Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.2% → 41.2%

Time: 2.0min

Alternatives: 39

Speedup: 2.6×

• 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: 30.2% 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: 41.2% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ t_3 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot t\_2 + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ t_4 := x \cdot y2 - z \cdot y3\\ t_5 := i \cdot y1 - b \cdot y0\\ t_6 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t\_1\right) + j \cdot t\_5\right)\\ t_7 := z \cdot k - x \cdot j\\ t_8 := y0 \cdot y5 - y1 \cdot y4\\ \mathbf{if}\;k \leq -3.4 \cdot 10^{+270}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.5 \cdot 10^{+122}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;k \leq -1.6 \cdot 10^{+36}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t\_4 + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot t\_7\right)\\ \mathbf{elif}\;k \leq -8 \cdot 10^{-57}:\\ \;\;\;\;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 t\_7\right)\\ \mathbf{elif}\;k \leq -3.4 \cdot 10^{-84}:\\ \;\;\;\;c \cdot \left(y0 \cdot t\_4\right)\\ \mathbf{elif}\;k \leq -1.3 \cdot 10^{-142}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;k \leq -3.5 \cdot 10^{-150}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;k \leq -3 \cdot 10^{-201}:\\ \;\;\;\;\left(a \cdot y3\right) \cdot \left(z \cdot y1 - y \cdot y5\right)\\ \mathbf{elif}\;k \leq -1.95 \cdot 10^{-293}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;k \leq 10^{-249}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_2 + x \cdot t\_1\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.68 \cdot 10^{-130}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot t\_8 + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;k \leq 5.2 \cdot 10^{-20}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot t\_8\right) + x \cdot t\_5\right)\\ \mathbf{elif}\;k \leq 5.4 \cdot 10^{+78}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot t\_4\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 (- (* c y0) (* a y1)))
        (t_2 (- (* y1 y4) (* y0 y5)))
        (t_3
         (*
          k
          (+
           (* z (- (* b y0) (* i y1)))
           (+ (* y2 t_2) (* y (- (* i y5) (* b y4)))))))
        (t_4 (- (* x y2) (* z y3)))
        (t_5 (- (* i y1) (* b y0)))
        (t_6 (* x (+ (+ (* y (- (* a b) (* c i))) (* y2 t_1)) (* j t_5))))
        (t_7 (- (* z k) (* x j)))
        (t_8 (- (* y0 y5) (* y1 y4))))
   (if (<= k -3.4e+270)
     (* a (* x (- (* y b) (* y1 y2))))
     (if (<= k -2.5e+122)
       t_3
       (if (<= k -1.6e+36)
         (* y0 (+ (+ (* c t_4) (* y5 (- (* j y3) (* k y2)))) (* b t_7)))
         (if (<= k -8e-57)
           (*
            b
            (+
             (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
             (* y0 t_7)))
           (if (<= k -3.4e-84)
             (* c (* y0 t_4))
             (if (<= k -1.3e-142)
               t_6
               (if (<= k -3.5e-150)
                 (* y0 (* y3 (- (* j y5) (* z c))))
                 (if (<= k -3e-201)
                   (* (* a y3) (- (* z y1) (* y y5)))
                   (if (<= k -1.95e-293)
                     t_6
                     (if (<= k 1e-249)
                       (*
                        y2
                        (+
                         (+ (* k t_2) (* x t_1))
                         (* t (- (* a y5) (* c y4)))))
                       (if (<= k 1.68e-130)
                         (*
                          y3
                          (+
                           (* y (- (* c y4) (* a y5)))
                           (+ (* j t_8) (* z (- (* a y1) (* c y0))))))
                         (if (<= k 5.2e-20)
                           (*
                            j
                            (+
                             (+ (* t (- (* b y4) (* i y5))) (* y3 t_8))
                             (* x t_5)))
                           (if (<= k 5.4e+78)
                             (*
                              y1
                              (+
                               (* i (- (* x j) (* z k)))
                               (- (* y4 (- (* k y2) (* j y3))) (* a t_4))))
                             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 = (c * y0) - (a * y1);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * t_2) + (y * ((i * y5) - (b * y4)))));
	double t_4 = (x * y2) - (z * y3);
	double t_5 = (i * y1) - (b * y0);
	double t_6 = x * (((y * ((a * b) - (c * i))) + (y2 * t_1)) + (j * t_5));
	double t_7 = (z * k) - (x * j);
	double t_8 = (y0 * y5) - (y1 * y4);
	double tmp;
	if (k <= -3.4e+270) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -2.5e+122) {
		tmp = t_3;
	} else if (k <= -1.6e+36) {
		tmp = y0 * (((c * t_4) + (y5 * ((j * y3) - (k * y2)))) + (b * t_7));
	} else if (k <= -8e-57) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_7));
	} else if (k <= -3.4e-84) {
		tmp = c * (y0 * t_4);
	} else if (k <= -1.3e-142) {
		tmp = t_6;
	} else if (k <= -3.5e-150) {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	} else if (k <= -3e-201) {
		tmp = (a * y3) * ((z * y1) - (y * y5));
	} else if (k <= -1.95e-293) {
		tmp = t_6;
	} else if (k <= 1e-249) {
		tmp = y2 * (((k * t_2) + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	} else if (k <= 1.68e-130) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_8) + (z * ((a * y1) - (c * y0)))));
	} else if (k <= 5.2e-20) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_8)) + (x * t_5));
	} else if (k <= 5.4e+78) {
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * ((k * y2) - (j * y3))) - (a * t_4)));
	} 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) :: t_7
    real(8) :: t_8
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = (y1 * y4) - (y0 * y5)
    t_3 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * t_2) + (y * ((i * y5) - (b * y4)))))
    t_4 = (x * y2) - (z * y3)
    t_5 = (i * y1) - (b * y0)
    t_6 = x * (((y * ((a * b) - (c * i))) + (y2 * t_1)) + (j * t_5))
    t_7 = (z * k) - (x * j)
    t_8 = (y0 * y5) - (y1 * y4)
    if (k <= (-3.4d+270)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (k <= (-2.5d+122)) then
        tmp = t_3
    else if (k <= (-1.6d+36)) then
        tmp = y0 * (((c * t_4) + (y5 * ((j * y3) - (k * y2)))) + (b * t_7))
    else if (k <= (-8d-57)) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_7))
    else if (k <= (-3.4d-84)) then
        tmp = c * (y0 * t_4)
    else if (k <= (-1.3d-142)) then
        tmp = t_6
    else if (k <= (-3.5d-150)) then
        tmp = y0 * (y3 * ((j * y5) - (z * c)))
    else if (k <= (-3d-201)) then
        tmp = (a * y3) * ((z * y1) - (y * y5))
    else if (k <= (-1.95d-293)) then
        tmp = t_6
    else if (k <= 1d-249) then
        tmp = y2 * (((k * t_2) + (x * t_1)) + (t * ((a * y5) - (c * y4))))
    else if (k <= 1.68d-130) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_8) + (z * ((a * y1) - (c * y0)))))
    else if (k <= 5.2d-20) then
        tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_8)) + (x * t_5))
    else if (k <= 5.4d+78) then
        tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * ((k * y2) - (j * y3))) - (a * t_4)))
    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 = (c * y0) - (a * y1);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * t_2) + (y * ((i * y5) - (b * y4)))));
	double t_4 = (x * y2) - (z * y3);
	double t_5 = (i * y1) - (b * y0);
	double t_6 = x * (((y * ((a * b) - (c * i))) + (y2 * t_1)) + (j * t_5));
	double t_7 = (z * k) - (x * j);
	double t_8 = (y0 * y5) - (y1 * y4);
	double tmp;
	if (k <= -3.4e+270) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -2.5e+122) {
		tmp = t_3;
	} else if (k <= -1.6e+36) {
		tmp = y0 * (((c * t_4) + (y5 * ((j * y3) - (k * y2)))) + (b * t_7));
	} else if (k <= -8e-57) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_7));
	} else if (k <= -3.4e-84) {
		tmp = c * (y0 * t_4);
	} else if (k <= -1.3e-142) {
		tmp = t_6;
	} else if (k <= -3.5e-150) {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	} else if (k <= -3e-201) {
		tmp = (a * y3) * ((z * y1) - (y * y5));
	} else if (k <= -1.95e-293) {
		tmp = t_6;
	} else if (k <= 1e-249) {
		tmp = y2 * (((k * t_2) + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	} else if (k <= 1.68e-130) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_8) + (z * ((a * y1) - (c * y0)))));
	} else if (k <= 5.2e-20) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_8)) + (x * t_5));
	} else if (k <= 5.4e+78) {
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * ((k * y2) - (j * y3))) - (a * t_4)));
	} 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 = (c * y0) - (a * y1)
	t_2 = (y1 * y4) - (y0 * y5)
	t_3 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * t_2) + (y * ((i * y5) - (b * y4)))))
	t_4 = (x * y2) - (z * y3)
	t_5 = (i * y1) - (b * y0)
	t_6 = x * (((y * ((a * b) - (c * i))) + (y2 * t_1)) + (j * t_5))
	t_7 = (z * k) - (x * j)
	t_8 = (y0 * y5) - (y1 * y4)
	tmp = 0
	if k <= -3.4e+270:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif k <= -2.5e+122:
		tmp = t_3
	elif k <= -1.6e+36:
		tmp = y0 * (((c * t_4) + (y5 * ((j * y3) - (k * y2)))) + (b * t_7))
	elif k <= -8e-57:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_7))
	elif k <= -3.4e-84:
		tmp = c * (y0 * t_4)
	elif k <= -1.3e-142:
		tmp = t_6
	elif k <= -3.5e-150:
		tmp = y0 * (y3 * ((j * y5) - (z * c)))
	elif k <= -3e-201:
		tmp = (a * y3) * ((z * y1) - (y * y5))
	elif k <= -1.95e-293:
		tmp = t_6
	elif k <= 1e-249:
		tmp = y2 * (((k * t_2) + (x * t_1)) + (t * ((a * y5) - (c * y4))))
	elif k <= 1.68e-130:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_8) + (z * ((a * y1) - (c * y0)))))
	elif k <= 5.2e-20:
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_8)) + (x * t_5))
	elif k <= 5.4e+78:
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * ((k * y2) - (j * y3))) - (a * t_4)))
	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(c * y0) - Float64(a * y1))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_3 = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y2 * t_2) + Float64(y * Float64(Float64(i * y5) - Float64(b * y4))))))
	t_4 = Float64(Float64(x * y2) - Float64(z * y3))
	t_5 = Float64(Float64(i * y1) - Float64(b * y0))
	t_6 = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_1)) + Float64(j * t_5)))
	t_7 = Float64(Float64(z * k) - Float64(x * j))
	t_8 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	tmp = 0.0
	if (k <= -3.4e+270)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (k <= -2.5e+122)
		tmp = t_3;
	elseif (k <= -1.6e+36)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_4) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * t_7)));
	elseif (k <= -8e-57)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * t_7)));
	elseif (k <= -3.4e-84)
		tmp = Float64(c * Float64(y0 * t_4));
	elseif (k <= -1.3e-142)
		tmp = t_6;
	elseif (k <= -3.5e-150)
		tmp = Float64(y0 * Float64(y3 * Float64(Float64(j * y5) - Float64(z * c))));
	elseif (k <= -3e-201)
		tmp = Float64(Float64(a * y3) * Float64(Float64(z * y1) - Float64(y * y5)));
	elseif (k <= -1.95e-293)
		tmp = t_6;
	elseif (k <= 1e-249)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_2) + Float64(x * t_1)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (k <= 1.68e-130)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(j * t_8) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))));
	elseif (k <= 5.2e-20)
		tmp = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * t_8)) + Float64(x * t_5)));
	elseif (k <= 5.4e+78)
		tmp = Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))) - Float64(a * t_4))));
	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 = (c * y0) - (a * y1);
	t_2 = (y1 * y4) - (y0 * y5);
	t_3 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * t_2) + (y * ((i * y5) - (b * y4)))));
	t_4 = (x * y2) - (z * y3);
	t_5 = (i * y1) - (b * y0);
	t_6 = x * (((y * ((a * b) - (c * i))) + (y2 * t_1)) + (j * t_5));
	t_7 = (z * k) - (x * j);
	t_8 = (y0 * y5) - (y1 * y4);
	tmp = 0.0;
	if (k <= -3.4e+270)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (k <= -2.5e+122)
		tmp = t_3;
	elseif (k <= -1.6e+36)
		tmp = y0 * (((c * t_4) + (y5 * ((j * y3) - (k * y2)))) + (b * t_7));
	elseif (k <= -8e-57)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_7));
	elseif (k <= -3.4e-84)
		tmp = c * (y0 * t_4);
	elseif (k <= -1.3e-142)
		tmp = t_6;
	elseif (k <= -3.5e-150)
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	elseif (k <= -3e-201)
		tmp = (a * y3) * ((z * y1) - (y * y5));
	elseif (k <= -1.95e-293)
		tmp = t_6;
	elseif (k <= 1e-249)
		tmp = y2 * (((k * t_2) + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	elseif (k <= 1.68e-130)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_8) + (z * ((a * y1) - (c * y0)))));
	elseif (k <= 5.2e-20)
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * t_8)) + (x * t_5));
	elseif (k <= 5.4e+78)
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * ((k * y2) - (j * y3))) - (a * t_4)));
	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[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y2 * t$95$2), $MachinePrecision] + N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -3.4e+270], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.5e+122], t$95$3, If[LessEqual[k, -1.6e+36], N[(y0 * N[(N[(N[(c * t$95$4), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -8e-57], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3.4e-84], N[(c * N[(y0 * t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.3e-142], t$95$6, If[LessEqual[k, -3.5e-150], N[(y0 * N[(y3 * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3e-201], N[(N[(a * y3), $MachinePrecision] * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.95e-293], t$95$6, If[LessEqual[k, 1e-249], N[(y2 * N[(N[(N[(k * t$95$2), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.68e-130], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * t$95$8), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 5.2e-20], N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * t$95$8), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 5.4e+78], N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$3]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if k < -3.40000000000000016e270

   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. Add Preprocessing

   3. Taylor expanded in a around inf 29.5%

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

   4. Taylor expanded in x around inf 51.0%

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

      1. +-commutative 51.0%

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

      2. mul-1-neg 51.0%

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

      3. unsub-neg 51.0%

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

      4. *-commutative 51.0%

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

      5. *-commutative 51.0%

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

   6. Simplified 51.0%

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

   if -3.40000000000000016e270 < k < -2.49999999999999994e122 or 5.40000000000000009e78 < k

   1. Initial program 24.4%

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

   3. Taylor expanded in k around inf 70.4%

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

      1. sub-neg 70.4%

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

      2. +-commutative 70.4%

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

      3. mul-1-neg 70.4%

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

      4. unsub-neg 70.4%

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

      5. *-commutative 70.4%

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

      6. mul-1-neg 70.4%

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

      7. remove-double-neg 70.4%

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

   5. Simplified 70.4%

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

   if -2.49999999999999994e122 < k < -1.5999999999999999e36

   1. Initial program 44.7%

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

   3. Taylor expanded in y0 around inf 67.1%

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

      1. +-commutative 67.1%

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

      2. mul-1-neg 67.1%

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

      3. unsub-neg 67.1%

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

      4. *-commutative 67.1%

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

      5. *-commutative 67.1%

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

      6. *-commutative 67.1%

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

      7. *-commutative 67.1%

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

   5. Simplified 67.1%

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

   if -1.5999999999999999e36 < k < -7.99999999999999964e-57

   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. Add Preprocessing

   3. Taylor expanded in b around inf 60.6%

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

   if -7.99999999999999964e-57 < k < -3.40000000000000021e-84

   1. Initial program 22.2%

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

   3. Taylor expanded in y0 around inf 67.3%

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

      1. +-commutative 67.3%

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

      2. mul-1-neg 67.3%

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

      3. unsub-neg 67.3%

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

      4. *-commutative 67.3%

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

      5. *-commutative 67.3%

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

      6. *-commutative 67.3%

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

      7. *-commutative 67.3%

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

   5. Simplified 67.3%

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

   6. Taylor expanded in c around inf 68.1%

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

   if -3.40000000000000021e-84 < k < -1.3e-142 or -3.00000000000000002e-201 < k < -1.95e-293

   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. Add Preprocessing

   3. Taylor expanded in x around inf 68.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -1.3e-142 < k < -3.4999999999999998e-150

   1. Initial program 50.0%

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

   3. Taylor expanded in y0 around inf 52.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. 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%

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

      5. *-commutative 52.5%

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

      6. *-commutative 52.5%

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

      7. *-commutative 52.5%

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

   5. Simplified 52.5%

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

   6. Taylor expanded in y3 around inf 100.0%

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

      1. cancel-sign-sub-inv 100.0%

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

      2. metadata-eval 100.0%

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

      3. *-lft-identity 100.0%

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

      4. +-commutative 100.0%

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

      5. mul-1-neg 100.0%

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

      6. unsub-neg 100.0%

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

      7. *-commutative 100.0%

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

   8. Simplified 100.0%

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

   if -3.4999999999999998e-150 < k < -3.00000000000000002e-201

   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. Add Preprocessing

   3. Taylor expanded in a around inf 31.3%

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

   4. Taylor expanded in y3 around inf 51.1%

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

      1. associate-*r* 51.2%

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

      2. *-commutative 51.2%

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

   6. Simplified 51.2%

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

   if -1.95e-293 < k < 1.00000000000000005e-249

   1. Initial program 43.8%

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

   3. Taylor expanded in y2 around inf 62.6%

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

   if 1.00000000000000005e-249 < k < 1.67999999999999998e-130

   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. Add Preprocessing

   3. Taylor expanded in y3 around -inf 61.3%

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

   if 1.67999999999999998e-130 < k < 5.1999999999999999e-20

   1. Initial program 30.7%

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

   3. Taylor expanded in j around inf 53.9%

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

      1. +-commutative 53.9%

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

      2. mul-1-neg 53.9%

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

      3. unsub-neg 53.9%

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

      4. *-commutative 53.9%

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

   5. Simplified 53.9%

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

   if 5.1999999999999999e-20 < k < 5.40000000000000009e78

   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. Add Preprocessing

   3. Taylor expanded in y1 around -inf 73.2%

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

      1. mul-1-neg 73.2%

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

      2. *-commutative 73.2%

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

      3. distribute-rgt-neg-in 73.2%

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

   5. Simplified 73.2%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right) \cdot \left(-y1\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 64.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -3.4 \cdot 10^{+270}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.5 \cdot 10^{+122}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;k \leq -1.6 \cdot 10^{+36}:\\ \;\;\;\;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 -8 \cdot 10^{-57}:\\ \;\;\;\;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 -3.4 \cdot 10^{-84}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -1.3 \cdot 10^{-142}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -3.5 \cdot 10^{-150}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;k \leq -3 \cdot 10^{-201}:\\ \;\;\;\;\left(a \cdot y3\right) \cdot \left(z \cdot y1 - y \cdot y5\right)\\ \mathbf{elif}\;k \leq -1.95 \cdot 10^{-293}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 10^{-249}:\\ \;\;\;\;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}\;k \leq 1.68 \cdot 10^{-130}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;k \leq 5.2 \cdot 10^{-20}:\\ \;\;\;\;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 5.4 \cdot 10^{+78}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 2: 53.6% accurate, 0.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot b - c \cdot i\\ t_2 := \left(\left(\left(\left(t\_1 \cdot \left(x \cdot y - z \cdot t\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(t \cdot j - y \cdot k\right)\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ \mathbf{if}\;t\_2 \leq \infty:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot t\_1\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a b) (* c i)))
        (t_2
         (+
          (+
           (+
            (+
             (-
              (* t_1 (- (* x y) (* z t)))
              (* (- (* x j) (* z k)) (- (* b y0) (* i y1))))
             (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))))
            (* (- (* b y4) (* i y5)) (- (* 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
     (*
      y
      (+
       (+ (* k (- (* i y5) (* b y4))) (* x t_1))
       (* y3 (- (* c y4) (* a 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 = (a * b) - (c * i);
	double t_2 = (((((t_1 * ((x * y) - (z * t))) - (((x * j) - (z * k)) * ((b * y0) - (i * y1)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (((b * y4) - (i * y5)) * ((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 = y * (((k * ((i * y5) - (b * y4))) + (x * t_1)) + (y3 * ((c * y4) - (a * y5))));
	}
	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 = (a * b) - (c * i);
	double t_2 = (((((t_1 * ((x * y) - (z * t))) - (((x * j) - (z * k)) * ((b * y0) - (i * y1)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (((b * y4) - (i * y5)) * ((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 = y * (((k * ((i * y5) - (b * y4))) + (x * t_1)) + (y3 * ((c * y4) - (a * y5))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * b) - (c * i)
	t_2 = (((((t_1 * ((x * y) - (z * t))) - (((x * j) - (z * k)) * ((b * y0) - (i * y1)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (((b * y4) - (i * y5)) * ((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 = y * (((k * ((i * y5) - (b * y4))) + (x * t_1)) + (y3 * ((c * y4) - (a * 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(a * b) - Float64(c * i))
	t_2 = Float64(Float64(Float64(Float64(Float64(Float64(t_1 * Float64(Float64(x * y) - Float64(z * t))) - Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(Float64(b * y0) - Float64(i * y1)))) + Float64(Float64(Float64(x * y2) - Float64(z * y3)) * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(Float64(Float64(b * y4) - Float64(i * y5)) * 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(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * t_1)) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * 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 = (a * b) - (c * i);
	t_2 = (((((t_1 * ((x * y) - (z * t))) - (((x * j) - (z * k)) * ((b * y0) - (i * y1)))) + (((x * y2) - (z * y3)) * ((c * y0) - (a * y1)))) + (((b * y4) - (i * y5)) * ((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 = y * (((k * ((i * y5) - (b * y4))) + (x * t_1)) + (y3 * ((c * y4) - (a * 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[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(N[(N[(N[(N[(t$95$1 * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $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[(N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision] * 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[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $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 89.5%

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

   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. Add Preprocessing

   3. Taylor expanded in y around inf 39.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 55.1%

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

Alternative 3: 40.9% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot k - x \cdot j\\ t_2 := c \cdot y0 - a \cdot y1\\ t_3 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t\_2\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_4 := y1 \cdot y4 - y0 \cdot y5\\ t_5 := x \cdot y2 - z \cdot y3\\ t_6 := y0 \cdot \left(\left(c \cdot t\_5 + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot t\_1\right)\\ t_7 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot t\_4 + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ t_8 := x \cdot y - z \cdot t\\ \mathbf{if}\;k \leq -3.4 \cdot 10^{+270}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.35 \cdot 10^{+120}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;k \leq -1.45 \cdot 10^{+42}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;k \leq -9.8 \cdot 10^{-54}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_8 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot t\_1\right)\\ \mathbf{elif}\;k \leq -1.6 \cdot 10^{-84}:\\ \;\;\;\;c \cdot \left(y0 \cdot t\_5\right)\\ \mathbf{elif}\;k \leq -2.9 \cdot 10^{-142}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;k \leq -1.3 \cdot 10^{-150}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;k \leq -9 \cdot 10^{-203}:\\ \;\;\;\;\left(a \cdot y3\right) \cdot \left(z \cdot y1 - y \cdot y5\right)\\ \mathbf{elif}\;k \leq -3.4 \cdot 10^{-273}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;k \leq 3.3 \cdot 10^{-90}:\\ \;\;\;\;a \cdot \left(b \cdot t\_8 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 64000000000:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_4 + x \cdot t\_2\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 6 \cdot 10^{+84}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;k \leq 3.5 \cdot 10^{+98} \lor \neg \left(k \leq 2.2 \cdot 10^{+148}\right):\\ \;\;\;\;t\_7\\ \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 (- (* z k) (* x j)))
        (t_2 (- (* c y0) (* a y1)))
        (t_3
         (*
          x
          (+
           (+ (* y (- (* a b) (* c i))) (* y2 t_2))
           (* j (- (* i y1) (* b y0))))))
        (t_4 (- (* y1 y4) (* y0 y5)))
        (t_5 (- (* x y2) (* z y3)))
        (t_6 (* y0 (+ (+ (* c t_5) (* y5 (- (* j y3) (* k y2)))) (* b t_1))))
        (t_7
         (*
          k
          (+
           (* z (- (* b y0) (* i y1)))
           (+ (* y2 t_4) (* y (- (* i y5) (* b y4)))))))
        (t_8 (- (* x y) (* z t))))
   (if (<= k -3.4e+270)
     (* a (* x (- (* y b) (* y1 y2))))
     (if (<= k -2.35e+120)
       t_7
       (if (<= k -1.45e+42)
         t_6
         (if (<= k -9.8e-54)
           (* b (+ (+ (* a t_8) (* y4 (- (* t j) (* y k)))) (* y0 t_1)))
           (if (<= k -1.6e-84)
             (* c (* y0 t_5))
             (if (<= k -2.9e-142)
               t_3
               (if (<= k -1.3e-150)
                 (* y0 (* y3 (- (* j y5) (* z c))))
                 (if (<= k -9e-203)
                   (* (* a y3) (- (* z y1) (* y y5)))
                   (if (<= k -3.4e-273)
                     t_3
                     (if (<= k 3.3e-90)
                       (* a (+ (* b t_8) (* y1 (- (* z y3) (* x y2)))))
                       (if (<= k 64000000000.0)
                         (*
                          y2
                          (+
                           (+ (* k t_4) (* x t_2))
                           (* t (- (* a y5) (* c y4)))))
                         (if (<= k 6e+84)
                           (* (- (* x j) (* z k)) (* i y1))
                           (if (or (<= k 3.5e+98) (not (<= k 2.2e+148)))
                             t_7
                             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 = (z * k) - (x * j);
	double t_2 = (c * y0) - (a * y1);
	double t_3 = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = (x * y2) - (z * y3);
	double t_6 = y0 * (((c * t_5) + (y5 * ((j * y3) - (k * y2)))) + (b * t_1));
	double t_7 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * t_4) + (y * ((i * y5) - (b * y4)))));
	double t_8 = (x * y) - (z * t);
	double tmp;
	if (k <= -3.4e+270) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -2.35e+120) {
		tmp = t_7;
	} else if (k <= -1.45e+42) {
		tmp = t_6;
	} else if (k <= -9.8e-54) {
		tmp = b * (((a * t_8) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	} else if (k <= -1.6e-84) {
		tmp = c * (y0 * t_5);
	} else if (k <= -2.9e-142) {
		tmp = t_3;
	} else if (k <= -1.3e-150) {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	} else if (k <= -9e-203) {
		tmp = (a * y3) * ((z * y1) - (y * y5));
	} else if (k <= -3.4e-273) {
		tmp = t_3;
	} else if (k <= 3.3e-90) {
		tmp = a * ((b * t_8) + (y1 * ((z * y3) - (x * y2))));
	} else if (k <= 64000000000.0) {
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	} else if (k <= 6e+84) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if ((k <= 3.5e+98) || !(k <= 2.2e+148)) {
		tmp = t_7;
	} 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 = (z * k) - (x * j)
    t_2 = (c * y0) - (a * y1)
    t_3 = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))))
    t_4 = (y1 * y4) - (y0 * y5)
    t_5 = (x * y2) - (z * y3)
    t_6 = y0 * (((c * t_5) + (y5 * ((j * y3) - (k * y2)))) + (b * t_1))
    t_7 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * t_4) + (y * ((i * y5) - (b * y4)))))
    t_8 = (x * y) - (z * t)
    if (k <= (-3.4d+270)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (k <= (-2.35d+120)) then
        tmp = t_7
    else if (k <= (-1.45d+42)) then
        tmp = t_6
    else if (k <= (-9.8d-54)) then
        tmp = b * (((a * t_8) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1))
    else if (k <= (-1.6d-84)) then
        tmp = c * (y0 * t_5)
    else if (k <= (-2.9d-142)) then
        tmp = t_3
    else if (k <= (-1.3d-150)) then
        tmp = y0 * (y3 * ((j * y5) - (z * c)))
    else if (k <= (-9d-203)) then
        tmp = (a * y3) * ((z * y1) - (y * y5))
    else if (k <= (-3.4d-273)) then
        tmp = t_3
    else if (k <= 3.3d-90) then
        tmp = a * ((b * t_8) + (y1 * ((z * y3) - (x * y2))))
    else if (k <= 64000000000.0d0) then
        tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
    else if (k <= 6d+84) then
        tmp = ((x * j) - (z * k)) * (i * y1)
    else if ((k <= 3.5d+98) .or. (.not. (k <= 2.2d+148))) then
        tmp = t_7
    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 = (z * k) - (x * j);
	double t_2 = (c * y0) - (a * y1);
	double t_3 = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = (x * y2) - (z * y3);
	double t_6 = y0 * (((c * t_5) + (y5 * ((j * y3) - (k * y2)))) + (b * t_1));
	double t_7 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * t_4) + (y * ((i * y5) - (b * y4)))));
	double t_8 = (x * y) - (z * t);
	double tmp;
	if (k <= -3.4e+270) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -2.35e+120) {
		tmp = t_7;
	} else if (k <= -1.45e+42) {
		tmp = t_6;
	} else if (k <= -9.8e-54) {
		tmp = b * (((a * t_8) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	} else if (k <= -1.6e-84) {
		tmp = c * (y0 * t_5);
	} else if (k <= -2.9e-142) {
		tmp = t_3;
	} else if (k <= -1.3e-150) {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	} else if (k <= -9e-203) {
		tmp = (a * y3) * ((z * y1) - (y * y5));
	} else if (k <= -3.4e-273) {
		tmp = t_3;
	} else if (k <= 3.3e-90) {
		tmp = a * ((b * t_8) + (y1 * ((z * y3) - (x * y2))));
	} else if (k <= 64000000000.0) {
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	} else if (k <= 6e+84) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if ((k <= 3.5e+98) || !(k <= 2.2e+148)) {
		tmp = t_7;
	} 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 = (z * k) - (x * j)
	t_2 = (c * y0) - (a * y1)
	t_3 = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))))
	t_4 = (y1 * y4) - (y0 * y5)
	t_5 = (x * y2) - (z * y3)
	t_6 = y0 * (((c * t_5) + (y5 * ((j * y3) - (k * y2)))) + (b * t_1))
	t_7 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * t_4) + (y * ((i * y5) - (b * y4)))))
	t_8 = (x * y) - (z * t)
	tmp = 0
	if k <= -3.4e+270:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif k <= -2.35e+120:
		tmp = t_7
	elif k <= -1.45e+42:
		tmp = t_6
	elif k <= -9.8e-54:
		tmp = b * (((a * t_8) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1))
	elif k <= -1.6e-84:
		tmp = c * (y0 * t_5)
	elif k <= -2.9e-142:
		tmp = t_3
	elif k <= -1.3e-150:
		tmp = y0 * (y3 * ((j * y5) - (z * c)))
	elif k <= -9e-203:
		tmp = (a * y3) * ((z * y1) - (y * y5))
	elif k <= -3.4e-273:
		tmp = t_3
	elif k <= 3.3e-90:
		tmp = a * ((b * t_8) + (y1 * ((z * y3) - (x * y2))))
	elif k <= 64000000000.0:
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
	elif k <= 6e+84:
		tmp = ((x * j) - (z * k)) * (i * y1)
	elif (k <= 3.5e+98) or not (k <= 2.2e+148):
		tmp = t_7
	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(z * k) - Float64(x * j))
	t_2 = Float64(Float64(c * y0) - Float64(a * y1))
	t_3 = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_2)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_4 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_5 = Float64(Float64(x * y2) - Float64(z * y3))
	t_6 = Float64(y0 * Float64(Float64(Float64(c * t_5) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * t_1)))
	t_7 = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y2 * t_4) + Float64(y * Float64(Float64(i * y5) - Float64(b * y4))))))
	t_8 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (k <= -3.4e+270)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (k <= -2.35e+120)
		tmp = t_7;
	elseif (k <= -1.45e+42)
		tmp = t_6;
	elseif (k <= -9.8e-54)
		tmp = Float64(b * Float64(Float64(Float64(a * t_8) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * t_1)));
	elseif (k <= -1.6e-84)
		tmp = Float64(c * Float64(y0 * t_5));
	elseif (k <= -2.9e-142)
		tmp = t_3;
	elseif (k <= -1.3e-150)
		tmp = Float64(y0 * Float64(y3 * Float64(Float64(j * y5) - Float64(z * c))));
	elseif (k <= -9e-203)
		tmp = Float64(Float64(a * y3) * Float64(Float64(z * y1) - Float64(y * y5)));
	elseif (k <= -3.4e-273)
		tmp = t_3;
	elseif (k <= 3.3e-90)
		tmp = Float64(a * Float64(Float64(b * t_8) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (k <= 64000000000.0)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_4) + Float64(x * t_2)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (k <= 6e+84)
		tmp = Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(i * y1));
	elseif ((k <= 3.5e+98) || !(k <= 2.2e+148))
		tmp = t_7;
	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 = (z * k) - (x * j);
	t_2 = (c * y0) - (a * y1);
	t_3 = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * y0))));
	t_4 = (y1 * y4) - (y0 * y5);
	t_5 = (x * y2) - (z * y3);
	t_6 = y0 * (((c * t_5) + (y5 * ((j * y3) - (k * y2)))) + (b * t_1));
	t_7 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * t_4) + (y * ((i * y5) - (b * y4)))));
	t_8 = (x * y) - (z * t);
	tmp = 0.0;
	if (k <= -3.4e+270)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (k <= -2.35e+120)
		tmp = t_7;
	elseif (k <= -1.45e+42)
		tmp = t_6;
	elseif (k <= -9.8e-54)
		tmp = b * (((a * t_8) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	elseif (k <= -1.6e-84)
		tmp = c * (y0 * t_5);
	elseif (k <= -2.9e-142)
		tmp = t_3;
	elseif (k <= -1.3e-150)
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	elseif (k <= -9e-203)
		tmp = (a * y3) * ((z * y1) - (y * y5));
	elseif (k <= -3.4e-273)
		tmp = t_3;
	elseif (k <= 3.3e-90)
		tmp = a * ((b * t_8) + (y1 * ((z * y3) - (x * y2))));
	elseif (k <= 64000000000.0)
		tmp = y2 * (((k * t_4) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	elseif (k <= 6e+84)
		tmp = ((x * j) - (z * k)) * (i * y1);
	elseif ((k <= 3.5e+98) || ~((k <= 2.2e+148)))
		tmp = t_7;
	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[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(j * 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[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y0 * N[(N[(N[(c * t$95$5), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y2 * t$95$4), $MachinePrecision] + N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -3.4e+270], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.35e+120], t$95$7, If[LessEqual[k, -1.45e+42], t$95$6, If[LessEqual[k, -9.8e-54], N[(b * N[(N[(N[(a * t$95$8), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.6e-84], N[(c * N[(y0 * t$95$5), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.9e-142], t$95$3, If[LessEqual[k, -1.3e-150], N[(y0 * N[(y3 * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -9e-203], N[(N[(a * y3), $MachinePrecision] * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3.4e-273], t$95$3, If[LessEqual[k, 3.3e-90], N[(a * N[(N[(b * t$95$8), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 64000000000.0], N[(y2 * N[(N[(N[(k * t$95$4), $MachinePrecision] + N[(x * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 6e+84], N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(i * y1), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[k, 3.5e+98], N[Not[LessEqual[k, 2.2e+148]], $MachinePrecision]], t$95$7, t$95$6]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if k < -3.40000000000000016e270

   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. Add Preprocessing

   3. Taylor expanded in a around inf 29.5%

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

   4. Taylor expanded in x around inf 51.0%

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

      1. +-commutative 51.0%

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

      2. mul-1-neg 51.0%

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

      3. unsub-neg 51.0%

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

      4. *-commutative 51.0%

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

      5. *-commutative 51.0%

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

   6. Simplified 51.0%

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

   if -3.40000000000000016e270 < k < -2.34999999999999997e120 or 5.99999999999999992e84 < k < 3.5e98 or 2.1999999999999999e148 < k

   1. Initial program 21.8%

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

   3. Taylor expanded in k around inf 74.9%

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

      1. sub-neg 74.9%

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

      2. +-commutative 74.9%

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

      3. mul-1-neg 74.9%

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

      4. unsub-neg 74.9%

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

      5. *-commutative 74.9%

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

      6. mul-1-neg 74.9%

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

      7. remove-double-neg 74.9%

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

   5. Simplified 74.9%

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

   if -2.34999999999999997e120 < k < -1.4499999999999999e42 or 3.5e98 < k < 2.1999999999999999e148

   1. Initial program 43.5%

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

   3. Taylor expanded in y0 around inf 70.5%

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

      1. +-commutative 70.5%

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

      2. mul-1-neg 70.5%

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

      3. unsub-neg 70.5%

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

      4. *-commutative 70.5%

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

      5. *-commutative 70.5%

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

      6. *-commutative 70.5%

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

      7. *-commutative 70.5%

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

   5. Simplified 70.5%

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

   if -1.4499999999999999e42 < k < -9.80000000000000042e-54

   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. Add Preprocessing

   3. Taylor expanded in b around inf 60.6%

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

   if -9.80000000000000042e-54 < k < -1.6e-84

   1. Initial program 22.2%

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

   3. Taylor expanded in y0 around inf 67.3%

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

      1. +-commutative 67.3%

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

      2. mul-1-neg 67.3%

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

      3. unsub-neg 67.3%

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

      4. *-commutative 67.3%

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

      5. *-commutative 67.3%

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

      6. *-commutative 67.3%

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

      7. *-commutative 67.3%

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

   5. Simplified 67.3%

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

   6. Taylor expanded in c around inf 68.1%

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

   if -1.6e-84 < k < -2.8999999999999999e-142 or -9.0000000000000003e-203 < k < -3.39999999999999991e-273

   1. Initial program 21.1%

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

   3. Taylor expanded in x around inf 67.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -2.8999999999999999e-142 < k < -1.2999999999999999e-150

   1. Initial program 50.0%

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

   3. Taylor expanded in y0 around inf 52.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. 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%

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

      5. *-commutative 52.5%

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

      6. *-commutative 52.5%

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

      7. *-commutative 52.5%

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

   5. Simplified 52.5%

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

   6. Taylor expanded in y3 around inf 100.0%

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

      1. cancel-sign-sub-inv 100.0%

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

      2. metadata-eval 100.0%

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

      3. *-lft-identity 100.0%

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

      4. +-commutative 100.0%

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

      5. mul-1-neg 100.0%

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

      6. unsub-neg 100.0%

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

      7. *-commutative 100.0%

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

   8. Simplified 100.0%

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

   if -1.2999999999999999e-150 < k < -9.0000000000000003e-203

   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. Add Preprocessing

   3. Taylor expanded in a around inf 31.3%

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

   4. Taylor expanded in y3 around inf 51.1%

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

      1. associate-*r* 51.2%

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

      2. *-commutative 51.2%

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

   6. Simplified 51.2%

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

   if -3.39999999999999991e-273 < k < 3.3e-90

   1. Initial program 43.5%

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

   3. Taylor expanded in a around inf 54.1%

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

   4. Taylor expanded in y5 around 0 48.7%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 48.7%

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

      2. mul-1-neg 48.7%

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

      3. *-commutative 48.7%

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

      4. unsub-neg 48.7%

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

      5. cancel-sign-sub-inv 48.7%

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

      6. *-commutative 48.7%

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

      7. cancel-sign-sub-inv 48.7%

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

   6. Simplified 48.7%

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

   if 3.3e-90 < k < 6.4e10

   1. Initial program 29.9%

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

   3. Taylor expanded in y2 around inf 60.5%

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

   if 6.4e10 < k < 5.99999999999999992e84

   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. Add Preprocessing

   3. Taylor expanded in i around -inf 57.1%

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

   4. Taylor expanded in y1 around inf 85.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 85.7%

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

      2. *-commutative 85.7%

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

   6. Simplified 85.7%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y1\right) \cdot \left(k \cdot z - x \cdot j\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 64.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -3.4 \cdot 10^{+270}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.35 \cdot 10^{+120}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;k \leq -1.45 \cdot 10^{+42}:\\ \;\;\;\;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 -9.8 \cdot 10^{-54}:\\ \;\;\;\;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 -1.6 \cdot 10^{-84}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -2.9 \cdot 10^{-142}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -1.3 \cdot 10^{-150}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;k \leq -9 \cdot 10^{-203}:\\ \;\;\;\;\left(a \cdot y3\right) \cdot \left(z \cdot y1 - y \cdot y5\right)\\ \mathbf{elif}\;k \leq -3.4 \cdot 10^{-273}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 3.3 \cdot 10^{-90}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 64000000000:\\ \;\;\;\;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}\;k \leq 6 \cdot 10^{+84}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;k \leq 3.5 \cdot 10^{+98} \lor \neg \left(k \leq 2.2 \cdot 10^{+148}\right):\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;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)\\ \end{array} \]
5. Add Preprocessing

Alternative 4: 38.2% accurate, 1.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot k - x \cdot j\\ t_2 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ t_3 := x \cdot y - z \cdot t\\ t_4 := z \cdot y3 - x \cdot y2\\ t_5 := y1 \cdot t\_4\\ t_6 := \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ t_7 := y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot t\_1\right)\\ \mathbf{if}\;y1 \leq -2.1 \cdot 10^{+245}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y1 \leq -4.9 \cdot 10^{+89}:\\ \;\;\;\;a \cdot \left(b \cdot t\_3 + t\_5\right)\\ \mathbf{elif}\;y1 \leq -7.2 \cdot 10^{-85}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;y1 \leq 2.6 \cdot 10^{-300}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_3 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot t\_1\right)\\ \mathbf{elif}\;y1 \leq 2.5 \cdot 10^{-216}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;y1 \leq 1.58 \cdot 10^{-28}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y1 \leq 1.85 \cdot 10^{+45}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;y1 \leq 8 \cdot 10^{+93}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y1 \leq 7.3 \cdot 10^{+133}:\\ \;\;\;\;\left(a \cdot y1\right) \cdot t\_4\\ \mathbf{elif}\;y1 \leq 6.5 \cdot 10^{+217}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y1 \leq 7.5 \cdot 10^{+260}:\\ \;\;\;\;a \cdot t\_5\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* z k) (* x j)))
        (t_2
         (*
          k
          (+
           (* z (- (* b y0) (* i y1)))
           (+ (* y2 (- (* y1 y4) (* y0 y5))) (* y (- (* i y5) (* b y4)))))))
        (t_3 (- (* x y) (* z t)))
        (t_4 (- (* z y3) (* x y2)))
        (t_5 (* y1 t_4))
        (t_6 (* (- (* x j) (* z k)) (* i y1)))
        (t_7
         (*
          y0
          (+
           (+ (* c (- (* x y2) (* z y3))) (* y5 (- (* j y3) (* k y2))))
           (* b t_1)))))
   (if (<= y1 -2.1e+245)
     t_6
     (if (<= y1 -4.9e+89)
       (* a (+ (* b t_3) t_5))
       (if (<= y1 -7.2e-85)
         t_7
         (if (<= y1 2.6e-300)
           (* b (+ (+ (* a t_3) (* y4 (- (* t j) (* y k)))) (* y0 t_1)))
           (if (<= y1 2.5e-216)
             t_7
             (if (<= y1 1.58e-28)
               t_2
               (if (<= y1 1.85e+45)
                 t_7
                 (if (<= y1 8e+93)
                   t_6
                   (if (<= y1 7.3e+133)
                     (* (* a y1) t_4)
                     (if (<= y1 6.5e+217)
                       t_6
                       (if (<= y1 7.5e+260) (* a t_5) 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 = (z * k) - (x * j);
	double t_2 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	double t_3 = (x * y) - (z * t);
	double t_4 = (z * y3) - (x * y2);
	double t_5 = y1 * t_4;
	double t_6 = ((x * j) - (z * k)) * (i * y1);
	double t_7 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * t_1));
	double tmp;
	if (y1 <= -2.1e+245) {
		tmp = t_6;
	} else if (y1 <= -4.9e+89) {
		tmp = a * ((b * t_3) + t_5);
	} else if (y1 <= -7.2e-85) {
		tmp = t_7;
	} else if (y1 <= 2.6e-300) {
		tmp = b * (((a * t_3) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	} else if (y1 <= 2.5e-216) {
		tmp = t_7;
	} else if (y1 <= 1.58e-28) {
		tmp = t_2;
	} else if (y1 <= 1.85e+45) {
		tmp = t_7;
	} else if (y1 <= 8e+93) {
		tmp = t_6;
	} else if (y1 <= 7.3e+133) {
		tmp = (a * y1) * t_4;
	} else if (y1 <= 6.5e+217) {
		tmp = t_6;
	} else if (y1 <= 7.5e+260) {
		tmp = a * t_5;
	} 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) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (z * k) - (x * j)
    t_2 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))))
    t_3 = (x * y) - (z * t)
    t_4 = (z * y3) - (x * y2)
    t_5 = y1 * t_4
    t_6 = ((x * j) - (z * k)) * (i * y1)
    t_7 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * t_1))
    if (y1 <= (-2.1d+245)) then
        tmp = t_6
    else if (y1 <= (-4.9d+89)) then
        tmp = a * ((b * t_3) + t_5)
    else if (y1 <= (-7.2d-85)) then
        tmp = t_7
    else if (y1 <= 2.6d-300) then
        tmp = b * (((a * t_3) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1))
    else if (y1 <= 2.5d-216) then
        tmp = t_7
    else if (y1 <= 1.58d-28) then
        tmp = t_2
    else if (y1 <= 1.85d+45) then
        tmp = t_7
    else if (y1 <= 8d+93) then
        tmp = t_6
    else if (y1 <= 7.3d+133) then
        tmp = (a * y1) * t_4
    else if (y1 <= 6.5d+217) then
        tmp = t_6
    else if (y1 <= 7.5d+260) then
        tmp = a * t_5
    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 = (z * k) - (x * j);
	double t_2 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	double t_3 = (x * y) - (z * t);
	double t_4 = (z * y3) - (x * y2);
	double t_5 = y1 * t_4;
	double t_6 = ((x * j) - (z * k)) * (i * y1);
	double t_7 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * t_1));
	double tmp;
	if (y1 <= -2.1e+245) {
		tmp = t_6;
	} else if (y1 <= -4.9e+89) {
		tmp = a * ((b * t_3) + t_5);
	} else if (y1 <= -7.2e-85) {
		tmp = t_7;
	} else if (y1 <= 2.6e-300) {
		tmp = b * (((a * t_3) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	} else if (y1 <= 2.5e-216) {
		tmp = t_7;
	} else if (y1 <= 1.58e-28) {
		tmp = t_2;
	} else if (y1 <= 1.85e+45) {
		tmp = t_7;
	} else if (y1 <= 8e+93) {
		tmp = t_6;
	} else if (y1 <= 7.3e+133) {
		tmp = (a * y1) * t_4;
	} else if (y1 <= 6.5e+217) {
		tmp = t_6;
	} else if (y1 <= 7.5e+260) {
		tmp = a * t_5;
	} 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 = (z * k) - (x * j)
	t_2 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))))
	t_3 = (x * y) - (z * t)
	t_4 = (z * y3) - (x * y2)
	t_5 = y1 * t_4
	t_6 = ((x * j) - (z * k)) * (i * y1)
	t_7 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * t_1))
	tmp = 0
	if y1 <= -2.1e+245:
		tmp = t_6
	elif y1 <= -4.9e+89:
		tmp = a * ((b * t_3) + t_5)
	elif y1 <= -7.2e-85:
		tmp = t_7
	elif y1 <= 2.6e-300:
		tmp = b * (((a * t_3) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1))
	elif y1 <= 2.5e-216:
		tmp = t_7
	elif y1 <= 1.58e-28:
		tmp = t_2
	elif y1 <= 1.85e+45:
		tmp = t_7
	elif y1 <= 8e+93:
		tmp = t_6
	elif y1 <= 7.3e+133:
		tmp = (a * y1) * t_4
	elif y1 <= 6.5e+217:
		tmp = t_6
	elif y1 <= 7.5e+260:
		tmp = a * t_5
	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(z * k) - Float64(x * j))
	t_2 = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(y * Float64(Float64(i * y5) - Float64(b * y4))))))
	t_3 = Float64(Float64(x * y) - Float64(z * t))
	t_4 = Float64(Float64(z * y3) - Float64(x * y2))
	t_5 = Float64(y1 * t_4)
	t_6 = Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(i * y1))
	t_7 = Float64(y0 * Float64(Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * t_1)))
	tmp = 0.0
	if (y1 <= -2.1e+245)
		tmp = t_6;
	elseif (y1 <= -4.9e+89)
		tmp = Float64(a * Float64(Float64(b * t_3) + t_5));
	elseif (y1 <= -7.2e-85)
		tmp = t_7;
	elseif (y1 <= 2.6e-300)
		tmp = Float64(b * Float64(Float64(Float64(a * t_3) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * t_1)));
	elseif (y1 <= 2.5e-216)
		tmp = t_7;
	elseif (y1 <= 1.58e-28)
		tmp = t_2;
	elseif (y1 <= 1.85e+45)
		tmp = t_7;
	elseif (y1 <= 8e+93)
		tmp = t_6;
	elseif (y1 <= 7.3e+133)
		tmp = Float64(Float64(a * y1) * t_4);
	elseif (y1 <= 6.5e+217)
		tmp = t_6;
	elseif (y1 <= 7.5e+260)
		tmp = Float64(a * t_5);
	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 = (z * k) - (x * j);
	t_2 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	t_3 = (x * y) - (z * t);
	t_4 = (z * y3) - (x * y2);
	t_5 = y1 * t_4;
	t_6 = ((x * j) - (z * k)) * (i * y1);
	t_7 = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * t_1));
	tmp = 0.0;
	if (y1 <= -2.1e+245)
		tmp = t_6;
	elseif (y1 <= -4.9e+89)
		tmp = a * ((b * t_3) + t_5);
	elseif (y1 <= -7.2e-85)
		tmp = t_7;
	elseif (y1 <= 2.6e-300)
		tmp = b * (((a * t_3) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	elseif (y1 <= 2.5e-216)
		tmp = t_7;
	elseif (y1 <= 1.58e-28)
		tmp = t_2;
	elseif (y1 <= 1.85e+45)
		tmp = t_7;
	elseif (y1 <= 8e+93)
		tmp = t_6;
	elseif (y1 <= 7.3e+133)
		tmp = (a * y1) * t_4;
	elseif (y1 <= 6.5e+217)
		tmp = t_6;
	elseif (y1 <= 7.5e+260)
		tmp = a * t_5;
	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[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y1 * t$95$4), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(i * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = 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 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -2.1e+245], t$95$6, If[LessEqual[y1, -4.9e+89], N[(a * N[(N[(b * t$95$3), $MachinePrecision] + t$95$5), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -7.2e-85], t$95$7, If[LessEqual[y1, 2.6e-300], N[(b * N[(N[(N[(a * t$95$3), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.5e-216], t$95$7, If[LessEqual[y1, 1.58e-28], t$95$2, If[LessEqual[y1, 1.85e+45], t$95$7, If[LessEqual[y1, 8e+93], t$95$6, If[LessEqual[y1, 7.3e+133], N[(N[(a * y1), $MachinePrecision] * t$95$4), $MachinePrecision], If[LessEqual[y1, 6.5e+217], t$95$6, If[LessEqual[y1, 7.5e+260], N[(a * t$95$5), $MachinePrecision], t$95$2]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y1 < -2.09999999999999996e245 or 1.84999999999999989e45 < y1 < 8.00000000000000035e93 or 7.3e133 < y1 < 6.50000000000000005e217

   1. Initial program 18.0%

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

   3. Taylor expanded in i around -inf 47.1%

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

   4. Taylor expanded in y1 around inf 59.8%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 61.4%

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

      2. *-commutative 61.4%

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

   6. Simplified 61.4%

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

   if -2.09999999999999996e245 < y1 < -4.89999999999999996e89

   1. Initial program 30.7%

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

   3. Taylor expanded in a around inf 41.2%

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

   4. Taylor expanded in y5 around 0 57.0%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 57.0%

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

      2. mul-1-neg 57.0%

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

      3. *-commutative 57.0%

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

      4. unsub-neg 57.0%

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

      5. cancel-sign-sub-inv 57.0%

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

      6. *-commutative 57.0%

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

      7. cancel-sign-sub-inv 57.0%

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

   6. Simplified 57.0%

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

   if -4.89999999999999996e89 < y1 < -7.1999999999999996e-85 or 2.59999999999999997e-300 < y1 < 2.5000000000000001e-216 or 1.58000000000000002e-28 < y1 < 1.84999999999999989e45

   1. Initial program 27.5%

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

   3. Taylor expanded in y0 around inf 56.3%

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

      1. +-commutative 56.3%

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

      2. mul-1-neg 56.3%

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

      3. unsub-neg 56.3%

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

      4. *-commutative 56.3%

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

      5. *-commutative 56.3%

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

      6. *-commutative 56.3%

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

      7. *-commutative 56.3%

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

   5. Simplified 56.3%

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

   if -7.1999999999999996e-85 < y1 < 2.59999999999999997e-300

   1. Initial program 41.2%

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

   3. Taylor expanded in b around inf 56.9%

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

   if 2.5000000000000001e-216 < y1 < 1.58000000000000002e-28 or 7.49999999999999947e260 < y1

   1. Initial program 29.4%

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

   3. Taylor expanded in k around inf 62.8%

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

      1. sub-neg 62.8%

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

      2. +-commutative 62.8%

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

      3. mul-1-neg 62.8%

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

      4. unsub-neg 62.8%

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

      5. *-commutative 62.8%

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

      6. mul-1-neg 62.8%

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

      7. remove-double-neg 62.8%

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

   5. Simplified 62.8%

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

   if 8.00000000000000035e93 < y1 < 7.3e133

   1. Initial program 22.2%

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

   3. Taylor expanded in a around inf 57.0%

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

   4. Taylor expanded in y5 around 0 56.1%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 56.1%

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

      2. mul-1-neg 56.1%

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

      3. *-commutative 56.1%

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

      4. unsub-neg 56.1%

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

      5. cancel-sign-sub-inv 56.1%

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

      6. *-commutative 56.1%

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

      7. cancel-sign-sub-inv 56.1%

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

   6. Simplified 56.1%

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

   7. Taylor expanded in y1 around inf 67.8%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z - x \cdot y2\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 67.8%

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

      2. *-commutative 67.8%

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

      3. associate-*l* 78.3%

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

   9. Simplified 78.3%

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

   if 6.50000000000000005e217 < y1 < 7.49999999999999947e260

   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. Add Preprocessing

   3. Taylor expanded in a around inf 55.6%

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

   4. Taylor expanded in y1 around inf 61.7%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 61.7%

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

      2. neg-mul-1 61.7%

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

      3. *-commutative 61.7%

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

   6. Simplified 61.7%

      \[\leadsto \color{blue}{\left(-a\right) \cdot \left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 59.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -2.1 \cdot 10^{+245}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y1 \leq -4.9 \cdot 10^{+89}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -7.2 \cdot 10^{-85}:\\ \;\;\;\;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}\;y1 \leq 2.6 \cdot 10^{-300}:\\ \;\;\;\;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}\;y1 \leq 2.5 \cdot 10^{-216}:\\ \;\;\;\;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}\;y1 \leq 1.58 \cdot 10^{-28}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;y1 \leq 1.85 \cdot 10^{+45}:\\ \;\;\;\;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}\;y1 \leq 8 \cdot 10^{+93}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y1 \leq 7.3 \cdot 10^{+133}:\\ \;\;\;\;\left(a \cdot y1\right) \cdot \left(z \cdot y3 - x \cdot y2\right)\\ \mathbf{elif}\;y1 \leq 6.5 \cdot 10^{+217}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y1 \leq 7.5 \cdot 10^{+260}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 5: 41.5% accurate, 1.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := t \cdot j - y \cdot k\\ t_3 := z \cdot k - x \cdot j\\ t_4 := x \cdot y2 - z \cdot y3\\ t_5 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ t_6 := x \cdot y - z \cdot t\\ \mathbf{if}\;k \leq -3.4 \cdot 10^{+270}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.65 \cdot 10^{+122}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;k \leq -5.4 \cdot 10^{+39}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t\_4 + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot t\_3\right)\\ \mathbf{elif}\;k \leq -7.9 \cdot 10^{-56}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_6 + y4 \cdot t\_2\right) + y0 \cdot t\_3\right)\\ \mathbf{elif}\;k \leq -3.05 \cdot 10^{-83}:\\ \;\;\;\;c \cdot \left(y0 \cdot t\_4\right)\\ \mathbf{elif}\;k \leq -2.2 \cdot 10^{-142}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -1 \cdot 10^{-149}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{-205}:\\ \;\;\;\;\left(a \cdot y3\right) \cdot \left(z \cdot y1 - y \cdot y5\right)\\ \mathbf{elif}\;k \leq -2.8 \cdot 10^{-272}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{-194}:\\ \;\;\;\;a \cdot \left(b \cdot t\_6 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 5 \cdot 10^{+28}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t\_2 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          x
          (+
           (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
           (* j (- (* i y1) (* b y0))))))
        (t_2 (- (* t j) (* y k)))
        (t_3 (- (* z k) (* x j)))
        (t_4 (- (* x y2) (* z y3)))
        (t_5
         (*
          k
          (+
           (* z (- (* b y0) (* i y1)))
           (+ (* y2 (- (* y1 y4) (* y0 y5))) (* y (- (* i y5) (* b y4)))))))
        (t_6 (- (* x y) (* z t))))
   (if (<= k -3.4e+270)
     (* a (* x (- (* y b) (* y1 y2))))
     (if (<= k -1.65e+122)
       t_5
       (if (<= k -5.4e+39)
         (* y0 (+ (+ (* c t_4) (* y5 (- (* j y3) (* k y2)))) (* b t_3)))
         (if (<= k -7.9e-56)
           (* b (+ (+ (* a t_6) (* y4 t_2)) (* y0 t_3)))
           (if (<= k -3.05e-83)
             (* c (* y0 t_4))
             (if (<= k -2.2e-142)
               t_1
               (if (<= k -1e-149)
                 (* y0 (* y3 (- (* j y5) (* z c))))
                 (if (<= k -7.2e-205)
                   (* (* a y3) (- (* z y1) (* y y5)))
                   (if (<= k -2.8e-272)
                     t_1
                     (if (<= k 1.25e-194)
                       (* a (+ (* b t_6) (* y1 (- (* z y3) (* x y2)))))
                       (if (<= k 5e+28)
                         (*
                          y4
                          (+
                           (+ (* b t_2) (* y1 (- (* k y2) (* j y3))))
                           (* c (- (* y y3) (* t y2)))))
                         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 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double t_2 = (t * j) - (y * k);
	double t_3 = (z * k) - (x * j);
	double t_4 = (x * y2) - (z * y3);
	double t_5 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	double t_6 = (x * y) - (z * t);
	double tmp;
	if (k <= -3.4e+270) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -1.65e+122) {
		tmp = t_5;
	} else if (k <= -5.4e+39) {
		tmp = y0 * (((c * t_4) + (y5 * ((j * y3) - (k * y2)))) + (b * t_3));
	} else if (k <= -7.9e-56) {
		tmp = b * (((a * t_6) + (y4 * t_2)) + (y0 * t_3));
	} else if (k <= -3.05e-83) {
		tmp = c * (y0 * t_4);
	} else if (k <= -2.2e-142) {
		tmp = t_1;
	} else if (k <= -1e-149) {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	} else if (k <= -7.2e-205) {
		tmp = (a * y3) * ((z * y1) - (y * y5));
	} else if (k <= -2.8e-272) {
		tmp = t_1;
	} else if (k <= 1.25e-194) {
		tmp = a * ((b * t_6) + (y1 * ((z * y3) - (x * y2))));
	} else if (k <= 5e+28) {
		tmp = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} 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 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    t_2 = (t * j) - (y * k)
    t_3 = (z * k) - (x * j)
    t_4 = (x * y2) - (z * y3)
    t_5 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))))
    t_6 = (x * y) - (z * t)
    if (k <= (-3.4d+270)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (k <= (-1.65d+122)) then
        tmp = t_5
    else if (k <= (-5.4d+39)) then
        tmp = y0 * (((c * t_4) + (y5 * ((j * y3) - (k * y2)))) + (b * t_3))
    else if (k <= (-7.9d-56)) then
        tmp = b * (((a * t_6) + (y4 * t_2)) + (y0 * t_3))
    else if (k <= (-3.05d-83)) then
        tmp = c * (y0 * t_4)
    else if (k <= (-2.2d-142)) then
        tmp = t_1
    else if (k <= (-1d-149)) then
        tmp = y0 * (y3 * ((j * y5) - (z * c)))
    else if (k <= (-7.2d-205)) then
        tmp = (a * y3) * ((z * y1) - (y * y5))
    else if (k <= (-2.8d-272)) then
        tmp = t_1
    else if (k <= 1.25d-194) then
        tmp = a * ((b * t_6) + (y1 * ((z * y3) - (x * y2))))
    else if (k <= 5d+28) then
        tmp = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    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 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double t_2 = (t * j) - (y * k);
	double t_3 = (z * k) - (x * j);
	double t_4 = (x * y2) - (z * y3);
	double t_5 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	double t_6 = (x * y) - (z * t);
	double tmp;
	if (k <= -3.4e+270) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -1.65e+122) {
		tmp = t_5;
	} else if (k <= -5.4e+39) {
		tmp = y0 * (((c * t_4) + (y5 * ((j * y3) - (k * y2)))) + (b * t_3));
	} else if (k <= -7.9e-56) {
		tmp = b * (((a * t_6) + (y4 * t_2)) + (y0 * t_3));
	} else if (k <= -3.05e-83) {
		tmp = c * (y0 * t_4);
	} else if (k <= -2.2e-142) {
		tmp = t_1;
	} else if (k <= -1e-149) {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	} else if (k <= -7.2e-205) {
		tmp = (a * y3) * ((z * y1) - (y * y5));
	} else if (k <= -2.8e-272) {
		tmp = t_1;
	} else if (k <= 1.25e-194) {
		tmp = a * ((b * t_6) + (y1 * ((z * y3) - (x * y2))));
	} else if (k <= 5e+28) {
		tmp = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} 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 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	t_2 = (t * j) - (y * k)
	t_3 = (z * k) - (x * j)
	t_4 = (x * y2) - (z * y3)
	t_5 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))))
	t_6 = (x * y) - (z * t)
	tmp = 0
	if k <= -3.4e+270:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif k <= -1.65e+122:
		tmp = t_5
	elif k <= -5.4e+39:
		tmp = y0 * (((c * t_4) + (y5 * ((j * y3) - (k * y2)))) + (b * t_3))
	elif k <= -7.9e-56:
		tmp = b * (((a * t_6) + (y4 * t_2)) + (y0 * t_3))
	elif k <= -3.05e-83:
		tmp = c * (y0 * t_4)
	elif k <= -2.2e-142:
		tmp = t_1
	elif k <= -1e-149:
		tmp = y0 * (y3 * ((j * y5) - (z * c)))
	elif k <= -7.2e-205:
		tmp = (a * y3) * ((z * y1) - (y * y5))
	elif k <= -2.8e-272:
		tmp = t_1
	elif k <= 1.25e-194:
		tmp = a * ((b * t_6) + (y1 * ((z * y3) - (x * y2))))
	elif k <= 5e+28:
		tmp = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	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(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_2 = Float64(Float64(t * j) - Float64(y * k))
	t_3 = Float64(Float64(z * k) - Float64(x * j))
	t_4 = Float64(Float64(x * y2) - Float64(z * y3))
	t_5 = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(y * Float64(Float64(i * y5) - Float64(b * y4))))))
	t_6 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (k <= -3.4e+270)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (k <= -1.65e+122)
		tmp = t_5;
	elseif (k <= -5.4e+39)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_4) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * t_3)));
	elseif (k <= -7.9e-56)
		tmp = Float64(b * Float64(Float64(Float64(a * t_6) + Float64(y4 * t_2)) + Float64(y0 * t_3)));
	elseif (k <= -3.05e-83)
		tmp = Float64(c * Float64(y0 * t_4));
	elseif (k <= -2.2e-142)
		tmp = t_1;
	elseif (k <= -1e-149)
		tmp = Float64(y0 * Float64(y3 * Float64(Float64(j * y5) - Float64(z * c))));
	elseif (k <= -7.2e-205)
		tmp = Float64(Float64(a * y3) * Float64(Float64(z * y1) - Float64(y * y5)));
	elseif (k <= -2.8e-272)
		tmp = t_1;
	elseif (k <= 1.25e-194)
		tmp = Float64(a * Float64(Float64(b * t_6) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (k <= 5e+28)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_2) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	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 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	t_2 = (t * j) - (y * k);
	t_3 = (z * k) - (x * j);
	t_4 = (x * y2) - (z * y3);
	t_5 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	t_6 = (x * y) - (z * t);
	tmp = 0.0;
	if (k <= -3.4e+270)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (k <= -1.65e+122)
		tmp = t_5;
	elseif (k <= -5.4e+39)
		tmp = y0 * (((c * t_4) + (y5 * ((j * y3) - (k * y2)))) + (b * t_3));
	elseif (k <= -7.9e-56)
		tmp = b * (((a * t_6) + (y4 * t_2)) + (y0 * t_3));
	elseif (k <= -3.05e-83)
		tmp = c * (y0 * t_4);
	elseif (k <= -2.2e-142)
		tmp = t_1;
	elseif (k <= -1e-149)
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	elseif (k <= -7.2e-205)
		tmp = (a * y3) * ((z * y1) - (y * y5));
	elseif (k <= -2.8e-272)
		tmp = t_1;
	elseif (k <= 1.25e-194)
		tmp = a * ((b * t_6) + (y1 * ((z * y3) - (x * y2))));
	elseif (k <= 5e+28)
		tmp = y4 * (((b * t_2) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	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[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -3.4e+270], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.65e+122], t$95$5, If[LessEqual[k, -5.4e+39], N[(y0 * N[(N[(N[(c * t$95$4), $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, -7.9e-56], N[(b * N[(N[(N[(a * t$95$6), $MachinePrecision] + N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3.05e-83], N[(c * N[(y0 * t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.2e-142], t$95$1, If[LessEqual[k, -1e-149], N[(y0 * N[(y3 * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -7.2e-205], N[(N[(a * y3), $MachinePrecision] * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.8e-272], t$95$1, If[LessEqual[k, 1.25e-194], N[(a * N[(N[(b * t$95$6), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 5e+28], N[(y4 * N[(N[(N[(b * t$95$2), $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], t$95$5]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -3.40000000000000016e270

   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. Add Preprocessing

   3. Taylor expanded in a around inf 29.5%

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

   4. Taylor expanded in x around inf 51.0%

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

      1. +-commutative 51.0%

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

      2. mul-1-neg 51.0%

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

      3. unsub-neg 51.0%

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

      4. *-commutative 51.0%

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

      5. *-commutative 51.0%

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

   6. Simplified 51.0%

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

   if -3.40000000000000016e270 < k < -1.6499999999999999e122 or 4.99999999999999957e28 < k

   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. Add Preprocessing

   3. Taylor expanded in k around inf 68.7%

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

      1. sub-neg 68.7%

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

      2. +-commutative 68.7%

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

      3. mul-1-neg 68.7%

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

      4. unsub-neg 68.7%

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

      5. *-commutative 68.7%

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

      6. mul-1-neg 68.7%

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

      7. remove-double-neg 68.7%

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

   5. Simplified 68.7%

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

   if -1.6499999999999999e122 < k < -5.40000000000000007e39

   1. Initial program 44.7%

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

   3. Taylor expanded in y0 around inf 67.1%

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

      1. +-commutative 67.1%

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

      2. mul-1-neg 67.1%

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

      3. unsub-neg 67.1%

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

      4. *-commutative 67.1%

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

      5. *-commutative 67.1%

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

      6. *-commutative 67.1%

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

      7. *-commutative 67.1%

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

   5. Simplified 67.1%

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

   if -5.40000000000000007e39 < k < -7.90000000000000034e-56

   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. Add Preprocessing

   3. Taylor expanded in b around inf 60.6%

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

   if -7.90000000000000034e-56 < k < -3.05000000000000001e-83

   1. Initial program 22.2%

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

   3. Taylor expanded in y0 around inf 67.3%

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

      1. +-commutative 67.3%

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

      2. mul-1-neg 67.3%

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

      3. unsub-neg 67.3%

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

      4. *-commutative 67.3%

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

      5. *-commutative 67.3%

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

      6. *-commutative 67.3%

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

      7. *-commutative 67.3%

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

   5. Simplified 67.3%

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

   6. Taylor expanded in c around inf 68.1%

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

   if -3.05000000000000001e-83 < k < -2.20000000000000016e-142 or -7.1999999999999997e-205 < k < -2.79999999999999994e-272

   1. Initial program 21.1%

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

   3. Taylor expanded in x around inf 67.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -2.20000000000000016e-142 < k < -9.99999999999999979e-150

   1. Initial program 50.0%

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

   3. Taylor expanded in y0 around inf 52.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. 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%

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

      5. *-commutative 52.5%

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

      6. *-commutative 52.5%

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

      7. *-commutative 52.5%

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

   5. Simplified 52.5%

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

   6. Taylor expanded in y3 around inf 100.0%

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

      1. cancel-sign-sub-inv 100.0%

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

      2. metadata-eval 100.0%

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

      3. *-lft-identity 100.0%

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

      4. +-commutative 100.0%

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

      5. mul-1-neg 100.0%

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

      6. unsub-neg 100.0%

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

      7. *-commutative 100.0%

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

   8. Simplified 100.0%

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

   if -9.99999999999999979e-150 < k < -7.1999999999999997e-205

   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. Add Preprocessing

   3. Taylor expanded in a around inf 31.3%

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

   4. Taylor expanded in y3 around inf 51.1%

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

      1. associate-*r* 51.2%

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

      2. *-commutative 51.2%

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

   6. Simplified 51.2%

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

   if -2.79999999999999994e-272 < k < 1.2500000000000001e-194

   1. Initial program 46.6%

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

   3. Taylor expanded in a around inf 54.2%

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

   4. Taylor expanded in y5 around 0 57.6%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 57.6%

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

      2. mul-1-neg 57.6%

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

      3. *-commutative 57.6%

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

      4. unsub-neg 57.6%

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

      5. cancel-sign-sub-inv 57.6%

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

      6. *-commutative 57.6%

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

      7. cancel-sign-sub-inv 57.6%

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

   6. Simplified 57.6%

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

   if 1.2500000000000001e-194 < k < 4.99999999999999957e28

   1. Initial program 33.8%

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

   3. Taylor expanded in y4 around inf 48.2%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 61.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -3.4 \cdot 10^{+270}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.65 \cdot 10^{+122}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;k \leq -5.4 \cdot 10^{+39}:\\ \;\;\;\;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 -7.9 \cdot 10^{-56}:\\ \;\;\;\;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 -3.05 \cdot 10^{-83}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -2.2 \cdot 10^{-142}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -1 \cdot 10^{-149}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{-205}:\\ \;\;\;\;\left(a \cdot y3\right) \cdot \left(z \cdot y1 - y \cdot y5\right)\\ \mathbf{elif}\;k \leq -2.8 \cdot 10^{-272}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.25 \cdot 10^{-194}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 5 \cdot 10^{+28}:\\ \;\;\;\;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{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 41.2% accurate, 1.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := z \cdot k - x \cdot j\\ t_3 := x \cdot y2 - z \cdot y3\\ t_4 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ t_5 := x \cdot y - z \cdot t\\ \mathbf{if}\;k \leq -1.85 \cdot 10^{+270}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -8.2 \cdot 10^{+119}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;k \leq -6.8 \cdot 10^{+34}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t\_3 + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot t\_2\right)\\ \mathbf{elif}\;k \leq -4.4 \cdot 10^{-57}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_5 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot t\_2\right)\\ \mathbf{elif}\;k \leq -3 \cdot 10^{-83}:\\ \;\;\;\;c \cdot \left(y0 \cdot t\_3\right)\\ \mathbf{elif}\;k \leq -4.5 \cdot 10^{-143}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -6.5 \cdot 10^{-150}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;k \leq -1 \cdot 10^{-202}:\\ \;\;\;\;\left(a \cdot y3\right) \cdot \left(z \cdot y1 - y \cdot y5\right)\\ \mathbf{elif}\;k \leq -1.02 \cdot 10^{-268}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{-188}:\\ \;\;\;\;a \cdot \left(b \cdot t\_5 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{+76}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot t\_3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          x
          (+
           (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
           (* j (- (* i y1) (* b y0))))))
        (t_2 (- (* z k) (* x j)))
        (t_3 (- (* x y2) (* z y3)))
        (t_4
         (*
          k
          (+
           (* z (- (* b y0) (* i y1)))
           (+ (* y2 (- (* y1 y4) (* y0 y5))) (* y (- (* i y5) (* b y4)))))))
        (t_5 (- (* x y) (* z t))))
   (if (<= k -1.85e+270)
     (* a (* x (- (* y b) (* y1 y2))))
     (if (<= k -8.2e+119)
       t_4
       (if (<= k -6.8e+34)
         (* y0 (+ (+ (* c t_3) (* y5 (- (* j y3) (* k y2)))) (* b t_2)))
         (if (<= k -4.4e-57)
           (* b (+ (+ (* a t_5) (* y4 (- (* t j) (* y k)))) (* y0 t_2)))
           (if (<= k -3e-83)
             (* c (* y0 t_3))
             (if (<= k -4.5e-143)
               t_1
               (if (<= k -6.5e-150)
                 (* y0 (* y3 (- (* j y5) (* z c))))
                 (if (<= k -1e-202)
                   (* (* a y3) (- (* z y1) (* y y5)))
                   (if (<= k -1.02e-268)
                     t_1
                     (if (<= k 8.5e-188)
                       (* a (+ (* b t_5) (* y1 (- (* z y3) (* x y2)))))
                       (if (<= k 1.6e+76)
                         (*
                          y1
                          (+
                           (* i (- (* x j) (* z k)))
                           (- (* y4 (- (* k y2) (* j y3))) (* a t_3))))
                         t_4)))))))))))))

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 * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double t_2 = (z * k) - (x * j);
	double t_3 = (x * y2) - (z * y3);
	double t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	double t_5 = (x * y) - (z * t);
	double tmp;
	if (k <= -1.85e+270) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -8.2e+119) {
		tmp = t_4;
	} else if (k <= -6.8e+34) {
		tmp = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * t_2));
	} else if (k <= -4.4e-57) {
		tmp = b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * t_2));
	} else if (k <= -3e-83) {
		tmp = c * (y0 * t_3);
	} else if (k <= -4.5e-143) {
		tmp = t_1;
	} else if (k <= -6.5e-150) {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	} else if (k <= -1e-202) {
		tmp = (a * y3) * ((z * y1) - (y * y5));
	} else if (k <= -1.02e-268) {
		tmp = t_1;
	} else if (k <= 8.5e-188) {
		tmp = a * ((b * t_5) + (y1 * ((z * y3) - (x * y2))));
	} else if (k <= 1.6e+76) {
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * ((k * y2) - (j * y3))) - (a * t_3)));
	} else {
		tmp = t_4;
	}
	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 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
    t_2 = (z * k) - (x * j)
    t_3 = (x * y2) - (z * y3)
    t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))))
    t_5 = (x * y) - (z * t)
    if (k <= (-1.85d+270)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (k <= (-8.2d+119)) then
        tmp = t_4
    else if (k <= (-6.8d+34)) then
        tmp = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * t_2))
    else if (k <= (-4.4d-57)) then
        tmp = b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * t_2))
    else if (k <= (-3d-83)) then
        tmp = c * (y0 * t_3)
    else if (k <= (-4.5d-143)) then
        tmp = t_1
    else if (k <= (-6.5d-150)) then
        tmp = y0 * (y3 * ((j * y5) - (z * c)))
    else if (k <= (-1d-202)) then
        tmp = (a * y3) * ((z * y1) - (y * y5))
    else if (k <= (-1.02d-268)) then
        tmp = t_1
    else if (k <= 8.5d-188) then
        tmp = a * ((b * t_5) + (y1 * ((z * y3) - (x * y2))))
    else if (k <= 1.6d+76) then
        tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * ((k * y2) - (j * y3))) - (a * t_3)))
    else
        tmp = t_4
    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 * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	double t_2 = (z * k) - (x * j);
	double t_3 = (x * y2) - (z * y3);
	double t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	double t_5 = (x * y) - (z * t);
	double tmp;
	if (k <= -1.85e+270) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -8.2e+119) {
		tmp = t_4;
	} else if (k <= -6.8e+34) {
		tmp = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * t_2));
	} else if (k <= -4.4e-57) {
		tmp = b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * t_2));
	} else if (k <= -3e-83) {
		tmp = c * (y0 * t_3);
	} else if (k <= -4.5e-143) {
		tmp = t_1;
	} else if (k <= -6.5e-150) {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	} else if (k <= -1e-202) {
		tmp = (a * y3) * ((z * y1) - (y * y5));
	} else if (k <= -1.02e-268) {
		tmp = t_1;
	} else if (k <= 8.5e-188) {
		tmp = a * ((b * t_5) + (y1 * ((z * y3) - (x * y2))));
	} else if (k <= 1.6e+76) {
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * ((k * y2) - (j * y3))) - (a * t_3)));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))))
	t_2 = (z * k) - (x * j)
	t_3 = (x * y2) - (z * y3)
	t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))))
	t_5 = (x * y) - (z * t)
	tmp = 0
	if k <= -1.85e+270:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif k <= -8.2e+119:
		tmp = t_4
	elif k <= -6.8e+34:
		tmp = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * t_2))
	elif k <= -4.4e-57:
		tmp = b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * t_2))
	elif k <= -3e-83:
		tmp = c * (y0 * t_3)
	elif k <= -4.5e-143:
		tmp = t_1
	elif k <= -6.5e-150:
		tmp = y0 * (y3 * ((j * y5) - (z * c)))
	elif k <= -1e-202:
		tmp = (a * y3) * ((z * y1) - (y * y5))
	elif k <= -1.02e-268:
		tmp = t_1
	elif k <= 8.5e-188:
		tmp = a * ((b * t_5) + (y1 * ((z * y3) - (x * y2))))
	elif k <= 1.6e+76:
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * ((k * y2) - (j * y3))) - (a * t_3)))
	else:
		tmp = t_4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_2 = Float64(Float64(z * k) - Float64(x * j))
	t_3 = Float64(Float64(x * y2) - Float64(z * y3))
	t_4 = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(y * Float64(Float64(i * y5) - Float64(b * y4))))))
	t_5 = Float64(Float64(x * y) - Float64(z * t))
	tmp = 0.0
	if (k <= -1.85e+270)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (k <= -8.2e+119)
		tmp = t_4;
	elseif (k <= -6.8e+34)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_3) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * t_2)));
	elseif (k <= -4.4e-57)
		tmp = Float64(b * Float64(Float64(Float64(a * t_5) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * t_2)));
	elseif (k <= -3e-83)
		tmp = Float64(c * Float64(y0 * t_3));
	elseif (k <= -4.5e-143)
		tmp = t_1;
	elseif (k <= -6.5e-150)
		tmp = Float64(y0 * Float64(y3 * Float64(Float64(j * y5) - Float64(z * c))));
	elseif (k <= -1e-202)
		tmp = Float64(Float64(a * y3) * Float64(Float64(z * y1) - Float64(y * y5)));
	elseif (k <= -1.02e-268)
		tmp = t_1;
	elseif (k <= 8.5e-188)
		tmp = Float64(a * Float64(Float64(b * t_5) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (k <= 1.6e+76)
		tmp = Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))) - Float64(a * t_3))));
	else
		tmp = t_4;
	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 * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	t_2 = (z * k) - (x * j);
	t_3 = (x * y2) - (z * y3);
	t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	t_5 = (x * y) - (z * t);
	tmp = 0.0;
	if (k <= -1.85e+270)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (k <= -8.2e+119)
		tmp = t_4;
	elseif (k <= -6.8e+34)
		tmp = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * t_2));
	elseif (k <= -4.4e-57)
		tmp = b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * t_2));
	elseif (k <= -3e-83)
		tmp = c * (y0 * t_3);
	elseif (k <= -4.5e-143)
		tmp = t_1;
	elseif (k <= -6.5e-150)
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	elseif (k <= -1e-202)
		tmp = (a * y3) * ((z * y1) - (y * y5));
	elseif (k <= -1.02e-268)
		tmp = t_1;
	elseif (k <= 8.5e-188)
		tmp = a * ((b * t_5) + (y1 * ((z * y3) - (x * y2))));
	elseif (k <= 1.6e+76)
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * ((k * y2) - (j * y3))) - (a * t_3)));
	else
		tmp = t_4;
	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[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.85e+270], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -8.2e+119], t$95$4, If[LessEqual[k, -6.8e+34], 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 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.4e-57], N[(b * N[(N[(N[(a * t$95$5), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3e-83], N[(c * N[(y0 * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.5e-143], t$95$1, If[LessEqual[k, -6.5e-150], N[(y0 * N[(y3 * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1e-202], N[(N[(a * y3), $MachinePrecision] * N[(N[(z * y1), $MachinePrecision] - N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.02e-268], t$95$1, If[LessEqual[k, 8.5e-188], N[(a * N[(N[(b * t$95$5), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.6e+76], N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -1.84999999999999997e270

   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. Add Preprocessing

   3. Taylor expanded in a around inf 29.5%

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

   4. Taylor expanded in x around inf 51.0%

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

      1. +-commutative 51.0%

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

      2. mul-1-neg 51.0%

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

      3. unsub-neg 51.0%

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

      4. *-commutative 51.0%

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

      5. *-commutative 51.0%

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

   6. Simplified 51.0%

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

   if -1.84999999999999997e270 < k < -8.1999999999999994e119 or 1.59999999999999988e76 < k

   1. Initial program 24.4%

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

   3. Taylor expanded in k around inf 70.4%

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

      1. sub-neg 70.4%

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

      2. +-commutative 70.4%

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

      3. mul-1-neg 70.4%

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

      4. unsub-neg 70.4%

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

      5. *-commutative 70.4%

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

      6. mul-1-neg 70.4%

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

      7. remove-double-neg 70.4%

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

   5. Simplified 70.4%

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

   if -8.1999999999999994e119 < k < -6.7999999999999999e34

   1. Initial program 44.7%

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

   3. Taylor expanded in y0 around inf 67.1%

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

      1. +-commutative 67.1%

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

      2. mul-1-neg 67.1%

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

      3. unsub-neg 67.1%

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

      4. *-commutative 67.1%

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

      5. *-commutative 67.1%

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

      6. *-commutative 67.1%

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

      7. *-commutative 67.1%

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

   5. Simplified 67.1%

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

   if -6.7999999999999999e34 < k < -4.39999999999999997e-57

   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. Add Preprocessing

   3. Taylor expanded in b around inf 60.6%

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

   if -4.39999999999999997e-57 < k < -3.0000000000000001e-83

   1. Initial program 22.2%

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

   3. Taylor expanded in y0 around inf 67.3%

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

      1. +-commutative 67.3%

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

      2. mul-1-neg 67.3%

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

      3. unsub-neg 67.3%

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

      4. *-commutative 67.3%

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

      5. *-commutative 67.3%

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

      6. *-commutative 67.3%

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

      7. *-commutative 67.3%

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

   5. Simplified 67.3%

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

   6. Taylor expanded in c around inf 68.1%

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

   if -3.0000000000000001e-83 < k < -4.5e-143 or -1e-202 < k < -1.0200000000000001e-268

   1. Initial program 21.1%

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

   3. Taylor expanded in x around inf 67.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -4.5e-143 < k < -6.49999999999999997e-150

   1. Initial program 50.0%

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

   3. Taylor expanded in y0 around inf 52.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. 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%

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

      5. *-commutative 52.5%

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

      6. *-commutative 52.5%

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

      7. *-commutative 52.5%

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

   5. Simplified 52.5%

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

   6. Taylor expanded in y3 around inf 100.0%

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

      1. cancel-sign-sub-inv 100.0%

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

      2. metadata-eval 100.0%

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

      3. *-lft-identity 100.0%

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

      4. +-commutative 100.0%

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

      5. mul-1-neg 100.0%

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

      6. unsub-neg 100.0%

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

      7. *-commutative 100.0%

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

   8. Simplified 100.0%

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

   if -6.49999999999999997e-150 < k < -1e-202

   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. Add Preprocessing

   3. Taylor expanded in a around inf 31.3%

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

   4. Taylor expanded in y3 around inf 51.1%

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

      1. associate-*r* 51.2%

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

      2. *-commutative 51.2%

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

   6. Simplified 51.2%

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

   if -1.0200000000000001e-268 < k < 8.5000000000000004e-188

   1. Initial program 46.6%

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

   3. Taylor expanded in a around inf 54.2%

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

   4. Taylor expanded in y5 around 0 57.6%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 57.6%

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

      2. mul-1-neg 57.6%

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

      3. *-commutative 57.6%

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

      4. unsub-neg 57.6%

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

      5. cancel-sign-sub-inv 57.6%

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

      6. *-commutative 57.6%

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

      7. cancel-sign-sub-inv 57.6%

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

   6. Simplified 57.6%

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

   if 8.5000000000000004e-188 < k < 1.59999999999999988e76

   1. Initial program 32.3%

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

   3. Taylor expanded in y1 around -inf 49.9%

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

      1. mul-1-neg 49.9%

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

      2. *-commutative 49.9%

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

      3. distribute-rgt-neg-in 49.9%

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

   5. Simplified 49.9%

      \[\leadsto \color{blue}{\left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right) \cdot \left(-y1\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 62.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.85 \cdot 10^{+270}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -8.2 \cdot 10^{+119}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;k \leq -6.8 \cdot 10^{+34}:\\ \;\;\;\;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 -4.4 \cdot 10^{-57}:\\ \;\;\;\;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 -3 \cdot 10^{-83}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -4.5 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -6.5 \cdot 10^{-150}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;k \leq -1 \cdot 10^{-202}:\\ \;\;\;\;\left(a \cdot y3\right) \cdot \left(z \cdot y1 - y \cdot y5\right)\\ \mathbf{elif}\;k \leq -1.02 \cdot 10^{-268}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{-188}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.6 \cdot 10^{+76}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 39.4% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\\ t_2 := i \cdot y5 - b \cdot y4\\ t_3 := x \cdot y2 - z \cdot y3\\ t_4 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_5 := k \cdot y2 - j \cdot y3\\ t_6 := t \cdot y2 - y \cdot y3\\ t_7 := j \cdot y3 - k \cdot y2\\ t_8 := y5 \cdot t\_7\\ \mathbf{if}\;y5 \leq -4.3 \cdot 10^{+248}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot t\_5 - a \cdot t\_3\right)\right)\\ \mathbf{elif}\;y5 \leq -4.6 \cdot 10^{+96}:\\ \;\;\;\;y5 \cdot \left(a \cdot t\_6 + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot t\_7\right)\right)\\ \mathbf{elif}\;y5 \leq -2.1 \cdot 10^{+57}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \mathbf{elif}\;y5 \leq -54000000000:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y5 \leq -1.8 \cdot 10^{-68}:\\ \;\;\;\;t\_5 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \left(k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + y \cdot t\_2\right) + t\_6 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -1.4 \cdot 10^{-240}:\\ \;\;\;\;a \cdot t\_1\\ \mathbf{elif}\;y5 \leq 8.6 \cdot 10^{-286}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t\_3 + t\_8\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 1.25 \cdot 10^{-247}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y5 \leq 4.3 \cdot 10^{+39}:\\ \;\;\;\;y \cdot \left(\left(k \cdot t\_2 + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 4.5 \cdot 10^{+111}:\\ \;\;\;\;a \cdot \left(t\_1 + y5 \cdot t\_6\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot t\_8\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (+ (* b (- (* x y) (* z t))) (* y1 (- (* z y3) (* x y2)))))
        (t_2 (- (* i y5) (* b y4)))
        (t_3 (- (* x y2) (* z y3)))
        (t_4
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_5 (- (* k y2) (* j y3)))
        (t_6 (- (* t y2) (* y y3)))
        (t_7 (- (* j y3) (* k y2)))
        (t_8 (* y5 t_7)))
   (if (<= y5 -4.3e+248)
     (* y1 (+ (* i (- (* x j) (* z k))) (- (* y4 t_5) (* a t_3))))
     (if (<= y5 -4.6e+96)
       (* y5 (+ (* a t_6) (+ (* i (- (* y k) (* t j))) (* y0 t_7))))
       (if (<= y5 -2.1e+57)
         (* (* y i) (- (* k y5) (* x c)))
         (if (<= y5 -54000000000.0)
           t_4
           (if (<= y5 -1.8e-68)
             (+
              (* t_5 (- (* y1 y4) (* y0 y5)))
              (+
               (* k (+ (* z (- (* b y0) (* i y1))) (* y t_2)))
               (* t_6 (- (* a y5) (* c y4)))))
             (if (<= y5 -1.4e-240)
               (* a t_1)
               (if (<= y5 8.6e-286)
                 (* y0 (+ (+ (* c t_3) t_8) (* b (- (* z k) (* x j)))))
                 (if (<= y5 1.25e-247)
                   t_4
                   (if (<= y5 4.3e+39)
                     (*
                      y
                      (+
                       (+ (* k t_2) (* x (- (* a b) (* c i))))
                       (* y3 (- (* c y4) (* a y5)))))
                     (if (<= y5 4.5e+111)
                       (* a (+ t_1 (* y5 t_6)))
                       (* y0 t_8)))))))))))))

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 * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2)));
	double t_2 = (i * y5) - (b * y4);
	double t_3 = (x * y2) - (z * y3);
	double t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_5 = (k * y2) - (j * y3);
	double t_6 = (t * y2) - (y * y3);
	double t_7 = (j * y3) - (k * y2);
	double t_8 = y5 * t_7;
	double tmp;
	if (y5 <= -4.3e+248) {
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_5) - (a * t_3)));
	} else if (y5 <= -4.6e+96) {
		tmp = y5 * ((a * t_6) + ((i * ((y * k) - (t * j))) + (y0 * t_7)));
	} else if (y5 <= -2.1e+57) {
		tmp = (y * i) * ((k * y5) - (x * c));
	} else if (y5 <= -54000000000.0) {
		tmp = t_4;
	} else if (y5 <= -1.8e-68) {
		tmp = (t_5 * ((y1 * y4) - (y0 * y5))) + ((k * ((z * ((b * y0) - (i * y1))) + (y * t_2))) + (t_6 * ((a * y5) - (c * y4))));
	} else if (y5 <= -1.4e-240) {
		tmp = a * t_1;
	} else if (y5 <= 8.6e-286) {
		tmp = y0 * (((c * t_3) + t_8) + (b * ((z * k) - (x * j))));
	} else if (y5 <= 1.25e-247) {
		tmp = t_4;
	} else if (y5 <= 4.3e+39) {
		tmp = y * (((k * t_2) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5))));
	} else if (y5 <= 4.5e+111) {
		tmp = a * (t_1 + (y5 * t_6));
	} else {
		tmp = y0 * t_8;
	}
	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 * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2)))
    t_2 = (i * y5) - (b * y4)
    t_3 = (x * y2) - (z * y3)
    t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_5 = (k * y2) - (j * y3)
    t_6 = (t * y2) - (y * y3)
    t_7 = (j * y3) - (k * y2)
    t_8 = y5 * t_7
    if (y5 <= (-4.3d+248)) then
        tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_5) - (a * t_3)))
    else if (y5 <= (-4.6d+96)) then
        tmp = y5 * ((a * t_6) + ((i * ((y * k) - (t * j))) + (y0 * t_7)))
    else if (y5 <= (-2.1d+57)) then
        tmp = (y * i) * ((k * y5) - (x * c))
    else if (y5 <= (-54000000000.0d0)) then
        tmp = t_4
    else if (y5 <= (-1.8d-68)) then
        tmp = (t_5 * ((y1 * y4) - (y0 * y5))) + ((k * ((z * ((b * y0) - (i * y1))) + (y * t_2))) + (t_6 * ((a * y5) - (c * y4))))
    else if (y5 <= (-1.4d-240)) then
        tmp = a * t_1
    else if (y5 <= 8.6d-286) then
        tmp = y0 * (((c * t_3) + t_8) + (b * ((z * k) - (x * j))))
    else if (y5 <= 1.25d-247) then
        tmp = t_4
    else if (y5 <= 4.3d+39) then
        tmp = y * (((k * t_2) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5))))
    else if (y5 <= 4.5d+111) then
        tmp = a * (t_1 + (y5 * t_6))
    else
        tmp = y0 * t_8
    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 * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2)));
	double t_2 = (i * y5) - (b * y4);
	double t_3 = (x * y2) - (z * y3);
	double t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_5 = (k * y2) - (j * y3);
	double t_6 = (t * y2) - (y * y3);
	double t_7 = (j * y3) - (k * y2);
	double t_8 = y5 * t_7;
	double tmp;
	if (y5 <= -4.3e+248) {
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_5) - (a * t_3)));
	} else if (y5 <= -4.6e+96) {
		tmp = y5 * ((a * t_6) + ((i * ((y * k) - (t * j))) + (y0 * t_7)));
	} else if (y5 <= -2.1e+57) {
		tmp = (y * i) * ((k * y5) - (x * c));
	} else if (y5 <= -54000000000.0) {
		tmp = t_4;
	} else if (y5 <= -1.8e-68) {
		tmp = (t_5 * ((y1 * y4) - (y0 * y5))) + ((k * ((z * ((b * y0) - (i * y1))) + (y * t_2))) + (t_6 * ((a * y5) - (c * y4))));
	} else if (y5 <= -1.4e-240) {
		tmp = a * t_1;
	} else if (y5 <= 8.6e-286) {
		tmp = y0 * (((c * t_3) + t_8) + (b * ((z * k) - (x * j))));
	} else if (y5 <= 1.25e-247) {
		tmp = t_4;
	} else if (y5 <= 4.3e+39) {
		tmp = y * (((k * t_2) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5))));
	} else if (y5 <= 4.5e+111) {
		tmp = a * (t_1 + (y5 * t_6));
	} else {
		tmp = y0 * t_8;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2)))
	t_2 = (i * y5) - (b * y4)
	t_3 = (x * y2) - (z * y3)
	t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_5 = (k * y2) - (j * y3)
	t_6 = (t * y2) - (y * y3)
	t_7 = (j * y3) - (k * y2)
	t_8 = y5 * t_7
	tmp = 0
	if y5 <= -4.3e+248:
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_5) - (a * t_3)))
	elif y5 <= -4.6e+96:
		tmp = y5 * ((a * t_6) + ((i * ((y * k) - (t * j))) + (y0 * t_7)))
	elif y5 <= -2.1e+57:
		tmp = (y * i) * ((k * y5) - (x * c))
	elif y5 <= -54000000000.0:
		tmp = t_4
	elif y5 <= -1.8e-68:
		tmp = (t_5 * ((y1 * y4) - (y0 * y5))) + ((k * ((z * ((b * y0) - (i * y1))) + (y * t_2))) + (t_6 * ((a * y5) - (c * y4))))
	elif y5 <= -1.4e-240:
		tmp = a * t_1
	elif y5 <= 8.6e-286:
		tmp = y0 * (((c * t_3) + t_8) + (b * ((z * k) - (x * j))))
	elif y5 <= 1.25e-247:
		tmp = t_4
	elif y5 <= 4.3e+39:
		tmp = y * (((k * t_2) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5))))
	elif y5 <= 4.5e+111:
		tmp = a * (t_1 + (y5 * t_6))
	else:
		tmp = y0 * t_8
	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 * Float64(Float64(x * y) - Float64(z * t))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))))
	t_2 = Float64(Float64(i * y5) - Float64(b * y4))
	t_3 = Float64(Float64(x * y2) - Float64(z * y3))
	t_4 = 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_5 = Float64(Float64(k * y2) - Float64(j * y3))
	t_6 = Float64(Float64(t * y2) - Float64(y * y3))
	t_7 = Float64(Float64(j * y3) - Float64(k * y2))
	t_8 = Float64(y5 * t_7)
	tmp = 0.0
	if (y5 <= -4.3e+248)
		tmp = Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y4 * t_5) - Float64(a * t_3))));
	elseif (y5 <= -4.6e+96)
		tmp = Float64(y5 * Float64(Float64(a * t_6) + Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(y0 * t_7))));
	elseif (y5 <= -2.1e+57)
		tmp = Float64(Float64(y * i) * Float64(Float64(k * y5) - Float64(x * c)));
	elseif (y5 <= -54000000000.0)
		tmp = t_4;
	elseif (y5 <= -1.8e-68)
		tmp = Float64(Float64(t_5 * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(y * t_2))) + Float64(t_6 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y5 <= -1.4e-240)
		tmp = Float64(a * t_1);
	elseif (y5 <= 8.6e-286)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_3) + t_8) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y5 <= 1.25e-247)
		tmp = t_4;
	elseif (y5 <= 4.3e+39)
		tmp = Float64(y * Float64(Float64(Float64(k * t_2) + Float64(x * Float64(Float64(a * b) - Float64(c * i)))) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	elseif (y5 <= 4.5e+111)
		tmp = Float64(a * Float64(t_1 + Float64(y5 * t_6)));
	else
		tmp = Float64(y0 * t_8);
	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 * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2)));
	t_2 = (i * y5) - (b * y4);
	t_3 = (x * y2) - (z * y3);
	t_4 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_5 = (k * y2) - (j * y3);
	t_6 = (t * y2) - (y * y3);
	t_7 = (j * y3) - (k * y2);
	t_8 = y5 * t_7;
	tmp = 0.0;
	if (y5 <= -4.3e+248)
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_5) - (a * t_3)));
	elseif (y5 <= -4.6e+96)
		tmp = y5 * ((a * t_6) + ((i * ((y * k) - (t * j))) + (y0 * t_7)));
	elseif (y5 <= -2.1e+57)
		tmp = (y * i) * ((k * y5) - (x * c));
	elseif (y5 <= -54000000000.0)
		tmp = t_4;
	elseif (y5 <= -1.8e-68)
		tmp = (t_5 * ((y1 * y4) - (y0 * y5))) + ((k * ((z * ((b * y0) - (i * y1))) + (y * t_2))) + (t_6 * ((a * y5) - (c * y4))));
	elseif (y5 <= -1.4e-240)
		tmp = a * t_1;
	elseif (y5 <= 8.6e-286)
		tmp = y0 * (((c * t_3) + t_8) + (b * ((z * k) - (x * j))));
	elseif (y5 <= 1.25e-247)
		tmp = t_4;
	elseif (y5 <= 4.3e+39)
		tmp = y * (((k * t_2) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5))));
	elseif (y5 <= 4.5e+111)
		tmp = a * (t_1 + (y5 * t_6));
	else
		tmp = y0 * t_8;
	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 * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $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 * 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[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(y5 * t$95$7), $MachinePrecision]}, If[LessEqual[y5, -4.3e+248], N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y4 * t$95$5), $MachinePrecision] - N[(a * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -4.6e+96], N[(y5 * N[(N[(a * t$95$6), $MachinePrecision] + N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.1e+57], N[(N[(y * i), $MachinePrecision] * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -54000000000.0], t$95$4, If[LessEqual[y5, -1.8e-68], N[(N[(t$95$5 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$6 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.4e-240], N[(a * t$95$1), $MachinePrecision], If[LessEqual[y5, 8.6e-286], N[(y0 * N[(N[(N[(c * t$95$3), $MachinePrecision] + t$95$8), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.25e-247], t$95$4, If[LessEqual[y5, 4.3e+39], N[(y * N[(N[(N[(k * t$95$2), $MachinePrecision] + N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 4.5e+111], N[(a * N[(t$95$1 + N[(y5 * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * t$95$8), $MachinePrecision]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y5 < -4.3000000000000001e248

   1. Initial program 10.0%

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

   3. Taylor expanded in y1 around -inf 70.0%

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

      1. mul-1-neg 70.0%

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

      2. *-commutative 70.0%

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

      3. distribute-rgt-neg-in 70.0%

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

   5. Simplified 70.0%

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

   if -4.3000000000000001e248 < y5 < -4.6000000000000003e96

   1. Initial program 39.4%

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

   3. Taylor expanded in y5 around -inf 76.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   if -4.6000000000000003e96 < y5 < -2.09999999999999991e57

   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. Add Preprocessing

   3. Taylor expanded in y around inf 57.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in i around inf 71.8%

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

      1. associate-*r* 71.7%

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

      2. +-commutative 71.7%

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

      3. mul-1-neg 71.7%

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

      4. unsub-neg 71.7%

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

      5. *-commutative 71.7%

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

      6. *-commutative 71.7%

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

   6. Simplified 71.7%

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

   if -2.09999999999999991e57 < y5 < -5.4e10 or 8.5999999999999991e-286 < y5 < 1.24999999999999994e-247

   1. Initial program 26.2%

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

   3. Taylor expanded in j around inf 74.4%

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

      1. +-commutative 74.4%

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

      2. mul-1-neg 74.4%

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

      3. unsub-neg 74.4%

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

      4. *-commutative 74.4%

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

   5. Simplified 74.4%

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

   if -5.4e10 < y5 < -1.80000000000000004e-68

   1. Initial program 19.1%

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

   3. Taylor expanded in k around inf 68.8%

      \[\leadsto \left(\color{blue}{k \cdot \left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. distribute-lft-out-- 68.8%

         \[\leadsto \left(k \cdot \color{blue}{\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right) - z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 68.8%

         \[\leadsto \left(k \cdot \left(-1 \cdot \left(\color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y} - z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 68.8%

      \[\leadsto \left(\color{blue}{k \cdot \left(-1 \cdot \left(\left(b \cdot y4 - i \cdot y5\right) \cdot y - z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   if -1.80000000000000004e-68 < y5 < -1.4e-240

   1. Initial program 23.9%

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

   3. Taylor expanded in a around inf 50.9%

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

   4. Taylor expanded in y5 around 0 56.9%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 56.9%

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

      2. mul-1-neg 56.9%

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

      3. *-commutative 56.9%

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

      4. unsub-neg 56.9%

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

      5. cancel-sign-sub-inv 56.9%

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

      6. *-commutative 56.9%

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

      7. cancel-sign-sub-inv 56.9%

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

   6. Simplified 56.9%

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

   if -1.4e-240 < y5 < 8.5999999999999991e-286

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 61.8%

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

      1. +-commutative 61.8%

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

      2. mul-1-neg 61.8%

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

      3. unsub-neg 61.8%

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

      4. *-commutative 61.8%

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

      5. *-commutative 61.8%

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

      6. *-commutative 61.8%

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

      7. *-commutative 61.8%

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

   5. Simplified 61.8%

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

   if 1.24999999999999994e-247 < y5 < 4.3e39

   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. Add Preprocessing

   3. Taylor expanded in y around inf 57.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if 4.3e39 < y5 < 4.50000000000000001e111

   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. Add Preprocessing

   3. Taylor expanded in a around inf 71.4%

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

   if 4.50000000000000001e111 < y5

   1. Initial program 21.6%

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

   3. Taylor expanded in y0 around inf 40.8%

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

      1. +-commutative 40.8%

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

      2. mul-1-neg 40.8%

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

      3. unsub-neg 40.8%

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

      4. *-commutative 40.8%

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

      5. *-commutative 40.8%

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

      6. *-commutative 40.8%

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

      7. *-commutative 40.8%

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

   5. Simplified 40.8%

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

   6. Taylor expanded in y5 around inf 60.2%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 60.2%

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

   8. Simplified 60.2%

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

4. Final simplification 64.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -4.3 \cdot 10^{+248}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -4.6 \cdot 10^{+96}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -2.1 \cdot 10^{+57}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \mathbf{elif}\;y5 \leq -54000000000:\\ \;\;\;\;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}\;y5 \leq -1.8 \cdot 10^{-68}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \left(k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -1.4 \cdot 10^{-240}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 8.6 \cdot 10^{-286}:\\ \;\;\;\;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}\;y5 \leq 1.25 \cdot 10^{-247}:\\ \;\;\;\;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}\;y5 \leq 4.3 \cdot 10^{+39}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 4.5 \cdot 10^{+111}:\\ \;\;\;\;a \cdot \left(\left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 8: 39.7% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y2 - z \cdot y3\\ t_2 := b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\\ t_3 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_4 := j \cdot y3 - k \cdot y2\\ t_5 := y5 \cdot t\_4\\ t_6 := k \cdot y2 - j \cdot y3\\ t_7 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y5 \leq -4.3 \cdot 10^{+248}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot t\_6 - a \cdot t\_1\right)\right)\\ \mathbf{elif}\;y5 \leq -2.55 \cdot 10^{+92}:\\ \;\;\;\;y5 \cdot \left(a \cdot t\_7 + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot t\_4\right)\right)\\ \mathbf{elif}\;y5 \leq -3.7 \cdot 10^{+65}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \mathbf{elif}\;y5 \leq -1.45 \cdot 10^{+15}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y5 \leq -2.7 \cdot 10^{-60}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot t\_6\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -1.4 \cdot 10^{-240}:\\ \;\;\;\;a \cdot t\_2\\ \mathbf{elif}\;y5 \leq 1.22 \cdot 10^{-288}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t\_1 + t\_5\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 10^{-248}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y5 \leq 3.8 \cdot 10^{+39}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 1.4 \cdot 10^{+111}:\\ \;\;\;\;a \cdot \left(t\_2 + y5 \cdot t\_7\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot t\_5\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y2) (* z y3)))
        (t_2 (+ (* b (- (* x y) (* z t))) (* y1 (- (* z y3) (* x y2)))))
        (t_3
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_4 (- (* j y3) (* k y2)))
        (t_5 (* y5 t_4))
        (t_6 (- (* k y2) (* j y3)))
        (t_7 (- (* t y2) (* y y3))))
   (if (<= y5 -4.3e+248)
     (* y1 (+ (* i (- (* x j) (* z k))) (- (* y4 t_6) (* a t_1))))
     (if (<= y5 -2.55e+92)
       (* y5 (+ (* a t_7) (+ (* i (- (* y k) (* t j))) (* y0 t_4))))
       (if (<= y5 -3.7e+65)
         (* (* y i) (- (* k y5) (* x c)))
         (if (<= y5 -1.45e+15)
           t_3
           (if (<= y5 -2.7e-60)
             (*
              y4
              (+
               (+ (* b (- (* t j) (* y k))) (* y1 t_6))
               (* c (- (* y y3) (* t y2)))))
             (if (<= y5 -1.4e-240)
               (* a t_2)
               (if (<= y5 1.22e-288)
                 (* y0 (+ (+ (* c t_1) t_5) (* b (- (* z k) (* x j)))))
                 (if (<= y5 1e-248)
                   t_3
                   (if (<= y5 3.8e+39)
                     (*
                      y
                      (+
                       (+
                        (* k (- (* i y5) (* b y4)))
                        (* x (- (* a b) (* c i))))
                       (* y3 (- (* c y4) (* a y5)))))
                     (if (<= y5 1.4e+111)
                       (* a (+ t_2 (* y5 t_7)))
                       (* y0 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 = (x * y2) - (z * y3);
	double t_2 = (b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2)));
	double t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_4 = (j * y3) - (k * y2);
	double t_5 = y5 * t_4;
	double t_6 = (k * y2) - (j * y3);
	double t_7 = (t * y2) - (y * y3);
	double tmp;
	if (y5 <= -4.3e+248) {
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_6) - (a * t_1)));
	} else if (y5 <= -2.55e+92) {
		tmp = y5 * ((a * t_7) + ((i * ((y * k) - (t * j))) + (y0 * t_4)));
	} else if (y5 <= -3.7e+65) {
		tmp = (y * i) * ((k * y5) - (x * c));
	} else if (y5 <= -1.45e+15) {
		tmp = t_3;
	} else if (y5 <= -2.7e-60) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_6)) + (c * ((y * y3) - (t * y2))));
	} else if (y5 <= -1.4e-240) {
		tmp = a * t_2;
	} else if (y5 <= 1.22e-288) {
		tmp = y0 * (((c * t_1) + t_5) + (b * ((z * k) - (x * j))));
	} else if (y5 <= 1e-248) {
		tmp = t_3;
	} else if (y5 <= 3.8e+39) {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5))));
	} else if (y5 <= 1.4e+111) {
		tmp = a * (t_2 + (y5 * t_7));
	} else {
		tmp = y0 * 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) :: t_7
    real(8) :: tmp
    t_1 = (x * y2) - (z * y3)
    t_2 = (b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2)))
    t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_4 = (j * y3) - (k * y2)
    t_5 = y5 * t_4
    t_6 = (k * y2) - (j * y3)
    t_7 = (t * y2) - (y * y3)
    if (y5 <= (-4.3d+248)) then
        tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_6) - (a * t_1)))
    else if (y5 <= (-2.55d+92)) then
        tmp = y5 * ((a * t_7) + ((i * ((y * k) - (t * j))) + (y0 * t_4)))
    else if (y5 <= (-3.7d+65)) then
        tmp = (y * i) * ((k * y5) - (x * c))
    else if (y5 <= (-1.45d+15)) then
        tmp = t_3
    else if (y5 <= (-2.7d-60)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_6)) + (c * ((y * y3) - (t * y2))))
    else if (y5 <= (-1.4d-240)) then
        tmp = a * t_2
    else if (y5 <= 1.22d-288) then
        tmp = y0 * (((c * t_1) + t_5) + (b * ((z * k) - (x * j))))
    else if (y5 <= 1d-248) then
        tmp = t_3
    else if (y5 <= 3.8d+39) then
        tmp = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5))))
    else if (y5 <= 1.4d+111) then
        tmp = a * (t_2 + (y5 * t_7))
    else
        tmp = y0 * 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 = (x * y2) - (z * y3);
	double t_2 = (b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2)));
	double t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_4 = (j * y3) - (k * y2);
	double t_5 = y5 * t_4;
	double t_6 = (k * y2) - (j * y3);
	double t_7 = (t * y2) - (y * y3);
	double tmp;
	if (y5 <= -4.3e+248) {
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_6) - (a * t_1)));
	} else if (y5 <= -2.55e+92) {
		tmp = y5 * ((a * t_7) + ((i * ((y * k) - (t * j))) + (y0 * t_4)));
	} else if (y5 <= -3.7e+65) {
		tmp = (y * i) * ((k * y5) - (x * c));
	} else if (y5 <= -1.45e+15) {
		tmp = t_3;
	} else if (y5 <= -2.7e-60) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_6)) + (c * ((y * y3) - (t * y2))));
	} else if (y5 <= -1.4e-240) {
		tmp = a * t_2;
	} else if (y5 <= 1.22e-288) {
		tmp = y0 * (((c * t_1) + t_5) + (b * ((z * k) - (x * j))));
	} else if (y5 <= 1e-248) {
		tmp = t_3;
	} else if (y5 <= 3.8e+39) {
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5))));
	} else if (y5 <= 1.4e+111) {
		tmp = a * (t_2 + (y5 * t_7));
	} else {
		tmp = y0 * 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 = (x * y2) - (z * y3)
	t_2 = (b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2)))
	t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_4 = (j * y3) - (k * y2)
	t_5 = y5 * t_4
	t_6 = (k * y2) - (j * y3)
	t_7 = (t * y2) - (y * y3)
	tmp = 0
	if y5 <= -4.3e+248:
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_6) - (a * t_1)))
	elif y5 <= -2.55e+92:
		tmp = y5 * ((a * t_7) + ((i * ((y * k) - (t * j))) + (y0 * t_4)))
	elif y5 <= -3.7e+65:
		tmp = (y * i) * ((k * y5) - (x * c))
	elif y5 <= -1.45e+15:
		tmp = t_3
	elif y5 <= -2.7e-60:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_6)) + (c * ((y * y3) - (t * y2))))
	elif y5 <= -1.4e-240:
		tmp = a * t_2
	elif y5 <= 1.22e-288:
		tmp = y0 * (((c * t_1) + t_5) + (b * ((z * k) - (x * j))))
	elif y5 <= 1e-248:
		tmp = t_3
	elif y5 <= 3.8e+39:
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5))))
	elif y5 <= 1.4e+111:
		tmp = a * (t_2 + (y5 * t_7))
	else:
		tmp = y0 * 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(x * y2) - Float64(z * y3))
	t_2 = Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))))
	t_3 = 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_4 = Float64(Float64(j * y3) - Float64(k * y2))
	t_5 = Float64(y5 * t_4)
	t_6 = Float64(Float64(k * y2) - Float64(j * y3))
	t_7 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y5 <= -4.3e+248)
		tmp = Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y4 * t_6) - Float64(a * t_1))));
	elseif (y5 <= -2.55e+92)
		tmp = Float64(y5 * Float64(Float64(a * t_7) + Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(y0 * t_4))));
	elseif (y5 <= -3.7e+65)
		tmp = Float64(Float64(y * i) * Float64(Float64(k * y5) - Float64(x * c)));
	elseif (y5 <= -1.45e+15)
		tmp = t_3;
	elseif (y5 <= -2.7e-60)
		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 (y5 <= -1.4e-240)
		tmp = Float64(a * t_2);
	elseif (y5 <= 1.22e-288)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_1) + t_5) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y5 <= 1e-248)
		tmp = t_3;
	elseif (y5 <= 3.8e+39)
		tmp = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * Float64(Float64(a * b) - Float64(c * i)))) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))));
	elseif (y5 <= 1.4e+111)
		tmp = Float64(a * Float64(t_2 + Float64(y5 * t_7)));
	else
		tmp = Float64(y0 * 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 = (x * y2) - (z * y3);
	t_2 = (b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2)));
	t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_4 = (j * y3) - (k * y2);
	t_5 = y5 * t_4;
	t_6 = (k * y2) - (j * y3);
	t_7 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y5 <= -4.3e+248)
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_6) - (a * t_1)));
	elseif (y5 <= -2.55e+92)
		tmp = y5 * ((a * t_7) + ((i * ((y * k) - (t * j))) + (y0 * t_4)));
	elseif (y5 <= -3.7e+65)
		tmp = (y * i) * ((k * y5) - (x * c));
	elseif (y5 <= -1.45e+15)
		tmp = t_3;
	elseif (y5 <= -2.7e-60)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_6)) + (c * ((y * y3) - (t * y2))));
	elseif (y5 <= -1.4e-240)
		tmp = a * t_2;
	elseif (y5 <= 1.22e-288)
		tmp = y0 * (((c * t_1) + t_5) + (b * ((z * k) - (x * j))));
	elseif (y5 <= 1e-248)
		tmp = t_3;
	elseif (y5 <= 3.8e+39)
		tmp = y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5))));
	elseif (y5 <= 1.4e+111)
		tmp = a * (t_2 + (y5 * t_7));
	else
		tmp = y0 * 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[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = 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$4 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y5 * t$95$4), $MachinePrecision]}, Block[{t$95$6 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -4.3e+248], N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y4 * t$95$6), $MachinePrecision] - N[(a * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.55e+92], N[(y5 * N[(N[(a * t$95$7), $MachinePrecision] + N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -3.7e+65], N[(N[(y * i), $MachinePrecision] * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.45e+15], t$95$3, If[LessEqual[y5, -2.7e-60], 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[y5, -1.4e-240], N[(a * t$95$2), $MachinePrecision], If[LessEqual[y5, 1.22e-288], N[(y0 * N[(N[(N[(c * t$95$1), $MachinePrecision] + t$95$5), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1e-248], t$95$3, If[LessEqual[y5, 3.8e+39], N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.4e+111], N[(a * N[(t$95$2 + N[(y5 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * t$95$5), $MachinePrecision]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y5 < -4.3000000000000001e248

   1. Initial program 10.0%

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

   3. Taylor expanded in y1 around -inf 70.0%

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

      1. mul-1-neg 70.0%

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

      2. *-commutative 70.0%

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

      3. distribute-rgt-neg-in 70.0%

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

   5. Simplified 70.0%

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

   if -4.3000000000000001e248 < y5 < -2.5500000000000001e92

   1. Initial program 39.4%

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

   3. Taylor expanded in y5 around -inf 76.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   if -2.5500000000000001e92 < y5 < -3.69999999999999995e65

   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. Add Preprocessing

   3. Taylor expanded in y around inf 57.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in i around inf 71.8%

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

      1. associate-*r* 71.7%

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

      2. +-commutative 71.7%

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

      3. mul-1-neg 71.7%

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

      4. unsub-neg 71.7%

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

      5. *-commutative 71.7%

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

      6. *-commutative 71.7%

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

   6. Simplified 71.7%

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

   if -3.69999999999999995e65 < y5 < -1.45e15 or 1.22e-288 < y5 < 9.9999999999999998e-249

   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. Add Preprocessing

   3. Taylor expanded in j around inf 78.6%

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

      1. +-commutative 78.6%

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

      2. mul-1-neg 78.6%

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

      3. unsub-neg 78.6%

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

      4. *-commutative 78.6%

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

   5. Simplified 78.6%

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

   if -1.45e15 < y5 < -2.7e-60

   1. Initial program 19.1%

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

   3. Taylor expanded in y4 around inf 68.7%

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

   if -2.7e-60 < y5 < -1.4e-240

   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. Add Preprocessing

   3. Taylor expanded in a around inf 49.4%

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

   4. Taylor expanded in y5 around 0 55.3%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 55.3%

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

      2. mul-1-neg 55.3%

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

      3. *-commutative 55.3%

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

      4. unsub-neg 55.3%

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

      5. cancel-sign-sub-inv 55.3%

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

      6. *-commutative 55.3%

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

      7. cancel-sign-sub-inv 55.3%

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

   6. Simplified 55.3%

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

   if -1.4e-240 < y5 < 1.22e-288

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 61.8%

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

      1. +-commutative 61.8%

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

      2. mul-1-neg 61.8%

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

      3. unsub-neg 61.8%

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

      4. *-commutative 61.8%

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

      5. *-commutative 61.8%

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

      6. *-commutative 61.8%

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

      7. *-commutative 61.8%

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

   5. Simplified 61.8%

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

   if 9.9999999999999998e-249 < y5 < 3.7999999999999998e39

   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. Add Preprocessing

   3. Taylor expanded in y around inf 57.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if 3.7999999999999998e39 < y5 < 1.4e111

   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. Add Preprocessing

   3. Taylor expanded in a around inf 71.4%

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

   if 1.4e111 < y5

   1. Initial program 21.6%

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

   3. Taylor expanded in y0 around inf 40.8%

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

      1. +-commutative 40.8%

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

      2. mul-1-neg 40.8%

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

      3. unsub-neg 40.8%

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

      4. *-commutative 40.8%

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

      5. *-commutative 40.8%

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

      6. *-commutative 40.8%

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

      7. *-commutative 40.8%

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

   5. Simplified 40.8%

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

   6. Taylor expanded in y5 around inf 60.2%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 60.2%

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

   8. Simplified 60.2%

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

4. Final simplification 64.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -4.3 \cdot 10^{+248}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) - a \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -2.55 \cdot 10^{+92}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -3.7 \cdot 10^{+65}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \mathbf{elif}\;y5 \leq -1.45 \cdot 10^{+15}:\\ \;\;\;\;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}\;y5 \leq -2.7 \cdot 10^{-60}:\\ \;\;\;\;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}\;y5 \leq -1.4 \cdot 10^{-240}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.22 \cdot 10^{-288}:\\ \;\;\;\;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}\;y5 \leq 10^{-248}:\\ \;\;\;\;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}\;y5 \leq 3.8 \cdot 10^{+39}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 1.4 \cdot 10^{+111}:\\ \;\;\;\;a \cdot \left(\left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 34.3% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := x \cdot y - z \cdot t\\ t_3 := b \cdot \left(\left(a \cdot t\_2 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_4 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ t_5 := b \cdot t\_2\\ \mathbf{if}\;c \leq -4.5 \cdot 10^{+186}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;c \leq -6 \cdot 10^{+107}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq -3.5 \cdot 10^{+57}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-75}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-259}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;c \leq 3.6 \cdot 10^{-261}:\\ \;\;\;\;a \cdot \left(\left(t\_5 - x \cdot \left(y1 \cdot y2\right)\right) + t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 2.2 \cdot 10^{-212}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{-156}:\\ \;\;\;\;\left(x \cdot b\right) \cdot \left(y \cdot a - j \cdot y0\right)\\ \mathbf{elif}\;c \leq 2.6 \cdot 10^{-29}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{+17}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 5.5 \cdot 10^{+200}:\\ \;\;\;\;a \cdot \left(t\_5 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_2 (- (* x y) (* z t)))
        (t_3
         (*
          b
          (+
           (+ (* a t_2) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j))))))
        (t_4
         (*
          k
          (+
           (* z (- (* b y0) (* i y1)))
           (+ (* y2 (- (* y1 y4) (* y0 y5))) (* y (- (* i y5) (* b y4)))))))
        (t_5 (* b t_2)))
   (if (<= c -4.5e+186)
     t_1
     (if (<= c -6e+107)
       t_3
       (if (<= c -3.5e+57)
         t_1
         (if (<= c -3.1e-75)
           (* y (* y3 (- (* c y4) (* a y5))))
           (if (<= c -3.1e-259)
             t_4
             (if (<= c 3.6e-261)
               (* a (+ (- t_5 (* x (* y1 y2))) (* t (* y2 y5))))
               (if (<= c 2.2e-212)
                 t_4
                 (if (<= c 1.5e-156)
                   (* (* x b) (- (* y a) (* j y0)))
                   (if (<= c 2.6e-29)
                     t_3
                     (if (<= c 1.35e+17)
                       (* a (* y5 (- (* t y2) (* y y3))))
                       (if (<= c 5.5e+200)
                         (* a (+ t_5 (* y1 (- (* z y3) (* x y2)))))
                         (* 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 t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_2 = (x * y) - (z * t);
	double t_3 = b * (((a * t_2) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	double t_5 = b * t_2;
	double tmp;
	if (c <= -4.5e+186) {
		tmp = t_1;
	} else if (c <= -6e+107) {
		tmp = t_3;
	} else if (c <= -3.5e+57) {
		tmp = t_1;
	} else if (c <= -3.1e-75) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (c <= -3.1e-259) {
		tmp = t_4;
	} else if (c <= 3.6e-261) {
		tmp = a * ((t_5 - (x * (y1 * y2))) + (t * (y2 * y5)));
	} else if (c <= 2.2e-212) {
		tmp = t_4;
	} else if (c <= 1.5e-156) {
		tmp = (x * b) * ((y * a) - (j * y0));
	} else if (c <= 2.6e-29) {
		tmp = t_3;
	} else if (c <= 1.35e+17) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (c <= 5.5e+200) {
		tmp = a * (t_5 + (y1 * ((z * y3) - (x * y2))));
	} 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) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_2 = (x * y) - (z * t)
    t_3 = b * (((a * t_2) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))))
    t_5 = b * t_2
    if (c <= (-4.5d+186)) then
        tmp = t_1
    else if (c <= (-6d+107)) then
        tmp = t_3
    else if (c <= (-3.5d+57)) then
        tmp = t_1
    else if (c <= (-3.1d-75)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (c <= (-3.1d-259)) then
        tmp = t_4
    else if (c <= 3.6d-261) then
        tmp = a * ((t_5 - (x * (y1 * y2))) + (t * (y2 * y5)))
    else if (c <= 2.2d-212) then
        tmp = t_4
    else if (c <= 1.5d-156) then
        tmp = (x * b) * ((y * a) - (j * y0))
    else if (c <= 2.6d-29) then
        tmp = t_3
    else if (c <= 1.35d+17) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (c <= 5.5d+200) then
        tmp = a * (t_5 + (y1 * ((z * y3) - (x * y2))))
    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 t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_2 = (x * y) - (z * t);
	double t_3 = b * (((a * t_2) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	double t_5 = b * t_2;
	double tmp;
	if (c <= -4.5e+186) {
		tmp = t_1;
	} else if (c <= -6e+107) {
		tmp = t_3;
	} else if (c <= -3.5e+57) {
		tmp = t_1;
	} else if (c <= -3.1e-75) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (c <= -3.1e-259) {
		tmp = t_4;
	} else if (c <= 3.6e-261) {
		tmp = a * ((t_5 - (x * (y1 * y2))) + (t * (y2 * y5)));
	} else if (c <= 2.2e-212) {
		tmp = t_4;
	} else if (c <= 1.5e-156) {
		tmp = (x * b) * ((y * a) - (j * y0));
	} else if (c <= 2.6e-29) {
		tmp = t_3;
	} else if (c <= 1.35e+17) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (c <= 5.5e+200) {
		tmp = a * (t_5 + (y1 * ((z * y3) - (x * y2))));
	} 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):
	t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_2 = (x * y) - (z * t)
	t_3 = b * (((a * t_2) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))))
	t_5 = b * t_2
	tmp = 0
	if c <= -4.5e+186:
		tmp = t_1
	elif c <= -6e+107:
		tmp = t_3
	elif c <= -3.5e+57:
		tmp = t_1
	elif c <= -3.1e-75:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif c <= -3.1e-259:
		tmp = t_4
	elif c <= 3.6e-261:
		tmp = a * ((t_5 - (x * (y1 * y2))) + (t * (y2 * y5)))
	elif c <= 2.2e-212:
		tmp = t_4
	elif c <= 1.5e-156:
		tmp = (x * b) * ((y * a) - (j * y0))
	elif c <= 2.6e-29:
		tmp = t_3
	elif c <= 1.35e+17:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif c <= 5.5e+200:
		tmp = a * (t_5 + (y1 * ((z * y3) - (x * y2))))
	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)
	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(x * y) - Float64(z * t))
	t_3 = Float64(b * Float64(Float64(Float64(a * t_2) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	t_4 = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(y * Float64(Float64(i * y5) - Float64(b * y4))))))
	t_5 = Float64(b * t_2)
	tmp = 0.0
	if (c <= -4.5e+186)
		tmp = t_1;
	elseif (c <= -6e+107)
		tmp = t_3;
	elseif (c <= -3.5e+57)
		tmp = t_1;
	elseif (c <= -3.1e-75)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (c <= -3.1e-259)
		tmp = t_4;
	elseif (c <= 3.6e-261)
		tmp = Float64(a * Float64(Float64(t_5 - Float64(x * Float64(y1 * y2))) + Float64(t * Float64(y2 * y5))));
	elseif (c <= 2.2e-212)
		tmp = t_4;
	elseif (c <= 1.5e-156)
		tmp = Float64(Float64(x * b) * Float64(Float64(y * a) - Float64(j * y0)));
	elseif (c <= 2.6e-29)
		tmp = t_3;
	elseif (c <= 1.35e+17)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (c <= 5.5e+200)
		tmp = Float64(a * Float64(t_5 + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	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)
	t_1 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_2 = (x * y) - (z * t);
	t_3 = b * (((a * t_2) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	t_5 = b * t_2;
	tmp = 0.0;
	if (c <= -4.5e+186)
		tmp = t_1;
	elseif (c <= -6e+107)
		tmp = t_3;
	elseif (c <= -3.5e+57)
		tmp = t_1;
	elseif (c <= -3.1e-75)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (c <= -3.1e-259)
		tmp = t_4;
	elseif (c <= 3.6e-261)
		tmp = a * ((t_5 - (x * (y1 * y2))) + (t * (y2 * y5)));
	elseif (c <= 2.2e-212)
		tmp = t_4;
	elseif (c <= 1.5e-156)
		tmp = (x * b) * ((y * a) - (j * y0));
	elseif (c <= 2.6e-29)
		tmp = t_3;
	elseif (c <= 1.35e+17)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (c <= 5.5e+200)
		tmp = a * (t_5 + (y1 * ((z * y3) - (x * y2))));
	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_] := 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[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(b * N[(N[(N[(a * t$95$2), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(b * t$95$2), $MachinePrecision]}, If[LessEqual[c, -4.5e+186], t$95$1, If[LessEqual[c, -6e+107], t$95$3, If[LessEqual[c, -3.5e+57], t$95$1, If[LessEqual[c, -3.1e-75], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -3.1e-259], t$95$4, If[LessEqual[c, 3.6e-261], N[(a * N[(N[(t$95$5 - N[(x * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 2.2e-212], t$95$4, If[LessEqual[c, 1.5e-156], N[(N[(x * b), $MachinePrecision] * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 2.6e-29], t$95$3, If[LessEqual[c, 1.35e+17], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 5.5e+200], N[(a * N[(t$95$5 + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $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 9 regimes

2. if c < -4.50000000000000045e186 or -6.00000000000000046e107 < c < -3.4999999999999997e57

   1. Initial program 31.5%

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

   3. Taylor expanded in j around inf 58.6%

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

      1. +-commutative 58.6%

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

      2. mul-1-neg 58.6%

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

      3. unsub-neg 58.6%

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

      4. *-commutative 58.6%

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

   5. Simplified 58.6%

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

   if -4.50000000000000045e186 < c < -6.00000000000000046e107 or 1.5e-156 < c < 2.6000000000000002e-29

   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. Add Preprocessing

   3. Taylor expanded in b around inf 53.9%

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

   if -3.4999999999999997e57 < c < -3.10000000000000007e-75

   1. Initial program 30.7%

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

   3. Taylor expanded in y around inf 50.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 54.5%

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

   if -3.10000000000000007e-75 < c < -3.0999999999999998e-259 or 3.59999999999999999e-261 < c < 2.20000000000000003e-212

   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. Add Preprocessing

   3. Taylor expanded in k around inf 59.4%

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

      1. sub-neg 59.4%

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

      2. +-commutative 59.4%

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

      3. mul-1-neg 59.4%

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

      4. unsub-neg 59.4%

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

      5. *-commutative 59.4%

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

      6. mul-1-neg 59.4%

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

      7. remove-double-neg 59.4%

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

   5. Simplified 59.4%

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

   if -3.0999999999999998e-259 < c < 3.59999999999999999e-261

   1. Initial program 13.0%

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

   3. Taylor expanded in a around inf 47.3%

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

   4. Taylor expanded in y3 around 0 59.3%

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

   if 2.20000000000000003e-212 < c < 1.5e-156

   1. Initial program 36.4%

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

   3. Taylor expanded in b around inf 45.5%

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

   4. Taylor expanded in x around inf 64.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 73.5%

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

      2. *-commutative 73.5%

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

      3. *-commutative 73.5%

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

   6. Simplified 73.5%

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

   if 2.6000000000000002e-29 < c < 1.35e17

   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. Add Preprocessing

   3. Taylor expanded in a around inf 49.9%

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

   4. Taylor expanded in y5 around inf 75.0%

      \[\leadsto \color{blue}{a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 1.35e17 < c < 5.5e200

   1. Initial program 31.6%

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

   3. Taylor expanded in a around inf 43.8%

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

   4. Taylor expanded in y5 around 0 52.4%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 52.4%

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

      2. mul-1-neg 52.4%

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

      3. *-commutative 52.4%

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

      4. unsub-neg 52.4%

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

      5. cancel-sign-sub-inv 52.4%

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

      6. *-commutative 52.4%

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

      7. cancel-sign-sub-inv 52.4%

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

   6. Simplified 52.4%

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

   if 5.5e200 < c

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 55.0%

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

      1. +-commutative 55.0%

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

      2. mul-1-neg 55.0%

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

      3. unsub-neg 55.0%

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

      4. *-commutative 55.0%

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

      5. *-commutative 55.0%

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

      6. *-commutative 55.0%

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

      7. *-commutative 55.0%

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

   5. Simplified 55.0%

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

   6. Taylor expanded in c around inf 56.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 57.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -4.5 \cdot 10^{+186}:\\ \;\;\;\;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}\;c \leq -6 \cdot 10^{+107}:\\ \;\;\;\;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}\;c \leq -3.5 \cdot 10^{+57}:\\ \;\;\;\;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}\;c \leq -3.1 \cdot 10^{-75}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -3.1 \cdot 10^{-259}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;c \leq 3.6 \cdot 10^{-261}:\\ \;\;\;\;a \cdot \left(\left(b \cdot \left(x \cdot y - z \cdot t\right) - x \cdot \left(y1 \cdot y2\right)\right) + t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 2.2 \cdot 10^{-212}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{-156}:\\ \;\;\;\;\left(x \cdot b\right) \cdot \left(y \cdot a - j \cdot y0\right)\\ \mathbf{elif}\;c \leq 2.6 \cdot 10^{-29}:\\ \;\;\;\;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}\;c \leq 1.35 \cdot 10^{+17}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 5.5 \cdot 10^{+200}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 34.8% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot y1 - b \cdot y0\\ t_2 := x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t\_1\right)\\ t_3 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot t\_1\right)\\ t_4 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ t_5 := x \cdot y - z \cdot t\\ t_6 := b \cdot t\_5\\ \mathbf{if}\;c \leq -1 \cdot 10^{+192}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq -8.5 \cdot 10^{+106}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{+56}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq -4.7 \cdot 10^{-79}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -2.4 \cdot 10^{-259}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{-261}:\\ \;\;\;\;a \cdot \left(\left(t\_6 - x \cdot \left(y1 \cdot y2\right)\right) + t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 1.65 \cdot 10^{-218}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;c \leq 1.05 \cdot 10^{-155}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;c \leq 4 \cdot 10^{-28}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_5 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 1.02 \cdot 10^{+18}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{+201}:\\ \;\;\;\;a \cdot \left(t\_6 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* i y1) (* b y0)))
        (t_2
         (*
          x
          (+
           (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
           (* j t_1))))
        (t_3
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x t_1))))
        (t_4
         (*
          k
          (+
           (* z (- (* b y0) (* i y1)))
           (+ (* y2 (- (* y1 y4) (* y0 y5))) (* y (- (* i y5) (* b y4)))))))
        (t_5 (- (* x y) (* z t)))
        (t_6 (* b t_5)))
   (if (<= c -1e+192)
     t_3
     (if (<= c -8.5e+106)
       t_2
       (if (<= c -4.2e+56)
         t_3
         (if (<= c -4.7e-79)
           (* y (* y3 (- (* c y4) (* a y5))))
           (if (<= c -2.4e-259)
             t_4
             (if (<= c 1.35e-261)
               (* a (+ (- t_6 (* x (* y1 y2))) (* t (* y2 y5))))
               (if (<= c 1.65e-218)
                 t_4
                 (if (<= c 1.05e-155)
                   t_2
                   (if (<= c 4e-28)
                     (*
                      b
                      (+
                       (+ (* a t_5) (* y4 (- (* t j) (* y k))))
                       (* y0 (- (* z k) (* x j)))))
                     (if (<= c 1.02e+18)
                       (* a (* y5 (- (* t y2) (* y y3))))
                       (if (<= c 1.5e+201)
                         (* a (+ t_6 (* y1 (- (* z y3) (* x y2)))))
                         (* 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 t_1 = (i * y1) - (b * y0);
	double t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	double t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_1));
	double t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	double t_5 = (x * y) - (z * t);
	double t_6 = b * t_5;
	double tmp;
	if (c <= -1e+192) {
		tmp = t_3;
	} else if (c <= -8.5e+106) {
		tmp = t_2;
	} else if (c <= -4.2e+56) {
		tmp = t_3;
	} else if (c <= -4.7e-79) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (c <= -2.4e-259) {
		tmp = t_4;
	} else if (c <= 1.35e-261) {
		tmp = a * ((t_6 - (x * (y1 * y2))) + (t * (y2 * y5)));
	} else if (c <= 1.65e-218) {
		tmp = t_4;
	} else if (c <= 1.05e-155) {
		tmp = t_2;
	} else if (c <= 4e-28) {
		tmp = b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (c <= 1.02e+18) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (c <= 1.5e+201) {
		tmp = a * (t_6 + (y1 * ((z * y3) - (x * y2))));
	} 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) :: 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 = (i * y1) - (b * y0)
    t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))
    t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_1))
    t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))))
    t_5 = (x * y) - (z * t)
    t_6 = b * t_5
    if (c <= (-1d+192)) then
        tmp = t_3
    else if (c <= (-8.5d+106)) then
        tmp = t_2
    else if (c <= (-4.2d+56)) then
        tmp = t_3
    else if (c <= (-4.7d-79)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (c <= (-2.4d-259)) then
        tmp = t_4
    else if (c <= 1.35d-261) then
        tmp = a * ((t_6 - (x * (y1 * y2))) + (t * (y2 * y5)))
    else if (c <= 1.65d-218) then
        tmp = t_4
    else if (c <= 1.05d-155) then
        tmp = t_2
    else if (c <= 4d-28) then
        tmp = b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    else if (c <= 1.02d+18) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (c <= 1.5d+201) then
        tmp = a * (t_6 + (y1 * ((z * y3) - (x * y2))))
    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 t_1 = (i * y1) - (b * y0);
	double t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	double t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_1));
	double t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	double t_5 = (x * y) - (z * t);
	double t_6 = b * t_5;
	double tmp;
	if (c <= -1e+192) {
		tmp = t_3;
	} else if (c <= -8.5e+106) {
		tmp = t_2;
	} else if (c <= -4.2e+56) {
		tmp = t_3;
	} else if (c <= -4.7e-79) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (c <= -2.4e-259) {
		tmp = t_4;
	} else if (c <= 1.35e-261) {
		tmp = a * ((t_6 - (x * (y1 * y2))) + (t * (y2 * y5)));
	} else if (c <= 1.65e-218) {
		tmp = t_4;
	} else if (c <= 1.05e-155) {
		tmp = t_2;
	} else if (c <= 4e-28) {
		tmp = b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (c <= 1.02e+18) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (c <= 1.5e+201) {
		tmp = a * (t_6 + (y1 * ((z * y3) - (x * y2))));
	} 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):
	t_1 = (i * y1) - (b * y0)
	t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))
	t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_1))
	t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))))
	t_5 = (x * y) - (z * t)
	t_6 = b * t_5
	tmp = 0
	if c <= -1e+192:
		tmp = t_3
	elif c <= -8.5e+106:
		tmp = t_2
	elif c <= -4.2e+56:
		tmp = t_3
	elif c <= -4.7e-79:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif c <= -2.4e-259:
		tmp = t_4
	elif c <= 1.35e-261:
		tmp = a * ((t_6 - (x * (y1 * y2))) + (t * (y2 * y5)))
	elif c <= 1.65e-218:
		tmp = t_4
	elif c <= 1.05e-155:
		tmp = t_2
	elif c <= 4e-28:
		tmp = b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	elif c <= 1.02e+18:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif c <= 1.5e+201:
		tmp = a * (t_6 + (y1 * ((z * y3) - (x * y2))))
	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)
	t_1 = Float64(Float64(i * y1) - Float64(b * y0))
	t_2 = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * t_1)))
	t_3 = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * t_1)))
	t_4 = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(y * Float64(Float64(i * y5) - Float64(b * y4))))))
	t_5 = Float64(Float64(x * y) - Float64(z * t))
	t_6 = Float64(b * t_5)
	tmp = 0.0
	if (c <= -1e+192)
		tmp = t_3;
	elseif (c <= -8.5e+106)
		tmp = t_2;
	elseif (c <= -4.2e+56)
		tmp = t_3;
	elseif (c <= -4.7e-79)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (c <= -2.4e-259)
		tmp = t_4;
	elseif (c <= 1.35e-261)
		tmp = Float64(a * Float64(Float64(t_6 - Float64(x * Float64(y1 * y2))) + Float64(t * Float64(y2 * y5))));
	elseif (c <= 1.65e-218)
		tmp = t_4;
	elseif (c <= 1.05e-155)
		tmp = t_2;
	elseif (c <= 4e-28)
		tmp = Float64(b * Float64(Float64(Float64(a * t_5) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (c <= 1.02e+18)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (c <= 1.5e+201)
		tmp = Float64(a * Float64(t_6 + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	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)
	t_1 = (i * y1) - (b * y0);
	t_2 = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_1));
	t_4 = k * ((z * ((b * y0) - (i * y1))) + ((y2 * ((y1 * y4) - (y0 * y5))) + (y * ((i * y5) - (b * y4)))));
	t_5 = (x * y) - (z * t);
	t_6 = b * t_5;
	tmp = 0.0;
	if (c <= -1e+192)
		tmp = t_3;
	elseif (c <= -8.5e+106)
		tmp = t_2;
	elseif (c <= -4.2e+56)
		tmp = t_3;
	elseif (c <= -4.7e-79)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (c <= -2.4e-259)
		tmp = t_4;
	elseif (c <= 1.35e-261)
		tmp = a * ((t_6 - (x * (y1 * y2))) + (t * (y2 * y5)));
	elseif (c <= 1.65e-218)
		tmp = t_4;
	elseif (c <= 1.05e-155)
		tmp = t_2;
	elseif (c <= 4e-28)
		tmp = b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	elseif (c <= 1.02e+18)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (c <= 1.5e+201)
		tmp = a * (t_6 + (y1 * ((z * y3) - (x * y2))));
	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_] := Block[{t$95$1 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = 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 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(b * t$95$5), $MachinePrecision]}, If[LessEqual[c, -1e+192], t$95$3, If[LessEqual[c, -8.5e+106], t$95$2, If[LessEqual[c, -4.2e+56], t$95$3, If[LessEqual[c, -4.7e-79], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -2.4e-259], t$95$4, If[LessEqual[c, 1.35e-261], N[(a * N[(N[(t$95$6 - N[(x * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.65e-218], t$95$4, If[LessEqual[c, 1.05e-155], t$95$2, If[LessEqual[c, 4e-28], N[(b * N[(N[(N[(a * t$95$5), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.02e+18], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.5e+201], N[(a * N[(t$95$6 + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $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 9 regimes

2. if c < -1.00000000000000004e192 or -8.4999999999999992e106 < c < -4.20000000000000034e56

   1. Initial program 30.5%

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

   3. Taylor expanded in j around inf 61.8%

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

      1. +-commutative 61.8%

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

      2. mul-1-neg 61.8%

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

      3. unsub-neg 61.8%

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

      4. *-commutative 61.8%

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

   5. Simplified 61.8%

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

   if -1.00000000000000004e192 < c < -8.4999999999999992e106 or 1.65000000000000012e-218 < c < 1.0500000000000001e-155

   1. Initial program 37.8%

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

   3. Taylor expanded in x around inf 63.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -4.20000000000000034e56 < c < -4.7000000000000002e-79

   1. Initial program 30.7%

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

   3. Taylor expanded in y around inf 50.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 54.5%

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

   if -4.7000000000000002e-79 < c < -2.4000000000000001e-259 or 1.3499999999999999e-261 < c < 1.65000000000000012e-218

   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. Add Preprocessing

   3. Taylor expanded in k around inf 59.4%

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

      1. sub-neg 59.4%

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

      2. +-commutative 59.4%

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

      3. mul-1-neg 59.4%

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

      4. unsub-neg 59.4%

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

      5. *-commutative 59.4%

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

      6. mul-1-neg 59.4%

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

      7. remove-double-neg 59.4%

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

   5. Simplified 59.4%

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

   if -2.4000000000000001e-259 < c < 1.3499999999999999e-261

   1. Initial program 13.0%

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

   3. Taylor expanded in a around inf 47.3%

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

   4. Taylor expanded in y3 around 0 59.3%

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

   if 1.0500000000000001e-155 < c < 3.99999999999999988e-28

   1. Initial program 21.2%

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

   3. Taylor expanded in b around inf 54.8%

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

   if 3.99999999999999988e-28 < c < 1.02e18

   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. Add Preprocessing

   3. Taylor expanded in a around inf 49.9%

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

   4. Taylor expanded in y5 around inf 75.0%

      \[\leadsto \color{blue}{a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 1.02e18 < c < 1.50000000000000012e201

   1. Initial program 31.6%

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

   3. Taylor expanded in a around inf 43.8%

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

   4. Taylor expanded in y5 around 0 52.4%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 52.4%

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

      2. mul-1-neg 52.4%

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

      3. *-commutative 52.4%

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

      4. unsub-neg 52.4%

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

      5. cancel-sign-sub-inv 52.4%

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

      6. *-commutative 52.4%

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

      7. cancel-sign-sub-inv 52.4%

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

   6. Simplified 52.4%

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

   if 1.50000000000000012e201 < c

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 55.0%

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

      1. +-commutative 55.0%

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

      2. mul-1-neg 55.0%

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

      3. unsub-neg 55.0%

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

      4. *-commutative 55.0%

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

      5. *-commutative 55.0%

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

      6. *-commutative 55.0%

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

      7. *-commutative 55.0%

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

   5. Simplified 55.0%

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

   6. Taylor expanded in c around inf 56.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 58.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -1 \cdot 10^{+192}:\\ \;\;\;\;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}\;c \leq -8.5 \cdot 10^{+106}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{+56}:\\ \;\;\;\;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}\;c \leq -4.7 \cdot 10^{-79}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -2.4 \cdot 10^{-259}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{-261}:\\ \;\;\;\;a \cdot \left(\left(b \cdot \left(x \cdot y - z \cdot t\right) - x \cdot \left(y1 \cdot y2\right)\right) + t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 1.65 \cdot 10^{-218}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;c \leq 1.05 \cdot 10^{-155}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 4 \cdot 10^{-28}:\\ \;\;\;\;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}\;c \leq 1.02 \cdot 10^{+18}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 1.5 \cdot 10^{+201}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 34.5% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := c \cdot y0 - a \cdot y1\\ t_3 := x \cdot j - z \cdot k\\ t_4 := x \cdot y - z \cdot t\\ t_5 := b \cdot t\_4 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\\ \mathbf{if}\;y4 \leq -6.2 \cdot 10^{+221}:\\ \;\;\;\;k \cdot \left(y2 \cdot t\_1\right)\\ \mathbf{elif}\;y4 \leq -7.8 \cdot 10^{+97}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq -4.1 \cdot 10^{-80}:\\ \;\;\;\;t\_3 \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y4 \leq 1.3 \cdot 10^{-193}:\\ \;\;\;\;i \cdot \left(y1 \cdot t\_3 + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 7.5 \cdot 10^{-146}:\\ \;\;\;\;a \cdot \left(t\_5 + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 1.85 \cdot 10^{-61}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_1 + x \cdot t\_2\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.55 \cdot 10^{+111}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_4 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 3.2 \cdot 10^{+150}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(x \cdot y1 - t \cdot y5\right)\\ \mathbf{elif}\;y4 \leq 1.5 \cdot 10^{+180}:\\ \;\;\;\;a \cdot t\_5\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t\_2\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2 (- (* c y0) (* a y1)))
        (t_3 (- (* x j) (* z k)))
        (t_4 (- (* x y) (* z t)))
        (t_5 (+ (* b t_4) (* y1 (- (* z y3) (* x y2))))))
   (if (<= y4 -6.2e+221)
     (* k (* y2 t_1))
     (if (<= y4 -7.8e+97)
       (* y (* y3 (- (* c y4) (* a y5))))
       (if (<= y4 -4.1e-80)
         (* t_3 (* i y1))
         (if (<= y4 1.3e-193)
           (*
            i
            (+
             (* y1 t_3)
             (+ (* c (- (* z t) (* x y))) (* y5 (- (* y k) (* t j))))))
           (if (<= y4 7.5e-146)
             (* a (+ t_5 (* y5 (- (* t y2) (* y y3)))))
             (if (<= y4 1.85e-61)
               (* y2 (+ (+ (* k t_1) (* x t_2)) (* t (- (* a y5) (* c y4)))))
               (if (<= y4 1.55e+111)
                 (*
                  b
                  (+
                   (+ (* a t_4) (* y4 (- (* t j) (* y k))))
                   (* y0 (- (* z k) (* x j)))))
                 (if (<= y4 3.2e+150)
                   (* (* i j) (- (* x y1) (* t y5)))
                   (if (<= y4 1.5e+180)
                     (* a t_5)
                     (*
                      x
                      (+
                       (+ (* y (- (* a b) (* c i))) (* y2 t_2))
                       (* j (- (* 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 = (y1 * y4) - (y0 * y5);
	double t_2 = (c * y0) - (a * y1);
	double t_3 = (x * j) - (z * k);
	double t_4 = (x * y) - (z * t);
	double t_5 = (b * t_4) + (y1 * ((z * y3) - (x * y2)));
	double tmp;
	if (y4 <= -6.2e+221) {
		tmp = k * (y2 * t_1);
	} else if (y4 <= -7.8e+97) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y4 <= -4.1e-80) {
		tmp = t_3 * (i * y1);
	} else if (y4 <= 1.3e-193) {
		tmp = i * ((y1 * t_3) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	} else if (y4 <= 7.5e-146) {
		tmp = a * (t_5 + (y5 * ((t * y2) - (y * y3))));
	} else if (y4 <= 1.85e-61) {
		tmp = y2 * (((k * t_1) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= 1.55e+111) {
		tmp = b * (((a * t_4) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (y4 <= 3.2e+150) {
		tmp = (i * j) * ((x * y1) - (t * y5));
	} else if (y4 <= 1.5e+180) {
		tmp = a * t_5;
	} else {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * 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) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = (c * y0) - (a * y1)
    t_3 = (x * j) - (z * k)
    t_4 = (x * y) - (z * t)
    t_5 = (b * t_4) + (y1 * ((z * y3) - (x * y2)))
    if (y4 <= (-6.2d+221)) then
        tmp = k * (y2 * t_1)
    else if (y4 <= (-7.8d+97)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (y4 <= (-4.1d-80)) then
        tmp = t_3 * (i * y1)
    else if (y4 <= 1.3d-193) then
        tmp = i * ((y1 * t_3) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))))
    else if (y4 <= 7.5d-146) then
        tmp = a * (t_5 + (y5 * ((t * y2) - (y * y3))))
    else if (y4 <= 1.85d-61) then
        tmp = y2 * (((k * t_1) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
    else if (y4 <= 1.55d+111) then
        tmp = b * (((a * t_4) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    else if (y4 <= 3.2d+150) then
        tmp = (i * j) * ((x * y1) - (t * y5))
    else if (y4 <= 1.5d+180) then
        tmp = a * t_5
    else
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((i * y1) - (b * 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 = (y1 * y4) - (y0 * y5);
	double t_2 = (c * y0) - (a * y1);
	double t_3 = (x * j) - (z * k);
	double t_4 = (x * y) - (z * t);
	double t_5 = (b * t_4) + (y1 * ((z * y3) - (x * y2)));
	double tmp;
	if (y4 <= -6.2e+221) {
		tmp = k * (y2 * t_1);
	} else if (y4 <= -7.8e+97) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y4 <= -4.1e-80) {
		tmp = t_3 * (i * y1);
	} else if (y4 <= 1.3e-193) {
		tmp = i * ((y1 * t_3) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	} else if (y4 <= 7.5e-146) {
		tmp = a * (t_5 + (y5 * ((t * y2) - (y * y3))));
	} else if (y4 <= 1.85e-61) {
		tmp = y2 * (((k * t_1) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= 1.55e+111) {
		tmp = b * (((a * t_4) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (y4 <= 3.2e+150) {
		tmp = (i * j) * ((x * y1) - (t * y5));
	} else if (y4 <= 1.5e+180) {
		tmp = a * t_5;
	} else {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((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 = (y1 * y4) - (y0 * y5)
	t_2 = (c * y0) - (a * y1)
	t_3 = (x * j) - (z * k)
	t_4 = (x * y) - (z * t)
	t_5 = (b * t_4) + (y1 * ((z * y3) - (x * y2)))
	tmp = 0
	if y4 <= -6.2e+221:
		tmp = k * (y2 * t_1)
	elif y4 <= -7.8e+97:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif y4 <= -4.1e-80:
		tmp = t_3 * (i * y1)
	elif y4 <= 1.3e-193:
		tmp = i * ((y1 * t_3) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))))
	elif y4 <= 7.5e-146:
		tmp = a * (t_5 + (y5 * ((t * y2) - (y * y3))))
	elif y4 <= 1.85e-61:
		tmp = y2 * (((k * t_1) + (x * t_2)) + (t * ((a * y5) - (c * y4))))
	elif y4 <= 1.55e+111:
		tmp = b * (((a * t_4) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	elif y4 <= 3.2e+150:
		tmp = (i * j) * ((x * y1) - (t * y5))
	elif y4 <= 1.5e+180:
		tmp = a * t_5
	else:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((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(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(Float64(c * y0) - Float64(a * y1))
	t_3 = Float64(Float64(x * j) - Float64(z * k))
	t_4 = Float64(Float64(x * y) - Float64(z * t))
	t_5 = Float64(Float64(b * t_4) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))))
	tmp = 0.0
	if (y4 <= -6.2e+221)
		tmp = Float64(k * Float64(y2 * t_1));
	elseif (y4 <= -7.8e+97)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y4 <= -4.1e-80)
		tmp = Float64(t_3 * Float64(i * y1));
	elseif (y4 <= 1.3e-193)
		tmp = Float64(i * Float64(Float64(y1 * t_3) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y5 * Float64(Float64(y * k) - Float64(t * j))))));
	elseif (y4 <= 7.5e-146)
		tmp = Float64(a * Float64(t_5 + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (y4 <= 1.85e-61)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * t_2)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= 1.55e+111)
		tmp = Float64(b * Float64(Float64(Float64(a * t_4) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y4 <= 3.2e+150)
		tmp = Float64(Float64(i * j) * Float64(Float64(x * y1) - Float64(t * y5)));
	elseif (y4 <= 1.5e+180)
		tmp = Float64(a * t_5);
	else
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_2)) + Float64(j * 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 = (y1 * y4) - (y0 * y5);
	t_2 = (c * y0) - (a * y1);
	t_3 = (x * j) - (z * k);
	t_4 = (x * y) - (z * t);
	t_5 = (b * t_4) + (y1 * ((z * y3) - (x * y2)));
	tmp = 0.0;
	if (y4 <= -6.2e+221)
		tmp = k * (y2 * t_1);
	elseif (y4 <= -7.8e+97)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (y4 <= -4.1e-80)
		tmp = t_3 * (i * y1);
	elseif (y4 <= 1.3e-193)
		tmp = i * ((y1 * t_3) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	elseif (y4 <= 7.5e-146)
		tmp = a * (t_5 + (y5 * ((t * y2) - (y * y3))));
	elseif (y4 <= 1.85e-61)
		tmp = y2 * (((k * t_1) + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	elseif (y4 <= 1.55e+111)
		tmp = b * (((a * t_4) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	elseif (y4 <= 3.2e+150)
		tmp = (i * j) * ((x * y1) - (t * y5));
	elseif (y4 <= 1.5e+180)
		tmp = a * t_5;
	else
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * ((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[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(b * t$95$4), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -6.2e+221], N[(k * N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -7.8e+97], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -4.1e-80], N[(t$95$3 * N[(i * y1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.3e-193], N[(i * N[(N[(y1 * t$95$3), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 7.5e-146], N[(a * N[(t$95$5 + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.85e-61], N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.55e+111], N[(b * N[(N[(N[(a * t$95$4), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.2e+150], N[(N[(i * j), $MachinePrecision] * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.5e+180], N[(a * t$95$5), $MachinePrecision], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y4 < -6.20000000000000013e221

   1. Initial program 9.4%

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

   3. Taylor expanded in k around inf 36.7%

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

      1. sub-neg 36.7%

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

      2. +-commutative 36.7%

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

      3. mul-1-neg 36.7%

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

      4. unsub-neg 36.7%

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

      5. *-commutative 36.7%

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

      6. mul-1-neg 36.7%

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

      7. remove-double-neg 36.7%

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

   5. Simplified 36.7%

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

   6. Taylor expanded in y2 around inf 50.9%

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

   if -6.20000000000000013e221 < y4 < -7.7999999999999999e97

   1. Initial program 34.9%

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

   3. Taylor expanded in y around inf 67.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 54.4%

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

   if -7.7999999999999999e97 < y4 < -4.0999999999999999e-80

   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. Add Preprocessing

   3. Taylor expanded in i around -inf 43.8%

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

   4. Taylor expanded in y1 around inf 57.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 60.5%

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

      2. *-commutative 60.5%

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

   6. Simplified 60.5%

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

   if -4.0999999999999999e-80 < y4 < 1.30000000000000004e-193

   1. Initial program 32.2%

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

   3. Taylor expanded in i around -inf 45.6%

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

   if 1.30000000000000004e-193 < y4 < 7.49999999999999981e-146

   1. Initial program 42.1%

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

   3. Taylor expanded in a around inf 79.3%

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

   if 7.49999999999999981e-146 < y4 < 1.85e-61

   1. Initial program 15.4%

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

   3. Taylor expanded in y2 around inf 92.2%

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

   if 1.85e-61 < y4 < 1.55e111

   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. Add Preprocessing

   3. Taylor expanded in b around inf 58.6%

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

   if 1.55e111 < y4 < 3.20000000000000016e150

   1. Initial program 50.0%

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

   3. Taylor expanded in i around -inf 51.8%

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

   4. Taylor expanded in j around inf 76.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 76.2%

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

      2. *-commutative 76.2%

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

   6. Simplified 76.2%

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

   if 3.20000000000000016e150 < y4 < 1.50000000000000001e180

   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. Add Preprocessing

   3. Taylor expanded in a around inf 75.1%

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

   4. Taylor expanded in y5 around 0 75.8%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 75.8%

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

      2. mul-1-neg 75.8%

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

      3. *-commutative 75.8%

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

      4. unsub-neg 75.8%

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

      5. cancel-sign-sub-inv 75.8%

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

      6. *-commutative 75.8%

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

      7. cancel-sign-sub-inv 75.8%

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

   6. Simplified 75.8%

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

   if 1.50000000000000001e180 < y4

   1. Initial program 21.1%

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

   3. Taylor expanded in x around inf 62.9%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 58.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -6.2 \cdot 10^{+221}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq -7.8 \cdot 10^{+97}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq -4.1 \cdot 10^{-80}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y4 \leq 1.3 \cdot 10^{-193}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 7.5 \cdot 10^{-146}:\\ \;\;\;\;a \cdot \left(\left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 1.85 \cdot 10^{-61}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.55 \cdot 10^{+111}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 3.2 \cdot 10^{+150}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(x \cdot y1 - t \cdot y5\right)\\ \mathbf{elif}\;y4 \leq 1.5 \cdot 10^{+180}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 35.4% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{if}\;y5 \leq -6.8 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -42000000000000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq -9.6 \cdot 10^{-81}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq -1.15 \cdot 10^{-249}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 4.7 \cdot 10^{-256}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y5 \leq 2.5 \cdot 10^{-202}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.25 \cdot 10^{-127}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 4 \cdot 10^{+30}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 4 \cdot 10^{+90}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (+ (* b (- (* x y) (* z t))) (* y1 (- (* z y3) (* x y2)))))))
   (if (<= y5 -6.8e+106)
     (* y (* y5 (- (* i k) (* a y3))))
     (if (<= y5 -42000000000000.0)
       t_1
       (if (<= y5 -9.6e-81)
         (* k (* z (- (* b y0) (* i y1))))
         (if (<= y5 -1.15e-249)
           t_1
           (if (<= y5 4.7e-256)
             (* (- (* x j) (* z k)) (* i y1))
             (if (<= y5 2.5e-202)
               (* a (* x (- (* y b) (* y1 y2))))
               (if (<= y5 1.25e-127)
                 t_1
                 (if (<= y5 4e+30)
                   (* a (* z (- (* y1 y3) (* t b))))
                   (if (<= y5 4e+90)
                     t_1
                     (* y0 (* y5 (- (* j y3) (* k 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 t_1 = a * ((b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2))));
	double tmp;
	if (y5 <= -6.8e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -42000000000000.0) {
		tmp = t_1;
	} else if (y5 <= -9.6e-81) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= -1.15e-249) {
		tmp = t_1;
	} else if (y5 <= 4.7e-256) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if (y5 <= 2.5e-202) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 1.25e-127) {
		tmp = t_1;
	} else if (y5 <= 4e+30) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else if (y5 <= 4e+90) {
		tmp = t_1;
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * 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) :: t_1
    real(8) :: tmp
    t_1 = a * ((b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2))))
    if (y5 <= (-6.8d+106)) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y5 <= (-42000000000000.0d0)) then
        tmp = t_1
    else if (y5 <= (-9.6d-81)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y5 <= (-1.15d-249)) then
        tmp = t_1
    else if (y5 <= 4.7d-256) then
        tmp = ((x * j) - (z * k)) * (i * y1)
    else if (y5 <= 2.5d-202) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 1.25d-127) then
        tmp = t_1
    else if (y5 <= 4d+30) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else if (y5 <= 4d+90) then
        tmp = t_1
    else
        tmp = y0 * (y5 * ((j * y3) - (k * 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 t_1 = a * ((b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2))));
	double tmp;
	if (y5 <= -6.8e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -42000000000000.0) {
		tmp = t_1;
	} else if (y5 <= -9.6e-81) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= -1.15e-249) {
		tmp = t_1;
	} else if (y5 <= 4.7e-256) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if (y5 <= 2.5e-202) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 1.25e-127) {
		tmp = t_1;
	} else if (y5 <= 4e+30) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else if (y5 <= 4e+90) {
		tmp = t_1;
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2))))
	tmp = 0
	if y5 <= -6.8e+106:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y5 <= -42000000000000.0:
		tmp = t_1
	elif y5 <= -9.6e-81:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y5 <= -1.15e-249:
		tmp = t_1
	elif y5 <= 4.7e-256:
		tmp = ((x * j) - (z * k)) * (i * y1)
	elif y5 <= 2.5e-202:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 1.25e-127:
		tmp = t_1
	elif y5 <= 4e+30:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	elif y5 <= 4e+90:
		tmp = t_1
	else:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))))
	tmp = 0.0
	if (y5 <= -6.8e+106)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y5 <= -42000000000000.0)
		tmp = t_1;
	elseif (y5 <= -9.6e-81)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y5 <= -1.15e-249)
		tmp = t_1;
	elseif (y5 <= 4.7e-256)
		tmp = Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(i * y1));
	elseif (y5 <= 2.5e-202)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 1.25e-127)
		tmp = t_1;
	elseif (y5 <= 4e+30)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (y5 <= 4e+90)
		tmp = t_1;
	else
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * 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)
	t_1 = a * ((b * ((x * y) - (z * t))) + (y1 * ((z * y3) - (x * y2))));
	tmp = 0.0;
	if (y5 <= -6.8e+106)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y5 <= -42000000000000.0)
		tmp = t_1;
	elseif (y5 <= -9.6e-81)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y5 <= -1.15e-249)
		tmp = t_1;
	elseif (y5 <= 4.7e-256)
		tmp = ((x * j) - (z * k)) * (i * y1);
	elseif (y5 <= 2.5e-202)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 1.25e-127)
		tmp = t_1;
	elseif (y5 <= 4e+30)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	elseif (y5 <= 4e+90)
		tmp = t_1;
	else
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	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[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -6.8e+106], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -42000000000000.0], t$95$1, If[LessEqual[y5, -9.6e-81], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.15e-249], t$95$1, If[LessEqual[y5, 4.7e-256], N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(i * y1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.5e-202], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.25e-127], t$95$1, If[LessEqual[y5, 4e+30], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 4e+90], t$95$1, N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -6.79999999999999989e106

   1. Initial program 34.7%

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

   3. Taylor expanded in y around inf 46.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.7%

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

   if -6.79999999999999989e106 < y5 < -4.2e13 or -9.5999999999999996e-81 < y5 < -1.1499999999999999e-249 or 2.49999999999999986e-202 < y5 < 1.2499999999999999e-127 or 4.0000000000000001e30 < y5 < 3.99999999999999987e90

   1. Initial program 21.6%

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

   3. Taylor expanded in a around inf 52.0%

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

   4. Taylor expanded in y5 around 0 60.7%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 60.7%

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

      2. mul-1-neg 60.7%

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

      3. *-commutative 60.7%

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

      4. unsub-neg 60.7%

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

      5. cancel-sign-sub-inv 60.7%

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

      6. *-commutative 60.7%

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

      7. cancel-sign-sub-inv 60.7%

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

   6. Simplified 60.7%

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

   if -4.2e13 < y5 < -9.5999999999999996e-81

   1. Initial program 22.5%

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

   3. Taylor expanded in k around inf 48.6%

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

      1. sub-neg 48.6%

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

      2. +-commutative 48.6%

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

      3. mul-1-neg 48.6%

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

      4. unsub-neg 48.6%

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

      5. *-commutative 48.6%

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

      6. mul-1-neg 48.6%

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

      7. remove-double-neg 48.6%

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

   5. Simplified 48.6%

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

   6. Taylor expanded in z around inf 46.0%

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

   if -1.1499999999999999e-249 < y5 < 4.69999999999999982e-256

   1. Initial program 30.6%

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

   3. Taylor expanded in i around -inf 48.4%

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

   4. Taylor expanded in y1 around inf 57.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 52.8%

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

      2. *-commutative 52.8%

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

   6. Simplified 52.8%

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

   if 4.69999999999999982e-256 < y5 < 2.49999999999999986e-202

   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. Add Preprocessing

   3. Taylor expanded in a around inf 16.3%

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

   4. Taylor expanded in x around inf 54.9%

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

      1. +-commutative 54.9%

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

      2. mul-1-neg 54.9%

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

      3. unsub-neg 54.9%

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

      4. *-commutative 54.9%

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

      5. *-commutative 54.9%

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

   6. Simplified 54.9%

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

   if 1.2499999999999999e-127 < y5 < 4.0000000000000001e30

   1. Initial program 38.0%

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

   3. Taylor expanded in a around inf 48.6%

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

   4. Taylor expanded in z around inf 43.9%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 43.9%

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

      2. mul-1-neg 43.9%

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

      3. unsub-neg 43.9%

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

      4. *-commutative 43.9%

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

   6. Simplified 43.9%

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

   if 3.99999999999999987e90 < y5

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 39.5%

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

      1. +-commutative 39.5%

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

      2. mul-1-neg 39.5%

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

      3. unsub-neg 39.5%

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

      4. *-commutative 39.5%

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

      5. *-commutative 39.5%

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

      6. *-commutative 39.5%

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

      7. *-commutative 39.5%

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

   5. Simplified 39.5%

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

   6. Taylor expanded in y5 around inf 57.2%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 57.2%

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

   8. Simplified 57.2%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot j - k \cdot y2\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 53.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -6.8 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -42000000000000:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -9.6 \cdot 10^{-81}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq -1.15 \cdot 10^{-249}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 4.7 \cdot 10^{-256}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y5 \leq 2.5 \cdot 10^{-202}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.25 \cdot 10^{-127}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 4 \cdot 10^{+30}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 4 \cdot 10^{+90}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 34.1% accurate, 1.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ t_2 := b \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{if}\;k \leq -2.2 \cdot 10^{+166}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -1.5 \cdot 10^{+44}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.12 \cdot 10^{-26}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;k \leq -4 \cdot 10^{-59}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -1.66 \cdot 10^{-84}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 2.9 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(t\_2 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 6.8 \cdot 10^{-56}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 800000:\\ \;\;\;\;a \cdot \left(\left(t\_2 - x \cdot \left(y1 \cdot y2\right)\right) + t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 3 \cdot 10^{+95}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{+145}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (- (* x j) (* z k)) (* i y1))) (t_2 (* b (- (* x y) (* z t)))))
   (if (<= k -2.2e+166)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= k -1.5e+44)
       (* y0 (* k (- (* z b) (* y2 y5))))
       (if (<= k -1.12e-26)
         (* b (* y4 (- (* t j) (* y k))))
         (if (<= k -4e-59)
           t_1
           (if (<= k -1.66e-84)
             (* c (* y0 (- (* x y2) (* z y3))))
             (if (<= k 2.9e-106)
               (* a (+ t_2 (* y1 (- (* z y3) (* x y2)))))
               (if (<= k 6.8e-56)
                 t_1
                 (if (<= k 800000.0)
                   (* a (+ (- t_2 (* x (* y1 y2))) (* t (* y2 y5))))
                   (if (<= k 3e+95)
                     t_1
                     (if (<= k 1.45e+145)
                       (* y0 (* y5 (- (* j y3) (* k y2))))
                       (* k (* z (- (* b y0) (* i 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 = ((x * j) - (z * k)) * (i * y1);
	double t_2 = b * ((x * y) - (z * t));
	double tmp;
	if (k <= -2.2e+166) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (k <= -1.5e+44) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (k <= -1.12e-26) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (k <= -4e-59) {
		tmp = t_1;
	} else if (k <= -1.66e-84) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= 2.9e-106) {
		tmp = a * (t_2 + (y1 * ((z * y3) - (x * y2))));
	} else if (k <= 6.8e-56) {
		tmp = t_1;
	} else if (k <= 800000.0) {
		tmp = a * ((t_2 - (x * (y1 * y2))) + (t * (y2 * y5)));
	} else if (k <= 3e+95) {
		tmp = t_1;
	} else if (k <= 1.45e+145) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else {
		tmp = k * (z * ((b * y0) - (i * 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) :: tmp
    t_1 = ((x * j) - (z * k)) * (i * y1)
    t_2 = b * ((x * y) - (z * t))
    if (k <= (-2.2d+166)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (k <= (-1.5d+44)) then
        tmp = y0 * (k * ((z * b) - (y2 * y5)))
    else if (k <= (-1.12d-26)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (k <= (-4d-59)) then
        tmp = t_1
    else if (k <= (-1.66d-84)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (k <= 2.9d-106) then
        tmp = a * (t_2 + (y1 * ((z * y3) - (x * y2))))
    else if (k <= 6.8d-56) then
        tmp = t_1
    else if (k <= 800000.0d0) then
        tmp = a * ((t_2 - (x * (y1 * y2))) + (t * (y2 * y5)))
    else if (k <= 3d+95) then
        tmp = t_1
    else if (k <= 1.45d+145) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else
        tmp = k * (z * ((b * y0) - (i * 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 = ((x * j) - (z * k)) * (i * y1);
	double t_2 = b * ((x * y) - (z * t));
	double tmp;
	if (k <= -2.2e+166) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (k <= -1.5e+44) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (k <= -1.12e-26) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (k <= -4e-59) {
		tmp = t_1;
	} else if (k <= -1.66e-84) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= 2.9e-106) {
		tmp = a * (t_2 + (y1 * ((z * y3) - (x * y2))));
	} else if (k <= 6.8e-56) {
		tmp = t_1;
	} else if (k <= 800000.0) {
		tmp = a * ((t_2 - (x * (y1 * y2))) + (t * (y2 * y5)));
	} else if (k <= 3e+95) {
		tmp = t_1;
	} else if (k <= 1.45e+145) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else {
		tmp = k * (z * ((b * y0) - (i * y1)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = ((x * j) - (z * k)) * (i * y1)
	t_2 = b * ((x * y) - (z * t))
	tmp = 0
	if k <= -2.2e+166:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif k <= -1.5e+44:
		tmp = y0 * (k * ((z * b) - (y2 * y5)))
	elif k <= -1.12e-26:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif k <= -4e-59:
		tmp = t_1
	elif k <= -1.66e-84:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif k <= 2.9e-106:
		tmp = a * (t_2 + (y1 * ((z * y3) - (x * y2))))
	elif k <= 6.8e-56:
		tmp = t_1
	elif k <= 800000.0:
		tmp = a * ((t_2 - (x * (y1 * y2))) + (t * (y2 * y5)))
	elif k <= 3e+95:
		tmp = t_1
	elif k <= 1.45e+145:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	else:
		tmp = k * (z * ((b * y0) - (i * 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(Float64(Float64(x * j) - Float64(z * k)) * Float64(i * y1))
	t_2 = Float64(b * Float64(Float64(x * y) - Float64(z * t)))
	tmp = 0.0
	if (k <= -2.2e+166)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (k <= -1.5e+44)
		tmp = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (k <= -1.12e-26)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (k <= -4e-59)
		tmp = t_1;
	elseif (k <= -1.66e-84)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (k <= 2.9e-106)
		tmp = Float64(a * Float64(t_2 + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (k <= 6.8e-56)
		tmp = t_1;
	elseif (k <= 800000.0)
		tmp = Float64(a * Float64(Float64(t_2 - Float64(x * Float64(y1 * y2))) + Float64(t * Float64(y2 * y5))));
	elseif (k <= 3e+95)
		tmp = t_1;
	elseif (k <= 1.45e+145)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	else
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * 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 = ((x * j) - (z * k)) * (i * y1);
	t_2 = b * ((x * y) - (z * t));
	tmp = 0.0;
	if (k <= -2.2e+166)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (k <= -1.5e+44)
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	elseif (k <= -1.12e-26)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (k <= -4e-59)
		tmp = t_1;
	elseif (k <= -1.66e-84)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (k <= 2.9e-106)
		tmp = a * (t_2 + (y1 * ((z * y3) - (x * y2))));
	elseif (k <= 6.8e-56)
		tmp = t_1;
	elseif (k <= 800000.0)
		tmp = a * ((t_2 - (x * (y1 * y2))) + (t * (y2 * y5)));
	elseif (k <= 3e+95)
		tmp = t_1;
	elseif (k <= 1.45e+145)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	else
		tmp = k * (z * ((b * y0) - (i * 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[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(i * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -2.2e+166], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.5e+44], N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.12e-26], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4e-59], t$95$1, If[LessEqual[k, -1.66e-84], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.9e-106], N[(a * N[(t$95$2 + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 6.8e-56], t$95$1, If[LessEqual[k, 800000.0], N[(a * N[(N[(t$95$2 - N[(x * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 3e+95], t$95$1, If[LessEqual[k, 1.45e+145], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if k < -2.1999999999999999e166

   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. Add Preprocessing

   3. Taylor expanded in y around inf 49.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in b around -inf 52.0%

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

      1. mul-1-neg 52.0%

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

      2. distribute-rgt-neg-in 52.0%

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

      3. +-commutative 52.0%

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

      4. mul-1-neg 52.0%

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

      5. unsub-neg 52.0%

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

      6. *-commutative 52.0%

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

      7. *-commutative 52.0%

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

   6. Simplified 52.0%

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

   if -2.1999999999999999e166 < k < -1.49999999999999993e44

   1. Initial program 39.4%

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

   3. Taylor expanded in y0 around inf 57.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. 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%

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

      5. *-commutative 57.1%

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

      6. *-commutative 57.1%

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

      7. *-commutative 57.1%

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

   5. Simplified 57.1%

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

   6. Taylor expanded in k around -inf 57.6%

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

      1. +-commutative 57.6%

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

      2. mul-1-neg 57.6%

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

      3. sub-neg 57.6%

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

      4. *-commutative 57.6%

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

   8. Simplified 57.6%

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

   if -1.49999999999999993e44 < k < -1.12e-26

   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. Add Preprocessing

   3. Taylor expanded in b around inf 71.9%

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

   4. Taylor expanded in y4 around inf 64.7%

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

   if -1.12e-26 < k < -4.0000000000000001e-59 or 2.9e-106 < k < 6.79999999999999964e-56 or 8e5 < k < 2.99999999999999991e95

   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. Add Preprocessing

   3. Taylor expanded in i around -inf 47.0%

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

   4. Taylor expanded in y1 around inf 58.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 65.4%

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

      2. *-commutative 65.4%

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

   6. Simplified 65.4%

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

   if -4.0000000000000001e-59 < k < -1.6600000000000001e-84

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 72.2%

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

      1. +-commutative 72.2%

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

      2. mul-1-neg 72.2%

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

      3. unsub-neg 72.2%

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

      4. *-commutative 72.2%

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

      5. *-commutative 72.2%

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

      6. *-commutative 72.2%

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

      7. *-commutative 72.2%

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

   5. Simplified 72.2%

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

   6. Taylor expanded in c around inf 72.7%

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

   if -1.6600000000000001e-84 < k < 2.9e-106

   1. Initial program 35.4%

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

   3. Taylor expanded in a around inf 50.3%

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

   4. Taylor expanded in y5 around 0 49.3%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 49.3%

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

      2. mul-1-neg 49.3%

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

      3. *-commutative 49.3%

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

      4. unsub-neg 49.3%

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

      5. cancel-sign-sub-inv 49.3%

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

      6. *-commutative 49.3%

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

      7. cancel-sign-sub-inv 49.3%

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

   6. Simplified 49.3%

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

   if 6.79999999999999964e-56 < k < 8e5

   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. Add Preprocessing

   3. Taylor expanded in a around inf 42.1%

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

   4. Taylor expanded in y3 around 0 54.8%

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

   if 2.99999999999999991e95 < k < 1.45e145

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 67.2%

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

      1. +-commutative 67.2%

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

      2. mul-1-neg 67.2%

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

      3. unsub-neg 67.2%

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

      4. *-commutative 67.2%

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

      5. *-commutative 67.2%

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

      6. *-commutative 67.2%

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

      7. *-commutative 67.2%

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

   5. Simplified 67.2%

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

   6. Taylor expanded in y5 around inf 59.4%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 59.4%

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

   8. Simplified 59.4%

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

   if 1.45e145 < k

   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. Add Preprocessing

   3. Taylor expanded in k around inf 67.7%

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

      1. sub-neg 67.7%

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

      2. +-commutative 67.7%

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

      3. mul-1-neg 67.7%

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

      4. unsub-neg 67.7%

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

      5. *-commutative 67.7%

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

      6. mul-1-neg 67.7%

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

      7. remove-double-neg 67.7%

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

   5. Simplified 67.7%

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

   6. Taylor expanded in z around inf 62.4%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 56.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -2.2 \cdot 10^{+166}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -1.5 \cdot 10^{+44}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.12 \cdot 10^{-26}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;k \leq -4 \cdot 10^{-59}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;k \leq -1.66 \cdot 10^{-84}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 2.9 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 6.8 \cdot 10^{-56}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;k \leq 800000:\\ \;\;\;\;a \cdot \left(\left(b \cdot \left(x \cdot y - z \cdot t\right) - x \cdot \left(y1 \cdot y2\right)\right) + t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 3 \cdot 10^{+95}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{+145}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 35.3% accurate, 1.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := b \cdot t\_1\\ t_3 := \left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{if}\;k \leq -5.2 \cdot 10^{+165}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -8.5 \cdot 10^{+44}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.1 \cdot 10^{-56}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_1 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -5.2 \cdot 10^{-84}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -3.2 \cdot 10^{-124}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;k \leq 6.8 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(t\_2 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.85 \cdot 10^{-57}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;k \leq 64000000000:\\ \;\;\;\;a \cdot \left(\left(t\_2 - x \cdot \left(y1 \cdot y2\right)\right) + t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 3 \cdot 10^{+95}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;k \leq 1.4 \cdot 10^{+146}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2 (* b t_1))
        (t_3 (* (- (* x j) (* z k)) (* i y1))))
   (if (<= k -5.2e+165)
     (* b (* y (- (* x a) (* k y4))))
     (if (<= k -8.5e+44)
       (* y0 (* k (- (* z b) (* y2 y5))))
       (if (<= k -1.1e-56)
         (*
          b
          (+
           (+ (* a t_1) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j)))))
         (if (<= k -5.2e-84)
           (* c (* y0 (- (* x y2) (* z y3))))
           (if (<= k -3.2e-124)
             (* y0 (* j (- (* y3 y5) (* x b))))
             (if (<= k 6.8e-106)
               (* a (+ t_2 (* y1 (- (* z y3) (* x y2)))))
               (if (<= k 1.85e-57)
                 t_3
                 (if (<= k 64000000000.0)
                   (* a (+ (- t_2 (* x (* y1 y2))) (* t (* y2 y5))))
                   (if (<= k 3e+95)
                     t_3
                     (if (<= k 1.4e+146)
                       (* y0 (* y5 (- (* j y3) (* k y2))))
                       (* k (* z (- (* b y0) (* i 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 = (x * y) - (z * t);
	double t_2 = b * t_1;
	double t_3 = ((x * j) - (z * k)) * (i * y1);
	double tmp;
	if (k <= -5.2e+165) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (k <= -8.5e+44) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (k <= -1.1e-56) {
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (k <= -5.2e-84) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= -3.2e-124) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (k <= 6.8e-106) {
		tmp = a * (t_2 + (y1 * ((z * y3) - (x * y2))));
	} else if (k <= 1.85e-57) {
		tmp = t_3;
	} else if (k <= 64000000000.0) {
		tmp = a * ((t_2 - (x * (y1 * y2))) + (t * (y2 * y5)));
	} else if (k <= 3e+95) {
		tmp = t_3;
	} else if (k <= 1.4e+146) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else {
		tmp = k * (z * ((b * y0) - (i * 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 = (x * y) - (z * t)
    t_2 = b * t_1
    t_3 = ((x * j) - (z * k)) * (i * y1)
    if (k <= (-5.2d+165)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (k <= (-8.5d+44)) then
        tmp = y0 * (k * ((z * b) - (y2 * y5)))
    else if (k <= (-1.1d-56)) then
        tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    else if (k <= (-5.2d-84)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (k <= (-3.2d-124)) then
        tmp = y0 * (j * ((y3 * y5) - (x * b)))
    else if (k <= 6.8d-106) then
        tmp = a * (t_2 + (y1 * ((z * y3) - (x * y2))))
    else if (k <= 1.85d-57) then
        tmp = t_3
    else if (k <= 64000000000.0d0) then
        tmp = a * ((t_2 - (x * (y1 * y2))) + (t * (y2 * y5)))
    else if (k <= 3d+95) then
        tmp = t_3
    else if (k <= 1.4d+146) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else
        tmp = k * (z * ((b * y0) - (i * 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 = (x * y) - (z * t);
	double t_2 = b * t_1;
	double t_3 = ((x * j) - (z * k)) * (i * y1);
	double tmp;
	if (k <= -5.2e+165) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (k <= -8.5e+44) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (k <= -1.1e-56) {
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	} else if (k <= -5.2e-84) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= -3.2e-124) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (k <= 6.8e-106) {
		tmp = a * (t_2 + (y1 * ((z * y3) - (x * y2))));
	} else if (k <= 1.85e-57) {
		tmp = t_3;
	} else if (k <= 64000000000.0) {
		tmp = a * ((t_2 - (x * (y1 * y2))) + (t * (y2 * y5)));
	} else if (k <= 3e+95) {
		tmp = t_3;
	} else if (k <= 1.4e+146) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else {
		tmp = k * (z * ((b * y0) - (i * y1)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) - (z * t)
	t_2 = b * t_1
	t_3 = ((x * j) - (z * k)) * (i * y1)
	tmp = 0
	if k <= -5.2e+165:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif k <= -8.5e+44:
		tmp = y0 * (k * ((z * b) - (y2 * y5)))
	elif k <= -1.1e-56:
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	elif k <= -5.2e-84:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif k <= -3.2e-124:
		tmp = y0 * (j * ((y3 * y5) - (x * b)))
	elif k <= 6.8e-106:
		tmp = a * (t_2 + (y1 * ((z * y3) - (x * y2))))
	elif k <= 1.85e-57:
		tmp = t_3
	elif k <= 64000000000.0:
		tmp = a * ((t_2 - (x * (y1 * y2))) + (t * (y2 * y5)))
	elif k <= 3e+95:
		tmp = t_3
	elif k <= 1.4e+146:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	else:
		tmp = k * (z * ((b * y0) - (i * 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(Float64(x * y) - Float64(z * t))
	t_2 = Float64(b * t_1)
	t_3 = Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(i * y1))
	tmp = 0.0
	if (k <= -5.2e+165)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (k <= -8.5e+44)
		tmp = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (k <= -1.1e-56)
		tmp = Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (k <= -5.2e-84)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (k <= -3.2e-124)
		tmp = Float64(y0 * Float64(j * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (k <= 6.8e-106)
		tmp = Float64(a * Float64(t_2 + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	elseif (k <= 1.85e-57)
		tmp = t_3;
	elseif (k <= 64000000000.0)
		tmp = Float64(a * Float64(Float64(t_2 - Float64(x * Float64(y1 * y2))) + Float64(t * Float64(y2 * y5))));
	elseif (k <= 3e+95)
		tmp = t_3;
	elseif (k <= 1.4e+146)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	else
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * 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 = (x * y) - (z * t);
	t_2 = b * t_1;
	t_3 = ((x * j) - (z * k)) * (i * y1);
	tmp = 0.0;
	if (k <= -5.2e+165)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (k <= -8.5e+44)
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	elseif (k <= -1.1e-56)
		tmp = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	elseif (k <= -5.2e-84)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (k <= -3.2e-124)
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	elseif (k <= 6.8e-106)
		tmp = a * (t_2 + (y1 * ((z * y3) - (x * y2))));
	elseif (k <= 1.85e-57)
		tmp = t_3;
	elseif (k <= 64000000000.0)
		tmp = a * ((t_2 - (x * (y1 * y2))) + (t * (y2 * y5)));
	elseif (k <= 3e+95)
		tmp = t_3;
	elseif (k <= 1.4e+146)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	else
		tmp = k * (z * ((b * y0) - (i * 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[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * t$95$1), $MachinePrecision]}, Block[{t$95$3 = N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(i * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -5.2e+165], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -8.5e+44], N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.1e-56], N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -5.2e-84], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3.2e-124], N[(y0 * N[(j * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 6.8e-106], N[(a * N[(t$95$2 + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.85e-57], t$95$3, If[LessEqual[k, 64000000000.0], N[(a * N[(N[(t$95$2 - N[(x * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 3e+95], t$95$3, If[LessEqual[k, 1.4e+146], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -5.2000000000000002e165

   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. Add Preprocessing

   3. Taylor expanded in y around inf 49.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in b around -inf 52.0%

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

      1. mul-1-neg 52.0%

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

      2. distribute-rgt-neg-in 52.0%

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

      3. +-commutative 52.0%

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

      4. mul-1-neg 52.0%

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

      5. unsub-neg 52.0%

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

      6. *-commutative 52.0%

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

      7. *-commutative 52.0%

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

   6. Simplified 52.0%

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

   if -5.2000000000000002e165 < k < -8.5e44

   1. Initial program 39.4%

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

   3. Taylor expanded in y0 around inf 57.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. 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%

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

      5. *-commutative 57.1%

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

      6. *-commutative 57.1%

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

      7. *-commutative 57.1%

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

   5. Simplified 57.1%

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

   6. Taylor expanded in k around -inf 57.6%

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

      1. +-commutative 57.6%

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

      2. mul-1-neg 57.6%

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

      3. sub-neg 57.6%

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

      4. *-commutative 57.6%

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

   8. Simplified 57.6%

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

   if -8.5e44 < k < -1.10000000000000002e-56

   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. Add Preprocessing

   3. Taylor expanded in b around inf 60.6%

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

   if -1.10000000000000002e-56 < k < -5.2e-84

   1. Initial program 22.2%

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

   3. Taylor expanded in y0 around inf 67.3%

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

      1. +-commutative 67.3%

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

      2. mul-1-neg 67.3%

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

      3. unsub-neg 67.3%

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

      4. *-commutative 67.3%

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

      5. *-commutative 67.3%

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

      6. *-commutative 67.3%

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

      7. *-commutative 67.3%

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

   5. Simplified 67.3%

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

   6. Taylor expanded in c around inf 68.1%

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

   if -5.2e-84 < k < -3.20000000000000004e-124

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 26.5%

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

      1. +-commutative 26.5%

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

      2. mul-1-neg 26.5%

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

      3. unsub-neg 26.5%

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

      4. *-commutative 26.5%

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

      5. *-commutative 26.5%

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

      6. *-commutative 26.5%

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

      7. *-commutative 26.5%

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

   5. Simplified 26.5%

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

   6. Taylor expanded in j around inf 64.3%

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

      1. mul-1-neg 64.3%

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

      2. *-commutative 64.3%

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

      3. distribute-lft-neg-in 64.3%

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

      4. mul-1-neg 64.3%

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

      5. distribute-lft-in 64.3%

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

      6. neg-mul-1 64.3%

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

      7. mul-1-neg 64.3%

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

      8. remove-double-neg 64.3%

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

      9. mul-1-neg 64.3%

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

      10. unsub-neg 64.3%

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

      11. *-commutative 64.3%

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

   8. Simplified 64.3%

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

   if -3.20000000000000004e-124 < k < 6.79999999999999965e-106

   1. Initial program 35.1%

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

   3. Taylor expanded in a around inf 51.5%

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

   4. Taylor expanded in y5 around 0 49.2%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 49.2%

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

      2. mul-1-neg 49.2%

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

      3. *-commutative 49.2%

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

      4. unsub-neg 49.2%

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

      5. cancel-sign-sub-inv 49.2%

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

      6. *-commutative 49.2%

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

      7. cancel-sign-sub-inv 49.2%

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

   6. Simplified 49.2%

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

   if 6.79999999999999965e-106 < k < 1.85e-57 or 6.4e10 < k < 2.99999999999999991e95

   1. Initial program 30.0%

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

   3. Taylor expanded in i around -inf 50.3%

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

   4. Taylor expanded in y1 around inf 61.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 70.7%

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

      2. *-commutative 70.7%

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

   6. Simplified 70.7%

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

   if 1.85e-57 < k < 6.4e10

   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. Add Preprocessing

   3. Taylor expanded in a around inf 42.1%

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

   4. Taylor expanded in y3 around 0 54.8%

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

   if 2.99999999999999991e95 < k < 1.4e146

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 67.2%

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

      1. +-commutative 67.2%

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

      2. mul-1-neg 67.2%

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

      3. unsub-neg 67.2%

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

      4. *-commutative 67.2%

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

      5. *-commutative 67.2%

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

      6. *-commutative 67.2%

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

      7. *-commutative 67.2%

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

   5. Simplified 67.2%

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

   6. Taylor expanded in y5 around inf 59.4%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 59.4%

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

   8. Simplified 59.4%

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

   if 1.4e146 < k

   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. Add Preprocessing

   3. Taylor expanded in k around inf 67.7%

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

      1. sub-neg 67.7%

         \[\leadsto k \cdot \color{blue}{\left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right)} \]

      2. +-commutative 67.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      3. mul-1-neg 67.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      4. unsub-neg 67.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      5. *-commutative 67.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      6. mul-1-neg 67.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \left(-\color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right)\right) \]

      7. remove-double-neg 67.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \color{blue}{z \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

   5. Simplified 67.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 62.4%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 56.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -5.2 \cdot 10^{+165}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -8.5 \cdot 10^{+44}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.1 \cdot 10^{-56}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -5.2 \cdot 10^{-84}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -3.2 \cdot 10^{-124}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;k \leq 6.8 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 1.85 \cdot 10^{-57}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;k \leq 64000000000:\\ \;\;\;\;a \cdot \left(\left(b \cdot \left(x \cdot y - z \cdot t\right) - x \cdot \left(y1 \cdot y2\right)\right) + t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 3 \cdot 10^{+95}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;k \leq 1.4 \cdot 10^{+146}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 34.3% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := b \cdot \left(\left(a \cdot t\_1 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_3 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_4 := b \cdot t\_1\\ \mathbf{if}\;c \leq -9.6 \cdot 10^{+185}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq -1.05 \cdot 10^{+109}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;c \leq -5 \cdot 10^{+58}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq -2.5 \cdot 10^{-63}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 1.1 \cdot 10^{-225}:\\ \;\;\;\;a \cdot \left(\left(t\_4 - x \cdot \left(y1 \cdot y2\right)\right) + t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 1.85 \cdot 10^{-28}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;c \leq 1.65 \cdot 10^{+21}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{+205}:\\ \;\;\;\;a \cdot \left(t\_4 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* x y) (* z t)))
        (t_2
         (*
          b
          (+
           (+ (* a t_1) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j))))))
        (t_3
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_4 (* b t_1)))
   (if (<= c -9.6e+185)
     t_3
     (if (<= c -1.05e+109)
       t_2
       (if (<= c -5e+58)
         t_3
         (if (<= c -2.5e-63)
           (* y (* y3 (- (* c y4) (* a y5))))
           (if (<= c 1.1e-225)
             (* a (+ (- t_4 (* x (* y1 y2))) (* t (* y2 y5))))
             (if (<= c 1.85e-28)
               t_2
               (if (<= c 1.65e+21)
                 (* a (* y5 (- (* t y2) (* y y3))))
                 (if (<= c 1.15e+205)
                   (* a (+ t_4 (* y1 (- (* z y3) (* x y2)))))
                   (* 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 t_1 = (x * y) - (z * t);
	double t_2 = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_4 = b * t_1;
	double tmp;
	if (c <= -9.6e+185) {
		tmp = t_3;
	} else if (c <= -1.05e+109) {
		tmp = t_2;
	} else if (c <= -5e+58) {
		tmp = t_3;
	} else if (c <= -2.5e-63) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (c <= 1.1e-225) {
		tmp = a * ((t_4 - (x * (y1 * y2))) + (t * (y2 * y5)));
	} else if (c <= 1.85e-28) {
		tmp = t_2;
	} else if (c <= 1.65e+21) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (c <= 1.15e+205) {
		tmp = a * (t_4 + (y1 * ((z * y3) - (x * y2))));
	} 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) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (x * y) - (z * t)
    t_2 = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_4 = b * t_1
    if (c <= (-9.6d+185)) then
        tmp = t_3
    else if (c <= (-1.05d+109)) then
        tmp = t_2
    else if (c <= (-5d+58)) then
        tmp = t_3
    else if (c <= (-2.5d-63)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (c <= 1.1d-225) then
        tmp = a * ((t_4 - (x * (y1 * y2))) + (t * (y2 * y5)))
    else if (c <= 1.85d-28) then
        tmp = t_2
    else if (c <= 1.65d+21) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (c <= 1.15d+205) then
        tmp = a * (t_4 + (y1 * ((z * y3) - (x * y2))))
    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 t_1 = (x * y) - (z * t);
	double t_2 = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_4 = b * t_1;
	double tmp;
	if (c <= -9.6e+185) {
		tmp = t_3;
	} else if (c <= -1.05e+109) {
		tmp = t_2;
	} else if (c <= -5e+58) {
		tmp = t_3;
	} else if (c <= -2.5e-63) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (c <= 1.1e-225) {
		tmp = a * ((t_4 - (x * (y1 * y2))) + (t * (y2 * y5)));
	} else if (c <= 1.85e-28) {
		tmp = t_2;
	} else if (c <= 1.65e+21) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (c <= 1.15e+205) {
		tmp = a * (t_4 + (y1 * ((z * y3) - (x * y2))));
	} 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):
	t_1 = (x * y) - (z * t)
	t_2 = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_4 = b * t_1
	tmp = 0
	if c <= -9.6e+185:
		tmp = t_3
	elif c <= -1.05e+109:
		tmp = t_2
	elif c <= -5e+58:
		tmp = t_3
	elif c <= -2.5e-63:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif c <= 1.1e-225:
		tmp = a * ((t_4 - (x * (y1 * y2))) + (t * (y2 * y5)))
	elif c <= 1.85e-28:
		tmp = t_2
	elif c <= 1.65e+21:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif c <= 1.15e+205:
		tmp = a * (t_4 + (y1 * ((z * y3) - (x * y2))))
	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)
	t_1 = Float64(Float64(x * y) - Float64(z * t))
	t_2 = Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	t_3 = 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_4 = Float64(b * t_1)
	tmp = 0.0
	if (c <= -9.6e+185)
		tmp = t_3;
	elseif (c <= -1.05e+109)
		tmp = t_2;
	elseif (c <= -5e+58)
		tmp = t_3;
	elseif (c <= -2.5e-63)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (c <= 1.1e-225)
		tmp = Float64(a * Float64(Float64(t_4 - Float64(x * Float64(y1 * y2))) + Float64(t * Float64(y2 * y5))));
	elseif (c <= 1.85e-28)
		tmp = t_2;
	elseif (c <= 1.65e+21)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (c <= 1.15e+205)
		tmp = Float64(a * Float64(t_4 + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))));
	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)
	t_1 = (x * y) - (z * t);
	t_2 = b * (((a * t_1) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	t_3 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_4 = b * t_1;
	tmp = 0.0;
	if (c <= -9.6e+185)
		tmp = t_3;
	elseif (c <= -1.05e+109)
		tmp = t_2;
	elseif (c <= -5e+58)
		tmp = t_3;
	elseif (c <= -2.5e-63)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (c <= 1.1e-225)
		tmp = a * ((t_4 - (x * (y1 * y2))) + (t * (y2 * y5)));
	elseif (c <= 1.85e-28)
		tmp = t_2;
	elseif (c <= 1.65e+21)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (c <= 1.15e+205)
		tmp = a * (t_4 + (y1 * ((z * y3) - (x * y2))));
	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_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = 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$4 = N[(b * t$95$1), $MachinePrecision]}, If[LessEqual[c, -9.6e+185], t$95$3, If[LessEqual[c, -1.05e+109], t$95$2, If[LessEqual[c, -5e+58], t$95$3, If[LessEqual[c, -2.5e-63], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.1e-225], N[(a * N[(N[(t$95$4 - N[(x * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.85e-28], t$95$2, If[LessEqual[c, 1.65e+21], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.15e+205], N[(a * N[(t$95$4 + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $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 7 regimes

2. if c < -9.59999999999999956e185 or -1.0500000000000001e109 < c < -4.99999999999999986e58

   1. Initial program 31.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 58.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 58.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 58.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 58.6%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 58.6%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 58.6%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if -9.59999999999999956e185 < c < -1.0500000000000001e109 or 1.1e-225 < c < 1.8500000000000001e-28

   1. Initial program 27.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 52.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -4.99999999999999986e58 < c < -2.5000000000000001e-63

   1. Initial program 31.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 52.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 52.7%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -2.5000000000000001e-63 < c < 1.1e-225

   1. Initial program 26.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 39.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y3 around 0 49.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(x \cdot \left(y1 \cdot y2\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\right)} \]

   if 1.8500000000000001e-28 < c < 1.65e21

   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. Add Preprocessing

   3. Taylor expanded in a around inf 49.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 75.0%

      \[\leadsto \color{blue}{a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 1.65e21 < c < 1.15000000000000004e205

   1. Initial program 31.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 43.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 52.4%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 52.4%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]

      2. mul-1-neg 52.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \color{blue}{\left(-y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) \]

      3. *-commutative 52.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \left(-\color{blue}{\left(x \cdot y2 - y3 \cdot z\right) \cdot y1}\right)\right) \]

      4. unsub-neg 52.4%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

      5. cancel-sign-sub-inv 52.4%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(x \cdot y + \left(-t\right) \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      6. *-commutative 52.4%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} + \left(-t\right) \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      7. cancel-sign-sub-inv 52.4%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x - t \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

   6. Simplified 52.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

   if 1.15000000000000004e205 < c

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 55.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 55.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 55.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 55.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 55.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 55.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 55.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 55.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 55.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in c around inf 56.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 53.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -9.6 \cdot 10^{+185}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -1.05 \cdot 10^{+109}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -5 \cdot 10^{+58}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -2.5 \cdot 10^{-63}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 1.1 \cdot 10^{-225}:\\ \;\;\;\;a \cdot \left(\left(b \cdot \left(x \cdot y - z \cdot t\right) - x \cdot \left(y1 \cdot y2\right)\right) + t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 1.85 \cdot 10^{-28}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 1.65 \cdot 10^{+21}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq 1.15 \cdot 10^{+205}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 34.0% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - x \cdot \left(y1 \cdot y2\right)\right)\\ t_2 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{if}\;y5 \leq -1.4 \cdot 10^{+107}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -7.2 \cdot 10^{+51}:\\ \;\;\;\;\left(b \cdot y4\right) \cdot \left(t \cdot j - y \cdot k\right)\\ \mathbf{elif}\;y5 \leq -4.8 \cdot 10^{+34}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(x \cdot y1 - t \cdot y5\right)\\ \mathbf{elif}\;y5 \leq -3.25 \cdot 10^{-80}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq -2.4 \cdot 10^{-268}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 4.2 \cdot 10^{-270}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y5 \leq 3.5 \cdot 10^{-197}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 5.5 \cdot 10^{-130}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 4 \cdot 10^{+88}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (- (* b (- (* x y) (* z t))) (* x (* y1 y2)))))
        (t_2 (* k (* z (- (* b y0) (* i y1))))))
   (if (<= y5 -1.4e+107)
     (* y (* y5 (- (* i k) (* a y3))))
     (if (<= y5 -7.2e+51)
       (* (* b y4) (- (* t j) (* y k)))
       (if (<= y5 -4.8e+34)
         (* (* i j) (- (* x y1) (* t y5)))
         (if (<= y5 -3.25e-80)
           t_2
           (if (<= y5 -2.4e-268)
             t_1
             (if (<= y5 4.2e-270)
               (* (- (* x j) (* z k)) (* i y1))
               (if (<= y5 3.5e-197)
                 t_2
                 (if (<= y5 5.5e-130)
                   t_1
                   (if (<= y5 4e+88)
                     (* a (* z (- (* y1 y3) (* t b))))
                     (* y0 (* y5 (- (* j y3) (* k 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 t_1 = a * ((b * ((x * y) - (z * t))) - (x * (y1 * y2)));
	double t_2 = k * (z * ((b * y0) - (i * y1)));
	double tmp;
	if (y5 <= -1.4e+107) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -7.2e+51) {
		tmp = (b * y4) * ((t * j) - (y * k));
	} else if (y5 <= -4.8e+34) {
		tmp = (i * j) * ((x * y1) - (t * y5));
	} else if (y5 <= -3.25e-80) {
		tmp = t_2;
	} else if (y5 <= -2.4e-268) {
		tmp = t_1;
	} else if (y5 <= 4.2e-270) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if (y5 <= 3.5e-197) {
		tmp = t_2;
	} else if (y5 <= 5.5e-130) {
		tmp = t_1;
	} else if (y5 <= 4e+88) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * 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) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = a * ((b * ((x * y) - (z * t))) - (x * (y1 * y2)))
    t_2 = k * (z * ((b * y0) - (i * y1)))
    if (y5 <= (-1.4d+107)) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y5 <= (-7.2d+51)) then
        tmp = (b * y4) * ((t * j) - (y * k))
    else if (y5 <= (-4.8d+34)) then
        tmp = (i * j) * ((x * y1) - (t * y5))
    else if (y5 <= (-3.25d-80)) then
        tmp = t_2
    else if (y5 <= (-2.4d-268)) then
        tmp = t_1
    else if (y5 <= 4.2d-270) then
        tmp = ((x * j) - (z * k)) * (i * y1)
    else if (y5 <= 3.5d-197) then
        tmp = t_2
    else if (y5 <= 5.5d-130) then
        tmp = t_1
    else if (y5 <= 4d+88) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else
        tmp = y0 * (y5 * ((j * y3) - (k * 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 t_1 = a * ((b * ((x * y) - (z * t))) - (x * (y1 * y2)));
	double t_2 = k * (z * ((b * y0) - (i * y1)));
	double tmp;
	if (y5 <= -1.4e+107) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -7.2e+51) {
		tmp = (b * y4) * ((t * j) - (y * k));
	} else if (y5 <= -4.8e+34) {
		tmp = (i * j) * ((x * y1) - (t * y5));
	} else if (y5 <= -3.25e-80) {
		tmp = t_2;
	} else if (y5 <= -2.4e-268) {
		tmp = t_1;
	} else if (y5 <= 4.2e-270) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if (y5 <= 3.5e-197) {
		tmp = t_2;
	} else if (y5 <= 5.5e-130) {
		tmp = t_1;
	} else if (y5 <= 4e+88) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * ((b * ((x * y) - (z * t))) - (x * (y1 * y2)))
	t_2 = k * (z * ((b * y0) - (i * y1)))
	tmp = 0
	if y5 <= -1.4e+107:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y5 <= -7.2e+51:
		tmp = (b * y4) * ((t * j) - (y * k))
	elif y5 <= -4.8e+34:
		tmp = (i * j) * ((x * y1) - (t * y5))
	elif y5 <= -3.25e-80:
		tmp = t_2
	elif y5 <= -2.4e-268:
		tmp = t_1
	elif y5 <= 4.2e-270:
		tmp = ((x * j) - (z * k)) * (i * y1)
	elif y5 <= 3.5e-197:
		tmp = t_2
	elif y5 <= 5.5e-130:
		tmp = t_1
	elif y5 <= 4e+88:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	else:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(Float64(b * Float64(Float64(x * y) - Float64(z * t))) - Float64(x * Float64(y1 * y2))))
	t_2 = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))))
	tmp = 0.0
	if (y5 <= -1.4e+107)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y5 <= -7.2e+51)
		tmp = Float64(Float64(b * y4) * Float64(Float64(t * j) - Float64(y * k)));
	elseif (y5 <= -4.8e+34)
		tmp = Float64(Float64(i * j) * Float64(Float64(x * y1) - Float64(t * y5)));
	elseif (y5 <= -3.25e-80)
		tmp = t_2;
	elseif (y5 <= -2.4e-268)
		tmp = t_1;
	elseif (y5 <= 4.2e-270)
		tmp = Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(i * y1));
	elseif (y5 <= 3.5e-197)
		tmp = t_2;
	elseif (y5 <= 5.5e-130)
		tmp = t_1;
	elseif (y5 <= 4e+88)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	else
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * 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)
	t_1 = a * ((b * ((x * y) - (z * t))) - (x * (y1 * y2)));
	t_2 = k * (z * ((b * y0) - (i * y1)));
	tmp = 0.0;
	if (y5 <= -1.4e+107)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y5 <= -7.2e+51)
		tmp = (b * y4) * ((t * j) - (y * k));
	elseif (y5 <= -4.8e+34)
		tmp = (i * j) * ((x * y1) - (t * y5));
	elseif (y5 <= -3.25e-80)
		tmp = t_2;
	elseif (y5 <= -2.4e-268)
		tmp = t_1;
	elseif (y5 <= 4.2e-270)
		tmp = ((x * j) - (z * k)) * (i * y1);
	elseif (y5 <= 3.5e-197)
		tmp = t_2;
	elseif (y5 <= 5.5e-130)
		tmp = t_1;
	elseif (y5 <= 4e+88)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	else
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	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[(a * N[(N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(x * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -1.4e+107], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -7.2e+51], N[(N[(b * y4), $MachinePrecision] * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -4.8e+34], N[(N[(i * j), $MachinePrecision] * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -3.25e-80], t$95$2, If[LessEqual[y5, -2.4e-268], t$95$1, If[LessEqual[y5, 4.2e-270], N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(i * y1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 3.5e-197], t$95$2, If[LessEqual[y5, 5.5e-130], t$95$1, If[LessEqual[y5, 4e+88], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y5 < -1.39999999999999992e107

   1. Initial program 34.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   if -1.39999999999999992e107 < y5 < -7.20000000000000022e51

   1. Initial program 10.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 60.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 60.8%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 60.8%

         \[\leadsto \left(b \cdot y4\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 60.8%

      \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   if -7.20000000000000022e51 < y5 < -4.79999999999999974e34

   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. Add Preprocessing

   3. Taylor expanded in i around -inf 26.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in j around inf 74.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 75.1%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot j\right) \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

      2. *-commutative 75.1%

         \[\leadsto -1 \cdot \left(\left(i \cdot j\right) \cdot \left(\color{blue}{y5 \cdot t} - x \cdot y1\right)\right) \]

   6. Simplified 75.1%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot j\right) \cdot \left(y5 \cdot t - x \cdot y1\right)\right)} \]

   if -4.79999999999999974e34 < y5 < -3.24999999999999992e-80 or 4.19999999999999992e-270 < y5 < 3.4999999999999998e-197

   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. Add Preprocessing

   3. Taylor expanded in k around inf 45.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. sub-neg 45.2%

         \[\leadsto k \cdot \color{blue}{\left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right)} \]

      2. +-commutative 45.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      3. mul-1-neg 45.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      4. unsub-neg 45.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      5. *-commutative 45.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      6. mul-1-neg 45.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \left(-\color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right)\right) \]

      7. remove-double-neg 45.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \color{blue}{z \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

   5. Simplified 45.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 44.0%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -3.24999999999999992e-80 < y5 < -2.3999999999999999e-268 or 3.4999999999999998e-197 < y5 < 5.50000000000000007e-130

   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. Add Preprocessing

   3. Taylor expanded in a around inf 52.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 59.9%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 59.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]

      2. mul-1-neg 59.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \color{blue}{\left(-y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) \]

      3. *-commutative 59.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \left(-\color{blue}{\left(x \cdot y2 - y3 \cdot z\right) \cdot y1}\right)\right) \]

      4. unsub-neg 59.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

      5. cancel-sign-sub-inv 59.9%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(x \cdot y + \left(-t\right) \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      6. *-commutative 59.9%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} + \left(-t\right) \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      7. cancel-sign-sub-inv 59.9%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x - t \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

   6. Simplified 59.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

   7. Taylor expanded in y3 around 0 59.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) - x \cdot \left(y1 \cdot y2\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 59.8%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right) - x \cdot \left(y1 \cdot y2\right)\right) \]

   9. Simplified 59.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) - x \cdot \left(y1 \cdot y2\right)\right)} \]

   if -2.3999999999999999e-268 < y5 < 4.19999999999999992e-270

   1. Initial program 28.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 50.4%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y1 around inf 61.6%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 56.2%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. *-commutative 56.2%

         \[\leadsto -1 \cdot \left(\left(i \cdot y1\right) \cdot \left(k \cdot z - \color{blue}{x \cdot j}\right)\right) \]

   6. Simplified 56.2%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y1\right) \cdot \left(k \cdot z - x \cdot j\right)\right)} \]

   if 5.50000000000000007e-130 < y5 < 3.99999999999999984e88

   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. Add Preprocessing

   3. Taylor expanded in a around inf 51.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 46.3%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.3%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 46.3%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 46.3%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 46.3%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if 3.99999999999999984e88 < y5

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 56.0%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot j} - k \cdot y2\right)\right) \]

   8. Simplified 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot j - k \cdot y2\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 52.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1.4 \cdot 10^{+107}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -7.2 \cdot 10^{+51}:\\ \;\;\;\;\left(b \cdot y4\right) \cdot \left(t \cdot j - y \cdot k\right)\\ \mathbf{elif}\;y5 \leq -4.8 \cdot 10^{+34}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(x \cdot y1 - t \cdot y5\right)\\ \mathbf{elif}\;y5 \leq -3.25 \cdot 10^{-80}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq -2.4 \cdot 10^{-268}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - x \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 4.2 \cdot 10^{-270}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y5 \leq 3.5 \cdot 10^{-197}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 5.5 \cdot 10^{-130}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right) - x \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 4 \cdot 10^{+88}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 31.2% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{if}\;y5 \leq -2.2 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -4.3 \cdot 10^{+49}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -700000000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq -2.8 \cdot 10^{-80}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 4.6 \cdot 10^{-137}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 2.4 \cdot 10^{+71}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 1.9 \cdot 10^{+247}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* z (- (* y1 y3) (* t b))))))
   (if (<= y5 -2.2e+106)
     (* y (* y5 (- (* i k) (* a y3))))
     (if (<= y5 -4.3e+49)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= y5 -700000000.0)
         t_1
         (if (<= y5 -2.8e-80)
           (* k (* z (- (* b y0) (* i y1))))
           (if (<= y5 4.6e-137)
             (* a (* x (- (* y b) (* y1 y2))))
             (if (<= y5 2.4e+71)
               t_1
               (if (<= y5 1.9e+247)
                 (* k (* y2 (- (* y1 y4) (* y0 y5))))
                 (* y (* i (* 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 = a * (z * ((y1 * y3) - (t * b)));
	double tmp;
	if (y5 <= -2.2e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -4.3e+49) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= -700000000.0) {
		tmp = t_1;
	} else if (y5 <= -2.8e-80) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= 4.6e-137) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 2.4e+71) {
		tmp = t_1;
	} else if (y5 <= 1.9e+247) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else {
		tmp = y * (i * (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) :: tmp
    t_1 = a * (z * ((y1 * y3) - (t * b)))
    if (y5 <= (-2.2d+106)) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y5 <= (-4.3d+49)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y5 <= (-700000000.0d0)) then
        tmp = t_1
    else if (y5 <= (-2.8d-80)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y5 <= 4.6d-137) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 2.4d+71) then
        tmp = t_1
    else if (y5 <= 1.9d+247) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else
        tmp = y * (i * (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 = a * (z * ((y1 * y3) - (t * b)));
	double tmp;
	if (y5 <= -2.2e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -4.3e+49) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= -700000000.0) {
		tmp = t_1;
	} else if (y5 <= -2.8e-80) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= 4.6e-137) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 2.4e+71) {
		tmp = t_1;
	} else if (y5 <= 1.9e+247) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else {
		tmp = y * (i * (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 = a * (z * ((y1 * y3) - (t * b)))
	tmp = 0
	if y5 <= -2.2e+106:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y5 <= -4.3e+49:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y5 <= -700000000.0:
		tmp = t_1
	elif y5 <= -2.8e-80:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y5 <= 4.6e-137:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 2.4e+71:
		tmp = t_1
	elif y5 <= 1.9e+247:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	else:
		tmp = y * (i * (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(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))))
	tmp = 0.0
	if (y5 <= -2.2e+106)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y5 <= -4.3e+49)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= -700000000.0)
		tmp = t_1;
	elseif (y5 <= -2.8e-80)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y5 <= 4.6e-137)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 2.4e+71)
		tmp = t_1;
	elseif (y5 <= 1.9e+247)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	else
		tmp = Float64(y * Float64(i * 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 = a * (z * ((y1 * y3) - (t * b)));
	tmp = 0.0;
	if (y5 <= -2.2e+106)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y5 <= -4.3e+49)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y5 <= -700000000.0)
		tmp = t_1;
	elseif (y5 <= -2.8e-80)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y5 <= 4.6e-137)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 2.4e+71)
		tmp = t_1;
	elseif (y5 <= 1.9e+247)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	else
		tmp = y * (i * (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[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -2.2e+106], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -4.3e+49], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -700000000.0], t$95$1, If[LessEqual[y5, -2.8e-80], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 4.6e-137], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.4e+71], t$95$1, If[LessEqual[y5, 1.9e+247], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(i * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -2.19999999999999992e106

   1. Initial program 34.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   if -2.19999999999999992e106 < y5 < -4.2999999999999999e49

   1. Initial program 10.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 60.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -4.2999999999999999e49 < y5 < -7e8 or 4.60000000000000016e-137 < y5 < 2.39999999999999981e71

   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. Add Preprocessing

   3. Taylor expanded in a around inf 49.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 44.4%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 44.4%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 44.4%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 44.4%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 44.4%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 44.4%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if -7e8 < y5 < -2.79999999999999989e-80

   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. Add Preprocessing

   3. Taylor expanded in k around inf 51.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. sub-neg 51.5%

         \[\leadsto k \cdot \color{blue}{\left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right)} \]

      2. +-commutative 51.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      3. mul-1-neg 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      4. unsub-neg 51.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      5. *-commutative 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      6. mul-1-neg 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \left(-\color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right)\right) \]

      7. remove-double-neg 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \color{blue}{z \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

   5. Simplified 51.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 48.6%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -2.79999999999999989e-80 < y5 < 4.60000000000000016e-137

   1. Initial program 25.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 35.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 46.2%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 46.2%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 46.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 46.2%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 46.2%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 46.2%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 2.39999999999999981e71 < y5 < 1.90000000000000011e247

   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. Add Preprocessing

   3. Taylor expanded in k around inf 46.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. sub-neg 46.6%

         \[\leadsto k \cdot \color{blue}{\left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right)} \]

      2. +-commutative 46.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      3. mul-1-neg 46.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      4. unsub-neg 46.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      5. *-commutative 46.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      6. mul-1-neg 46.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \left(-\color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right)\right) \]

      7. remove-double-neg 46.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \color{blue}{z \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

   5. Simplified 46.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y2 around inf 52.3%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if 1.90000000000000011e247 < y5

   1. Initial program 15.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 42.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 58.0%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 62.1%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 62.1%

         \[\leadsto y \cdot \left(i \cdot \color{blue}{\left(y5 \cdot k\right)}\right) \]

   7. Simplified 62.1%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(y5 \cdot k\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 49.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.2 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -4.3 \cdot 10^{+49}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -700000000:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq -2.8 \cdot 10^{-80}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 4.6 \cdot 10^{-137}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 2.4 \cdot 10^{+71}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 1.9 \cdot 10^{+247}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 18: 31.2% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{if}\;y5 \leq -3 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -2.5 \cdot 10^{+45}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -1000000000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq -1.7 \cdot 10^{-80}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 2.15 \cdot 10^{-132}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 2.4 \cdot 10^{+71}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 3.5 \cdot 10^{+224}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* z (- (* y1 y3) (* t b))))))
   (if (<= y5 -3e+106)
     (* y (* y5 (- (* i k) (* a y3))))
     (if (<= y5 -2.5e+45)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= y5 -1000000000.0)
         t_1
         (if (<= y5 -1.7e-80)
           (* k (* z (- (* b y0) (* i y1))))
           (if (<= y5 2.15e-132)
             (* a (* x (- (* y b) (* y1 y2))))
             (if (<= y5 2.4e+71)
               t_1
               (if (<= y5 3.5e+224)
                 (* k (* y2 (- (* y1 y4) (* y0 y5))))
                 (* y0 (* y3 (- (* j y5) (* z c)))))))))))))

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 * (z * ((y1 * y3) - (t * b)));
	double tmp;
	if (y5 <= -3e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -2.5e+45) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= -1000000000.0) {
		tmp = t_1;
	} else if (y5 <= -1.7e-80) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= 2.15e-132) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 2.4e+71) {
		tmp = t_1;
	} else if (y5 <= 3.5e+224) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	}
	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 = a * (z * ((y1 * y3) - (t * b)))
    if (y5 <= (-3d+106)) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y5 <= (-2.5d+45)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y5 <= (-1000000000.0d0)) then
        tmp = t_1
    else if (y5 <= (-1.7d-80)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y5 <= 2.15d-132) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 2.4d+71) then
        tmp = t_1
    else if (y5 <= 3.5d+224) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else
        tmp = y0 * (y3 * ((j * y5) - (z * c)))
    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 * (z * ((y1 * y3) - (t * b)));
	double tmp;
	if (y5 <= -3e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -2.5e+45) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= -1000000000.0) {
		tmp = t_1;
	} else if (y5 <= -1.7e-80) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= 2.15e-132) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 2.4e+71) {
		tmp = t_1;
	} else if (y5 <= 3.5e+224) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (z * ((y1 * y3) - (t * b)))
	tmp = 0
	if y5 <= -3e+106:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y5 <= -2.5e+45:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y5 <= -1000000000.0:
		tmp = t_1
	elif y5 <= -1.7e-80:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y5 <= 2.15e-132:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 2.4e+71:
		tmp = t_1
	elif y5 <= 3.5e+224:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	else:
		tmp = y0 * (y3 * ((j * y5) - (z * c)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))))
	tmp = 0.0
	if (y5 <= -3e+106)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y5 <= -2.5e+45)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= -1000000000.0)
		tmp = t_1;
	elseif (y5 <= -1.7e-80)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y5 <= 2.15e-132)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 2.4e+71)
		tmp = t_1;
	elseif (y5 <= 3.5e+224)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	else
		tmp = Float64(y0 * Float64(y3 * Float64(Float64(j * y5) - Float64(z * c))));
	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 * (z * ((y1 * y3) - (t * b)));
	tmp = 0.0;
	if (y5 <= -3e+106)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y5 <= -2.5e+45)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y5 <= -1000000000.0)
		tmp = t_1;
	elseif (y5 <= -1.7e-80)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y5 <= 2.15e-132)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 2.4e+71)
		tmp = t_1;
	elseif (y5 <= 3.5e+224)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	else
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	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[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -3e+106], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.5e+45], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1000000000.0], t$95$1, If[LessEqual[y5, -1.7e-80], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.15e-132], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.4e+71], t$95$1, If[LessEqual[y5, 3.5e+224], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(y3 * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -3.0000000000000001e106

   1. Initial program 34.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   if -3.0000000000000001e106 < y5 < -2.5e45

   1. Initial program 10.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 60.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -2.5e45 < y5 < -1e9 or 2.1499999999999998e-132 < y5 < 2.39999999999999981e71

   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. Add Preprocessing

   3. Taylor expanded in a around inf 49.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 44.4%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 44.4%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 44.4%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 44.4%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 44.4%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 44.4%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if -1e9 < y5 < -1.7e-80

   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. Add Preprocessing

   3. Taylor expanded in k around inf 51.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. sub-neg 51.5%

         \[\leadsto k \cdot \color{blue}{\left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right)} \]

      2. +-commutative 51.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      3. mul-1-neg 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      4. unsub-neg 51.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      5. *-commutative 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      6. mul-1-neg 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \left(-\color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right)\right) \]

      7. remove-double-neg 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \color{blue}{z \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

   5. Simplified 51.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 48.6%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -1.7e-80 < y5 < 2.1499999999999998e-132

   1. Initial program 25.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 35.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 46.2%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 46.2%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 46.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 46.2%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 46.2%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 46.2%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 2.39999999999999981e71 < y5 < 3.5e224

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 49.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. sub-neg 49.0%

         \[\leadsto k \cdot \color{blue}{\left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right)} \]

      2. +-commutative 49.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      3. mul-1-neg 49.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      4. unsub-neg 49.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      5. *-commutative 49.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      6. mul-1-neg 49.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \left(-\color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right)\right) \]

      7. remove-double-neg 49.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \color{blue}{z \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

   5. Simplified 49.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y2 around inf 55.8%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if 3.5e224 < y5

   1. Initial program 21.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 47.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 47.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 47.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y3 around inf 58.5%

      \[\leadsto y0 \cdot \color{blue}{\left(y3 \cdot \left(-1 \cdot \left(c \cdot z\right) - -1 \cdot \left(j \cdot y5\right)\right)\right)} \]
   7. Step-by-step derivation

      1. cancel-sign-sub-inv 58.5%

         \[\leadsto y0 \cdot \left(y3 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot z\right) + \left(--1\right) \cdot \left(j \cdot y5\right)\right)}\right) \]

      2. metadata-eval 58.5%

         \[\leadsto y0 \cdot \left(y3 \cdot \left(-1 \cdot \left(c \cdot z\right) + \color{blue}{1} \cdot \left(j \cdot y5\right)\right)\right) \]

      3. *-lft-identity 58.5%

         \[\leadsto y0 \cdot \left(y3 \cdot \left(-1 \cdot \left(c \cdot z\right) + \color{blue}{j \cdot y5}\right)\right) \]

      4. +-commutative 58.5%

         \[\leadsto y0 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y5 + -1 \cdot \left(c \cdot z\right)\right)}\right) \]

      5. mul-1-neg 58.5%

         \[\leadsto y0 \cdot \left(y3 \cdot \left(j \cdot y5 + \color{blue}{\left(-c \cdot z\right)}\right)\right) \]

      6. unsub-neg 58.5%

         \[\leadsto y0 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y5 - c \cdot z\right)}\right) \]

      7. *-commutative 58.5%

         \[\leadsto y0 \cdot \left(y3 \cdot \left(\color{blue}{y5 \cdot j} - c \cdot z\right)\right) \]

   8. Simplified 58.5%

      \[\leadsto y0 \cdot \color{blue}{\left(y3 \cdot \left(y5 \cdot j - c \cdot z\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 49.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -3 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -2.5 \cdot 10^{+45}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -1000000000:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq -1.7 \cdot 10^{-80}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 2.15 \cdot 10^{-132}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 2.4 \cdot 10^{+71}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 3.5 \cdot 10^{+224}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 19: 33.0% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(b \cdot y4\right) \cdot \left(t \cdot j - y \cdot k\right)\\ \mathbf{if}\;y5 \leq -1.4 \cdot 10^{+107}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -7 \cdot 10^{+45}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq -2.7 \cdot 10^{+32}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(x \cdot y1 - t \cdot y5\right)\\ \mathbf{elif}\;y5 \leq -1.1 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 2.9 \cdot 10^{-249}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y5 \leq 10^{-226}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 2.95 \cdot 10^{+88}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* b y4) (- (* t j) (* y k)))))
   (if (<= y5 -1.4e+107)
     (* y (* y5 (- (* i k) (* a y3))))
     (if (<= y5 -7e+45)
       t_1
       (if (<= y5 -2.7e+32)
         (* (* i j) (- (* x y1) (* t y5)))
         (if (<= y5 -1.1e-243)
           (* a (* x (- (* y b) (* y1 y2))))
           (if (<= y5 2.9e-249)
             (* (- (* x j) (* z k)) (* i y1))
             (if (<= y5 1e-226)
               t_1
               (if (<= y5 2.95e+88)
                 (* a (* z (- (* y1 y3) (* t b))))
                 (* y0 (* y5 (- (* j y3) (* k 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 t_1 = (b * y4) * ((t * j) - (y * k));
	double tmp;
	if (y5 <= -1.4e+107) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -7e+45) {
		tmp = t_1;
	} else if (y5 <= -2.7e+32) {
		tmp = (i * j) * ((x * y1) - (t * y5));
	} else if (y5 <= -1.1e-243) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 2.9e-249) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if (y5 <= 1e-226) {
		tmp = t_1;
	} else if (y5 <= 2.95e+88) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * 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) :: t_1
    real(8) :: tmp
    t_1 = (b * y4) * ((t * j) - (y * k))
    if (y5 <= (-1.4d+107)) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y5 <= (-7d+45)) then
        tmp = t_1
    else if (y5 <= (-2.7d+32)) then
        tmp = (i * j) * ((x * y1) - (t * y5))
    else if (y5 <= (-1.1d-243)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 2.9d-249) then
        tmp = ((x * j) - (z * k)) * (i * y1)
    else if (y5 <= 1d-226) then
        tmp = t_1
    else if (y5 <= 2.95d+88) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else
        tmp = y0 * (y5 * ((j * y3) - (k * 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 t_1 = (b * y4) * ((t * j) - (y * k));
	double tmp;
	if (y5 <= -1.4e+107) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -7e+45) {
		tmp = t_1;
	} else if (y5 <= -2.7e+32) {
		tmp = (i * j) * ((x * y1) - (t * y5));
	} else if (y5 <= -1.1e-243) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 2.9e-249) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if (y5 <= 1e-226) {
		tmp = t_1;
	} else if (y5 <= 2.95e+88) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	}
	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) * ((t * j) - (y * k))
	tmp = 0
	if y5 <= -1.4e+107:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y5 <= -7e+45:
		tmp = t_1
	elif y5 <= -2.7e+32:
		tmp = (i * j) * ((x * y1) - (t * y5))
	elif y5 <= -1.1e-243:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 2.9e-249:
		tmp = ((x * j) - (z * k)) * (i * y1)
	elif y5 <= 1e-226:
		tmp = t_1
	elif y5 <= 2.95e+88:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	else:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	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(Float64(t * j) - Float64(y * k)))
	tmp = 0.0
	if (y5 <= -1.4e+107)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y5 <= -7e+45)
		tmp = t_1;
	elseif (y5 <= -2.7e+32)
		tmp = Float64(Float64(i * j) * Float64(Float64(x * y1) - Float64(t * y5)));
	elseif (y5 <= -1.1e-243)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 2.9e-249)
		tmp = Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(i * y1));
	elseif (y5 <= 1e-226)
		tmp = t_1;
	elseif (y5 <= 2.95e+88)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	else
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * 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)
	t_1 = (b * y4) * ((t * j) - (y * k));
	tmp = 0.0;
	if (y5 <= -1.4e+107)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y5 <= -7e+45)
		tmp = t_1;
	elseif (y5 <= -2.7e+32)
		tmp = (i * j) * ((x * y1) - (t * y5));
	elseif (y5 <= -1.1e-243)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 2.9e-249)
		tmp = ((x * j) - (z * k)) * (i * y1);
	elseif (y5 <= 1e-226)
		tmp = t_1;
	elseif (y5 <= 2.95e+88)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	else
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	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[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -1.4e+107], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -7e+45], t$95$1, If[LessEqual[y5, -2.7e+32], N[(N[(i * j), $MachinePrecision] * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.1e-243], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.9e-249], N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(i * y1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1e-226], t$95$1, If[LessEqual[y5, 2.95e+88], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y5 < -1.39999999999999992e107

   1. Initial program 34.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   if -1.39999999999999992e107 < y5 < -7.00000000000000046e45 or 2.90000000000000022e-249 < y5 < 9.99999999999999921e-227

   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. Add Preprocessing

   3. Taylor expanded in b around inf 44.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 57.3%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 63.2%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 63.2%

         \[\leadsto \left(b \cdot y4\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 63.2%

      \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   if -7.00000000000000046e45 < y5 < -2.70000000000000013e32

   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. Add Preprocessing

   3. Taylor expanded in i around -inf 26.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in j around inf 74.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 75.1%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot j\right) \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

      2. *-commutative 75.1%

         \[\leadsto -1 \cdot \left(\left(i \cdot j\right) \cdot \left(\color{blue}{y5 \cdot t} - x \cdot y1\right)\right) \]

   6. Simplified 75.1%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot j\right) \cdot \left(y5 \cdot t - x \cdot y1\right)\right)} \]

   if -2.70000000000000013e32 < y5 < -1.1e-243

   1. Initial program 23.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 43.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 43.2%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 43.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 43.2%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 43.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 43.2%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 43.2%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 43.2%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if -1.1e-243 < y5 < 2.90000000000000022e-249

   1. Initial program 30.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 50.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y1 around inf 54.6%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 50.8%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. *-commutative 50.8%

         \[\leadsto -1 \cdot \left(\left(i \cdot y1\right) \cdot \left(k \cdot z - \color{blue}{x \cdot j}\right)\right) \]

   6. Simplified 50.8%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y1\right) \cdot \left(k \cdot z - x \cdot j\right)\right)} \]

   if 9.99999999999999921e-227 < y5 < 2.94999999999999984e88

   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. Add Preprocessing

   3. Taylor expanded in a around inf 51.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 45.6%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.6%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 45.6%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 45.6%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 45.6%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 45.6%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if 2.94999999999999984e88 < y5

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 56.0%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot j} - k \cdot y2\right)\right) \]

   8. Simplified 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot j - k \cdot y2\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 50.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1.4 \cdot 10^{+107}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -7 \cdot 10^{+45}:\\ \;\;\;\;\left(b \cdot y4\right) \cdot \left(t \cdot j - y \cdot k\right)\\ \mathbf{elif}\;y5 \leq -2.7 \cdot 10^{+32}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(x \cdot y1 - t \cdot y5\right)\\ \mathbf{elif}\;y5 \leq -1.1 \cdot 10^{-243}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 2.9 \cdot 10^{-249}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;y5 \leq 10^{-226}:\\ \;\;\;\;\left(b \cdot y4\right) \cdot \left(t \cdot j - y \cdot k\right)\\ \mathbf{elif}\;y5 \leq 2.95 \cdot 10^{+88}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 20: 30.1% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ t_2 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;y5 \leq -4.3 \cdot 10^{+147}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq -6.2 \cdot 10^{+106}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq -5.3 \cdot 10^{+51}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 1.45 \cdot 10^{-134}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 2.75 \cdot 10^{+71}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 1.02 \cdot 10^{+250}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* i (* k y5)))) (t_2 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= y5 -4.3e+147)
     t_2
     (if (<= y5 -6.2e+106)
       t_1
       (if (<= y5 -5.3e+51)
         (* b (* y4 (- (* t j) (* y k))))
         (if (<= y5 1.45e-134)
           (* a (* x (- (* y b) (* y1 y2))))
           (if (<= y5 2.75e+71)
             (* a (* z (- (* y1 y3) (* t b))))
             (if (<= y5 1.02e+250) 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 = y * (i * (k * y5));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y5 <= -4.3e+147) {
		tmp = t_2;
	} else if (y5 <= -6.2e+106) {
		tmp = t_1;
	} else if (y5 <= -5.3e+51) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= 1.45e-134) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 2.75e+71) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else if (y5 <= 1.02e+250) {
		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 = y * (i * (k * y5))
    t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (y5 <= (-4.3d+147)) then
        tmp = t_2
    else if (y5 <= (-6.2d+106)) then
        tmp = t_1
    else if (y5 <= (-5.3d+51)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y5 <= 1.45d-134) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 2.75d+71) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else if (y5 <= 1.02d+250) 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 = y * (i * (k * y5));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (y5 <= -4.3e+147) {
		tmp = t_2;
	} else if (y5 <= -6.2e+106) {
		tmp = t_1;
	} else if (y5 <= -5.3e+51) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= 1.45e-134) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 2.75e+71) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else if (y5 <= 1.02e+250) {
		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 = y * (i * (k * y5))
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if y5 <= -4.3e+147:
		tmp = t_2
	elif y5 <= -6.2e+106:
		tmp = t_1
	elif y5 <= -5.3e+51:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y5 <= 1.45e-134:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 2.75e+71:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	elif y5 <= 1.02e+250:
		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(y * Float64(i * Float64(k * y5)))
	t_2 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (y5 <= -4.3e+147)
		tmp = t_2;
	elseif (y5 <= -6.2e+106)
		tmp = t_1;
	elseif (y5 <= -5.3e+51)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= 1.45e-134)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 2.75e+71)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	elseif (y5 <= 1.02e+250)
		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 = y * (i * (k * y5));
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (y5 <= -4.3e+147)
		tmp = t_2;
	elseif (y5 <= -6.2e+106)
		tmp = t_1;
	elseif (y5 <= -5.3e+51)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y5 <= 1.45e-134)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 2.75e+71)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	elseif (y5 <= 1.02e+250)
		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[(y * N[(i * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -4.3e+147], t$95$2, If[LessEqual[y5, -6.2e+106], t$95$1, If[LessEqual[y5, -5.3e+51], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.45e-134], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.75e+71], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.02e+250], t$95$2, t$95$1]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y5 < -4.2999999999999999e147 or 2.75e71 < y5 < 1.02000000000000008e250

   1. Initial program 28.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 43.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. sub-neg 43.0%

         \[\leadsto k \cdot \color{blue}{\left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right)} \]

      2. +-commutative 43.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      3. mul-1-neg 43.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      4. unsub-neg 43.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      5. *-commutative 43.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      6. mul-1-neg 43.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \left(-\color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right)\right) \]

      7. remove-double-neg 43.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \color{blue}{z \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

   5. Simplified 43.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y2 around inf 49.3%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if -4.2999999999999999e147 < y5 < -6.1999999999999999e106 or 1.02000000000000008e250 < y5

   1. Initial program 32.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 52.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 59.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 54.9%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 54.9%

         \[\leadsto y \cdot \left(i \cdot \color{blue}{\left(y5 \cdot k\right)}\right) \]

   7. Simplified 54.9%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(y5 \cdot k\right)\right)} \]

   if -6.1999999999999999e106 < y5 < -5.2999999999999997e51

   1. Initial program 10.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 60.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -5.2999999999999997e51 < y5 < 1.44999999999999997e-134

   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. Add Preprocessing

   3. Taylor expanded in a around inf 34.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 39.9%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 39.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 39.9%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 39.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 39.9%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 39.9%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 39.9%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 1.44999999999999997e-134 < y5 < 2.75e71

   1. Initial program 37.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 53.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 47.0%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 47.0%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 47.0%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 47.0%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 47.0%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 47.0%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 46.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -4.3 \cdot 10^{+147}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -6.2 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -5.3 \cdot 10^{+51}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 1.45 \cdot 10^{-134}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 2.75 \cdot 10^{+71}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 1.02 \cdot 10^{+250}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 21: 32.8% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{if}\;y5 \leq -8.5 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -1.7 \cdot 10^{+51}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -780000000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq -2 \cdot 10^{-80}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 2.55 \cdot 10^{-132}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.04 \cdot 10^{+89}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* z (- (* y1 y3) (* t b))))))
   (if (<= y5 -8.5e+106)
     (* y (* y5 (- (* i k) (* a y3))))
     (if (<= y5 -1.7e+51)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= y5 -780000000.0)
         t_1
         (if (<= y5 -2e-80)
           (* k (* z (- (* b y0) (* i y1))))
           (if (<= y5 2.55e-132)
             (* a (* x (- (* y b) (* y1 y2))))
             (if (<= y5 1.04e+89)
               t_1
               (* y0 (* y5 (- (* j y3) (* k 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 t_1 = a * (z * ((y1 * y3) - (t * b)));
	double tmp;
	if (y5 <= -8.5e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -1.7e+51) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= -780000000.0) {
		tmp = t_1;
	} else if (y5 <= -2e-80) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= 2.55e-132) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 1.04e+89) {
		tmp = t_1;
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * 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) :: t_1
    real(8) :: tmp
    t_1 = a * (z * ((y1 * y3) - (t * b)))
    if (y5 <= (-8.5d+106)) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y5 <= (-1.7d+51)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y5 <= (-780000000.0d0)) then
        tmp = t_1
    else if (y5 <= (-2d-80)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y5 <= 2.55d-132) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 1.04d+89) then
        tmp = t_1
    else
        tmp = y0 * (y5 * ((j * y3) - (k * 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 t_1 = a * (z * ((y1 * y3) - (t * b)));
	double tmp;
	if (y5 <= -8.5e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -1.7e+51) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= -780000000.0) {
		tmp = t_1;
	} else if (y5 <= -2e-80) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= 2.55e-132) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 1.04e+89) {
		tmp = t_1;
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (z * ((y1 * y3) - (t * b)))
	tmp = 0
	if y5 <= -8.5e+106:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y5 <= -1.7e+51:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y5 <= -780000000.0:
		tmp = t_1
	elif y5 <= -2e-80:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y5 <= 2.55e-132:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 1.04e+89:
		tmp = t_1
	else:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))))
	tmp = 0.0
	if (y5 <= -8.5e+106)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y5 <= -1.7e+51)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= -780000000.0)
		tmp = t_1;
	elseif (y5 <= -2e-80)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y5 <= 2.55e-132)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 1.04e+89)
		tmp = t_1;
	else
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * 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)
	t_1 = a * (z * ((y1 * y3) - (t * b)));
	tmp = 0.0;
	if (y5 <= -8.5e+106)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y5 <= -1.7e+51)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y5 <= -780000000.0)
		tmp = t_1;
	elseif (y5 <= -2e-80)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y5 <= 2.55e-132)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 1.04e+89)
		tmp = t_1;
	else
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	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[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -8.5e+106], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.7e+51], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -780000000.0], t$95$1, If[LessEqual[y5, -2e-80], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.55e-132], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.04e+89], t$95$1, N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y5 < -8.4999999999999992e106

   1. Initial program 34.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   if -8.4999999999999992e106 < y5 < -1.69999999999999992e51

   1. Initial program 10.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 60.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -1.69999999999999992e51 < y5 < -7.8e8 or 2.55000000000000003e-132 < y5 < 1.04e89

   1. Initial program 33.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 48.4%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 43.9%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 43.9%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 43.9%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 43.9%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 43.9%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 43.9%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if -7.8e8 < y5 < -1.99999999999999992e-80

   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. Add Preprocessing

   3. Taylor expanded in k around inf 51.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. sub-neg 51.5%

         \[\leadsto k \cdot \color{blue}{\left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right)} \]

      2. +-commutative 51.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      3. mul-1-neg 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      4. unsub-neg 51.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      5. *-commutative 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) + \left(--1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)\right) \]

      6. mul-1-neg 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \left(-\color{blue}{\left(-z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)}\right)\right) \]

      7. remove-double-neg 51.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + \color{blue}{z \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

   5. Simplified 51.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 48.6%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -1.99999999999999992e-80 < y5 < 2.55000000000000003e-132

   1. Initial program 25.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 35.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 46.2%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 46.2%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 46.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 46.2%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 46.2%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 46.2%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 1.04e89 < y5

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 56.0%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot j} - k \cdot y2\right)\right) \]

   8. Simplified 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot j - k \cdot y2\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 49.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -8.5 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -1.7 \cdot 10^{+51}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -780000000:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq -2 \cdot 10^{-80}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 2.55 \cdot 10^{-132}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.04 \cdot 10^{+89}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 22: 31.7% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ t_2 := a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{if}\;x \leq -7.2 \cdot 10^{+84}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x \leq -1.95 \cdot 10^{-249}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{-228}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 2.1 \cdot 10^{+72}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 2.3 \cdot 10^{+158}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(x \cdot \left(-c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

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 (- (* t y2) (* y y3)))))
        (t_2 (* a (* x (- (* y b) (* y1 y2))))))
   (if (<= x -7.2e+84)
     t_2
     (if (<= x -1.95e-249)
       t_1
       (if (<= x 9.5e-228)
         (* c (* y (* y3 y4)))
         (if (<= x 2.1e+72)
           t_1
           (if (<= x 2.3e+158) (* (* y i) (* x (- c))) 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 * ((t * y2) - (y * y3)));
	double t_2 = a * (x * ((y * b) - (y1 * y2)));
	double tmp;
	if (x <= -7.2e+84) {
		tmp = t_2;
	} else if (x <= -1.95e-249) {
		tmp = t_1;
	} else if (x <= 9.5e-228) {
		tmp = c * (y * (y3 * y4));
	} else if (x <= 2.1e+72) {
		tmp = t_1;
	} else if (x <= 2.3e+158) {
		tmp = (y * i) * (x * -c);
	} 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 = a * (y5 * ((t * y2) - (y * y3)))
    t_2 = a * (x * ((y * b) - (y1 * y2)))
    if (x <= (-7.2d+84)) then
        tmp = t_2
    else if (x <= (-1.95d-249)) then
        tmp = t_1
    else if (x <= 9.5d-228) then
        tmp = c * (y * (y3 * y4))
    else if (x <= 2.1d+72) then
        tmp = t_1
    else if (x <= 2.3d+158) then
        tmp = (y * i) * (x * -c)
    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 * ((t * y2) - (y * y3)));
	double t_2 = a * (x * ((y * b) - (y1 * y2)));
	double tmp;
	if (x <= -7.2e+84) {
		tmp = t_2;
	} else if (x <= -1.95e-249) {
		tmp = t_1;
	} else if (x <= 9.5e-228) {
		tmp = c * (y * (y3 * y4));
	} else if (x <= 2.1e+72) {
		tmp = t_1;
	} else if (x <= 2.3e+158) {
		tmp = (y * i) * (x * -c);
	} 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 * ((t * y2) - (y * y3)))
	t_2 = a * (x * ((y * b) - (y1 * y2)))
	tmp = 0
	if x <= -7.2e+84:
		tmp = t_2
	elif x <= -1.95e-249:
		tmp = t_1
	elif x <= 9.5e-228:
		tmp = c * (y * (y3 * y4))
	elif x <= 2.1e+72:
		tmp = t_1
	elif x <= 2.3e+158:
		tmp = (y * i) * (x * -c)
	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(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))
	t_2 = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))))
	tmp = 0.0
	if (x <= -7.2e+84)
		tmp = t_2;
	elseif (x <= -1.95e-249)
		tmp = t_1;
	elseif (x <= 9.5e-228)
		tmp = Float64(c * Float64(y * Float64(y3 * y4)));
	elseif (x <= 2.1e+72)
		tmp = t_1;
	elseif (x <= 2.3e+158)
		tmp = Float64(Float64(y * i) * Float64(x * Float64(-c)));
	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 * ((t * y2) - (y * y3)));
	t_2 = a * (x * ((y * b) - (y1 * y2)));
	tmp = 0.0;
	if (x <= -7.2e+84)
		tmp = t_2;
	elseif (x <= -1.95e-249)
		tmp = t_1;
	elseif (x <= 9.5e-228)
		tmp = c * (y * (y3 * y4));
	elseif (x <= 2.1e+72)
		tmp = t_1;
	elseif (x <= 2.3e+158)
		tmp = (y * i) * (x * -c);
	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[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -7.2e+84], t$95$2, If[LessEqual[x, -1.95e-249], t$95$1, If[LessEqual[x, 9.5e-228], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.1e+72], t$95$1, If[LessEqual[x, 2.3e+158], N[(N[(y * i), $MachinePrecision] * N[(x * (-c)), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]

Derivation

1. Split input into 4 regimes

2. if x < -7.1999999999999999e84 or 2.29999999999999986e158 < x

   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. Add Preprocessing

   3. Taylor expanded in a around inf 38.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 52.2%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 52.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 52.2%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 52.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 52.2%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 52.2%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 52.2%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if -7.1999999999999999e84 < x < -1.95e-249 or 9.50000000000000024e-228 < x < 2.1000000000000001e72

   1. Initial program 36.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 44.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 40.1%

      \[\leadsto \color{blue}{a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if -1.95e-249 < x < 9.50000000000000024e-228

   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. Add Preprocessing

   3. Taylor expanded in y around inf 48.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 27.0%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   5. Taylor expanded in c around inf 34.0%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)} \]

   if 2.1000000000000001e72 < x < 2.29999999999999986e158

   1. Initial program 12.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 40.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in i around inf 37.0%

      \[\leadsto \color{blue}{i \cdot \left(y \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 33.0%

         \[\leadsto \color{blue}{\left(i \cdot y\right) \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)} \]

      2. +-commutative 33.0%

         \[\leadsto \left(i \cdot y\right) \cdot \color{blue}{\left(k \cdot y5 + -1 \cdot \left(c \cdot x\right)\right)} \]

      3. mul-1-neg 33.0%

         \[\leadsto \left(i \cdot y\right) \cdot \left(k \cdot y5 + \color{blue}{\left(-c \cdot x\right)}\right) \]

      4. unsub-neg 33.0%

         \[\leadsto \left(i \cdot y\right) \cdot \color{blue}{\left(k \cdot y5 - c \cdot x\right)} \]

      5. *-commutative 33.0%

         \[\leadsto \left(i \cdot y\right) \cdot \left(\color{blue}{y5 \cdot k} - c \cdot x\right) \]

      6. *-commutative 33.0%

         \[\leadsto \left(i \cdot y\right) \cdot \left(y5 \cdot k - \color{blue}{x \cdot c}\right) \]

   6. Simplified 33.0%

      \[\leadsto \color{blue}{\left(i \cdot y\right) \cdot \left(y5 \cdot k - x \cdot c\right)} \]

   7. Taylor expanded in y5 around 0 37.2%

      \[\leadsto \left(i \cdot y\right) \cdot \color{blue}{\left(-1 \cdot \left(c \cdot x\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 37.2%

         \[\leadsto \left(i \cdot y\right) \cdot \color{blue}{\left(-c \cdot x\right)} \]

      2. distribute-rgt-neg-in 37.2%

         \[\leadsto \left(i \cdot y\right) \cdot \color{blue}{\left(c \cdot \left(-x\right)\right)} \]

   9. Simplified 37.2%

      \[\leadsto \left(i \cdot y\right) \cdot \color{blue}{\left(c \cdot \left(-x\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 42.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -7.2 \cdot 10^{+84}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -1.95 \cdot 10^{-249}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 9.5 \cdot 10^{-228}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 2.1 \cdot 10^{+72}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 2.3 \cdot 10^{+158}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(x \cdot \left(-c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 23: 29.5% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -2.4 \cdot 10^{+219}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(a \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -9 \cdot 10^{+188}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -1.7 \cdot 10^{+79}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 5 \cdot 10^{-137}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 5.4 \cdot 10^{+97}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -2.4e+219)
   (* y (* y3 (* a (- y5))))
   (if (<= y5 -9e+188)
     (* y (* y5 (* i k)))
     (if (<= y5 -1.7e+79)
       (* a (* y5 (- (* t y2) (* y y3))))
       (if (<= y5 5e-137)
         (* a (* x (- (* y b) (* y1 y2))))
         (if (<= y5 5.4e+97)
           (* a (* z (- (* y1 y3) (* t b))))
           (* i (* k (* y 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 tmp;
	if (y5 <= -2.4e+219) {
		tmp = y * (y3 * (a * -y5));
	} else if (y5 <= -9e+188) {
		tmp = y * (y5 * (i * k));
	} else if (y5 <= -1.7e+79) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y5 <= 5e-137) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 5.4e+97) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = i * (k * (y * 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) :: tmp
    if (y5 <= (-2.4d+219)) then
        tmp = y * (y3 * (a * -y5))
    else if (y5 <= (-9d+188)) then
        tmp = y * (y5 * (i * k))
    else if (y5 <= (-1.7d+79)) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (y5 <= 5d-137) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 5.4d+97) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else
        tmp = i * (k * (y * 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 tmp;
	if (y5 <= -2.4e+219) {
		tmp = y * (y3 * (a * -y5));
	} else if (y5 <= -9e+188) {
		tmp = y * (y5 * (i * k));
	} else if (y5 <= -1.7e+79) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (y5 <= 5e-137) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 5.4e+97) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = i * (k * (y * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -2.4e+219:
		tmp = y * (y3 * (a * -y5))
	elif y5 <= -9e+188:
		tmp = y * (y5 * (i * k))
	elif y5 <= -1.7e+79:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif y5 <= 5e-137:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 5.4e+97:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	else:
		tmp = i * (k * (y * y5))
	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 (y5 <= -2.4e+219)
		tmp = Float64(y * Float64(y3 * Float64(a * Float64(-y5))));
	elseif (y5 <= -9e+188)
		tmp = Float64(y * Float64(y5 * Float64(i * k)));
	elseif (y5 <= -1.7e+79)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (y5 <= 5e-137)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 5.4e+97)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	else
		tmp = Float64(i * Float64(k * Float64(y * 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)
	tmp = 0.0;
	if (y5 <= -2.4e+219)
		tmp = y * (y3 * (a * -y5));
	elseif (y5 <= -9e+188)
		tmp = y * (y5 * (i * k));
	elseif (y5 <= -1.7e+79)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (y5 <= 5e-137)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 5.4e+97)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	else
		tmp = i * (k * (y * y5));
	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[y5, -2.4e+219], N[(y * N[(y3 * N[(a * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -9e+188], N[(y * N[(y5 * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.7e+79], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5e-137], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5.4e+97], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y5 < -2.4e219

   1. Initial program 6.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 53.6%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   5. Taylor expanded in c around 0 53.8%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot y5\right)\right)}\right) \]
   6. Step-by-step derivation

      1. mul-1-neg 53.8%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(-a \cdot y5\right)}\right) \]

      2. distribute-lft-neg-out 53.8%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(\left(-a\right) \cdot y5\right)}\right) \]

      3. *-commutative 53.8%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y5 \cdot \left(-a\right)\right)}\right) \]

   7. Simplified 53.8%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y5 \cdot \left(-a\right)\right)}\right) \]

   if -2.4e219 < y5 < -9.00000000000000021e188

   1. Initial program 60.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 40.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.3%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 50.7%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 50.7%

         \[\leadsto y \cdot \color{blue}{\left(\left(k \cdot y5\right) \cdot i\right)} \]

      2. *-commutative 50.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(y5 \cdot k\right)} \cdot i\right) \]

      3. associate-*l* 50.8%

         \[\leadsto y \cdot \color{blue}{\left(y5 \cdot \left(k \cdot i\right)\right)} \]

      4. *-commutative 50.8%

         \[\leadsto y \cdot \left(y5 \cdot \color{blue}{\left(i \cdot k\right)}\right) \]

   7. Simplified 50.8%

      \[\leadsto y \cdot \color{blue}{\left(y5 \cdot \left(i \cdot k\right)\right)} \]

   if -9.00000000000000021e188 < y5 < -1.70000000000000016e79

   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. Add Preprocessing

   3. Taylor expanded in a around inf 40.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 40.8%

      \[\leadsto \color{blue}{a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if -1.70000000000000016e79 < y5 < 5.00000000000000001e-137

   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. Add Preprocessing

   3. Taylor expanded in a around inf 34.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 40.6%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 40.6%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 40.6%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 40.6%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 40.6%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 40.6%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 40.6%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 5.00000000000000001e-137 < y5 < 5.39999999999999987e97

   1. Initial program 35.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 52.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 45.5%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.5%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 45.5%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 45.5%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 45.5%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 45.5%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if 5.39999999999999987e97 < y5

   1. Initial program 25.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 41.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 41.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 41.6%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 41.6%

         \[\leadsto i \cdot \color{blue}{\left(\left(y \cdot y5\right) \cdot k\right)} \]

   7. Simplified 41.6%

      \[\leadsto \color{blue}{i \cdot \left(\left(y \cdot y5\right) \cdot k\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 43.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.4 \cdot 10^{+219}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(a \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -9 \cdot 10^{+188}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -1.7 \cdot 10^{+79}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 5 \cdot 10^{-137}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 5.4 \cdot 10^{+97}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 24: 28.2% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -8.2 \cdot 10^{+218}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(a \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -2.1 \cdot 10^{+107}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.15 \cdot 10^{-84}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.3 \cdot 10^{-134}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 4.2 \cdot 10^{+98}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -8.2e+218)
   (* y (* y3 (* a (- y5))))
   (if (<= y5 -2.1e+107)
     (* y (* i (* k y5)))
     (if (<= y5 -1.15e-84)
       (* b (* x (- (* y a) (* j y0))))
       (if (<= y5 1.3e-134)
         (* a (* x (- (* y b) (* y1 y2))))
         (if (<= y5 4.2e+98)
           (* a (* z (- (* y1 y3) (* t b))))
           (* i (* k (* y 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 tmp;
	if (y5 <= -8.2e+218) {
		tmp = y * (y3 * (a * -y5));
	} else if (y5 <= -2.1e+107) {
		tmp = y * (i * (k * y5));
	} else if (y5 <= -1.15e-84) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y5 <= 1.3e-134) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 4.2e+98) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = i * (k * (y * 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) :: tmp
    if (y5 <= (-8.2d+218)) then
        tmp = y * (y3 * (a * -y5))
    else if (y5 <= (-2.1d+107)) then
        tmp = y * (i * (k * y5))
    else if (y5 <= (-1.15d-84)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y5 <= 1.3d-134) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 4.2d+98) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else
        tmp = i * (k * (y * 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 tmp;
	if (y5 <= -8.2e+218) {
		tmp = y * (y3 * (a * -y5));
	} else if (y5 <= -2.1e+107) {
		tmp = y * (i * (k * y5));
	} else if (y5 <= -1.15e-84) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y5 <= 1.3e-134) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 4.2e+98) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = i * (k * (y * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -8.2e+218:
		tmp = y * (y3 * (a * -y5))
	elif y5 <= -2.1e+107:
		tmp = y * (i * (k * y5))
	elif y5 <= -1.15e-84:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y5 <= 1.3e-134:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 4.2e+98:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	else:
		tmp = i * (k * (y * y5))
	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 (y5 <= -8.2e+218)
		tmp = Float64(y * Float64(y3 * Float64(a * Float64(-y5))));
	elseif (y5 <= -2.1e+107)
		tmp = Float64(y * Float64(i * Float64(k * y5)));
	elseif (y5 <= -1.15e-84)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y5 <= 1.3e-134)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 4.2e+98)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	else
		tmp = Float64(i * Float64(k * Float64(y * 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)
	tmp = 0.0;
	if (y5 <= -8.2e+218)
		tmp = y * (y3 * (a * -y5));
	elseif (y5 <= -2.1e+107)
		tmp = y * (i * (k * y5));
	elseif (y5 <= -1.15e-84)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y5 <= 1.3e-134)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 4.2e+98)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	else
		tmp = i * (k * (y * y5));
	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[y5, -8.2e+218], N[(y * N[(y3 * N[(a * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.1e+107], N[(y * N[(i * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.15e-84], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.3e-134], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 4.2e+98], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y5 < -8.19999999999999931e218

   1. Initial program 6.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 53.6%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   5. Taylor expanded in c around 0 53.8%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot y5\right)\right)}\right) \]
   6. Step-by-step derivation

      1. mul-1-neg 53.8%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(-a \cdot y5\right)}\right) \]

      2. distribute-lft-neg-out 53.8%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(\left(-a\right) \cdot y5\right)}\right) \]

      3. *-commutative 53.8%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y5 \cdot \left(-a\right)\right)}\right) \]

   7. Simplified 53.8%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y5 \cdot \left(-a\right)\right)}\right) \]

   if -8.19999999999999931e218 < y5 < -2.1e107

   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. Add Preprocessing

   3. Taylor expanded in y around inf 47.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.8%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 41.3%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 41.3%

         \[\leadsto y \cdot \left(i \cdot \color{blue}{\left(y5 \cdot k\right)}\right) \]

   7. Simplified 41.3%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(y5 \cdot k\right)\right)} \]

   if -2.1e107 < y5 < -1.1499999999999999e-84

   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. Add Preprocessing

   3. Taylor expanded in b around inf 30.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 33.6%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -1.1499999999999999e-84 < y5 < 1.30000000000000011e-134

   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. Add Preprocessing

   3. Taylor expanded in a around inf 35.1%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 46.1%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.1%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 46.1%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 46.1%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 46.1%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 46.1%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 46.1%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 1.30000000000000011e-134 < y5 < 4.20000000000000008e98

   1. Initial program 35.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 52.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 45.5%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.5%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 45.5%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 45.5%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 45.5%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 45.5%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if 4.20000000000000008e98 < y5

   1. Initial program 25.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 41.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 41.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 41.6%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 41.6%

         \[\leadsto i \cdot \color{blue}{\left(\left(y \cdot y5\right) \cdot k\right)} \]

   7. Simplified 41.6%

      \[\leadsto \color{blue}{i \cdot \left(\left(y \cdot y5\right) \cdot k\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 43.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -8.2 \cdot 10^{+218}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(a \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -2.1 \cdot 10^{+107}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.15 \cdot 10^{-84}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.3 \cdot 10^{-134}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 4.2 \cdot 10^{+98}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 25: 28.4% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -2.7 \cdot 10^{+243}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(a \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -7.5 \cdot 10^{+142}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -1.4 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 2.15 \cdot 10^{-137}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 2.1 \cdot 10^{+95}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -2.7e+243)
   (* y (* y3 (* a (- y5))))
   (if (<= y5 -7.5e+142)
     (* c (* y0 (- (* x y2) (* z y3))))
     (if (<= y5 -1.4e+47)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= y5 2.15e-137)
         (* a (* x (- (* y b) (* y1 y2))))
         (if (<= y5 2.1e+95)
           (* a (* z (- (* y1 y3) (* t b))))
           (* i (* k (* y 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 tmp;
	if (y5 <= -2.7e+243) {
		tmp = y * (y3 * (a * -y5));
	} else if (y5 <= -7.5e+142) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y5 <= -1.4e+47) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= 2.15e-137) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 2.1e+95) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = i * (k * (y * 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) :: tmp
    if (y5 <= (-2.7d+243)) then
        tmp = y * (y3 * (a * -y5))
    else if (y5 <= (-7.5d+142)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y5 <= (-1.4d+47)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y5 <= 2.15d-137) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 2.1d+95) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else
        tmp = i * (k * (y * 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 tmp;
	if (y5 <= -2.7e+243) {
		tmp = y * (y3 * (a * -y5));
	} else if (y5 <= -7.5e+142) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y5 <= -1.4e+47) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= 2.15e-137) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 2.1e+95) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = i * (k * (y * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -2.7e+243:
		tmp = y * (y3 * (a * -y5))
	elif y5 <= -7.5e+142:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y5 <= -1.4e+47:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y5 <= 2.15e-137:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 2.1e+95:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	else:
		tmp = i * (k * (y * y5))
	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 (y5 <= -2.7e+243)
		tmp = Float64(y * Float64(y3 * Float64(a * Float64(-y5))));
	elseif (y5 <= -7.5e+142)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y5 <= -1.4e+47)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= 2.15e-137)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 2.1e+95)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	else
		tmp = Float64(i * Float64(k * Float64(y * 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)
	tmp = 0.0;
	if (y5 <= -2.7e+243)
		tmp = y * (y3 * (a * -y5));
	elseif (y5 <= -7.5e+142)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y5 <= -1.4e+47)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y5 <= 2.15e-137)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 2.1e+95)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	else
		tmp = i * (k * (y * y5));
	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[y5, -2.7e+243], N[(y * N[(y3 * N[(a * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -7.5e+142], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.4e+47], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.15e-137], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.1e+95], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y5 < -2.7000000000000001e243

   1. Initial program 8.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 58.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 58.7%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   5. Taylor expanded in c around 0 58.8%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot y5\right)\right)}\right) \]
   6. Step-by-step derivation

      1. mul-1-neg 58.8%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(-a \cdot y5\right)}\right) \]

      2. distribute-lft-neg-out 58.8%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(\left(-a\right) \cdot y5\right)}\right) \]

      3. *-commutative 58.8%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y5 \cdot \left(-a\right)\right)}\right) \]

   7. Simplified 58.8%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y5 \cdot \left(-a\right)\right)}\right) \]

   if -2.7000000000000001e243 < y5 < -7.5000000000000002e142

   1. Initial program 43.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 48.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 48.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 48.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 48.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 48.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 48.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 48.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 48.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 48.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in c around inf 40.0%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -7.5000000000000002e142 < y5 < -1.39999999999999994e47

   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. Add Preprocessing

   3. Taylor expanded in b around inf 47.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 53.4%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -1.39999999999999994e47 < y5 < 2.1499999999999999e-137

   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. Add Preprocessing

   3. Taylor expanded in a around inf 34.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 39.9%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 39.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 39.9%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 39.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 39.9%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 39.9%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 39.9%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 2.1499999999999999e-137 < y5 < 2.1e95

   1. Initial program 35.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 52.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 45.5%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.5%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 45.5%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 45.5%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 45.5%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 45.5%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if 2.1e95 < y5

   1. Initial program 25.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 41.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 41.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 41.6%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 41.6%

         \[\leadsto i \cdot \color{blue}{\left(\left(y \cdot y5\right) \cdot k\right)} \]

   7. Simplified 41.6%

      \[\leadsto \color{blue}{i \cdot \left(\left(y \cdot y5\right) \cdot k\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 43.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.7 \cdot 10^{+243}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(a \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -7.5 \cdot 10^{+142}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -1.4 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 2.15 \cdot 10^{-137}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 2.1 \cdot 10^{+95}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 26: 32.7% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -7 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -8 \cdot 10^{+49}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -1 \cdot 10^{-41}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 4 \cdot 10^{-134}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.7 \cdot 10^{+89}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -7e+106)
   (* y (* y5 (- (* i k) (* a y3))))
   (if (<= y5 -8e+49)
     (* b (* y4 (- (* t j) (* y k))))
     (if (<= y5 -1e-41)
       (* y0 (* j (- (* y3 y5) (* x b))))
       (if (<= y5 4e-134)
         (* a (* x (- (* y b) (* y1 y2))))
         (if (<= y5 1.7e+89)
           (* a (* z (- (* y1 y3) (* t b))))
           (* y0 (* y5 (- (* j y3) (* k 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 (y5 <= -7e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -8e+49) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= -1e-41) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (y5 <= 4e-134) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 1.7e+89) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * 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 (y5 <= (-7d+106)) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y5 <= (-8d+49)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y5 <= (-1d-41)) then
        tmp = y0 * (j * ((y3 * y5) - (x * b)))
    else if (y5 <= 4d-134) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 1.7d+89) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else
        tmp = y0 * (y5 * ((j * y3) - (k * 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 (y5 <= -7e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -8e+49) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= -1e-41) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (y5 <= 4e-134) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 1.7e+89) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * 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 y5 <= -7e+106:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y5 <= -8e+49:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y5 <= -1e-41:
		tmp = y0 * (j * ((y3 * y5) - (x * b)))
	elif y5 <= 4e-134:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 1.7e+89:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	else:
		tmp = y0 * (y5 * ((j * y3) - (k * 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 (y5 <= -7e+106)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y5 <= -8e+49)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= -1e-41)
		tmp = Float64(y0 * Float64(j * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (y5 <= 4e-134)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 1.7e+89)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	else
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * 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 (y5 <= -7e+106)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y5 <= -8e+49)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y5 <= -1e-41)
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	elseif (y5 <= 4e-134)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 1.7e+89)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	else
		tmp = y0 * (y5 * ((j * y3) - (k * 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[y5, -7e+106], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -8e+49], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1e-41], N[(y0 * N[(j * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 4e-134], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.7e+89], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y5 < -6.99999999999999962e106

   1. Initial program 34.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   if -6.99999999999999962e106 < y5 < -7.99999999999999957e49

   1. Initial program 10.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 60.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -7.99999999999999957e49 < y5 < -1.00000000000000001e-41

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 38.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in j around inf 33.1%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(j \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 33.1%

         \[\leadsto y0 \cdot \color{blue}{\left(-j \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]

      2. *-commutative 33.1%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right) \cdot j}\right) \]

      3. distribute-lft-neg-in 33.1%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-\left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right) \cdot j\right)} \]

      4. mul-1-neg 33.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-1 \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \cdot j\right) \]

      5. distribute-lft-in 33.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-1 \cdot \left(-1 \cdot \left(y3 \cdot y5\right)\right) + -1 \cdot \left(b \cdot x\right)\right)} \cdot j\right) \]

      6. neg-mul-1 33.1%

         \[\leadsto y0 \cdot \left(\left(\color{blue}{\left(--1 \cdot \left(y3 \cdot y5\right)\right)} + -1 \cdot \left(b \cdot x\right)\right) \cdot j\right) \]

      7. mul-1-neg 33.1%

         \[\leadsto y0 \cdot \left(\left(\left(-\color{blue}{\left(-y3 \cdot y5\right)}\right) + -1 \cdot \left(b \cdot x\right)\right) \cdot j\right) \]

      8. remove-double-neg 33.1%

         \[\leadsto y0 \cdot \left(\left(\color{blue}{y3 \cdot y5} + -1 \cdot \left(b \cdot x\right)\right) \cdot j\right) \]

      9. mul-1-neg 33.1%

         \[\leadsto y0 \cdot \left(\left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right) \cdot j\right) \]

      10. unsub-neg 33.1%

          \[\leadsto y0 \cdot \left(\color{blue}{\left(y3 \cdot y5 - b \cdot x\right)} \cdot j\right) \]

      11. *-commutative 33.1%

          \[\leadsto y0 \cdot \left(\left(y3 \cdot y5 - \color{blue}{x \cdot b}\right) \cdot j\right) \]

   8. Simplified 33.1%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot y5 - x \cdot b\right) \cdot j\right)} \]

   if -1.00000000000000001e-41 < y5 < 4.00000000000000016e-134

   1. Initial program 25.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 34.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 44.3%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 44.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 44.3%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 44.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 44.3%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 44.3%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 44.3%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 4.00000000000000016e-134 < y5 < 1.7000000000000001e89

   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. Add Preprocessing

   3. Taylor expanded in a around inf 51.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 46.3%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.3%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 46.3%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 46.3%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 46.3%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if 1.7000000000000001e89 < y5

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 56.0%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot j} - k \cdot y2\right)\right) \]

   8. Simplified 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot j - k \cdot y2\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 47.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -7 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -8 \cdot 10^{+49}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -1 \cdot 10^{-41}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 4 \cdot 10^{-134}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.7 \cdot 10^{+89}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 27: 32.7% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -4.6 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -4.5 \cdot 10^{+49}:\\ \;\;\;\;\left(b \cdot y4\right) \cdot \left(t \cdot j - y \cdot k\right)\\ \mathbf{elif}\;y5 \leq -5.2 \cdot 10^{-42}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 7.6 \cdot 10^{-134}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.75 \cdot 10^{+88}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -4.6e+106)
   (* y (* y5 (- (* i k) (* a y3))))
   (if (<= y5 -4.5e+49)
     (* (* b y4) (- (* t j) (* y k)))
     (if (<= y5 -5.2e-42)
       (* y0 (* j (- (* y3 y5) (* x b))))
       (if (<= y5 7.6e-134)
         (* a (* x (- (* y b) (* y1 y2))))
         (if (<= y5 1.75e+88)
           (* a (* z (- (* y1 y3) (* t b))))
           (* y0 (* y5 (- (* j y3) (* k 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 (y5 <= -4.6e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -4.5e+49) {
		tmp = (b * y4) * ((t * j) - (y * k));
	} else if (y5 <= -5.2e-42) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (y5 <= 7.6e-134) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 1.75e+88) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * 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 (y5 <= (-4.6d+106)) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y5 <= (-4.5d+49)) then
        tmp = (b * y4) * ((t * j) - (y * k))
    else if (y5 <= (-5.2d-42)) then
        tmp = y0 * (j * ((y3 * y5) - (x * b)))
    else if (y5 <= 7.6d-134) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 1.75d+88) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else
        tmp = y0 * (y5 * ((j * y3) - (k * 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 (y5 <= -4.6e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -4.5e+49) {
		tmp = (b * y4) * ((t * j) - (y * k));
	} else if (y5 <= -5.2e-42) {
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	} else if (y5 <= 7.6e-134) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 1.75e+88) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * 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 y5 <= -4.6e+106:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y5 <= -4.5e+49:
		tmp = (b * y4) * ((t * j) - (y * k))
	elif y5 <= -5.2e-42:
		tmp = y0 * (j * ((y3 * y5) - (x * b)))
	elif y5 <= 7.6e-134:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 1.75e+88:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	else:
		tmp = y0 * (y5 * ((j * y3) - (k * 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 (y5 <= -4.6e+106)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y5 <= -4.5e+49)
		tmp = Float64(Float64(b * y4) * Float64(Float64(t * j) - Float64(y * k)));
	elseif (y5 <= -5.2e-42)
		tmp = Float64(y0 * Float64(j * Float64(Float64(y3 * y5) - Float64(x * b))));
	elseif (y5 <= 7.6e-134)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 1.75e+88)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	else
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * 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 (y5 <= -4.6e+106)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y5 <= -4.5e+49)
		tmp = (b * y4) * ((t * j) - (y * k));
	elseif (y5 <= -5.2e-42)
		tmp = y0 * (j * ((y3 * y5) - (x * b)));
	elseif (y5 <= 7.6e-134)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 1.75e+88)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	else
		tmp = y0 * (y5 * ((j * y3) - (k * 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[y5, -4.6e+106], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -4.5e+49], N[(N[(b * y4), $MachinePrecision] * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -5.2e-42], N[(y0 * N[(j * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 7.6e-134], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.75e+88], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y5 < -4.6000000000000004e106

   1. Initial program 34.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   if -4.6000000000000004e106 < y5 < -4.49999999999999982e49

   1. Initial program 10.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 60.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 60.8%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 60.8%

         \[\leadsto \left(b \cdot y4\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 60.8%

      \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   if -4.49999999999999982e49 < y5 < -5.2e-42

   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. Add Preprocessing

   3. Taylor expanded in y0 around inf 38.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in j around inf 33.1%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(j \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 33.1%

         \[\leadsto y0 \cdot \color{blue}{\left(-j \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]

      2. *-commutative 33.1%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right) \cdot j}\right) \]

      3. distribute-lft-neg-in 33.1%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-\left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right) \cdot j\right)} \]

      4. mul-1-neg 33.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-1 \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \cdot j\right) \]

      5. distribute-lft-in 33.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-1 \cdot \left(-1 \cdot \left(y3 \cdot y5\right)\right) + -1 \cdot \left(b \cdot x\right)\right)} \cdot j\right) \]

      6. neg-mul-1 33.1%

         \[\leadsto y0 \cdot \left(\left(\color{blue}{\left(--1 \cdot \left(y3 \cdot y5\right)\right)} + -1 \cdot \left(b \cdot x\right)\right) \cdot j\right) \]

      7. mul-1-neg 33.1%

         \[\leadsto y0 \cdot \left(\left(\left(-\color{blue}{\left(-y3 \cdot y5\right)}\right) + -1 \cdot \left(b \cdot x\right)\right) \cdot j\right) \]

      8. remove-double-neg 33.1%

         \[\leadsto y0 \cdot \left(\left(\color{blue}{y3 \cdot y5} + -1 \cdot \left(b \cdot x\right)\right) \cdot j\right) \]

      9. mul-1-neg 33.1%

         \[\leadsto y0 \cdot \left(\left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right) \cdot j\right) \]

      10. unsub-neg 33.1%

          \[\leadsto y0 \cdot \left(\color{blue}{\left(y3 \cdot y5 - b \cdot x\right)} \cdot j\right) \]

      11. *-commutative 33.1%

          \[\leadsto y0 \cdot \left(\left(y3 \cdot y5 - \color{blue}{x \cdot b}\right) \cdot j\right) \]

   8. Simplified 33.1%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(y3 \cdot y5 - x \cdot b\right) \cdot j\right)} \]

   if -5.2e-42 < y5 < 7.60000000000000006e-134

   1. Initial program 25.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 34.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 44.3%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 44.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 44.3%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 44.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 44.3%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 44.3%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 44.3%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 7.60000000000000006e-134 < y5 < 1.7499999999999999e88

   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. Add Preprocessing

   3. Taylor expanded in a around inf 51.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 46.3%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.3%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 46.3%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 46.3%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 46.3%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if 1.7499999999999999e88 < y5

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 56.0%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot j} - k \cdot y2\right)\right) \]

   8. Simplified 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot j - k \cdot y2\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 47.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -4.6 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -4.5 \cdot 10^{+49}:\\ \;\;\;\;\left(b \cdot y4\right) \cdot \left(t \cdot j - y \cdot k\right)\\ \mathbf{elif}\;y5 \leq -5.2 \cdot 10^{-42}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 7.6 \cdot 10^{-134}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 1.75 \cdot 10^{+88}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 28: 33.0% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -8.5 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{+50}:\\ \;\;\;\;\left(b \cdot y4\right) \cdot \left(t \cdot j - y \cdot k\right)\\ \mathbf{elif}\;y5 \leq -1.6 \cdot 10^{+35}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(x \cdot y1 - t \cdot y5\right)\\ \mathbf{elif}\;y5 \leq 1.2 \cdot 10^{-131}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 7.5 \cdot 10^{+88}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -8.5e+106)
   (* y (* y5 (- (* i k) (* a y3))))
   (if (<= y5 -5.5e+50)
     (* (* b y4) (- (* t j) (* y k)))
     (if (<= y5 -1.6e+35)
       (* (* i j) (- (* x y1) (* t y5)))
       (if (<= y5 1.2e-131)
         (* a (* x (- (* y b) (* y1 y2))))
         (if (<= y5 7.5e+88)
           (* a (* z (- (* y1 y3) (* t b))))
           (* y0 (* y5 (- (* j y3) (* k 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 (y5 <= -8.5e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -5.5e+50) {
		tmp = (b * y4) * ((t * j) - (y * k));
	} else if (y5 <= -1.6e+35) {
		tmp = (i * j) * ((x * y1) - (t * y5));
	} else if (y5 <= 1.2e-131) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 7.5e+88) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * 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 (y5 <= (-8.5d+106)) then
        tmp = y * (y5 * ((i * k) - (a * y3)))
    else if (y5 <= (-5.5d+50)) then
        tmp = (b * y4) * ((t * j) - (y * k))
    else if (y5 <= (-1.6d+35)) then
        tmp = (i * j) * ((x * y1) - (t * y5))
    else if (y5 <= 1.2d-131) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 7.5d+88) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else
        tmp = y0 * (y5 * ((j * y3) - (k * 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 (y5 <= -8.5e+106) {
		tmp = y * (y5 * ((i * k) - (a * y3)));
	} else if (y5 <= -5.5e+50) {
		tmp = (b * y4) * ((t * j) - (y * k));
	} else if (y5 <= -1.6e+35) {
		tmp = (i * j) * ((x * y1) - (t * y5));
	} else if (y5 <= 1.2e-131) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 7.5e+88) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * 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 y5 <= -8.5e+106:
		tmp = y * (y5 * ((i * k) - (a * y3)))
	elif y5 <= -5.5e+50:
		tmp = (b * y4) * ((t * j) - (y * k))
	elif y5 <= -1.6e+35:
		tmp = (i * j) * ((x * y1) - (t * y5))
	elif y5 <= 1.2e-131:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 7.5e+88:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	else:
		tmp = y0 * (y5 * ((j * y3) - (k * 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 (y5 <= -8.5e+106)
		tmp = Float64(y * Float64(y5 * Float64(Float64(i * k) - Float64(a * y3))));
	elseif (y5 <= -5.5e+50)
		tmp = Float64(Float64(b * y4) * Float64(Float64(t * j) - Float64(y * k)));
	elseif (y5 <= -1.6e+35)
		tmp = Float64(Float64(i * j) * Float64(Float64(x * y1) - Float64(t * y5)));
	elseif (y5 <= 1.2e-131)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 7.5e+88)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	else
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * 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 (y5 <= -8.5e+106)
		tmp = y * (y5 * ((i * k) - (a * y3)));
	elseif (y5 <= -5.5e+50)
		tmp = (b * y4) * ((t * j) - (y * k));
	elseif (y5 <= -1.6e+35)
		tmp = (i * j) * ((x * y1) - (t * y5));
	elseif (y5 <= 1.2e-131)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 7.5e+88)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	else
		tmp = y0 * (y5 * ((j * y3) - (k * 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[y5, -8.5e+106], N[(y * N[(y5 * N[(N[(i * k), $MachinePrecision] - N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -5.5e+50], N[(N[(b * y4), $MachinePrecision] * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.6e+35], N[(N[(i * j), $MachinePrecision] * N[(N[(x * y1), $MachinePrecision] - N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.2e-131], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 7.5e+88], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if y5 < -8.4999999999999992e106

   1. Initial program 34.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 50.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   if -8.4999999999999992e106 < y5 < -5.4999999999999998e50

   1. Initial program 10.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 60.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 60.8%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 60.8%

         \[\leadsto \left(b \cdot y4\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 60.8%

      \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   if -5.4999999999999998e50 < y5 < -1.59999999999999991e35

   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. Add Preprocessing

   3. Taylor expanded in i around -inf 26.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in j around inf 74.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(j \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 75.1%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot j\right) \cdot \left(t \cdot y5 - x \cdot y1\right)\right)} \]

      2. *-commutative 75.1%

         \[\leadsto -1 \cdot \left(\left(i \cdot j\right) \cdot \left(\color{blue}{y5 \cdot t} - x \cdot y1\right)\right) \]

   6. Simplified 75.1%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot j\right) \cdot \left(y5 \cdot t - x \cdot y1\right)\right)} \]

   if -1.59999999999999991e35 < y5 < 1.2e-131

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 34.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 41.4%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 41.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 41.4%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 41.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 41.4%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 41.4%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 41.4%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 1.2e-131 < y5 < 7.50000000000000031e88

   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. Add Preprocessing

   3. Taylor expanded in a around inf 51.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 46.3%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 46.3%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 46.3%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 46.3%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 46.3%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 46.3%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if 7.50000000000000031e88 < y5

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 40.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 56.0%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot j} - k \cdot y2\right)\right) \]

   8. Simplified 56.0%

      \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot j - k \cdot y2\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 48.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -8.5 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{+50}:\\ \;\;\;\;\left(b \cdot y4\right) \cdot \left(t \cdot j - y \cdot k\right)\\ \mathbf{elif}\;y5 \leq -1.6 \cdot 10^{+35}:\\ \;\;\;\;\left(i \cdot j\right) \cdot \left(x \cdot y1 - t \cdot y5\right)\\ \mathbf{elif}\;y5 \leq 1.2 \cdot 10^{-131}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 7.5 \cdot 10^{+88}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 29: 22.3% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;k \leq -3.5 \cdot 10^{+274}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;k \leq -5.8 \cdot 10^{+17}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.55 \cdot 10^{-182}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{+136}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= k -3.5e+274)
   (* b (* k (* y (- y4))))
   (if (<= k -5.8e+17)
     (* y (* i (* k y5)))
     (if (<= k 2.55e-182)
       (* y1 (* a (* z y3)))
       (if (<= k 1.95e+136) (* y (* y3 (* c y4))) (* y (* y5 (* i 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 <= -3.5e+274) {
		tmp = b * (k * (y * -y4));
	} else if (k <= -5.8e+17) {
		tmp = y * (i * (k * y5));
	} else if (k <= 2.55e-182) {
		tmp = y1 * (a * (z * y3));
	} else if (k <= 1.95e+136) {
		tmp = y * (y3 * (c * y4));
	} else {
		tmp = y * (y5 * (i * 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 <= (-3.5d+274)) then
        tmp = b * (k * (y * -y4))
    else if (k <= (-5.8d+17)) then
        tmp = y * (i * (k * y5))
    else if (k <= 2.55d-182) then
        tmp = y1 * (a * (z * y3))
    else if (k <= 1.95d+136) then
        tmp = y * (y3 * (c * y4))
    else
        tmp = y * (y5 * (i * 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 <= -3.5e+274) {
		tmp = b * (k * (y * -y4));
	} else if (k <= -5.8e+17) {
		tmp = y * (i * (k * y5));
	} else if (k <= 2.55e-182) {
		tmp = y1 * (a * (z * y3));
	} else if (k <= 1.95e+136) {
		tmp = y * (y3 * (c * y4));
	} else {
		tmp = y * (y5 * (i * 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 <= -3.5e+274:
		tmp = b * (k * (y * -y4))
	elif k <= -5.8e+17:
		tmp = y * (i * (k * y5))
	elif k <= 2.55e-182:
		tmp = y1 * (a * (z * y3))
	elif k <= 1.95e+136:
		tmp = y * (y3 * (c * y4))
	else:
		tmp = y * (y5 * (i * 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 <= -3.5e+274)
		tmp = Float64(b * Float64(k * Float64(y * Float64(-y4))));
	elseif (k <= -5.8e+17)
		tmp = Float64(y * Float64(i * Float64(k * y5)));
	elseif (k <= 2.55e-182)
		tmp = Float64(y1 * Float64(a * Float64(z * y3)));
	elseif (k <= 1.95e+136)
		tmp = Float64(y * Float64(y3 * Float64(c * y4)));
	else
		tmp = Float64(y * Float64(y5 * Float64(i * 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 <= -3.5e+274)
		tmp = b * (k * (y * -y4));
	elseif (k <= -5.8e+17)
		tmp = y * (i * (k * y5));
	elseif (k <= 2.55e-182)
		tmp = y1 * (a * (z * y3));
	elseif (k <= 1.95e+136)
		tmp = y * (y3 * (c * y4));
	else
		tmp = y * (y5 * (i * 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, -3.5e+274], N[(b * N[(k * N[(y * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -5.8e+17], N[(y * N[(i * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.55e-182], N[(y1 * N[(a * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.95e+136], N[(y * N[(y3 * N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(y5 * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if k < -3.4999999999999996e274

   1. Initial program 9.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 63.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in b around -inf 55.2%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(y \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 55.2%

         \[\leadsto \color{blue}{-b \cdot \left(y \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 55.2%

         \[\leadsto \color{blue}{b \cdot \left(-y \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]

      3. +-commutative 55.2%

         \[\leadsto b \cdot \left(-y \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      4. mul-1-neg 55.2%

         \[\leadsto b \cdot \left(-y \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      5. unsub-neg 55.2%

         \[\leadsto b \cdot \left(-y \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

      6. *-commutative 55.2%

         \[\leadsto b \cdot \left(-y \cdot \left(\color{blue}{y4 \cdot k} - a \cdot x\right)\right) \]

      7. *-commutative 55.2%

         \[\leadsto b \cdot \left(-y \cdot \left(y4 \cdot k - \color{blue}{x \cdot a}\right)\right) \]

   6. Simplified 55.2%

      \[\leadsto \color{blue}{b \cdot \left(-y \cdot \left(y4 \cdot k - x \cdot a\right)\right)} \]

   7. Taylor expanded in y4 around inf 46.5%

      \[\leadsto b \cdot \left(-\color{blue}{k \cdot \left(y \cdot y4\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 46.5%

         \[\leadsto b \cdot \left(-k \cdot \color{blue}{\left(y4 \cdot y\right)}\right) \]

   9. Simplified 46.5%

      \[\leadsto b \cdot \left(-\color{blue}{k \cdot \left(y4 \cdot y\right)}\right) \]

   if -3.4999999999999996e274 < k < -5.8e17

   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. Add Preprocessing

   3. Taylor expanded in y around inf 51.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 36.3%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 40.6%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 40.6%

         \[\leadsto y \cdot \left(i \cdot \color{blue}{\left(y5 \cdot k\right)}\right) \]

   7. Simplified 40.6%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(y5 \cdot k\right)\right)} \]

   if -5.8e17 < k < 2.55000000000000009e-182

   1. Initial program 30.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 44.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 45.9%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]

      2. mul-1-neg 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \color{blue}{\left(-y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) \]

      3. *-commutative 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \left(-\color{blue}{\left(x \cdot y2 - y3 \cdot z\right) \cdot y1}\right)\right) \]

      4. unsub-neg 45.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

      5. cancel-sign-sub-inv 45.9%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(x \cdot y + \left(-t\right) \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      6. *-commutative 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} + \left(-t\right) \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      7. cancel-sign-sub-inv 45.9%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x - t \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

   6. Simplified 45.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

   7. Taylor expanded in y3 around inf 30.5%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 30.5%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right) \cdot a} \]

      2. associate-*l* 29.5%

         \[\leadsto \color{blue}{y1 \cdot \left(\left(y3 \cdot z\right) \cdot a\right)} \]

   9. Simplified 29.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(y3 \cdot z\right) \cdot a\right)} \]

   if 2.55000000000000009e-182 < k < 1.9500000000000001e136

   1. Initial program 35.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 53.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 36.0%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   5. Taylor expanded in c around inf 27.2%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(c \cdot y4\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 27.2%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y4 \cdot c\right)}\right) \]

   7. Simplified 27.2%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y4 \cdot c\right)}\right) \]

   if 1.9500000000000001e136 < k

   1. Initial program 16.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 47.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 53.6%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 45.5%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.5%

         \[\leadsto y \cdot \color{blue}{\left(\left(k \cdot y5\right) \cdot i\right)} \]

      2. *-commutative 45.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(y5 \cdot k\right)} \cdot i\right) \]

      3. associate-*l* 48.2%

         \[\leadsto y \cdot \color{blue}{\left(y5 \cdot \left(k \cdot i\right)\right)} \]

      4. *-commutative 48.2%

         \[\leadsto y \cdot \left(y5 \cdot \color{blue}{\left(i \cdot k\right)}\right) \]

   7. Simplified 48.2%

      \[\leadsto y \cdot \color{blue}{\left(y5 \cdot \left(i \cdot k\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 34.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -3.5 \cdot 10^{+274}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;k \leq -5.8 \cdot 10^{+17}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.55 \cdot 10^{-182}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{+136}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 30: 28.5% accurate, 3.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{if}\;k \leq -6 \cdot 10^{+261}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -4.6 \cdot 10^{+68}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{+138}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* x (- (* y b) (* y1 y2))))))
   (if (<= k -6e+261)
     t_1
     (if (<= k -4.6e+68)
       (* y (* i (* k y5)))
       (if (<= k 1.05e+138) t_1 (* y (* y5 (* i 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 t_1 = a * (x * ((y * b) - (y1 * y2)));
	double tmp;
	if (k <= -6e+261) {
		tmp = t_1;
	} else if (k <= -4.6e+68) {
		tmp = y * (i * (k * y5));
	} else if (k <= 1.05e+138) {
		tmp = t_1;
	} else {
		tmp = y * (y5 * (i * 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) :: t_1
    real(8) :: tmp
    t_1 = a * (x * ((y * b) - (y1 * y2)))
    if (k <= (-6d+261)) then
        tmp = t_1
    else if (k <= (-4.6d+68)) then
        tmp = y * (i * (k * y5))
    else if (k <= 1.05d+138) then
        tmp = t_1
    else
        tmp = y * (y5 * (i * 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 t_1 = a * (x * ((y * b) - (y1 * y2)));
	double tmp;
	if (k <= -6e+261) {
		tmp = t_1;
	} else if (k <= -4.6e+68) {
		tmp = y * (i * (k * y5));
	} else if (k <= 1.05e+138) {
		tmp = t_1;
	} else {
		tmp = y * (y5 * (i * k));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (x * ((y * b) - (y1 * y2)))
	tmp = 0
	if k <= -6e+261:
		tmp = t_1
	elif k <= -4.6e+68:
		tmp = y * (i * (k * y5))
	elif k <= 1.05e+138:
		tmp = t_1
	else:
		tmp = y * (y5 * (i * k))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))))
	tmp = 0.0
	if (k <= -6e+261)
		tmp = t_1;
	elseif (k <= -4.6e+68)
		tmp = Float64(y * Float64(i * Float64(k * y5)));
	elseif (k <= 1.05e+138)
		tmp = t_1;
	else
		tmp = Float64(y * Float64(y5 * Float64(i * 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)
	t_1 = a * (x * ((y * b) - (y1 * y2)));
	tmp = 0.0;
	if (k <= -6e+261)
		tmp = t_1;
	elseif (k <= -4.6e+68)
		tmp = y * (i * (k * y5));
	elseif (k <= 1.05e+138)
		tmp = t_1;
	else
		tmp = y * (y5 * (i * k));
	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[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -6e+261], t$95$1, If[LessEqual[k, -4.6e+68], N[(y * N[(i * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.05e+138], t$95$1, N[(y * N[(y5 * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 3 regimes

2. if k < -5.99999999999999957e261 or -4.6e68 < k < 1.05000000000000003e138

   1. Initial program 30.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 42.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 33.3%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 33.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 33.3%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 33.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 33.3%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 33.3%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 33.3%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if -5.99999999999999957e261 < k < -4.6e68

   1. Initial program 28.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 51.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 42.9%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 46.4%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 46.4%

         \[\leadsto y \cdot \left(i \cdot \color{blue}{\left(y5 \cdot k\right)}\right) \]

   7. Simplified 46.4%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(y5 \cdot k\right)\right)} \]

   if 1.05000000000000003e138 < k

   1. Initial program 16.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 47.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 53.6%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 45.5%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.5%

         \[\leadsto y \cdot \color{blue}{\left(\left(k \cdot y5\right) \cdot i\right)} \]

      2. *-commutative 45.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(y5 \cdot k\right)} \cdot i\right) \]

      3. associate-*l* 48.2%

         \[\leadsto y \cdot \color{blue}{\left(y5 \cdot \left(k \cdot i\right)\right)} \]

      4. *-commutative 48.2%

         \[\leadsto y \cdot \left(y5 \cdot \color{blue}{\left(i \cdot k\right)}\right) \]

   7. Simplified 48.2%

      \[\leadsto y \cdot \color{blue}{\left(y5 \cdot \left(i \cdot k\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 37.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -6 \cdot 10^{+261}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -4.6 \cdot 10^{+68}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{+138}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 31: 27.9% accurate, 3.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y5 \leq -4.5 \cdot 10^{+52}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{-133}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 5 \cdot 10^{+94}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y5 -4.5e+52)
   (* b (* y4 (- (* t j) (* y k))))
   (if (<= y5 2.6e-133)
     (* a (* x (- (* y b) (* y1 y2))))
     (if (<= y5 5e+94)
       (* a (* z (- (* y1 y3) (* t b))))
       (* i (* k (* y 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 tmp;
	if (y5 <= -4.5e+52) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= 2.6e-133) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 5e+94) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = i * (k * (y * 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) :: tmp
    if (y5 <= (-4.5d+52)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y5 <= 2.6d-133) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 5d+94) then
        tmp = a * (z * ((y1 * y3) - (t * b)))
    else
        tmp = i * (k * (y * 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 tmp;
	if (y5 <= -4.5e+52) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= 2.6e-133) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 5e+94) {
		tmp = a * (z * ((y1 * y3) - (t * b)));
	} else {
		tmp = i * (k * (y * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y5 <= -4.5e+52:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y5 <= 2.6e-133:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 5e+94:
		tmp = a * (z * ((y1 * y3) - (t * b)))
	else:
		tmp = i * (k * (y * y5))
	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 (y5 <= -4.5e+52)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= 2.6e-133)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 5e+94)
		tmp = Float64(a * Float64(z * Float64(Float64(y1 * y3) - Float64(t * b))));
	else
		tmp = Float64(i * Float64(k * Float64(y * 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)
	tmp = 0.0;
	if (y5 <= -4.5e+52)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y5 <= 2.6e-133)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 5e+94)
		tmp = a * (z * ((y1 * y3) - (t * b)));
	else
		tmp = i * (k * (y * y5));
	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[y5, -4.5e+52], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.6e-133], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5e+94], N[(a * N[(z * N[(N[(y1 * y3), $MachinePrecision] - N[(t * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y5 < -4.5e52

   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. Add Preprocessing

   3. Taylor expanded in b around inf 47.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 40.3%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -4.5e52 < y5 < 2.5999999999999999e-133

   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. Add Preprocessing

   3. Taylor expanded in a around inf 34.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 39.9%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 39.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 39.9%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 39.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 39.9%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 39.9%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 39.9%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   if 2.5999999999999999e-133 < y5 < 5.0000000000000001e94

   1. Initial program 35.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 52.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in z around inf 45.5%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(-1 \cdot \left(b \cdot t\right) + y1 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.5%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 + -1 \cdot \left(b \cdot t\right)\right)}\right) \]

      2. mul-1-neg 45.5%

         \[\leadsto a \cdot \left(z \cdot \left(y1 \cdot y3 + \color{blue}{\left(-b \cdot t\right)}\right)\right) \]

      3. unsub-neg 45.5%

         \[\leadsto a \cdot \left(z \cdot \color{blue}{\left(y1 \cdot y3 - b \cdot t\right)}\right) \]

      4. *-commutative 45.5%

         \[\leadsto a \cdot \left(z \cdot \left(\color{blue}{y3 \cdot y1} - b \cdot t\right)\right) \]

   6. Simplified 45.5%

      \[\leadsto a \cdot \color{blue}{\left(z \cdot \left(y3 \cdot y1 - b \cdot t\right)\right)} \]

   if 5.0000000000000001e94 < y5

   1. Initial program 25.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 41.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 41.7%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 41.6%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 41.6%

         \[\leadsto i \cdot \color{blue}{\left(\left(y \cdot y5\right) \cdot k\right)} \]

   7. Simplified 41.6%

      \[\leadsto \color{blue}{i \cdot \left(\left(y \cdot y5\right) \cdot k\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 41.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -4.5 \cdot 10^{+52}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{-133}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 5 \cdot 10^{+94}:\\ \;\;\;\;a \cdot \left(z \cdot \left(y1 \cdot y3 - t \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 32: 22.0% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{if}\;y5 \leq -7 \cdot 10^{+71}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 10^{-226}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 8.4 \cdot 10^{+136}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* k (* y y5)))))
   (if (<= y5 -7e+71)
     t_1
     (if (<= y5 1e-226)
       (* a (* x (* y b)))
       (if (<= y5 8.4e+136) (* a (* y3 (* z y1))) 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 = i * (k * (y * y5));
	double tmp;
	if (y5 <= -7e+71) {
		tmp = t_1;
	} else if (y5 <= 1e-226) {
		tmp = a * (x * (y * b));
	} else if (y5 <= 8.4e+136) {
		tmp = a * (y3 * (z * y1));
	} 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 = i * (k * (y * y5))
    if (y5 <= (-7d+71)) then
        tmp = t_1
    else if (y5 <= 1d-226) then
        tmp = a * (x * (y * b))
    else if (y5 <= 8.4d+136) then
        tmp = a * (y3 * (z * y1))
    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 = i * (k * (y * y5));
	double tmp;
	if (y5 <= -7e+71) {
		tmp = t_1;
	} else if (y5 <= 1e-226) {
		tmp = a * (x * (y * b));
	} else if (y5 <= 8.4e+136) {
		tmp = a * (y3 * (z * y1));
	} 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 = i * (k * (y * y5))
	tmp = 0
	if y5 <= -7e+71:
		tmp = t_1
	elif y5 <= 1e-226:
		tmp = a * (x * (y * b))
	elif y5 <= 8.4e+136:
		tmp = a * (y3 * (z * y1))
	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(i * Float64(k * Float64(y * y5)))
	tmp = 0.0
	if (y5 <= -7e+71)
		tmp = t_1;
	elseif (y5 <= 1e-226)
		tmp = Float64(a * Float64(x * Float64(y * b)));
	elseif (y5 <= 8.4e+136)
		tmp = Float64(a * Float64(y3 * Float64(z * y1)));
	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 = i * (k * (y * y5));
	tmp = 0.0;
	if (y5 <= -7e+71)
		tmp = t_1;
	elseif (y5 <= 1e-226)
		tmp = a * (x * (y * b));
	elseif (y5 <= 8.4e+136)
		tmp = a * (y3 * (z * y1));
	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[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -7e+71], t$95$1, If[LessEqual[y5, 1e-226], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 8.4e+136], N[(a * N[(y3 * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if y5 < -6.9999999999999998e71 or 8.3999999999999996e136 < y5

   1. Initial program 26.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 44.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 46.8%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 36.5%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 36.5%

         \[\leadsto i \cdot \color{blue}{\left(\left(y \cdot y5\right) \cdot k\right)} \]

   7. Simplified 36.5%

      \[\leadsto \color{blue}{i \cdot \left(\left(y \cdot y5\right) \cdot k\right)} \]

   if -6.9999999999999998e71 < y5 < 9.99999999999999921e-227

   1. Initial program 25.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 32.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 39.5%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 39.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 39.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 39.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 39.5%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 39.5%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 39.5%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   7. Taylor expanded in y around inf 26.4%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 26.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(y \cdot b\right)}\right) \]

   9. Simplified 26.4%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(y \cdot b\right)}\right) \]

   if 9.99999999999999921e-227 < y5 < 8.3999999999999996e136

   1. Initial program 34.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 50.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 42.0%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 42.0%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]

      2. mul-1-neg 42.0%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \color{blue}{\left(-y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) \]

      3. *-commutative 42.0%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \left(-\color{blue}{\left(x \cdot y2 - y3 \cdot z\right) \cdot y1}\right)\right) \]

      4. unsub-neg 42.0%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

      5. cancel-sign-sub-inv 42.0%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(x \cdot y + \left(-t\right) \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      6. *-commutative 42.0%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} + \left(-t\right) \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      7. cancel-sign-sub-inv 42.0%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x - t \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

   6. Simplified 42.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

   7. Taylor expanded in y3 around inf 28.3%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.6%

         \[\leadsto a \cdot \color{blue}{\left(\left(y1 \cdot y3\right) \cdot z\right)} \]

      2. *-commutative 29.6%

         \[\leadsto a \cdot \left(\color{blue}{\left(y3 \cdot y1\right)} \cdot z\right) \]

      3. associate-*l* 29.7%

         \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z\right)\right)} \]

   9. Simplified 29.7%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 30.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -7 \cdot 10^{+71}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 10^{-226}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y5 \leq 8.4 \cdot 10^{+136}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 33: 21.6% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{if}\;k \leq -1.06 \cdot 10^{+17}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 4.8 \cdot 10^{-246}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 8.6 \cdot 10^{+112}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* i (* k y5)))))
   (if (<= k -1.06e+17)
     t_1
     (if (<= k 4.8e-246)
       (* a (* y3 (* z y1)))
       (if (<= k 8.6e+112) (* a (* x (* y b))) 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 = y * (i * (k * y5));
	double tmp;
	if (k <= -1.06e+17) {
		tmp = t_1;
	} else if (k <= 4.8e-246) {
		tmp = a * (y3 * (z * y1));
	} else if (k <= 8.6e+112) {
		tmp = a * (x * (y * b));
	} 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 = y * (i * (k * y5))
    if (k <= (-1.06d+17)) then
        tmp = t_1
    else if (k <= 4.8d-246) then
        tmp = a * (y3 * (z * y1))
    else if (k <= 8.6d+112) then
        tmp = a * (x * (y * b))
    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 = y * (i * (k * y5));
	double tmp;
	if (k <= -1.06e+17) {
		tmp = t_1;
	} else if (k <= 4.8e-246) {
		tmp = a * (y3 * (z * y1));
	} else if (k <= 8.6e+112) {
		tmp = a * (x * (y * b));
	} 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 = y * (i * (k * y5))
	tmp = 0
	if k <= -1.06e+17:
		tmp = t_1
	elif k <= 4.8e-246:
		tmp = a * (y3 * (z * y1))
	elif k <= 8.6e+112:
		tmp = a * (x * (y * b))
	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(y * Float64(i * Float64(k * y5)))
	tmp = 0.0
	if (k <= -1.06e+17)
		tmp = t_1;
	elseif (k <= 4.8e-246)
		tmp = Float64(a * Float64(y3 * Float64(z * y1)));
	elseif (k <= 8.6e+112)
		tmp = Float64(a * Float64(x * Float64(y * b)));
	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 = y * (i * (k * y5));
	tmp = 0.0;
	if (k <= -1.06e+17)
		tmp = t_1;
	elseif (k <= 4.8e-246)
		tmp = a * (y3 * (z * y1));
	elseif (k <= 8.6e+112)
		tmp = a * (x * (y * b));
	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[(y * N[(i * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.06e+17], t$95$1, If[LessEqual[k, 4.8e-246], N[(a * N[(y3 * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 8.6e+112], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if k < -1.06e17 or 8.59999999999999966e112 < k

   1. Initial program 22.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 50.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 39.2%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 37.8%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 37.8%

         \[\leadsto y \cdot \left(i \cdot \color{blue}{\left(y5 \cdot k\right)}\right) \]

   7. Simplified 37.8%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(y5 \cdot k\right)\right)} \]

   if -1.06e17 < k < 4.7999999999999996e-246

   1. Initial program 30.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 40.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 42.2%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 42.2%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]

      2. mul-1-neg 42.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \color{blue}{\left(-y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) \]

      3. *-commutative 42.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \left(-\color{blue}{\left(x \cdot y2 - y3 \cdot z\right) \cdot y1}\right)\right) \]

      4. unsub-neg 42.2%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

      5. cancel-sign-sub-inv 42.2%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(x \cdot y + \left(-t\right) \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      6. *-commutative 42.2%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} + \left(-t\right) \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      7. cancel-sign-sub-inv 42.2%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x - t \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

   6. Simplified 42.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

   7. Taylor expanded in y3 around inf 30.7%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 30.7%

         \[\leadsto a \cdot \color{blue}{\left(\left(y1 \cdot y3\right) \cdot z\right)} \]

      2. *-commutative 30.7%

         \[\leadsto a \cdot \left(\color{blue}{\left(y3 \cdot y1\right)} \cdot z\right) \]

      3. associate-*l* 30.7%

         \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z\right)\right)} \]

   9. Simplified 30.7%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z\right)\right)} \]

   if 4.7999999999999996e-246 < k < 8.59999999999999966e112

   1. Initial program 34.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 45.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 35.1%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 35.1%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 35.1%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 35.1%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 35.1%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 35.1%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 35.1%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   7. Taylor expanded in y around inf 23.5%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 23.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(y \cdot b\right)}\right) \]

   9. Simplified 23.5%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(y \cdot b\right)}\right) \]
3. Recombined 3 regimes into one program.

4. Final simplification 31.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.06 \cdot 10^{+17}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 4.8 \cdot 10^{-246}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 8.6 \cdot 10^{+112}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 34: 21.7% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{if}\;k \leq -6 \cdot 10^{+20}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 2.8 \cdot 10^{-182}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{+136}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* i (* k y5)))))
   (if (<= k -6e+20)
     t_1
     (if (<= k 2.8e-182)
       (* a (* y3 (* z y1)))
       (if (<= k 1.95e+136) (* y (* y3 (* c 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 = y * (i * (k * y5));
	double tmp;
	if (k <= -6e+20) {
		tmp = t_1;
	} else if (k <= 2.8e-182) {
		tmp = a * (y3 * (z * y1));
	} else if (k <= 1.95e+136) {
		tmp = y * (y3 * (c * 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 = y * (i * (k * y5))
    if (k <= (-6d+20)) then
        tmp = t_1
    else if (k <= 2.8d-182) then
        tmp = a * (y3 * (z * y1))
    else if (k <= 1.95d+136) then
        tmp = y * (y3 * (c * 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 = y * (i * (k * y5));
	double tmp;
	if (k <= -6e+20) {
		tmp = t_1;
	} else if (k <= 2.8e-182) {
		tmp = a * (y3 * (z * y1));
	} else if (k <= 1.95e+136) {
		tmp = y * (y3 * (c * 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 = y * (i * (k * y5))
	tmp = 0
	if k <= -6e+20:
		tmp = t_1
	elif k <= 2.8e-182:
		tmp = a * (y3 * (z * y1))
	elif k <= 1.95e+136:
		tmp = y * (y3 * (c * 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(y * Float64(i * Float64(k * y5)))
	tmp = 0.0
	if (k <= -6e+20)
		tmp = t_1;
	elseif (k <= 2.8e-182)
		tmp = Float64(a * Float64(y3 * Float64(z * y1)));
	elseif (k <= 1.95e+136)
		tmp = Float64(y * Float64(y3 * Float64(c * 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 = y * (i * (k * y5));
	tmp = 0.0;
	if (k <= -6e+20)
		tmp = t_1;
	elseif (k <= 2.8e-182)
		tmp = a * (y3 * (z * y1));
	elseif (k <= 1.95e+136)
		tmp = y * (y3 * (c * 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[(y * N[(i * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -6e+20], t$95$1, If[LessEqual[k, 2.8e-182], N[(a * N[(y3 * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.95e+136], N[(y * N[(y3 * N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]

Derivation

1. Split input into 3 regimes

2. if k < -6e20 or 1.9500000000000001e136 < k

   1. Initial program 22.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 51.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 40.4%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 39.0%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 39.0%

         \[\leadsto y \cdot \left(i \cdot \color{blue}{\left(y5 \cdot k\right)}\right) \]

   7. Simplified 39.0%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(y5 \cdot k\right)\right)} \]

   if -6e20 < k < 2.79999999999999993e-182

   1. Initial program 30.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 44.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 45.9%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]

      2. mul-1-neg 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \color{blue}{\left(-y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) \]

      3. *-commutative 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \left(-\color{blue}{\left(x \cdot y2 - y3 \cdot z\right) \cdot y1}\right)\right) \]

      4. unsub-neg 45.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

      5. cancel-sign-sub-inv 45.9%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(x \cdot y + \left(-t\right) \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      6. *-commutative 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} + \left(-t\right) \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      7. cancel-sign-sub-inv 45.9%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x - t \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

   6. Simplified 45.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

   7. Taylor expanded in y3 around inf 30.5%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.4%

         \[\leadsto a \cdot \color{blue}{\left(\left(y1 \cdot y3\right) \cdot z\right)} \]

      2. *-commutative 29.4%

         \[\leadsto a \cdot \left(\color{blue}{\left(y3 \cdot y1\right)} \cdot z\right) \]

      3. associate-*l* 29.4%

         \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z\right)\right)} \]

   9. Simplified 29.4%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z\right)\right)} \]

   if 2.79999999999999993e-182 < k < 1.9500000000000001e136

   1. Initial program 35.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 53.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 36.0%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   5. Taylor expanded in c around inf 27.2%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(c \cdot y4\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 27.2%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y4 \cdot c\right)}\right) \]

   7. Simplified 27.2%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y4 \cdot c\right)}\right) \]
3. Recombined 3 regimes into one program.

4. Final simplification 32.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -6 \cdot 10^{+20}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.8 \cdot 10^{-182}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{+136}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 35: 22.0% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;k \leq -3.1 \cdot 10^{+19}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.2 \cdot 10^{-182}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 2.3 \cdot 10^{+140}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= k -3.1e+19)
   (* y (* i (* k y5)))
   (if (<= k 1.2e-182)
     (* a (* y3 (* z y1)))
     (if (<= k 2.3e+140) (* y (* y3 (* c y4))) (* y (* y5 (* i 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 <= -3.1e+19) {
		tmp = y * (i * (k * y5));
	} else if (k <= 1.2e-182) {
		tmp = a * (y3 * (z * y1));
	} else if (k <= 2.3e+140) {
		tmp = y * (y3 * (c * y4));
	} else {
		tmp = y * (y5 * (i * 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 <= (-3.1d+19)) then
        tmp = y * (i * (k * y5))
    else if (k <= 1.2d-182) then
        tmp = a * (y3 * (z * y1))
    else if (k <= 2.3d+140) then
        tmp = y * (y3 * (c * y4))
    else
        tmp = y * (y5 * (i * 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 <= -3.1e+19) {
		tmp = y * (i * (k * y5));
	} else if (k <= 1.2e-182) {
		tmp = a * (y3 * (z * y1));
	} else if (k <= 2.3e+140) {
		tmp = y * (y3 * (c * y4));
	} else {
		tmp = y * (y5 * (i * 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 <= -3.1e+19:
		tmp = y * (i * (k * y5))
	elif k <= 1.2e-182:
		tmp = a * (y3 * (z * y1))
	elif k <= 2.3e+140:
		tmp = y * (y3 * (c * y4))
	else:
		tmp = y * (y5 * (i * 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 <= -3.1e+19)
		tmp = Float64(y * Float64(i * Float64(k * y5)));
	elseif (k <= 1.2e-182)
		tmp = Float64(a * Float64(y3 * Float64(z * y1)));
	elseif (k <= 2.3e+140)
		tmp = Float64(y * Float64(y3 * Float64(c * y4)));
	else
		tmp = Float64(y * Float64(y5 * Float64(i * 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 <= -3.1e+19)
		tmp = y * (i * (k * y5));
	elseif (k <= 1.2e-182)
		tmp = a * (y3 * (z * y1));
	elseif (k <= 2.3e+140)
		tmp = y * (y3 * (c * y4));
	else
		tmp = y * (y5 * (i * 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, -3.1e+19], N[(y * N[(i * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.2e-182], N[(a * N[(y3 * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.3e+140], N[(y * N[(y3 * N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(y5 * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if k < -3.1e19

   1. Initial program 25.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 53.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 33.4%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 35.5%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 35.5%

         \[\leadsto y \cdot \left(i \cdot \color{blue}{\left(y5 \cdot k\right)}\right) \]

   7. Simplified 35.5%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(y5 \cdot k\right)\right)} \]

   if -3.1e19 < k < 1.1999999999999999e-182

   1. Initial program 30.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 44.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 45.9%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]

      2. mul-1-neg 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \color{blue}{\left(-y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) \]

      3. *-commutative 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \left(-\color{blue}{\left(x \cdot y2 - y3 \cdot z\right) \cdot y1}\right)\right) \]

      4. unsub-neg 45.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

      5. cancel-sign-sub-inv 45.9%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(x \cdot y + \left(-t\right) \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      6. *-commutative 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} + \left(-t\right) \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      7. cancel-sign-sub-inv 45.9%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x - t \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

   6. Simplified 45.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

   7. Taylor expanded in y3 around inf 30.5%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 29.4%

         \[\leadsto a \cdot \color{blue}{\left(\left(y1 \cdot y3\right) \cdot z\right)} \]

      2. *-commutative 29.4%

         \[\leadsto a \cdot \left(\color{blue}{\left(y3 \cdot y1\right)} \cdot z\right) \]

      3. associate-*l* 29.4%

         \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z\right)\right)} \]

   9. Simplified 29.4%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z\right)\right)} \]

   if 1.1999999999999999e-182 < k < 2.2999999999999999e140

   1. Initial program 35.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 53.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 36.0%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   5. Taylor expanded in c around inf 27.2%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(c \cdot y4\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 27.2%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y4 \cdot c\right)}\right) \]

   7. Simplified 27.2%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y4 \cdot c\right)}\right) \]

   if 2.2999999999999999e140 < k

   1. Initial program 16.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 47.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 53.6%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 45.5%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.5%

         \[\leadsto y \cdot \color{blue}{\left(\left(k \cdot y5\right) \cdot i\right)} \]

      2. *-commutative 45.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(y5 \cdot k\right)} \cdot i\right) \]

      3. associate-*l* 48.2%

         \[\leadsto y \cdot \color{blue}{\left(y5 \cdot \left(k \cdot i\right)\right)} \]

      4. *-commutative 48.2%

         \[\leadsto y \cdot \left(y5 \cdot \color{blue}{\left(i \cdot k\right)}\right) \]

   7. Simplified 48.2%

      \[\leadsto y \cdot \color{blue}{\left(y5 \cdot \left(i \cdot k\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 33.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -3.1 \cdot 10^{+19}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.2 \cdot 10^{-182}:\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 2.3 \cdot 10^{+140}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 36: 22.1% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;k \leq -2.05 \cdot 10^{+18}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.8 \cdot 10^{-182}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{+136}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= k -2.05e+18)
   (* y (* i (* k y5)))
   (if (<= k 2.8e-182)
     (* y1 (* a (* z y3)))
     (if (<= k 1.95e+136) (* y (* y3 (* c y4))) (* y (* y5 (* i 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 <= -2.05e+18) {
		tmp = y * (i * (k * y5));
	} else if (k <= 2.8e-182) {
		tmp = y1 * (a * (z * y3));
	} else if (k <= 1.95e+136) {
		tmp = y * (y3 * (c * y4));
	} else {
		tmp = y * (y5 * (i * 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 <= (-2.05d+18)) then
        tmp = y * (i * (k * y5))
    else if (k <= 2.8d-182) then
        tmp = y1 * (a * (z * y3))
    else if (k <= 1.95d+136) then
        tmp = y * (y3 * (c * y4))
    else
        tmp = y * (y5 * (i * 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 <= -2.05e+18) {
		tmp = y * (i * (k * y5));
	} else if (k <= 2.8e-182) {
		tmp = y1 * (a * (z * y3));
	} else if (k <= 1.95e+136) {
		tmp = y * (y3 * (c * y4));
	} else {
		tmp = y * (y5 * (i * 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 <= -2.05e+18:
		tmp = y * (i * (k * y5))
	elif k <= 2.8e-182:
		tmp = y1 * (a * (z * y3))
	elif k <= 1.95e+136:
		tmp = y * (y3 * (c * y4))
	else:
		tmp = y * (y5 * (i * 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 <= -2.05e+18)
		tmp = Float64(y * Float64(i * Float64(k * y5)));
	elseif (k <= 2.8e-182)
		tmp = Float64(y1 * Float64(a * Float64(z * y3)));
	elseif (k <= 1.95e+136)
		tmp = Float64(y * Float64(y3 * Float64(c * y4)));
	else
		tmp = Float64(y * Float64(y5 * Float64(i * 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 <= -2.05e+18)
		tmp = y * (i * (k * y5));
	elseif (k <= 2.8e-182)
		tmp = y1 * (a * (z * y3));
	elseif (k <= 1.95e+136)
		tmp = y * (y3 * (c * y4));
	else
		tmp = y * (y5 * (i * 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, -2.05e+18], N[(y * N[(i * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.8e-182], N[(y1 * N[(a * N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.95e+136], N[(y * N[(y3 * N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(y5 * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if k < -2.05e18

   1. Initial program 25.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 53.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 33.4%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 35.5%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 35.5%

         \[\leadsto y \cdot \left(i \cdot \color{blue}{\left(y5 \cdot k\right)}\right) \]

   7. Simplified 35.5%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(y5 \cdot k\right)\right)} \]

   if -2.05e18 < k < 2.79999999999999993e-182

   1. Initial program 30.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 44.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 45.9%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]

      2. mul-1-neg 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \color{blue}{\left(-y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) \]

      3. *-commutative 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \left(-\color{blue}{\left(x \cdot y2 - y3 \cdot z\right) \cdot y1}\right)\right) \]

      4. unsub-neg 45.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

      5. cancel-sign-sub-inv 45.9%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(x \cdot y + \left(-t\right) \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      6. *-commutative 45.9%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} + \left(-t\right) \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      7. cancel-sign-sub-inv 45.9%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x - t \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

   6. Simplified 45.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

   7. Taylor expanded in y3 around inf 30.5%

      \[\leadsto \color{blue}{a \cdot \left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 30.5%

         \[\leadsto \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right) \cdot a} \]

      2. associate-*l* 29.5%

         \[\leadsto \color{blue}{y1 \cdot \left(\left(y3 \cdot z\right) \cdot a\right)} \]

   9. Simplified 29.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(y3 \cdot z\right) \cdot a\right)} \]

   if 2.79999999999999993e-182 < k < 1.9500000000000001e136

   1. Initial program 35.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 53.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y3 around inf 36.0%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   5. Taylor expanded in c around inf 27.2%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(c \cdot y4\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 27.2%

         \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y4 \cdot c\right)}\right) \]

   7. Simplified 27.2%

      \[\leadsto y \cdot \left(y3 \cdot \color{blue}{\left(y4 \cdot c\right)}\right) \]

   if 1.9500000000000001e136 < k

   1. Initial program 16.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 47.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around inf 53.6%

      \[\leadsto \color{blue}{y \cdot \left(y5 \cdot \left(i \cdot k - a \cdot y3\right)\right)} \]

   5. Taylor expanded in i around inf 45.5%

      \[\leadsto y \cdot \color{blue}{\left(i \cdot \left(k \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.5%

         \[\leadsto y \cdot \color{blue}{\left(\left(k \cdot y5\right) \cdot i\right)} \]

      2. *-commutative 45.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(y5 \cdot k\right)} \cdot i\right) \]

      3. associate-*l* 48.2%

         \[\leadsto y \cdot \color{blue}{\left(y5 \cdot \left(k \cdot i\right)\right)} \]

      4. *-commutative 48.2%

         \[\leadsto y \cdot \left(y5 \cdot \color{blue}{\left(i \cdot k\right)}\right) \]

   7. Simplified 48.2%

      \[\leadsto y \cdot \color{blue}{\left(y5 \cdot \left(i \cdot k\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 33.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -2.05 \cdot 10^{+18}:\\ \;\;\;\;y \cdot \left(i \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.8 \cdot 10^{-182}:\\ \;\;\;\;y1 \cdot \left(a \cdot \left(z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.95 \cdot 10^{+136}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y5 \cdot \left(i \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 37: 22.5% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;z \leq -2.1 \cdot 10^{+143} \lor \neg \left(z \leq 3.3 \cdot 10^{+128}\right):\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (or (<= z -2.1e+143) (not (<= z 3.3e+128)))
   (* a (* y3 (* z y1)))
   (* a (* x (* y b)))))

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 ((z <= -2.1e+143) || !(z <= 3.3e+128)) {
		tmp = a * (y3 * (z * y1));
	} else {
		tmp = a * (x * (y * b));
	}
	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 ((z <= (-2.1d+143)) .or. (.not. (z <= 3.3d+128))) then
        tmp = a * (y3 * (z * y1))
    else
        tmp = a * (x * (y * b))
    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 ((z <= -2.1e+143) || !(z <= 3.3e+128)) {
		tmp = a * (y3 * (z * y1));
	} else {
		tmp = a * (x * (y * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if (z <= -2.1e+143) or not (z <= 3.3e+128):
		tmp = a * (y3 * (z * y1))
	else:
		tmp = a * (x * (y * b))
	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 ((z <= -2.1e+143) || !(z <= 3.3e+128))
		tmp = Float64(a * Float64(y3 * Float64(z * y1)));
	else
		tmp = Float64(a * Float64(x * Float64(y * b)));
	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 ((z <= -2.1e+143) || ~((z <= 3.3e+128)))
		tmp = a * (y3 * (z * y1));
	else
		tmp = a * (x * (y * b));
	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[z, -2.1e+143], N[Not[LessEqual[z, 3.3e+128]], $MachinePrecision]], N[(a * N[(y3 * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if z < -2.09999999999999988e143 or 3.3000000000000001e128 < z

   1. Initial program 25.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 37.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 38.7%

      \[\leadsto \color{blue}{a \cdot \left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 38.7%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) + -1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]

      2. mul-1-neg 38.7%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \color{blue}{\left(-y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)}\right) \]

      3. *-commutative 38.7%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right) + \left(-\color{blue}{\left(x \cdot y2 - y3 \cdot z\right) \cdot y1}\right)\right) \]

      4. unsub-neg 38.7%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

      5. cancel-sign-sub-inv 38.7%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(x \cdot y + \left(-t\right) \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      6. *-commutative 38.7%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} + \left(-t\right) \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

      7. cancel-sign-sub-inv 38.7%

         \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x - t \cdot z\right)} - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right) \]

   6. Simplified 38.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - t \cdot z\right) - \left(x \cdot y2 - y3 \cdot z\right) \cdot y1\right)} \]

   7. Taylor expanded in y3 around inf 35.1%

      \[\leadsto a \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot z\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 32.5%

         \[\leadsto a \cdot \color{blue}{\left(\left(y1 \cdot y3\right) \cdot z\right)} \]

      2. *-commutative 32.5%

         \[\leadsto a \cdot \left(\color{blue}{\left(y3 \cdot y1\right)} \cdot z\right) \]

      3. associate-*l* 37.8%

         \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z\right)\right)} \]

   9. Simplified 37.8%

      \[\leadsto a \cdot \color{blue}{\left(y3 \cdot \left(y1 \cdot z\right)\right)} \]

   if -2.09999999999999988e143 < z < 3.3000000000000001e128

   1. Initial program 29.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in a around inf 38.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in x around inf 32.9%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 32.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 32.9%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 32.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

      4. *-commutative 32.9%

         \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

      5. *-commutative 32.9%

         \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

   6. Simplified 32.9%

      \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

   7. Taylor expanded in y around inf 23.7%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 23.7%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(y \cdot b\right)}\right) \]

   9. Simplified 23.7%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(y \cdot b\right)}\right) \]
3. Recombined 2 regimes into one program.

4. Final simplification 27.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -2.1 \cdot 10^{+143} \lor \neg \left(z \leq 3.3 \cdot 10^{+128}\right):\\ \;\;\;\;a \cdot \left(y3 \cdot \left(z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 38: 17.3% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(\left(x \cdot y\right) \cdot b\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* (* x y) b)))

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 a * ((x * y) * b);
}

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 = a * ((x * y) * b)
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 a * ((x * y) * b);
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * ((x * y) * b)

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(Float64(x * y) * b))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * ((x * y) * b);
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]

Derivation

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. Add Preprocessing

3. Taylor expanded in a around inf 38.5%

   \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

4. Taylor expanded in x around inf 30.3%

   \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
5. Step-by-step derivation

   1. +-commutative 30.3%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

   2. mul-1-neg 30.3%

      \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

   3. unsub-neg 30.3%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   4. *-commutative 30.3%

      \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

   5. *-commutative 30.3%

      \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

6. Simplified 30.3%

   \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

7. Taylor expanded in y around inf 18.0%

   \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]
8. Step-by-step derivation

   1. *-commutative 18.0%

      \[\leadsto a \cdot \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \]

9. Simplified 18.0%

   \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(y \cdot x\right)\right)} \]

10. Final simplification 18.0%

    \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]
11. Add Preprocessing

Alternative 39: 17.5% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(x \cdot \left(y \cdot b\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* x (* y b))))

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 a * (x * (y * b));
}

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 = a * (x * (y * b))
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 a * (x * (y * b));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * (x * (y * b))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(x * Float64(y * b)))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * (x * (y * b));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

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. Add Preprocessing

3. Taylor expanded in a around inf 38.5%

   \[\leadsto \color{blue}{a \cdot \left(\left(-1 \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) + b \cdot \left(x \cdot y - t \cdot z\right)\right) - -1 \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

4. Taylor expanded in x around inf 30.3%

   \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
5. Step-by-step derivation

   1. +-commutative 30.3%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

   2. mul-1-neg 30.3%

      \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

   3. unsub-neg 30.3%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   4. *-commutative 30.3%

      \[\leadsto a \cdot \left(x \cdot \left(\color{blue}{y \cdot b} - y1 \cdot y2\right)\right) \]

   5. *-commutative 30.3%

      \[\leadsto a \cdot \left(x \cdot \left(y \cdot b - \color{blue}{y2 \cdot y1}\right)\right) \]

6. Simplified 30.3%

   \[\leadsto a \cdot \color{blue}{\left(x \cdot \left(y \cdot b - y2 \cdot y1\right)\right)} \]

7. Taylor expanded in y around inf 19.5%

   \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]
8. Step-by-step derivation

   1. *-commutative 19.5%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(y \cdot b\right)}\right) \]

9. Simplified 19.5%

   \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(y \cdot b\right)}\right) \]

10. Final simplification 19.5%

    \[\leadsto a \cdot \left(x \cdot \left(y \cdot b\right)\right) \]
11. Add Preprocessing

Developer target: 27.6% accurate, 0.7× 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 2024036 
(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)))))