188) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (j <= 4.6e+223) {
		tmp = b * (y4 * t_5);
	} else {
		tmp = t_3;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = (b * y4) - (i * y5)
    t_3 = j * (((t * t_2) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_4 = (a * y5) - (c * y4)
    t_5 = (t * j) - (y * k)
    t_6 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
    if (j <= (-8.5d+138)) then
        tmp = t_3
    else if (j <= (-9.5d+60)) then
        tmp = k * (((y2 * t_1) - (y * t_2)) + (z * ((b * y0) - (i * y1))))
    else if (j <= (-2.85d-52)) then
        tmp = t_6
    else if (j <= (-2.2d-239)) then
        tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_4))
    else if (j <= (-5d-283)) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (j <= 3.5d-256) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (j <= 7d-110) then
        tmp = t_6
    else if (j <= 6.4d-7) then
        tmp = t * (y2 * t_4)
    else if (j <= 1.95d+59) then
        tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (j <= 4.2d+188) then
        tmp = y0 * (j * ((y3 * y5) - (x * b)))
    else if (j <= 4.6d+223) then
        tmp = b * (y4 * t_5)
    else
        tmp = t_3
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = (b * y4) - (i * y5);
	double t_3 = j * (((t * t_2) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_4 = (a * y5) - (c * y4);
	double t_5 = (t * j) - (y * k);
	double t_6 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (j <= -8.5e+138) {
		tmp = t_3;
	} else if (j <= -9.5e+60) {
		tmp = k * (((y2 * t_1) - (y * t_2)) + (z * ((b * y0) - (i * y1))));
	} else if (j <= -2.85e-52) {
		tmp = t_6;
	} else if (j <= -2.2e-239) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_4));
	} else if (j <= -5e-283) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (j <= 3.5e-256) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (j <= 7e-110) {
		tmp = t_6;
	} else if (j <= 6.4e-7) {
		tmp = t * (y2 * t_4);
	} else if (j <= 1.95e+59) {
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (j <= 4.2e+188) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (j <= 4.6e+223) {
		tmp = b * (y4 * t_5);
	} else {
		tmp = t_3;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y1 * y4) - (y0 * y5)
	t_2 = (b * y4) - (i * y5)
	t_3 = j * (((t * t_2) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_4 = (a * y5) - (c * y4)
	t_5 = (t * j) - (y * k)
	t_6 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
	tmp = 0
	if j <= -8.5e+138:
		tmp = t_3
	elif j <= -9.5e+60:
		tmp = k * (((y2 * t_1) - (y * t_2)) + (z * ((b * y0) - (i * y1))))
	elif j <= -2.85e-52:
		tmp = t_6
	elif j <= -2.2e-239:
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_4))
	elif j <= -5e-283:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif j <= 3.5e-256:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif j <= 7e-110:
		tmp = t_6
	elif j <= 6.4e-7:
		tmp = t * (y2 * t_4)
	elif j <= 1.95e+59:
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif j <= 4.2e+188:
		tmp = y0 * (j * ((y3 * y5) - (x * b)))
	elif j <= 4.6e+223:
		tmp = b * (y4 * t_5)
	else:
		tmp = t_3
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(Float64(b * y4) - Float64(i * y5))
	t_3 = Float64(j * Float64(Float64(Float64(t * t_2) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_4 = Float64(Float64(a * y5) - Float64(c * y4))
	t_5 = Float64(Float64(t * j) - Float64(y * k))
	t_6 = Float64(y0 * Float64(Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (j <= -8.5e+138)
		tmp = t_3;
	elseif (j <= -9.5e+60)
		tmp = Float64(k * Float64(Float64(Float64(y2 * t_1) - Float64(y * t_2)) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))));
	elseif (j <= -2.85e-52)
		tmp = t_6;
	elseif (j <= -2.2e-239)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_4)));
	elseif (j <= -5e-283)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (j <= 3.5e-256)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (j <= 7e-110)
		tmp = t_6;
	elseif (j <= 6.4e-7)
		tmp = Float64(t * Float64(y2 * t_4));
	elseif (j <= 1.95e+59)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_5) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (j <= 4.2e+188)
		tmp = Float64(y0 * Float64(j * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (j <= 4.6e+223)
		tmp = Float64(b * Float64(y4 * t_5));
	else
		tmp = t_3;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y1 * y4) - (y0 * y5);
	t_2 = (b * y4) - (i * y5);
	t_3 = j * (((t * t_2) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_4 = (a * y5) - (c * y4);
	t_5 = (t * j) - (y * k);
	t_6 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	tmp = 0.0;
	if (j <= -8.5e+138)
		tmp = t_3;
	elseif (j <= -9.5e+60)
		tmp = k * (((y2 * t_1) - (y * t_2)) + (z * ((b * y0) - (i * y1))));
	elseif (j <= -2.85e-52)
		tmp = t_6;
	elseif (j <= -2.2e-239)
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * t_4));
	elseif (j <= -5e-283)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (j <= 3.5e-256)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (j <= 7e-110)
		tmp = t_6;
	elseif (j <= 6.4e-7)
		tmp = t * (y2 * t_4);
	elseif (j <= 1.95e+59)
		tmp = y4 * (((b * t_5) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (j <= 4.2e+188)
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	elseif (j <= 4.6e+223)
		tmp = b * (y4 * t_5);
	else
		tmp = t_3;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(N[(N[(t * t$95$2), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y0 * N[(N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -8.5e+138], t$95$3, If[LessEqual[j, -9.5e+60], N[(k * N[(N[(N[(y2 * t$95$1), $MachinePrecision] - N[(y * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -2.85e-52], t$95$6, If[LessEqual[j, -2.2e-239], N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -5e-283], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.5e-256], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 7e-110], t$95$6, If[LessEqual[j, 6.4e-7], N[(t * N[(y2 * t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.95e+59], N[(y4 * N[(N[(N[(b * t$95$5), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 4.2e+188], N[(y0 * N[(j * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 4.6e+223], N[(b * N[(y4 * t$95$5), $MachinePrecision]), $MachinePrecision], t$95$3]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if j < -8.5000000000000006e138 or 4.60000000000000009e223 < j

   1. Initial program 19.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 78.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 78.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 78.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 78.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 78.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 78.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if -8.5000000000000006e138 < j < -9.49999999999999988e60

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 60.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 60.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 60.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 60.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 60.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   if -9.49999999999999988e60 < j < -2.8499999999999999e-52 or 3.50000000000000014e-256 < j < 6.99999999999999947e-110

   1. Initial program 34.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 51.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 51.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 51.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 51.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   if -2.8499999999999999e-52 < j < -2.19999999999999983e-239

   1. Initial program 38.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 57.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -2.19999999999999983e-239 < j < -5.0000000000000001e-283

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 0.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y5 around -inf 67.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y2 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]

   if -5.0000000000000001e-283 < j < 3.50000000000000014e-256

   1. Initial program 17.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 51.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 51.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 51.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 51.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 51.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 51.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in i around -inf 75.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z - y \cdot y5\right)\right)\right)} \]

   if 6.99999999999999947e-110 < j < 6.4000000000000001e-7

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 43.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 56.7%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 6.4000000000000001e-7 < j < 1.95000000000000011e59

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 69.0%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 1.95000000000000011e59 < j < 4.19999999999999973e188

   1. Initial program 23.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 54.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 54.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 54.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 54.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 54.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 54.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 54.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 54.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 54.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 62.3%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 62.2%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)} \]

      2. *-commutative 62.2%

         \[\leadsto \color{blue}{\left(y0 \cdot j\right)} \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right) \]

      3. associate-*l* 65.9%

         \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]

      4. +-commutative 65.9%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      5. mul-1-neg 65.9%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      6. unsub-neg 65.9%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      7. *-commutative 65.9%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 65.9%

      \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 4.19999999999999973e188 < j < 4.60000000000000009e223

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 40.5%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 40.5%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 40.5%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in b around inf 80.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 63.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -8.5 \cdot 10^{+138}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq -9.5 \cdot 10^{+60}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq -2.85 \cdot 10^{-52}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq -2.2 \cdot 10^{-239}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -5 \cdot 10^{-283}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 3.5 \cdot 10^{-256}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq 7 \cdot 10^{-110}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 6.4 \cdot 10^{-7}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 1.95 \cdot 10^{+59}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq 4.2 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 4.6 \cdot 10^{+223}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 7: 35.6% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot t_1\right)\right)\\ t_3 := t \cdot \left(b \cdot y4 - i \cdot y5\right)\\ t_4 := x \cdot c - k \cdot y5\\ \mathbf{if}\;b \leq -2.5 \cdot 10^{+150}:\\ \;\;\;\;j \cdot t_3\\ \mathbf{elif}\;b \leq -1.1 \cdot 10^{-41}:\\ \;\;\;\;j \cdot \left(\left(t_3 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{-75}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -3.2 \cdot 10^{-92}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq -7 \cdot 10^{-197}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-250}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{-197}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2.3 \cdot 10^{-137}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot t_4\right)\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-98}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 10^{-21}:\\ \;\;\;\;y2 \cdot \left(y0 \cdot t_4\right)\\ \mathbf{elif}\;b \leq 8.2 \cdot 10^{+138}:\\ \;\;\;\;y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot k\right) \cdot \left(z \cdot y0 - y \cdot y4\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (- (* z (- (* a y1) (* c y0))) (* j t_1)))))
        (t_3 (* t (- (* b y4) (* i y5))))
        (t_4 (- (* x c) (* k y5))))
   (if (<= b -2.5e+150)
     (* j t_3)
     (if (<= b -1.1e-41)
       (*
        j
        (+ (+ t_3 (* y3 (- (* y0 y5) (* y1 y4)))) (* x (- (* i y1) (* b y0)))))
       (if (<= b -7.5e-75)
         (* x (* a (- (* y b) (* y1 y2))))
         (if (<= b -3.2e-92)
           (* j (* y0 (* y3 y5)))
           (if (<= b -7e-197)
             t_2
             (if (<= b 1.25e-250)
               (*
                y2
                (+
                 (+ (* k t_1) (* x (- (* c y0) (* a y1))))
                 (* t (- (* a y5) (* c y4)))))
               (if (<= b 3.6e-197)
                 (* y3 (* a (- (* z y1) (* y y5))))
                 (if (<= b 2.3e-137)
                   (* y0 (* y2 t_4))
                   (if (<= b 1.25e-98)
                     t_2
                     (if (<= b 1e-21)
                       (* y2 (* y0 t_4))
                       (if (<= b 8.2e+138)
                         (*
                          y1
                          (+
                           (-
                            (* y4 (- (* k y2) (* j y3)))
                            (* a (- (* x y2) (* z y3))))
                           (* i (- (* x j) (* z k)))))
                         (* (* b k) (- (* z y0) (* y y4))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	double t_3 = t * ((b * y4) - (i * y5));
	double t_4 = (x * c) - (k * y5);
	double tmp;
	if (b <= -2.5e+150) {
		tmp = j * t_3;
	} else if (b <= -1.1e-41) {
		tmp = j * ((t_3 + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (b <= -7.5e-75) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (b <= -3.2e-92) {
		tmp = j * (y0 * (y3 * y5));
	} else if (b <= -7e-197) {
		tmp = t_2;
	} else if (b <= 1.25e-250) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (b <= 3.6e-197) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (b <= 2.3e-137) {
		tmp = y0 * (y2 * t_4);
	} else if (b <= 1.25e-98) {
		tmp = t_2;
	} else if (b <= 1e-21) {
		tmp = y2 * (y0 * t_4);
	} else if (b <= 8.2e+138) {
		tmp = y1 * (((y4 * ((k * y2) - (j * y3))) - (a * ((x * y2) - (z * y3)))) + (i * ((x * j) - (z * k))));
	} else {
		tmp = (b * k) * ((z * y0) - (y * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)))
    t_3 = t * ((b * y4) - (i * y5))
    t_4 = (x * c) - (k * y5)
    if (b <= (-2.5d+150)) then
        tmp = j * t_3
    else if (b <= (-1.1d-41)) then
        tmp = j * ((t_3 + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    else if (b <= (-7.5d-75)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (b <= (-3.2d-92)) then
        tmp = j * (y0 * (y3 * y5))
    else if (b <= (-7d-197)) then
        tmp = t_2
    else if (b <= 1.25d-250) then
        tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (b <= 3.6d-197) then
        tmp = y3 * (a * ((z * y1) - (y * y5)))
    else if (b <= 2.3d-137) then
        tmp = y0 * (y2 * t_4)
    else if (b <= 1.25d-98) then
        tmp = t_2
    else if (b <= 1d-21) then
        tmp = y2 * (y0 * t_4)
    else if (b <= 8.2d+138) then
        tmp = y1 * (((y4 * ((k * y2) - (j * y3))) - (a * ((x * y2) - (z * y3)))) + (i * ((x * j) - (z * k))))
    else
        tmp = (b * k) * ((z * y0) - (y * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	double t_3 = t * ((b * y4) - (i * y5));
	double t_4 = (x * c) - (k * y5);
	double tmp;
	if (b <= -2.5e+150) {
		tmp = j * t_3;
	} else if (b <= -1.1e-41) {
		tmp = j * ((t_3 + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (b <= -7.5e-75) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (b <= -3.2e-92) {
		tmp = j * (y0 * (y3 * y5));
	} else if (b <= -7e-197) {
		tmp = t_2;
	} else if (b <= 1.25e-250) {
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (b <= 3.6e-197) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (b <= 2.3e-137) {
		tmp = y0 * (y2 * t_4);
	} else if (b <= 1.25e-98) {
		tmp = t_2;
	} else if (b <= 1e-21) {
		tmp = y2 * (y0 * t_4);
	} else if (b <= 8.2e+138) {
		tmp = y1 * (((y4 * ((k * y2) - (j * y3))) - (a * ((x * y2) - (z * y3)))) + (i * ((x * j) - (z * k))));
	} else {
		tmp = (b * k) * ((z * y0) - (y * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y1 * y4) - (y0 * y5)
	t_2 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)))
	t_3 = t * ((b * y4) - (i * y5))
	t_4 = (x * c) - (k * y5)
	tmp = 0
	if b <= -2.5e+150:
		tmp = j * t_3
	elif b <= -1.1e-41:
		tmp = j * ((t_3 + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	elif b <= -7.5e-75:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif b <= -3.2e-92:
		tmp = j * (y0 * (y3 * y5))
	elif b <= -7e-197:
		tmp = t_2
	elif b <= 1.25e-250:
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif b <= 3.6e-197:
		tmp = y3 * (a * ((z * y1) - (y * y5)))
	elif b <= 2.3e-137:
		tmp = y0 * (y2 * t_4)
	elif b <= 1.25e-98:
		tmp = t_2
	elif b <= 1e-21:
		tmp = y2 * (y0 * t_4)
	elif b <= 8.2e+138:
		tmp = y1 * (((y4 * ((k * y2) - (j * y3))) - (a * ((x * y2) - (z * y3)))) + (i * ((x * j) - (z * k))))
	else:
		tmp = (b * k) * ((z * y0) - (y * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(j * t_1))))
	t_3 = Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))
	t_4 = Float64(Float64(x * c) - Float64(k * y5))
	tmp = 0.0
	if (b <= -2.5e+150)
		tmp = Float64(j * t_3);
	elseif (b <= -1.1e-41)
		tmp = Float64(j * Float64(Float64(t_3 + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (b <= -7.5e-75)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (b <= -3.2e-92)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (b <= -7e-197)
		tmp = t_2;
	elseif (b <= 1.25e-250)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (b <= 3.6e-197)
		tmp = Float64(y3 * Float64(a * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (b <= 2.3e-137)
		tmp = Float64(y0 * Float64(y2 * t_4));
	elseif (b <= 1.25e-98)
		tmp = t_2;
	elseif (b <= 1e-21)
		tmp = Float64(y2 * Float64(y0 * t_4));
	elseif (b <= 8.2e+138)
		tmp = Float64(y1 * Float64(Float64(Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))) - Float64(a * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(i * Float64(Float64(x * j) - Float64(z * k)))));
	else
		tmp = Float64(Float64(b * k) * Float64(Float64(z * y0) - Float64(y * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y1 * y4) - (y0 * y5);
	t_2 = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_1)));
	t_3 = t * ((b * y4) - (i * y5));
	t_4 = (x * c) - (k * y5);
	tmp = 0.0;
	if (b <= -2.5e+150)
		tmp = j * t_3;
	elseif (b <= -1.1e-41)
		tmp = j * ((t_3 + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	elseif (b <= -7.5e-75)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (b <= -3.2e-92)
		tmp = j * (y0 * (y3 * y5));
	elseif (b <= -7e-197)
		tmp = t_2;
	elseif (b <= 1.25e-250)
		tmp = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (b <= 3.6e-197)
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	elseif (b <= 2.3e-137)
		tmp = y0 * (y2 * t_4);
	elseif (b <= 1.25e-98)
		tmp = t_2;
	elseif (b <= 1e-21)
		tmp = y2 * (y0 * t_4);
	elseif (b <= 8.2e+138)
		tmp = y1 * (((y4 * ((k * y2) - (j * y3))) - (a * ((x * y2) - (z * y3)))) + (i * ((x * j) - (z * k))));
	else
		tmp = (b * k) * ((z * y0) - (y * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -2.5e+150], N[(j * t$95$3), $MachinePrecision], If[LessEqual[b, -1.1e-41], N[(j * N[(N[(t$95$3 + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -7.5e-75], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -3.2e-92], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -7e-197], t$95$2, If[LessEqual[b, 1.25e-250], N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.6e-197], N[(y3 * N[(a * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.3e-137], N[(y0 * N[(y2 * t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.25e-98], t$95$2, If[LessEqual[b, 1e-21], N[(y2 * N[(y0 * t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 8.2e+138], N[(y1 * N[(N[(N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(b * k), $MachinePrecision] * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if b < -2.50000000000000004e150

   1. Initial program 24.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 48.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 48.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 48.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 48.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 48.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 48.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 76.3%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if -2.50000000000000004e150 < b < -1.1e-41

   1. Initial program 27.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 61.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 61.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 61.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 61.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 61.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 61.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if -1.1e-41 < b < -7.50000000000000017e-75

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 70.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in x around inf 61.2%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 61.2%

         \[\leadsto \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot a} \]

      2. associate-*l* 62.6%

         \[\leadsto \color{blue}{x \cdot \left(\left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right) \cdot a\right)} \]

      3. +-commutative 62.6%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)} \cdot a\right) \]

      4. mul-1-neg 62.6%

         \[\leadsto x \cdot \left(\left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right) \cdot a\right) \]

      5. unsub-neg 62.6%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y - y1 \cdot y2\right)} \cdot a\right) \]

   7. Simplified 62.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(b \cdot y - y1 \cdot y2\right) \cdot a\right)} \]

   if -7.50000000000000017e-75 < b < -3.1999999999999997e-92

   1. Initial program 41.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 40.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 40.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 40.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 40.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 40.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 40.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y3 around -inf 40.7%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 40.7%

         \[\leadsto \color{blue}{-j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

      2. associate-*r* 22.5%

         \[\leadsto -\color{blue}{\left(j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

      3. distribute-lft-neg-in 22.5%

         \[\leadsto \color{blue}{\left(-j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

      4. *-commutative 22.5%

         \[\leadsto \left(-\color{blue}{y3 \cdot j}\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \]

      5. distribute-rgt-neg-in 22.5%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(-j\right)\right)} \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \]

   7. Simplified 22.5%

      \[\leadsto \color{blue}{\left(y3 \cdot \left(-j\right)\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

   8. Taylor expanded in y1 around 0 60.3%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 60.3%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

   10. Simplified 60.3%

       \[\leadsto \color{blue}{j \cdot \left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

   if -3.1999999999999997e-92 < b < -6.9999999999999996e-197 or 2.30000000000000008e-137 < b < 1.25000000000000005e-98

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y3 around -inf 63.3%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if -6.9999999999999996e-197 < b < 1.25000000000000007e-250

   1. Initial program 28.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 62.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if 1.25000000000000007e-250 < b < 3.5999999999999998e-197

   1. Initial program 9.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 9.1%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 36.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in y3 around inf 55.6%

      \[\leadsto \color{blue}{a \cdot \left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 55.6%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right) \cdot a} \]

      2. associate-*l* 55.6%

         \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   7. Simplified 55.6%

      \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   if 3.5999999999999998e-197 < b < 2.30000000000000008e-137

   1. Initial program 37.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 47.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around -inf 58.8%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 58.8%

         \[\leadsto \color{blue}{-y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)} \]

      2. *-commutative 58.8%

         \[\leadsto -\color{blue}{\left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right) \cdot y0} \]

      3. distribute-rgt-neg-in 58.8%

         \[\leadsto \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right) \cdot \left(-y0\right)} \]

      4. +-commutative 58.8%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot y5 + -1 \cdot \left(c \cdot x\right)\right)}\right) \cdot \left(-y0\right) \]

      5. mul-1-neg 58.8%

         \[\leadsto \left(y2 \cdot \left(k \cdot y5 + \color{blue}{\left(-c \cdot x\right)}\right)\right) \cdot \left(-y0\right) \]

      6. unsub-neg 58.8%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot y5 - c \cdot x\right)}\right) \cdot \left(-y0\right) \]

      7. *-commutative 58.8%

         \[\leadsto \left(y2 \cdot \left(\color{blue}{y5 \cdot k} - c \cdot x\right)\right) \cdot \left(-y0\right) \]

      8. *-commutative 58.8%

         \[\leadsto \left(y2 \cdot \left(y5 \cdot k - \color{blue}{x \cdot c}\right)\right) \cdot \left(-y0\right) \]

   5. Simplified 58.8%

      \[\leadsto \color{blue}{\left(y2 \cdot \left(y5 \cdot k - x \cdot c\right)\right) \cdot \left(-y0\right)} \]

   if 1.25000000000000005e-98 < b < 9.99999999999999908e-22

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 47.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 47.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 47.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in y2 around inf 61.2%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 54.6%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(c \cdot x - k \cdot y5\right)} \]

      2. *-commutative 54.6%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(c \cdot x - k \cdot y5\right) \]

      3. *-commutative 54.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x - \color{blue}{y5 \cdot k}\right) \]

      4. associate-*l* 67.6%

         \[\leadsto \color{blue}{y2 \cdot \left(y0 \cdot \left(c \cdot x - y5 \cdot k\right)\right)} \]

      5. *-commutative 67.6%

         \[\leadsto y2 \cdot \left(y0 \cdot \left(c \cdot x - \color{blue}{k \cdot y5}\right)\right) \]

   7. Simplified 67.6%

      \[\leadsto \color{blue}{y2 \cdot \left(y0 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if 9.99999999999999908e-22 < b < 8.19999999999999961e138

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 57.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 57.0%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + -1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      2. mul-1-neg 57.0%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      3. unsub-neg 57.0%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      4. *-commutative 57.0%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right) - a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      5. *-commutative 57.0%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      6. mul-1-neg 57.0%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right) \]

      7. *-commutative 57.0%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right)\right) \]

      8. *-commutative 57.0%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 57.0%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(x \cdot j - z \cdot k\right)\right)\right)} \]

   if 8.19999999999999961e138 < b

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 50.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 50.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 50.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 50.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 50.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 50.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in b around inf 48.8%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z - y \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 55.3%

         \[\leadsto \color{blue}{\left(b \cdot k\right) \cdot \left(y0 \cdot z - y \cdot y4\right)} \]

      2. *-commutative 55.3%

         \[\leadsto \left(b \cdot k\right) \cdot \left(y0 \cdot z - \color{blue}{y4 \cdot y}\right) \]

   7. Simplified 55.3%

      \[\leadsto \color{blue}{\left(b \cdot k\right) \cdot \left(y0 \cdot z - y4 \cdot y\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 62.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.5 \cdot 10^{+150}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq -1.1 \cdot 10^{-41}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{-75}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -3.2 \cdot 10^{-92}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq -7 \cdot 10^{-197}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-250}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{-197}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2.3 \cdot 10^{-137}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-98}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;b \leq 10^{-21}:\\ \;\;\;\;y2 \cdot \left(y0 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 8.2 \cdot 10^{+138}:\\ \;\;\;\;y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(b \cdot k\right) \cdot \left(z \cdot y0 - y \cdot y4\right)\\ \end{array} \]

Alternative 8: 34.5% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(b \cdot y4 - i \cdot y5\right)\\ t_2 := x \cdot c - k \cdot y5\\ t_3 := c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_4 := y1 \cdot y4 - y0 \cdot y5\\ \mathbf{if}\;b \leq -4.4 \cdot 10^{+150}:\\ \;\;\;\;j \cdot t_1\\ \mathbf{elif}\;b \leq -1.5 \cdot 10^{-41}:\\ \;\;\;\;j \cdot \left(\left(t_1 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -1.14 \cdot 10^{-79}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -2.75 \cdot 10^{-92}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -2.5 \cdot 10^{-196}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot t_4\right)\right)\\ \mathbf{elif}\;b \leq 7 \cdot 10^{-252}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t_4 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 3.5 \cdot 10^{-196}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 6.6 \cdot 10^{-137}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot t_2\right)\\ \mathbf{elif}\;b \leq 6.5 \cdot 10^{-99}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 8.5:\\ \;\;\;\;y2 \cdot \left(y0 \cdot t_2\right)\\ \mathbf{elif}\;b \leq 3.8 \cdot 10^{+110}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (- (* b y4) (* i y5))))
        (t_2 (- (* x c) (* k y5)))
        (t_3
         (*
          c
          (+
           (+ (* y0 (- (* x y2) (* z y3))) (* i (- (* z t) (* x y))))
           (* y4 (- (* y y3) (* t y2))))))
        (t_4 (- (* y1 y4) (* y0 y5))))
   (if (<= b -4.4e+150)
     (* j t_1)
     (if (<= b -1.5e-41)
       (*
        j
        (+ (+ t_1 (* y3 (- (* y0 y5) (* y1 y4)))) (* x (- (* i y1) (* b y0)))))
       (if (<= b -1.14e-79)
         (* x (* a (- (* y b) (* y1 y2))))
         (if (<= b -2.75e-92)
           t_3
           (if (<= b -2.5e-196)
             (*
              y3
              (+
               (* y (- (* c y4) (* a y5)))
               (- (* z (- (* a y1) (* c y0))) (* j t_4))))
             (if (<= b 7e-252)
               (*
                y2
                (+
                 (+ (* k t_4) (* x (- (* c y0) (* a y1))))
                 (* t (- (* a y5) (* c y4)))))
               (if (<= b 3.5e-196)
                 (* y3 (* a (- (* z y1) (* y y5))))
                 (if (<= b 6.6e-137)
                   (* y0 (* y2 t_2))
                   (if (<= b 6.5e-99)
                     t_3
                     (if (<= b 8.5)
                       (* y2 (* y0 t_2))
                       (if (<= b 3.8e+110)
                         (*
                          y5
                          (+
                           (* a (- (* t y2) (* y y3)))
                           (-
                            (* y0 (- (* j y3) (* k y2)))
                            (* i (- (* t j) (* y k))))))
                         t_3)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * ((b * y4) - (i * y5));
	double t_2 = (x * c) - (k * y5);
	double t_3 = c * (((y0 * ((x * y2) - (z * y3))) + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	double t_4 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (b <= -4.4e+150) {
		tmp = j * t_1;
	} else if (b <= -1.5e-41) {
		tmp = j * ((t_1 + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (b <= -1.14e-79) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (b <= -2.75e-92) {
		tmp = t_3;
	} else if (b <= -2.5e-196) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	} else if (b <= 7e-252) {
		tmp = y2 * (((k * t_4) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (b <= 3.5e-196) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (b <= 6.6e-137) {
		tmp = y0 * (y2 * t_2);
	} else if (b <= 6.5e-99) {
		tmp = t_3;
	} else if (b <= 8.5) {
		tmp = y2 * (y0 * t_2);
	} else if (b <= 3.8e+110) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k)))));
	} else {
		tmp = t_3;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = t * ((b * y4) - (i * y5))
    t_2 = (x * c) - (k * y5)
    t_3 = c * (((y0 * ((x * y2) - (z * y3))) + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))))
    t_4 = (y1 * y4) - (y0 * y5)
    if (b <= (-4.4d+150)) then
        tmp = j * t_1
    else if (b <= (-1.5d-41)) then
        tmp = j * ((t_1 + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    else if (b <= (-1.14d-79)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (b <= (-2.75d-92)) then
        tmp = t_3
    else if (b <= (-2.5d-196)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)))
    else if (b <= 7d-252) then
        tmp = y2 * (((k * t_4) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (b <= 3.5d-196) then
        tmp = y3 * (a * ((z * y1) - (y * y5)))
    else if (b <= 6.6d-137) then
        tmp = y0 * (y2 * t_2)
    else if (b <= 6.5d-99) then
        tmp = t_3
    else if (b <= 8.5d0) then
        tmp = y2 * (y0 * t_2)
    else if (b <= 3.8d+110) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k)))))
    else
        tmp = t_3
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * ((b * y4) - (i * y5));
	double t_2 = (x * c) - (k * y5);
	double t_3 = c * (((y0 * ((x * y2) - (z * y3))) + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	double t_4 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (b <= -4.4e+150) {
		tmp = j * t_1;
	} else if (b <= -1.5e-41) {
		tmp = j * ((t_1 + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (b <= -1.14e-79) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (b <= -2.75e-92) {
		tmp = t_3;
	} else if (b <= -2.5e-196) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	} else if (b <= 7e-252) {
		tmp = y2 * (((k * t_4) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (b <= 3.5e-196) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (b <= 6.6e-137) {
		tmp = y0 * (y2 * t_2);
	} else if (b <= 6.5e-99) {
		tmp = t_3;
	} else if (b <= 8.5) {
		tmp = y2 * (y0 * t_2);
	} else if (b <= 3.8e+110) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k)))));
	} else {
		tmp = t_3;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * ((b * y4) - (i * y5))
	t_2 = (x * c) - (k * y5)
	t_3 = c * (((y0 * ((x * y2) - (z * y3))) + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))))
	t_4 = (y1 * y4) - (y0 * y5)
	tmp = 0
	if b <= -4.4e+150:
		tmp = j * t_1
	elif b <= -1.5e-41:
		tmp = j * ((t_1 + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	elif b <= -1.14e-79:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif b <= -2.75e-92:
		tmp = t_3
	elif b <= -2.5e-196:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)))
	elif b <= 7e-252:
		tmp = y2 * (((k * t_4) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif b <= 3.5e-196:
		tmp = y3 * (a * ((z * y1) - (y * y5)))
	elif b <= 6.6e-137:
		tmp = y0 * (y2 * t_2)
	elif b <= 6.5e-99:
		tmp = t_3
	elif b <= 8.5:
		tmp = y2 * (y0 * t_2)
	elif b <= 3.8e+110:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k)))))
	else:
		tmp = t_3
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))
	t_2 = Float64(Float64(x * c) - Float64(k * y5))
	t_3 = Float64(c * Float64(Float64(Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(i * Float64(Float64(z * t) - Float64(x * y)))) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_4 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	tmp = 0.0
	if (b <= -4.4e+150)
		tmp = Float64(j * t_1);
	elseif (b <= -1.5e-41)
		tmp = Float64(j * Float64(Float64(t_1 + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (b <= -1.14e-79)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (b <= -2.75e-92)
		tmp = t_3;
	elseif (b <= -2.5e-196)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(j * t_4))));
	elseif (b <= 7e-252)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_4) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (b <= 3.5e-196)
		tmp = Float64(y3 * Float64(a * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (b <= 6.6e-137)
		tmp = Float64(y0 * Float64(y2 * t_2));
	elseif (b <= 6.5e-99)
		tmp = t_3;
	elseif (b <= 8.5)
		tmp = Float64(y2 * Float64(y0 * t_2));
	elseif (b <= 3.8e+110)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))) - Float64(i * Float64(Float64(t * j) - Float64(y * k))))));
	else
		tmp = t_3;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * ((b * y4) - (i * y5));
	t_2 = (x * c) - (k * y5);
	t_3 = c * (((y0 * ((x * y2) - (z * y3))) + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	t_4 = (y1 * y4) - (y0 * y5);
	tmp = 0.0;
	if (b <= -4.4e+150)
		tmp = j * t_1;
	elseif (b <= -1.5e-41)
		tmp = j * ((t_1 + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	elseif (b <= -1.14e-79)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (b <= -2.75e-92)
		tmp = t_3;
	elseif (b <= -2.5e-196)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	elseif (b <= 7e-252)
		tmp = y2 * (((k * t_4) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (b <= 3.5e-196)
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	elseif (b <= 6.6e-137)
		tmp = y0 * (y2 * t_2);
	elseif (b <= 6.5e-99)
		tmp = t_3;
	elseif (b <= 8.5)
		tmp = y2 * (y0 * t_2);
	elseif (b <= 3.8e+110)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((y0 * ((j * y3) - (k * y2))) - (i * ((t * j) - (y * k)))));
	else
		tmp = t_3;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(c * N[(N[(N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -4.4e+150], N[(j * t$95$1), $MachinePrecision], If[LessEqual[b, -1.5e-41], N[(j * N[(N[(t$95$1 + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.14e-79], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.75e-92], t$95$3, If[LessEqual[b, -2.5e-196], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 7e-252], N[(y2 * N[(N[(N[(k * t$95$4), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.5e-196], N[(y3 * N[(a * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6.6e-137], N[(y0 * N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6.5e-99], t$95$3, If[LessEqual[b, 8.5], N[(y2 * N[(y0 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.8e+110], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$3]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if b < -4.39999999999999999e150

   1. Initial program 24.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 48.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 48.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 48.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 48.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 48.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 48.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 76.3%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if -4.39999999999999999e150 < b < -1.49999999999999994e-41

   1. Initial program 27.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 61.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 61.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 61.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 61.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 61.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 61.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if -1.49999999999999994e-41 < b < -1.14e-79

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 18.2%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 63.6%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in x around inf 55.7%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 55.7%

         \[\leadsto \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot a} \]

      2. associate-*l* 57.0%

         \[\leadsto \color{blue}{x \cdot \left(\left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right) \cdot a\right)} \]

      3. +-commutative 57.0%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)} \cdot a\right) \]

      4. mul-1-neg 57.0%

         \[\leadsto x \cdot \left(\left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right) \cdot a\right) \]

      5. unsub-neg 57.0%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y - y1 \cdot y2\right)} \cdot a\right) \]

   7. Simplified 57.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(b \cdot y - y1 \cdot y2\right) \cdot a\right)} \]

   if -1.14e-79 < b < -2.7500000000000001e-92 or 6.6000000000000004e-137 < b < 6.50000000000000033e-99 or 3.79999999999999989e110 < b

   1. Initial program 26.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 26.9%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 64.9%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if -2.7500000000000001e-92 < b < -2.5000000000000002e-196

   1. Initial program 15.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y3 around -inf 59.9%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if -2.5000000000000002e-196 < b < 6.99999999999999972e-252

   1. Initial program 28.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 62.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if 6.99999999999999972e-252 < b < 3.50000000000000004e-196

   1. Initial program 9.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 9.1%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 36.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in y3 around inf 55.6%

      \[\leadsto \color{blue}{a \cdot \left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 55.6%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right) \cdot a} \]

      2. associate-*l* 55.6%

         \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   7. Simplified 55.6%

      \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   if 3.50000000000000004e-196 < b < 6.6000000000000004e-137

   1. Initial program 37.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 47.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around -inf 58.8%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 58.8%

         \[\leadsto \color{blue}{-y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)} \]

      2. *-commutative 58.8%

         \[\leadsto -\color{blue}{\left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right) \cdot y0} \]

      3. distribute-rgt-neg-in 58.8%

         \[\leadsto \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right) \cdot \left(-y0\right)} \]

      4. +-commutative 58.8%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot y5 + -1 \cdot \left(c \cdot x\right)\right)}\right) \cdot \left(-y0\right) \]

      5. mul-1-neg 58.8%

         \[\leadsto \left(y2 \cdot \left(k \cdot y5 + \color{blue}{\left(-c \cdot x\right)}\right)\right) \cdot \left(-y0\right) \]

      6. unsub-neg 58.8%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot y5 - c \cdot x\right)}\right) \cdot \left(-y0\right) \]

      7. *-commutative 58.8%

         \[\leadsto \left(y2 \cdot \left(\color{blue}{y5 \cdot k} - c \cdot x\right)\right) \cdot \left(-y0\right) \]

      8. *-commutative 58.8%

         \[\leadsto \left(y2 \cdot \left(y5 \cdot k - \color{blue}{x \cdot c}\right)\right) \cdot \left(-y0\right) \]

   5. Simplified 58.8%

      \[\leadsto \color{blue}{\left(y2 \cdot \left(y5 \cdot k - x \cdot c\right)\right) \cdot \left(-y0\right)} \]

   if 6.50000000000000033e-99 < b < 8.5

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 36.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 36.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 36.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 36.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 36.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 36.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in y2 around inf 51.0%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.1%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(c \cdot x - k \cdot y5\right)} \]

      2. *-commutative 46.1%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(c \cdot x - k \cdot y5\right) \]

      3. *-commutative 46.1%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x - \color{blue}{y5 \cdot k}\right) \]

      4. associate-*l* 55.8%

         \[\leadsto \color{blue}{y2 \cdot \left(y0 \cdot \left(c \cdot x - y5 \cdot k\right)\right)} \]

      5. *-commutative 55.8%

         \[\leadsto y2 \cdot \left(y0 \cdot \left(c \cdot x - \color{blue}{k \cdot y5}\right)\right) \]

   7. Simplified 55.8%

      \[\leadsto \color{blue}{y2 \cdot \left(y0 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if 8.5 < b < 3.79999999999999989e110

   1. Initial program 40.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 64.2%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 63.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -4.4 \cdot 10^{+150}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq -1.5 \cdot 10^{-41}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -1.14 \cdot 10^{-79}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -2.75 \cdot 10^{-92}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -2.5 \cdot 10^{-196}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;b \leq 7 \cdot 10^{-252}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 3.5 \cdot 10^{-196}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 6.6 \cdot 10^{-137}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 6.5 \cdot 10^{-99}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 8.5:\\ \;\;\;\;y2 \cdot \left(y0 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 3.8 \cdot 10^{+110}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]

Alternative 9: 35.6% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y2 - z \cdot y3\\ t_2 := x \cdot \left(i \cdot y1 - b \cdot y0\right)\\ t_3 := y0 \cdot y5 - y1 \cdot y4\\ t_4 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot t_3\right) + t_2\right)\\ \mathbf{if}\;k \leq -1.12 \cdot 10^{+113}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -5.5 \cdot 10^{+44}:\\ \;\;\;\;j \cdot t_2\\ \mathbf{elif}\;k \leq -2 \cdot 10^{-40}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t_1 + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -3.2 \cdot 10^{-72}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 4.7 \cdot 10^{-253}:\\ \;\;\;\;y3 \cdot \left(j \cdot t_3 + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{-170}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;k \leq 5 \cdot 10^{-129}:\\ \;\;\;\;t_1 \cdot \left(c \cdot y0\right)\\ \mathbf{elif}\;k \leq 4.5 \cdot 10^{-70}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 9 \cdot 10^{-16}:\\ \;\;\;\;c \cdot \left(y0 \cdot t_1\right)\\ \mathbf{elif}\;k \leq 1.55 \cdot 10^{+181}:\\ \;\;\;\;t_4\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y2) (* z y3)))
        (t_2 (* x (- (* i y1) (* b y0))))
        (t_3 (- (* y0 y5) (* y1 y4)))
        (t_4 (* j (+ (+ (* t (- (* b y4) (* i y5))) (* y3 t_3)) t_2))))
   (if (<= k -1.12e+113)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= k -5.5e+44)
       (* j t_2)
       (if (<= k -2e-40)
         (*
          y0
          (+
           (+ (* c t_1) (* y5 (- (* j y3) (* k y2))))
           (* b (- (* z k) (* x j)))))
         (if (<= k -3.2e-72)
           (* c (* y2 (- (* x y0) (* t y4))))
           (if (<= k 4.7e-253)
             (* y3 (+ (* j t_3) (* y (- (* c y4) (* a y5)))))
             (if (<= k 1.8e-170)
               t_4
               (if (<= k 5e-129)
                 (* t_1 (* c y0))
                 (if (<= k 4.5e-70)
                   (* x (* a (- (* y b) (* y1 y2))))
                   (if (<= k 9e-16)
                     (* c (* y0 t_1))
                     (if (<= k 1.55e+181)
                       t_4
                       (* y0 (* y2 (- (* x c) (* k y5))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y2) - (z * y3);
	double t_2 = x * ((i * y1) - (b * y0));
	double t_3 = (y0 * y5) - (y1 * y4);
	double t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_3)) + t_2);
	double tmp;
	if (k <= -1.12e+113) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -5.5e+44) {
		tmp = j * t_2;
	} else if (k <= -2e-40) {
		tmp = y0 * (((c * t_1) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	} else if (k <= -3.2e-72) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= 4.7e-253) {
		tmp = y3 * ((j * t_3) + (y * ((c * y4) - (a * y5))));
	} else if (k <= 1.8e-170) {
		tmp = t_4;
	} else if (k <= 5e-129) {
		tmp = t_1 * (c * y0);
	} else if (k <= 4.5e-70) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (k <= 9e-16) {
		tmp = c * (y0 * t_1);
	} else if (k <= 1.55e+181) {
		tmp = t_4;
	} else {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (x * y2) - (z * y3)
    t_2 = x * ((i * y1) - (b * y0))
    t_3 = (y0 * y5) - (y1 * y4)
    t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_3)) + t_2)
    if (k <= (-1.12d+113)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (k <= (-5.5d+44)) then
        tmp = j * t_2
    else if (k <= (-2d-40)) then
        tmp = y0 * (((c * t_1) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
    else if (k <= (-3.2d-72)) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (k <= 4.7d-253) then
        tmp = y3 * ((j * t_3) + (y * ((c * y4) - (a * y5))))
    else if (k <= 1.8d-170) then
        tmp = t_4
    else if (k <= 5d-129) then
        tmp = t_1 * (c * y0)
    else if (k <= 4.5d-70) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (k <= 9d-16) then
        tmp = c * (y0 * t_1)
    else if (k <= 1.55d+181) then
        tmp = t_4
    else
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y2) - (z * y3);
	double t_2 = x * ((i * y1) - (b * y0));
	double t_3 = (y0 * y5) - (y1 * y4);
	double t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_3)) + t_2);
	double tmp;
	if (k <= -1.12e+113) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -5.5e+44) {
		tmp = j * t_2;
	} else if (k <= -2e-40) {
		tmp = y0 * (((c * t_1) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	} else if (k <= -3.2e-72) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= 4.7e-253) {
		tmp = y3 * ((j * t_3) + (y * ((c * y4) - (a * y5))));
	} else if (k <= 1.8e-170) {
		tmp = t_4;
	} else if (k <= 5e-129) {
		tmp = t_1 * (c * y0);
	} else if (k <= 4.5e-70) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (k <= 9e-16) {
		tmp = c * (y0 * t_1);
	} else if (k <= 1.55e+181) {
		tmp = t_4;
	} else {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y2) - (z * y3)
	t_2 = x * ((i * y1) - (b * y0))
	t_3 = (y0 * y5) - (y1 * y4)
	t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_3)) + t_2)
	tmp = 0
	if k <= -1.12e+113:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif k <= -5.5e+44:
		tmp = j * t_2
	elif k <= -2e-40:
		tmp = y0 * (((c * t_1) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
	elif k <= -3.2e-72:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif k <= 4.7e-253:
		tmp = y3 * ((j * t_3) + (y * ((c * y4) - (a * y5))))
	elif k <= 1.8e-170:
		tmp = t_4
	elif k <= 5e-129:
		tmp = t_1 * (c * y0)
	elif k <= 4.5e-70:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif k <= 9e-16:
		tmp = c * (y0 * t_1)
	elif k <= 1.55e+181:
		tmp = t_4
	else:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y2) - Float64(z * y3))
	t_2 = Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))
	t_3 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_4 = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * t_3)) + t_2))
	tmp = 0.0
	if (k <= -1.12e+113)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (k <= -5.5e+44)
		tmp = Float64(j * t_2);
	elseif (k <= -2e-40)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_1) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (k <= -3.2e-72)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (k <= 4.7e-253)
		tmp = Float64(y3 * Float64(Float64(j * t_3) + Float64(y * Float64(Float64(c * y4) - Float64(a * y5)))));
	elseif (k <= 1.8e-170)
		tmp = t_4;
	elseif (k <= 5e-129)
		tmp = Float64(t_1 * Float64(c * y0));
	elseif (k <= 4.5e-70)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (k <= 9e-16)
		tmp = Float64(c * Float64(y0 * t_1));
	elseif (k <= 1.55e+181)
		tmp = t_4;
	else
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y2) - (z * y3);
	t_2 = x * ((i * y1) - (b * y0));
	t_3 = (y0 * y5) - (y1 * y4);
	t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_3)) + t_2);
	tmp = 0.0;
	if (k <= -1.12e+113)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (k <= -5.5e+44)
		tmp = j * t_2;
	elseif (k <= -2e-40)
		tmp = y0 * (((c * t_1) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	elseif (k <= -3.2e-72)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (k <= 4.7e-253)
		tmp = y3 * ((j * t_3) + (y * ((c * y4) - (a * y5))));
	elseif (k <= 1.8e-170)
		tmp = t_4;
	elseif (k <= 5e-129)
		tmp = t_1 * (c * y0);
	elseif (k <= 4.5e-70)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (k <= 9e-16)
		tmp = c * (y0 * t_1);
	elseif (k <= 1.55e+181)
		tmp = t_4;
	else
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$3), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.12e+113], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -5.5e+44], N[(j * t$95$2), $MachinePrecision], If[LessEqual[k, -2e-40], N[(y0 * N[(N[(N[(c * t$95$1), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3.2e-72], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 4.7e-253], N[(y3 * N[(N[(j * t$95$3), $MachinePrecision] + N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.8e-170], t$95$4, If[LessEqual[k, 5e-129], N[(t$95$1 * N[(c * y0), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 4.5e-70], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 9e-16], N[(c * N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.55e+181], t$95$4, N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -1.1200000000000001e113

   1. Initial program 36.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 63.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 63.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 63.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 63.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 63.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 63.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in i around -inf 64.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z - y \cdot y5\right)\right)\right)} \]

   if -1.1200000000000001e113 < k < -5.5000000000000001e44

   1. Initial program 31.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 38.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 38.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 38.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 38.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 38.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 38.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in x around inf 62.8%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 62.8%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 62.8%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   7. Simplified 62.8%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if -5.5000000000000001e44 < k < -1.9999999999999999e-40

   1. Initial program 37.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 69.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 69.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 69.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 69.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 69.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 69.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 69.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 69.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 69.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   if -1.9999999999999999e-40 < k < -3.19999999999999999e-72

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 43.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 71.7%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if -3.19999999999999999e-72 < k < 4.69999999999999981e-253

   1. Initial program 24.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 45.2%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 45.2%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 45.2%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in y3 around -inf 51.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if 4.69999999999999981e-253 < k < 1.8000000000000002e-170 or 9.0000000000000003e-16 < k < 1.54999999999999995e181

   1. Initial program 19.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 67.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 67.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 67.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 67.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 67.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 67.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if 1.8000000000000002e-170 < k < 5.00000000000000027e-129

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 52.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 52.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 52.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 52.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 67.7%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 83.6%

         \[\leadsto \color{blue}{\left(c \cdot y0\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)} \]

   7. Simplified 83.6%

      \[\leadsto \color{blue}{\left(c \cdot y0\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)} \]

   if 5.00000000000000027e-129 < k < 4.50000000000000022e-70

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 53.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in x around inf 54.6%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 54.6%

         \[\leadsto \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot a} \]

      2. associate-*l* 61.4%

         \[\leadsto \color{blue}{x \cdot \left(\left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right) \cdot a\right)} \]

      3. +-commutative 61.4%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)} \cdot a\right) \]

      4. mul-1-neg 61.4%

         \[\leadsto x \cdot \left(\left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right) \cdot a\right) \]

      5. unsub-neg 61.4%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y - y1 \cdot y2\right)} \cdot a\right) \]

   7. Simplified 61.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(b \cdot y - y1 \cdot y2\right) \cdot a\right)} \]

   if 4.50000000000000022e-70 < k < 9.0000000000000003e-16

   1. Initial program 38.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 24.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 24.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 24.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 24.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 24.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 24.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 24.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 24.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 24.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 47.9%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.54999999999999995e181 < k

   1. Initial program 16.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 57.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around -inf 63.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 63.7%

         \[\leadsto \color{blue}{-y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)} \]

      2. *-commutative 63.7%

         \[\leadsto -\color{blue}{\left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right) \cdot y0} \]

      3. distribute-rgt-neg-in 63.7%

         \[\leadsto \color{blue}{\left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right) \cdot \left(-y0\right)} \]

      4. +-commutative 63.7%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot y5 + -1 \cdot \left(c \cdot x\right)\right)}\right) \cdot \left(-y0\right) \]

      5. mul-1-neg 63.7%

         \[\leadsto \left(y2 \cdot \left(k \cdot y5 + \color{blue}{\left(-c \cdot x\right)}\right)\right) \cdot \left(-y0\right) \]

      6. unsub-neg 63.7%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot y5 - c \cdot x\right)}\right) \cdot \left(-y0\right) \]

      7. *-commutative 63.7%

         \[\leadsto \left(y2 \cdot \left(\color{blue}{y5 \cdot k} - c \cdot x\right)\right) \cdot \left(-y0\right) \]

      8. *-commutative 63.7%

         \[\leadsto \left(y2 \cdot \left(y5 \cdot k - \color{blue}{x \cdot c}\right)\right) \cdot \left(-y0\right) \]

   5. Simplified 63.7%

      \[\leadsto \color{blue}{\left(y2 \cdot \left(y5 \cdot k - x \cdot c\right)\right) \cdot \left(-y0\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 61.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.12 \cdot 10^{+113}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -5.5 \cdot 10^{+44}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -2 \cdot 10^{-40}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -3.2 \cdot 10^{-72}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 4.7 \cdot 10^{-253}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{-170}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 5 \cdot 10^{-129}:\\ \;\;\;\;\left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0\right)\\ \mathbf{elif}\;k \leq 4.5 \cdot 10^{-70}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 9 \cdot 10^{-16}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.55 \cdot 10^{+181}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \end{array} \]

Alternative 10: 38.1% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := a \cdot y5 - c \cdot y4\\ t_3 := y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;j \leq -9.2 \cdot 10^{+138}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{+63}:\\ \;\;\;\;\left(y2 \cdot y4 - z \cdot i\right) \cdot \left(k \cdot y1\right)\\ \mathbf{elif}\;j \leq -4.2 \cdot 10^{-52}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq -1.5 \cdot 10^{-239}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t_2\right)\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{-283}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 4.9 \cdot 10^{-254}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{-110}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;j \leq 1860000000000:\\ \;\;\;\;t \cdot \left(y2 \cdot t_2\right)\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{+187}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 6 \cdot 10^{+221}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_2 (- (* a y5) (* c y4)))
        (t_3
         (*
          y0
          (+
           (+ (* c (- (* x y2) (* z y3))) (* y5 (- (* j y3) (* k y2))))
           (* b (- (* z k) (* x j)))))))
   (if (<= j -9.2e+138)
     t_1
     (if (<= j -3.4e+63)
       (* (- (* y2 y4) (* z i)) (* k y1))
       (if (<= j -4.2e-52)
         t_3
         (if (<= j -1.5e-239)
           (*
            y2
            (+
             (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
             (* t t_2)))
           (if (<= j -1.3e-283)
             (* y2 (* y5 (- (* t a) (* k y0))))
             (if (<= j 4.9e-254)
               (* i (* k (- (* y y5) (* z y1))))
               (if (<= j 2.8e-110)
                 t_3
                 (if (<= j 1860000000000.0)
                   (* t (* y2 t_2))
                   (if (<= j 2.8e+187)
                     (* y0 (* j (- (* y3 y5) (* x b))))
                     (if (<= j 6e+221)
                       (* b (* y4 (- (* t j) (* y k))))
                       t_1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_2 = (a * y5) - (c * y4);
	double t_3 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (j <= -9.2e+138) {
		tmp = t_1;
	} else if (j <= -3.4e+63) {
		tmp = ((y2 * y4) - (z * i)) * (k * y1);
	} else if (j <= -4.2e-52) {
		tmp = t_3;
	} else if (j <= -1.5e-239) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (j <= -1.3e-283) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (j <= 4.9e-254) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (j <= 2.8e-110) {
		tmp = t_3;
	} else if (j <= 1860000000000.0) {
		tmp = t * (y2 * t_2);
	} else if (j <= 2.8e+187) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (j <= 6e+221) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_2 = (a * y5) - (c * y4)
    t_3 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
    if (j <= (-9.2d+138)) then
        tmp = t_1
    else if (j <= (-3.4d+63)) then
        tmp = ((y2 * y4) - (z * i)) * (k * y1)
    else if (j <= (-4.2d-52)) then
        tmp = t_3
    else if (j <= (-1.5d-239)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
    else if (j <= (-1.3d-283)) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (j <= 4.9d-254) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (j <= 2.8d-110) then
        tmp = t_3
    else if (j <= 1860000000000.0d0) then
        tmp = t * (y2 * t_2)
    else if (j <= 2.8d+187) then
        tmp = y0 * (j * ((y3 * y5) - (x * b)))
    else if (j <= 6d+221) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_2 = (a * y5) - (c * y4);
	double t_3 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (j <= -9.2e+138) {
		tmp = t_1;
	} else if (j <= -3.4e+63) {
		tmp = ((y2 * y4) - (z * i)) * (k * y1);
	} else if (j <= -4.2e-52) {
		tmp = t_3;
	} else if (j <= -1.5e-239) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	} else if (j <= -1.3e-283) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (j <= 4.9e-254) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (j <= 2.8e-110) {
		tmp = t_3;
	} else if (j <= 1860000000000.0) {
		tmp = t * (y2 * t_2);
	} else if (j <= 2.8e+187) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (j <= 6e+221) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_2 = (a * y5) - (c * y4)
	t_3 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
	tmp = 0
	if j <= -9.2e+138:
		tmp = t_1
	elif j <= -3.4e+63:
		tmp = ((y2 * y4) - (z * i)) * (k * y1)
	elif j <= -4.2e-52:
		tmp = t_3
	elif j <= -1.5e-239:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2))
	elif j <= -1.3e-283:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif j <= 4.9e-254:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif j <= 2.8e-110:
		tmp = t_3
	elif j <= 1860000000000.0:
		tmp = t * (y2 * t_2)
	elif j <= 2.8e+187:
		tmp = y0 * (j * ((y3 * y5) - (x * b)))
	elif j <= 6e+221:
		tmp = b * (y4 * ((t * j) - (y * k)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_2 = Float64(Float64(a * y5) - Float64(c * y4))
	t_3 = Float64(y0 * Float64(Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (j <= -9.2e+138)
		tmp = t_1;
	elseif (j <= -3.4e+63)
		tmp = Float64(Float64(Float64(y2 * y4) - Float64(z * i)) * Float64(k * y1));
	elseif (j <= -4.2e-52)
		tmp = t_3;
	elseif (j <= -1.5e-239)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_2)));
	elseif (j <= -1.3e-283)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (j <= 4.9e-254)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (j <= 2.8e-110)
		tmp = t_3;
	elseif (j <= 1860000000000.0)
		tmp = Float64(t * Float64(y2 * t_2));
	elseif (j <= 2.8e+187)
		tmp = Float64(y0 * Float64(j * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (j <= 6e+221)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_2 = (a * y5) - (c * y4);
	t_3 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	tmp = 0.0;
	if (j <= -9.2e+138)
		tmp = t_1;
	elseif (j <= -3.4e+63)
		tmp = ((y2 * y4) - (z * i)) * (k * y1);
	elseif (j <= -4.2e-52)
		tmp = t_3;
	elseif (j <= -1.5e-239)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_2));
	elseif (j <= -1.3e-283)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (j <= 4.9e-254)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (j <= 2.8e-110)
		tmp = t_3;
	elseif (j <= 1860000000000.0)
		tmp = t * (y2 * t_2);
	elseif (j <= 2.8e+187)
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	elseif (j <= 6e+221)
		tmp = b * (y4 * ((t * j) - (y * k)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y0 * N[(N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -9.2e+138], t$95$1, If[LessEqual[j, -3.4e+63], N[(N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision] * N[(k * y1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -4.2e-52], t$95$3, If[LessEqual[j, -1.5e-239], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.3e-283], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 4.9e-254], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 2.8e-110], t$95$3, If[LessEqual[j, 1860000000000.0], N[(t * N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 2.8e+187], N[(y0 * N[(j * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 6e+221], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if j < -9.2000000000000003e138 or 6.0000000000000003e221 < j

   1. Initial program 19.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 78.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 78.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 78.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 78.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 78.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 78.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if -9.2000000000000003e138 < j < -3.3999999999999999e63

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 60.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 60.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 60.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 60.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 60.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in y1 around inf 61.1%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(-1 \cdot \left(i \cdot z\right) + y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 55.2%

         \[\leadsto \color{blue}{\left(k \cdot y1\right) \cdot \left(-1 \cdot \left(i \cdot z\right) + y2 \cdot y4\right)} \]

      2. *-commutative 55.2%

         \[\leadsto \color{blue}{\left(y1 \cdot k\right)} \cdot \left(-1 \cdot \left(i \cdot z\right) + y2 \cdot y4\right) \]

      3. +-commutative 55.2%

         \[\leadsto \left(y1 \cdot k\right) \cdot \color{blue}{\left(y2 \cdot y4 + -1 \cdot \left(i \cdot z\right)\right)} \]

      4. mul-1-neg 55.2%

         \[\leadsto \left(y1 \cdot k\right) \cdot \left(y2 \cdot y4 + \color{blue}{\left(-i \cdot z\right)}\right) \]

      5. unsub-neg 55.2%

         \[\leadsto \left(y1 \cdot k\right) \cdot \color{blue}{\left(y2 \cdot y4 - i \cdot z\right)} \]

   7. Simplified 55.2%

      \[\leadsto \color{blue}{\left(y1 \cdot k\right) \cdot \left(y2 \cdot y4 - i \cdot z\right)} \]

   if -3.3999999999999999e63 < j < -4.1999999999999997e-52 or 4.8999999999999998e-254 < j < 2.8e-110

   1. Initial program 34.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 51.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 51.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 51.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 51.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   if -4.1999999999999997e-52 < j < -1.4999999999999999e-239

   1. Initial program 38.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 57.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -1.4999999999999999e-239 < j < -1.3000000000000001e-283

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 0.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y5 around -inf 67.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y2 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]

   if -1.3000000000000001e-283 < j < 4.8999999999999998e-254

   1. Initial program 17.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 51.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 51.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 51.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 51.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 51.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 51.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in i around -inf 75.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z - y \cdot y5\right)\right)\right)} \]

   if 2.8e-110 < j < 1.86e12

   1. Initial program 23.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 46.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 54.3%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 1.86e12 < j < 2.79999999999999989e187

   1. Initial program 26.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 55.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 57.8%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)} \]

      2. *-commutative 57.8%

         \[\leadsto \color{blue}{\left(y0 \cdot j\right)} \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right) \]

      3. associate-*l* 57.9%

         \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]

      4. +-commutative 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      5. mul-1-neg 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      6. unsub-neg 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      7. *-commutative 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 57.9%

      \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 2.79999999999999989e187 < j < 6.0000000000000003e221

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 40.5%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 40.5%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 40.5%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in b around inf 80.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 61.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -9.2 \cdot 10^{+138}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq -3.4 \cdot 10^{+63}:\\ \;\;\;\;\left(y2 \cdot y4 - z \cdot i\right) \cdot \left(k \cdot y1\right)\\ \mathbf{elif}\;j \leq -4.2 \cdot 10^{-52}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq -1.5 \cdot 10^{-239}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -1.3 \cdot 10^{-283}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;j \leq 4.9 \cdot 10^{-254}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{-110}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;j \leq 1860000000000:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{+187}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 6 \cdot 10^{+221}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 11: 41.6% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot y4 - i \cdot y5\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := j \cdot \left(\left(t \cdot t_1 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_4 := y1 \cdot y4 - y0 \cdot y5\\ t_5 := k \cdot \left(\left(y2 \cdot t_4 - y \cdot t_1\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_6 := k \cdot y2 - j \cdot y3\\ \mathbf{if}\;k \leq -1.45 \cdot 10^{+107}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{+60}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{+36}:\\ \;\;\;\;y1 \cdot \left(\left(y4 \cdot t_6 - a \cdot t_2\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq -3.5 \cdot 10^{-41}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t_2 + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -5.5 \cdot 10^{-158}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot t_6\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.08 \cdot 10^{-234}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot t_4\right)\right)\\ \mathbf{elif}\;k \leq 2 \cdot 10^{-170}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 7.5 \cdot 10^{-48}:\\ \;\;\;\;a \cdot \left(\left(b \cdot \left(x \cdot y - z \cdot t\right) - y1 \cdot t_2\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.75 \cdot 10^{-14}:\\ \;\;\;\;c \cdot \left(y0 \cdot t_2\right)\\ \mathbf{elif}\;k \leq 5 \cdot 10^{+169}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;t_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* b y4) (* i y5)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3
         (*
          j
          (+
           (+ (* t t_1) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_4 (- (* y1 y4) (* y0 y5)))
        (t_5 (* k (+ (- (* y2 t_4) (* y t_1)) (* z (- (* b y0) (* i y1))))))
        (t_6 (- (* k y2) (* j y3))))
   (if (<= k -1.45e+107)
     t_5
     (if (<= k -7.2e+60)
       (* c (* y2 (- (* x y0) (* t y4))))
       (if (<= k -4.8e+36)
         (* y1 (+ (- (* y4 t_6) (* a t_2)) (* i (- (* x j) (* z k)))))
         (if (<= k -3.5e-41)
           (*
            y0
            (+
             (+ (* c t_2) (* y5 (- (* j y3) (* k y2))))
             (* b (- (* z k) (* x j)))))
           (if (<= k -5.5e-158)
             (*
              y4
              (+
               (+ (* b (- (* t j) (* y k))) (* y1 t_6))
               (* c (- (* y y3) (* t y2)))))
             (if (<= k 1.08e-234)
               (*
                y3
                (+
                 (* y (- (* c y4) (* a y5)))
                 (- (* z (- (* a y1) (* c y0))) (* j t_4))))
               (if (<= k 2e-170)
                 t_3
                 (if (<= k 7.5e-48)
                   (*
                    a
                    (+
                     (- (* b (- (* x y) (* z t))) (* y1 t_2))
                     (* y5 (- (* t y2) (* y y3)))))
                   (if (<= k 1.75e-14)
                     (* c (* y0 t_2))
                     (if (<= k 5e+169) t_3 t_5))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = k * (((y2 * t_4) - (y * t_1)) + (z * ((b * y0) - (i * y1))));
	double t_6 = (k * y2) - (j * y3);
	double tmp;
	if (k <= -1.45e+107) {
		tmp = t_5;
	} else if (k <= -7.2e+60) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= -4.8e+36) {
		tmp = y1 * (((y4 * t_6) - (a * t_2)) + (i * ((x * j) - (z * k))));
	} else if (k <= -3.5e-41) {
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	} else if (k <= -5.5e-158) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_6)) + (c * ((y * y3) - (t * y2))));
	} else if (k <= 1.08e-234) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	} else if (k <= 2e-170) {
		tmp = t_3;
	} else if (k <= 7.5e-48) {
		tmp = a * (((b * ((x * y) - (z * t))) - (y1 * t_2)) + (y5 * ((t * y2) - (y * y3))));
	} else if (k <= 1.75e-14) {
		tmp = c * (y0 * t_2);
	} else if (k <= 5e+169) {
		tmp = t_3;
	} else {
		tmp = t_5;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (b * y4) - (i * y5)
    t_2 = (x * y2) - (z * y3)
    t_3 = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_4 = (y1 * y4) - (y0 * y5)
    t_5 = k * (((y2 * t_4) - (y * t_1)) + (z * ((b * y0) - (i * y1))))
    t_6 = (k * y2) - (j * y3)
    if (k <= (-1.45d+107)) then
        tmp = t_5
    else if (k <= (-7.2d+60)) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (k <= (-4.8d+36)) then
        tmp = y1 * (((y4 * t_6) - (a * t_2)) + (i * ((x * j) - (z * k))))
    else if (k <= (-3.5d-41)) then
        tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
    else if (k <= (-5.5d-158)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_6)) + (c * ((y * y3) - (t * y2))))
    else if (k <= 1.08d-234) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)))
    else if (k <= 2d-170) then
        tmp = t_3
    else if (k <= 7.5d-48) then
        tmp = a * (((b * ((x * y) - (z * t))) - (y1 * t_2)) + (y5 * ((t * y2) - (y * y3))))
    else if (k <= 1.75d-14) then
        tmp = c * (y0 * t_2)
    else if (k <= 5d+169) then
        tmp = t_3
    else
        tmp = t_5
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (b * y4) - (i * y5);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = k * (((y2 * t_4) - (y * t_1)) + (z * ((b * y0) - (i * y1))));
	double t_6 = (k * y2) - (j * y3);
	double tmp;
	if (k <= -1.45e+107) {
		tmp = t_5;
	} else if (k <= -7.2e+60) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= -4.8e+36) {
		tmp = y1 * (((y4 * t_6) - (a * t_2)) + (i * ((x * j) - (z * k))));
	} else if (k <= -3.5e-41) {
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	} else if (k <= -5.5e-158) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_6)) + (c * ((y * y3) - (t * y2))));
	} else if (k <= 1.08e-234) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	} else if (k <= 2e-170) {
		tmp = t_3;
	} else if (k <= 7.5e-48) {
		tmp = a * (((b * ((x * y) - (z * t))) - (y1 * t_2)) + (y5 * ((t * y2) - (y * y3))));
	} else if (k <= 1.75e-14) {
		tmp = c * (y0 * t_2);
	} else if (k <= 5e+169) {
		tmp = t_3;
	} else {
		tmp = t_5;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * y4) - (i * y5)
	t_2 = (x * y2) - (z * y3)
	t_3 = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_4 = (y1 * y4) - (y0 * y5)
	t_5 = k * (((y2 * t_4) - (y * t_1)) + (z * ((b * y0) - (i * y1))))
	t_6 = (k * y2) - (j * y3)
	tmp = 0
	if k <= -1.45e+107:
		tmp = t_5
	elif k <= -7.2e+60:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif k <= -4.8e+36:
		tmp = y1 * (((y4 * t_6) - (a * t_2)) + (i * ((x * j) - (z * k))))
	elif k <= -3.5e-41:
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
	elif k <= -5.5e-158:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_6)) + (c * ((y * y3) - (t * y2))))
	elif k <= 1.08e-234:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)))
	elif k <= 2e-170:
		tmp = t_3
	elif k <= 7.5e-48:
		tmp = a * (((b * ((x * y) - (z * t))) - (y1 * t_2)) + (y5 * ((t * y2) - (y * y3))))
	elif k <= 1.75e-14:
		tmp = c * (y0 * t_2)
	elif k <= 5e+169:
		tmp = t_3
	else:
		tmp = t_5
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(b * y4) - Float64(i * y5))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(j * Float64(Float64(Float64(t * t_1) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_4 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_5 = Float64(k * Float64(Float64(Float64(y2 * t_4) - Float64(y * t_1)) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))))
	t_6 = Float64(Float64(k * y2) - Float64(j * y3))
	tmp = 0.0
	if (k <= -1.45e+107)
		tmp = t_5;
	elseif (k <= -7.2e+60)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (k <= -4.8e+36)
		tmp = Float64(y1 * Float64(Float64(Float64(y4 * t_6) - Float64(a * t_2)) + Float64(i * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (k <= -3.5e-41)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_2) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (k <= -5.5e-158)
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * t_6)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (k <= 1.08e-234)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) - Float64(j * t_4))));
	elseif (k <= 2e-170)
		tmp = t_3;
	elseif (k <= 7.5e-48)
		tmp = Float64(a * Float64(Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) - Float64(y1 * t_2)) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (k <= 1.75e-14)
		tmp = Float64(c * Float64(y0 * t_2));
	elseif (k <= 5e+169)
		tmp = t_3;
	else
		tmp = t_5;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (b * y4) - (i * y5);
	t_2 = (x * y2) - (z * y3);
	t_3 = j * (((t * t_1) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_4 = (y1 * y4) - (y0 * y5);
	t_5 = k * (((y2 * t_4) - (y * t_1)) + (z * ((b * y0) - (i * y1))));
	t_6 = (k * y2) - (j * y3);
	tmp = 0.0;
	if (k <= -1.45e+107)
		tmp = t_5;
	elseif (k <= -7.2e+60)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (k <= -4.8e+36)
		tmp = y1 * (((y4 * t_6) - (a * t_2)) + (i * ((x * j) - (z * k))));
	elseif (k <= -3.5e-41)
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	elseif (k <= -5.5e-158)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_6)) + (c * ((y * y3) - (t * y2))));
	elseif (k <= 1.08e-234)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) - (j * t_4)));
	elseif (k <= 2e-170)
		tmp = t_3;
	elseif (k <= 7.5e-48)
		tmp = a * (((b * ((x * y) - (z * t))) - (y1 * t_2)) + (y5 * ((t * y2) - (y * y3))));
	elseif (k <= 1.75e-14)
		tmp = c * (y0 * t_2);
	elseif (k <= 5e+169)
		tmp = t_3;
	else
		tmp = t_5;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(N[(N[(t * t$95$1), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(k * N[(N[(N[(y2 * t$95$4), $MachinePrecision] - N[(y * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.45e+107], t$95$5, If[LessEqual[k, -7.2e+60], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.8e+36], N[(y1 * N[(N[(N[(y4 * t$95$6), $MachinePrecision] - N[(a * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3.5e-41], N[(y0 * N[(N[(N[(c * t$95$2), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -5.5e-158], N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * t$95$6), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.08e-234], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(j * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2e-170], t$95$3, If[LessEqual[k, 7.5e-48], N[(a * N[(N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y1 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.75e-14], N[(c * N[(y0 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 5e+169], t$95$3, t$95$5]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if k < -1.44999999999999994e107 or 5.00000000000000017e169 < k

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 66.8%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 66.8%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 66.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 66.8%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 66.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 66.8%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   if -1.44999999999999994e107 < k < -7.19999999999999935e60

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 62.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 75.8%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if -7.19999999999999935e60 < k < -4.79999999999999985e36

   1. Initial program 74.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 75.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 75.5%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + -1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      2. mul-1-neg 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + \color{blue}{\left(-a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      3. unsub-neg 75.5%

         \[\leadsto y1 \cdot \left(\color{blue}{\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      4. *-commutative 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right) - a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      5. *-commutative 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) \]

      6. mul-1-neg 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \color{blue}{\left(-i \cdot \left(j \cdot x - k \cdot z\right)\right)}\right) \]

      7. *-commutative 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right)\right) \]

      8. *-commutative 75.5%

         \[\leadsto y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right)\right) \]

   4. Simplified 75.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - y3 \cdot j\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) - \left(-i \cdot \left(x \cdot j - z \cdot k\right)\right)\right)} \]

   if -4.79999999999999985e36 < k < -3.5e-41

   1. Initial program 31.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 63.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 63.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 63.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 63.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 63.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 63.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 63.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 63.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 63.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   if -3.5e-41 < k < -5.50000000000000025e-158

   1. Initial program 23.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 60.3%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if -5.50000000000000025e-158 < k < 1.0800000000000001e-234

   1. Initial program 24.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y3 around -inf 51.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if 1.0800000000000001e-234 < k < 1.99999999999999997e-170 or 1.7500000000000001e-14 < k < 5.00000000000000017e169

   1. Initial program 20.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 72.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 72.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 72.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 72.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 72.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 72.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if 1.99999999999999997e-170 < k < 7.50000000000000042e-48

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.6%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 57.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   if 7.50000000000000042e-48 < k < 1.7500000000000001e-14

   1. Initial program 16.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 18.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 18.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 18.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 18.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 18.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 18.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 18.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 18.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 18.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 52.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 63.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.45 \cdot 10^{+107}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{+60}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{+36}:\\ \;\;\;\;y1 \cdot \left(\left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq -3.5 \cdot 10^{-41}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -5.5 \cdot 10^{-158}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.08 \cdot 10^{-234}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) - j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)\\ \mathbf{elif}\;k \leq 2 \cdot 10^{-170}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 7.5 \cdot 10^{-48}:\\ \;\;\;\;a \cdot \left(\left(b \cdot \left(x \cdot y - z \cdot t\right) - y1 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.75 \cdot 10^{-14}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 5 \cdot 10^{+169}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]

Alternative 12: 30.5% accurate, 2.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y4 \leq -1.4 \cdot 10^{+158}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{+88}:\\ \;\;\;\;\left(j \cdot y1\right) \cdot \left(x \cdot i - y3 \cdot y4\right)\\ \mathbf{elif}\;y4 \leq -1.12 \cdot 10^{-82}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -2.3 \cdot 10^{-222}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -6.6 \cdot 10^{-300}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 1.32 \cdot 10^{-204}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 3.8 \cdot 10^{-12}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.55 \cdot 10^{+66}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 2.7 \cdot 10^{+130}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 9 \cdot 10^{+205}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 9 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y4 -1.4e+158)
   (* j (* t (* b y4)))
   (if (<= y4 -1.8e+88)
     (* (* j y1) (- (* x i) (* y3 y4)))
     (if (<= y4 -1.12e-82)
       (* y2 (* y4 (- (* k y1) (* t c))))
       (if (<= y4 -2.3e-222)
         (* c (* y0 (- (* x y2) (* z y3))))
         (if (<= y4 -6.6e-300)
           (* t (* y5 (- (* a y2) (* i j))))
           (if (<= y4 1.32e-204)
             (* i (* k (- (* y y5) (* z y1))))
             (if (<= y4 3.8e-12)
               (* y3 (* a (- (* z y1) (* y y5))))
               (if (<= y4 1.55e+66)
                 (* j (* x (- (* i y1) (* b y0))))
                 (if (<= y4 2.7e+130)
                   (*
                    y3
                    (+
                     (* j (- (* y0 y5) (* y1 y4)))
                     (* y (- (* c y4) (* a y5)))))
                   (if (<= y4 9e+205)
                     (* k (* y (- (* i y5) (* b y4))))
                     (if (<= y4 9e+242)
                       (* c (* y2 (- (* x y0) (* t y4))))
                       (* j (* y4 (- (* t b) (* y1 y3))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y4 <= -1.4e+158) {
		tmp = j * (t * (b * y4));
	} else if (y4 <= -1.8e+88) {
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	} else if (y4 <= -1.12e-82) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -2.3e-222) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y4 <= -6.6e-300) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (y4 <= 1.32e-204) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y4 <= 3.8e-12) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y4 <= 1.55e+66) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y4 <= 2.7e+130) {
		tmp = y3 * ((j * ((y0 * y5) - (y1 * y4))) + (y * ((c * y4) - (a * y5))));
	} else if (y4 <= 9e+205) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y4 <= 9e+242) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y4 <= (-1.4d+158)) then
        tmp = j * (t * (b * y4))
    else if (y4 <= (-1.8d+88)) then
        tmp = (j * y1) * ((x * i) - (y3 * y4))
    else if (y4 <= (-1.12d-82)) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (y4 <= (-2.3d-222)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y4 <= (-6.6d-300)) then
        tmp = t * (y5 * ((a * y2) - (i * j)))
    else if (y4 <= 1.32d-204) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y4 <= 3.8d-12) then
        tmp = y3 * (a * ((z * y1) - (y * y5)))
    else if (y4 <= 1.55d+66) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y4 <= 2.7d+130) then
        tmp = y3 * ((j * ((y0 * y5) - (y1 * y4))) + (y * ((c * y4) - (a * y5))))
    else if (y4 <= 9d+205) then
        tmp = k * (y * ((i * y5) - (b * y4)))
    else if (y4 <= 9d+242) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else
        tmp = j * (y4 * ((t * b) - (y1 * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y4 <= -1.4e+158) {
		tmp = j * (t * (b * y4));
	} else if (y4 <= -1.8e+88) {
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	} else if (y4 <= -1.12e-82) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -2.3e-222) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y4 <= -6.6e-300) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (y4 <= 1.32e-204) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y4 <= 3.8e-12) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y4 <= 1.55e+66) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y4 <= 2.7e+130) {
		tmp = y3 * ((j * ((y0 * y5) - (y1 * y4))) + (y * ((c * y4) - (a * y5))));
	} else if (y4 <= 9e+205) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y4 <= 9e+242) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y4 <= -1.4e+158:
		tmp = j * (t * (b * y4))
	elif y4 <= -1.8e+88:
		tmp = (j * y1) * ((x * i) - (y3 * y4))
	elif y4 <= -1.12e-82:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif y4 <= -2.3e-222:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y4 <= -6.6e-300:
		tmp = t * (y5 * ((a * y2) - (i * j)))
	elif y4 <= 1.32e-204:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y4 <= 3.8e-12:
		tmp = y3 * (a * ((z * y1) - (y * y5)))
	elif y4 <= 1.55e+66:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y4 <= 2.7e+130:
		tmp = y3 * ((j * ((y0 * y5) - (y1 * y4))) + (y * ((c * y4) - (a * y5))))
	elif y4 <= 9e+205:
		tmp = k * (y * ((i * y5) - (b * y4)))
	elif y4 <= 9e+242:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	else:
		tmp = j * (y4 * ((t * b) - (y1 * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y4 <= -1.4e+158)
		tmp = Float64(j * Float64(t * Float64(b * y4)));
	elseif (y4 <= -1.8e+88)
		tmp = Float64(Float64(j * y1) * Float64(Float64(x * i) - Float64(y3 * y4)));
	elseif (y4 <= -1.12e-82)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (y4 <= -2.3e-222)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y4 <= -6.6e-300)
		tmp = Float64(t * Float64(y5 * Float64(Float64(a * y2) - Float64(i * j))));
	elseif (y4 <= 1.32e-204)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y4 <= 3.8e-12)
		tmp = Float64(y3 * Float64(a * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y4 <= 1.55e+66)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y4 <= 2.7e+130)
		tmp = Float64(y3 * Float64(Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(y * Float64(Float64(c * y4) - Float64(a * y5)))));
	elseif (y4 <= 9e+205)
		tmp = Float64(k * Float64(y * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y4 <= 9e+242)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	else
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y4 <= -1.4e+158)
		tmp = j * (t * (b * y4));
	elseif (y4 <= -1.8e+88)
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	elseif (y4 <= -1.12e-82)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (y4 <= -2.3e-222)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y4 <= -6.6e-300)
		tmp = t * (y5 * ((a * y2) - (i * j)));
	elseif (y4 <= 1.32e-204)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y4 <= 3.8e-12)
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	elseif (y4 <= 1.55e+66)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y4 <= 2.7e+130)
		tmp = y3 * ((j * ((y0 * y5) - (y1 * y4))) + (y * ((c * y4) - (a * y5))));
	elseif (y4 <= 9e+205)
		tmp = k * (y * ((i * y5) - (b * y4)));
	elseif (y4 <= 9e+242)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	else
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y4, -1.4e+158], N[(j * N[(t * N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.8e+88], N[(N[(j * y1), $MachinePrecision] * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.12e-82], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.3e-222], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6.6e-300], N[(t * N[(y5 * N[(N[(a * y2), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.32e-204], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.8e-12], N[(y3 * N[(a * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.55e+66], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.7e+130], N[(y3 * N[(N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 9e+205], N[(k * N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 9e+242], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y4 < -1.40000000000000001e158

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 44.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 44.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 44.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 44.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 44.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 44.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 56.2%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   6. Taylor expanded in b around inf 56.3%

      \[\leadsto j \cdot \left(t \cdot \color{blue}{\left(b \cdot y4\right)}\right) \]

   if -1.40000000000000001e158 < y4 < -1.8000000000000001e88

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 7.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 7.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 7.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 7.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 7.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 7.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y1 around -inf 58.4%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 58.5%

         \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)} \]

      2. +-commutative 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x + -1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. mul-1-neg 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(i \cdot x + \color{blue}{\left(-y3 \cdot y4\right)}\right) \]

      4. unsub-neg 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x - y3 \cdot y4\right)} \]

      5. *-commutative 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

      6. *-commutative 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(x \cdot i - \color{blue}{y4 \cdot y3}\right) \]

   7. Simplified 58.5%

      \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(x \cdot i - y4 \cdot y3\right)} \]

   if -1.8000000000000001e88 < y4 < -1.12e-82

   1. Initial program 38.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 48.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y4 around inf 43.4%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]

   if -1.12e-82 < y4 < -2.3000000000000001e-222

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 57.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 57.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 57.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 57.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 57.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 57.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 57.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 57.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 57.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 58.1%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -2.3000000000000001e-222 < y4 < -6.6000000000000004e-300

   1. Initial program 31.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 32.2%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in t around inf 50.6%

      \[\leadsto -1 \cdot \color{blue}{\left(t \cdot \left(y5 \cdot \left(i \cdot j - a \cdot y2\right)\right)\right)} \]

   if -6.6000000000000004e-300 < y4 < 1.32e-204

   1. Initial program 16.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 42.3%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.3%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 42.3%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 42.3%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 42.3%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 42.3%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in i around -inf 47.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z - y \cdot y5\right)\right)\right)} \]

   if 1.32e-204 < y4 < 3.79999999999999996e-12

   1. Initial program 29.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.9%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 61.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in y3 around inf 56.9%

      \[\leadsto \color{blue}{a \cdot \left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 56.9%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right) \cdot a} \]

      2. associate-*l* 59.2%

         \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   7. Simplified 59.2%

      \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   if 3.79999999999999996e-12 < y4 < 1.55000000000000009e66

   1. Initial program 18.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 62.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 62.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 62.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 62.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 62.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 62.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in x around inf 69.7%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 69.7%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 69.7%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   7. Simplified 69.7%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 1.55000000000000009e66 < y4 < 2.6999999999999998e130

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 53.6%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 53.6%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 53.6%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in y3 around -inf 60.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if 2.6999999999999998e130 < y4 < 9.00000000000000071e205

   1. Initial program 23.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 64.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 64.9%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 64.9%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 64.9%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 64.9%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 64.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in y around inf 70.7%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)} \]

   if 9.00000000000000071e205 < y4 < 8.9999999999999992e242

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 50.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 83.5%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if 8.9999999999999992e242 < y4

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 64.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 64.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 64.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 64.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 64.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 64.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 85.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 85.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 85.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 59.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -1.4 \cdot 10^{+158}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{+88}:\\ \;\;\;\;\left(j \cdot y1\right) \cdot \left(x \cdot i - y3 \cdot y4\right)\\ \mathbf{elif}\;y4 \leq -1.12 \cdot 10^{-82}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -2.3 \cdot 10^{-222}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -6.6 \cdot 10^{-300}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 1.32 \cdot 10^{-204}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 3.8 \cdot 10^{-12}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.55 \cdot 10^{+66}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 2.7 \cdot 10^{+130}:\\ \;\;\;\;y3 \cdot \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 9 \cdot 10^{+205}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 9 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \]

Alternative 13: 29.6% accurate, 2.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{if}\;y4 \leq -3.7 \cdot 10^{+158}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.42 \cdot 10^{+88}:\\ \;\;\;\;\left(j \cdot y1\right) \cdot \left(x \cdot i - y3 \cdot y4\right)\\ \mathbf{elif}\;y4 \leq -3.55 \cdot 10^{-81}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{-222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y4 \leq -2.1 \cdot 10^{-267}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 4.4 \cdot 10^{-201}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y4 \leq 8.5 \cdot 10^{-13}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 2.1 \cdot 10^{+87}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 2.4 \cdot 10^{+116}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 9 \cdot 10^{+206}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 8 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y0 (- (* x y2) (* z y3))))))
   (if (<= y4 -3.7e+158)
     (* j (* t (* b y4)))
     (if (<= y4 -1.42e+88)
       (* (* j y1) (- (* x i) (* y3 y4)))
       (if (<= y4 -3.55e-81)
         (* y2 (* y4 (- (* k y1) (* t c))))
         (if (<= y4 -1.8e-222)
           t_1
           (if (<= y4 -2.1e-267)
             (* x (* a (- (* y b) (* y1 y2))))
             (if (<= y4 4.4e-201)
               t_1
               (if (<= y4 8.5e-13)
                 (* y3 (* a (- (* z y1) (* y y5))))
                 (if (<= y4 2.1e+87)
                   (* j (* x (- (* i y1) (* b y0))))
                   (if (<= y4 2.4e+116)
                     (* x (* c (* y0 y2)))
                     (if (<= y4 9e+206)
                       (* k (* y (- (* i y5) (* b y4))))
                       (if (<= y4 8e+242)
                         (* c (* y2 (- (* x y0) (* t y4))))
                         (* j (* y4 (- (* t b) (* y1 y3)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y4 <= -3.7e+158) {
		tmp = j * (t * (b * y4));
	} else if (y4 <= -1.42e+88) {
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	} else if (y4 <= -3.55e-81) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -1.8e-222) {
		tmp = t_1;
	} else if (y4 <= -2.1e-267) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (y4 <= 4.4e-201) {
		tmp = t_1;
	} else if (y4 <= 8.5e-13) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y4 <= 2.1e+87) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y4 <= 2.4e+116) {
		tmp = x * (c * (y0 * y2));
	} else if (y4 <= 9e+206) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y4 <= 8e+242) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (y0 * ((x * y2) - (z * y3)))
    if (y4 <= (-3.7d+158)) then
        tmp = j * (t * (b * y4))
    else if (y4 <= (-1.42d+88)) then
        tmp = (j * y1) * ((x * i) - (y3 * y4))
    else if (y4 <= (-3.55d-81)) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (y4 <= (-1.8d-222)) then
        tmp = t_1
    else if (y4 <= (-2.1d-267)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (y4 <= 4.4d-201) then
        tmp = t_1
    else if (y4 <= 8.5d-13) then
        tmp = y3 * (a * ((z * y1) - (y * y5)))
    else if (y4 <= 2.1d+87) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y4 <= 2.4d+116) then
        tmp = x * (c * (y0 * y2))
    else if (y4 <= 9d+206) then
        tmp = k * (y * ((i * y5) - (b * y4)))
    else if (y4 <= 8d+242) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else
        tmp = j * (y4 * ((t * b) - (y1 * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y4 <= -3.7e+158) {
		tmp = j * (t * (b * y4));
	} else if (y4 <= -1.42e+88) {
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	} else if (y4 <= -3.55e-81) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -1.8e-222) {
		tmp = t_1;
	} else if (y4 <= -2.1e-267) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (y4 <= 4.4e-201) {
		tmp = t_1;
	} else if (y4 <= 8.5e-13) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y4 <= 2.1e+87) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y4 <= 2.4e+116) {
		tmp = x * (c * (y0 * y2));
	} else if (y4 <= 9e+206) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y4 <= 8e+242) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y0 * ((x * y2) - (z * y3)))
	tmp = 0
	if y4 <= -3.7e+158:
		tmp = j * (t * (b * y4))
	elif y4 <= -1.42e+88:
		tmp = (j * y1) * ((x * i) - (y3 * y4))
	elif y4 <= -3.55e-81:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif y4 <= -1.8e-222:
		tmp = t_1
	elif y4 <= -2.1e-267:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif y4 <= 4.4e-201:
		tmp = t_1
	elif y4 <= 8.5e-13:
		tmp = y3 * (a * ((z * y1) - (y * y5)))
	elif y4 <= 2.1e+87:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y4 <= 2.4e+116:
		tmp = x * (c * (y0 * y2))
	elif y4 <= 9e+206:
		tmp = k * (y * ((i * y5) - (b * y4)))
	elif y4 <= 8e+242:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	else:
		tmp = j * (y4 * ((t * b) - (y1 * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	tmp = 0.0
	if (y4 <= -3.7e+158)
		tmp = Float64(j * Float64(t * Float64(b * y4)));
	elseif (y4 <= -1.42e+88)
		tmp = Float64(Float64(j * y1) * Float64(Float64(x * i) - Float64(y3 * y4)));
	elseif (y4 <= -3.55e-81)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (y4 <= -1.8e-222)
		tmp = t_1;
	elseif (y4 <= -2.1e-267)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y4 <= 4.4e-201)
		tmp = t_1;
	elseif (y4 <= 8.5e-13)
		tmp = Float64(y3 * Float64(a * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y4 <= 2.1e+87)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y4 <= 2.4e+116)
		tmp = Float64(x * Float64(c * Float64(y0 * y2)));
	elseif (y4 <= 9e+206)
		tmp = Float64(k * Float64(y * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y4 <= 8e+242)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	else
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y0 * ((x * y2) - (z * y3)));
	tmp = 0.0;
	if (y4 <= -3.7e+158)
		tmp = j * (t * (b * y4));
	elseif (y4 <= -1.42e+88)
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	elseif (y4 <= -3.55e-81)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (y4 <= -1.8e-222)
		tmp = t_1;
	elseif (y4 <= -2.1e-267)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (y4 <= 4.4e-201)
		tmp = t_1;
	elseif (y4 <= 8.5e-13)
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	elseif (y4 <= 2.1e+87)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y4 <= 2.4e+116)
		tmp = x * (c * (y0 * y2));
	elseif (y4 <= 9e+206)
		tmp = k * (y * ((i * y5) - (b * y4)));
	elseif (y4 <= 8e+242)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	else
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -3.7e+158], N[(j * N[(t * N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.42e+88], N[(N[(j * y1), $MachinePrecision] * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.55e-81], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.8e-222], t$95$1, If[LessEqual[y4, -2.1e-267], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4.4e-201], t$95$1, If[LessEqual[y4, 8.5e-13], N[(y3 * N[(a * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.1e+87], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.4e+116], N[(x * N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 9e+206], N[(k * N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 8e+242], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if y4 < -3.70000000000000011e158

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 44.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 44.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 44.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 44.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 44.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 44.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 56.2%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   6. Taylor expanded in b around inf 56.3%

      \[\leadsto j \cdot \left(t \cdot \color{blue}{\left(b \cdot y4\right)}\right) \]

   if -3.70000000000000011e158 < y4 < -1.41999999999999996e88

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 7.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 7.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 7.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 7.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 7.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 7.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y1 around -inf 58.4%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 58.5%

         \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)} \]

      2. +-commutative 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x + -1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. mul-1-neg 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(i \cdot x + \color{blue}{\left(-y3 \cdot y4\right)}\right) \]

      4. unsub-neg 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x - y3 \cdot y4\right)} \]

      5. *-commutative 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

      6. *-commutative 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(x \cdot i - \color{blue}{y4 \cdot y3}\right) \]

   7. Simplified 58.5%

      \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(x \cdot i - y4 \cdot y3\right)} \]

   if -1.41999999999999996e88 < y4 < -3.5500000000000001e-81

   1. Initial program 38.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 48.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y4 around inf 43.4%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]

   if -3.5500000000000001e-81 < y4 < -1.79999999999999987e-222 or -2.1000000000000001e-267 < y4 < 4.4e-201

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 47.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 47.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 47.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 47.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 48.9%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -1.79999999999999987e-222 < y4 < -2.1000000000000001e-267

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in x around inf 51.2%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 51.2%

         \[\leadsto \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot a} \]

      2. associate-*l* 51.1%

         \[\leadsto \color{blue}{x \cdot \left(\left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right) \cdot a\right)} \]

      3. +-commutative 51.1%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)} \cdot a\right) \]

      4. mul-1-neg 51.1%

         \[\leadsto x \cdot \left(\left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right) \cdot a\right) \]

      5. unsub-neg 51.1%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y - y1 \cdot y2\right)} \cdot a\right) \]

   7. Simplified 51.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(b \cdot y - y1 \cdot y2\right) \cdot a\right)} \]

   if 4.4e-201 < y4 < 8.5000000000000001e-13

   1. Initial program 28.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.0%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 61.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in y3 around inf 59.7%

      \[\leadsto \color{blue}{a \cdot \left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 59.7%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right) \cdot a} \]

      2. associate-*l* 62.2%

         \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   7. Simplified 62.2%

      \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   if 8.5000000000000001e-13 < y4 < 2.1e87

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 50.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 50.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 50.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 50.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 50.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 50.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in x around inf 65.9%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 65.9%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 65.9%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   7. Simplified 65.9%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 2.1e87 < y4 < 2.4e116

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 62.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 63.6%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 63.6%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 63.6%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 63.6%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 63.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 51.4%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2\right)} \]

      2. *-commutative 51.4%

         \[\leadsto \color{blue}{\left(x \cdot c\right)} \cdot \left(y0 \cdot y2\right) \]

      3. associate-*l* 75.5%

         \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)} \]

   8. Simplified 75.5%

      \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)} \]

   if 2.4e116 < y4 < 9.00000000000000035e206

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 60.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 60.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 60.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 60.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 60.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in y around inf 60.6%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)} \]

   if 9.00000000000000035e206 < y4 < 8.00000000000000041e242

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 50.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 83.5%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if 8.00000000000000041e242 < y4

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 64.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 64.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 64.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 64.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 64.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 64.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 85.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 85.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 85.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 58.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -3.7 \cdot 10^{+158}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.42 \cdot 10^{+88}:\\ \;\;\;\;\left(j \cdot y1\right) \cdot \left(x \cdot i - y3 \cdot y4\right)\\ \mathbf{elif}\;y4 \leq -3.55 \cdot 10^{-81}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{-222}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -2.1 \cdot 10^{-267}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 4.4 \cdot 10^{-201}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 8.5 \cdot 10^{-13}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 2.1 \cdot 10^{+87}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 2.4 \cdot 10^{+116}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 9 \cdot 10^{+206}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 8 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \]

Alternative 14: 29.7% accurate, 2.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y4 \leq -5 \cdot 10^{+157}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{+88}:\\ \;\;\;\;\left(j \cdot y1\right) \cdot \left(x \cdot i - y3 \cdot y4\right)\\ \mathbf{elif}\;y4 \leq -1.05 \cdot 10^{-84}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -2.5 \cdot 10^{-222}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -9 \cdot 10^{-299}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 2.2 \cdot 10^{-205}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 6.6 \cdot 10^{-13}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.85 \cdot 10^{+86}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 1.95 \cdot 10^{+116}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 1.35 \cdot 10^{+207}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 6.4 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y4 -5e+157)
   (* j (* t (* b y4)))
   (if (<= y4 -1.8e+88)
     (* (* j y1) (- (* x i) (* y3 y4)))
     (if (<= y4 -1.05e-84)
       (* y2 (* y4 (- (* k y1) (* t c))))
       (if (<= y4 -2.5e-222)
         (* c (* y0 (- (* x y2) (* z y3))))
         (if (<= y4 -9e-299)
           (* t (* y5 (- (* a y2) (* i j))))
           (if (<= y4 2.2e-205)
             (* i (* k (- (* y y5) (* z y1))))
             (if (<= y4 6.6e-13)
               (* y3 (* a (- (* z y1) (* y y5))))
               (if (<= y4 1.85e+86)
                 (* j (* x (- (* i y1) (* b y0))))
                 (if (<= y4 1.95e+116)
                   (* x (* c (* y0 y2)))
                   (if (<= y4 1.35e+207)
                     (* k (* y (- (* i y5) (* b y4))))
                     (if (<= y4 6.4e+242)
                       (* c (* y2 (- (* x y0) (* t y4))))
                       (* j (* y4 (- (* t b) (* y1 y3))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y4 <= -5e+157) {
		tmp = j * (t * (b * y4));
	} else if (y4 <= -1.8e+88) {
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	} else if (y4 <= -1.05e-84) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -2.5e-222) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y4 <= -9e-299) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (y4 <= 2.2e-205) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y4 <= 6.6e-13) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y4 <= 1.85e+86) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y4 <= 1.95e+116) {
		tmp = x * (c * (y0 * y2));
	} else if (y4 <= 1.35e+207) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y4 <= 6.4e+242) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y4 <= (-5d+157)) then
        tmp = j * (t * (b * y4))
    else if (y4 <= (-1.8d+88)) then
        tmp = (j * y1) * ((x * i) - (y3 * y4))
    else if (y4 <= (-1.05d-84)) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (y4 <= (-2.5d-222)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y4 <= (-9d-299)) then
        tmp = t * (y5 * ((a * y2) - (i * j)))
    else if (y4 <= 2.2d-205) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y4 <= 6.6d-13) then
        tmp = y3 * (a * ((z * y1) - (y * y5)))
    else if (y4 <= 1.85d+86) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y4 <= 1.95d+116) then
        tmp = x * (c * (y0 * y2))
    else if (y4 <= 1.35d+207) then
        tmp = k * (y * ((i * y5) - (b * y4)))
    else if (y4 <= 6.4d+242) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else
        tmp = j * (y4 * ((t * b) - (y1 * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y4 <= -5e+157) {
		tmp = j * (t * (b * y4));
	} else if (y4 <= -1.8e+88) {
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	} else if (y4 <= -1.05e-84) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -2.5e-222) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y4 <= -9e-299) {
		tmp = t * (y5 * ((a * y2) - (i * j)));
	} else if (y4 <= 2.2e-205) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y4 <= 6.6e-13) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y4 <= 1.85e+86) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y4 <= 1.95e+116) {
		tmp = x * (c * (y0 * y2));
	} else if (y4 <= 1.35e+207) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y4 <= 6.4e+242) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y4 <= -5e+157:
		tmp = j * (t * (b * y4))
	elif y4 <= -1.8e+88:
		tmp = (j * y1) * ((x * i) - (y3 * y4))
	elif y4 <= -1.05e-84:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif y4 <= -2.5e-222:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y4 <= -9e-299:
		tmp = t * (y5 * ((a * y2) - (i * j)))
	elif y4 <= 2.2e-205:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y4 <= 6.6e-13:
		tmp = y3 * (a * ((z * y1) - (y * y5)))
	elif y4 <= 1.85e+86:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y4 <= 1.95e+116:
		tmp = x * (c * (y0 * y2))
	elif y4 <= 1.35e+207:
		tmp = k * (y * ((i * y5) - (b * y4)))
	elif y4 <= 6.4e+242:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	else:
		tmp = j * (y4 * ((t * b) - (y1 * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y4 <= -5e+157)
		tmp = Float64(j * Float64(t * Float64(b * y4)));
	elseif (y4 <= -1.8e+88)
		tmp = Float64(Float64(j * y1) * Float64(Float64(x * i) - Float64(y3 * y4)));
	elseif (y4 <= -1.05e-84)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (y4 <= -2.5e-222)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y4 <= -9e-299)
		tmp = Float64(t * Float64(y5 * Float64(Float64(a * y2) - Float64(i * j))));
	elseif (y4 <= 2.2e-205)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y4 <= 6.6e-13)
		tmp = Float64(y3 * Float64(a * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y4 <= 1.85e+86)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y4 <= 1.95e+116)
		tmp = Float64(x * Float64(c * Float64(y0 * y2)));
	elseif (y4 <= 1.35e+207)
		tmp = Float64(k * Float64(y * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y4 <= 6.4e+242)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	else
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y4 <= -5e+157)
		tmp = j * (t * (b * y4));
	elseif (y4 <= -1.8e+88)
		tmp = (j * y1) * ((x * i) - (y3 * y4));
	elseif (y4 <= -1.05e-84)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (y4 <= -2.5e-222)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y4 <= -9e-299)
		tmp = t * (y5 * ((a * y2) - (i * j)));
	elseif (y4 <= 2.2e-205)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y4 <= 6.6e-13)
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	elseif (y4 <= 1.85e+86)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y4 <= 1.95e+116)
		tmp = x * (c * (y0 * y2));
	elseif (y4 <= 1.35e+207)
		tmp = k * (y * ((i * y5) - (b * y4)));
	elseif (y4 <= 6.4e+242)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	else
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y4, -5e+157], N[(j * N[(t * N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.8e+88], N[(N[(j * y1), $MachinePrecision] * N[(N[(x * i), $MachinePrecision] - N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.05e-84], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.5e-222], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -9e-299], N[(t * N[(y5 * N[(N[(a * y2), $MachinePrecision] - N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.2e-205], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.6e-13], N[(y3 * N[(a * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.85e+86], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.95e+116], N[(x * N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.35e+207], N[(k * N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.4e+242], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y4 < -4.99999999999999976e157

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 44.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 44.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 44.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 44.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 44.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 44.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 56.2%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   6. Taylor expanded in b around inf 56.3%

      \[\leadsto j \cdot \left(t \cdot \color{blue}{\left(b \cdot y4\right)}\right) \]

   if -4.99999999999999976e157 < y4 < -1.8000000000000001e88

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 7.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 7.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 7.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 7.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 7.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 7.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y1 around -inf 58.4%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 58.5%

         \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)} \]

      2. +-commutative 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x + -1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. mul-1-neg 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(i \cdot x + \color{blue}{\left(-y3 \cdot y4\right)}\right) \]

      4. unsub-neg 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x - y3 \cdot y4\right)} \]

      5. *-commutative 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

      6. *-commutative 58.5%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(x \cdot i - \color{blue}{y4 \cdot y3}\right) \]

   7. Simplified 58.5%

      \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(x \cdot i - y4 \cdot y3\right)} \]

   if -1.8000000000000001e88 < y4 < -1.04999999999999999e-84

   1. Initial program 38.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 48.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y4 around inf 43.4%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]

   if -1.04999999999999999e-84 < y4 < -2.50000000000000004e-222

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 57.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 57.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 57.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 57.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 57.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 57.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 57.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 57.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 57.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 58.1%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -2.50000000000000004e-222 < y4 < -9.00000000000000006e-299

   1. Initial program 31.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 32.2%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in t around inf 50.6%

      \[\leadsto -1 \cdot \color{blue}{\left(t \cdot \left(y5 \cdot \left(i \cdot j - a \cdot y2\right)\right)\right)} \]

   if -9.00000000000000006e-299 < y4 < 2.20000000000000009e-205

   1. Initial program 16.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 42.3%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.3%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 42.3%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 42.3%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 42.3%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 42.3%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in i around -inf 47.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z - y \cdot y5\right)\right)\right)} \]

   if 2.20000000000000009e-205 < y4 < 6.6000000000000001e-13

   1. Initial program 29.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.9%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 61.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in y3 around inf 56.9%

      \[\leadsto \color{blue}{a \cdot \left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 56.9%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right) \cdot a} \]

      2. associate-*l* 59.2%

         \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   7. Simplified 59.2%

      \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   if 6.6000000000000001e-13 < y4 < 1.84999999999999996e86

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 50.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 50.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 50.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 50.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 50.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 50.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in x around inf 65.9%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 65.9%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 65.9%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   7. Simplified 65.9%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 1.84999999999999996e86 < y4 < 1.95000000000000016e116

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 62.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 63.6%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 63.6%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 63.6%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 63.6%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 63.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 51.4%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2\right)} \]

      2. *-commutative 51.4%

         \[\leadsto \color{blue}{\left(x \cdot c\right)} \cdot \left(y0 \cdot y2\right) \]

      3. associate-*l* 75.5%

         \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)} \]

   8. Simplified 75.5%

      \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)} \]

   if 1.95000000000000016e116 < y4 < 1.35000000000000012e207

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 60.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 60.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 60.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 60.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 60.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in y around inf 60.6%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)} \]

   if 1.35000000000000012e207 < y4 < 6.4000000000000003e242

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 50.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 83.5%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if 6.4000000000000003e242 < y4

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 64.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 64.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 64.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 64.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 64.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 64.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 85.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 85.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 85.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 59.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -5 \cdot 10^{+157}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{+88}:\\ \;\;\;\;\left(j \cdot y1\right) \cdot \left(x \cdot i - y3 \cdot y4\right)\\ \mathbf{elif}\;y4 \leq -1.05 \cdot 10^{-84}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -2.5 \cdot 10^{-222}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -9 \cdot 10^{-299}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 2.2 \cdot 10^{-205}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y4 \leq 6.6 \cdot 10^{-13}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.85 \cdot 10^{+86}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 1.95 \cdot 10^{+116}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 1.35 \cdot 10^{+207}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 6.4 \cdot 10^{+242}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \]

Alternative 15: 30.3% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y3 \cdot y5 - x \cdot b\\ t_2 := t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;j \leq -4.3 \cdot 10^{+113}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -4.2 \cdot 10^{-44}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -1.08 \cdot 10^{-69}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq -1.1 \cdot 10^{-150}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq -5.4 \cdot 10^{-199}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -1.02 \cdot 10^{-215}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 3.7 \cdot 10^{-81}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 14000000000000:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(j \cdot t_1\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{+237}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot t_1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y3 y5) (* x b))) (t_2 (* t (* y2 (- (* a y5) (* c y4))))))
   (if (<= j -4.3e+113)
     (* j (* t (- (* b y4) (* i y5))))
     (if (<= j -4.2e-44)
       (* c (* y2 (- (* x y0) (* t y4))))
       (if (<= j -1.08e-69)
         (* j (* y4 (- (* t b) (* y1 y3))))
         (if (<= j -1.1e-150)
           (* c (* x (* y0 y2)))
           (if (<= j -5.4e-199)
             t_2
             (if (<= j -1.02e-215)
               (* b (* j (* t y4)))
               (if (<= j 3.7e-81)
                 (* c (* y0 (- (* x y2) (* z y3))))
                 (if (<= j 14000000000000.0)
                   t_2
                   (if (<= j 2.8e+188)
                     (* y0 (* j t_1))
                     (if (<= j 5.5e+237)
                       (* b (* y4 (- (* t j) (* y k))))
                       (* j (* y0 t_1))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y3 * y5) - (x * b);
	double t_2 = t * (y2 * ((a * y5) - (c * y4)));
	double tmp;
	if (j <= -4.3e+113) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (j <= -4.2e-44) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (j <= -1.08e-69) {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	} else if (j <= -1.1e-150) {
		tmp = c * (x * (y0 * y2));
	} else if (j <= -5.4e-199) {
		tmp = t_2;
	} else if (j <= -1.02e-215) {
		tmp = b * (j * (t * y4));
	} else if (j <= 3.7e-81) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 14000000000000.0) {
		tmp = t_2;
	} else if (j <= 2.8e+188) {
		tmp = y0 * (j * t_1);
	} else if (j <= 5.5e+237) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = j * (y0 * t_1);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (y3 * y5) - (x * b)
    t_2 = t * (y2 * ((a * y5) - (c * y4)))
    if (j <= (-4.3d+113)) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (j <= (-4.2d-44)) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (j <= (-1.08d-69)) then
        tmp = j * (y4 * ((t * b) - (y1 * y3)))
    else if (j <= (-1.1d-150)) then
        tmp = c * (x * (y0 * y2))
    else if (j <= (-5.4d-199)) then
        tmp = t_2
    else if (j <= (-1.02d-215)) then
        tmp = b * (j * (t * y4))
    else if (j <= 3.7d-81) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (j <= 14000000000000.0d0) then
        tmp = t_2
    else if (j <= 2.8d+188) then
        tmp = y0 * (j * t_1)
    else if (j <= 5.5d+237) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else
        tmp = j * (y0 * t_1)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y3 * y5) - (x * b);
	double t_2 = t * (y2 * ((a * y5) - (c * y4)));
	double tmp;
	if (j <= -4.3e+113) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (j <= -4.2e-44) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (j <= -1.08e-69) {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	} else if (j <= -1.1e-150) {
		tmp = c * (x * (y0 * y2));
	} else if (j <= -5.4e-199) {
		tmp = t_2;
	} else if (j <= -1.02e-215) {
		tmp = b * (j * (t * y4));
	} else if (j <= 3.7e-81) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 14000000000000.0) {
		tmp = t_2;
	} else if (j <= 2.8e+188) {
		tmp = y0 * (j * t_1);
	} else if (j <= 5.5e+237) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = j * (y0 * t_1);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y3 * y5) - (x * b)
	t_2 = t * (y2 * ((a * y5) - (c * y4)))
	tmp = 0
	if j <= -4.3e+113:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif j <= -4.2e-44:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif j <= -1.08e-69:
		tmp = j * (y4 * ((t * b) - (y1 * y3)))
	elif j <= -1.1e-150:
		tmp = c * (x * (y0 * y2))
	elif j <= -5.4e-199:
		tmp = t_2
	elif j <= -1.02e-215:
		tmp = b * (j * (t * y4))
	elif j <= 3.7e-81:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif j <= 14000000000000.0:
		tmp = t_2
	elif j <= 2.8e+188:
		tmp = y0 * (j * t_1)
	elif j <= 5.5e+237:
		tmp = b * (y4 * ((t * j) - (y * k)))
	else:
		tmp = j * (y0 * t_1)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y3 * y5) - Float64(x * b))
	t_2 = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))))
	tmp = 0.0
	if (j <= -4.3e+113)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (j <= -4.2e-44)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (j <= -1.08e-69)
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * y3))));
	elseif (j <= -1.1e-150)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (j <= -5.4e-199)
		tmp = t_2;
	elseif (j <= -1.02e-215)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (j <= 3.7e-81)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (j <= 14000000000000.0)
		tmp = t_2;
	elseif (j <= 2.8e+188)
		tmp = Float64(y0 * Float64(j * t_1));
	elseif (j <= 5.5e+237)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = Float64(j * Float64(y0 * t_1));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y3 * y5) - (x * b);
	t_2 = t * (y2 * ((a * y5) - (c * y4)));
	tmp = 0.0;
	if (j <= -4.3e+113)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (j <= -4.2e-44)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (j <= -1.08e-69)
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	elseif (j <= -1.1e-150)
		tmp = c * (x * (y0 * y2));
	elseif (j <= -5.4e-199)
		tmp = t_2;
	elseif (j <= -1.02e-215)
		tmp = b * (j * (t * y4));
	elseif (j <= 3.7e-81)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (j <= 14000000000000.0)
		tmp = t_2;
	elseif (j <= 2.8e+188)
		tmp = y0 * (j * t_1);
	elseif (j <= 5.5e+237)
		tmp = b * (y4 * ((t * j) - (y * k)));
	else
		tmp = j * (y0 * t_1);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -4.3e+113], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -4.2e-44], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.08e-69], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.1e-150], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -5.4e-199], t$95$2, If[LessEqual[j, -1.02e-215], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.7e-81], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 14000000000000.0], t$95$2, If[LessEqual[j, 2.8e+188], N[(y0 * N[(j * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 5.5e+237], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if j < -4.3000000000000003e113

   1. Initial program 15.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 61.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 61.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 61.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 61.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 61.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 61.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 57.5%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if -4.3000000000000003e113 < j < -4.20000000000000003e-44

   1. Initial program 37.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 41.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 35.4%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if -4.20000000000000003e-44 < j < -1.0800000000000001e-69

   1. Initial program 37.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 26.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 26.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 26.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 26.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 26.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 26.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 50.9%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 50.9%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 50.9%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   if -1.0800000000000001e-69 < j < -1.1e-150

   1. Initial program 52.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 48.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 34.6%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 34.6%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 34.6%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 34.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 34.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 34.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 34.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 34.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 34.6%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 44.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if -1.1e-150 < j < -5.39999999999999979e-199 or 3.69999999999999986e-81 < j < 1.4e13

   1. Initial program 18.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 52.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 61.3%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -5.39999999999999979e-199 < j < -1.0200000000000001e-215

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 25.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 25.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 25.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 25.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 25.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 25.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 75.4%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   6. Taylor expanded in b around inf 75.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]

   if -1.0200000000000001e-215 < j < 3.69999999999999986e-81

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 37.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 37.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 37.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 37.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 37.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 37.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 37.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 37.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 37.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 43.7%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.4e13 < j < 2.7999999999999998e188

   1. Initial program 26.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 55.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 57.8%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)} \]

      2. *-commutative 57.8%

         \[\leadsto \color{blue}{\left(y0 \cdot j\right)} \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right) \]

      3. associate-*l* 57.9%

         \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]

      4. +-commutative 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      5. mul-1-neg 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      6. unsub-neg 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      7. *-commutative 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 57.9%

      \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 2.7999999999999998e188 < j < 5.5000000000000001e237

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 42.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 42.1%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 42.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in b around inf 84.0%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 5.5000000000000001e237 < j

   1. Initial program 27.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 100.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 100.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 100.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y0 around -inf 82.4%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 82.4%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 82.4%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 82.4%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 82.4%

         \[\leadsto j \cdot \left(y0 \cdot \left(\color{blue}{y5 \cdot y3} - b \cdot x\right)\right) \]

      5. *-commutative 82.4%

         \[\leadsto j \cdot \left(y0 \cdot \left(y5 \cdot y3 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 82.4%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y5 \cdot y3 - x \cdot b\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 53.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -4.3 \cdot 10^{+113}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -4.2 \cdot 10^{-44}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -1.08 \cdot 10^{-69}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq -1.1 \cdot 10^{-150}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq -5.4 \cdot 10^{-199}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq -1.02 \cdot 10^{-215}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 3.7 \cdot 10^{-81}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 14000000000000:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 2.8 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{+237}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \]

Alternative 16: 31.0% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_2 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;y4 \leq -6.6 \cdot 10^{-84}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -3.1 \cdot 10^{-223}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{-263}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 2.25 \cdot 10^{-237}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y4 \leq 9.8 \cdot 10^{-113}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y4 \leq 6.8 \cdot 10^{-46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y4 \leq 6.2 \cdot 10^{+85}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y4 \leq 1.95 \cdot 10^{+120}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 2.4 \cdot 10^{+206}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.1 \cdot 10^{+243}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y0 (- (* x y2) (* z y3)))))
        (t_2 (* j (* x (- (* i y1) (* b y0))))))
   (if (<= y4 -6.6e-84)
     (* y2 (* y4 (- (* k y1) (* t c))))
     (if (<= y4 -3.1e-223)
       t_1
       (if (<= y4 -1e-263)
         (* x (* a (- (* y b) (* y1 y2))))
         (if (<= y4 2.25e-237)
           t_1
           (if (<= y4 9.8e-113)
             t_2
             (if (<= y4 6.8e-46)
               t_1
               (if (<= y4 6.2e+85)
                 t_2
                 (if (<= y4 1.95e+120)
                   (* x (* c (* y0 y2)))
                   (if (<= y4 2.4e+206)
                     (* k (* y (- (* i y5) (* b y4))))
                     (if (<= y4 1.1e+243)
                       (* c (* y2 (- (* x y0) (* t y4))))
                       (* j (* y4 (- (* t b) (* y1 y3))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double t_2 = j * (x * ((i * y1) - (b * y0)));
	double tmp;
	if (y4 <= -6.6e-84) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -3.1e-223) {
		tmp = t_1;
	} else if (y4 <= -1e-263) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (y4 <= 2.25e-237) {
		tmp = t_1;
	} else if (y4 <= 9.8e-113) {
		tmp = t_2;
	} else if (y4 <= 6.8e-46) {
		tmp = t_1;
	} else if (y4 <= 6.2e+85) {
		tmp = t_2;
	} else if (y4 <= 1.95e+120) {
		tmp = x * (c * (y0 * y2));
	} else if (y4 <= 2.4e+206) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y4 <= 1.1e+243) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = c * (y0 * ((x * y2) - (z * y3)))
    t_2 = j * (x * ((i * y1) - (b * y0)))
    if (y4 <= (-6.6d-84)) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (y4 <= (-3.1d-223)) then
        tmp = t_1
    else if (y4 <= (-1d-263)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (y4 <= 2.25d-237) then
        tmp = t_1
    else if (y4 <= 9.8d-113) then
        tmp = t_2
    else if (y4 <= 6.8d-46) then
        tmp = t_1
    else if (y4 <= 6.2d+85) then
        tmp = t_2
    else if (y4 <= 1.95d+120) then
        tmp = x * (c * (y0 * y2))
    else if (y4 <= 2.4d+206) then
        tmp = k * (y * ((i * y5) - (b * y4)))
    else if (y4 <= 1.1d+243) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else
        tmp = j * (y4 * ((t * b) - (y1 * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double t_2 = j * (x * ((i * y1) - (b * y0)));
	double tmp;
	if (y4 <= -6.6e-84) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -3.1e-223) {
		tmp = t_1;
	} else if (y4 <= -1e-263) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (y4 <= 2.25e-237) {
		tmp = t_1;
	} else if (y4 <= 9.8e-113) {
		tmp = t_2;
	} else if (y4 <= 6.8e-46) {
		tmp = t_1;
	} else if (y4 <= 6.2e+85) {
		tmp = t_2;
	} else if (y4 <= 1.95e+120) {
		tmp = x * (c * (y0 * y2));
	} else if (y4 <= 2.4e+206) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y4 <= 1.1e+243) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y0 * ((x * y2) - (z * y3)))
	t_2 = j * (x * ((i * y1) - (b * y0)))
	tmp = 0
	if y4 <= -6.6e-84:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif y4 <= -3.1e-223:
		tmp = t_1
	elif y4 <= -1e-263:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif y4 <= 2.25e-237:
		tmp = t_1
	elif y4 <= 9.8e-113:
		tmp = t_2
	elif y4 <= 6.8e-46:
		tmp = t_1
	elif y4 <= 6.2e+85:
		tmp = t_2
	elif y4 <= 1.95e+120:
		tmp = x * (c * (y0 * y2))
	elif y4 <= 2.4e+206:
		tmp = k * (y * ((i * y5) - (b * y4)))
	elif y4 <= 1.1e+243:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	else:
		tmp = j * (y4 * ((t * b) - (y1 * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	t_2 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	tmp = 0.0
	if (y4 <= -6.6e-84)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (y4 <= -3.1e-223)
		tmp = t_1;
	elseif (y4 <= -1e-263)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y4 <= 2.25e-237)
		tmp = t_1;
	elseif (y4 <= 9.8e-113)
		tmp = t_2;
	elseif (y4 <= 6.8e-46)
		tmp = t_1;
	elseif (y4 <= 6.2e+85)
		tmp = t_2;
	elseif (y4 <= 1.95e+120)
		tmp = Float64(x * Float64(c * Float64(y0 * y2)));
	elseif (y4 <= 2.4e+206)
		tmp = Float64(k * Float64(y * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y4 <= 1.1e+243)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	else
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y0 * ((x * y2) - (z * y3)));
	t_2 = j * (x * ((i * y1) - (b * y0)));
	tmp = 0.0;
	if (y4 <= -6.6e-84)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (y4 <= -3.1e-223)
		tmp = t_1;
	elseif (y4 <= -1e-263)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (y4 <= 2.25e-237)
		tmp = t_1;
	elseif (y4 <= 9.8e-113)
		tmp = t_2;
	elseif (y4 <= 6.8e-46)
		tmp = t_1;
	elseif (y4 <= 6.2e+85)
		tmp = t_2;
	elseif (y4 <= 1.95e+120)
		tmp = x * (c * (y0 * y2));
	elseif (y4 <= 2.4e+206)
		tmp = k * (y * ((i * y5) - (b * y4)));
	elseif (y4 <= 1.1e+243)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	else
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -6.6e-84], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.1e-223], t$95$1, If[LessEqual[y4, -1e-263], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.25e-237], t$95$1, If[LessEqual[y4, 9.8e-113], t$95$2, If[LessEqual[y4, 6.8e-46], t$95$1, If[LessEqual[y4, 6.2e+85], t$95$2, If[LessEqual[y4, 1.95e+120], N[(x * N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.4e+206], N[(k * N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.1e+243], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y4 < -6.59999999999999968e-84

   1. Initial program 22.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 41.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y4 around inf 45.2%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]

   if -6.59999999999999968e-84 < y4 < -3.10000000000000018e-223 or -1e-263 < y4 < 2.25000000000000005e-237 or 9.8000000000000006e-113 < y4 < 6.79999999999999992e-46

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 52.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 52.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 52.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 52.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 52.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 54.6%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -3.10000000000000018e-223 < y4 < -1e-263

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in x around inf 51.2%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 51.2%

         \[\leadsto \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot a} \]

      2. associate-*l* 51.1%

         \[\leadsto \color{blue}{x \cdot \left(\left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right) \cdot a\right)} \]

      3. +-commutative 51.1%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)} \cdot a\right) \]

      4. mul-1-neg 51.1%

         \[\leadsto x \cdot \left(\left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right) \cdot a\right) \]

      5. unsub-neg 51.1%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y - y1 \cdot y2\right)} \cdot a\right) \]

   7. Simplified 51.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(b \cdot y - y1 \cdot y2\right) \cdot a\right)} \]

   if 2.25000000000000005e-237 < y4 < 9.8000000000000006e-113 or 6.79999999999999992e-46 < y4 < 6.20000000000000023e85

   1. Initial program 23.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 43.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 43.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 43.8%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 43.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 43.8%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 43.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in x around inf 48.1%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 48.1%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 48.1%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   7. Simplified 48.1%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 6.20000000000000023e85 < y4 < 1.9499999999999999e120

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 62.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 63.6%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 63.6%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 63.6%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 63.6%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 63.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 51.4%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2\right)} \]

      2. *-commutative 51.4%

         \[\leadsto \color{blue}{\left(x \cdot c\right)} \cdot \left(y0 \cdot y2\right) \]

      3. associate-*l* 75.5%

         \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)} \]

   8. Simplified 75.5%

      \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)} \]

   if 1.9499999999999999e120 < y4 < 2.4e206

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 60.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 60.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 60.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 60.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 60.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in y around inf 60.6%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)} \]

   if 2.4e206 < y4 < 1.10000000000000004e243

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 50.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 83.5%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if 1.10000000000000004e243 < y4

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 64.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 64.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 64.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 64.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 64.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 64.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 85.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 85.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 85.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 54.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -6.6 \cdot 10^{-84}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -3.1 \cdot 10^{-223}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{-263}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 2.25 \cdot 10^{-237}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 9.8 \cdot 10^{-113}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 6.8 \cdot 10^{-46}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 6.2 \cdot 10^{+85}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 1.95 \cdot 10^{+120}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 2.4 \cdot 10^{+206}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.1 \cdot 10^{+243}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \]

Alternative 17: 30.0% accurate, 3.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ t_2 := x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ t_3 := c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{if}\;k \leq -2.75 \cdot 10^{+110}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq -3 \cdot 10^{-79}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq -2.8 \cdot 10^{-205}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 3.25 \cdot 10^{-292}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 3.2 \cdot 10^{-223}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 2.6 \cdot 10^{-128}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.36 \cdot 10^{-14}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 5.6 \cdot 10^{+118}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 8.4 \cdot 10^{+167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* t (- (* b y4) (* i y5)))))
        (t_2 (* x (* a (- (* y b) (* y1 y2)))))
        (t_3 (* c (* y2 (- (* x y0) (* t y4))))))
   (if (<= k -2.75e+110)
     (* y0 (* b (* z k)))
     (if (<= k -3e-79)
       t_3
       (if (<= k -2.8e-205)
         t_2
         (if (<= k 3.25e-292)
           t_3
           (if (<= k 3.2e-223)
             t_1
             (if (<= k 2.6e-128)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= k 1.36e-14)
                 t_2
                 (if (<= k 5.6e+118)
                   t_1
                   (if (<= k 8.4e+167)
                     (* j (* x (- (* i y1) (* b y0))))
                     (* k (* y (- (* i y5) (* b y4)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (t * ((b * y4) - (i * y5)));
	double t_2 = x * (a * ((y * b) - (y1 * y2)));
	double t_3 = c * (y2 * ((x * y0) - (t * y4)));
	double tmp;
	if (k <= -2.75e+110) {
		tmp = y0 * (b * (z * k));
	} else if (k <= -3e-79) {
		tmp = t_3;
	} else if (k <= -2.8e-205) {
		tmp = t_2;
	} else if (k <= 3.25e-292) {
		tmp = t_3;
	} else if (k <= 3.2e-223) {
		tmp = t_1;
	} else if (k <= 2.6e-128) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= 1.36e-14) {
		tmp = t_2;
	} else if (k <= 5.6e+118) {
		tmp = t_1;
	} else if (k <= 8.4e+167) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = k * (y * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = j * (t * ((b * y4) - (i * y5)))
    t_2 = x * (a * ((y * b) - (y1 * y2)))
    t_3 = c * (y2 * ((x * y0) - (t * y4)))
    if (k <= (-2.75d+110)) then
        tmp = y0 * (b * (z * k))
    else if (k <= (-3d-79)) then
        tmp = t_3
    else if (k <= (-2.8d-205)) then
        tmp = t_2
    else if (k <= 3.25d-292) then
        tmp = t_3
    else if (k <= 3.2d-223) then
        tmp = t_1
    else if (k <= 2.6d-128) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (k <= 1.36d-14) then
        tmp = t_2
    else if (k <= 5.6d+118) then
        tmp = t_1
    else if (k <= 8.4d+167) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else
        tmp = k * (y * ((i * y5) - (b * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (t * ((b * y4) - (i * y5)));
	double t_2 = x * (a * ((y * b) - (y1 * y2)));
	double t_3 = c * (y2 * ((x * y0) - (t * y4)));
	double tmp;
	if (k <= -2.75e+110) {
		tmp = y0 * (b * (z * k));
	} else if (k <= -3e-79) {
		tmp = t_3;
	} else if (k <= -2.8e-205) {
		tmp = t_2;
	} else if (k <= 3.25e-292) {
		tmp = t_3;
	} else if (k <= 3.2e-223) {
		tmp = t_1;
	} else if (k <= 2.6e-128) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= 1.36e-14) {
		tmp = t_2;
	} else if (k <= 5.6e+118) {
		tmp = t_1;
	} else if (k <= 8.4e+167) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = k * (y * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (t * ((b * y4) - (i * y5)))
	t_2 = x * (a * ((y * b) - (y1 * y2)))
	t_3 = c * (y2 * ((x * y0) - (t * y4)))
	tmp = 0
	if k <= -2.75e+110:
		tmp = y0 * (b * (z * k))
	elif k <= -3e-79:
		tmp = t_3
	elif k <= -2.8e-205:
		tmp = t_2
	elif k <= 3.25e-292:
		tmp = t_3
	elif k <= 3.2e-223:
		tmp = t_1
	elif k <= 2.6e-128:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif k <= 1.36e-14:
		tmp = t_2
	elif k <= 5.6e+118:
		tmp = t_1
	elif k <= 8.4e+167:
		tmp = j * (x * ((i * y1) - (b * y0)))
	else:
		tmp = k * (y * ((i * y5) - (b * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))))
	t_2 = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))))
	t_3 = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))))
	tmp = 0.0
	if (k <= -2.75e+110)
		tmp = Float64(y0 * Float64(b * Float64(z * k)));
	elseif (k <= -3e-79)
		tmp = t_3;
	elseif (k <= -2.8e-205)
		tmp = t_2;
	elseif (k <= 3.25e-292)
		tmp = t_3;
	elseif (k <= 3.2e-223)
		tmp = t_1;
	elseif (k <= 2.6e-128)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (k <= 1.36e-14)
		tmp = t_2;
	elseif (k <= 5.6e+118)
		tmp = t_1;
	elseif (k <= 8.4e+167)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = Float64(k * Float64(y * Float64(Float64(i * y5) - Float64(b * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (t * ((b * y4) - (i * y5)));
	t_2 = x * (a * ((y * b) - (y1 * y2)));
	t_3 = c * (y2 * ((x * y0) - (t * y4)));
	tmp = 0.0;
	if (k <= -2.75e+110)
		tmp = y0 * (b * (z * k));
	elseif (k <= -3e-79)
		tmp = t_3;
	elseif (k <= -2.8e-205)
		tmp = t_2;
	elseif (k <= 3.25e-292)
		tmp = t_3;
	elseif (k <= 3.2e-223)
		tmp = t_1;
	elseif (k <= 2.6e-128)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (k <= 1.36e-14)
		tmp = t_2;
	elseif (k <= 5.6e+118)
		tmp = t_1;
	elseif (k <= 8.4e+167)
		tmp = j * (x * ((i * y1) - (b * y0)));
	else
		tmp = k * (y * ((i * y5) - (b * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -2.75e+110], N[(y0 * N[(b * N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3e-79], t$95$3, If[LessEqual[k, -2.8e-205], t$95$2, If[LessEqual[k, 3.25e-292], t$95$3, If[LessEqual[k, 3.2e-223], t$95$1, If[LessEqual[k, 2.6e-128], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.36e-14], t$95$2, If[LessEqual[k, 5.6e+118], t$95$1, If[LessEqual[k, 8.4e+167], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if k < -2.74999999999999998e110

   1. Initial program 37.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 65.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 65.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 65.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 65.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 65.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 65.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in b around inf 44.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z - y \cdot y4\right)\right)} \]

   6. Taylor expanded in y0 around inf 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 33.7%

         \[\leadsto b \cdot \left(k \cdot \color{blue}{\left(z \cdot y0\right)}\right) \]

   8. Simplified 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(z \cdot y0\right)\right)} \]

   9. Taylor expanded in b around 0 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 33.6%

          \[\leadsto \color{blue}{\left(b \cdot k\right) \cdot \left(y0 \cdot z\right)} \]

       2. *-commutative 33.6%

          \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(b \cdot k\right)} \]

       3. associate-*l* 42.5%

          \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(b \cdot k\right)\right)} \]

       4. *-commutative 42.5%

          \[\leadsto y0 \cdot \left(z \cdot \color{blue}{\left(k \cdot b\right)}\right) \]

       5. associate-*l* 47.0%

          \[\leadsto y0 \cdot \color{blue}{\left(\left(z \cdot k\right) \cdot b\right)} \]

       6. *-commutative 47.0%

          \[\leadsto y0 \cdot \color{blue}{\left(b \cdot \left(z \cdot k\right)\right)} \]

   11. Simplified 47.0%

       \[\leadsto \color{blue}{y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)} \]

   if -2.74999999999999998e110 < k < -3e-79 or -2.79999999999999991e-205 < k < 3.2499999999999998e-292

   1. Initial program 29.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 46.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 48.2%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if -3e-79 < k < -2.79999999999999991e-205 or 2.59999999999999981e-128 < k < 1.36e-14

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.5%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 47.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in x around inf 48.1%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 48.1%

         \[\leadsto \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot a} \]

      2. associate-*l* 48.4%

         \[\leadsto \color{blue}{x \cdot \left(\left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right) \cdot a\right)} \]

      3. +-commutative 48.4%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)} \cdot a\right) \]

      4. mul-1-neg 48.4%

         \[\leadsto x \cdot \left(\left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right) \cdot a\right) \]

      5. unsub-neg 48.4%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y - y1 \cdot y2\right)} \cdot a\right) \]

   7. Simplified 48.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(b \cdot y - y1 \cdot y2\right) \cdot a\right)} \]

   if 3.2499999999999998e-292 < k < 3.2000000000000001e-223 or 1.36e-14 < k < 5.59999999999999972e118

   1. Initial program 20.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 58.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 58.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 58.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 58.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 58.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 58.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 56.7%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 3.2000000000000001e-223 < k < 2.59999999999999981e-128

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 47.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 47.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 47.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 60.6%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 5.59999999999999972e118 < k < 8.3999999999999997e167

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 63.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 63.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 63.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 63.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 63.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 63.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in x around inf 55.1%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 55.1%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 55.1%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   7. Simplified 55.1%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 8.3999999999999997e167 < k

   1. Initial program 14.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 67.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 67.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 67.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 67.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 67.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 67.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in y around inf 48.7%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 50.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -2.75 \cdot 10^{+110}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq -3 \cdot 10^{-79}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -2.8 \cdot 10^{-205}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 3.25 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 3.2 \cdot 10^{-223}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.6 \cdot 10^{-128}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.36 \cdot 10^{-14}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 5.6 \cdot 10^{+118}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 8.4 \cdot 10^{+167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \]

Alternative 18: 30.9% accurate, 3.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{if}\;y4 \leq -1.7 \cdot 10^{-82}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -2 \cdot 10^{-222}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y4 \leq -4.3 \cdot 10^{-262}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 2 \cdot 10^{-202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y4 \leq 7.4 \cdot 10^{-12}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 2.25 \cdot 10^{+86}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 4 \cdot 10^{+119}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 9 \cdot 10^{+205}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.1 \cdot 10^{+243}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y0 (- (* x y2) (* z y3))))))
   (if (<= y4 -1.7e-82)
     (* y2 (* y4 (- (* k y1) (* t c))))
     (if (<= y4 -2e-222)
       t_1
       (if (<= y4 -4.3e-262)
         (* x (* a (- (* y b) (* y1 y2))))
         (if (<= y4 2e-202)
           t_1
           (if (<= y4 7.4e-12)
             (* y3 (* a (- (* z y1) (* y y5))))
             (if (<= y4 2.25e+86)
               (* j (* x (- (* i y1) (* b y0))))
               (if (<= y4 4e+119)
                 (* x (* c (* y0 y2)))
                 (if (<= y4 9e+205)
                   (* k (* y (- (* i y5) (* b y4))))
                   (if (<= y4 1.1e+243)
                     (* c (* y2 (- (* x y0) (* t y4))))
                     (* j (* y4 (- (* t b) (* y1 y3)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y4 <= -1.7e-82) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -2e-222) {
		tmp = t_1;
	} else if (y4 <= -4.3e-262) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (y4 <= 2e-202) {
		tmp = t_1;
	} else if (y4 <= 7.4e-12) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y4 <= 2.25e+86) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y4 <= 4e+119) {
		tmp = x * (c * (y0 * y2));
	} else if (y4 <= 9e+205) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y4 <= 1.1e+243) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (y0 * ((x * y2) - (z * y3)))
    if (y4 <= (-1.7d-82)) then
        tmp = y2 * (y4 * ((k * y1) - (t * c)))
    else if (y4 <= (-2d-222)) then
        tmp = t_1
    else if (y4 <= (-4.3d-262)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (y4 <= 2d-202) then
        tmp = t_1
    else if (y4 <= 7.4d-12) then
        tmp = y3 * (a * ((z * y1) - (y * y5)))
    else if (y4 <= 2.25d+86) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y4 <= 4d+119) then
        tmp = x * (c * (y0 * y2))
    else if (y4 <= 9d+205) then
        tmp = k * (y * ((i * y5) - (b * y4)))
    else if (y4 <= 1.1d+243) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else
        tmp = j * (y4 * ((t * b) - (y1 * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y4 <= -1.7e-82) {
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	} else if (y4 <= -2e-222) {
		tmp = t_1;
	} else if (y4 <= -4.3e-262) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (y4 <= 2e-202) {
		tmp = t_1;
	} else if (y4 <= 7.4e-12) {
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	} else if (y4 <= 2.25e+86) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y4 <= 4e+119) {
		tmp = x * (c * (y0 * y2));
	} else if (y4 <= 9e+205) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y4 <= 1.1e+243) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else {
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y0 * ((x * y2) - (z * y3)))
	tmp = 0
	if y4 <= -1.7e-82:
		tmp = y2 * (y4 * ((k * y1) - (t * c)))
	elif y4 <= -2e-222:
		tmp = t_1
	elif y4 <= -4.3e-262:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif y4 <= 2e-202:
		tmp = t_1
	elif y4 <= 7.4e-12:
		tmp = y3 * (a * ((z * y1) - (y * y5)))
	elif y4 <= 2.25e+86:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y4 <= 4e+119:
		tmp = x * (c * (y0 * y2))
	elif y4 <= 9e+205:
		tmp = k * (y * ((i * y5) - (b * y4)))
	elif y4 <= 1.1e+243:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	else:
		tmp = j * (y4 * ((t * b) - (y1 * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	tmp = 0.0
	if (y4 <= -1.7e-82)
		tmp = Float64(y2 * Float64(y4 * Float64(Float64(k * y1) - Float64(t * c))));
	elseif (y4 <= -2e-222)
		tmp = t_1;
	elseif (y4 <= -4.3e-262)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y4 <= 2e-202)
		tmp = t_1;
	elseif (y4 <= 7.4e-12)
		tmp = Float64(y3 * Float64(a * Float64(Float64(z * y1) - Float64(y * y5))));
	elseif (y4 <= 2.25e+86)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y4 <= 4e+119)
		tmp = Float64(x * Float64(c * Float64(y0 * y2)));
	elseif (y4 <= 9e+205)
		tmp = Float64(k * Float64(y * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y4 <= 1.1e+243)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	else
		tmp = Float64(j * Float64(y4 * Float64(Float64(t * b) - Float64(y1 * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y0 * ((x * y2) - (z * y3)));
	tmp = 0.0;
	if (y4 <= -1.7e-82)
		tmp = y2 * (y4 * ((k * y1) - (t * c)));
	elseif (y4 <= -2e-222)
		tmp = t_1;
	elseif (y4 <= -4.3e-262)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (y4 <= 2e-202)
		tmp = t_1;
	elseif (y4 <= 7.4e-12)
		tmp = y3 * (a * ((z * y1) - (y * y5)));
	elseif (y4 <= 2.25e+86)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y4 <= 4e+119)
		tmp = x * (c * (y0 * y2));
	elseif (y4 <= 9e+205)
		tmp = k * (y * ((i * y5) - (b * y4)));
	elseif (y4 <= 1.1e+243)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	else
		tmp = j * (y4 * ((t * b) - (y1 * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -1.7e-82], N[(y2 * N[(y4 * N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2e-222], t$95$1, If[LessEqual[y4, -4.3e-262], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2e-202], t$95$1, If[LessEqual[y4, 7.4e-12], N[(y3 * N[(a * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.25e+86], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4e+119], N[(x * N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 9e+205], N[(k * N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.1e+243], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y4 * N[(N[(t * b), $MachinePrecision] - N[(y1 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -1.69999999999999988e-82

   1. Initial program 22.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 41.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y4 around inf 45.2%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]

   if -1.69999999999999988e-82 < y4 < -2.0000000000000001e-222 or -4.3000000000000001e-262 < y4 < 2.0000000000000001e-202

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 47.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 47.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 47.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 47.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 48.9%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -2.0000000000000001e-222 < y4 < -4.3000000000000001e-262

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 20.0%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in x around inf 51.2%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 51.2%

         \[\leadsto \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot a} \]

      2. associate-*l* 51.1%

         \[\leadsto \color{blue}{x \cdot \left(\left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right) \cdot a\right)} \]

      3. +-commutative 51.1%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)} \cdot a\right) \]

      4. mul-1-neg 51.1%

         \[\leadsto x \cdot \left(\left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right) \cdot a\right) \]

      5. unsub-neg 51.1%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y - y1 \cdot y2\right)} \cdot a\right) \]

   7. Simplified 51.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(b \cdot y - y1 \cdot y2\right) \cdot a\right)} \]

   if 2.0000000000000001e-202 < y4 < 7.39999999999999997e-12

   1. Initial program 28.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 31.0%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 61.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in y3 around inf 59.7%

      \[\leadsto \color{blue}{a \cdot \left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 59.7%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(y1 \cdot z - y \cdot y5\right)\right) \cdot a} \]

      2. associate-*l* 62.2%

         \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   7. Simplified 62.2%

      \[\leadsto \color{blue}{y3 \cdot \left(\left(y1 \cdot z - y \cdot y5\right) \cdot a\right)} \]

   if 7.39999999999999997e-12 < y4 < 2.24999999999999996e86

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 50.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 50.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 50.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 50.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 50.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 50.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in x around inf 65.9%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 65.9%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 65.9%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   7. Simplified 65.9%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 2.24999999999999996e86 < y4 < 3.99999999999999978e119

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 62.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 63.6%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 63.6%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 63.6%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 63.6%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 63.6%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 63.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 51.4%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2\right)} \]

      2. *-commutative 51.4%

         \[\leadsto \color{blue}{\left(x \cdot c\right)} \cdot \left(y0 \cdot y2\right) \]

      3. associate-*l* 75.5%

         \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)} \]

   8. Simplified 75.5%

      \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)} \]

   if 3.99999999999999978e119 < y4 < 9.00000000000000071e205

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 60.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 60.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 60.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 60.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 60.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in y around inf 60.6%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)} \]

   if 9.00000000000000071e205 < y4 < 1.10000000000000004e243

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 50.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 83.5%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if 1.10000000000000004e243 < y4

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 64.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 64.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 64.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 64.3%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 64.3%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 64.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 85.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 85.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 85.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 56.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -1.7 \cdot 10^{-82}:\\ \;\;\;\;y2 \cdot \left(y4 \cdot \left(k \cdot y1 - t \cdot c\right)\right)\\ \mathbf{elif}\;y4 \leq -2 \cdot 10^{-222}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -4.3 \cdot 10^{-262}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 2 \cdot 10^{-202}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 7.4 \cdot 10^{-12}:\\ \;\;\;\;y3 \cdot \left(a \cdot \left(z \cdot y1 - y \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 2.25 \cdot 10^{+86}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 4 \cdot 10^{+119}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 9 \cdot 10^{+205}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.1 \cdot 10^{+243}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)\\ \end{array} \]

Alternative 19: 31.5% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y3 \cdot y5 - x \cdot b\\ t_2 := y2 \cdot \left(y0 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{if}\;j \leq -1.1 \cdot 10^{+137}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.2 \cdot 10^{-107}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-210}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq -1.35 \cdot 10^{-282}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;j \leq 1.62 \cdot 10^{-80}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 16800000000000:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 3.6 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(j \cdot t_1\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{+235}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot t_1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y3 y5) (* x b))) (t_2 (* y2 (* y0 (- (* x c) (* k y5))))))
   (if (<= j -1.1e+137)
     (* j (* t (- (* b y4) (* i y5))))
     (if (<= j -1.2e-107)
       t_2
       (if (<= j -2.4e-210)
         (* x (* a (- (* y b) (* y1 y2))))
         (if (<= j -1.35e-282)
           t_2
           (if (<= j 1.62e-80)
             (* c (* y0 (- (* x y2) (* z y3))))
             (if (<= j 16800000000000.0)
               (* t (* y2 (- (* a y5) (* c y4))))
               (if (<= j 3.6e+188)
                 (* y0 (* j t_1))
                 (if (<= j 5.5e+235)
                   (* b (* y4 (- (* t j) (* y k))))
                   (* j (* y0 t_1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y3 * y5) - (x * b);
	double t_2 = y2 * (y0 * ((x * c) - (k * y5)));
	double tmp;
	if (j <= -1.1e+137) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (j <= -1.2e-107) {
		tmp = t_2;
	} else if (j <= -2.4e-210) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (j <= -1.35e-282) {
		tmp = t_2;
	} else if (j <= 1.62e-80) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 16800000000000.0) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (j <= 3.6e+188) {
		tmp = y0 * (j * t_1);
	} else if (j <= 5.5e+235) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = j * (y0 * t_1);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (y3 * y5) - (x * b)
    t_2 = y2 * (y0 * ((x * c) - (k * y5)))
    if (j <= (-1.1d+137)) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (j <= (-1.2d-107)) then
        tmp = t_2
    else if (j <= (-2.4d-210)) then
        tmp = x * (a * ((y * b) - (y1 * y2)))
    else if (j <= (-1.35d-282)) then
        tmp = t_2
    else if (j <= 1.62d-80) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (j <= 16800000000000.0d0) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (j <= 3.6d+188) then
        tmp = y0 * (j * t_1)
    else if (j <= 5.5d+235) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else
        tmp = j * (y0 * t_1)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y3 * y5) - (x * b);
	double t_2 = y2 * (y0 * ((x * c) - (k * y5)));
	double tmp;
	if (j <= -1.1e+137) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (j <= -1.2e-107) {
		tmp = t_2;
	} else if (j <= -2.4e-210) {
		tmp = x * (a * ((y * b) - (y1 * y2)));
	} else if (j <= -1.35e-282) {
		tmp = t_2;
	} else if (j <= 1.62e-80) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (j <= 16800000000000.0) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (j <= 3.6e+188) {
		tmp = y0 * (j * t_1);
	} else if (j <= 5.5e+235) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = j * (y0 * t_1);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y3 * y5) - (x * b)
	t_2 = y2 * (y0 * ((x * c) - (k * y5)))
	tmp = 0
	if j <= -1.1e+137:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif j <= -1.2e-107:
		tmp = t_2
	elif j <= -2.4e-210:
		tmp = x * (a * ((y * b) - (y1 * y2)))
	elif j <= -1.35e-282:
		tmp = t_2
	elif j <= 1.62e-80:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif j <= 16800000000000.0:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif j <= 3.6e+188:
		tmp = y0 * (j * t_1)
	elif j <= 5.5e+235:
		tmp = b * (y4 * ((t * j) - (y * k)))
	else:
		tmp = j * (y0 * t_1)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y3 * y5) - Float64(x * b))
	t_2 = Float64(y2 * Float64(y0 * Float64(Float64(x * c) - Float64(k * y5))))
	tmp = 0.0
	if (j <= -1.1e+137)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (j <= -1.2e-107)
		tmp = t_2;
	elseif (j <= -2.4e-210)
		tmp = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (j <= -1.35e-282)
		tmp = t_2;
	elseif (j <= 1.62e-80)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (j <= 16800000000000.0)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (j <= 3.6e+188)
		tmp = Float64(y0 * Float64(j * t_1));
	elseif (j <= 5.5e+235)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = Float64(j * Float64(y0 * t_1));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y3 * y5) - (x * b);
	t_2 = y2 * (y0 * ((x * c) - (k * y5)));
	tmp = 0.0;
	if (j <= -1.1e+137)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (j <= -1.2e-107)
		tmp = t_2;
	elseif (j <= -2.4e-210)
		tmp = x * (a * ((y * b) - (y1 * y2)));
	elseif (j <= -1.35e-282)
		tmp = t_2;
	elseif (j <= 1.62e-80)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (j <= 16800000000000.0)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (j <= 3.6e+188)
		tmp = y0 * (j * t_1);
	elseif (j <= 5.5e+235)
		tmp = b * (y4 * ((t * j) - (y * k)));
	else
		tmp = j * (y0 * t_1);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(y0 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1.1e+137], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.2e-107], t$95$2, If[LessEqual[j, -2.4e-210], N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.35e-282], t$95$2, If[LessEqual[j, 1.62e-80], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 16800000000000.0], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 3.6e+188], N[(y0 * N[(j * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 5.5e+235], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if j < -1.10000000000000008e137

   1. Initial program 17.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 67.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 67.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 67.8%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 67.8%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 67.8%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 67.8%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 60.0%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if -1.10000000000000008e137 < j < -1.19999999999999997e-107 or -2.40000000000000004e-210 < j < -1.34999999999999991e-282

   1. Initial program 35.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 42.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 42.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 42.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 42.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 42.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 42.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 42.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 42.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in y2 around inf 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 39.7%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(c \cdot x - k \cdot y5\right)} \]

      2. *-commutative 39.7%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(c \cdot x - k \cdot y5\right) \]

      3. *-commutative 39.7%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x - \color{blue}{y5 \cdot k}\right) \]

      4. associate-*l* 46.6%

         \[\leadsto \color{blue}{y2 \cdot \left(y0 \cdot \left(c \cdot x - y5 \cdot k\right)\right)} \]

      5. *-commutative 46.6%

         \[\leadsto y2 \cdot \left(y0 \cdot \left(c \cdot x - \color{blue}{k \cdot y5}\right)\right) \]

   7. Simplified 46.6%

      \[\leadsto \color{blue}{y2 \cdot \left(y0 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if -1.19999999999999997e-107 < j < -2.40000000000000004e-210

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.6%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 43.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in x around inf 48.4%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 48.4%

         \[\leadsto \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot a} \]

      2. associate-*l* 44.4%

         \[\leadsto \color{blue}{x \cdot \left(\left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right) \cdot a\right)} \]

      3. +-commutative 44.4%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)} \cdot a\right) \]

      4. mul-1-neg 44.4%

         \[\leadsto x \cdot \left(\left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right) \cdot a\right) \]

      5. unsub-neg 44.4%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y - y1 \cdot y2\right)} \cdot a\right) \]

   7. Simplified 44.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(b \cdot y - y1 \cdot y2\right) \cdot a\right)} \]

   if -1.34999999999999991e-282 < j < 1.62e-80

   1. Initial program 28.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 37.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 37.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 37.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 37.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 37.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 37.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 37.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 37.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 37.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 40.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.62e-80 < j < 1.68e13

   1. Initial program 19.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 50.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 60.4%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 1.68e13 < j < 3.60000000000000021e188

   1. Initial program 26.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 55.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 57.8%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)} \]

      2. *-commutative 57.8%

         \[\leadsto \color{blue}{\left(y0 \cdot j\right)} \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right) \]

      3. associate-*l* 57.9%

         \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]

      4. +-commutative 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      5. mul-1-neg 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      6. unsub-neg 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      7. *-commutative 57.9%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 57.9%

      \[\leadsto \color{blue}{y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   if 3.60000000000000021e188 < j < 5.49999999999999945e235

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 42.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 42.1%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 42.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in b around inf 84.0%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 5.49999999999999945e235 < j

   1. Initial program 27.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 100.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 100.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 100.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y0 around -inf 82.4%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 82.4%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 82.4%

         \[\leadsto j \cdot \left(y0 \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 82.4%

         \[\leadsto j \cdot \left(y0 \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 82.4%

         \[\leadsto j \cdot \left(y0 \cdot \left(\color{blue}{y5 \cdot y3} - b \cdot x\right)\right) \]

      5. *-commutative 82.4%

         \[\leadsto j \cdot \left(y0 \cdot \left(y5 \cdot y3 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 82.4%

      \[\leadsto j \cdot \color{blue}{\left(y0 \cdot \left(y5 \cdot y3 - x \cdot b\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 53.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.1 \cdot 10^{+137}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -1.2 \cdot 10^{-107}:\\ \;\;\;\;y2 \cdot \left(y0 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -2.4 \cdot 10^{-210}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq -1.35 \cdot 10^{-282}:\\ \;\;\;\;y2 \cdot \left(y0 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 1.62 \cdot 10^{-80}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;j \leq 16800000000000:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 3.6 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;j \leq 5.5 \cdot 10^{+235}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \end{array} \]

Alternative 20: 32.2% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ t_2 := j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ t_3 := x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{if}\;k \leq -5.6 \cdot 10^{+112}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.05 \cdot 10^{-79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -2.3 \cdot 10^{-204}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 2.05 \cdot 10^{-292}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 4.2 \cdot 10^{-225}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq 4.8 \cdot 10^{-129}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 8 \cdot 10^{-15}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;k \leq 1.5 \cdot 10^{+80}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;\left(y2 \cdot y4 - z \cdot i\right) \cdot \left(k \cdot y1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y2 (- (* x y0) (* t y4)))))
        (t_2 (* j (* t (- (* b y4) (* i y5)))))
        (t_3 (* x (* a (- (* y b) (* y1 y2))))))
   (if (<= k -5.6e+112)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= k -1.05e-79)
       t_1
       (if (<= k -2.3e-204)
         t_3
         (if (<= k 2.05e-292)
           t_1
           (if (<= k 4.2e-225)
             t_2
             (if (<= k 4.8e-129)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= k 8e-15)
                 t_3
                 (if (<= k 1.5e+80)
                   t_2
                   (* (- (* y2 y4) (* z i)) (* k y1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y2 * ((x * y0) - (t * y4)));
	double t_2 = j * (t * ((b * y4) - (i * y5)));
	double t_3 = x * (a * ((y * b) - (y1 * y2)));
	double tmp;
	if (k <= -5.6e+112) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -1.05e-79) {
		tmp = t_1;
	} else if (k <= -2.3e-204) {
		tmp = t_3;
	} else if (k <= 2.05e-292) {
		tmp = t_1;
	} else if (k <= 4.2e-225) {
		tmp = t_2;
	} else if (k <= 4.8e-129) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= 8e-15) {
		tmp = t_3;
	} else if (k <= 1.5e+80) {
		tmp = t_2;
	} else {
		tmp = ((y2 * y4) - (z * i)) * (k * y1);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = c * (y2 * ((x * y0) - (t * y4)))
    t_2 = j * (t * ((b * y4) - (i * y5)))
    t_3 = x * (a * ((y * b) - (y1 * y2)))
    if (k <= (-5.6d+112)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (k <= (-1.05d-79)) then
        tmp = t_1
    else if (k <= (-2.3d-204)) then
        tmp = t_3
    else if (k <= 2.05d-292) then
        tmp = t_1
    else if (k <= 4.2d-225) then
        tmp = t_2
    else if (k <= 4.8d-129) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (k <= 8d-15) then
        tmp = t_3
    else if (k <= 1.5d+80) then
        tmp = t_2
    else
        tmp = ((y2 * y4) - (z * i)) * (k * y1)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y2 * ((x * y0) - (t * y4)));
	double t_2 = j * (t * ((b * y4) - (i * y5)));
	double t_3 = x * (a * ((y * b) - (y1 * y2)));
	double tmp;
	if (k <= -5.6e+112) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (k <= -1.05e-79) {
		tmp = t_1;
	} else if (k <= -2.3e-204) {
		tmp = t_3;
	} else if (k <= 2.05e-292) {
		tmp = t_1;
	} else if (k <= 4.2e-225) {
		tmp = t_2;
	} else if (k <= 4.8e-129) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= 8e-15) {
		tmp = t_3;
	} else if (k <= 1.5e+80) {
		tmp = t_2;
	} else {
		tmp = ((y2 * y4) - (z * i)) * (k * y1);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y2 * ((x * y0) - (t * y4)))
	t_2 = j * (t * ((b * y4) - (i * y5)))
	t_3 = x * (a * ((y * b) - (y1 * y2)))
	tmp = 0
	if k <= -5.6e+112:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif k <= -1.05e-79:
		tmp = t_1
	elif k <= -2.3e-204:
		tmp = t_3
	elif k <= 2.05e-292:
		tmp = t_1
	elif k <= 4.2e-225:
		tmp = t_2
	elif k <= 4.8e-129:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif k <= 8e-15:
		tmp = t_3
	elif k <= 1.5e+80:
		tmp = t_2
	else:
		tmp = ((y2 * y4) - (z * i)) * (k * y1)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))))
	t_2 = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))))
	t_3 = Float64(x * Float64(a * Float64(Float64(y * b) - Float64(y1 * y2))))
	tmp = 0.0
	if (k <= -5.6e+112)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (k <= -1.05e-79)
		tmp = t_1;
	elseif (k <= -2.3e-204)
		tmp = t_3;
	elseif (k <= 2.05e-292)
		tmp = t_1;
	elseif (k <= 4.2e-225)
		tmp = t_2;
	elseif (k <= 4.8e-129)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (k <= 8e-15)
		tmp = t_3;
	elseif (k <= 1.5e+80)
		tmp = t_2;
	else
		tmp = Float64(Float64(Float64(y2 * y4) - Float64(z * i)) * Float64(k * y1));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y2 * ((x * y0) - (t * y4)));
	t_2 = j * (t * ((b * y4) - (i * y5)));
	t_3 = x * (a * ((y * b) - (y1 * y2)));
	tmp = 0.0;
	if (k <= -5.6e+112)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (k <= -1.05e-79)
		tmp = t_1;
	elseif (k <= -2.3e-204)
		tmp = t_3;
	elseif (k <= 2.05e-292)
		tmp = t_1;
	elseif (k <= 4.2e-225)
		tmp = t_2;
	elseif (k <= 4.8e-129)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (k <= 8e-15)
		tmp = t_3;
	elseif (k <= 1.5e+80)
		tmp = t_2;
	else
		tmp = ((y2 * y4) - (z * i)) * (k * y1);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(x * N[(a * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -5.6e+112], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.05e-79], t$95$1, If[LessEqual[k, -2.3e-204], t$95$3, If[LessEqual[k, 2.05e-292], t$95$1, If[LessEqual[k, 4.2e-225], t$95$2, If[LessEqual[k, 4.8e-129], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 8e-15], t$95$3, If[LessEqual[k, 1.5e+80], t$95$2, N[(N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision] * N[(k * y1), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if k < -5.6000000000000003e112

   1. Initial program 36.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 63.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 63.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 63.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 63.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 63.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 63.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in i around -inf 64.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z - y \cdot y5\right)\right)\right)} \]

   if -5.6000000000000003e112 < k < -1.05e-79 or -2.2999999999999999e-204 < k < 2.05000000000000022e-292

   1. Initial program 29.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 46.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 48.3%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if -1.05e-79 < k < -2.2999999999999999e-204 or 4.79999999999999977e-129 < k < 8.0000000000000006e-15

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   3. Simplified 28.5%

      \[\leadsto \color{blue}{\left(\left(\mathsf{fma}\left(x, y, t \cdot \left(-z\right)\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(\left(x \cdot y2 - z \cdot y3\right) \cdot \mathsf{fma}\left(c, y0, y1 \cdot \left(-a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \mathsf{fma}\left(b, y4, -i \cdot y5\right)\right)\right) - \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right) - \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   4. Taylor expanded in a around inf 47.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(-1 \cdot \left(t \cdot z\right) + x \cdot y\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   5. Taylor expanded in x around inf 48.1%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 48.1%

         \[\leadsto \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right) \cdot a} \]

      2. associate-*l* 48.4%

         \[\leadsto \color{blue}{x \cdot \left(\left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right) \cdot a\right)} \]

      3. +-commutative 48.4%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)} \cdot a\right) \]

      4. mul-1-neg 48.4%

         \[\leadsto x \cdot \left(\left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right) \cdot a\right) \]

      5. unsub-neg 48.4%

         \[\leadsto x \cdot \left(\color{blue}{\left(b \cdot y - y1 \cdot y2\right)} \cdot a\right) \]

   7. Simplified 48.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(b \cdot y - y1 \cdot y2\right) \cdot a\right)} \]

   if 2.05000000000000022e-292 < k < 4.20000000000000001e-225 or 8.0000000000000006e-15 < k < 1.49999999999999993e80

   1. Initial program 17.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 60.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 60.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 60.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 60.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 60.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 55.5%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 4.20000000000000001e-225 < k < 4.79999999999999977e-129

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 47.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 47.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 47.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 47.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 60.6%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.49999999999999993e80 < k

   1. Initial program 19.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 59.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 59.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 59.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 59.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 59.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 59.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in y1 around inf 53.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(-1 \cdot \left(i \cdot z\right) + y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 55.5%

         \[\leadsto \color{blue}{\left(k \cdot y1\right) \cdot \left(-1 \cdot \left(i \cdot z\right) + y2 \cdot y4\right)} \]

      2. *-commutative 55.5%

         \[\leadsto \color{blue}{\left(y1 \cdot k\right)} \cdot \left(-1 \cdot \left(i \cdot z\right) + y2 \cdot y4\right) \]

      3. +-commutative 55.5%

         \[\leadsto \left(y1 \cdot k\right) \cdot \color{blue}{\left(y2 \cdot y4 + -1 \cdot \left(i \cdot z\right)\right)} \]

      4. mul-1-neg 55.5%

         \[\leadsto \left(y1 \cdot k\right) \cdot \left(y2 \cdot y4 + \color{blue}{\left(-i \cdot z\right)}\right) \]

      5. unsub-neg 55.5%

         \[\leadsto \left(y1 \cdot k\right) \cdot \color{blue}{\left(y2 \cdot y4 - i \cdot z\right)} \]

   7. Simplified 55.5%

      \[\leadsto \color{blue}{\left(y1 \cdot k\right) \cdot \left(y2 \cdot y4 - i \cdot z\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 53.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -5.6 \cdot 10^{+112}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -1.05 \cdot 10^{-79}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -2.3 \cdot 10^{-204}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.05 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 4.2 \cdot 10^{-225}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 4.8 \cdot 10^{-129}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 8 \cdot 10^{-15}:\\ \;\;\;\;x \cdot \left(a \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.5 \cdot 10^{+80}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y2 \cdot y4 - z \cdot i\right) \cdot \left(k \cdot y1\right)\\ \end{array} \]

Alternative 21: 28.4% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{if}\;k \leq -2.75 \cdot 10^{+110}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 3.25 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 2.2 \cdot 10^{-226}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 3.1 \cdot 10^{-15}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{+117}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 7.2 \cdot 10^{+247}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(k \cdot y5\right) \cdot \left(y2 \cdot \left(-y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* t (- (* b y4) (* i y5))))))
   (if (<= k -2.75e+110)
     (* y0 (* b (* z k)))
     (if (<= k 3.25e-292)
       (* c (* y2 (- (* x y0) (* t y4))))
       (if (<= k 2.2e-226)
         t_1
         (if (<= k 3.1e-15)
           (* c (* y0 (- (* x y2) (* z y3))))
           (if (<= k 1.05e+117)
             t_1
             (if (<= k 7.2e+247)
               (* j (* x (- (* i y1) (* b y0))))
               (* (* k y5) (* y2 (- y0)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (t * ((b * y4) - (i * y5)));
	double tmp;
	if (k <= -2.75e+110) {
		tmp = y0 * (b * (z * k));
	} else if (k <= 3.25e-292) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= 2.2e-226) {
		tmp = t_1;
	} else if (k <= 3.1e-15) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= 1.05e+117) {
		tmp = t_1;
	} else if (k <= 7.2e+247) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = (k * y5) * (y2 * -y0);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = j * (t * ((b * y4) - (i * y5)))
    if (k <= (-2.75d+110)) then
        tmp = y0 * (b * (z * k))
    else if (k <= 3.25d-292) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (k <= 2.2d-226) then
        tmp = t_1
    else if (k <= 3.1d-15) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (k <= 1.05d+117) then
        tmp = t_1
    else if (k <= 7.2d+247) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else
        tmp = (k * y5) * (y2 * -y0)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (t * ((b * y4) - (i * y5)));
	double tmp;
	if (k <= -2.75e+110) {
		tmp = y0 * (b * (z * k));
	} else if (k <= 3.25e-292) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= 2.2e-226) {
		tmp = t_1;
	} else if (k <= 3.1e-15) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= 1.05e+117) {
		tmp = t_1;
	} else if (k <= 7.2e+247) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = (k * y5) * (y2 * -y0);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (t * ((b * y4) - (i * y5)))
	tmp = 0
	if k <= -2.75e+110:
		tmp = y0 * (b * (z * k))
	elif k <= 3.25e-292:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif k <= 2.2e-226:
		tmp = t_1
	elif k <= 3.1e-15:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif k <= 1.05e+117:
		tmp = t_1
	elif k <= 7.2e+247:
		tmp = j * (x * ((i * y1) - (b * y0)))
	else:
		tmp = (k * y5) * (y2 * -y0)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))))
	tmp = 0.0
	if (k <= -2.75e+110)
		tmp = Float64(y0 * Float64(b * Float64(z * k)));
	elseif (k <= 3.25e-292)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (k <= 2.2e-226)
		tmp = t_1;
	elseif (k <= 3.1e-15)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (k <= 1.05e+117)
		tmp = t_1;
	elseif (k <= 7.2e+247)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = Float64(Float64(k * y5) * Float64(y2 * Float64(-y0)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (t * ((b * y4) - (i * y5)));
	tmp = 0.0;
	if (k <= -2.75e+110)
		tmp = y0 * (b * (z * k));
	elseif (k <= 3.25e-292)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (k <= 2.2e-226)
		tmp = t_1;
	elseif (k <= 3.1e-15)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (k <= 1.05e+117)
		tmp = t_1;
	elseif (k <= 7.2e+247)
		tmp = j * (x * ((i * y1) - (b * y0)));
	else
		tmp = (k * y5) * (y2 * -y0);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -2.75e+110], N[(y0 * N[(b * N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 3.25e-292], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.2e-226], t$95$1, If[LessEqual[k, 3.1e-15], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.05e+117], t$95$1, If[LessEqual[k, 7.2e+247], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(k * y5), $MachinePrecision] * N[(y2 * (-y0)), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if k < -2.74999999999999998e110

   1. Initial program 37.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 65.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 65.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 65.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 65.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 65.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 65.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in b around inf 44.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z - y \cdot y4\right)\right)} \]

   6. Taylor expanded in y0 around inf 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 33.7%

         \[\leadsto b \cdot \left(k \cdot \color{blue}{\left(z \cdot y0\right)}\right) \]

   8. Simplified 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(z \cdot y0\right)\right)} \]

   9. Taylor expanded in b around 0 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 33.6%

          \[\leadsto \color{blue}{\left(b \cdot k\right) \cdot \left(y0 \cdot z\right)} \]

       2. *-commutative 33.6%

          \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(b \cdot k\right)} \]

       3. associate-*l* 42.5%

          \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(b \cdot k\right)\right)} \]

       4. *-commutative 42.5%

          \[\leadsto y0 \cdot \left(z \cdot \color{blue}{\left(k \cdot b\right)}\right) \]

       5. associate-*l* 47.0%

          \[\leadsto y0 \cdot \color{blue}{\left(\left(z \cdot k\right) \cdot b\right)} \]

       6. *-commutative 47.0%

          \[\leadsto y0 \cdot \color{blue}{\left(b \cdot \left(z \cdot k\right)\right)} \]

   11. Simplified 47.0%

       \[\leadsto \color{blue}{y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)} \]

   if -2.74999999999999998e110 < k < 3.2499999999999998e-292

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 47.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 42.9%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if 3.2499999999999998e-292 < k < 2.2e-226 or 3.0999999999999999e-15 < k < 1.0500000000000001e117

   1. Initial program 20.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 58.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 58.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 58.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 58.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 58.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 58.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 56.7%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 2.2e-226 < k < 3.0999999999999999e-15

   1. Initial program 23.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 29.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 29.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 29.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 29.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 43.0%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.0500000000000001e117 < k < 7.2e247

   1. Initial program 14.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 45.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 45.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 45.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 45.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 45.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 45.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in x around inf 46.5%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 46.5%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 46.5%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   7. Simplified 46.5%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 7.2e247 < k

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 50.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 80.0%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 61.1%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 61.1%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 61.1%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 61.1%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 61.1%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 61.1%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 61.1%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 61.1%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around 0 51.3%

      \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 51.3%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(-k \cdot y5\right)} \]

      2. distribute-rgt-neg-in 51.3%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)} \]

   8. Simplified 51.3%

      \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(k \cdot \left(-y5\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 46.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -2.75 \cdot 10^{+110}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 3.25 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 2.2 \cdot 10^{-226}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 3.1 \cdot 10^{-15}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{+117}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 7.2 \cdot 10^{+247}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(k \cdot y5\right) \cdot \left(y2 \cdot \left(-y0\right)\right)\\ \end{array} \]

Alternative 22: 29.8% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{if}\;k \leq -8 \cdot 10^{+109}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 2.4 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 2.8 \cdot 10^{-226}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.3 \cdot 10^{-15}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{+119}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{+167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* t (- (* b y4) (* i y5))))))
   (if (<= k -8e+109)
     (* y0 (* b (* z k)))
     (if (<= k 2.4e-292)
       (* c (* y2 (- (* x y0) (* t y4))))
       (if (<= k 2.8e-226)
         t_1
         (if (<= k 1.3e-15)
           (* c (* y0 (- (* x y2) (* z y3))))
           (if (<= k 1.15e+119)
             t_1
             (if (<= k 1.15e+167)
               (* j (* x (- (* i y1) (* b y0))))
               (* k (* y (- (* i y5) (* b y4))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (t * ((b * y4) - (i * y5)));
	double tmp;
	if (k <= -8e+109) {
		tmp = y0 * (b * (z * k));
	} else if (k <= 2.4e-292) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= 2.8e-226) {
		tmp = t_1;
	} else if (k <= 1.3e-15) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= 1.15e+119) {
		tmp = t_1;
	} else if (k <= 1.15e+167) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = k * (y * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = j * (t * ((b * y4) - (i * y5)))
    if (k <= (-8d+109)) then
        tmp = y0 * (b * (z * k))
    else if (k <= 2.4d-292) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (k <= 2.8d-226) then
        tmp = t_1
    else if (k <= 1.3d-15) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (k <= 1.15d+119) then
        tmp = t_1
    else if (k <= 1.15d+167) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else
        tmp = k * (y * ((i * y5) - (b * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (t * ((b * y4) - (i * y5)));
	double tmp;
	if (k <= -8e+109) {
		tmp = y0 * (b * (z * k));
	} else if (k <= 2.4e-292) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= 2.8e-226) {
		tmp = t_1;
	} else if (k <= 1.3e-15) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= 1.15e+119) {
		tmp = t_1;
	} else if (k <= 1.15e+167) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else {
		tmp = k * (y * ((i * y5) - (b * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (t * ((b * y4) - (i * y5)))
	tmp = 0
	if k <= -8e+109:
		tmp = y0 * (b * (z * k))
	elif k <= 2.4e-292:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif k <= 2.8e-226:
		tmp = t_1
	elif k <= 1.3e-15:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif k <= 1.15e+119:
		tmp = t_1
	elif k <= 1.15e+167:
		tmp = j * (x * ((i * y1) - (b * y0)))
	else:
		tmp = k * (y * ((i * y5) - (b * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))))
	tmp = 0.0
	if (k <= -8e+109)
		tmp = Float64(y0 * Float64(b * Float64(z * k)));
	elseif (k <= 2.4e-292)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (k <= 2.8e-226)
		tmp = t_1;
	elseif (k <= 1.3e-15)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (k <= 1.15e+119)
		tmp = t_1;
	elseif (k <= 1.15e+167)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	else
		tmp = Float64(k * Float64(y * Float64(Float64(i * y5) - Float64(b * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (t * ((b * y4) - (i * y5)));
	tmp = 0.0;
	if (k <= -8e+109)
		tmp = y0 * (b * (z * k));
	elseif (k <= 2.4e-292)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (k <= 2.8e-226)
		tmp = t_1;
	elseif (k <= 1.3e-15)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (k <= 1.15e+119)
		tmp = t_1;
	elseif (k <= 1.15e+167)
		tmp = j * (x * ((i * y1) - (b * y0)));
	else
		tmp = k * (y * ((i * y5) - (b * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -8e+109], N[(y0 * N[(b * N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.4e-292], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.8e-226], t$95$1, If[LessEqual[k, 1.3e-15], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.15e+119], t$95$1, If[LessEqual[k, 1.15e+167], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if k < -7.99999999999999985e109

   1. Initial program 37.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 65.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 65.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 65.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 65.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 65.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 65.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in b around inf 44.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z - y \cdot y4\right)\right)} \]

   6. Taylor expanded in y0 around inf 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 33.7%

         \[\leadsto b \cdot \left(k \cdot \color{blue}{\left(z \cdot y0\right)}\right) \]

   8. Simplified 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(z \cdot y0\right)\right)} \]

   9. Taylor expanded in b around 0 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 33.6%

          \[\leadsto \color{blue}{\left(b \cdot k\right) \cdot \left(y0 \cdot z\right)} \]

       2. *-commutative 33.6%

          \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(b \cdot k\right)} \]

       3. associate-*l* 42.5%

          \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(b \cdot k\right)\right)} \]

       4. *-commutative 42.5%

          \[\leadsto y0 \cdot \left(z \cdot \color{blue}{\left(k \cdot b\right)}\right) \]

       5. associate-*l* 47.0%

          \[\leadsto y0 \cdot \color{blue}{\left(\left(z \cdot k\right) \cdot b\right)} \]

       6. *-commutative 47.0%

          \[\leadsto y0 \cdot \color{blue}{\left(b \cdot \left(z \cdot k\right)\right)} \]

   11. Simplified 47.0%

       \[\leadsto \color{blue}{y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)} \]

   if -7.99999999999999985e109 < k < 2.4000000000000001e-292

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 47.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 42.9%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if 2.4000000000000001e-292 < k < 2.80000000000000008e-226 or 1.30000000000000002e-15 < k < 1.15e119

   1. Initial program 20.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 58.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 58.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 58.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 58.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 58.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 58.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 56.7%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 2.80000000000000008e-226 < k < 1.30000000000000002e-15

   1. Initial program 23.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 29.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 29.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 29.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 29.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 43.0%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.15e119 < k < 1.14999999999999994e167

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 63.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 63.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 63.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 63.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 63.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 63.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in x around inf 55.1%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 55.1%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 55.1%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   7. Simplified 55.1%

      \[\leadsto j \cdot \color{blue}{\left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if 1.14999999999999994e167 < k

   1. Initial program 14.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 67.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 67.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 67.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 67.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 67.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 67.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in y around inf 48.7%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 47.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -8 \cdot 10^{+109}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 2.4 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 2.8 \cdot 10^{-226}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.3 \cdot 10^{-15}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{+119}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{+167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \end{array} \]

Alternative 23: 27.2% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -2.15 \cdot 10^{+71}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -600000000:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -2.9 \cdot 10^{-83}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -3.05 \cdot 10^{-173}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 2.4 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -2.15e+71)
   (* x (* c (* y0 y2)))
   (if (<= y2 -600000000.0)
     (* i (* j (* x y1)))
     (if (<= y2 -2.9e-83)
       (* b (* k (- (* z y0) (* y y4))))
       (if (<= y2 -3.05e-173)
         (* j (* y0 (* y3 y5)))
         (if (<= y2 2.4e+47)
           (* b (* y4 (- (* t j) (* y k))))
           (* c (* x (* y0 y2)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -2.15e+71) {
		tmp = x * (c * (y0 * y2));
	} else if (y2 <= -600000000.0) {
		tmp = i * (j * (x * y1));
	} else if (y2 <= -2.9e-83) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (y2 <= -3.05e-173) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y2 <= 2.4e+47) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-2.15d+71)) then
        tmp = x * (c * (y0 * y2))
    else if (y2 <= (-600000000.0d0)) then
        tmp = i * (j * (x * y1))
    else if (y2 <= (-2.9d-83)) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (y2 <= (-3.05d-173)) then
        tmp = j * (y0 * (y3 * y5))
    else if (y2 <= 2.4d+47) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else
        tmp = c * (x * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -2.15e+71) {
		tmp = x * (c * (y0 * y2));
	} else if (y2 <= -600000000.0) {
		tmp = i * (j * (x * y1));
	} else if (y2 <= -2.9e-83) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (y2 <= -3.05e-173) {
		tmp = j * (y0 * (y3 * y5));
	} else if (y2 <= 2.4e+47) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -2.15e+71:
		tmp = x * (c * (y0 * y2))
	elif y2 <= -600000000.0:
		tmp = i * (j * (x * y1))
	elif y2 <= -2.9e-83:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif y2 <= -3.05e-173:
		tmp = j * (y0 * (y3 * y5))
	elif y2 <= 2.4e+47:
		tmp = b * (y4 * ((t * j) - (y * k)))
	else:
		tmp = c * (x * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -2.15e+71)
		tmp = Float64(x * Float64(c * Float64(y0 * y2)));
	elseif (y2 <= -600000000.0)
		tmp = Float64(i * Float64(j * Float64(x * y1)));
	elseif (y2 <= -2.9e-83)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (y2 <= -3.05e-173)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (y2 <= 2.4e+47)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -2.15e+71)
		tmp = x * (c * (y0 * y2));
	elseif (y2 <= -600000000.0)
		tmp = i * (j * (x * y1));
	elseif (y2 <= -2.9e-83)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (y2 <= -3.05e-173)
		tmp = j * (y0 * (y3 * y5));
	elseif (y2 <= 2.4e+47)
		tmp = b * (y4 * ((t * j) - (y * k)));
	else
		tmp = c * (x * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -2.15e+71], N[(x * N[(c * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -600000000.0], N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.9e-83], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.05e-173], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.4e+47], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y2 < -2.14999999999999992e71

   1. Initial program 17.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 64.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 47.5%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 40.0%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 40.0%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 40.0%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 40.0%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 40.0%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 40.0%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 40.0%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 40.0%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 40.2%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 38.3%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2\right)} \]

      2. *-commutative 38.3%

         \[\leadsto \color{blue}{\left(x \cdot c\right)} \cdot \left(y0 \cdot y2\right) \]

      3. associate-*l* 43.9%

         \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)} \]

   8. Simplified 43.9%

      \[\leadsto \color{blue}{x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)} \]

   if -2.14999999999999992e71 < y2 < -6e8

   1. Initial program 49.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 50.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 50.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 50.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 50.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 50.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 50.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y1 around -inf 45.9%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 45.9%

         \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)} \]

      2. +-commutative 45.9%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x + -1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. mul-1-neg 45.9%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(i \cdot x + \color{blue}{\left(-y3 \cdot y4\right)}\right) \]

      4. unsub-neg 45.9%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x - y3 \cdot y4\right)} \]

      5. *-commutative 45.9%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

      6. *-commutative 45.9%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(x \cdot i - \color{blue}{y4 \cdot y3}\right) \]

   7. Simplified 45.9%

      \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(x \cdot i - y4 \cdot y3\right)} \]

   8. Taylor expanded in x around inf 51.0%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 51.0%

         \[\leadsto i \cdot \color{blue}{\left(\left(x \cdot y1\right) \cdot j\right)} \]

      2. *-commutative 51.0%

         \[\leadsto i \cdot \left(\color{blue}{\left(y1 \cdot x\right)} \cdot j\right) \]

   10. Simplified 51.0%

       \[\leadsto \color{blue}{i \cdot \left(\left(y1 \cdot x\right) \cdot j\right)} \]

   if -6e8 < y2 < -2.8999999999999999e-83

   1. Initial program 42.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 57.3%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 57.3%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 57.3%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 57.3%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 57.3%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 57.3%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in b around inf 50.4%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z - y \cdot y4\right)\right)} \]

   if -2.8999999999999999e-83 < y2 < -3.0499999999999999e-173

   1. Initial program 24.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 57.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 57.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 57.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 57.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 57.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 57.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y3 around -inf 39.2%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 39.2%

         \[\leadsto \color{blue}{-j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

      2. associate-*r* 34.9%

         \[\leadsto -\color{blue}{\left(j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

      3. distribute-lft-neg-in 34.9%

         \[\leadsto \color{blue}{\left(-j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

      4. *-commutative 34.9%

         \[\leadsto \left(-\color{blue}{y3 \cdot j}\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \]

      5. distribute-rgt-neg-in 34.9%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(-j\right)\right)} \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \]

   7. Simplified 34.9%

      \[\leadsto \color{blue}{\left(y3 \cdot \left(-j\right)\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

   8. Taylor expanded in y1 around 0 44.1%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 44.1%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

   10. Simplified 44.1%

       \[\leadsto \color{blue}{j \cdot \left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

   if -3.0499999999999999e-173 < y2 < 2.40000000000000019e47

   1. Initial program 29.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 36.9%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 36.9%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 36.9%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in b around inf 32.7%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 2.40000000000000019e47 < y2

   1. Initial program 16.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 47.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 43.4%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 41.4%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 41.4%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 41.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 41.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 41.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 41.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 41.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 41.4%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 47.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 40.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.15 \cdot 10^{+71}:\\ \;\;\;\;x \cdot \left(c \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -600000000:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -2.9 \cdot 10^{-83}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -3.05 \cdot 10^{-173}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 2.4 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 24: 19.1% accurate, 4.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ t_2 := j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{if}\;y3 \leq -3.4 \cdot 10^{+261}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y3 \leq -5.7 \cdot 10^{+174}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y3 \leq 3.7 \cdot 10^{-232}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y3 \leq 1.85 \cdot 10^{+193}:\\ \;\;\;\;\left(b \cdot y4\right) \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;y3 \leq 1.25 \cdot 10^{+211}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 1.6 \cdot 10^{+254}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (* y0 y2)))) (t_2 (* j (* y4 (* y1 (- y3))))))
   (if (<= y3 -3.4e+261)
     t_1
     (if (<= y3 -5.7e+174)
       t_2
       (if (<= y3 3.7e-232)
         t_1
         (if (<= y3 1.85e+193)
           (* (* b y4) (* t j))
           (if (<= y3 1.25e+211)
             (* y0 (* y3 (* j y5)))
             (if (<= y3 1.6e+254) (* j (* b (* t y4))) t_2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double t_2 = j * (y4 * (y1 * -y3));
	double tmp;
	if (y3 <= -3.4e+261) {
		tmp = t_1;
	} else if (y3 <= -5.7e+174) {
		tmp = t_2;
	} else if (y3 <= 3.7e-232) {
		tmp = t_1;
	} else if (y3 <= 1.85e+193) {
		tmp = (b * y4) * (t * j);
	} else if (y3 <= 1.25e+211) {
		tmp = y0 * (y3 * (j * y5));
	} else if (y3 <= 1.6e+254) {
		tmp = j * (b * (t * y4));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = c * (x * (y0 * y2))
    t_2 = j * (y4 * (y1 * -y3))
    if (y3 <= (-3.4d+261)) then
        tmp = t_1
    else if (y3 <= (-5.7d+174)) then
        tmp = t_2
    else if (y3 <= 3.7d-232) then
        tmp = t_1
    else if (y3 <= 1.85d+193) then
        tmp = (b * y4) * (t * j)
    else if (y3 <= 1.25d+211) then
        tmp = y0 * (y3 * (j * y5))
    else if (y3 <= 1.6d+254) then
        tmp = j * (b * (t * y4))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double t_2 = j * (y4 * (y1 * -y3));
	double tmp;
	if (y3 <= -3.4e+261) {
		tmp = t_1;
	} else if (y3 <= -5.7e+174) {
		tmp = t_2;
	} else if (y3 <= 3.7e-232) {
		tmp = t_1;
	} else if (y3 <= 1.85e+193) {
		tmp = (b * y4) * (t * j);
	} else if (y3 <= 1.25e+211) {
		tmp = y0 * (y3 * (j * y5));
	} else if (y3 <= 1.6e+254) {
		tmp = j * (b * (t * y4));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (x * (y0 * y2))
	t_2 = j * (y4 * (y1 * -y3))
	tmp = 0
	if y3 <= -3.4e+261:
		tmp = t_1
	elif y3 <= -5.7e+174:
		tmp = t_2
	elif y3 <= 3.7e-232:
		tmp = t_1
	elif y3 <= 1.85e+193:
		tmp = (b * y4) * (t * j)
	elif y3 <= 1.25e+211:
		tmp = y0 * (y3 * (j * y5))
	elif y3 <= 1.6e+254:
		tmp = j * (b * (t * y4))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(x * Float64(y0 * y2)))
	t_2 = Float64(j * Float64(y4 * Float64(y1 * Float64(-y3))))
	tmp = 0.0
	if (y3 <= -3.4e+261)
		tmp = t_1;
	elseif (y3 <= -5.7e+174)
		tmp = t_2;
	elseif (y3 <= 3.7e-232)
		tmp = t_1;
	elseif (y3 <= 1.85e+193)
		tmp = Float64(Float64(b * y4) * Float64(t * j));
	elseif (y3 <= 1.25e+211)
		tmp = Float64(y0 * Float64(y3 * Float64(j * y5)));
	elseif (y3 <= 1.6e+254)
		tmp = Float64(j * Float64(b * Float64(t * y4)));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (x * (y0 * y2));
	t_2 = j * (y4 * (y1 * -y3));
	tmp = 0.0;
	if (y3 <= -3.4e+261)
		tmp = t_1;
	elseif (y3 <= -5.7e+174)
		tmp = t_2;
	elseif (y3 <= 3.7e-232)
		tmp = t_1;
	elseif (y3 <= 1.85e+193)
		tmp = (b * y4) * (t * j);
	elseif (y3 <= 1.25e+211)
		tmp = y0 * (y3 * (j * y5));
	elseif (y3 <= 1.6e+254)
		tmp = j * (b * (t * y4));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(y4 * N[(y1 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -3.4e+261], t$95$1, If[LessEqual[y3, -5.7e+174], t$95$2, If[LessEqual[y3, 3.7e-232], t$95$1, If[LessEqual[y3, 1.85e+193], N[(N[(b * y4), $MachinePrecision] * N[(t * j), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.25e+211], N[(y0 * N[(y3 * N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.6e+254], N[(j * N[(b * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y3 < -3.4e261 or -5.6999999999999999e174 < y3 < 3.69999999999999979e-232

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 38.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 36.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 33.9%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 33.9%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 33.9%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 33.9%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 33.9%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 33.9%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 33.9%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 33.9%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 32.4%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if -3.4e261 < y3 < -5.6999999999999999e174 or 1.5999999999999999e254 < y3

   1. Initial program 17.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 46.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 46.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 46.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 46.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 46.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 54.0%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 54.0%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 54.0%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around 0 49.5%

      \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(y1 \cdot y3\right)\right)}\right) \]
   9. Step-by-step derivation

      1. neg-mul-1 49.5%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(-y1 \cdot y3\right)}\right) \]

      2. distribute-rgt-neg-in 49.5%

         \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y1 \cdot \left(-y3\right)\right)}\right) \]

   10. Simplified 49.5%

       \[\leadsto j \cdot \left(y4 \cdot \color{blue}{\left(y1 \cdot \left(-y3\right)\right)}\right) \]

   if 3.69999999999999979e-232 < y3 < 1.8500000000000001e193

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 40.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 40.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 40.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 40.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 40.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 40.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 39.4%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   6. Taylor expanded in b around inf 35.7%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 35.7%

         \[\leadsto \color{blue}{\left(j \cdot \left(t \cdot y4\right)\right) \cdot b} \]

      2. associate-*r* 35.6%

         \[\leadsto \color{blue}{\left(\left(j \cdot t\right) \cdot y4\right)} \cdot b \]

      3. associate-*l* 39.3%

         \[\leadsto \color{blue}{\left(j \cdot t\right) \cdot \left(y4 \cdot b\right)} \]

      4. *-commutative 39.3%

         \[\leadsto \left(j \cdot t\right) \cdot \color{blue}{\left(b \cdot y4\right)} \]

   8. Simplified 39.3%

      \[\leadsto \color{blue}{\left(j \cdot t\right) \cdot \left(b \cdot y4\right)} \]

   if 1.8500000000000001e193 < y3 < 1.2499999999999999e211

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 12.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 12.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 12.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 12.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 12.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 12.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y3 around -inf 12.5%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 12.5%

         \[\leadsto \color{blue}{-j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

      2. associate-*r* 12.5%

         \[\leadsto -\color{blue}{\left(j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

      3. distribute-lft-neg-in 12.5%

         \[\leadsto \color{blue}{\left(-j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

      4. *-commutative 12.5%

         \[\leadsto \left(-\color{blue}{y3 \cdot j}\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \]

      5. distribute-rgt-neg-in 12.5%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(-j\right)\right)} \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \]

   7. Simplified 12.5%

      \[\leadsto \color{blue}{\left(y3 \cdot \left(-j\right)\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

   8. Taylor expanded in y1 around 0 45.9%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 45.9%

         \[\leadsto \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

      2. *-commutative 45.9%

         \[\leadsto \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \cdot j \]

      3. associate-*l* 45.8%

         \[\leadsto \color{blue}{\left(y3 \cdot y5\right) \cdot \left(y0 \cdot j\right)} \]

   10. Simplified 45.8%

       \[\leadsto \color{blue}{\left(y3 \cdot y5\right) \cdot \left(y0 \cdot j\right)} \]

   11. Taylor expanded in y3 around 0 45.9%

       \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   12. Step-by-step derivation

       1. *-commutative 45.9%

          \[\leadsto \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

       2. associate-*l* 56.5%

          \[\leadsto \color{blue}{y0 \cdot \left(\left(y3 \cdot y5\right) \cdot j\right)} \]

       3. associate-*l* 56.5%

          \[\leadsto y0 \cdot \color{blue}{\left(y3 \cdot \left(y5 \cdot j\right)\right)} \]

       4. *-commutative 56.5%

          \[\leadsto y0 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y5\right)}\right) \]

   13. Simplified 56.5%

       \[\leadsto \color{blue}{y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)} \]

   if 1.2499999999999999e211 < y3 < 1.5999999999999999e254

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 36.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 36.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 36.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 36.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 36.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 36.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 27.6%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 27.6%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 27.6%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 46.1%

      \[\leadsto j \cdot \color{blue}{\left(b \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 38.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -3.4 \cdot 10^{+261}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -5.7 \cdot 10^{+174}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 3.7 \cdot 10^{-232}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.85 \cdot 10^{+193}:\\ \;\;\;\;\left(b \cdot y4\right) \cdot \left(t \cdot j\right)\\ \mathbf{elif}\;y3 \leq 1.25 \cdot 10^{+211}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 1.6 \cdot 10^{+254}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y4 \cdot \left(y1 \cdot \left(-y3\right)\right)\right)\\ \end{array} \]

Alternative 25: 28.0% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;k \leq -1.05 \cdot 10^{+110}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.62 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 7.2 \cdot 10^{-224} \lor \neg \left(k \leq 8 \cdot 10^{-16}\right):\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= k -1.05e+110)
   (* y0 (* b (* z k)))
   (if (<= k 1.62e-292)
     (* c (* y2 (- (* x y0) (* t y4))))
     (if (or (<= k 7.2e-224) (not (<= k 8e-16)))
       (* j (* t (- (* b y4) (* i y5))))
       (* c (* y0 (- (* x y2) (* z y3))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (k <= -1.05e+110) {
		tmp = y0 * (b * (z * k));
	} else if (k <= 1.62e-292) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if ((k <= 7.2e-224) || !(k <= 8e-16)) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (k <= (-1.05d+110)) then
        tmp = y0 * (b * (z * k))
    else if (k <= 1.62d-292) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if ((k <= 7.2d-224) .or. (.not. (k <= 8d-16))) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (k <= -1.05e+110) {
		tmp = y0 * (b * (z * k));
	} else if (k <= 1.62e-292) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if ((k <= 7.2e-224) || !(k <= 8e-16)) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if k <= -1.05e+110:
		tmp = y0 * (b * (z * k))
	elif k <= 1.62e-292:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif (k <= 7.2e-224) or not (k <= 8e-16):
		tmp = j * (t * ((b * y4) - (i * y5)))
	else:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (k <= -1.05e+110)
		tmp = Float64(y0 * Float64(b * Float64(z * k)));
	elseif (k <= 1.62e-292)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif ((k <= 7.2e-224) || !(k <= 8e-16))
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	else
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (k <= -1.05e+110)
		tmp = y0 * (b * (z * k));
	elseif (k <= 1.62e-292)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif ((k <= 7.2e-224) || ~((k <= 8e-16)))
		tmp = j * (t * ((b * y4) - (i * y5)));
	else
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[k, -1.05e+110], N[(y0 * N[(b * N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.62e-292], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[k, 7.2e-224], N[Not[LessEqual[k, 8e-16]], $MachinePrecision]], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if k < -1.05000000000000007e110

   1. Initial program 37.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 65.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 65.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 65.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 65.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 65.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 65.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in b around inf 44.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z - y \cdot y4\right)\right)} \]

   6. Taylor expanded in y0 around inf 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 33.7%

         \[\leadsto b \cdot \left(k \cdot \color{blue}{\left(z \cdot y0\right)}\right) \]

   8. Simplified 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(z \cdot y0\right)\right)} \]

   9. Taylor expanded in b around 0 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 33.6%

          \[\leadsto \color{blue}{\left(b \cdot k\right) \cdot \left(y0 \cdot z\right)} \]

       2. *-commutative 33.6%

          \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(b \cdot k\right)} \]

       3. associate-*l* 42.5%

          \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(b \cdot k\right)\right)} \]

       4. *-commutative 42.5%

          \[\leadsto y0 \cdot \left(z \cdot \color{blue}{\left(k \cdot b\right)}\right) \]

       5. associate-*l* 47.0%

          \[\leadsto y0 \cdot \color{blue}{\left(\left(z \cdot k\right) \cdot b\right)} \]

       6. *-commutative 47.0%

          \[\leadsto y0 \cdot \color{blue}{\left(b \cdot \left(z \cdot k\right)\right)} \]

   11. Simplified 47.0%

       \[\leadsto \color{blue}{y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)} \]

   if -1.05000000000000007e110 < k < 1.61999999999999991e-292

   1. Initial program 29.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 47.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 42.9%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if 1.61999999999999991e-292 < k < 7.1999999999999999e-224 or 7.9999999999999998e-16 < k

   1. Initial program 18.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 48.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 48.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 48.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 48.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 48.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 48.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 44.0%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 7.1999999999999999e-224 < k < 7.9999999999999998e-16

   1. Initial program 23.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 29.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 29.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 29.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 29.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 29.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 43.0%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 44.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.05 \cdot 10^{+110}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.62 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 7.2 \cdot 10^{-224} \lor \neg \left(k \leq 8 \cdot 10^{-16}\right):\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \]

Alternative 26: 29.5% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -1.85 \cdot 10^{+71}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -76000000000:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -2.1 \cdot 10^{-170}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -1.85e+71)
   (* c (* y0 (- (* x y2) (* z y3))))
   (if (<= y2 -76000000000.0)
     (* i (* j (* x y1)))
     (if (<= y2 -2.1e-170)
       (* b (* k (- (* z y0) (* y y4))))
       (if (<= y2 2.1e+47)
         (* b (* y4 (- (* t j) (* y k))))
         (* c (* x (* y0 y2))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.85e+71) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -76000000000.0) {
		tmp = i * (j * (x * y1));
	} else if (y2 <= -2.1e-170) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (y2 <= 2.1e+47) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-1.85d+71)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= (-76000000000.0d0)) then
        tmp = i * (j * (x * y1))
    else if (y2 <= (-2.1d-170)) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (y2 <= 2.1d+47) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else
        tmp = c * (x * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.85e+71) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -76000000000.0) {
		tmp = i * (j * (x * y1));
	} else if (y2 <= -2.1e-170) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (y2 <= 2.1e+47) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -1.85e+71:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= -76000000000.0:
		tmp = i * (j * (x * y1))
	elif y2 <= -2.1e-170:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif y2 <= 2.1e+47:
		tmp = b * (y4 * ((t * j) - (y * k)))
	else:
		tmp = c * (x * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -1.85e+71)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= -76000000000.0)
		tmp = Float64(i * Float64(j * Float64(x * y1)));
	elseif (y2 <= -2.1e-170)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (y2 <= 2.1e+47)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	else
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -1.85e+71)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= -76000000000.0)
		tmp = i * (j * (x * y1));
	elseif (y2 <= -2.1e-170)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (y2 <= 2.1e+47)
		tmp = b * (y4 * ((t * j) - (y * k)));
	else
		tmp = c * (x * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -1.85e+71], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -76000000000.0], N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.1e-170], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.1e+47], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if y2 < -1.85e71

   1. Initial program 17.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 43.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 43.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 43.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 43.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 43.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 43.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 43.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 43.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 43.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 55.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -1.85e71 < y2 < -7.6e10

   1. Initial program 49.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 50.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 50.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 50.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 50.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 50.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 50.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y1 around -inf 45.9%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 45.9%

         \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)} \]

      2. +-commutative 45.9%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x + -1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. mul-1-neg 45.9%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(i \cdot x + \color{blue}{\left(-y3 \cdot y4\right)}\right) \]

      4. unsub-neg 45.9%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x - y3 \cdot y4\right)} \]

      5. *-commutative 45.9%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

      6. *-commutative 45.9%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(x \cdot i - \color{blue}{y4 \cdot y3}\right) \]

   7. Simplified 45.9%

      \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(x \cdot i - y4 \cdot y3\right)} \]

   8. Taylor expanded in x around inf 51.0%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 51.0%

         \[\leadsto i \cdot \color{blue}{\left(\left(x \cdot y1\right) \cdot j\right)} \]

      2. *-commutative 51.0%

         \[\leadsto i \cdot \left(\color{blue}{\left(y1 \cdot x\right)} \cdot j\right) \]

   10. Simplified 51.0%

       \[\leadsto \color{blue}{i \cdot \left(\left(y1 \cdot x\right) \cdot j\right)} \]

   if -7.6e10 < y2 < -2.1000000000000001e-170

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 51.8%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 51.8%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 51.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 51.8%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 51.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 51.8%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in b around inf 43.2%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z - y \cdot y4\right)\right)} \]

   if -2.1000000000000001e-170 < y2 < 2.1e47

   1. Initial program 29.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 36.2%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 36.2%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 36.2%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in b around inf 32.1%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 2.1e47 < y2

   1. Initial program 16.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 47.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 43.4%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 41.4%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 41.4%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 41.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 41.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 41.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 41.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 41.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 41.4%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 47.9%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 42.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.85 \cdot 10^{+71}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -76000000000:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -2.1 \cdot 10^{-170}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 2.1 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 27: 27.3% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{if}\;k \leq -1.65 \cdot 10^{-59}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 2.65 \cdot 10^{-303}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.7 \cdot 10^{+88}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* k (- (* z y0) (* y y4))))))
   (if (<= k -1.65e-59)
     t_1
     (if (<= k 2.65e-303)
       (* y0 (* y3 (* j y5)))
       (if (<= k 2.7e+88) (* b (* t (* j y4))) t_1)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (k * ((z * y0) - (y * y4)));
	double tmp;
	if (k <= -1.65e-59) {
		tmp = t_1;
	} else if (k <= 2.65e-303) {
		tmp = y0 * (y3 * (j * y5));
	} else if (k <= 2.7e+88) {
		tmp = b * (t * (j * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (k * ((z * y0) - (y * y4)))
    if (k <= (-1.65d-59)) then
        tmp = t_1
    else if (k <= 2.65d-303) then
        tmp = y0 * (y3 * (j * y5))
    else if (k <= 2.7d+88) then
        tmp = b * (t * (j * y4))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (k * ((z * y0) - (y * y4)));
	double tmp;
	if (k <= -1.65e-59) {
		tmp = t_1;
	} else if (k <= 2.65e-303) {
		tmp = y0 * (y3 * (j * y5));
	} else if (k <= 2.7e+88) {
		tmp = b * (t * (j * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (k * ((z * y0) - (y * y4)))
	tmp = 0
	if k <= -1.65e-59:
		tmp = t_1
	elif k <= 2.65e-303:
		tmp = y0 * (y3 * (j * y5))
	elif k <= 2.7e+88:
		tmp = b * (t * (j * y4))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))))
	tmp = 0.0
	if (k <= -1.65e-59)
		tmp = t_1;
	elseif (k <= 2.65e-303)
		tmp = Float64(y0 * Float64(y3 * Float64(j * y5)));
	elseif (k <= 2.7e+88)
		tmp = Float64(b * Float64(t * Float64(j * y4)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (k * ((z * y0) - (y * y4)));
	tmp = 0.0;
	if (k <= -1.65e-59)
		tmp = t_1;
	elseif (k <= 2.65e-303)
		tmp = y0 * (y3 * (j * y5));
	elseif (k <= 2.7e+88)
		tmp = b * (t * (j * y4));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.65e-59], t$95$1, If[LessEqual[k, 2.65e-303], N[(y0 * N[(y3 * N[(j * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.7e+88], N[(b * N[(t * N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if k < -1.64999999999999991e-59 or 2.70000000000000016e88 < k

   1. Initial program 29.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 54.8%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 54.8%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 54.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 54.8%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 54.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 54.8%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in b around inf 42.6%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z - y \cdot y4\right)\right)} \]

   if -1.64999999999999991e-59 < k < 2.65e-303

   1. Initial program 29.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 32.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 32.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 32.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 32.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 32.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 32.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y3 around -inf 27.4%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 27.4%

         \[\leadsto \color{blue}{-j \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

      2. associate-*r* 27.3%

         \[\leadsto -\color{blue}{\left(j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

      3. distribute-lft-neg-in 27.3%

         \[\leadsto \color{blue}{\left(-j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

      4. *-commutative 27.3%

         \[\leadsto \left(-\color{blue}{y3 \cdot j}\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \]

      5. distribute-rgt-neg-in 27.3%

         \[\leadsto \color{blue}{\left(y3 \cdot \left(-j\right)\right)} \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) \]

   7. Simplified 27.3%

      \[\leadsto \color{blue}{\left(y3 \cdot \left(-j\right)\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

   8. Taylor expanded in y1 around 0 26.0%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 26.0%

         \[\leadsto \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

      2. *-commutative 26.0%

         \[\leadsto \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \cdot j \]

      3. associate-*l* 29.3%

         \[\leadsto \color{blue}{\left(y3 \cdot y5\right) \cdot \left(y0 \cdot j\right)} \]

   10. Simplified 29.3%

       \[\leadsto \color{blue}{\left(y3 \cdot y5\right) \cdot \left(y0 \cdot j\right)} \]

   11. Taylor expanded in y3 around 0 26.0%

       \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   12. Step-by-step derivation

       1. *-commutative 26.0%

          \[\leadsto \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

       2. associate-*l* 29.5%

          \[\leadsto \color{blue}{y0 \cdot \left(\left(y3 \cdot y5\right) \cdot j\right)} \]

       3. associate-*l* 32.9%

          \[\leadsto y0 \cdot \color{blue}{\left(y3 \cdot \left(y5 \cdot j\right)\right)} \]

       4. *-commutative 32.9%

          \[\leadsto y0 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y5\right)}\right) \]

   13. Simplified 32.9%

       \[\leadsto \color{blue}{y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)} \]

   if 2.65e-303 < k < 2.70000000000000016e88

   1. Initial program 20.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 46.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 46.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 46.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 46.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 46.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 31.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 31.7%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 31.7%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 26.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 26.1%

         \[\leadsto b \cdot \color{blue}{\left(\left(t \cdot y4\right) \cdot j\right)} \]

      2. associate-*l* 27.3%

         \[\leadsto b \cdot \color{blue}{\left(t \cdot \left(y4 \cdot j\right)\right)} \]

   10. Simplified 27.3%

       \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(y4 \cdot j\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 35.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.65 \cdot 10^{-59}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 2.65 \cdot 10^{-303}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.7 \cdot 10^{+88}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \end{array} \]

Alternative 28: 29.4% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;k \leq -2.7 \cdot 10^{+110}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq -9.2 \cdot 10^{-104}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 3.9 \cdot 10^{-12}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= k -2.7e+110)
   (* y0 (* b (* z k)))
   (if (<= k -9.2e-104)
     (* c (* y2 (- (* x y0) (* t y4))))
     (if (<= k 3.9e-12)
       (* c (* y0 (- (* x y2) (* z y3))))
       (* b (* y4 (- (* t j) (* y k))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (k <= -2.7e+110) {
		tmp = y0 * (b * (z * k));
	} else if (k <= -9.2e-104) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= 3.9e-12) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = b * (y4 * ((t * j) - (y * k)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (k <= (-2.7d+110)) then
        tmp = y0 * (b * (z * k))
    else if (k <= (-9.2d-104)) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (k <= 3.9d-12) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else
        tmp = b * (y4 * ((t * j) - (y * k)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (k <= -2.7e+110) {
		tmp = y0 * (b * (z * k));
	} else if (k <= -9.2e-104) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (k <= 3.9e-12) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = b * (y4 * ((t * j) - (y * k)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if k <= -2.7e+110:
		tmp = y0 * (b * (z * k))
	elif k <= -9.2e-104:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif k <= 3.9e-12:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	else:
		tmp = b * (y4 * ((t * j) - (y * k)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (k <= -2.7e+110)
		tmp = Float64(y0 * Float64(b * Float64(z * k)));
	elseif (k <= -9.2e-104)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (k <= 3.9e-12)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	else
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (k <= -2.7e+110)
		tmp = y0 * (b * (z * k));
	elseif (k <= -9.2e-104)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (k <= 3.9e-12)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	else
		tmp = b * (y4 * ((t * j) - (y * k)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[k, -2.7e+110], N[(y0 * N[(b * N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -9.2e-104], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 3.9e-12], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if k < -2.7000000000000001e110

   1. Initial program 37.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 65.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 65.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 65.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 65.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 65.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 65.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in b around inf 44.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z - y \cdot y4\right)\right)} \]

   6. Taylor expanded in y0 around inf 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 33.7%

         \[\leadsto b \cdot \left(k \cdot \color{blue}{\left(z \cdot y0\right)}\right) \]

   8. Simplified 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(z \cdot y0\right)\right)} \]

   9. Taylor expanded in b around 0 33.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 33.6%

          \[\leadsto \color{blue}{\left(b \cdot k\right) \cdot \left(y0 \cdot z\right)} \]

       2. *-commutative 33.6%

          \[\leadsto \color{blue}{\left(y0 \cdot z\right) \cdot \left(b \cdot k\right)} \]

       3. associate-*l* 42.5%

          \[\leadsto \color{blue}{y0 \cdot \left(z \cdot \left(b \cdot k\right)\right)} \]

       4. *-commutative 42.5%

          \[\leadsto y0 \cdot \left(z \cdot \color{blue}{\left(k \cdot b\right)}\right) \]

       5. associate-*l* 47.0%

          \[\leadsto y0 \cdot \color{blue}{\left(\left(z \cdot k\right) \cdot b\right)} \]

       6. *-commutative 47.0%

          \[\leadsto y0 \cdot \color{blue}{\left(b \cdot \left(z \cdot k\right)\right)} \]

   11. Simplified 47.0%

       \[\leadsto \color{blue}{y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)} \]

   if -2.7000000000000001e110 < k < -9.1999999999999998e-104

   1. Initial program 27.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 50.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in c around inf 47.2%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if -9.1999999999999998e-104 < k < 3.89999999999999994e-12

   1. Initial program 23.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 33.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 33.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 33.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 33.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 33.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 33.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 33.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right)\right) \]

      7. *-commutative 33.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 33.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 36.6%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 3.89999999999999994e-12 < k

   1. Initial program 21.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y4 around inf 35.4%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. *-commutative 35.4%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 35.4%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in b around inf 38.1%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 40.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -2.7 \cdot 10^{+110}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq -9.2 \cdot 10^{-104}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 3.9 \cdot 10^{-12}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \]

Alternative 29: 21.8% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ t_2 := b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{if}\;y0 \leq -1.25 \cdot 10^{+69}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq -1.36 \cdot 10^{-129}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y0 \leq -5 \cdot 10^{-293}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq 5.9 \cdot 10^{-61}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (* y0 y2)))) (t_2 (* b (* j (* t y4)))))
   (if (<= y0 -1.25e+69)
     t_1
     (if (<= y0 -1.36e-129)
       t_2
       (if (<= y0 -5e-293)
         (* i (* j (* x y1)))
         (if (<= y0 5.9e-61) t_2 t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double t_2 = b * (j * (t * y4));
	double tmp;
	if (y0 <= -1.25e+69) {
		tmp = t_1;
	} else if (y0 <= -1.36e-129) {
		tmp = t_2;
	} else if (y0 <= -5e-293) {
		tmp = i * (j * (x * y1));
	} else if (y0 <= 5.9e-61) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = c * (x * (y0 * y2))
    t_2 = b * (j * (t * y4))
    if (y0 <= (-1.25d+69)) then
        tmp = t_1
    else if (y0 <= (-1.36d-129)) then
        tmp = t_2
    else if (y0 <= (-5d-293)) then
        tmp = i * (j * (x * y1))
    else if (y0 <= 5.9d-61) then
        tmp = t_2
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double t_2 = b * (j * (t * y4));
	double tmp;
	if (y0 <= -1.25e+69) {
		tmp = t_1;
	} else if (y0 <= -1.36e-129) {
		tmp = t_2;
	} else if (y0 <= -5e-293) {
		tmp = i * (j * (x * y1));
	} else if (y0 <= 5.9e-61) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (x * (y0 * y2))
	t_2 = b * (j * (t * y4))
	tmp = 0
	if y0 <= -1.25e+69:
		tmp = t_1
	elif y0 <= -1.36e-129:
		tmp = t_2
	elif y0 <= -5e-293:
		tmp = i * (j * (x * y1))
	elif y0 <= 5.9e-61:
		tmp = t_2
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(x * Float64(y0 * y2)))
	t_2 = Float64(b * Float64(j * Float64(t * y4)))
	tmp = 0.0
	if (y0 <= -1.25e+69)
		tmp = t_1;
	elseif (y0 <= -1.36e-129)
		tmp = t_2;
	elseif (y0 <= -5e-293)
		tmp = Float64(i * Float64(j * Float64(x * y1)));
	elseif (y0 <= 5.9e-61)
		tmp = t_2;
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (x * (y0 * y2));
	t_2 = b * (j * (t * y4));
	tmp = 0.0;
	if (y0 <= -1.25e+69)
		tmp = t_1;
	elseif (y0 <= -1.36e-129)
		tmp = t_2;
	elseif (y0 <= -5e-293)
		tmp = i * (j * (x * y1));
	elseif (y0 <= 5.9e-61)
		tmp = t_2;
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -1.25e+69], t$95$1, If[LessEqual[y0, -1.36e-129], t$95$2, If[LessEqual[y0, -5e-293], N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 5.9e-61], t$95$2, t$95$1]]]]]]

Derivation

1. Split input into 3 regimes

2. if y0 < -1.25000000000000009e69 or 5.89999999999999972e-61 < y0

   1. Initial program 18.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 37.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 36.9%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 38.4%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 38.4%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 38.4%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 38.5%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if -1.25000000000000009e69 < y0 < -1.36000000000000002e-129 or -5.0000000000000003e-293 < y0 < 5.89999999999999972e-61

   1. Initial program 33.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 38.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 38.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 38.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 38.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 38.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 38.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 39.6%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   6. Taylor expanded in b around inf 31.2%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]

   if -1.36000000000000002e-129 < y0 < -5.0000000000000003e-293

   1. Initial program 38.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 39.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 39.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 39.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 39.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 39.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 39.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y1 around -inf 33.2%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 33.0%

         \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)} \]

      2. +-commutative 33.0%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x + -1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. mul-1-neg 33.0%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(i \cdot x + \color{blue}{\left(-y3 \cdot y4\right)}\right) \]

      4. unsub-neg 33.0%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x - y3 \cdot y4\right)} \]

      5. *-commutative 33.0%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

      6. *-commutative 33.0%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(x \cdot i - \color{blue}{y4 \cdot y3}\right) \]

   7. Simplified 33.0%

      \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(x \cdot i - y4 \cdot y3\right)} \]

   8. Taylor expanded in x around inf 30.2%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 30.2%

         \[\leadsto i \cdot \color{blue}{\left(\left(x \cdot y1\right) \cdot j\right)} \]

      2. *-commutative 30.2%

         \[\leadsto i \cdot \left(\color{blue}{\left(y1 \cdot x\right)} \cdot j\right) \]

   10. Simplified 30.2%

       \[\leadsto \color{blue}{i \cdot \left(\left(y1 \cdot x\right) \cdot j\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 34.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.25 \cdot 10^{+69}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -1.36 \cdot 10^{-129}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq -5 \cdot 10^{-293}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq 5.9 \cdot 10^{-61}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 30: 21.9% accurate, 6.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{if}\;y0 \leq -1.6 \cdot 10^{+69}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y0 \leq -6.8 \cdot 10^{-127}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq -4.8 \cdot 10^{-292}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq 5.8 \cdot 10^{-61}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (* y0 y2)))))
   (if (<= y0 -1.6e+69)
     t_1
     (if (<= y0 -6.8e-127)
       (* j (* b (* t y4)))
       (if (<= y0 -4.8e-292)
         (* i (* j (* x y1)))
         (if (<= y0 5.8e-61) (* b (* j (* t y4))) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double tmp;
	if (y0 <= -1.6e+69) {
		tmp = t_1;
	} else if (y0 <= -6.8e-127) {
		tmp = j * (b * (t * y4));
	} else if (y0 <= -4.8e-292) {
		tmp = i * (j * (x * y1));
	} else if (y0 <= 5.8e-61) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (x * (y0 * y2))
    if (y0 <= (-1.6d+69)) then
        tmp = t_1
    else if (y0 <= (-6.8d-127)) then
        tmp = j * (b * (t * y4))
    else if (y0 <= (-4.8d-292)) then
        tmp = i * (j * (x * y1))
    else if (y0 <= 5.8d-61) then
        tmp = b * (j * (t * y4))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (x * (y0 * y2));
	double tmp;
	if (y0 <= -1.6e+69) {
		tmp = t_1;
	} else if (y0 <= -6.8e-127) {
		tmp = j * (b * (t * y4));
	} else if (y0 <= -4.8e-292) {
		tmp = i * (j * (x * y1));
	} else if (y0 <= 5.8e-61) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (x * (y0 * y2))
	tmp = 0
	if y0 <= -1.6e+69:
		tmp = t_1
	elif y0 <= -6.8e-127:
		tmp = j * (b * (t * y4))
	elif y0 <= -4.8e-292:
		tmp = i * (j * (x * y1))
	elif y0 <= 5.8e-61:
		tmp = b * (j * (t * y4))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(x * Float64(y0 * y2)))
	tmp = 0.0
	if (y0 <= -1.6e+69)
		tmp = t_1;
	elseif (y0 <= -6.8e-127)
		tmp = Float64(j * Float64(b * Float64(t * y4)));
	elseif (y0 <= -4.8e-292)
		tmp = Float64(i * Float64(j * Float64(x * y1)));
	elseif (y0 <= 5.8e-61)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (x * (y0 * y2));
	tmp = 0.0;
	if (y0 <= -1.6e+69)
		tmp = t_1;
	elseif (y0 <= -6.8e-127)
		tmp = j * (b * (t * y4));
	elseif (y0 <= -4.8e-292)
		tmp = i * (j * (x * y1));
	elseif (y0 <= 5.8e-61)
		tmp = b * (j * (t * y4));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -1.6e+69], t$95$1, If[LessEqual[y0, -6.8e-127], N[(j * N[(b * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -4.8e-292], N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 5.8e-61], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if y0 < -1.59999999999999992e69 or 5.7999999999999999e-61 < y0

   1. Initial program 18.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 37.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 36.9%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 38.4%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 38.4%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 38.4%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 38.5%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if -1.59999999999999992e69 < y0 < -6.7999999999999997e-127

   1. Initial program 36.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 42.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 42.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 42.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 42.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 42.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 42.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y4 around inf 43.2%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(b \cdot t - y1 \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 43.2%

         \[\leadsto j \cdot \left(y4 \cdot \left(\color{blue}{t \cdot b} - y1 \cdot y3\right)\right) \]

   7. Simplified 43.2%

      \[\leadsto j \cdot \color{blue}{\left(y4 \cdot \left(t \cdot b - y1 \cdot y3\right)\right)} \]

   8. Taylor expanded in t around inf 35.9%

      \[\leadsto j \cdot \color{blue}{\left(b \cdot \left(t \cdot y4\right)\right)} \]

   if -6.7999999999999997e-127 < y0 < -4.8000000000000002e-292

   1. Initial program 38.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 39.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 39.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 39.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 39.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 39.5%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 39.5%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in y1 around -inf 33.2%

      \[\leadsto \color{blue}{j \cdot \left(y1 \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 33.0%

         \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(-1 \cdot \left(y3 \cdot y4\right) + i \cdot x\right)} \]

      2. +-commutative 33.0%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x + -1 \cdot \left(y3 \cdot y4\right)\right)} \]

      3. mul-1-neg 33.0%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(i \cdot x + \color{blue}{\left(-y3 \cdot y4\right)}\right) \]

      4. unsub-neg 33.0%

         \[\leadsto \left(j \cdot y1\right) \cdot \color{blue}{\left(i \cdot x - y3 \cdot y4\right)} \]

      5. *-commutative 33.0%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(\color{blue}{x \cdot i} - y3 \cdot y4\right) \]

      6. *-commutative 33.0%

         \[\leadsto \left(j \cdot y1\right) \cdot \left(x \cdot i - \color{blue}{y4 \cdot y3}\right) \]

   7. Simplified 33.0%

      \[\leadsto \color{blue}{\left(j \cdot y1\right) \cdot \left(x \cdot i - y4 \cdot y3\right)} \]

   8. Taylor expanded in x around inf 30.2%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   9. Step-by-step derivation

      1. *-commutative 30.2%

         \[\leadsto i \cdot \color{blue}{\left(\left(x \cdot y1\right) \cdot j\right)} \]

      2. *-commutative 30.2%

         \[\leadsto i \cdot \left(\color{blue}{\left(y1 \cdot x\right)} \cdot j\right) \]

   10. Simplified 30.2%

       \[\leadsto \color{blue}{i \cdot \left(\left(y1 \cdot x\right) \cdot j\right)} \]

   if -4.8000000000000002e-292 < y0 < 5.7999999999999999e-61

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 34.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 34.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 34.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 34.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 34.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 34.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 37.0%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   6. Taylor expanded in b around inf 27.7%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 34.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.6 \cdot 10^{+69}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -6.8 \cdot 10^{-127}:\\ \;\;\;\;j \cdot \left(b \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq -4.8 \cdot 10^{-292}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq 5.8 \cdot 10^{-61}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]

Alternative 31: 21.4% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y0 \leq -1.65 \cdot 10^{+97} \lor \neg \left(y0 \leq 9 \cdot 10^{+145}\right):\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= y0 -1.65e+97) (not (<= y0 9e+145)))
   (* b (* k (* z y0)))
   (* b (* j (* t y4)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y0 <= -1.65e+97) || !(y0 <= 9e+145)) {
		tmp = b * (k * (z * y0));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((y0 <= (-1.65d+97)) .or. (.not. (y0 <= 9d+145))) then
        tmp = b * (k * (z * y0))
    else
        tmp = b * (j * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y0 <= -1.65e+97) || !(y0 <= 9e+145)) {
		tmp = b * (k * (z * y0));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (y0 <= -1.65e+97) or not (y0 <= 9e+145):
		tmp = b * (k * (z * y0))
	else:
		tmp = b * (j * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((y0 <= -1.65e+97) || !(y0 <= 9e+145))
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	else
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((y0 <= -1.65e+97) || ~((y0 <= 9e+145)))
		tmp = b * (k * (z * y0));
	else
		tmp = b * (j * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[y0, -1.65e+97], N[Not[LessEqual[y0, 9e+145]], $MachinePrecision]], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y0 < -1.6500000000000001e97 or 8.9999999999999996e145 < y0

   1. Initial program 12.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in k around inf 33.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 33.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 33.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 33.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. mul-1-neg 33.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right) \]

   4. Simplified 33.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - \left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]

   5. Taylor expanded in b around inf 33.0%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z - y \cdot y4\right)\right)} \]

   6. Taylor expanded in y0 around inf 31.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 31.7%

         \[\leadsto b \cdot \left(k \cdot \color{blue}{\left(z \cdot y0\right)}\right) \]

   8. Simplified 31.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(z \cdot y0\right)\right)} \]

   if -1.6500000000000001e97 < y0 < 8.9999999999999996e145

   1. Initial program 32.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 39.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 39.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 39.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 39.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 39.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 39.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 35.5%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   6. Taylor expanded in b around inf 25.3%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 27.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.65 \cdot 10^{+97} \lor \neg \left(y0 \leq 9 \cdot 10^{+145}\right):\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]

Alternative 32: 21.3% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y0 \leq -1.2 \cdot 10^{+69} \lor \neg \left(y0 \leq 3.3 \cdot 10^{-60}\right):\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= y0 -1.2e+69) (not (<= y0 3.3e-60)))
   (* c (* x (* y0 y2)))
   (* b (* j (* t y4)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y0 <= -1.2e+69) || !(y0 <= 3.3e-60)) {
		tmp = c * (x * (y0 * y2));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if ((y0 <= (-1.2d+69)) .or. (.not. (y0 <= 3.3d-60))) then
        tmp = c * (x * (y0 * y2))
    else
        tmp = b * (j * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if ((y0 <= -1.2e+69) || !(y0 <= 3.3e-60)) {
		tmp = c * (x * (y0 * y2));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (y0 <= -1.2e+69) or not (y0 <= 3.3e-60):
		tmp = c * (x * (y0 * y2))
	else:
		tmp = b * (j * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if ((y0 <= -1.2e+69) || !(y0 <= 3.3e-60))
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	else
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if ((y0 <= -1.2e+69) || ~((y0 <= 3.3e-60)))
		tmp = c * (x * (y0 * y2));
	else
		tmp = b * (j * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[Or[LessEqual[y0, -1.2e+69], N[Not[LessEqual[y0, 3.3e-60]], $MachinePrecision]], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y0 < -1.2000000000000001e69 or 3.2999999999999998e-60 < y0

   1. Initial program 18.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 37.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 36.9%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 38.4%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. *-commutative 38.4%

         \[\leadsto \color{blue}{\left(y2 \cdot y0\right)} \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right) \]

      3. +-commutative 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      4. mul-1-neg 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      5. unsub-neg 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      6. *-commutative 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      7. *-commutative 38.4%

         \[\leadsto \left(y2 \cdot y0\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 38.4%

      \[\leadsto \color{blue}{\left(y2 \cdot y0\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   6. Taylor expanded in x around inf 38.5%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if -1.2000000000000001e69 < y0 < 3.2999999999999998e-60

   1. Initial program 34.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in j around inf 38.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 38.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 38.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 38.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 38.4%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   4. Simplified 38.4%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   5. Taylor expanded in t around inf 35.7%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   6. Taylor expanded in b around inf 27.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 32.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.2 \cdot 10^{+69} \lor \neg \left(y0 \leq 3.3 \cdot 10^{-60}\right):\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]

Alternative 33: 17.2% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ b \cdot \left(j \cdot \left(t \cdot y4\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* b (* j (* t y4))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return b * (j * (t * y4));
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = b * (j * (t * y4))
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return b * (j * (t * y4));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return b * (j * (t * y4))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(b * Float64(j * Float64(t * y4)))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = b * (j * (t * y4));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 26.3%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

2. Taylor expanded in j around inf 39.2%

   \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
3. Step-by-step derivation

   1. +-commutative 39.2%

      \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   2. mul-1-neg 39.2%

      \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   3. unsub-neg 39.2%

      \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   4. *-commutative 39.2%

      \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

4. Simplified 39.2%

   \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

5. Taylor expanded in t around inf 31.8%

   \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

6. Taylor expanded in b around inf 21.9%

   \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]

7. Final simplification 21.9%

   \[\leadsto b \cdot \left(j \cdot \left(t \cdot y4\right)\right) \]

Developer target: 28.1% accurate, 0.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t_9\\ t_11 := t_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t_4 \cdot t_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t_3 \cdot t_1 - t_14\right)\right) + \left(t_8 - \left(t_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t_13\right)\right) + \left(t_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t_10 - \left(y \cdot x - z \cdot t\right) \cdot t_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t_8 - \left(t_11 - t_6\right)\right) - \left(\frac{t_3}{\frac{1}{t_1}} - t_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t_2 - \left(t_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t_5\right) - t_17 \cdot t_1\right) + t_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2023321 
(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
  :name "Linear.Matrix:det44 from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (if (< y4 -7.206256231996481e+60) (- (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))))) (- (/ (- (* y2 t) (* y3 y)) (/ 1.0 (- (* y4 c) (* y5 a)))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (if (< y4 -3.364603505246317e-66) (+ (- (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x))) (* (- (* b y0) (* i y1)) (- (* j x) (* k z)))) (- (* (- (* y0 c) (* a y1)) (- (* x y2) (* z y3))) (- (* (- (* t y2) (* y y3)) (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) (- (* k y2) (* j y3)))))) (if (< y4 -1.2000065055686116e-105) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 6.718963124057495e-279) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (if (< y4 4.77962681403792e-222) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 2.2852241541266835e-175) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (- (* k (* i (* z y1))) (+ (* j (* i (* x y1))) (* y0 (* k (* z b)))))) (- (* z (* y3 (* a y1))) (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3)))))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))))))))

  (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))))