Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 29.7% → 38.7%

Time: 2.1min

Alternatives: 46

Speedup: 2.6×

• 88.4% 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: 29.7% 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: 38.7% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := z \cdot k - x \cdot j\\ t_3 := x \cdot y - z \cdot t\\ t_4 := y1 \cdot y4 - y0 \cdot y5\\ t_5 := c \cdot y0 - a \cdot y1\\ t_6 := x \cdot y2 - z \cdot y3\\ t_7 := k \cdot y2 - j \cdot y3\\ t_8 := t\_7 \cdot t\_4\\ t_9 := y5 \cdot t\_7\\ t_10 := t\_8 + b \cdot \left(\left(a \cdot t\_3 + y4 \cdot t\_1\right) + y0 \cdot t\_2\right)\\ t_11 := y \cdot y3 - t \cdot y2\\ \mathbf{if}\;x \leq -6.5 \cdot 10^{+211}:\\ \;\;\;\;t\_8 + x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t\_5\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -2.9 \cdot 10^{+27}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;x \leq -65000000000000:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;x \leq -4.25 \cdot 10^{-42}:\\ \;\;\;\;t\_10\\ \mathbf{elif}\;x \leq -6.05 \cdot 10^{-92}:\\ \;\;\;\;\left(t \cdot b\right) \cdot \left(j \cdot y4 - z \cdot a\right)\\ \mathbf{elif}\;x \leq -5 \cdot 10^{-240}:\\ \;\;\;\;t\_10\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-302}:\\ \;\;\;\;y0 \cdot \left(b \cdot t\_2 - t\_9\right)\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{-90}:\\ \;\;\;\;t\_8 + c \cdot \left(\left(y0 \cdot t\_6 - i \cdot t\_3\right) + y4 \cdot t\_11\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-32}:\\ \;\;\;\;t\_8 - y1 \cdot \left(a \cdot t\_6 + i \cdot t\_2\right)\\ \mathbf{elif}\;x \leq 1.8 \cdot 10^{+51}:\\ \;\;\;\;t\_10\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{+77}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y5 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.6 \cdot 10^{+121}:\\ \;\;\;\;t\_8 + y4 \cdot \left(b \cdot t\_1 + c \cdot t\_11\right)\\ \mathbf{elif}\;x \leq 4 \cdot 10^{+197}:\\ \;\;\;\;y2 \cdot \left(k \cdot t\_4 + x \cdot t\_5\right)\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+271}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t\_6 - t\_9\right) - b \cdot \left(x \cdot j - z \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 (- (* t j) (* y k)))
        (t_2 (- (* z k) (* x j)))
        (t_3 (- (* x y) (* z t)))
        (t_4 (- (* y1 y4) (* y0 y5)))
        (t_5 (- (* c y0) (* a y1)))
        (t_6 (- (* x y2) (* z y3)))
        (t_7 (- (* k y2) (* j y3)))
        (t_8 (* t_7 t_4))
        (t_9 (* y5 t_7))
        (t_10 (+ t_8 (* b (+ (+ (* a t_3) (* y4 t_1)) (* y0 t_2)))))
        (t_11 (- (* y y3) (* t y2))))
   (if (<= x -6.5e+211)
     (+
      t_8
      (*
       x
       (+
        (+ (* y (- (* a b) (* c i))) (* y2 t_5))
        (* j (- (* i y1) (* b y0))))))
     (if (<= x -2.9e+27)
       (*
        y0
        (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) y5))))))
       (if (<= x -65000000000000.0)
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (+ (* z (- (* a y1) (* c y0))) (* j (- (* y0 y5) (* y1 y4))))))
         (if (<= x -4.25e-42)
           t_10
           (if (<= x -6.05e-92)
             (* (* t b) (- (* j y4) (* z a)))
             (if (<= x -5e-240)
               t_10
               (if (<= x -3.1e-302)
                 (* y0 (- (* b t_2) t_9))
                 (if (<= x 3.1e-90)
                   (+ t_8 (* c (+ (- (* y0 t_6) (* i t_3)) (* y4 t_11))))
                   (if (<= x 1.15e-32)
                     (- t_8 (* y1 (+ (* a t_6) (* i t_2))))
                     (if (<= x 1.8e+51)
                       t_10
                       (if (<= x 2.9e+77)
                         (* a (* y (* y5 (- y3))))
                         (if (<= x 1.6e+121)
                           (+ t_8 (* y4 (+ (* b t_1) (* c t_11))))
                           (if (<= x 4e+197)
                             (* y2 (+ (* k t_4) (* x t_5)))
                             (if (<= x 1.05e+271)
                               (* c (* x (- (* y0 y2) (* y i))))
                               (*
                                y0
                                (-
                                 (- (* c t_6) t_9)
                                 (* b (- (* x j) (* z 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 = (t * j) - (y * k);
	double t_2 = (z * k) - (x * j);
	double t_3 = (x * y) - (z * t);
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = (c * y0) - (a * y1);
	double t_6 = (x * y2) - (z * y3);
	double t_7 = (k * y2) - (j * y3);
	double t_8 = t_7 * t_4;
	double t_9 = y5 * t_7;
	double t_10 = t_8 + (b * (((a * t_3) + (y4 * t_1)) + (y0 * t_2)));
	double t_11 = (y * y3) - (t * y2);
	double tmp;
	if (x <= -6.5e+211) {
		tmp = t_8 + (x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + (j * ((i * y1) - (b * y0)))));
	} else if (x <= -2.9e+27) {
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	} else if (x <= -65000000000000.0) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))));
	} else if (x <= -4.25e-42) {
		tmp = t_10;
	} else if (x <= -6.05e-92) {
		tmp = (t * b) * ((j * y4) - (z * a));
	} else if (x <= -5e-240) {
		tmp = t_10;
	} else if (x <= -3.1e-302) {
		tmp = y0 * ((b * t_2) - t_9);
	} else if (x <= 3.1e-90) {
		tmp = t_8 + (c * (((y0 * t_6) - (i * t_3)) + (y4 * t_11)));
	} else if (x <= 1.15e-32) {
		tmp = t_8 - (y1 * ((a * t_6) + (i * t_2)));
	} else if (x <= 1.8e+51) {
		tmp = t_10;
	} else if (x <= 2.9e+77) {
		tmp = a * (y * (y5 * -y3));
	} else if (x <= 1.6e+121) {
		tmp = t_8 + (y4 * ((b * t_1) + (c * t_11)));
	} else if (x <= 4e+197) {
		tmp = y2 * ((k * t_4) + (x * t_5));
	} else if (x <= 1.05e+271) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else {
		tmp = y0 * (((c * t_6) - t_9) - (b * ((x * j) - (z * 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) :: t_10
    real(8) :: t_11
    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 = (t * j) - (y * k)
    t_2 = (z * k) - (x * j)
    t_3 = (x * y) - (z * t)
    t_4 = (y1 * y4) - (y0 * y5)
    t_5 = (c * y0) - (a * y1)
    t_6 = (x * y2) - (z * y3)
    t_7 = (k * y2) - (j * y3)
    t_8 = t_7 * t_4
    t_9 = y5 * t_7
    t_10 = t_8 + (b * (((a * t_3) + (y4 * t_1)) + (y0 * t_2)))
    t_11 = (y * y3) - (t * y2)
    if (x <= (-6.5d+211)) then
        tmp = t_8 + (x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + (j * ((i * y1) - (b * y0)))))
    else if (x <= (-2.9d+27)) then
        tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
    else if (x <= (-65000000000000.0d0)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))))
    else if (x <= (-4.25d-42)) then
        tmp = t_10
    else if (x <= (-6.05d-92)) then
        tmp = (t * b) * ((j * y4) - (z * a))
    else if (x <= (-5d-240)) then
        tmp = t_10
    else if (x <= (-3.1d-302)) then
        tmp = y0 * ((b * t_2) - t_9)
    else if (x <= 3.1d-90) then
        tmp = t_8 + (c * (((y0 * t_6) - (i * t_3)) + (y4 * t_11)))
    else if (x <= 1.15d-32) then
        tmp = t_8 - (y1 * ((a * t_6) + (i * t_2)))
    else if (x <= 1.8d+51) then
        tmp = t_10
    else if (x <= 2.9d+77) then
        tmp = a * (y * (y5 * -y3))
    else if (x <= 1.6d+121) then
        tmp = t_8 + (y4 * ((b * t_1) + (c * t_11)))
    else if (x <= 4d+197) then
        tmp = y2 * ((k * t_4) + (x * t_5))
    else if (x <= 1.05d+271) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else
        tmp = y0 * (((c * t_6) - t_9) - (b * ((x * j) - (z * 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 = (t * j) - (y * k);
	double t_2 = (z * k) - (x * j);
	double t_3 = (x * y) - (z * t);
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = (c * y0) - (a * y1);
	double t_6 = (x * y2) - (z * y3);
	double t_7 = (k * y2) - (j * y3);
	double t_8 = t_7 * t_4;
	double t_9 = y5 * t_7;
	double t_10 = t_8 + (b * (((a * t_3) + (y4 * t_1)) + (y0 * t_2)));
	double t_11 = (y * y3) - (t * y2);
	double tmp;
	if (x <= -6.5e+211) {
		tmp = t_8 + (x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + (j * ((i * y1) - (b * y0)))));
	} else if (x <= -2.9e+27) {
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	} else if (x <= -65000000000000.0) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))));
	} else if (x <= -4.25e-42) {
		tmp = t_10;
	} else if (x <= -6.05e-92) {
		tmp = (t * b) * ((j * y4) - (z * a));
	} else if (x <= -5e-240) {
		tmp = t_10;
	} else if (x <= -3.1e-302) {
		tmp = y0 * ((b * t_2) - t_9);
	} else if (x <= 3.1e-90) {
		tmp = t_8 + (c * (((y0 * t_6) - (i * t_3)) + (y4 * t_11)));
	} else if (x <= 1.15e-32) {
		tmp = t_8 - (y1 * ((a * t_6) + (i * t_2)));
	} else if (x <= 1.8e+51) {
		tmp = t_10;
	} else if (x <= 2.9e+77) {
		tmp = a * (y * (y5 * -y3));
	} else if (x <= 1.6e+121) {
		tmp = t_8 + (y4 * ((b * t_1) + (c * t_11)));
	} else if (x <= 4e+197) {
		tmp = y2 * ((k * t_4) + (x * t_5));
	} else if (x <= 1.05e+271) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else {
		tmp = y0 * (((c * t_6) - t_9) - (b * ((x * j) - (z * k))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (t * j) - (y * k)
	t_2 = (z * k) - (x * j)
	t_3 = (x * y) - (z * t)
	t_4 = (y1 * y4) - (y0 * y5)
	t_5 = (c * y0) - (a * y1)
	t_6 = (x * y2) - (z * y3)
	t_7 = (k * y2) - (j * y3)
	t_8 = t_7 * t_4
	t_9 = y5 * t_7
	t_10 = t_8 + (b * (((a * t_3) + (y4 * t_1)) + (y0 * t_2)))
	t_11 = (y * y3) - (t * y2)
	tmp = 0
	if x <= -6.5e+211:
		tmp = t_8 + (x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + (j * ((i * y1) - (b * y0)))))
	elif x <= -2.9e+27:
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
	elif x <= -65000000000000.0:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))))
	elif x <= -4.25e-42:
		tmp = t_10
	elif x <= -6.05e-92:
		tmp = (t * b) * ((j * y4) - (z * a))
	elif x <= -5e-240:
		tmp = t_10
	elif x <= -3.1e-302:
		tmp = y0 * ((b * t_2) - t_9)
	elif x <= 3.1e-90:
		tmp = t_8 + (c * (((y0 * t_6) - (i * t_3)) + (y4 * t_11)))
	elif x <= 1.15e-32:
		tmp = t_8 - (y1 * ((a * t_6) + (i * t_2)))
	elif x <= 1.8e+51:
		tmp = t_10
	elif x <= 2.9e+77:
		tmp = a * (y * (y5 * -y3))
	elif x <= 1.6e+121:
		tmp = t_8 + (y4 * ((b * t_1) + (c * t_11)))
	elif x <= 4e+197:
		tmp = y2 * ((k * t_4) + (x * t_5))
	elif x <= 1.05e+271:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	else:
		tmp = y0 * (((c * t_6) - t_9) - (b * ((x * j) - (z * 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(Float64(t * j) - Float64(y * k))
	t_2 = Float64(Float64(z * k) - Float64(x * j))
	t_3 = Float64(Float64(x * y) - Float64(z * t))
	t_4 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_5 = Float64(Float64(c * y0) - Float64(a * y1))
	t_6 = Float64(Float64(x * y2) - Float64(z * y3))
	t_7 = Float64(Float64(k * y2) - Float64(j * y3))
	t_8 = Float64(t_7 * t_4)
	t_9 = Float64(y5 * t_7)
	t_10 = Float64(t_8 + Float64(b * Float64(Float64(Float64(a * t_3) + Float64(y4 * t_1)) + Float64(y0 * t_2))))
	t_11 = Float64(Float64(y * y3) - Float64(t * y2))
	tmp = 0.0
	if (x <= -6.5e+211)
		tmp = Float64(t_8 + Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_5)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0))))));
	elseif (x <= -2.9e+27)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / y5))))));
	elseif (x <= -65000000000000.0)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))))));
	elseif (x <= -4.25e-42)
		tmp = t_10;
	elseif (x <= -6.05e-92)
		tmp = Float64(Float64(t * b) * Float64(Float64(j * y4) - Float64(z * a)));
	elseif (x <= -5e-240)
		tmp = t_10;
	elseif (x <= -3.1e-302)
		tmp = Float64(y0 * Float64(Float64(b * t_2) - t_9));
	elseif (x <= 3.1e-90)
		tmp = Float64(t_8 + Float64(c * Float64(Float64(Float64(y0 * t_6) - Float64(i * t_3)) + Float64(y4 * t_11))));
	elseif (x <= 1.15e-32)
		tmp = Float64(t_8 - Float64(y1 * Float64(Float64(a * t_6) + Float64(i * t_2))));
	elseif (x <= 1.8e+51)
		tmp = t_10;
	elseif (x <= 2.9e+77)
		tmp = Float64(a * Float64(y * Float64(y5 * Float64(-y3))));
	elseif (x <= 1.6e+121)
		tmp = Float64(t_8 + Float64(y4 * Float64(Float64(b * t_1) + Float64(c * t_11))));
	elseif (x <= 4e+197)
		tmp = Float64(y2 * Float64(Float64(k * t_4) + Float64(x * t_5)));
	elseif (x <= 1.05e+271)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	else
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_6) - t_9) - Float64(b * Float64(Float64(x * j) - Float64(z * 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 = (t * j) - (y * k);
	t_2 = (z * k) - (x * j);
	t_3 = (x * y) - (z * t);
	t_4 = (y1 * y4) - (y0 * y5);
	t_5 = (c * y0) - (a * y1);
	t_6 = (x * y2) - (z * y3);
	t_7 = (k * y2) - (j * y3);
	t_8 = t_7 * t_4;
	t_9 = y5 * t_7;
	t_10 = t_8 + (b * (((a * t_3) + (y4 * t_1)) + (y0 * t_2)));
	t_11 = (y * y3) - (t * y2);
	tmp = 0.0;
	if (x <= -6.5e+211)
		tmp = t_8 + (x * (((y * ((a * b) - (c * i))) + (y2 * t_5)) + (j * ((i * y1) - (b * y0)))));
	elseif (x <= -2.9e+27)
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	elseif (x <= -65000000000000.0)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))));
	elseif (x <= -4.25e-42)
		tmp = t_10;
	elseif (x <= -6.05e-92)
		tmp = (t * b) * ((j * y4) - (z * a));
	elseif (x <= -5e-240)
		tmp = t_10;
	elseif (x <= -3.1e-302)
		tmp = y0 * ((b * t_2) - t_9);
	elseif (x <= 3.1e-90)
		tmp = t_8 + (c * (((y0 * t_6) - (i * t_3)) + (y4 * t_11)));
	elseif (x <= 1.15e-32)
		tmp = t_8 - (y1 * ((a * t_6) + (i * t_2)));
	elseif (x <= 1.8e+51)
		tmp = t_10;
	elseif (x <= 2.9e+77)
		tmp = a * (y * (y5 * -y3));
	elseif (x <= 1.6e+121)
		tmp = t_8 + (y4 * ((b * t_1) + (c * t_11)));
	elseif (x <= 4e+197)
		tmp = y2 * ((k * t_4) + (x * t_5));
	elseif (x <= 1.05e+271)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	else
		tmp = y0 * (((c * t_6) - t_9) - (b * ((x * j) - (z * 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[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * t$95$4), $MachinePrecision]}, Block[{t$95$9 = N[(y5 * t$95$7), $MachinePrecision]}, Block[{t$95$10 = N[(t$95$8 + N[(b * N[(N[(N[(a * t$95$3), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -6.5e+211], N[(t$95$8 + N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.9e+27], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -65000000000000.0], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -4.25e-42], t$95$10, If[LessEqual[x, -6.05e-92], N[(N[(t * b), $MachinePrecision] * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -5e-240], t$95$10, If[LessEqual[x, -3.1e-302], N[(y0 * N[(N[(b * t$95$2), $MachinePrecision] - t$95$9), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.1e-90], N[(t$95$8 + N[(c * N[(N[(N[(y0 * t$95$6), $MachinePrecision] - N[(i * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$11), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.15e-32], N[(t$95$8 - N[(y1 * N[(N[(a * t$95$6), $MachinePrecision] + N[(i * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.8e+51], t$95$10, If[LessEqual[x, 2.9e+77], N[(a * N[(y * N[(y5 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.6e+121], N[(t$95$8 + N[(y4 * N[(N[(b * t$95$1), $MachinePrecision] + N[(c * t$95$11), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4e+197], N[(y2 * N[(N[(k * t$95$4), $MachinePrecision] + N[(x * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.05e+271], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(N[(N[(c * t$95$6), $MachinePrecision] - t$95$9), $MachinePrecision] - N[(b * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if x < -6.4999999999999996e211

   1. Initial program 16.1%

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

   3. Taylor expanded in x around inf 67.6%

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

   if -6.4999999999999996e211 < x < -2.9000000000000001e27

   1. Initial program 18.6%

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

   3. Taylor expanded in x around inf 53.2%

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

   4. Taylor expanded in y0 around inf 63.8%

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

   5. Taylor expanded in y5 around -inf 76.4%

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

      1. associate-*r* 76.4%

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

      2. neg-mul-1 76.4%

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

      3. +-commutative 76.4%

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

      4. mul-1-neg 76.4%

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

      5. unsub-neg 76.4%

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

      6. associate-/l* 76.4%

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

      7. *-commutative 76.4%

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

      8. *-commutative 76.4%

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

   7. Simplified 76.4%

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

   if -2.9000000000000001e27 < x < -6.5e13

   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 y3 around -inf 85.8%

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

   if -6.5e13 < x < -4.2499999999999998e-42 or -6.05000000000000007e-92 < x < -5.0000000000000004e-240 or 1.15e-32 < x < 1.80000000000000005e51

   1. Initial program 45.3%

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

   3. Taylor expanded in b around inf 58.8%

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

   if -4.2499999999999998e-42 < x < -6.05000000000000007e-92

   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 b around inf 18.7%

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

   4. Taylor expanded in t around inf 72.9%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 72.9%

         \[\leadsto \color{blue}{\left(b \cdot t\right) \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)} \]

      2. +-commutative 72.9%

         \[\leadsto \left(b \cdot t\right) \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)} \]

      3. mul-1-neg 72.9%

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

      4. unsub-neg 72.9%

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

   6. Simplified 72.9%

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

   if -5.0000000000000004e-240 < x < -3.09999999999999983e-302

   1. Initial program 15.7%

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

   3. Taylor expanded in b around inf 51.6%

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

   4. Taylor expanded in y0 around inf 74.9%

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

   if -3.09999999999999983e-302 < x < 3.1000000000000001e-90

   1. Initial program 48.9%

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

   3. Taylor expanded in c around inf 63.3%

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

      1. +-commutative 63.3%

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

      2. mul-1-neg 63.3%

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

      3. unsub-neg 63.3%

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

      4. *-commutative 63.3%

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

      5. *-commutative 63.3%

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

      6. *-commutative 63.3%

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

      7. *-commutative 63.3%

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

   5. Simplified 63.3%

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

   if 3.1000000000000001e-90 < x < 1.15e-32

   1. Initial program 15.2%

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

   3. Taylor expanded in y1 around -inf 73.1%

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

      1. associate-*r* 73.1%

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

      2. neg-mul-1 73.1%

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

      3. *-commutative 73.1%

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

      4. *-commutative 73.1%

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

      5. *-commutative 73.1%

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

   5. Simplified 73.1%

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

   if 1.80000000000000005e51 < x < 2.9000000000000002e77

   1. Initial program 0.6%

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

   3. Taylor expanded in y around inf 14.9%

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

   4. Taylor expanded in a around inf 58.3%

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

   5. Taylor expanded in b around 0 72.5%

      \[\leadsto a \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot y5\right)\right)}\right) \]
   6. Step-by-step derivation

      1. neg-mul-1 72.5%

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

      2. distribute-rgt-neg-in 72.5%

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

   7. Simplified 72.5%

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

   if 2.9000000000000002e77 < x < 1.6e121

   1. Initial program 16.7%

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

   3. Taylor expanded in y4 around inf 83.3%

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

      1. *-commutative 83.3%

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

      2. *-commutative 83.3%

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

   5. Simplified 83.3%

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

   if 1.6e121 < x < 3.9999999999999998e197

   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 x around inf 52.9%

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

   4. Taylor expanded in y2 around inf 65.1%

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

   if 3.9999999999999998e197 < x < 1.05e271

   1. Initial program 6.3%

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

   3. Taylor expanded in x around inf 41.2%

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

   4. Taylor expanded in c around inf 82.8%

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

   if 1.05e271 < x

   1. Initial program 21.4%

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

   3. Taylor expanded in y0 around inf 85.7%

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

      1. +-commutative 85.7%

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

      2. mul-1-neg 85.7%

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

      3. unsub-neg 85.7%

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

      4. *-commutative 85.7%

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

      5. *-commutative 85.7%

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

      6. *-commutative 85.7%

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

      7. *-commutative 85.7%

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

   5. Simplified 85.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 70.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -6.5 \cdot 10^{+211}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + 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}\;x \leq -2.9 \cdot 10^{+27}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;x \leq -65000000000000:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;x \leq -4.25 \cdot 10^{-42}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -6.05 \cdot 10^{-92}:\\ \;\;\;\;\left(t \cdot b\right) \cdot \left(j \cdot y4 - z \cdot a\right)\\ \mathbf{elif}\;x \leq -5 \cdot 10^{-240}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -3.1 \cdot 10^{-302}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k - x \cdot j\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 3.1 \cdot 10^{-90}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) - i \cdot \left(x \cdot y - z \cdot t\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-32}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 1.8 \cdot 10^{+51}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{+77}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y5 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.6 \cdot 10^{+121}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 4 \cdot 10^{+197}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq 1.05 \cdot 10^{+271}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 2: 56.1% accurate, 0.5× speedup

Math

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

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)) (- (* x y) (* z t)))
              (* (- (* b y0) (* i y1)) (- (* z k) (* x j))))
             (* (- (* 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_1 INFINITY)
     t_1
     (*
      y0
      (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) 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)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((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_1 <= ((double) INFINITY)) {
		tmp = t_1;
	} else {
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / 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)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((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_1 <= Double.POSITIVE_INFINITY) {
		tmp = t_1;
	} else {
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / 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)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((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_1 <= math.inf:
		tmp = t_1
	else:
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / 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(Float64(Float64(Float64(Float64(Float64(Float64(a * b) - Float64(c * i)) * Float64(Float64(x * y) - Float64(z * t))) + Float64(Float64(Float64(b * y0) - Float64(i * y1)) * Float64(Float64(z * k) - Float64(x * j)))) + Float64(Float64(Float64(x * y2) - Float64(z * y3)) * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(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_1 <= Inf)
		tmp = t_1;
	else
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / 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)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (((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_1 <= Inf)
		tmp = t_1;
	else
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / 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[(N[(N[(N[(N[(N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(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$1, Infinity], t$95$1, N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $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 86.9%

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

   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 x around inf 34.5%

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

   4. Taylor expanded in y0 around inf 43.0%

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

   5. Taylor expanded in y5 around -inf 48.5%

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

      1. associate-*r* 48.5%

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

      2. neg-mul-1 48.5%

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

      3. +-commutative 48.5%

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

      4. mul-1-neg 48.5%

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

      5. unsub-neg 48.5%

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

      6. associate-/l* 49.6%

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

      7. *-commutative 49.6%

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

      8. *-commutative 49.6%

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

   7. Simplified 49.6%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 61.4%

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

Alternative 3: 36.6% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := x \cdot y - z \cdot t\\ t_4 := z \cdot k - x \cdot j\\ t_5 := b \cdot y4 - i \cdot y5\\ t_6 := k \cdot y2 - j \cdot y3\\ t_7 := t\_6 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ t_8 := t \cdot y2 - y \cdot y3\\ t_9 := t\_7 + \left(t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot t\_5\right) + t\_8 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;y2 \leq -2.5 \cdot 10^{+107}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -0.00016:\\ \;\;\;\;j \cdot \left(\left(t \cdot t\_5 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -2 \cdot 10^{-92}:\\ \;\;\;\;t\_7 - y1 \cdot \left(a \cdot t\_2 + i \cdot t\_4\right)\\ \mathbf{elif}\;y2 \leq -3.5 \cdot 10^{-203}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 2.8 \cdot 10^{-283}:\\ \;\;\;\;t\_7 + a \cdot \left(\left(b \cdot t\_3 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right) + y5 \cdot t\_8\right)\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{-158}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 3.2 \cdot 10^{-92}:\\ \;\;\;\;t\_7 + b \cdot \left(\left(a \cdot t\_3 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot t\_4\right)\\ \mathbf{elif}\;y2 \leq 64000:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t\_2 - y5 \cdot t\_6\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 9.2 \cdot 10^{+79}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;y2 \leq 5.5 \cdot 10^{+120}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 2.45 \cdot 10^{+244}:\\ \;\;\;\;t\_9\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y0
          (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) y5)))))))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* x y) (* z t)))
        (t_4 (- (* z k) (* x j)))
        (t_5 (- (* b y4) (* i y5)))
        (t_6 (- (* k y2) (* j y3)))
        (t_7 (* t_6 (- (* y1 y4) (* y0 y5))))
        (t_8 (- (* t y2) (* y y3)))
        (t_9
         (+
          t_7
          (+
           (* t (+ (* z (- (* c i) (* a b))) (* j t_5)))
           (* t_8 (- (* a y5) (* c y4)))))))
   (if (<= y2 -2.5e+107)
     t_1
     (if (<= y2 -0.00016)
       (*
        j
        (+
         (+ (* t t_5) (* y3 (- (* y0 y5) (* y1 y4))))
         (* x (- (* i y1) (* b y0)))))
       (if (<= y2 -2e-92)
         (- t_7 (* y1 (+ (* a t_2) (* i t_4))))
         (if (<= y2 -3.5e-203)
           t_1
           (if (<= y2 2.8e-283)
             (+
              t_7
              (* a (+ (+ (* b t_3) (* y1 (- (* z y3) (* x y2)))) (* y5 t_8))))
             (if (<= y2 1.7e-158)
               t_1
               (if (<= y2 3.2e-92)
                 (+
                  t_7
                  (*
                   b
                   (+ (+ (* a t_3) (* y4 (- (* t j) (* y k)))) (* y0 t_4))))
                 (if (<= y2 64000.0)
                   (*
                    y0
                    (- (- (* c t_2) (* y5 t_6)) (* b (- (* x j) (* z k)))))
                   (if (<= y2 9.2e+79)
                     t_9
                     (if (<= y2 5.5e+120)
                       t_1
                       (if (<= y2 2.45e+244)
                         t_9
                         (* y0 (* (* y2 y5) (- 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 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (x * y) - (z * t);
	double t_4 = (z * k) - (x * j);
	double t_5 = (b * y4) - (i * y5);
	double t_6 = (k * y2) - (j * y3);
	double t_7 = t_6 * ((y1 * y4) - (y0 * y5));
	double t_8 = (t * y2) - (y * y3);
	double t_9 = t_7 + ((t * ((z * ((c * i) - (a * b))) + (j * t_5))) + (t_8 * ((a * y5) - (c * y4))));
	double tmp;
	if (y2 <= -2.5e+107) {
		tmp = t_1;
	} else if (y2 <= -0.00016) {
		tmp = j * (((t * t_5) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (y2 <= -2e-92) {
		tmp = t_7 - (y1 * ((a * t_2) + (i * t_4)));
	} else if (y2 <= -3.5e-203) {
		tmp = t_1;
	} else if (y2 <= 2.8e-283) {
		tmp = t_7 + (a * (((b * t_3) + (y1 * ((z * y3) - (x * y2)))) + (y5 * t_8)));
	} else if (y2 <= 1.7e-158) {
		tmp = t_1;
	} else if (y2 <= 3.2e-92) {
		tmp = t_7 + (b * (((a * t_3) + (y4 * ((t * j) - (y * k)))) + (y0 * t_4)));
	} else if (y2 <= 64000.0) {
		tmp = y0 * (((c * t_2) - (y5 * t_6)) - (b * ((x * j) - (z * k))));
	} else if (y2 <= 9.2e+79) {
		tmp = t_9;
	} else if (y2 <= 5.5e+120) {
		tmp = t_1;
	} else if (y2 <= 2.45e+244) {
		tmp = t_9;
	} else {
		tmp = y0 * ((y2 * y5) * -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) :: 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 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
    t_2 = (x * y2) - (z * y3)
    t_3 = (x * y) - (z * t)
    t_4 = (z * k) - (x * j)
    t_5 = (b * y4) - (i * y5)
    t_6 = (k * y2) - (j * y3)
    t_7 = t_6 * ((y1 * y4) - (y0 * y5))
    t_8 = (t * y2) - (y * y3)
    t_9 = t_7 + ((t * ((z * ((c * i) - (a * b))) + (j * t_5))) + (t_8 * ((a * y5) - (c * y4))))
    if (y2 <= (-2.5d+107)) then
        tmp = t_1
    else if (y2 <= (-0.00016d0)) then
        tmp = j * (((t * t_5) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    else if (y2 <= (-2d-92)) then
        tmp = t_7 - (y1 * ((a * t_2) + (i * t_4)))
    else if (y2 <= (-3.5d-203)) then
        tmp = t_1
    else if (y2 <= 2.8d-283) then
        tmp = t_7 + (a * (((b * t_3) + (y1 * ((z * y3) - (x * y2)))) + (y5 * t_8)))
    else if (y2 <= 1.7d-158) then
        tmp = t_1
    else if (y2 <= 3.2d-92) then
        tmp = t_7 + (b * (((a * t_3) + (y4 * ((t * j) - (y * k)))) + (y0 * t_4)))
    else if (y2 <= 64000.0d0) then
        tmp = y0 * (((c * t_2) - (y5 * t_6)) - (b * ((x * j) - (z * k))))
    else if (y2 <= 9.2d+79) then
        tmp = t_9
    else if (y2 <= 5.5d+120) then
        tmp = t_1
    else if (y2 <= 2.45d+244) then
        tmp = t_9
    else
        tmp = y0 * ((y2 * y5) * -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 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (x * y) - (z * t);
	double t_4 = (z * k) - (x * j);
	double t_5 = (b * y4) - (i * y5);
	double t_6 = (k * y2) - (j * y3);
	double t_7 = t_6 * ((y1 * y4) - (y0 * y5));
	double t_8 = (t * y2) - (y * y3);
	double t_9 = t_7 + ((t * ((z * ((c * i) - (a * b))) + (j * t_5))) + (t_8 * ((a * y5) - (c * y4))));
	double tmp;
	if (y2 <= -2.5e+107) {
		tmp = t_1;
	} else if (y2 <= -0.00016) {
		tmp = j * (((t * t_5) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (y2 <= -2e-92) {
		tmp = t_7 - (y1 * ((a * t_2) + (i * t_4)));
	} else if (y2 <= -3.5e-203) {
		tmp = t_1;
	} else if (y2 <= 2.8e-283) {
		tmp = t_7 + (a * (((b * t_3) + (y1 * ((z * y3) - (x * y2)))) + (y5 * t_8)));
	} else if (y2 <= 1.7e-158) {
		tmp = t_1;
	} else if (y2 <= 3.2e-92) {
		tmp = t_7 + (b * (((a * t_3) + (y4 * ((t * j) - (y * k)))) + (y0 * t_4)));
	} else if (y2 <= 64000.0) {
		tmp = y0 * (((c * t_2) - (y5 * t_6)) - (b * ((x * j) - (z * k))));
	} else if (y2 <= 9.2e+79) {
		tmp = t_9;
	} else if (y2 <= 5.5e+120) {
		tmp = t_1;
	} else if (y2 <= 2.45e+244) {
		tmp = t_9;
	} else {
		tmp = y0 * ((y2 * y5) * -k);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
	t_2 = (x * y2) - (z * y3)
	t_3 = (x * y) - (z * t)
	t_4 = (z * k) - (x * j)
	t_5 = (b * y4) - (i * y5)
	t_6 = (k * y2) - (j * y3)
	t_7 = t_6 * ((y1 * y4) - (y0 * y5))
	t_8 = (t * y2) - (y * y3)
	t_9 = t_7 + ((t * ((z * ((c * i) - (a * b))) + (j * t_5))) + (t_8 * ((a * y5) - (c * y4))))
	tmp = 0
	if y2 <= -2.5e+107:
		tmp = t_1
	elif y2 <= -0.00016:
		tmp = j * (((t * t_5) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	elif y2 <= -2e-92:
		tmp = t_7 - (y1 * ((a * t_2) + (i * t_4)))
	elif y2 <= -3.5e-203:
		tmp = t_1
	elif y2 <= 2.8e-283:
		tmp = t_7 + (a * (((b * t_3) + (y1 * ((z * y3) - (x * y2)))) + (y5 * t_8)))
	elif y2 <= 1.7e-158:
		tmp = t_1
	elif y2 <= 3.2e-92:
		tmp = t_7 + (b * (((a * t_3) + (y4 * ((t * j) - (y * k)))) + (y0 * t_4)))
	elif y2 <= 64000.0:
		tmp = y0 * (((c * t_2) - (y5 * t_6)) - (b * ((x * j) - (z * k))))
	elif y2 <= 9.2e+79:
		tmp = t_9
	elif y2 <= 5.5e+120:
		tmp = t_1
	elif y2 <= 2.45e+244:
		tmp = t_9
	else:
		tmp = y0 * ((y2 * y5) * -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(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / y5))))))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(x * y) - Float64(z * t))
	t_4 = Float64(Float64(z * k) - Float64(x * j))
	t_5 = Float64(Float64(b * y4) - Float64(i * y5))
	t_6 = Float64(Float64(k * y2) - Float64(j * y3))
	t_7 = Float64(t_6 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))
	t_8 = Float64(Float64(t * y2) - Float64(y * y3))
	t_9 = Float64(t_7 + Float64(Float64(t * Float64(Float64(z * Float64(Float64(c * i) - Float64(a * b))) + Float64(j * t_5))) + Float64(t_8 * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (y2 <= -2.5e+107)
		tmp = t_1;
	elseif (y2 <= -0.00016)
		tmp = Float64(j * Float64(Float64(Float64(t * t_5) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y2 <= -2e-92)
		tmp = Float64(t_7 - Float64(y1 * Float64(Float64(a * t_2) + Float64(i * t_4))));
	elseif (y2 <= -3.5e-203)
		tmp = t_1;
	elseif (y2 <= 2.8e-283)
		tmp = Float64(t_7 + Float64(a * Float64(Float64(Float64(b * t_3) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))) + Float64(y5 * t_8))));
	elseif (y2 <= 1.7e-158)
		tmp = t_1;
	elseif (y2 <= 3.2e-92)
		tmp = Float64(t_7 + Float64(b * Float64(Float64(Float64(a * t_3) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * t_4))));
	elseif (y2 <= 64000.0)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_2) - Float64(y5 * t_6)) - Float64(b * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (y2 <= 9.2e+79)
		tmp = t_9;
	elseif (y2 <= 5.5e+120)
		tmp = t_1;
	elseif (y2 <= 2.45e+244)
		tmp = t_9;
	else
		tmp = Float64(y0 * Float64(Float64(y2 * y5) * Float64(-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 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	t_2 = (x * y2) - (z * y3);
	t_3 = (x * y) - (z * t);
	t_4 = (z * k) - (x * j);
	t_5 = (b * y4) - (i * y5);
	t_6 = (k * y2) - (j * y3);
	t_7 = t_6 * ((y1 * y4) - (y0 * y5));
	t_8 = (t * y2) - (y * y3);
	t_9 = t_7 + ((t * ((z * ((c * i) - (a * b))) + (j * t_5))) + (t_8 * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (y2 <= -2.5e+107)
		tmp = t_1;
	elseif (y2 <= -0.00016)
		tmp = j * (((t * t_5) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	elseif (y2 <= -2e-92)
		tmp = t_7 - (y1 * ((a * t_2) + (i * t_4)));
	elseif (y2 <= -3.5e-203)
		tmp = t_1;
	elseif (y2 <= 2.8e-283)
		tmp = t_7 + (a * (((b * t_3) + (y1 * ((z * y3) - (x * y2)))) + (y5 * t_8)));
	elseif (y2 <= 1.7e-158)
		tmp = t_1;
	elseif (y2 <= 3.2e-92)
		tmp = t_7 + (b * (((a * t_3) + (y4 * ((t * j) - (y * k)))) + (y0 * t_4)));
	elseif (y2 <= 64000.0)
		tmp = y0 * (((c * t_2) - (y5 * t_6)) - (b * ((x * j) - (z * k))));
	elseif (y2 <= 9.2e+79)
		tmp = t_9;
	elseif (y2 <= 5.5e+120)
		tmp = t_1;
	elseif (y2 <= 2.45e+244)
		tmp = t_9;
	else
		tmp = y0 * ((y2 * y5) * -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[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(t$95$6 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(t$95$7 + N[(N[(t * N[(N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -2.5e+107], t$95$1, If[LessEqual[y2, -0.00016], N[(j * N[(N[(N[(t * t$95$5), $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], If[LessEqual[y2, -2e-92], N[(t$95$7 - N[(y1 * N[(N[(a * t$95$2), $MachinePrecision] + N[(i * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.5e-203], t$95$1, If[LessEqual[y2, 2.8e-283], N[(t$95$7 + N[(a * N[(N[(N[(b * t$95$3), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.7e-158], t$95$1, If[LessEqual[y2, 3.2e-92], N[(t$95$7 + 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$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 64000.0], N[(y0 * N[(N[(N[(c * t$95$2), $MachinePrecision] - N[(y5 * t$95$6), $MachinePrecision]), $MachinePrecision] - N[(b * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9.2e+79], t$95$9, If[LessEqual[y2, 5.5e+120], t$95$1, If[LessEqual[y2, 2.45e+244], t$95$9, N[(y0 * N[(N[(y2 * y5), $MachinePrecision] * (-k)), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -2.5000000000000001e107 or -1.99999999999999998e-92 < y2 < -3.5000000000000001e-203 or 2.7999999999999998e-283 < y2 < 1.7e-158 or 9.2000000000000002e79 < y2 < 5.50000000000000003e120

   1. Initial program 22.1%

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

   3. Taylor expanded in x around inf 36.5%

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

   4. Taylor expanded in y0 around inf 45.1%

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

   5. Taylor expanded in y5 around -inf 54.8%

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

      1. associate-*r* 54.8%

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

      2. neg-mul-1 54.8%

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

      3. +-commutative 54.8%

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

      4. mul-1-neg 54.8%

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

      5. unsub-neg 54.8%

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

      6. associate-/l* 57.6%

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

      7. *-commutative 57.6%

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

      8. *-commutative 57.6%

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

   7. Simplified 57.6%

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

   if -2.5000000000000001e107 < y2 < -1.60000000000000013e-4

   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 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 -1.60000000000000013e-4 < y2 < -1.99999999999999998e-92

   1. Initial program 35.3%

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

   3. Taylor expanded in y1 around -inf 88.5%

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

      1. associate-*r* 88.5%

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

      2. neg-mul-1 88.5%

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

      3. *-commutative 88.5%

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

      4. *-commutative 88.5%

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

      5. *-commutative 88.5%

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

   5. Simplified 88.5%

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

   if -3.5000000000000001e-203 < y2 < 2.7999999999999998e-283

   1. Initial program 20.3%

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

   3. Taylor expanded in a around inf 70.3%

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

      1. +-commutative 70.3%

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

      2. mul-1-neg 70.3%

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

      3. unsub-neg 70.3%

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

      4. *-commutative 70.3%

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

      5. *-commutative 70.3%

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

      6. *-commutative 70.3%

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

      7. mul-1-neg 70.3%

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

      8. *-commutative 70.3%

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

   5. Simplified 70.3%

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

   if 1.7e-158 < y2 < 3.1999999999999997e-92

   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 b around inf 66.8%

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

   if 3.1999999999999997e-92 < y2 < 64000

   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 y0 around inf 87.5%

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

      1. +-commutative 87.5%

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

      2. mul-1-neg 87.5%

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

      3. unsub-neg 87.5%

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

      4. *-commutative 87.5%

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

      5. *-commutative 87.5%

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

      6. *-commutative 87.5%

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

      7. *-commutative 87.5%

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

   5. Simplified 87.5%

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

   if 64000 < y2 < 9.2000000000000002e79 or 5.50000000000000003e120 < y2 < 2.45e244

   1. Initial program 41.0%

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

   3. Taylor expanded in t around inf 69.3%

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

   if 2.45e244 < y2

   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 x around inf 42.9%

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

   4. Taylor expanded in y0 around inf 50.2%

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

   5. Taylor expanded in k around inf 79.1%

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

      1. mul-1-neg 79.1%

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

   7. Simplified 79.1%

      \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 66.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.5 \cdot 10^{+107}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -0.00016:\\ \;\;\;\;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}\;y2 \leq -2 \cdot 10^{-92}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -3.5 \cdot 10^{-203}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.8 \cdot 10^{-283}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + 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}\;y2 \leq 1.7 \cdot 10^{-158}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 3.2 \cdot 10^{-92}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq 64000:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 9.2 \cdot 10^{+79}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \left(t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 5.5 \cdot 10^{+120}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.45 \cdot 10^{+244}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \left(t \cdot \left(z \cdot \left(c \cdot i - a \cdot b\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 4: 37.4% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot y2 - j \cdot y3\\ t_2 := t\_1 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ t_3 := 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 \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_4 := y \cdot y3 - t \cdot y2\\ t_5 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ t_6 := y4 \cdot \left(\left(y1 \cdot t\_1 + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot t\_4\right)\\ t_7 := b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ t_8 := x \cdot y - z \cdot t\\ t_9 := t\_2 + c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) - i \cdot t\_8\right) + y4 \cdot t\_4\right)\\ \mathbf{if}\;y3 \leq -6 \cdot 10^{+197}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -7.2 \cdot 10^{-70}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y3 \leq 8.6 \cdot 10^{-276}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq 3.8 \cdot 10^{-183}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y3 \leq 1.1 \cdot 10^{-142}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;y3 \leq 5.5 \cdot 10^{-121}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq 7 \cdot 10^{-104}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y3 \leq 1.7 \cdot 10^{-34}:\\ \;\;\;\;t\_2 + a \cdot \left(\left(b \cdot t\_8 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 1.36 \cdot 10^{+42}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;y3 \leq 3.2 \cdot 10^{+128}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k - x \cdot j\right) - y5 \cdot t\_1\right)\\ \mathbf{elif}\;y3 \leq 1.75 \cdot 10^{+169}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;y3 \leq 3.2 \cdot 10^{+264}:\\ \;\;\;\;t\_6\\ \mathbf{else}:\\ \;\;\;\;t\_7\\ \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 (- (* k y2) (* j y3)))
        (t_2 (* t_1 (- (* y1 y4) (* y0 y5))))
        (t_3
         (+
          t_2
          (*
           x
           (+
            (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))
            (* j (- (* i y1) (* b y0)))))))
        (t_4 (- (* y y3) (* t y2)))
        (t_5
         (*
          y0
          (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) y5)))))))
        (t_6 (* y4 (+ (+ (* y1 t_1) (* b (- (* t j) (* y k)))) (* c t_4))))
        (t_7 (* b (* z (- (* k y0) (* t a)))))
        (t_8 (- (* x y) (* z t)))
        (t_9
         (+
          t_2
          (* c (+ (- (* y0 (- (* x y2) (* z y3))) (* i t_8)) (* y4 t_4))))))
   (if (<= y3 -6e+197)
     (*
      y3
      (+
       (* y (- (* c y4) (* a y5)))
       (+ (* z (- (* a y1) (* c y0))) (* j (- (* y0 y5) (* y1 y4))))))
     (if (<= y3 -7.2e-70)
       t_5
       (if (<= y3 8.6e-276)
         t_3
         (if (<= y3 3.8e-183)
           t_5
           (if (<= y3 1.1e-142)
             t_7
             (if (<= y3 5.5e-121)
               t_3
               (if (<= y3 7e-104)
                 t_6
                 (if (<= y3 1.7e-34)
                   (+
                    t_2
                    (*
                     a
                     (+
                      (+ (* b t_8) (* y1 (- (* z y3) (* x y2))))
                      (* y5 (- (* t y2) (* y y3))))))
                   (if (<= y3 1.36e+42)
                     t_9
                     (if (<= y3 3.2e+128)
                       (* y0 (- (* b (- (* z k) (* x j))) (* y5 t_1)))
                       (if (<= y3 1.75e+169)
                         t_9
                         (if (<= y3 3.2e+264) t_6 t_7))))))))))))))

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 = (k * y2) - (j * y3);
	double t_2 = t_1 * ((y1 * y4) - (y0 * y5));
	double t_3 = t_2 + (x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0)))));
	double t_4 = (y * y3) - (t * y2);
	double t_5 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_6 = y4 * (((y1 * t_1) + (b * ((t * j) - (y * k)))) + (c * t_4));
	double t_7 = b * (z * ((k * y0) - (t * a)));
	double t_8 = (x * y) - (z * t);
	double t_9 = t_2 + (c * (((y0 * ((x * y2) - (z * y3))) - (i * t_8)) + (y4 * t_4)));
	double tmp;
	if (y3 <= -6e+197) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))));
	} else if (y3 <= -7.2e-70) {
		tmp = t_5;
	} else if (y3 <= 8.6e-276) {
		tmp = t_3;
	} else if (y3 <= 3.8e-183) {
		tmp = t_5;
	} else if (y3 <= 1.1e-142) {
		tmp = t_7;
	} else if (y3 <= 5.5e-121) {
		tmp = t_3;
	} else if (y3 <= 7e-104) {
		tmp = t_6;
	} else if (y3 <= 1.7e-34) {
		tmp = t_2 + (a * (((b * t_8) + (y1 * ((z * y3) - (x * y2)))) + (y5 * ((t * y2) - (y * y3)))));
	} else if (y3 <= 1.36e+42) {
		tmp = t_9;
	} else if (y3 <= 3.2e+128) {
		tmp = y0 * ((b * ((z * k) - (x * j))) - (y5 * t_1));
	} else if (y3 <= 1.75e+169) {
		tmp = t_9;
	} else if (y3 <= 3.2e+264) {
		tmp = t_6;
	} else {
		tmp = t_7;
	}
	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) :: t_9
    real(8) :: tmp
    t_1 = (k * y2) - (j * y3)
    t_2 = t_1 * ((y1 * y4) - (y0 * y5))
    t_3 = t_2 + (x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0)))))
    t_4 = (y * y3) - (t * y2)
    t_5 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
    t_6 = y4 * (((y1 * t_1) + (b * ((t * j) - (y * k)))) + (c * t_4))
    t_7 = b * (z * ((k * y0) - (t * a)))
    t_8 = (x * y) - (z * t)
    t_9 = t_2 + (c * (((y0 * ((x * y2) - (z * y3))) - (i * t_8)) + (y4 * t_4)))
    if (y3 <= (-6d+197)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))))
    else if (y3 <= (-7.2d-70)) then
        tmp = t_5
    else if (y3 <= 8.6d-276) then
        tmp = t_3
    else if (y3 <= 3.8d-183) then
        tmp = t_5
    else if (y3 <= 1.1d-142) then
        tmp = t_7
    else if (y3 <= 5.5d-121) then
        tmp = t_3
    else if (y3 <= 7d-104) then
        tmp = t_6
    else if (y3 <= 1.7d-34) then
        tmp = t_2 + (a * (((b * t_8) + (y1 * ((z * y3) - (x * y2)))) + (y5 * ((t * y2) - (y * y3)))))
    else if (y3 <= 1.36d+42) then
        tmp = t_9
    else if (y3 <= 3.2d+128) then
        tmp = y0 * ((b * ((z * k) - (x * j))) - (y5 * t_1))
    else if (y3 <= 1.75d+169) then
        tmp = t_9
    else if (y3 <= 3.2d+264) then
        tmp = t_6
    else
        tmp = t_7
    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 = (k * y2) - (j * y3);
	double t_2 = t_1 * ((y1 * y4) - (y0 * y5));
	double t_3 = t_2 + (x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0)))));
	double t_4 = (y * y3) - (t * y2);
	double t_5 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_6 = y4 * (((y1 * t_1) + (b * ((t * j) - (y * k)))) + (c * t_4));
	double t_7 = b * (z * ((k * y0) - (t * a)));
	double t_8 = (x * y) - (z * t);
	double t_9 = t_2 + (c * (((y0 * ((x * y2) - (z * y3))) - (i * t_8)) + (y4 * t_4)));
	double tmp;
	if (y3 <= -6e+197) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))));
	} else if (y3 <= -7.2e-70) {
		tmp = t_5;
	} else if (y3 <= 8.6e-276) {
		tmp = t_3;
	} else if (y3 <= 3.8e-183) {
		tmp = t_5;
	} else if (y3 <= 1.1e-142) {
		tmp = t_7;
	} else if (y3 <= 5.5e-121) {
		tmp = t_3;
	} else if (y3 <= 7e-104) {
		tmp = t_6;
	} else if (y3 <= 1.7e-34) {
		tmp = t_2 + (a * (((b * t_8) + (y1 * ((z * y3) - (x * y2)))) + (y5 * ((t * y2) - (y * y3)))));
	} else if (y3 <= 1.36e+42) {
		tmp = t_9;
	} else if (y3 <= 3.2e+128) {
		tmp = y0 * ((b * ((z * k) - (x * j))) - (y5 * t_1));
	} else if (y3 <= 1.75e+169) {
		tmp = t_9;
	} else if (y3 <= 3.2e+264) {
		tmp = t_6;
	} else {
		tmp = t_7;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (k * y2) - (j * y3)
	t_2 = t_1 * ((y1 * y4) - (y0 * y5))
	t_3 = t_2 + (x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0)))))
	t_4 = (y * y3) - (t * y2)
	t_5 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
	t_6 = y4 * (((y1 * t_1) + (b * ((t * j) - (y * k)))) + (c * t_4))
	t_7 = b * (z * ((k * y0) - (t * a)))
	t_8 = (x * y) - (z * t)
	t_9 = t_2 + (c * (((y0 * ((x * y2) - (z * y3))) - (i * t_8)) + (y4 * t_4)))
	tmp = 0
	if y3 <= -6e+197:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))))
	elif y3 <= -7.2e-70:
		tmp = t_5
	elif y3 <= 8.6e-276:
		tmp = t_3
	elif y3 <= 3.8e-183:
		tmp = t_5
	elif y3 <= 1.1e-142:
		tmp = t_7
	elif y3 <= 5.5e-121:
		tmp = t_3
	elif y3 <= 7e-104:
		tmp = t_6
	elif y3 <= 1.7e-34:
		tmp = t_2 + (a * (((b * t_8) + (y1 * ((z * y3) - (x * y2)))) + (y5 * ((t * y2) - (y * y3)))))
	elif y3 <= 1.36e+42:
		tmp = t_9
	elif y3 <= 3.2e+128:
		tmp = y0 * ((b * ((z * k) - (x * j))) - (y5 * t_1))
	elif y3 <= 1.75e+169:
		tmp = t_9
	elif y3 <= 3.2e+264:
		tmp = t_6
	else:
		tmp = t_7
	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(k * y2) - Float64(j * y3))
	t_2 = Float64(t_1 * Float64(Float64(y1 * y4) - Float64(y0 * y5)))
	t_3 = Float64(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 * Float64(Float64(i * y1) - Float64(b * y0))))))
	t_4 = Float64(Float64(y * y3) - Float64(t * y2))
	t_5 = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / y5))))))
	t_6 = Float64(y4 * Float64(Float64(Float64(y1 * t_1) + Float64(b * Float64(Float64(t * j) - Float64(y * k)))) + Float64(c * t_4)))
	t_7 = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))))
	t_8 = Float64(Float64(x * y) - Float64(z * t))
	t_9 = Float64(t_2 + Float64(c * Float64(Float64(Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))) - Float64(i * t_8)) + Float64(y4 * t_4))))
	tmp = 0.0
	if (y3 <= -6e+197)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))))));
	elseif (y3 <= -7.2e-70)
		tmp = t_5;
	elseif (y3 <= 8.6e-276)
		tmp = t_3;
	elseif (y3 <= 3.8e-183)
		tmp = t_5;
	elseif (y3 <= 1.1e-142)
		tmp = t_7;
	elseif (y3 <= 5.5e-121)
		tmp = t_3;
	elseif (y3 <= 7e-104)
		tmp = t_6;
	elseif (y3 <= 1.7e-34)
		tmp = Float64(t_2 + Float64(a * Float64(Float64(Float64(b * t_8) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))))));
	elseif (y3 <= 1.36e+42)
		tmp = t_9;
	elseif (y3 <= 3.2e+128)
		tmp = Float64(y0 * Float64(Float64(b * Float64(Float64(z * k) - Float64(x * j))) - Float64(y5 * t_1)));
	elseif (y3 <= 1.75e+169)
		tmp = t_9;
	elseif (y3 <= 3.2e+264)
		tmp = t_6;
	else
		tmp = t_7;
	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 = (k * y2) - (j * y3);
	t_2 = t_1 * ((y1 * y4) - (y0 * y5));
	t_3 = t_2 + (x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0)))));
	t_4 = (y * y3) - (t * y2);
	t_5 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	t_6 = y4 * (((y1 * t_1) + (b * ((t * j) - (y * k)))) + (c * t_4));
	t_7 = b * (z * ((k * y0) - (t * a)));
	t_8 = (x * y) - (z * t);
	t_9 = t_2 + (c * (((y0 * ((x * y2) - (z * y3))) - (i * t_8)) + (y4 * t_4)));
	tmp = 0.0;
	if (y3 <= -6e+197)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))));
	elseif (y3 <= -7.2e-70)
		tmp = t_5;
	elseif (y3 <= 8.6e-276)
		tmp = t_3;
	elseif (y3 <= 3.8e-183)
		tmp = t_5;
	elseif (y3 <= 1.1e-142)
		tmp = t_7;
	elseif (y3 <= 5.5e-121)
		tmp = t_3;
	elseif (y3 <= 7e-104)
		tmp = t_6;
	elseif (y3 <= 1.7e-34)
		tmp = t_2 + (a * (((b * t_8) + (y1 * ((z * y3) - (x * y2)))) + (y5 * ((t * y2) - (y * y3)))));
	elseif (y3 <= 1.36e+42)
		tmp = t_9;
	elseif (y3 <= 3.2e+128)
		tmp = y0 * ((b * ((z * k) - (x * j))) - (y5 * t_1));
	elseif (y3 <= 1.75e+169)
		tmp = t_9;
	elseif (y3 <= 3.2e+264)
		tmp = t_6;
	else
		tmp = t_7;
	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[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(t$95$1 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(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 * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y4 * N[(N[(N[(y1 * t$95$1), $MachinePrecision] + N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(t$95$2 + N[(c * N[(N[(N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * t$95$8), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -6e+197], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -7.2e-70], t$95$5, If[LessEqual[y3, 8.6e-276], t$95$3, If[LessEqual[y3, 3.8e-183], t$95$5, If[LessEqual[y3, 1.1e-142], t$95$7, If[LessEqual[y3, 5.5e-121], t$95$3, If[LessEqual[y3, 7e-104], t$95$6, If[LessEqual[y3, 1.7e-34], N[(t$95$2 + N[(a * N[(N[(N[(b * t$95$8), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.36e+42], t$95$9, If[LessEqual[y3, 3.2e+128], N[(y0 * N[(N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y5 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.75e+169], t$95$9, If[LessEqual[y3, 3.2e+264], t$95$6, t$95$7]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y3 < -6.0000000000000004e197

   1. Initial program 16.0%

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

   3. Taylor expanded in y3 around -inf 72.0%

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

   if -6.0000000000000004e197 < y3 < -7.2000000000000004e-70 or 8.59999999999999921e-276 < y3 < 3.7999999999999996e-183

   1. Initial program 25.1%

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

   3. Taylor expanded in x around inf 33.4%

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

   4. Taylor expanded in y0 around inf 50.8%

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

   5. Taylor expanded in y5 around -inf 58.4%

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

      1. associate-*r* 58.4%

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

      2. neg-mul-1 58.4%

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

      3. +-commutative 58.4%

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

      4. mul-1-neg 58.4%

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

      5. unsub-neg 58.4%

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

      6. associate-/l* 61.0%

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

      7. *-commutative 61.0%

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

      8. *-commutative 61.0%

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

   7. Simplified 61.0%

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

   if -7.2000000000000004e-70 < y3 < 8.59999999999999921e-276 or 1.10000000000000008e-142 < y3 < 5.50000000000000031e-121

   1. Initial program 40.2%

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

   3. Taylor expanded in x around inf 61.7%

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

   if 3.7999999999999996e-183 < y3 < 1.10000000000000008e-142 or 3.20000000000000005e264 < y3

   1. Initial program 24.0%

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

   3. Taylor expanded in b around inf 58.8%

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

   4. Taylor expanded in z around -inf 76.9%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 76.9%

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

      2. mul-1-neg 76.9%

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

   6. Simplified 76.9%

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

   if 5.50000000000000031e-121 < y3 < 7.00000000000000057e-104 or 1.75000000000000009e169 < y3 < 3.20000000000000005e264

   1. Initial program 11.8%

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

   3. Taylor expanded in y4 around inf 82.4%

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

   if 7.00000000000000057e-104 < y3 < 1.7e-34

   1. Initial program 9.6%

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

   3. Taylor expanded in a around inf 64.1%

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

      1. +-commutative 64.1%

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

      2. mul-1-neg 64.1%

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

      3. unsub-neg 64.1%

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

      4. *-commutative 64.1%

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

      5. *-commutative 64.1%

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

      6. *-commutative 64.1%

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

      7. mul-1-neg 64.1%

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

      8. *-commutative 64.1%

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

   5. Simplified 64.1%

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

   if 1.7e-34 < y3 < 1.35999999999999999e42 or 3.19999999999999986e128 < y3 < 1.75000000000000009e169

   1. Initial program 36.0%

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

   3. Taylor expanded in c around inf 75.8%

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

      1. +-commutative 75.8%

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

      2. mul-1-neg 75.8%

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

      3. unsub-neg 75.8%

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

      4. *-commutative 75.8%

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

      5. *-commutative 75.8%

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

      6. *-commutative 75.8%

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

      7. *-commutative 75.8%

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

   5. Simplified 75.8%

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

   if 1.35999999999999999e42 < y3 < 3.19999999999999986e128

   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 b around inf 54.0%

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

   4. Taylor expanded in y0 around inf 59.3%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + b \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 66.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -6 \cdot 10^{+197}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -7.2 \cdot 10^{-70}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 8.6 \cdot 10^{-276}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + 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}\;y3 \leq 3.8 \cdot 10^{-183}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 1.1 \cdot 10^{-142}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;y3 \leq 5.5 \cdot 10^{-121}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + 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}\;y3 \leq 7 \cdot 10^{-104}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.7 \cdot 10^{-34}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + 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}\;y3 \leq 1.36 \cdot 10^{+42}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) - i \cdot \left(x \cdot y - z \cdot t\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 3.2 \cdot 10^{+128}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k - x \cdot j\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 1.75 \cdot 10^{+169}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) - i \cdot \left(x \cdot y - z \cdot t\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 3.2 \cdot 10^{+264}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 5: 38.3% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot y - z \cdot t\\ t_2 := t \cdot j - y \cdot k\\ t_3 := x \cdot y2 - z \cdot y3\\ t_4 := y1 \cdot y4 - y0 \cdot y5\\ t_5 := z \cdot k - x \cdot j\\ t_6 := k \cdot y2 - j \cdot y3\\ t_7 := y5 \cdot t\_6\\ t_8 := t\_6 \cdot t\_4\\ t_9 := t\_8 + b \cdot \left(\left(a \cdot t\_1 + y4 \cdot t\_2\right) + y0 \cdot t\_5\right)\\ t_10 := y \cdot y3 - t \cdot y2\\ \mathbf{if}\;x \leq -2.16 \cdot 10^{+248}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -7.8 \cdot 10^{+29}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;x \leq -11000000000000:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;x \leq -2.46 \cdot 10^{-42}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;x \leq -4.2 \cdot 10^{-93}:\\ \;\;\;\;\left(t \cdot b\right) \cdot \left(j \cdot y4 - z \cdot a\right)\\ \mathbf{elif}\;x \leq -3 \cdot 10^{-237}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;x \leq -6.8 \cdot 10^{-303}:\\ \;\;\;\;y0 \cdot \left(b \cdot t\_5 - t\_7\right)\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{-90}:\\ \;\;\;\;t\_8 + c \cdot \left(\left(y0 \cdot t\_3 - i \cdot t\_1\right) + y4 \cdot t\_10\right)\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{-32}:\\ \;\;\;\;t\_8 - y1 \cdot \left(a \cdot t\_3 + i \cdot t\_5\right)\\ \mathbf{elif}\;x \leq 1.8 \cdot 10^{+51}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{+77}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y5 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.02 \cdot 10^{+119}:\\ \;\;\;\;t\_8 + y4 \cdot \left(b \cdot t\_2 + c \cdot t\_10\right)\\ \mathbf{elif}\;x \leq 1.6 \cdot 10^{+197}:\\ \;\;\;\;y2 \cdot \left(k \cdot t\_4 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{+269}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t\_3 - t\_7\right) - b \cdot \left(x \cdot j - z \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 (- (* x y) (* z t)))
        (t_2 (- (* t j) (* y k)))
        (t_3 (- (* x y2) (* z y3)))
        (t_4 (- (* y1 y4) (* y0 y5)))
        (t_5 (- (* z k) (* x j)))
        (t_6 (- (* k y2) (* j y3)))
        (t_7 (* y5 t_6))
        (t_8 (* t_6 t_4))
        (t_9 (+ t_8 (* b (+ (+ (* a t_1) (* y4 t_2)) (* y0 t_5)))))
        (t_10 (- (* y y3) (* t y2))))
   (if (<= x -2.16e+248)
     (* a (* y1 (- (* z y3) (* x y2))))
     (if (<= x -7.8e+29)
       (*
        y0
        (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) y5))))))
       (if (<= x -11000000000000.0)
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (+ (* z (- (* a y1) (* c y0))) (* j (- (* y0 y5) (* y1 y4))))))
         (if (<= x -2.46e-42)
           t_9
           (if (<= x -4.2e-93)
             (* (* t b) (- (* j y4) (* z a)))
             (if (<= x -3e-237)
               t_9
               (if (<= x -6.8e-303)
                 (* y0 (- (* b t_5) t_7))
                 (if (<= x 3.5e-90)
                   (+ t_8 (* c (+ (- (* y0 t_3) (* i t_1)) (* y4 t_10))))
                   (if (<= x 1.9e-32)
                     (- t_8 (* y1 (+ (* a t_3) (* i t_5))))
                     (if (<= x 1.8e+51)
                       t_9
                       (if (<= x 2.9e+77)
                         (* a (* y (* y5 (- y3))))
                         (if (<= x 1.02e+119)
                           (+ t_8 (* y4 (+ (* b t_2) (* c t_10))))
                           (if (<= x 1.6e+197)
                             (* y2 (+ (* k t_4) (* x (- (* c y0) (* a y1)))))
                             (if (<= x 1.5e+269)
                               (* c (* x (- (* y0 y2) (* y i))))
                               (*
                                y0
                                (-
                                 (- (* c t_3) t_7)
                                 (* b (- (* x j) (* z 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 = (x * y) - (z * t);
	double t_2 = (t * j) - (y * k);
	double t_3 = (x * y2) - (z * y3);
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = (z * k) - (x * j);
	double t_6 = (k * y2) - (j * y3);
	double t_7 = y5 * t_6;
	double t_8 = t_6 * t_4;
	double t_9 = t_8 + (b * (((a * t_1) + (y4 * t_2)) + (y0 * t_5)));
	double t_10 = (y * y3) - (t * y2);
	double tmp;
	if (x <= -2.16e+248) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (x <= -7.8e+29) {
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	} else if (x <= -11000000000000.0) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))));
	} else if (x <= -2.46e-42) {
		tmp = t_9;
	} else if (x <= -4.2e-93) {
		tmp = (t * b) * ((j * y4) - (z * a));
	} else if (x <= -3e-237) {
		tmp = t_9;
	} else if (x <= -6.8e-303) {
		tmp = y0 * ((b * t_5) - t_7);
	} else if (x <= 3.5e-90) {
		tmp = t_8 + (c * (((y0 * t_3) - (i * t_1)) + (y4 * t_10)));
	} else if (x <= 1.9e-32) {
		tmp = t_8 - (y1 * ((a * t_3) + (i * t_5)));
	} else if (x <= 1.8e+51) {
		tmp = t_9;
	} else if (x <= 2.9e+77) {
		tmp = a * (y * (y5 * -y3));
	} else if (x <= 1.02e+119) {
		tmp = t_8 + (y4 * ((b * t_2) + (c * t_10)));
	} else if (x <= 1.6e+197) {
		tmp = y2 * ((k * t_4) + (x * ((c * y0) - (a * y1))));
	} else if (x <= 1.5e+269) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else {
		tmp = y0 * (((c * t_3) - t_7) - (b * ((x * j) - (z * 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) :: t_10
    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 = (x * y) - (z * t)
    t_2 = (t * j) - (y * k)
    t_3 = (x * y2) - (z * y3)
    t_4 = (y1 * y4) - (y0 * y5)
    t_5 = (z * k) - (x * j)
    t_6 = (k * y2) - (j * y3)
    t_7 = y5 * t_6
    t_8 = t_6 * t_4
    t_9 = t_8 + (b * (((a * t_1) + (y4 * t_2)) + (y0 * t_5)))
    t_10 = (y * y3) - (t * y2)
    if (x <= (-2.16d+248)) then
        tmp = a * (y1 * ((z * y3) - (x * y2)))
    else if (x <= (-7.8d+29)) then
        tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
    else if (x <= (-11000000000000.0d0)) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))))
    else if (x <= (-2.46d-42)) then
        tmp = t_9
    else if (x <= (-4.2d-93)) then
        tmp = (t * b) * ((j * y4) - (z * a))
    else if (x <= (-3d-237)) then
        tmp = t_9
    else if (x <= (-6.8d-303)) then
        tmp = y0 * ((b * t_5) - t_7)
    else if (x <= 3.5d-90) then
        tmp = t_8 + (c * (((y0 * t_3) - (i * t_1)) + (y4 * t_10)))
    else if (x <= 1.9d-32) then
        tmp = t_8 - (y1 * ((a * t_3) + (i * t_5)))
    else if (x <= 1.8d+51) then
        tmp = t_9
    else if (x <= 2.9d+77) then
        tmp = a * (y * (y5 * -y3))
    else if (x <= 1.02d+119) then
        tmp = t_8 + (y4 * ((b * t_2) + (c * t_10)))
    else if (x <= 1.6d+197) then
        tmp = y2 * ((k * t_4) + (x * ((c * y0) - (a * y1))))
    else if (x <= 1.5d+269) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else
        tmp = y0 * (((c * t_3) - t_7) - (b * ((x * j) - (z * 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 = (x * y) - (z * t);
	double t_2 = (t * j) - (y * k);
	double t_3 = (x * y2) - (z * y3);
	double t_4 = (y1 * y4) - (y0 * y5);
	double t_5 = (z * k) - (x * j);
	double t_6 = (k * y2) - (j * y3);
	double t_7 = y5 * t_6;
	double t_8 = t_6 * t_4;
	double t_9 = t_8 + (b * (((a * t_1) + (y4 * t_2)) + (y0 * t_5)));
	double t_10 = (y * y3) - (t * y2);
	double tmp;
	if (x <= -2.16e+248) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (x <= -7.8e+29) {
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	} else if (x <= -11000000000000.0) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))));
	} else if (x <= -2.46e-42) {
		tmp = t_9;
	} else if (x <= -4.2e-93) {
		tmp = (t * b) * ((j * y4) - (z * a));
	} else if (x <= -3e-237) {
		tmp = t_9;
	} else if (x <= -6.8e-303) {
		tmp = y0 * ((b * t_5) - t_7);
	} else if (x <= 3.5e-90) {
		tmp = t_8 + (c * (((y0 * t_3) - (i * t_1)) + (y4 * t_10)));
	} else if (x <= 1.9e-32) {
		tmp = t_8 - (y1 * ((a * t_3) + (i * t_5)));
	} else if (x <= 1.8e+51) {
		tmp = t_9;
	} else if (x <= 2.9e+77) {
		tmp = a * (y * (y5 * -y3));
	} else if (x <= 1.02e+119) {
		tmp = t_8 + (y4 * ((b * t_2) + (c * t_10)));
	} else if (x <= 1.6e+197) {
		tmp = y2 * ((k * t_4) + (x * ((c * y0) - (a * y1))));
	} else if (x <= 1.5e+269) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else {
		tmp = y0 * (((c * t_3) - t_7) - (b * ((x * j) - (z * k))));
	}
	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 = (t * j) - (y * k)
	t_3 = (x * y2) - (z * y3)
	t_4 = (y1 * y4) - (y0 * y5)
	t_5 = (z * k) - (x * j)
	t_6 = (k * y2) - (j * y3)
	t_7 = y5 * t_6
	t_8 = t_6 * t_4
	t_9 = t_8 + (b * (((a * t_1) + (y4 * t_2)) + (y0 * t_5)))
	t_10 = (y * y3) - (t * y2)
	tmp = 0
	if x <= -2.16e+248:
		tmp = a * (y1 * ((z * y3) - (x * y2)))
	elif x <= -7.8e+29:
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
	elif x <= -11000000000000.0:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))))
	elif x <= -2.46e-42:
		tmp = t_9
	elif x <= -4.2e-93:
		tmp = (t * b) * ((j * y4) - (z * a))
	elif x <= -3e-237:
		tmp = t_9
	elif x <= -6.8e-303:
		tmp = y0 * ((b * t_5) - t_7)
	elif x <= 3.5e-90:
		tmp = t_8 + (c * (((y0 * t_3) - (i * t_1)) + (y4 * t_10)))
	elif x <= 1.9e-32:
		tmp = t_8 - (y1 * ((a * t_3) + (i * t_5)))
	elif x <= 1.8e+51:
		tmp = t_9
	elif x <= 2.9e+77:
		tmp = a * (y * (y5 * -y3))
	elif x <= 1.02e+119:
		tmp = t_8 + (y4 * ((b * t_2) + (c * t_10)))
	elif x <= 1.6e+197:
		tmp = y2 * ((k * t_4) + (x * ((c * y0) - (a * y1))))
	elif x <= 1.5e+269:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	else:
		tmp = y0 * (((c * t_3) - t_7) - (b * ((x * j) - (z * 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(Float64(x * y) - Float64(z * t))
	t_2 = Float64(Float64(t * j) - Float64(y * k))
	t_3 = Float64(Float64(x * y2) - Float64(z * y3))
	t_4 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_5 = Float64(Float64(z * k) - Float64(x * j))
	t_6 = Float64(Float64(k * y2) - Float64(j * y3))
	t_7 = Float64(y5 * t_6)
	t_8 = Float64(t_6 * t_4)
	t_9 = Float64(t_8 + Float64(b * Float64(Float64(Float64(a * t_1) + Float64(y4 * t_2)) + Float64(y0 * t_5))))
	t_10 = Float64(Float64(y * y3) - Float64(t * y2))
	tmp = 0.0
	if (x <= -2.16e+248)
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))));
	elseif (x <= -7.8e+29)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / y5))))));
	elseif (x <= -11000000000000.0)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))))));
	elseif (x <= -2.46e-42)
		tmp = t_9;
	elseif (x <= -4.2e-93)
		tmp = Float64(Float64(t * b) * Float64(Float64(j * y4) - Float64(z * a)));
	elseif (x <= -3e-237)
		tmp = t_9;
	elseif (x <= -6.8e-303)
		tmp = Float64(y0 * Float64(Float64(b * t_5) - t_7));
	elseif (x <= 3.5e-90)
		tmp = Float64(t_8 + Float64(c * Float64(Float64(Float64(y0 * t_3) - Float64(i * t_1)) + Float64(y4 * t_10))));
	elseif (x <= 1.9e-32)
		tmp = Float64(t_8 - Float64(y1 * Float64(Float64(a * t_3) + Float64(i * t_5))));
	elseif (x <= 1.8e+51)
		tmp = t_9;
	elseif (x <= 2.9e+77)
		tmp = Float64(a * Float64(y * Float64(y5 * Float64(-y3))));
	elseif (x <= 1.02e+119)
		tmp = Float64(t_8 + Float64(y4 * Float64(Float64(b * t_2) + Float64(c * t_10))));
	elseif (x <= 1.6e+197)
		tmp = Float64(y2 * Float64(Float64(k * t_4) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))));
	elseif (x <= 1.5e+269)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	else
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_3) - t_7) - Float64(b * Float64(Float64(x * j) - Float64(z * 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 = (x * y) - (z * t);
	t_2 = (t * j) - (y * k);
	t_3 = (x * y2) - (z * y3);
	t_4 = (y1 * y4) - (y0 * y5);
	t_5 = (z * k) - (x * j);
	t_6 = (k * y2) - (j * y3);
	t_7 = y5 * t_6;
	t_8 = t_6 * t_4;
	t_9 = t_8 + (b * (((a * t_1) + (y4 * t_2)) + (y0 * t_5)));
	t_10 = (y * y3) - (t * y2);
	tmp = 0.0;
	if (x <= -2.16e+248)
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	elseif (x <= -7.8e+29)
		tmp = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	elseif (x <= -11000000000000.0)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * ((y0 * y5) - (y1 * y4)))));
	elseif (x <= -2.46e-42)
		tmp = t_9;
	elseif (x <= -4.2e-93)
		tmp = (t * b) * ((j * y4) - (z * a));
	elseif (x <= -3e-237)
		tmp = t_9;
	elseif (x <= -6.8e-303)
		tmp = y0 * ((b * t_5) - t_7);
	elseif (x <= 3.5e-90)
		tmp = t_8 + (c * (((y0 * t_3) - (i * t_1)) + (y4 * t_10)));
	elseif (x <= 1.9e-32)
		tmp = t_8 - (y1 * ((a * t_3) + (i * t_5)));
	elseif (x <= 1.8e+51)
		tmp = t_9;
	elseif (x <= 2.9e+77)
		tmp = a * (y * (y5 * -y3));
	elseif (x <= 1.02e+119)
		tmp = t_8 + (y4 * ((b * t_2) + (c * t_10)));
	elseif (x <= 1.6e+197)
		tmp = y2 * ((k * t_4) + (x * ((c * y0) - (a * y1))));
	elseif (x <= 1.5e+269)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	else
		tmp = y0 * (((c * t_3) - t_7) - (b * ((x * j) - (z * 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[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y5 * t$95$6), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$6 * t$95$4), $MachinePrecision]}, Block[{t$95$9 = N[(t$95$8 + N[(b * N[(N[(N[(a * t$95$1), $MachinePrecision] + N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -2.16e+248], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -7.8e+29], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -11000000000000.0], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.46e-42], t$95$9, If[LessEqual[x, -4.2e-93], N[(N[(t * b), $MachinePrecision] * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -3e-237], t$95$9, If[LessEqual[x, -6.8e-303], N[(y0 * N[(N[(b * t$95$5), $MachinePrecision] - t$95$7), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.5e-90], N[(t$95$8 + N[(c * N[(N[(N[(y0 * t$95$3), $MachinePrecision] - N[(i * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.9e-32], N[(t$95$8 - N[(y1 * N[(N[(a * t$95$3), $MachinePrecision] + N[(i * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.8e+51], t$95$9, If[LessEqual[x, 2.9e+77], N[(a * N[(y * N[(y5 * (-y3)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.02e+119], N[(t$95$8 + N[(y4 * N[(N[(b * t$95$2), $MachinePrecision] + N[(c * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.6e+197], N[(y2 * N[(N[(k * t$95$4), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.5e+269], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(N[(N[(c * t$95$3), $MachinePrecision] - t$95$7), $MachinePrecision] - N[(b * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if x < -2.16e248

   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 y1 around -inf 41.7%

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

      1. associate-*r* 41.7%

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

      2. neg-mul-1 41.7%

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

      3. +-commutative 41.7%

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

      4. mul-1-neg 41.7%

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

      5. unsub-neg 41.7%

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

      6. *-commutative 41.7%

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

      7. *-commutative 41.7%

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

      8. *-commutative 41.7%

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

      9. *-commutative 41.7%

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

   5. Simplified 41.7%

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

   6. Taylor expanded in a around inf 64.9%

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

      1. mul-1-neg 64.9%

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

   8. Simplified 64.9%

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

   if -2.16e248 < x < -7.79999999999999937e29

   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 x around inf 59.2%

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

   4. Taylor expanded in y0 around inf 63.6%

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

   5. Taylor expanded in y5 around -inf 74.0%

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

      1. associate-*r* 74.0%

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

      2. neg-mul-1 74.0%

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

      3. +-commutative 74.0%

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

      4. mul-1-neg 74.0%

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

      5. unsub-neg 74.0%

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

      6. associate-/l* 74.0%

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

      7. *-commutative 74.0%

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

      8. *-commutative 74.0%

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

   7. Simplified 74.0%

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

   if -7.79999999999999937e29 < x < -1.1e13

   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 y3 around -inf 85.8%

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

   if -1.1e13 < x < -2.45999999999999989e-42 or -4.2000000000000002e-93 < x < -3.00000000000000024e-237 or 1.90000000000000004e-32 < x < 1.80000000000000005e51

   1. Initial program 45.3%

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

   3. Taylor expanded in b around inf 58.8%

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

   if -2.45999999999999989e-42 < x < -4.2000000000000002e-93

   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 b around inf 18.7%

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

   4. Taylor expanded in t around inf 72.9%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 72.9%

         \[\leadsto \color{blue}{\left(b \cdot t\right) \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)} \]

      2. +-commutative 72.9%

         \[\leadsto \left(b \cdot t\right) \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)} \]

      3. mul-1-neg 72.9%

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

      4. unsub-neg 72.9%

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

   6. Simplified 72.9%

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

   if -3.00000000000000024e-237 < x < -6.8e-303

   1. Initial program 21.7%

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

   3. Taylor expanded in b around inf 47.9%

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

   4. Taylor expanded in y0 around inf 76.7%

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

   if -6.8e-303 < x < 3.4999999999999999e-90

   1. Initial program 47.4%

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

   3. Taylor expanded in c around inf 62.2%

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

      1. +-commutative 62.2%

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

      2. mul-1-neg 62.2%

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

      3. unsub-neg 62.2%

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

      4. *-commutative 62.2%

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

      5. *-commutative 62.2%

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

      6. *-commutative 62.2%

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

      7. *-commutative 62.2%

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

   5. Simplified 62.2%

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

   if 3.4999999999999999e-90 < x < 1.90000000000000004e-32

   1. Initial program 15.2%

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

   3. Taylor expanded in y1 around -inf 73.1%

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

      1. associate-*r* 73.1%

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

      2. neg-mul-1 73.1%

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

      3. *-commutative 73.1%

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

      4. *-commutative 73.1%

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

      5. *-commutative 73.1%

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

   5. Simplified 73.1%

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

   if 1.80000000000000005e51 < x < 2.9000000000000002e77

   1. Initial program 0.6%

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

   3. Taylor expanded in y around inf 14.9%

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

   4. Taylor expanded in a around inf 58.3%

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

   5. Taylor expanded in b around 0 72.5%

      \[\leadsto a \cdot \left(y \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot y5\right)\right)}\right) \]
   6. Step-by-step derivation

      1. neg-mul-1 72.5%

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

      2. distribute-rgt-neg-in 72.5%

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

   7. Simplified 72.5%

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

   if 2.9000000000000002e77 < x < 1.02e119

   1. Initial program 16.7%

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

   3. Taylor expanded in y4 around inf 83.3%

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

      1. *-commutative 83.3%

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

      2. *-commutative 83.3%

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

   5. Simplified 83.3%

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

   if 1.02e119 < x < 1.5999999999999999e197

   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 x around inf 52.9%

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

   4. Taylor expanded in y2 around inf 65.1%

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

   if 1.5999999999999999e197 < x < 1.5000000000000001e269

   1. Initial program 6.3%

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

   3. Taylor expanded in x around inf 41.2%

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

   4. Taylor expanded in c around inf 82.8%

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

   if 1.5000000000000001e269 < x

   1. Initial program 21.4%

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

   3. Taylor expanded in y0 around inf 85.7%

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

      1. +-commutative 85.7%

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

      2. mul-1-neg 85.7%

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

      3. unsub-neg 85.7%

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

      4. *-commutative 85.7%

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

      5. *-commutative 85.7%

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

      6. *-commutative 85.7%

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

      7. *-commutative 85.7%

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

   5. Simplified 85.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 69.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.16 \cdot 10^{+248}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -7.8 \cdot 10^{+29}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;x \leq -11000000000000:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;x \leq -2.46 \cdot 10^{-42}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -4.2 \cdot 10^{-93}:\\ \;\;\;\;\left(t \cdot b\right) \cdot \left(j \cdot y4 - z \cdot a\right)\\ \mathbf{elif}\;x \leq -3 \cdot 10^{-237}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -6.8 \cdot 10^{-303}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k - x \cdot j\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{-90}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) - i \cdot \left(x \cdot y - z \cdot t\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{-32}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 1.8 \cdot 10^{+51}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{+77}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y5 \cdot \left(-y3\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.02 \cdot 10^{+119}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y4 \cdot \left(b \cdot \left(t \cdot j - y \cdot k\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 1.6 \cdot 10^{+197}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{+269}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 37.5% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := \left(k \cdot y2 - j \cdot y3\right) \cdot t\_1\\ t_3 := t\_2 + y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ t_4 := k \cdot t\_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\\ t_5 := x \cdot y - z \cdot t\\ t_6 := b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ t_7 := a \cdot y5 - c \cdot y4\\ \mathbf{if}\;z \leq -1.65 \cdot 10^{+47}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;z \leq -2.8 \cdot 10^{-18}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;z \leq -9.5 \cdot 10^{-61}:\\ \;\;\;\;y2 \cdot t\_4\\ \mathbf{elif}\;z \leq -3 \cdot 10^{-110}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right) + y2 \cdot t\_7\right)\\ \mathbf{elif}\;z \leq -2.45 \cdot 10^{-222}:\\ \;\;\;\;t\_2 + b \cdot \left(\left(a \cdot t\_5 + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;z \leq 7 \cdot 10^{-126}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 5.4 \cdot 10^{+50}:\\ \;\;\;\;y2 \cdot \left(t\_4 + t \cdot t\_7\right)\\ \mathbf{elif}\;z \leq 4.3 \cdot 10^{+95}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;z \leq 1.9 \cdot 10^{+127}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 1.85 \cdot 10^{+223}:\\ \;\;\;\;t\_6\\ \mathbf{else}:\\ \;\;\;\;t\_2 + c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) - i \cdot t\_5\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2 (* (- (* k y2) (* j y3)) t_1))
        (t_3
         (+
          t_2
          (*
           y
           (+
            (+ (* k (- (* i y5) (* b y4))) (* x (- (* a b) (* c i))))
            (* y3 (- (* c y4) (* a y5)))))))
        (t_4 (+ (* k t_1) (* x (- (* c y0) (* a y1)))))
        (t_5 (- (* x y) (* z t)))
        (t_6 (* b (* z (- (* k y0) (* t a)))))
        (t_7 (- (* a y5) (* c y4))))
   (if (<= z -1.65e+47)
     t_6
     (if (<= z -2.8e-18)
       t_3
       (if (<= z -9.5e-61)
         (* y2 t_4)
         (if (<= z -3e-110)
           (* t (+ (* y4 (* b j)) (* y2 t_7)))
           (if (<= z -2.45e-222)
             (+
              t_2
              (*
               b
               (+
                (+ (* a t_5) (* y4 (- (* t j) (* y k))))
                (* y0 (- (* z k) (* x j))))))
             (if (<= z 7e-126)
               (*
                j
                (+
                 (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
                 (* x (- (* i y1) (* b y0)))))
               (if (<= z 5.4e+50)
                 (* y2 (+ t_4 (* t t_7)))
                 (if (<= z 4.3e+95)
                   t_3
                   (if (<= z 1.9e+127)
                     (* b (* x (- (* y a) (* j y0))))
                     (if (<= z 1.85e+223)
                       t_6
                       (+
                        t_2
                        (*
                         c
                         (+
                          (- (* y0 (- (* x y2) (* z y3))) (* i t_5))
                          (* y4 (- (* y y3) (* t 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 = (y1 * y4) - (y0 * y5);
	double t_2 = ((k * y2) - (j * y3)) * t_1;
	double t_3 = t_2 + (y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5)))));
	double t_4 = (k * t_1) + (x * ((c * y0) - (a * y1)));
	double t_5 = (x * y) - (z * t);
	double t_6 = b * (z * ((k * y0) - (t * a)));
	double t_7 = (a * y5) - (c * y4);
	double tmp;
	if (z <= -1.65e+47) {
		tmp = t_6;
	} else if (z <= -2.8e-18) {
		tmp = t_3;
	} else if (z <= -9.5e-61) {
		tmp = y2 * t_4;
	} else if (z <= -3e-110) {
		tmp = t * ((y4 * (b * j)) + (y2 * t_7));
	} else if (z <= -2.45e-222) {
		tmp = t_2 + (b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j)))));
	} else if (z <= 7e-126) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (z <= 5.4e+50) {
		tmp = y2 * (t_4 + (t * t_7));
	} else if (z <= 4.3e+95) {
		tmp = t_3;
	} else if (z <= 1.9e+127) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= 1.85e+223) {
		tmp = t_6;
	} else {
		tmp = t_2 + (c * (((y0 * ((x * y2) - (z * y3))) - (i * t_5)) + (y4 * ((y * y3) - (t * 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) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = (y1 * y4) - (y0 * y5)
    t_2 = ((k * y2) - (j * y3)) * t_1
    t_3 = t_2 + (y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5)))))
    t_4 = (k * t_1) + (x * ((c * y0) - (a * y1)))
    t_5 = (x * y) - (z * t)
    t_6 = b * (z * ((k * y0) - (t * a)))
    t_7 = (a * y5) - (c * y4)
    if (z <= (-1.65d+47)) then
        tmp = t_6
    else if (z <= (-2.8d-18)) then
        tmp = t_3
    else if (z <= (-9.5d-61)) then
        tmp = y2 * t_4
    else if (z <= (-3d-110)) then
        tmp = t * ((y4 * (b * j)) + (y2 * t_7))
    else if (z <= (-2.45d-222)) then
        tmp = t_2 + (b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j)))))
    else if (z <= 7d-126) then
        tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    else if (z <= 5.4d+50) then
        tmp = y2 * (t_4 + (t * t_7))
    else if (z <= 4.3d+95) then
        tmp = t_3
    else if (z <= 1.9d+127) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (z <= 1.85d+223) then
        tmp = t_6
    else
        tmp = t_2 + (c * (((y0 * ((x * y2) - (z * y3))) - (i * t_5)) + (y4 * ((y * y3) - (t * 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 = (y1 * y4) - (y0 * y5);
	double t_2 = ((k * y2) - (j * y3)) * t_1;
	double t_3 = t_2 + (y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5)))));
	double t_4 = (k * t_1) + (x * ((c * y0) - (a * y1)));
	double t_5 = (x * y) - (z * t);
	double t_6 = b * (z * ((k * y0) - (t * a)));
	double t_7 = (a * y5) - (c * y4);
	double tmp;
	if (z <= -1.65e+47) {
		tmp = t_6;
	} else if (z <= -2.8e-18) {
		tmp = t_3;
	} else if (z <= -9.5e-61) {
		tmp = y2 * t_4;
	} else if (z <= -3e-110) {
		tmp = t * ((y4 * (b * j)) + (y2 * t_7));
	} else if (z <= -2.45e-222) {
		tmp = t_2 + (b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j)))));
	} else if (z <= 7e-126) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (z <= 5.4e+50) {
		tmp = y2 * (t_4 + (t * t_7));
	} else if (z <= 4.3e+95) {
		tmp = t_3;
	} else if (z <= 1.9e+127) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (z <= 1.85e+223) {
		tmp = t_6;
	} else {
		tmp = t_2 + (c * (((y0 * ((x * y2) - (z * y3))) - (i * t_5)) + (y4 * ((y * y3) - (t * y2)))));
	}
	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 = ((k * y2) - (j * y3)) * t_1
	t_3 = t_2 + (y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5)))))
	t_4 = (k * t_1) + (x * ((c * y0) - (a * y1)))
	t_5 = (x * y) - (z * t)
	t_6 = b * (z * ((k * y0) - (t * a)))
	t_7 = (a * y5) - (c * y4)
	tmp = 0
	if z <= -1.65e+47:
		tmp = t_6
	elif z <= -2.8e-18:
		tmp = t_3
	elif z <= -9.5e-61:
		tmp = y2 * t_4
	elif z <= -3e-110:
		tmp = t * ((y4 * (b * j)) + (y2 * t_7))
	elif z <= -2.45e-222:
		tmp = t_2 + (b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j)))))
	elif z <= 7e-126:
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	elif z <= 5.4e+50:
		tmp = y2 * (t_4 + (t * t_7))
	elif z <= 4.3e+95:
		tmp = t_3
	elif z <= 1.9e+127:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif z <= 1.85e+223:
		tmp = t_6
	else:
		tmp = t_2 + (c * (((y0 * ((x * y2) - (z * y3))) - (i * t_5)) + (y4 * ((y * y3) - (t * 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(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(Float64(Float64(k * y2) - Float64(j * y3)) * t_1)
	t_3 = Float64(t_2 + 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))))))
	t_4 = Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1))))
	t_5 = Float64(Float64(x * y) - Float64(z * t))
	t_6 = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))))
	t_7 = Float64(Float64(a * y5) - Float64(c * y4))
	tmp = 0.0
	if (z <= -1.65e+47)
		tmp = t_6;
	elseif (z <= -2.8e-18)
		tmp = t_3;
	elseif (z <= -9.5e-61)
		tmp = Float64(y2 * t_4);
	elseif (z <= -3e-110)
		tmp = Float64(t * Float64(Float64(y4 * Float64(b * j)) + Float64(y2 * t_7)));
	elseif (z <= -2.45e-222)
		tmp = Float64(t_2 + 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 (z <= 7e-126)
		tmp = 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)))));
	elseif (z <= 5.4e+50)
		tmp = Float64(y2 * Float64(t_4 + Float64(t * t_7)));
	elseif (z <= 4.3e+95)
		tmp = t_3;
	elseif (z <= 1.9e+127)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (z <= 1.85e+223)
		tmp = t_6;
	else
		tmp = Float64(t_2 + Float64(c * Float64(Float64(Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))) - Float64(i * t_5)) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * 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 = (y1 * y4) - (y0 * y5);
	t_2 = ((k * y2) - (j * y3)) * t_1;
	t_3 = t_2 + (y * (((k * ((i * y5) - (b * y4))) + (x * ((a * b) - (c * i)))) + (y3 * ((c * y4) - (a * y5)))));
	t_4 = (k * t_1) + (x * ((c * y0) - (a * y1)));
	t_5 = (x * y) - (z * t);
	t_6 = b * (z * ((k * y0) - (t * a)));
	t_7 = (a * y5) - (c * y4);
	tmp = 0.0;
	if (z <= -1.65e+47)
		tmp = t_6;
	elseif (z <= -2.8e-18)
		tmp = t_3;
	elseif (z <= -9.5e-61)
		tmp = y2 * t_4;
	elseif (z <= -3e-110)
		tmp = t * ((y4 * (b * j)) + (y2 * t_7));
	elseif (z <= -2.45e-222)
		tmp = t_2 + (b * (((a * t_5) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j)))));
	elseif (z <= 7e-126)
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	elseif (z <= 5.4e+50)
		tmp = y2 * (t_4 + (t * t_7));
	elseif (z <= 4.3e+95)
		tmp = t_3;
	elseif (z <= 1.9e+127)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (z <= 1.85e+223)
		tmp = t_6;
	else
		tmp = t_2 + (c * (((y0 * ((x * y2) - (z * y3))) - (i * t_5)) + (y4 * ((y * y3) - (t * 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[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * t$95$1), $MachinePrecision]}, Block[{t$95$3 = N[(t$95$2 + 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]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[z, -1.65e+47], t$95$6, If[LessEqual[z, -2.8e-18], t$95$3, If[LessEqual[z, -9.5e-61], N[(y2 * t$95$4), $MachinePrecision], If[LessEqual[z, -3e-110], N[(t * N[(N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, -2.45e-222], N[(t$95$2 + 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]), $MachinePrecision], If[LessEqual[z, 7e-126], 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], If[LessEqual[z, 5.4e+50], N[(y2 * N[(t$95$4 + N[(t * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 4.3e+95], t$95$3, If[LessEqual[z, 1.9e+127], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[z, 1.85e+223], t$95$6, N[(t$95$2 + N[(c * N[(N[(N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(i * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if z < -1.65e47 or 1.8999999999999999e127 < z < 1.8500000000000001e223

   1. Initial program 14.5%

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

   3. Taylor expanded in b around inf 40.4%

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

   4. Taylor expanded in z around -inf 66.9%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 66.9%

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

      2. mul-1-neg 66.9%

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

   6. Simplified 66.9%

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

   if -1.65e47 < z < -2.80000000000000012e-18 or 5.4e50 < z < 4.3e95

   1. Initial program 37.3%

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

   3. Taylor expanded in y around inf 70.5%

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

   if -2.80000000000000012e-18 < z < -9.49999999999999986e-61

   1. Initial program 10.7%

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

   3. Taylor expanded in x around inf 40.0%

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

   4. Taylor expanded in y2 around inf 70.5%

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

   if -9.49999999999999986e-61 < z < -2.99999999999999986e-110

   1. Initial program 23.6%

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

   3. Taylor expanded in y4 around inf 46.6%

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

      1. *-commutative 46.6%

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

   5. Simplified 46.6%

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

   6. Taylor expanded in t around inf 62.9%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 62.9%

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

   8. Simplified 62.9%

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

   if -2.99999999999999986e-110 < z < -2.45e-222

   1. Initial program 27.2%

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

   3. Taylor expanded in b around inf 73.0%

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

   if -2.45e-222 < z < 7e-126

   1. Initial program 33.5%

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

   3. Taylor expanded in j around inf 54.6%

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

      1. +-commutative 54.6%

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

      2. mul-1-neg 54.6%

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

      3. unsub-neg 54.6%

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

      4. *-commutative 54.6%

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

   5. Simplified 54.6%

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

   if 7e-126 < z < 5.4e50

   1. Initial program 31.1%

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

   3. Taylor expanded in y2 around inf 58.4%

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

   if 4.3e95 < z < 1.8999999999999999e127

   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 x around inf 42.9%

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

   4. Taylor expanded in b around inf 71.8%

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

   if 1.8500000000000001e223 < z

   1. Initial program 41.9%

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

   3. Taylor expanded in c around inf 73.7%

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

      1. +-commutative 73.7%

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

      2. mul-1-neg 73.7%

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

      3. unsub-neg 73.7%

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

      4. *-commutative 73.7%

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

      5. *-commutative 73.7%

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

      6. *-commutative 73.7%

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

      7. *-commutative 73.7%

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

   5. Simplified 73.7%

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

4. Final simplification 64.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;z \leq -1.65 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;z \leq -2.8 \cdot 10^{-18}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + 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}\;z \leq -9.5 \cdot 10^{-61}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;z \leq -3 \cdot 10^{-110}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;z \leq -2.45 \cdot 10^{-222}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;z \leq 7 \cdot 10^{-126}:\\ \;\;\;\;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}\;z \leq 5.4 \cdot 10^{+50}:\\ \;\;\;\;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}\;z \leq 4.3 \cdot 10^{+95}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + 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}\;z \leq 1.9 \cdot 10^{+127}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;z \leq 1.85 \cdot 10^{+223}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) - i \cdot \left(x \cdot y - z \cdot t\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 38.7% accurate, 1.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot y2 - j \cdot y3\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ t_3 := t\_1 \cdot t\_2\\ t_4 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ t_5 := x \cdot y2 - z \cdot y3\\ t_6 := a \cdot y5 - c \cdot y4\\ t_7 := z \cdot k - x \cdot j\\ t_8 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot t\_7\right)\\ t_9 := t\_3 + t\_8\\ t_10 := c \cdot y0 - a \cdot y1\\ \mathbf{if}\;y2 \leq -4.5 \cdot 10^{+106}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y2 \leq -0.00045:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -1.9 \cdot 10^{-92}:\\ \;\;\;\;t\_3 - y1 \cdot \left(a \cdot t\_5 + i \cdot t\_7\right)\\ \mathbf{elif}\;y2 \leq -2.45 \cdot 10^{-205}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y2 \leq 2.7 \cdot 10^{-92}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;y2 \leq 1.95 \cdot 10^{+56}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot t\_5 - y5 \cdot t\_1\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 3.15 \cdot 10^{+134}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;y2 \leq 3.4 \cdot 10^{+169}:\\ \;\;\;\;t\_3 + \left(\left(t \cdot y2 - y \cdot y3\right) \cdot t\_6 - \left(z \cdot y3\right) \cdot t\_10\right)\\ \mathbf{elif}\;y2 \leq 6.8 \cdot 10^{+204}:\\ \;\;\;\;t\_8 + y1 \cdot \left(y4 \cdot t\_1\right)\\ \mathbf{elif}\;y2 \leq 5 \cdot 10^{+261} \lor \neg \left(y2 \leq 2.8 \cdot 10^{+294}\right):\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_2 + x \cdot t\_10\right) + t \cdot t\_6\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* k y2) (* j y3)))
        (t_2 (- (* y1 y4) (* y0 y5)))
        (t_3 (* t_1 t_2))
        (t_4
         (*
          y0
          (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) y5)))))))
        (t_5 (- (* x y2) (* z y3)))
        (t_6 (- (* a y5) (* c y4)))
        (t_7 (- (* z k) (* x j)))
        (t_8
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 t_7))))
        (t_9 (+ t_3 t_8))
        (t_10 (- (* c y0) (* a y1))))
   (if (<= y2 -4.5e+106)
     t_4
     (if (<= y2 -0.00045)
       (*
        j
        (+
         (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
         (* x (- (* i y1) (* b y0)))))
       (if (<= y2 -1.9e-92)
         (- t_3 (* y1 (+ (* a t_5) (* i t_7))))
         (if (<= y2 -2.45e-205)
           t_4
           (if (<= y2 2.7e-92)
             t_9
             (if (<= y2 1.95e+56)
               (* y0 (- (- (* c t_5) (* y5 t_1)) (* b (- (* x j) (* z k)))))
               (if (<= y2 3.15e+134)
                 t_9
                 (if (<= y2 3.4e+169)
                   (+ t_3 (- (* (- (* t y2) (* y y3)) t_6) (* (* z y3) t_10)))
                   (if (<= y2 6.8e+204)
                     (+ t_8 (* y1 (* y4 t_1)))
                     (if (or (<= y2 5e+261) (not (<= y2 2.8e+294)))
                       (* y2 (+ (+ (* k t_2) (* x t_10)) (* t t_6)))
                       (* y0 (* (* y2 y5) (- 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 = (k * y2) - (j * y3);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = t_1 * t_2;
	double t_4 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_5 = (x * y2) - (z * y3);
	double t_6 = (a * y5) - (c * y4);
	double t_7 = (z * k) - (x * j);
	double t_8 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_7));
	double t_9 = t_3 + t_8;
	double t_10 = (c * y0) - (a * y1);
	double tmp;
	if (y2 <= -4.5e+106) {
		tmp = t_4;
	} else if (y2 <= -0.00045) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (y2 <= -1.9e-92) {
		tmp = t_3 - (y1 * ((a * t_5) + (i * t_7)));
	} else if (y2 <= -2.45e-205) {
		tmp = t_4;
	} else if (y2 <= 2.7e-92) {
		tmp = t_9;
	} else if (y2 <= 1.95e+56) {
		tmp = y0 * (((c * t_5) - (y5 * t_1)) - (b * ((x * j) - (z * k))));
	} else if (y2 <= 3.15e+134) {
		tmp = t_9;
	} else if (y2 <= 3.4e+169) {
		tmp = t_3 + ((((t * y2) - (y * y3)) * t_6) - ((z * y3) * t_10));
	} else if (y2 <= 6.8e+204) {
		tmp = t_8 + (y1 * (y4 * t_1));
	} else if ((y2 <= 5e+261) || !(y2 <= 2.8e+294)) {
		tmp = y2 * (((k * t_2) + (x * t_10)) + (t * t_6));
	} else {
		tmp = y0 * ((y2 * y5) * -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) :: t_10
    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 = (k * y2) - (j * y3)
    t_2 = (y1 * y4) - (y0 * y5)
    t_3 = t_1 * t_2
    t_4 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
    t_5 = (x * y2) - (z * y3)
    t_6 = (a * y5) - (c * y4)
    t_7 = (z * k) - (x * j)
    t_8 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_7))
    t_9 = t_3 + t_8
    t_10 = (c * y0) - (a * y1)
    if (y2 <= (-4.5d+106)) then
        tmp = t_4
    else if (y2 <= (-0.00045d0)) then
        tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    else if (y2 <= (-1.9d-92)) then
        tmp = t_3 - (y1 * ((a * t_5) + (i * t_7)))
    else if (y2 <= (-2.45d-205)) then
        tmp = t_4
    else if (y2 <= 2.7d-92) then
        tmp = t_9
    else if (y2 <= 1.95d+56) then
        tmp = y0 * (((c * t_5) - (y5 * t_1)) - (b * ((x * j) - (z * k))))
    else if (y2 <= 3.15d+134) then
        tmp = t_9
    else if (y2 <= 3.4d+169) then
        tmp = t_3 + ((((t * y2) - (y * y3)) * t_6) - ((z * y3) * t_10))
    else if (y2 <= 6.8d+204) then
        tmp = t_8 + (y1 * (y4 * t_1))
    else if ((y2 <= 5d+261) .or. (.not. (y2 <= 2.8d+294))) then
        tmp = y2 * (((k * t_2) + (x * t_10)) + (t * t_6))
    else
        tmp = y0 * ((y2 * y5) * -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 = (k * y2) - (j * y3);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = t_1 * t_2;
	double t_4 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_5 = (x * y2) - (z * y3);
	double t_6 = (a * y5) - (c * y4);
	double t_7 = (z * k) - (x * j);
	double t_8 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_7));
	double t_9 = t_3 + t_8;
	double t_10 = (c * y0) - (a * y1);
	double tmp;
	if (y2 <= -4.5e+106) {
		tmp = t_4;
	} else if (y2 <= -0.00045) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (y2 <= -1.9e-92) {
		tmp = t_3 - (y1 * ((a * t_5) + (i * t_7)));
	} else if (y2 <= -2.45e-205) {
		tmp = t_4;
	} else if (y2 <= 2.7e-92) {
		tmp = t_9;
	} else if (y2 <= 1.95e+56) {
		tmp = y0 * (((c * t_5) - (y5 * t_1)) - (b * ((x * j) - (z * k))));
	} else if (y2 <= 3.15e+134) {
		tmp = t_9;
	} else if (y2 <= 3.4e+169) {
		tmp = t_3 + ((((t * y2) - (y * y3)) * t_6) - ((z * y3) * t_10));
	} else if (y2 <= 6.8e+204) {
		tmp = t_8 + (y1 * (y4 * t_1));
	} else if ((y2 <= 5e+261) || !(y2 <= 2.8e+294)) {
		tmp = y2 * (((k * t_2) + (x * t_10)) + (t * t_6));
	} else {
		tmp = y0 * ((y2 * y5) * -k);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (k * y2) - (j * y3)
	t_2 = (y1 * y4) - (y0 * y5)
	t_3 = t_1 * t_2
	t_4 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
	t_5 = (x * y2) - (z * y3)
	t_6 = (a * y5) - (c * y4)
	t_7 = (z * k) - (x * j)
	t_8 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_7))
	t_9 = t_3 + t_8
	t_10 = (c * y0) - (a * y1)
	tmp = 0
	if y2 <= -4.5e+106:
		tmp = t_4
	elif y2 <= -0.00045:
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	elif y2 <= -1.9e-92:
		tmp = t_3 - (y1 * ((a * t_5) + (i * t_7)))
	elif y2 <= -2.45e-205:
		tmp = t_4
	elif y2 <= 2.7e-92:
		tmp = t_9
	elif y2 <= 1.95e+56:
		tmp = y0 * (((c * t_5) - (y5 * t_1)) - (b * ((x * j) - (z * k))))
	elif y2 <= 3.15e+134:
		tmp = t_9
	elif y2 <= 3.4e+169:
		tmp = t_3 + ((((t * y2) - (y * y3)) * t_6) - ((z * y3) * t_10))
	elif y2 <= 6.8e+204:
		tmp = t_8 + (y1 * (y4 * t_1))
	elif (y2 <= 5e+261) or not (y2 <= 2.8e+294):
		tmp = y2 * (((k * t_2) + (x * t_10)) + (t * t_6))
	else:
		tmp = y0 * ((y2 * y5) * -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(Float64(k * y2) - Float64(j * y3))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_3 = Float64(t_1 * t_2)
	t_4 = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / y5))))))
	t_5 = Float64(Float64(x * y2) - Float64(z * y3))
	t_6 = Float64(Float64(a * y5) - Float64(c * y4))
	t_7 = Float64(Float64(z * k) - Float64(x * j))
	t_8 = 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)))
	t_9 = Float64(t_3 + t_8)
	t_10 = Float64(Float64(c * y0) - Float64(a * y1))
	tmp = 0.0
	if (y2 <= -4.5e+106)
		tmp = t_4;
	elseif (y2 <= -0.00045)
		tmp = 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)))));
	elseif (y2 <= -1.9e-92)
		tmp = Float64(t_3 - Float64(y1 * Float64(Float64(a * t_5) + Float64(i * t_7))));
	elseif (y2 <= -2.45e-205)
		tmp = t_4;
	elseif (y2 <= 2.7e-92)
		tmp = t_9;
	elseif (y2 <= 1.95e+56)
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_5) - Float64(y5 * t_1)) - Float64(b * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (y2 <= 3.15e+134)
		tmp = t_9;
	elseif (y2 <= 3.4e+169)
		tmp = Float64(t_3 + Float64(Float64(Float64(Float64(t * y2) - Float64(y * y3)) * t_6) - Float64(Float64(z * y3) * t_10)));
	elseif (y2 <= 6.8e+204)
		tmp = Float64(t_8 + Float64(y1 * Float64(y4 * t_1)));
	elseif ((y2 <= 5e+261) || !(y2 <= 2.8e+294))
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_2) + Float64(x * t_10)) + Float64(t * t_6)));
	else
		tmp = Float64(y0 * Float64(Float64(y2 * y5) * Float64(-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 = (k * y2) - (j * y3);
	t_2 = (y1 * y4) - (y0 * y5);
	t_3 = t_1 * t_2;
	t_4 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	t_5 = (x * y2) - (z * y3);
	t_6 = (a * y5) - (c * y4);
	t_7 = (z * k) - (x * j);
	t_8 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_7));
	t_9 = t_3 + t_8;
	t_10 = (c * y0) - (a * y1);
	tmp = 0.0;
	if (y2 <= -4.5e+106)
		tmp = t_4;
	elseif (y2 <= -0.00045)
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	elseif (y2 <= -1.9e-92)
		tmp = t_3 - (y1 * ((a * t_5) + (i * t_7)));
	elseif (y2 <= -2.45e-205)
		tmp = t_4;
	elseif (y2 <= 2.7e-92)
		tmp = t_9;
	elseif (y2 <= 1.95e+56)
		tmp = y0 * (((c * t_5) - (y5 * t_1)) - (b * ((x * j) - (z * k))));
	elseif (y2 <= 3.15e+134)
		tmp = t_9;
	elseif (y2 <= 3.4e+169)
		tmp = t_3 + ((((t * y2) - (y * y3)) * t_6) - ((z * y3) * t_10));
	elseif (y2 <= 6.8e+204)
		tmp = t_8 + (y1 * (y4 * t_1));
	elseif ((y2 <= 5e+261) || ~((y2 <= 2.8e+294)))
		tmp = y2 * (((k * t_2) + (x * t_10)) + (t * t_6));
	else
		tmp = y0 * ((y2 * y5) * -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[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(t$95$1 * t$95$2), $MachinePrecision]}, Block[{t$95$4 = N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = 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]}, Block[{t$95$9 = N[(t$95$3 + t$95$8), $MachinePrecision]}, Block[{t$95$10 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -4.5e+106], t$95$4, If[LessEqual[y2, -0.00045], 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], If[LessEqual[y2, -1.9e-92], N[(t$95$3 - N[(y1 * N[(N[(a * t$95$5), $MachinePrecision] + N[(i * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.45e-205], t$95$4, If[LessEqual[y2, 2.7e-92], t$95$9, If[LessEqual[y2, 1.95e+56], N[(y0 * N[(N[(N[(c * t$95$5), $MachinePrecision] - N[(y5 * t$95$1), $MachinePrecision]), $MachinePrecision] - N[(b * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.15e+134], t$95$9, If[LessEqual[y2, 3.4e+169], N[(t$95$3 + N[(N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * t$95$6), $MachinePrecision] - N[(N[(z * y3), $MachinePrecision] * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.8e+204], N[(t$95$8 + N[(y1 * N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y2, 5e+261], N[Not[LessEqual[y2, 2.8e+294]], $MachinePrecision]], N[(y2 * N[(N[(N[(k * t$95$2), $MachinePrecision] + N[(x * t$95$10), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(N[(y2 * y5), $MachinePrecision] * (-k)), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y2 < -4.4999999999999997e106 or -1.9e-92 < y2 < -2.4499999999999999e-205

   1. Initial program 24.7%

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

   3. Taylor expanded in x around inf 36.2%

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

   4. Taylor expanded in y0 around inf 48.8%

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

   5. Taylor expanded in y5 around -inf 56.8%

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

      1. associate-*r* 56.8%

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

      2. neg-mul-1 56.8%

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

      3. +-commutative 56.8%

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

      4. mul-1-neg 56.8%

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

      5. unsub-neg 56.8%

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

      6. associate-/l* 59.4%

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

      7. *-commutative 59.4%

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

      8. *-commutative 59.4%

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

   7. Simplified 59.4%

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

   if -4.4999999999999997e106 < y2 < -4.4999999999999999e-4

   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 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 -4.4999999999999999e-4 < y2 < -1.9e-92

   1. Initial program 35.3%

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

   3. Taylor expanded in y1 around -inf 88.5%

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

      1. associate-*r* 88.5%

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

      2. neg-mul-1 88.5%

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

      3. *-commutative 88.5%

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

      4. *-commutative 88.5%

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

      5. *-commutative 88.5%

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

   5. Simplified 88.5%

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

   if -2.4499999999999999e-205 < y2 < 2.69999999999999995e-92 or 1.94999999999999997e56 < y2 < 3.1500000000000001e134

   1. Initial program 29.7%

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

   3. Taylor expanded in b around inf 53.1%

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

   if 2.69999999999999995e-92 < y2 < 1.94999999999999997e56

   1. Initial program 20.2%

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

   3. Taylor expanded in y0 around inf 72.4%

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

      1. +-commutative 72.4%

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

      2. mul-1-neg 72.4%

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

      3. unsub-neg 72.4%

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

      4. *-commutative 72.4%

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

      5. *-commutative 72.4%

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

      6. *-commutative 72.4%

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

      7. *-commutative 72.4%

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

   5. Simplified 72.4%

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

   if 3.1500000000000001e134 < y2 < 3.40000000000000028e169

   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 y3 around inf 87.3%

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

      1. mul-1-neg 87.3%

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

      2. associate-*r* 87.3%

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

      3. *-commutative 87.3%

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

   5. Simplified 87.3%

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

   if 3.40000000000000028e169 < y2 < 6.8000000000000002e204

   1. Initial program 44.1%

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

   3. Taylor expanded in b around inf 57.1%

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

   4. Taylor expanded in y5 around 0 85.7%

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

   if 6.8000000000000002e204 < y2 < 5.0000000000000001e261 or 2.79999999999999979e294 < y2

   1. Initial program 50.6%

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

   3. Taylor expanded in y2 around inf 99.4%

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

   if 5.0000000000000001e261 < y2 < 2.79999999999999979e294

   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 x around inf 33.3%

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

   4. Taylor expanded in y0 around inf 55.6%

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

   5. Taylor expanded in k around inf 89.4%

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

      1. mul-1-neg 89.4%

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

   7. Simplified 89.4%

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

4. Final simplification 64.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -4.5 \cdot 10^{+106}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -0.00045:\\ \;\;\;\;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}\;y2 \leq -1.9 \cdot 10^{-92}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y1 \cdot \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -2.45 \cdot 10^{-205}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.7 \cdot 10^{-92}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq 1.95 \cdot 10^{+56}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 3.15 \cdot 10^{+134}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq 3.4 \cdot 10^{+169}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \left(\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right) - \left(z \cdot y3\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 6.8 \cdot 10^{+204}:\\ \;\;\;\;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) + y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 5 \cdot 10^{+261} \lor \neg \left(y2 \leq 2.8 \cdot 10^{+294}\right):\\ \;\;\;\;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{else}:\\ \;\;\;\;y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 8: 40.9% accurate, 1.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := y0 \cdot y5 - y1 \cdot y4\\ t_3 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y \cdot y3 - t \cdot y2\\ t_6 := y4 \cdot \left(\left(y1 \cdot t\_4 + b \cdot t\_1\right) + c \cdot t\_5\right)\\ \mathbf{if}\;y4 \leq -2.7 \cdot 10^{+197}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y4 \leq -6.5 \cdot 10^{-108}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y4 \leq -7.5 \cdot 10^{-167}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t\_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right) + y1 \cdot \left(y4 \cdot t\_4\right)\\ \mathbf{elif}\;y4 \leq -2.2 \cdot 10^{-174}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{-205}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.75 \cdot 10^{-286}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y4 \leq 1.12 \cdot 10^{-190}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 2.4 \cdot 10^{-27}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot t\_2\right)\right)\\ \mathbf{elif}\;y4 \leq 2.8 \cdot 10^{+60}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y4 \leq 1.1 \cdot 10^{+205}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y4 \leq 3.2 \cdot 10^{+252}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot t\_2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot t\_5\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2 (- (* y0 y5) (* y1 y4)))
        (t_3
         (*
          y0
          (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) y5)))))))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y y3) (* t y2)))
        (t_6 (* y4 (+ (+ (* y1 t_4) (* b t_1)) (* c t_5)))))
   (if (<= y4 -2.7e+197)
     t_6
     (if (<= y4 -6.5e-108)
       t_3
       (if (<= y4 -7.5e-167)
         (+
          (*
           b
           (+
            (+ (* a (- (* x y) (* z t))) (* y4 t_1))
            (* y0 (- (* z k) (* x j)))))
          (* y1 (* y4 t_4)))
         (if (<= y4 -2.2e-174)
           (* x (* y0 (- (* c y2) (* b j))))
           (if (<= y4 -1e-205)
             (*
              y2
              (+
               (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
               (* t (- (* a y5) (* c y4)))))
             (if (<= y4 1.75e-286)
               t_3
               (if (<= y4 1.12e-190)
                 (*
                  y5
                  (+
                   (* a (- (* t y2) (* y y3)))
                   (+ (* i (- (* y k) (* t j))) (* y0 (- (* j y3) (* k y2))))))
                 (if (<= y4 2.4e-27)
                   (*
                    k
                    (-
                     (* z (- (* b y0) (* i y1)))
                     (+ (* y (- (* b y4) (* i y5))) (* y2 t_2))))
                   (if (<= y4 2.8e+60)
                     t_3
                     (if (<= y4 1.1e+205)
                       t_6
                       (if (<= y4 3.2e+252)
                         (*
                          y3
                          (+
                           (* y (- (* c y4) (* a y5)))
                           (+ (* z (- (* a y1) (* c y0))) (* j t_2))))
                         (* c (* y4 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 = (t * j) - (y * k);
	double t_2 = (y0 * y5) - (y1 * y4);
	double t_3 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y * y3) - (t * y2);
	double t_6 = y4 * (((y1 * t_4) + (b * t_1)) + (c * t_5));
	double tmp;
	if (y4 <= -2.7e+197) {
		tmp = t_6;
	} else if (y4 <= -6.5e-108) {
		tmp = t_3;
	} else if (y4 <= -7.5e-167) {
		tmp = (b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))) + (y1 * (y4 * t_4));
	} else if (y4 <= -2.2e-174) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (y4 <= -1e-205) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= 1.75e-286) {
		tmp = t_3;
	} else if (y4 <= 1.12e-190) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	} else if (y4 <= 2.4e-27) {
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_2)));
	} else if (y4 <= 2.8e+60) {
		tmp = t_3;
	} else if (y4 <= 1.1e+205) {
		tmp = t_6;
	} else if (y4 <= 3.2e+252) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_2)));
	} else {
		tmp = c * (y4 * 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 = (t * j) - (y * k)
    t_2 = (y0 * y5) - (y1 * y4)
    t_3 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
    t_4 = (k * y2) - (j * y3)
    t_5 = (y * y3) - (t * y2)
    t_6 = y4 * (((y1 * t_4) + (b * t_1)) + (c * t_5))
    if (y4 <= (-2.7d+197)) then
        tmp = t_6
    else if (y4 <= (-6.5d-108)) then
        tmp = t_3
    else if (y4 <= (-7.5d-167)) then
        tmp = (b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))) + (y1 * (y4 * t_4))
    else if (y4 <= (-2.2d-174)) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else if (y4 <= (-1d-205)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (y4 <= 1.75d-286) then
        tmp = t_3
    else if (y4 <= 1.12d-190) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))))
    else if (y4 <= 2.4d-27) then
        tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_2)))
    else if (y4 <= 2.8d+60) then
        tmp = t_3
    else if (y4 <= 1.1d+205) then
        tmp = t_6
    else if (y4 <= 3.2d+252) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_2)))
    else
        tmp = c * (y4 * 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 = (t * j) - (y * k);
	double t_2 = (y0 * y5) - (y1 * y4);
	double t_3 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y * y3) - (t * y2);
	double t_6 = y4 * (((y1 * t_4) + (b * t_1)) + (c * t_5));
	double tmp;
	if (y4 <= -2.7e+197) {
		tmp = t_6;
	} else if (y4 <= -6.5e-108) {
		tmp = t_3;
	} else if (y4 <= -7.5e-167) {
		tmp = (b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))) + (y1 * (y4 * t_4));
	} else if (y4 <= -2.2e-174) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (y4 <= -1e-205) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= 1.75e-286) {
		tmp = t_3;
	} else if (y4 <= 1.12e-190) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	} else if (y4 <= 2.4e-27) {
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_2)));
	} else if (y4 <= 2.8e+60) {
		tmp = t_3;
	} else if (y4 <= 1.1e+205) {
		tmp = t_6;
	} else if (y4 <= 3.2e+252) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_2)));
	} else {
		tmp = c * (y4 * 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 = (t * j) - (y * k)
	t_2 = (y0 * y5) - (y1 * y4)
	t_3 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
	t_4 = (k * y2) - (j * y3)
	t_5 = (y * y3) - (t * y2)
	t_6 = y4 * (((y1 * t_4) + (b * t_1)) + (c * t_5))
	tmp = 0
	if y4 <= -2.7e+197:
		tmp = t_6
	elif y4 <= -6.5e-108:
		tmp = t_3
	elif y4 <= -7.5e-167:
		tmp = (b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))) + (y1 * (y4 * t_4))
	elif y4 <= -2.2e-174:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	elif y4 <= -1e-205:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif y4 <= 1.75e-286:
		tmp = t_3
	elif y4 <= 1.12e-190:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))))
	elif y4 <= 2.4e-27:
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_2)))
	elif y4 <= 2.8e+60:
		tmp = t_3
	elif y4 <= 1.1e+205:
		tmp = t_6
	elif y4 <= 3.2e+252:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_2)))
	else:
		tmp = c * (y4 * 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(t * j) - Float64(y * k))
	t_2 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_3 = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / y5))))))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y * y3) - Float64(t * y2))
	t_6 = Float64(y4 * Float64(Float64(Float64(y1 * t_4) + Float64(b * t_1)) + Float64(c * t_5)))
	tmp = 0.0
	if (y4 <= -2.7e+197)
		tmp = t_6;
	elseif (y4 <= -6.5e-108)
		tmp = t_3;
	elseif (y4 <= -7.5e-167)
		tmp = Float64(Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_1)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))) + Float64(y1 * Float64(y4 * t_4)));
	elseif (y4 <= -2.2e-174)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (y4 <= -1e-205)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= 1.75e-286)
		tmp = t_3;
	elseif (y4 <= 1.12e-190)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (y4 <= 2.4e-27)
		tmp = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) - Float64(Float64(y * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y2 * t_2))));
	elseif (y4 <= 2.8e+60)
		tmp = t_3;
	elseif (y4 <= 1.1e+205)
		tmp = t_6;
	elseif (y4 <= 3.2e+252)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(j * t_2))));
	else
		tmp = Float64(c * Float64(y4 * 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 = (t * j) - (y * k);
	t_2 = (y0 * y5) - (y1 * y4);
	t_3 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	t_4 = (k * y2) - (j * y3);
	t_5 = (y * y3) - (t * y2);
	t_6 = y4 * (((y1 * t_4) + (b * t_1)) + (c * t_5));
	tmp = 0.0;
	if (y4 <= -2.7e+197)
		tmp = t_6;
	elseif (y4 <= -6.5e-108)
		tmp = t_3;
	elseif (y4 <= -7.5e-167)
		tmp = (b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))) + (y1 * (y4 * t_4));
	elseif (y4 <= -2.2e-174)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	elseif (y4 <= -1e-205)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (y4 <= 1.75e-286)
		tmp = t_3;
	elseif (y4 <= 1.12e-190)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	elseif (y4 <= 2.4e-27)
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_2)));
	elseif (y4 <= 2.8e+60)
		tmp = t_3;
	elseif (y4 <= 1.1e+205)
		tmp = t_6;
	elseif (y4 <= 3.2e+252)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_2)));
	else
		tmp = c * (y4 * 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[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y4 * N[(N[(N[(y1 * t$95$4), $MachinePrecision] + N[(b * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.7e+197], t$95$6, If[LessEqual[y4, -6.5e-108], t$95$3, If[LessEqual[y4, -7.5e-167], N[(N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(y4 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.2e-174], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1e-205], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.75e-286], t$95$3, If[LessEqual[y4, 1.12e-190], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.4e-27], N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.8e+60], t$95$3, If[LessEqual[y4, 1.1e+205], t$95$6, If[LessEqual[y4, 3.2e+252], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * t$95$5), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -2.7e197 or 2.8e60 < y4 < 1.0999999999999999e205

   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 y4 around inf 61.2%

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

   if -2.7e197 < y4 < -6.5000000000000002e-108 or -1e-205 < y4 < 1.74999999999999994e-286 or 2.40000000000000002e-27 < y4 < 2.8e60

   1. Initial program 28.7%

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

   3. Taylor expanded in x around inf 49.4%

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

   4. Taylor expanded in y0 around inf 49.1%

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

   5. Taylor expanded in y5 around -inf 56.8%

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

      1. associate-*r* 56.8%

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

      2. neg-mul-1 56.8%

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

      3. +-commutative 56.8%

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

      4. mul-1-neg 56.8%

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

      5. unsub-neg 56.8%

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

      6. associate-/l* 59.7%

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

      7. *-commutative 59.7%

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

      8. *-commutative 59.7%

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

   7. Simplified 59.7%

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

   if -6.5000000000000002e-108 < y4 < -7.5000000000000007e-167

   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 b around inf 83.9%

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

   4. Taylor expanded in y5 around 0 87.5%

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

   if -7.5000000000000007e-167 < y4 < -2.20000000000000022e-174

   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 x around inf 66.7%

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

   4. Taylor expanded in y0 around inf 66.7%

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

   5. Taylor expanded in y5 around 0 100.0%

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

   if -2.20000000000000022e-174 < y4 < -1e-205

   1. Initial program 29.2%

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

   3. Taylor expanded in y2 around inf 86.5%

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

   if 1.74999999999999994e-286 < y4 < 1.12000000000000005e-190

   1. Initial program 38.8%

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

   3. Taylor expanded in y5 around -inf 72.7%

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

   if 1.12000000000000005e-190 < y4 < 2.40000000000000002e-27

   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 63.1%

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

      1. +-commutative 63.1%

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

      2. mul-1-neg 63.1%

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

      3. unsub-neg 63.1%

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

      4. *-commutative 63.1%

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

      5. associate-*r* 63.1%

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

      6. neg-mul-1 63.1%

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

   5. Simplified 63.1%

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

   if 1.0999999999999999e205 < y4 < 3.2000000000000002e252

   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 y3 around -inf 78.3%

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

   if 3.2000000000000002e252 < y4

   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 y4 around inf 30.8%

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

      1. *-commutative 30.8%

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

   5. Simplified 30.8%

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

   6. Taylor expanded in c around inf 61.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 61.6%

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

   8. Simplified 61.6%

      \[\leadsto \color{blue}{-c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 64.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.7 \cdot 10^{+197}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -6.5 \cdot 10^{-108}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -7.5 \cdot 10^{-167}:\\ \;\;\;\;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) + y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq -2.2 \cdot 10^{-174}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{-205}:\\ \;\;\;\;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 1.75 \cdot 10^{-286}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.12 \cdot 10^{-190}:\\ \;\;\;\;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}\;y4 \leq 2.4 \cdot 10^{-27}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 2.8 \cdot 10^{+60}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.1 \cdot 10^{+205}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 3.2 \cdot 10^{+252}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 41.5% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot y5 - y1 \cdot y4\\ t_2 := y \cdot y3 - t \cdot y2\\ t_3 := y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot t\_2\right)\\ t_4 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_5 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{if}\;y4 \leq -4.2 \cdot 10^{+197}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y4 \leq -8 \cdot 10^{-175}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y4 \leq -1.3 \cdot 10^{-205}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y4 \leq 5.6 \cdot 10^{-286}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y4 \leq 7.5 \cdot 10^{-169}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y4 \leq 1.2 \cdot 10^{-27}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot t\_1\right)\right)\\ \mathbf{elif}\;y4 \leq 1.9 \cdot 10^{+58}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y4 \leq 1.4 \cdot 10^{+206}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y4 \leq 6.5 \cdot 10^{+252}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot t\_1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot t\_2\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y0 y5) (* y1 y4)))
        (t_2 (- (* y y3) (* t y2)))
        (t_3
         (*
          y4
          (+
           (+ (* y1 (- (* k y2) (* j y3))) (* b (- (* t j) (* y k))))
           (* c t_2))))
        (t_4
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
           (* t (- (* a y5) (* c y4))))))
        (t_5
         (*
          y0
          (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) y5))))))))
   (if (<= y4 -4.2e+197)
     t_3
     (if (<= y4 -8e-175)
       t_5
       (if (<= y4 -1.3e-205)
         t_4
         (if (<= y4 5.6e-286)
           t_5
           (if (<= y4 7.5e-169)
             t_4
             (if (<= y4 1.2e-27)
               (*
                k
                (-
                 (* z (- (* b y0) (* i y1)))
                 (+ (* y (- (* b y4) (* i y5))) (* y2 t_1))))
               (if (<= y4 1.9e+58)
                 t_5
                 (if (<= y4 1.4e+206)
                   t_3
                   (if (<= y4 6.5e+252)
                     (*
                      y3
                      (+
                       (* y (- (* c y4) (* a y5)))
                       (+ (* z (- (* a y1) (* c y0))) (* j t_1))))
                     (* c (* y4 t_2)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = (y * y3) - (t * y2);
	double t_3 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_2));
	double t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double t_5 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double tmp;
	if (y4 <= -4.2e+197) {
		tmp = t_3;
	} else if (y4 <= -8e-175) {
		tmp = t_5;
	} else if (y4 <= -1.3e-205) {
		tmp = t_4;
	} else if (y4 <= 5.6e-286) {
		tmp = t_5;
	} else if (y4 <= 7.5e-169) {
		tmp = t_4;
	} else if (y4 <= 1.2e-27) {
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_1)));
	} else if (y4 <= 1.9e+58) {
		tmp = t_5;
	} else if (y4 <= 1.4e+206) {
		tmp = t_3;
	} else if (y4 <= 6.5e+252) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_1)));
	} else {
		tmp = c * (y4 * 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) :: tmp
    t_1 = (y0 * y5) - (y1 * y4)
    t_2 = (y * y3) - (t * y2)
    t_3 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_2))
    t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    t_5 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
    if (y4 <= (-4.2d+197)) then
        tmp = t_3
    else if (y4 <= (-8d-175)) then
        tmp = t_5
    else if (y4 <= (-1.3d-205)) then
        tmp = t_4
    else if (y4 <= 5.6d-286) then
        tmp = t_5
    else if (y4 <= 7.5d-169) then
        tmp = t_4
    else if (y4 <= 1.2d-27) then
        tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_1)))
    else if (y4 <= 1.9d+58) then
        tmp = t_5
    else if (y4 <= 1.4d+206) then
        tmp = t_3
    else if (y4 <= 6.5d+252) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_1)))
    else
        tmp = c * (y4 * 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 = (y0 * y5) - (y1 * y4);
	double t_2 = (y * y3) - (t * y2);
	double t_3 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_2));
	double t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double t_5 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double tmp;
	if (y4 <= -4.2e+197) {
		tmp = t_3;
	} else if (y4 <= -8e-175) {
		tmp = t_5;
	} else if (y4 <= -1.3e-205) {
		tmp = t_4;
	} else if (y4 <= 5.6e-286) {
		tmp = t_5;
	} else if (y4 <= 7.5e-169) {
		tmp = t_4;
	} else if (y4 <= 1.2e-27) {
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_1)));
	} else if (y4 <= 1.9e+58) {
		tmp = t_5;
	} else if (y4 <= 1.4e+206) {
		tmp = t_3;
	} else if (y4 <= 6.5e+252) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_1)));
	} else {
		tmp = c * (y4 * 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 = (y0 * y5) - (y1 * y4)
	t_2 = (y * y3) - (t * y2)
	t_3 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_2))
	t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	t_5 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
	tmp = 0
	if y4 <= -4.2e+197:
		tmp = t_3
	elif y4 <= -8e-175:
		tmp = t_5
	elif y4 <= -1.3e-205:
		tmp = t_4
	elif y4 <= 5.6e-286:
		tmp = t_5
	elif y4 <= 7.5e-169:
		tmp = t_4
	elif y4 <= 1.2e-27:
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_1)))
	elif y4 <= 1.9e+58:
		tmp = t_5
	elif y4 <= 1.4e+206:
		tmp = t_3
	elif y4 <= 6.5e+252:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_1)))
	else:
		tmp = c * (y4 * 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(y0 * y5) - Float64(y1 * y4))
	t_2 = Float64(Float64(y * y3) - Float64(t * y2))
	t_3 = Float64(y4 * Float64(Float64(Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(b * Float64(Float64(t * j) - Float64(y * k)))) + Float64(c * t_2)))
	t_4 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	t_5 = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / y5))))))
	tmp = 0.0
	if (y4 <= -4.2e+197)
		tmp = t_3;
	elseif (y4 <= -8e-175)
		tmp = t_5;
	elseif (y4 <= -1.3e-205)
		tmp = t_4;
	elseif (y4 <= 5.6e-286)
		tmp = t_5;
	elseif (y4 <= 7.5e-169)
		tmp = t_4;
	elseif (y4 <= 1.2e-27)
		tmp = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) - Float64(Float64(y * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y2 * t_1))));
	elseif (y4 <= 1.9e+58)
		tmp = t_5;
	elseif (y4 <= 1.4e+206)
		tmp = t_3;
	elseif (y4 <= 6.5e+252)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(j * t_1))));
	else
		tmp = Float64(c * Float64(y4 * 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 = (y0 * y5) - (y1 * y4);
	t_2 = (y * y3) - (t * y2);
	t_3 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_2));
	t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	t_5 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	tmp = 0.0;
	if (y4 <= -4.2e+197)
		tmp = t_3;
	elseif (y4 <= -8e-175)
		tmp = t_5;
	elseif (y4 <= -1.3e-205)
		tmp = t_4;
	elseif (y4 <= 5.6e-286)
		tmp = t_5;
	elseif (y4 <= 7.5e-169)
		tmp = t_4;
	elseif (y4 <= 1.2e-27)
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_1)));
	elseif (y4 <= 1.9e+58)
		tmp = t_5;
	elseif (y4 <= 1.4e+206)
		tmp = t_3;
	elseif (y4 <= 6.5e+252)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_1)));
	else
		tmp = c * (y4 * 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[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y4 * N[(N[(N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -4.2e+197], t$95$3, If[LessEqual[y4, -8e-175], t$95$5, If[LessEqual[y4, -1.3e-205], t$95$4, If[LessEqual[y4, 5.6e-286], t$95$5, If[LessEqual[y4, 7.5e-169], t$95$4, If[LessEqual[y4, 1.2e-27], N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.9e+58], t$95$5, If[LessEqual[y4, 1.4e+206], t$95$3, If[LessEqual[y4, 6.5e+252], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * t$95$2), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y4 < -4.20000000000000013e197 or 1.8999999999999999e58 < y4 < 1.3999999999999999e206

   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 y4 around inf 61.2%

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

   if -4.20000000000000013e197 < y4 < -8e-175 or -1.2999999999999999e-205 < y4 < 5.6e-286 or 1.20000000000000001e-27 < y4 < 1.8999999999999999e58

   1. Initial program 29.2%

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

   3. Taylor expanded in x around inf 47.8%

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

   4. Taylor expanded in y0 around inf 47.6%

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

   5. Taylor expanded in y5 around -inf 56.1%

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

      1. associate-*r* 56.1%

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

      2. neg-mul-1 56.1%

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

      3. +-commutative 56.1%

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

      4. mul-1-neg 56.1%

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

      5. unsub-neg 56.1%

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

      6. associate-/l* 58.7%

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

      7. *-commutative 58.7%

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

      8. *-commutative 58.7%

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

   7. Simplified 58.7%

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

   if -8e-175 < y4 < -1.2999999999999999e-205 or 5.6e-286 < y4 < 7.49999999999999978e-169

   1. Initial program 33.4%

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

   3. Taylor expanded in y2 around inf 61.0%

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

   if 7.49999999999999978e-169 < y4 < 1.20000000000000001e-27

   1. Initial program 26.9%

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

   3. Taylor expanded in k around inf 69.6%

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

      1. +-commutative 69.6%

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

      2. mul-1-neg 69.6%

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

      3. unsub-neg 69.6%

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

      4. *-commutative 69.6%

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

      5. associate-*r* 69.6%

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

      6. neg-mul-1 69.6%

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

   5. Simplified 69.6%

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

   if 1.3999999999999999e206 < y4 < 6.5e252

   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 y3 around -inf 78.3%

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

   if 6.5e252 < y4

   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 y4 around inf 30.8%

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

      1. *-commutative 30.8%

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

   5. Simplified 30.8%

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

   6. Taylor expanded in c around inf 61.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 61.6%

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

   8. Simplified 61.6%

      \[\leadsto \color{blue}{-c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 61.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -4.2 \cdot 10^{+197}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -8 \cdot 10^{-175}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -1.3 \cdot 10^{-205}:\\ \;\;\;\;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 5.6 \cdot 10^{-286}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 7.5 \cdot 10^{-169}:\\ \;\;\;\;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 1.2 \cdot 10^{-27}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.9 \cdot 10^{+58}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.4 \cdot 10^{+206}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 6.5 \cdot 10^{+252}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 41.4% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot y3 - t \cdot y2\\ t_2 := y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot t\_1\right)\\ t_3 := y0 \cdot y5 - y1 \cdot y4\\ t_4 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{if}\;y4 \leq -8 \cdot 10^{+199}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq -4.4 \cdot 10^{-176}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y4 \leq -9.6 \cdot 10^{-206}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.8 \cdot 10^{-286}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y4 \leq 1.2 \cdot 10^{-194}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(i \cdot \left(y \cdot k - t \cdot j\right) + y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 4.15 \cdot 10^{-26}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot t\_3\right)\right)\\ \mathbf{elif}\;y4 \leq 2.1 \cdot 10^{+59}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y4 \leq 4.5 \cdot 10^{+205}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 5.3 \cdot 10^{+252}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot t\_3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot t\_1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y y3) (* t y2)))
        (t_2
         (*
          y4
          (+
           (+ (* y1 (- (* k y2) (* j y3))) (* b (- (* t j) (* y k))))
           (* c t_1))))
        (t_3 (- (* y0 y5) (* y1 y4)))
        (t_4
         (*
          y0
          (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) y5))))))))
   (if (<= y4 -8e+199)
     t_2
     (if (<= y4 -4.4e-176)
       t_4
       (if (<= y4 -9.6e-206)
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x (- (* c y0) (* a y1))))
           (* t (- (* a y5) (* c y4)))))
         (if (<= y4 1.8e-286)
           t_4
           (if (<= y4 1.2e-194)
             (*
              y5
              (+
               (* a (- (* t y2) (* y y3)))
               (+ (* i (- (* y k) (* t j))) (* y0 (- (* j y3) (* k y2))))))
             (if (<= y4 4.15e-26)
               (*
                k
                (-
                 (* z (- (* b y0) (* i y1)))
                 (+ (* y (- (* b y4) (* i y5))) (* y2 t_3))))
               (if (<= y4 2.1e+59)
                 t_4
                 (if (<= y4 4.5e+205)
                   t_2
                   (if (<= y4 5.3e+252)
                     (*
                      y3
                      (+
                       (* y (- (* c y4) (* a y5)))
                       (+ (* z (- (* a y1) (* c y0))) (* j t_3))))
                     (* 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 * y3) - (t * y2);
	double t_2 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_1));
	double t_3 = (y0 * y5) - (y1 * y4);
	double t_4 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double tmp;
	if (y4 <= -8e+199) {
		tmp = t_2;
	} else if (y4 <= -4.4e-176) {
		tmp = t_4;
	} else if (y4 <= -9.6e-206) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= 1.8e-286) {
		tmp = t_4;
	} else if (y4 <= 1.2e-194) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	} else if (y4 <= 4.15e-26) {
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_3)));
	} else if (y4 <= 2.1e+59) {
		tmp = t_4;
	} else if (y4 <= 4.5e+205) {
		tmp = t_2;
	} else if (y4 <= 5.3e+252) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_3)));
	} else {
		tmp = c * (y4 * t_1);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (y * y3) - (t * y2)
    t_2 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_1))
    t_3 = (y0 * y5) - (y1 * y4)
    t_4 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
    if (y4 <= (-8d+199)) then
        tmp = t_2
    else if (y4 <= (-4.4d-176)) then
        tmp = t_4
    else if (y4 <= (-9.6d-206)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    else if (y4 <= 1.8d-286) then
        tmp = t_4
    else if (y4 <= 1.2d-194) then
        tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))))
    else if (y4 <= 4.15d-26) then
        tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_3)))
    else if (y4 <= 2.1d+59) then
        tmp = t_4
    else if (y4 <= 4.5d+205) then
        tmp = t_2
    else if (y4 <= 5.3d+252) then
        tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_3)))
    else
        tmp = c * (y4 * 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 * y3) - (t * y2);
	double t_2 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_1));
	double t_3 = (y0 * y5) - (y1 * y4);
	double t_4 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double tmp;
	if (y4 <= -8e+199) {
		tmp = t_2;
	} else if (y4 <= -4.4e-176) {
		tmp = t_4;
	} else if (y4 <= -9.6e-206) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	} else if (y4 <= 1.8e-286) {
		tmp = t_4;
	} else if (y4 <= 1.2e-194) {
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	} else if (y4 <= 4.15e-26) {
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_3)));
	} else if (y4 <= 2.1e+59) {
		tmp = t_4;
	} else if (y4 <= 4.5e+205) {
		tmp = t_2;
	} else if (y4 <= 5.3e+252) {
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_3)));
	} else {
		tmp = c * (y4 * 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 * y3) - (t * y2)
	t_2 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_1))
	t_3 = (y0 * y5) - (y1 * y4)
	t_4 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
	tmp = 0
	if y4 <= -8e+199:
		tmp = t_2
	elif y4 <= -4.4e-176:
		tmp = t_4
	elif y4 <= -9.6e-206:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	elif y4 <= 1.8e-286:
		tmp = t_4
	elif y4 <= 1.2e-194:
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))))
	elif y4 <= 4.15e-26:
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_3)))
	elif y4 <= 2.1e+59:
		tmp = t_4
	elif y4 <= 4.5e+205:
		tmp = t_2
	elif y4 <= 5.3e+252:
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_3)))
	else:
		tmp = c * (y4 * t_1)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y * y3) - Float64(t * y2))
	t_2 = Float64(y4 * Float64(Float64(Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(b * Float64(Float64(t * j) - Float64(y * k)))) + Float64(c * t_1)))
	t_3 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_4 = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / y5))))))
	tmp = 0.0
	if (y4 <= -8e+199)
		tmp = t_2;
	elseif (y4 <= -4.4e-176)
		tmp = t_4;
	elseif (y4 <= -9.6e-206)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y4 <= 1.8e-286)
		tmp = t_4;
	elseif (y4 <= 1.2e-194)
		tmp = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(i * Float64(Float64(y * k) - Float64(t * j))) + Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (y4 <= 4.15e-26)
		tmp = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) - Float64(Float64(y * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y2 * t_3))));
	elseif (y4 <= 2.1e+59)
		tmp = t_4;
	elseif (y4 <= 4.5e+205)
		tmp = t_2;
	elseif (y4 <= 5.3e+252)
		tmp = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(z * Float64(Float64(a * y1) - Float64(c * y0))) + Float64(j * t_3))));
	else
		tmp = Float64(c * Float64(y4 * 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 * y3) - (t * y2);
	t_2 = y4 * (((y1 * ((k * y2) - (j * y3))) + (b * ((t * j) - (y * k)))) + (c * t_1));
	t_3 = (y0 * y5) - (y1 * y4);
	t_4 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	tmp = 0.0;
	if (y4 <= -8e+199)
		tmp = t_2;
	elseif (y4 <= -4.4e-176)
		tmp = t_4;
	elseif (y4 <= -9.6e-206)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	elseif (y4 <= 1.8e-286)
		tmp = t_4;
	elseif (y4 <= 1.2e-194)
		tmp = y5 * ((a * ((t * y2) - (y * y3))) + ((i * ((y * k) - (t * j))) + (y0 * ((j * y3) - (k * y2)))));
	elseif (y4 <= 4.15e-26)
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * t_3)));
	elseif (y4 <= 2.1e+59)
		tmp = t_4;
	elseif (y4 <= 4.5e+205)
		tmp = t_2;
	elseif (y4 <= 5.3e+252)
		tmp = y3 * ((y * ((c * y4) - (a * y5))) + ((z * ((a * y1) - (c * y0))) + (j * t_3)));
	else
		tmp = c * (y4 * t_1);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y4 * N[(N[(N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -8e+199], t$95$2, If[LessEqual[y4, -4.4e-176], t$95$4, If[LessEqual[y4, -9.6e-206], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.8e-286], t$95$4, If[LessEqual[y4, 1.2e-194], N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4.15e-26], N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.1e+59], t$95$4, If[LessEqual[y4, 4.5e+205], t$95$2, If[LessEqual[y4, 5.3e+252], N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y4 < -8.00000000000000078e199 or 2.09999999999999984e59 < y4 < 4.50000000000000035e205

   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 y4 around inf 61.2%

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

   if -8.00000000000000078e199 < y4 < -4.3999999999999997e-176 or -9.5999999999999998e-206 < y4 < 1.80000000000000007e-286 or 4.1499999999999997e-26 < y4 < 2.09999999999999984e59

   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 x around inf 48.2%

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

   4. Taylor expanded in y0 around inf 47.1%

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

   5. Taylor expanded in y5 around -inf 55.7%

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

      1. associate-*r* 55.7%

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

      2. neg-mul-1 55.7%

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

      3. +-commutative 55.7%

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

      4. mul-1-neg 55.7%

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

      5. unsub-neg 55.7%

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

      6. associate-/l* 58.3%

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

      7. *-commutative 58.3%

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

      8. *-commutative 58.3%

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

   7. Simplified 58.3%

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

   if -4.3999999999999997e-176 < y4 < -9.5999999999999998e-206

   1. Initial program 29.2%

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

   3. Taylor expanded in y2 around inf 86.5%

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

   if 1.80000000000000007e-286 < y4 < 1.2e-194

   1. Initial program 38.8%

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

   3. Taylor expanded in y5 around -inf 72.7%

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

   if 1.2e-194 < y4 < 4.1499999999999997e-26

   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 63.1%

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

      1. +-commutative 63.1%

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

      2. mul-1-neg 63.1%

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

      3. unsub-neg 63.1%

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

      4. *-commutative 63.1%

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

      5. associate-*r* 63.1%

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

      6. neg-mul-1 63.1%

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

   5. Simplified 63.1%

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

   if 4.50000000000000035e205 < y4 < 5.30000000000000028e252

   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 y3 around -inf 78.3%

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

   if 5.30000000000000028e252 < y4

   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 y4 around inf 30.8%

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

      1. *-commutative 30.8%

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

   5. Simplified 30.8%

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

   6. Taylor expanded in c around inf 61.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 61.6%

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

   8. Simplified 61.6%

      \[\leadsto \color{blue}{-c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 62.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -8 \cdot 10^{+199}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -4.4 \cdot 10^{-176}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -9.6 \cdot 10^{-206}:\\ \;\;\;\;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 1.8 \cdot 10^{-286}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.2 \cdot 10^{-194}:\\ \;\;\;\;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}\;y4 \leq 4.15 \cdot 10^{-26}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 2.1 \cdot 10^{+59}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 4.5 \cdot 10^{+205}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 5.3 \cdot 10^{+252}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(z \cdot \left(a \cdot y1 - c \cdot y0\right) + j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 30.8% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;k \leq -3.5 \cdot 10^{+199}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1 \cdot 10^{+16}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -3.2 \cdot 10^{-90}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.65 \cdot 10^{-133}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -1.7 \cdot 10^{-282}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 6.8 \cdot 10^{-218}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.3 \cdot 10^{-191}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 2 \cdot 10^{-104}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 4.2 \cdot 10^{-30}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 6.5 \cdot 10^{+59}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 5.8 \cdot 10^{+147}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.2 \cdot 10^{+185}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0))))))
   (if (<= k -3.5e+199)
     (* y0 (* y5 (- (* k y2))))
     (if (<= k -1e+16)
       t_1
       (if (<= k -3.2e-90)
         (* c (* y4 (- (* y y3) (* t y2))))
         (if (<= k -1.65e-133)
           (* b (* y (- (* x a) (* k y4))))
           (if (<= k -1.7e-282)
             (* x (* y0 (- (* c y2) (* b j))))
             (if (<= k 6.8e-218)
               (* j (* y5 (- (* y0 y3) (* t i))))
               (if (<= k 1.3e-191)
                 (* t (* c (- (* y2 y4))))
                 (if (<= k 2e-104)
                   t_1
                   (if (<= k 4.2e-30)
                     (* a (* y1 (- (* z y3) (* x y2))))
                     (if (<= k 6.5e+59)
                       (* t (* y2 (- (* a y5) (* c y4))))
                       (if (<= k 5.8e+147)
                         (* i (* y1 (- (* x j) (* z k))))
                         (if (<= k 1.2e+185)
                           (* y1 (* y3 (- (* z a) (* j y4))))
                           (* k (* y2 (- (* y1 y4) (* y0 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 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -3.5e+199) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -1e+16) {
		tmp = t_1;
	} else if (k <= -3.2e-90) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (k <= -1.65e-133) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (k <= -1.7e-282) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (k <= 6.8e-218) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (k <= 1.3e-191) {
		tmp = t * (c * -(y2 * y4));
	} else if (k <= 2e-104) {
		tmp = t_1;
	} else if (k <= 4.2e-30) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (k <= 6.5e+59) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 5.8e+147) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 1.2e+185) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = b * (x * ((y * a) - (j * y0)))
    if (k <= (-3.5d+199)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (k <= (-1d+16)) then
        tmp = t_1
    else if (k <= (-3.2d-90)) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (k <= (-1.65d-133)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (k <= (-1.7d-282)) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else if (k <= 6.8d-218) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (k <= 1.3d-191) then
        tmp = t * (c * -(y2 * y4))
    else if (k <= 2d-104) then
        tmp = t_1
    else if (k <= 4.2d-30) then
        tmp = a * (y1 * ((z * y3) - (x * y2)))
    else if (k <= 6.5d+59) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (k <= 5.8d+147) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (k <= 1.2d+185) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -3.5e+199) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -1e+16) {
		tmp = t_1;
	} else if (k <= -3.2e-90) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (k <= -1.65e-133) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (k <= -1.7e-282) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (k <= 6.8e-218) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (k <= 1.3e-191) {
		tmp = t * (c * -(y2 * y4));
	} else if (k <= 2e-104) {
		tmp = t_1;
	} else if (k <= 4.2e-30) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (k <= 6.5e+59) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 5.8e+147) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 1.2e+185) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	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 * a) - (j * y0)))
	tmp = 0
	if k <= -3.5e+199:
		tmp = y0 * (y5 * -(k * y2))
	elif k <= -1e+16:
		tmp = t_1
	elif k <= -3.2e-90:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif k <= -1.65e-133:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif k <= -1.7e-282:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	elif k <= 6.8e-218:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif k <= 1.3e-191:
		tmp = t * (c * -(y2 * y4))
	elif k <= 2e-104:
		tmp = t_1
	elif k <= 4.2e-30:
		tmp = a * (y1 * ((z * y3) - (x * y2)))
	elif k <= 6.5e+59:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif k <= 5.8e+147:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif k <= 1.2e+185:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (k <= -3.5e+199)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (k <= -1e+16)
		tmp = t_1;
	elseif (k <= -3.2e-90)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (k <= -1.65e-133)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (k <= -1.7e-282)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (k <= 6.8e-218)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (k <= 1.3e-191)
		tmp = Float64(t * Float64(c * Float64(-Float64(y2 * y4))));
	elseif (k <= 2e-104)
		tmp = t_1;
	elseif (k <= 4.2e-30)
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))));
	elseif (k <= 6.5e+59)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (k <= 5.8e+147)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (k <= 1.2e+185)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * 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 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (k <= -3.5e+199)
		tmp = y0 * (y5 * -(k * y2));
	elseif (k <= -1e+16)
		tmp = t_1;
	elseif (k <= -3.2e-90)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (k <= -1.65e-133)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (k <= -1.7e-282)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	elseif (k <= 6.8e-218)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (k <= 1.3e-191)
		tmp = t * (c * -(y2 * y4));
	elseif (k <= 2e-104)
		tmp = t_1;
	elseif (k <= 4.2e-30)
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	elseif (k <= 6.5e+59)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (k <= 5.8e+147)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (k <= 1.2e+185)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -3.5e+199], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1e+16], t$95$1, If[LessEqual[k, -3.2e-90], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.65e-133], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.7e-282], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 6.8e-218], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.3e-191], N[(t * N[(c * (-N[(y2 * y4), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2e-104], t$95$1, If[LessEqual[k, 4.2e-30], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 6.5e+59], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 5.8e+147], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.2e+185], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if k < -3.49999999999999981e199

   1. Initial program 12.5%

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

   3. Taylor expanded in x around inf 40.8%

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

   4. Taylor expanded in y0 around inf 44.4%

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

   5. Taylor expanded in y5 around -inf 50.4%

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

      1. associate-*r* 50.4%

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

      2. neg-mul-1 50.4%

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

      3. +-commutative 50.4%

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

      4. mul-1-neg 50.4%

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

      5. unsub-neg 50.4%

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

      6. associate-/l* 50.4%

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

      7. *-commutative 50.4%

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

      8. *-commutative 50.4%

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

   7. Simplified 50.4%

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

   8. Taylor expanded in k around inf 41.9%

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

      1. mul-1-neg 41.9%

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

      2. associate-*r* 50.9%

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

      3. distribute-rgt-neg-in 50.9%

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

      4. *-commutative 50.9%

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

   10. Simplified 50.9%

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

   if -3.49999999999999981e199 < k < -1e16 or 1.29999999999999993e-191 < k < 1.99999999999999985e-104

   1. Initial program 35.3%

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

   3. Taylor expanded in x around inf 49.4%

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

   4. Taylor expanded in b around inf 48.3%

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

   if -1e16 < k < -3.20000000000000007e-90

   1. Initial program 25.1%

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

   3. Taylor expanded in y4 around inf 38.4%

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

      1. *-commutative 38.4%

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

   5. Simplified 38.4%

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

   6. Taylor expanded in c around inf 51.2%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 51.2%

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

   8. Simplified 51.2%

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

   if -3.20000000000000007e-90 < k < -1.65000000000000005e-133

   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 20.0%

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

   4. Taylor expanded in b around inf 100.0%

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

      1. +-commutative 100.0%

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

      2. mul-1-neg 100.0%

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

      3. sub-neg 100.0%

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

   6. Simplified 100.0%

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

   if -1.65000000000000005e-133 < k < -1.69999999999999999e-282

   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 x around inf 34.0%

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

   4. Taylor expanded in y0 around inf 53.7%

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

   5. Taylor expanded in y5 around 0 50.5%

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

   if -1.69999999999999999e-282 < k < 6.79999999999999971e-218

   1. Initial program 30.1%

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

   3. Taylor expanded in j around inf 50.8%

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

      1. +-commutative 50.8%

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

      2. mul-1-neg 50.8%

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

      3. unsub-neg 50.8%

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

      4. *-commutative 50.8%

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

   5. Simplified 50.8%

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

   6. Taylor expanded in y5 around -inf 51.4%

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

      1. mul-1-neg 51.4%

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

   8. Simplified 51.4%

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

   if 6.79999999999999971e-218 < k < 1.29999999999999993e-191

   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 y4 around inf 50.1%

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

      1. *-commutative 50.1%

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

   5. Simplified 50.1%

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

   6. Taylor expanded in t around inf 66.8%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 67.1%

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

   8. Simplified 67.1%

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

   9. Taylor expanded in c around inf 68.4%

      \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   10. Step-by-step derivation

       1. mul-1-neg 68.4%

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

       2. distribute-rgt-neg-in 68.4%

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

       3. distribute-rgt-neg-in 68.4%

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

   11. Simplified 68.4%

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

   if 1.99999999999999985e-104 < k < 4.2000000000000004e-30

   1. Initial program 35.0%

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

   3. Taylor expanded in y1 around -inf 55.3%

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

      1. associate-*r* 55.3%

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

      2. neg-mul-1 55.3%

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

      3. +-commutative 55.3%

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

      4. mul-1-neg 55.3%

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

      5. unsub-neg 55.3%

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

      6. *-commutative 55.3%

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

      7. *-commutative 55.3%

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

      8. *-commutative 55.3%

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

      9. *-commutative 55.3%

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

   5. Simplified 55.3%

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

   6. Taylor expanded in a around inf 55.9%

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

      1. mul-1-neg 55.9%

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

   8. Simplified 55.9%

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

   if 4.2000000000000004e-30 < k < 6.50000000000000021e59

   1. Initial program 25.4%

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

   3. Taylor expanded in y4 around inf 44.7%

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

      1. *-commutative 44.7%

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

   5. Simplified 44.7%

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

   6. Taylor expanded in t around inf 44.2%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 44.2%

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

   8. Simplified 44.2%

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

   9. Taylor expanded in y2 around inf 57.0%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 57.0%

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

   11. Simplified 57.0%

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

   if 6.50000000000000021e59 < k < 5.7999999999999997e147

   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 y1 around -inf 56.3%

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

      1. associate-*r* 56.3%

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

      2. neg-mul-1 56.3%

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

      3. +-commutative 56.3%

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

      4. mul-1-neg 56.3%

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

      5. unsub-neg 56.3%

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

      6. *-commutative 56.3%

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

      7. *-commutative 56.3%

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

      8. *-commutative 56.3%

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

      9. *-commutative 56.3%

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

   5. Simplified 56.3%

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

   6. Taylor expanded in i around -inf 56.8%

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

   if 5.7999999999999997e147 < k < 1.19999999999999995e185

   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 y1 around -inf 87.5%

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

      1. associate-*r* 87.5%

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

      2. neg-mul-1 87.5%

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

      3. +-commutative 87.5%

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

      4. mul-1-neg 87.5%

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

      5. unsub-neg 87.5%

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

      6. *-commutative 87.5%

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

      7. *-commutative 87.5%

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

      8. *-commutative 87.5%

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

      9. *-commutative 87.5%

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

   5. Simplified 87.5%

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

   6. Taylor expanded in y3 around -inf 75.6%

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

   if 1.19999999999999995e185 < k

   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 x around inf 43.0%

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

   4. Taylor expanded in k around inf 54.3%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 54.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -3.5 \cdot 10^{+199}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1 \cdot 10^{+16}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -3.2 \cdot 10^{-90}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.65 \cdot 10^{-133}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -1.7 \cdot 10^{-282}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 6.8 \cdot 10^{-218}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.3 \cdot 10^{-191}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 2 \cdot 10^{-104}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 4.2 \cdot 10^{-30}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 6.5 \cdot 10^{+59}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 5.8 \cdot 10^{+147}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.2 \cdot 10^{+185}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 35.4% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot y2 - j \cdot y3\\ t_2 := c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_3 := y1 \cdot y4 - y0 \cdot y5\\ \mathbf{if}\;y0 \leq -2.5 \cdot 10^{+100}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k - x \cdot j\right) - y5 \cdot t\_1\right)\\ \mathbf{elif}\;y0 \leq -0.00078:\\ \;\;\;\;y2 \cdot \left(k \cdot t\_3 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq -2 \cdot 10^{-119}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y0 \leq -3 \cdot 10^{-253}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 2 \cdot 10^{-264}:\\ \;\;\;\;k \cdot \left(y2 \cdot t\_3 + b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 2.6 \cdot 10^{-130}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y0 \leq 8.4 \cdot 10^{-75}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y0 \leq 4.2 \cdot 10^{-50}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y0 \leq 5.3 \cdot 10^{+100}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y0 \leq 2.3 \cdot 10^{+181}:\\ \;\;\;\;t\_1 \cdot t\_3\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* k y2) (* j y3)))
        (t_2 (* c (* y4 (- (* y y3) (* t y2)))))
        (t_3 (- (* y1 y4) (* y0 y5))))
   (if (<= y0 -2.5e+100)
     (* y0 (- (* b (- (* z k) (* x j))) (* y5 t_1)))
     (if (<= y0 -0.00078)
       (* y2 (+ (* k t_3) (* x (- (* c y0) (* a y1)))))
       (if (<= y0 -2e-119)
         (* x (* y (- (* a b) (* c i))))
         (if (<= y0 -3e-253)
           (* t (+ (* y4 (* b j)) (* y2 (- (* a y5) (* c y4)))))
           (if (<= y0 2e-264)
             (* k (+ (* y2 t_3) (* b (- (* z y0) (* y y4)))))
             (if (<= y0 2.6e-130)
               t_2
               (if (<= y0 8.4e-75)
                 (* i (* y1 (- (* x j) (* z k))))
                 (if (<= y0 4.2e-50)
                   t_2
                   (if (<= y0 5.3e+100)
                     (* c (* x (- (* y0 y2) (* y i))))
                     (if (<= y0 2.3e+181)
                       (* t_1 t_3)
                       (*
                        y0
                        (+
                         (* y5 (- (* j y3) (* k y2)))
                         (* x (- (* c y2) (* b j)))))))))))))))))

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 = (k * y2) - (j * y3);
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double t_3 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (y0 <= -2.5e+100) {
		tmp = y0 * ((b * ((z * k) - (x * j))) - (y5 * t_1));
	} else if (y0 <= -0.00078) {
		tmp = y2 * ((k * t_3) + (x * ((c * y0) - (a * y1))));
	} else if (y0 <= -2e-119) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y0 <= -3e-253) {
		tmp = t * ((y4 * (b * j)) + (y2 * ((a * y5) - (c * y4))));
	} else if (y0 <= 2e-264) {
		tmp = k * ((y2 * t_3) + (b * ((z * y0) - (y * y4))));
	} else if (y0 <= 2.6e-130) {
		tmp = t_2;
	} else if (y0 <= 8.4e-75) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y0 <= 4.2e-50) {
		tmp = t_2;
	} else if (y0 <= 5.3e+100) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y0 <= 2.3e+181) {
		tmp = t_1 * t_3;
	} else {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (x * ((c * y2) - (b * j))));
	}
	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 = (k * y2) - (j * y3)
    t_2 = c * (y4 * ((y * y3) - (t * y2)))
    t_3 = (y1 * y4) - (y0 * y5)
    if (y0 <= (-2.5d+100)) then
        tmp = y0 * ((b * ((z * k) - (x * j))) - (y5 * t_1))
    else if (y0 <= (-0.00078d0)) then
        tmp = y2 * ((k * t_3) + (x * ((c * y0) - (a * y1))))
    else if (y0 <= (-2d-119)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y0 <= (-3d-253)) then
        tmp = t * ((y4 * (b * j)) + (y2 * ((a * y5) - (c * y4))))
    else if (y0 <= 2d-264) then
        tmp = k * ((y2 * t_3) + (b * ((z * y0) - (y * y4))))
    else if (y0 <= 2.6d-130) then
        tmp = t_2
    else if (y0 <= 8.4d-75) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (y0 <= 4.2d-50) then
        tmp = t_2
    else if (y0 <= 5.3d+100) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (y0 <= 2.3d+181) then
        tmp = t_1 * t_3
    else
        tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (x * ((c * y2) - (b * j))))
    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 = (k * y2) - (j * y3);
	double t_2 = c * (y4 * ((y * y3) - (t * y2)));
	double t_3 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (y0 <= -2.5e+100) {
		tmp = y0 * ((b * ((z * k) - (x * j))) - (y5 * t_1));
	} else if (y0 <= -0.00078) {
		tmp = y2 * ((k * t_3) + (x * ((c * y0) - (a * y1))));
	} else if (y0 <= -2e-119) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y0 <= -3e-253) {
		tmp = t * ((y4 * (b * j)) + (y2 * ((a * y5) - (c * y4))));
	} else if (y0 <= 2e-264) {
		tmp = k * ((y2 * t_3) + (b * ((z * y0) - (y * y4))));
	} else if (y0 <= 2.6e-130) {
		tmp = t_2;
	} else if (y0 <= 8.4e-75) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y0 <= 4.2e-50) {
		tmp = t_2;
	} else if (y0 <= 5.3e+100) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (y0 <= 2.3e+181) {
		tmp = t_1 * t_3;
	} else {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (x * ((c * y2) - (b * j))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (k * y2) - (j * y3)
	t_2 = c * (y4 * ((y * y3) - (t * y2)))
	t_3 = (y1 * y4) - (y0 * y5)
	tmp = 0
	if y0 <= -2.5e+100:
		tmp = y0 * ((b * ((z * k) - (x * j))) - (y5 * t_1))
	elif y0 <= -0.00078:
		tmp = y2 * ((k * t_3) + (x * ((c * y0) - (a * y1))))
	elif y0 <= -2e-119:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y0 <= -3e-253:
		tmp = t * ((y4 * (b * j)) + (y2 * ((a * y5) - (c * y4))))
	elif y0 <= 2e-264:
		tmp = k * ((y2 * t_3) + (b * ((z * y0) - (y * y4))))
	elif y0 <= 2.6e-130:
		tmp = t_2
	elif y0 <= 8.4e-75:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif y0 <= 4.2e-50:
		tmp = t_2
	elif y0 <= 5.3e+100:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif y0 <= 2.3e+181:
		tmp = t_1 * t_3
	else:
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (x * ((c * y2) - (b * j))))
	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(k * y2) - Float64(j * y3))
	t_2 = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))))
	t_3 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	tmp = 0.0
	if (y0 <= -2.5e+100)
		tmp = Float64(y0 * Float64(Float64(b * Float64(Float64(z * k) - Float64(x * j))) - Float64(y5 * t_1)));
	elseif (y0 <= -0.00078)
		tmp = Float64(y2 * Float64(Float64(k * t_3) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))));
	elseif (y0 <= -2e-119)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y0 <= -3e-253)
		tmp = Float64(t * Float64(Float64(y4 * Float64(b * j)) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (y0 <= 2e-264)
		tmp = Float64(k * Float64(Float64(y2 * t_3) + Float64(b * Float64(Float64(z * y0) - Float64(y * y4)))));
	elseif (y0 <= 2.6e-130)
		tmp = t_2;
	elseif (y0 <= 8.4e-75)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (y0 <= 4.2e-50)
		tmp = t_2;
	elseif (y0 <= 5.3e+100)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (y0 <= 2.3e+181)
		tmp = Float64(t_1 * t_3);
	else
		tmp = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(x * Float64(Float64(c * y2) - Float64(b * j)))));
	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 = (k * y2) - (j * y3);
	t_2 = c * (y4 * ((y * y3) - (t * y2)));
	t_3 = (y1 * y4) - (y0 * y5);
	tmp = 0.0;
	if (y0 <= -2.5e+100)
		tmp = y0 * ((b * ((z * k) - (x * j))) - (y5 * t_1));
	elseif (y0 <= -0.00078)
		tmp = y2 * ((k * t_3) + (x * ((c * y0) - (a * y1))));
	elseif (y0 <= -2e-119)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y0 <= -3e-253)
		tmp = t * ((y4 * (b * j)) + (y2 * ((a * y5) - (c * y4))));
	elseif (y0 <= 2e-264)
		tmp = k * ((y2 * t_3) + (b * ((z * y0) - (y * y4))));
	elseif (y0 <= 2.6e-130)
		tmp = t_2;
	elseif (y0 <= 8.4e-75)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (y0 <= 4.2e-50)
		tmp = t_2;
	elseif (y0 <= 5.3e+100)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (y0 <= 2.3e+181)
		tmp = t_1 * t_3;
	else
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (x * ((c * y2) - (b * j))));
	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[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -2.5e+100], N[(y0 * N[(N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y5 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -0.00078], N[(y2 * N[(N[(k * t$95$3), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -2e-119], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -3e-253], N[(t * N[(N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 2e-264], N[(k * N[(N[(y2 * t$95$3), $MachinePrecision] + N[(b * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 2.6e-130], t$95$2, If[LessEqual[y0, 8.4e-75], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 4.2e-50], t$95$2, If[LessEqual[y0, 5.3e+100], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 2.3e+181], N[(t$95$1 * t$95$3), $MachinePrecision], N[(y0 * N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y0 < -2.4999999999999999e100

   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 b around inf 43.0%

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

   4. Taylor expanded in y0 around inf 76.4%

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

   if -2.4999999999999999e100 < y0 < -7.79999999999999986e-4

   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 x around inf 61.9%

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

   4. Taylor expanded in y2 around inf 76.7%

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

   if -7.79999999999999986e-4 < y0 < -2.00000000000000003e-119

   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 x around inf 43.2%

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

   4. Taylor expanded in y around inf 53.7%

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

   if -2.00000000000000003e-119 < y0 < -3.0000000000000002e-253

   1. Initial program 32.6%

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

   3. Taylor expanded in y4 around inf 29.3%

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

      1. *-commutative 29.3%

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

   5. Simplified 29.3%

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

   6. Taylor expanded in t around inf 40.1%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 40.1%

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

   8. Simplified 40.1%

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

   if -3.0000000000000002e-253 < y0 < 2e-264

   1. Initial program 25.1%

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

   3. Taylor expanded in b around inf 40.7%

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

   4. Taylor expanded in k around -inf 51.4%

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

      1. associate-*r* 51.4%

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

      2. neg-mul-1 51.4%

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

      3. +-commutative 51.4%

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

      4. mul-1-neg 51.4%

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

      5. *-commutative 51.4%

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

      6. unsub-neg 51.4%

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

      7. *-commutative 51.4%

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

      8. *-commutative 51.4%

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

   6. Simplified 51.4%

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

   if 2e-264 < y0 < 2.6000000000000001e-130 or 8.4000000000000004e-75 < y0 < 4.2000000000000002e-50

   1. Initial program 43.1%

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

   3. Taylor expanded in y4 around inf 43.4%

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

      1. *-commutative 43.4%

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

   5. Simplified 43.4%

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

   6. Taylor expanded in c around inf 58.3%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 58.3%

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

   8. Simplified 58.3%

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

   if 2.6000000000000001e-130 < y0 < 8.4000000000000004e-75

   1. Initial program 19.0%

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

   3. Taylor expanded in y1 around -inf 71.7%

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

      1. associate-*r* 71.7%

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

      2. neg-mul-1 71.7%

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

      3. +-commutative 71.7%

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

      4. mul-1-neg 71.7%

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

      5. unsub-neg 71.7%

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

      6. *-commutative 71.7%

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

      7. *-commutative 71.7%

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

      8. *-commutative 71.7%

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

      9. *-commutative 71.7%

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

   5. Simplified 71.7%

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

   6. Taylor expanded in i around -inf 51.4%

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

   if 4.2000000000000002e-50 < y0 < 5.2999999999999998e100

   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 x around inf 39.5%

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

   4. Taylor expanded in c around inf 61.7%

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

   if 5.2999999999999998e100 < y0 < 2.2999999999999999e181

   1. Initial program 12.9%

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

   3. Taylor expanded in x around inf 13.7%

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

   4. Taylor expanded in x around 0 58.0%

      \[\leadsto \color{blue}{\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

   if 2.2999999999999999e181 < y0

   1. Initial program 26.3%

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

   3. Taylor expanded in x around inf 31.6%

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

   4. Taylor expanded in y0 around inf 64.0%

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

4. Final simplification 59.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -2.5 \cdot 10^{+100}:\\ \;\;\;\;y0 \cdot \left(b \cdot \left(z \cdot k - x \cdot j\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;y0 \leq -0.00078:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq -2 \cdot 10^{-119}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y0 \leq -3 \cdot 10^{-253}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 2 \cdot 10^{-264}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 2.6 \cdot 10^{-130}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 8.4 \cdot 10^{-75}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y0 \leq 4.2 \cdot 10^{-50}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 5.3 \cdot 10^{+100}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;y0 \leq 2.3 \cdot 10^{+181}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 41.7% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := y2 \cdot \left(\left(k \cdot t\_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_3 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y \cdot y3 - t \cdot y2\\ t_6 := y4 \cdot \left(\left(y1 \cdot t\_4 + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot t\_5\right)\\ \mathbf{if}\;y4 \leq -3.3 \cdot 10^{+198}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y4 \leq -4.7 \cdot 10^{-176}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{-205}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 6.3 \cdot 10^{-286}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y4 \leq 4.8 \cdot 10^{-169}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq 1.06 \cdot 10^{-25}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 8 \cdot 10^{+54}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y4 \leq 1.7 \cdot 10^{+216}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y4 \leq 3.2 \cdot 10^{+252}:\\ \;\;\;\;t\_4 \cdot t\_1\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot t\_5\right)\\ \end{array} \end{array} \]

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
         (*
          y2
          (+
           (+ (* k t_1) (* x (- (* c y0) (* a y1))))
           (* t (- (* a y5) (* c y4))))))
        (t_3
         (*
          y0
          (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) y5)))))))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y y3) (* t y2)))
        (t_6 (* y4 (+ (+ (* y1 t_4) (* b (- (* t j) (* y k)))) (* c t_5)))))
   (if (<= y4 -3.3e+198)
     t_6
     (if (<= y4 -4.7e-176)
       t_3
       (if (<= y4 -1e-205)
         t_2
         (if (<= y4 6.3e-286)
           t_3
           (if (<= y4 4.8e-169)
             t_2
             (if (<= y4 1.06e-25)
               (*
                k
                (-
                 (* z (- (* b y0) (* i y1)))
                 (+
                  (* y (- (* b y4) (* i y5)))
                  (* y2 (- (* y0 y5) (* y1 y4))))))
               (if (<= y4 8e+54)
                 t_3
                 (if (<= y4 1.7e+216)
                   t_6
                   (if (<= y4 3.2e+252) (* t_4 t_1) (* c (* y4 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 = (y1 * y4) - (y0 * y5);
	double t_2 = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double t_3 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y * y3) - (t * y2);
	double t_6 = y4 * (((y1 * t_4) + (b * ((t * j) - (y * k)))) + (c * t_5));
	double tmp;
	if (y4 <= -3.3e+198) {
		tmp = t_6;
	} else if (y4 <= -4.7e-176) {
		tmp = t_3;
	} else if (y4 <= -1e-205) {
		tmp = t_2;
	} else if (y4 <= 6.3e-286) {
		tmp = t_3;
	} else if (y4 <= 4.8e-169) {
		tmp = t_2;
	} else if (y4 <= 1.06e-25) {
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * ((y0 * y5) - (y1 * y4)))));
	} else if (y4 <= 8e+54) {
		tmp = t_3;
	} else if (y4 <= 1.7e+216) {
		tmp = t_6;
	} else if (y4 <= 3.2e+252) {
		tmp = t_4 * t_1;
	} else {
		tmp = c * (y4 * 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 = (y1 * y4) - (y0 * y5)
    t_2 = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
    t_3 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
    t_4 = (k * y2) - (j * y3)
    t_5 = (y * y3) - (t * y2)
    t_6 = y4 * (((y1 * t_4) + (b * ((t * j) - (y * k)))) + (c * t_5))
    if (y4 <= (-3.3d+198)) then
        tmp = t_6
    else if (y4 <= (-4.7d-176)) then
        tmp = t_3
    else if (y4 <= (-1d-205)) then
        tmp = t_2
    else if (y4 <= 6.3d-286) then
        tmp = t_3
    else if (y4 <= 4.8d-169) then
        tmp = t_2
    else if (y4 <= 1.06d-25) then
        tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * ((y0 * y5) - (y1 * y4)))))
    else if (y4 <= 8d+54) then
        tmp = t_3
    else if (y4 <= 1.7d+216) then
        tmp = t_6
    else if (y4 <= 3.2d+252) then
        tmp = t_4 * t_1
    else
        tmp = c * (y4 * 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 = (y1 * y4) - (y0 * y5);
	double t_2 = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	double t_3 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y * y3) - (t * y2);
	double t_6 = y4 * (((y1 * t_4) + (b * ((t * j) - (y * k)))) + (c * t_5));
	double tmp;
	if (y4 <= -3.3e+198) {
		tmp = t_6;
	} else if (y4 <= -4.7e-176) {
		tmp = t_3;
	} else if (y4 <= -1e-205) {
		tmp = t_2;
	} else if (y4 <= 6.3e-286) {
		tmp = t_3;
	} else if (y4 <= 4.8e-169) {
		tmp = t_2;
	} else if (y4 <= 1.06e-25) {
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * ((y0 * y5) - (y1 * y4)))));
	} else if (y4 <= 8e+54) {
		tmp = t_3;
	} else if (y4 <= 1.7e+216) {
		tmp = t_6;
	} else if (y4 <= 3.2e+252) {
		tmp = t_4 * t_1;
	} else {
		tmp = c * (y4 * 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 = (y1 * y4) - (y0 * y5)
	t_2 = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))))
	t_3 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
	t_4 = (k * y2) - (j * y3)
	t_5 = (y * y3) - (t * y2)
	t_6 = y4 * (((y1 * t_4) + (b * ((t * j) - (y * k)))) + (c * t_5))
	tmp = 0
	if y4 <= -3.3e+198:
		tmp = t_6
	elif y4 <= -4.7e-176:
		tmp = t_3
	elif y4 <= -1e-205:
		tmp = t_2
	elif y4 <= 6.3e-286:
		tmp = t_3
	elif y4 <= 4.8e-169:
		tmp = t_2
	elif y4 <= 1.06e-25:
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * ((y0 * y5) - (y1 * y4)))))
	elif y4 <= 8e+54:
		tmp = t_3
	elif y4 <= 1.7e+216:
		tmp = t_6
	elif y4 <= 3.2e+252:
		tmp = t_4 * t_1
	else:
		tmp = c * (y4 * 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(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	t_3 = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / y5))))))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y * y3) - Float64(t * y2))
	t_6 = Float64(y4 * Float64(Float64(Float64(y1 * t_4) + Float64(b * Float64(Float64(t * j) - Float64(y * k)))) + Float64(c * t_5)))
	tmp = 0.0
	if (y4 <= -3.3e+198)
		tmp = t_6;
	elseif (y4 <= -4.7e-176)
		tmp = t_3;
	elseif (y4 <= -1e-205)
		tmp = t_2;
	elseif (y4 <= 6.3e-286)
		tmp = t_3;
	elseif (y4 <= 4.8e-169)
		tmp = t_2;
	elseif (y4 <= 1.06e-25)
		tmp = Float64(k * Float64(Float64(z * Float64(Float64(b * y0) - Float64(i * y1))) - Float64(Float64(y * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y2 * Float64(Float64(y0 * y5) - Float64(y1 * y4))))));
	elseif (y4 <= 8e+54)
		tmp = t_3;
	elseif (y4 <= 1.7e+216)
		tmp = t_6;
	elseif (y4 <= 3.2e+252)
		tmp = Float64(t_4 * t_1);
	else
		tmp = Float64(c * Float64(y4 * 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 = (y1 * y4) - (y0 * y5);
	t_2 = y2 * (((k * t_1) + (x * ((c * y0) - (a * y1)))) + (t * ((a * y5) - (c * y4))));
	t_3 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	t_4 = (k * y2) - (j * y3);
	t_5 = (y * y3) - (t * y2);
	t_6 = y4 * (((y1 * t_4) + (b * ((t * j) - (y * k)))) + (c * t_5));
	tmp = 0.0;
	if (y4 <= -3.3e+198)
		tmp = t_6;
	elseif (y4 <= -4.7e-176)
		tmp = t_3;
	elseif (y4 <= -1e-205)
		tmp = t_2;
	elseif (y4 <= 6.3e-286)
		tmp = t_3;
	elseif (y4 <= 4.8e-169)
		tmp = t_2;
	elseif (y4 <= 1.06e-25)
		tmp = k * ((z * ((b * y0) - (i * y1))) - ((y * ((b * y4) - (i * y5))) + (y2 * ((y0 * y5) - (y1 * y4)))));
	elseif (y4 <= 8e+54)
		tmp = t_3;
	elseif (y4 <= 1.7e+216)
		tmp = t_6;
	elseif (y4 <= 3.2e+252)
		tmp = t_4 * t_1;
	else
		tmp = c * (y4 * 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[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y4 * N[(N[(N[(y1 * t$95$4), $MachinePrecision] + N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -3.3e+198], t$95$6, If[LessEqual[y4, -4.7e-176], t$95$3, If[LessEqual[y4, -1e-205], t$95$2, If[LessEqual[y4, 6.3e-286], t$95$3, If[LessEqual[y4, 4.8e-169], t$95$2, If[LessEqual[y4, 1.06e-25], N[(k * N[(N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 8e+54], t$95$3, If[LessEqual[y4, 1.7e+216], t$95$6, If[LessEqual[y4, 3.2e+252], N[(t$95$4 * t$95$1), $MachinePrecision], N[(c * N[(y4 * t$95$5), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y4 < -3.29999999999999994e198 or 8.0000000000000006e54 < y4 < 1.70000000000000013e216

   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 y4 around inf 60.9%

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

   if -3.29999999999999994e198 < y4 < -4.69999999999999984e-176 or -1e-205 < y4 < 6.2999999999999999e-286 or 1.05999999999999998e-25 < y4 < 8.0000000000000006e54

   1. Initial program 29.2%

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

   3. Taylor expanded in x around inf 47.8%

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

   4. Taylor expanded in y0 around inf 47.6%

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

   5. Taylor expanded in y5 around -inf 56.1%

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

      1. associate-*r* 56.1%

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

      2. neg-mul-1 56.1%

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

      3. +-commutative 56.1%

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

      4. mul-1-neg 56.1%

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

      5. unsub-neg 56.1%

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

      6. associate-/l* 58.7%

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

      7. *-commutative 58.7%

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

      8. *-commutative 58.7%

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

   7. Simplified 58.7%

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

   if -4.69999999999999984e-176 < y4 < -1e-205 or 6.2999999999999999e-286 < y4 < 4.80000000000000021e-169

   1. Initial program 33.4%

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

   3. Taylor expanded in y2 around inf 61.0%

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

   if 4.80000000000000021e-169 < y4 < 1.05999999999999998e-25

   1. Initial program 26.9%

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

   3. Taylor expanded in k around inf 69.6%

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

      1. +-commutative 69.6%

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

      2. mul-1-neg 69.6%

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

      3. unsub-neg 69.6%

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

      4. *-commutative 69.6%

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

      5. associate-*r* 69.6%

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

      6. neg-mul-1 69.6%

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

   5. Simplified 69.6%

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

   if 1.70000000000000013e216 < y4 < 3.2000000000000002e252

   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 x around inf 42.9%

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

   4. Taylor expanded in x around 0 85.8%

      \[\leadsto \color{blue}{\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

   if 3.2000000000000002e252 < y4

   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 y4 around inf 30.8%

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

      1. *-commutative 30.8%

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

   5. Simplified 30.8%

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

   6. Taylor expanded in c around inf 61.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 61.6%

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

   8. Simplified 61.6%

      \[\leadsto \color{blue}{-c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 61.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -3.3 \cdot 10^{+198}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -4.7 \cdot 10^{-176}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{-205}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 6.3 \cdot 10^{-286}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 4.8 \cdot 10^{-169}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y4 \leq 1.06 \cdot 10^{-25}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y \cdot \left(b \cdot y4 - i \cdot y5\right) + y2 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 8 \cdot 10^{+54}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.7 \cdot 10^{+216}:\\ \;\;\;\;y4 \cdot \left(\left(y1 \cdot \left(k \cdot y2 - j \cdot y3\right) + b \cdot \left(t \cdot j - y \cdot k\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq 3.2 \cdot 10^{+252}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 31.7% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y2 - b \cdot j\\ t_2 := y0 \cdot \left(x \cdot t\_1\right)\\ t_3 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;x \leq -2.4 \cdot 10^{+249}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -5.9 \cdot 10^{+159}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x \leq -3.4 \cdot 10^{+105}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -80000000000000:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{-242}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;x \leq 4.7 \cdot 10^{-32}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;x \leq 0.72:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{+30}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;x \leq 1.02 \cdot 10^{+153}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 4.8 \cdot 10^{+175}:\\ \;\;\;\;x \cdot \left(y0 \cdot t\_1\right)\\ \mathbf{elif}\;x \leq 6 \cdot 10^{+195}:\\ \;\;\;\;t\_3\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y2) (* b j)))
        (t_2 (* y0 (* x t_1)))
        (t_3 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= x -2.4e+249)
     (* a (* y1 (- (* z y3) (* x y2))))
     (if (<= x -5.9e+159)
       t_2
       (if (<= x -3.4e+105)
         (* a (* y (- (* x b) (* y3 y5))))
         (if (<= x -80000000000000.0)
           t_2
           (if (<= x 2.9e-242)
             (* b (* z (- (* k y0) (* t a))))
             (if (<= x 4.7e-32)
               (* y1 (* z (- (* a y3) (* i k))))
               (if (<= x 0.72)
                 (* b (* x (- (* y a) (* j y0))))
                 (if (<= x 2.5e+30)
                   t_3
                   (if (<= x 1.02e+153)
                     (* x (* y (- (* a b) (* c i))))
                     (if (<= x 4.8e+175)
                       (* x (* y0 t_1))
                       (if (<= x 6e+195) t_3 t_2)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y2) - (b * j);
	double t_2 = y0 * (x * t_1);
	double t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (x <= -2.4e+249) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (x <= -5.9e+159) {
		tmp = t_2;
	} else if (x <= -3.4e+105) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (x <= -80000000000000.0) {
		tmp = t_2;
	} else if (x <= 2.9e-242) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (x <= 4.7e-32) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (x <= 0.72) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (x <= 2.5e+30) {
		tmp = t_3;
	} else if (x <= 1.02e+153) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (x <= 4.8e+175) {
		tmp = x * (y0 * t_1);
	} else if (x <= 6e+195) {
		tmp = t_3;
	} 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) :: tmp
    t_1 = (c * y2) - (b * j)
    t_2 = y0 * (x * t_1)
    t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (x <= (-2.4d+249)) then
        tmp = a * (y1 * ((z * y3) - (x * y2)))
    else if (x <= (-5.9d+159)) then
        tmp = t_2
    else if (x <= (-3.4d+105)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (x <= (-80000000000000.0d0)) then
        tmp = t_2
    else if (x <= 2.9d-242) then
        tmp = b * (z * ((k * y0) - (t * a)))
    else if (x <= 4.7d-32) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (x <= 0.72d0) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (x <= 2.5d+30) then
        tmp = t_3
    else if (x <= 1.02d+153) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (x <= 4.8d+175) then
        tmp = x * (y0 * t_1)
    else if (x <= 6d+195) then
        tmp = t_3
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y2) - (b * j);
	double t_2 = y0 * (x * t_1);
	double t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (x <= -2.4e+249) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (x <= -5.9e+159) {
		tmp = t_2;
	} else if (x <= -3.4e+105) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (x <= -80000000000000.0) {
		tmp = t_2;
	} else if (x <= 2.9e-242) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (x <= 4.7e-32) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (x <= 0.72) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (x <= 2.5e+30) {
		tmp = t_3;
	} else if (x <= 1.02e+153) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (x <= 4.8e+175) {
		tmp = x * (y0 * t_1);
	} else if (x <= 6e+195) {
		tmp = t_3;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y2) - (b * j)
	t_2 = y0 * (x * t_1)
	t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if x <= -2.4e+249:
		tmp = a * (y1 * ((z * y3) - (x * y2)))
	elif x <= -5.9e+159:
		tmp = t_2
	elif x <= -3.4e+105:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif x <= -80000000000000.0:
		tmp = t_2
	elif x <= 2.9e-242:
		tmp = b * (z * ((k * y0) - (t * a)))
	elif x <= 4.7e-32:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif x <= 0.72:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif x <= 2.5e+30:
		tmp = t_3
	elif x <= 1.02e+153:
		tmp = x * (y * ((a * b) - (c * i)))
	elif x <= 4.8e+175:
		tmp = x * (y0 * t_1)
	elif x <= 6e+195:
		tmp = t_3
	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(c * y2) - Float64(b * j))
	t_2 = Float64(y0 * Float64(x * t_1))
	t_3 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (x <= -2.4e+249)
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))));
	elseif (x <= -5.9e+159)
		tmp = t_2;
	elseif (x <= -3.4e+105)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (x <= -80000000000000.0)
		tmp = t_2;
	elseif (x <= 2.9e-242)
		tmp = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (x <= 4.7e-32)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (x <= 0.72)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (x <= 2.5e+30)
		tmp = t_3;
	elseif (x <= 1.02e+153)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (x <= 4.8e+175)
		tmp = Float64(x * Float64(y0 * t_1));
	elseif (x <= 6e+195)
		tmp = t_3;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y2) - (b * j);
	t_2 = y0 * (x * t_1);
	t_3 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (x <= -2.4e+249)
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	elseif (x <= -5.9e+159)
		tmp = t_2;
	elseif (x <= -3.4e+105)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (x <= -80000000000000.0)
		tmp = t_2;
	elseif (x <= 2.9e-242)
		tmp = b * (z * ((k * y0) - (t * a)));
	elseif (x <= 4.7e-32)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (x <= 0.72)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (x <= 2.5e+30)
		tmp = t_3;
	elseif (x <= 1.02e+153)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (x <= 4.8e+175)
		tmp = x * (y0 * t_1);
	elseif (x <= 6e+195)
		tmp = t_3;
	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[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y0 * N[(x * t$95$1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -2.4e+249], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -5.9e+159], t$95$2, If[LessEqual[x, -3.4e+105], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -80000000000000.0], t$95$2, If[LessEqual[x, 2.9e-242], N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.7e-32], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 0.72], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.5e+30], t$95$3, If[LessEqual[x, 1.02e+153], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.8e+175], N[(x * N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6e+195], t$95$3, t$95$2]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if x < -2.4e249

   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 y1 around -inf 41.7%

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

      1. associate-*r* 41.7%

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

      2. neg-mul-1 41.7%

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

      3. +-commutative 41.7%

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

      4. mul-1-neg 41.7%

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

      5. unsub-neg 41.7%

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

      6. *-commutative 41.7%

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

      7. *-commutative 41.7%

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

      8. *-commutative 41.7%

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

      9. *-commutative 41.7%

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

   5. Simplified 41.7%

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

   6. Taylor expanded in a around inf 64.9%

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

      1. mul-1-neg 64.9%

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

   8. Simplified 64.9%

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

   if -2.4e249 < x < -5.89999999999999993e159 or -3.3999999999999999e105 < x < -8e13 or 6.0000000000000001e195 < x

   1. Initial program 14.4%

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

   3. Taylor expanded in x around inf 51.7%

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

   4. Taylor expanded in y0 around inf 61.7%

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

   5. Taylor expanded in y5 around 0 62.0%

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

      1. *-commutative 62.0%

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

      2. *-commutative 62.0%

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

   7. Simplified 62.0%

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

   if -5.89999999999999993e159 < x < -3.3999999999999999e105

   1. Initial program 29.0%

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

   3. Taylor expanded in y around inf 57.5%

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

   4. Taylor expanded in a around inf 57.4%

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

   if -8e13 < x < 2.9000000000000001e-242

   1. Initial program 38.4%

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

   3. Taylor expanded in b around inf 48.3%

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

   4. Taylor expanded in z around -inf 41.6%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 41.6%

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

      2. mul-1-neg 41.6%

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

   6. Simplified 41.6%

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

   if 2.9000000000000001e-242 < x < 4.70000000000000019e-32

   1. Initial program 39.8%

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

   3. Taylor expanded in y1 around -inf 43.0%

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

      1. associate-*r* 43.0%

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

      2. neg-mul-1 43.0%

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

      3. +-commutative 43.0%

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

      4. mul-1-neg 43.0%

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

      5. unsub-neg 43.0%

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

      6. *-commutative 43.0%

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

      7. *-commutative 43.0%

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

      8. *-commutative 43.0%

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

      9. *-commutative 43.0%

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

   5. Simplified 43.0%

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

   6. Taylor expanded in z around -inf 45.9%

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

   if 4.70000000000000019e-32 < x < 0.71999999999999997

   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 x around inf 44.8%

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

   4. Taylor expanded in b around inf 73.5%

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

   if 0.71999999999999997 < x < 2.4999999999999999e30 or 4.8e175 < x < 6.0000000000000001e195

   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 x around inf 50.6%

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

   4. Taylor expanded in k around inf 75.4%

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

   if 2.4999999999999999e30 < x < 1.0199999999999999e153

   1. Initial program 18.4%

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

   3. Taylor expanded in x around inf 27.3%

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

   4. Taylor expanded in y around inf 47.1%

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

   if 1.0199999999999999e153 < x < 4.8e175

   1. Initial program 13.4%

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

   3. Taylor expanded in x around inf 50.0%

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

   4. Taylor expanded in y0 around inf 51.5%

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

   5. Taylor expanded in y5 around 0 75.0%

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

4. Final simplification 54.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.4 \cdot 10^{+249}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -5.9 \cdot 10^{+159}:\\ \;\;\;\;y0 \cdot \left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -3.4 \cdot 10^{+105}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -80000000000000:\\ \;\;\;\;y0 \cdot \left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 2.9 \cdot 10^{-242}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;x \leq 4.7 \cdot 10^{-32}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;x \leq 0.72:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{+30}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.02 \cdot 10^{+153}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 4.8 \cdot 10^{+175}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 6 \cdot 10^{+195}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 30.8% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ t_2 := a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{if}\;k \leq -3.4 \cdot 10^{+199}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.2 \cdot 10^{+18}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -7.5 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.55 \cdot 10^{-301}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 6.8 \cdot 10^{-192}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.7 \cdot 10^{-132}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 4.8 \cdot 10^{-66}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq 2.15 \cdot 10^{+37}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{+59}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq 8.8 \cdot 10^{+147}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y0 (- (* c y2) (* b j)))))
        (t_2 (* a (* y (- (* x b) (* y3 y5))))))
   (if (<= k -3.4e+199)
     (* y0 (* y5 (- (* k y2))))
     (if (<= k -2.2e+18)
       (* b (* x (- (* y a) (* j y0))))
       (if (<= k -7.5e-143)
         (* x (* y (- (* a b) (* c i))))
         (if (<= k 1.55e-301)
           t_1
           (if (<= k 6.8e-192)
             (* j (* t (- (* b y4) (* i y5))))
             (if (<= k 1.7e-132)
               t_1
               (if (<= k 4.8e-66)
                 t_2
                 (if (<= k 2.15e+37)
                   (* t (* y2 (- (* a y5) (* c y4))))
                   (if (<= k 1.15e+59)
                     t_2
                     (if (<= k 8.8e+147)
                       (* i (* y1 (- (* x j) (* z k))))
                       (* k (* y2 (- (* y1 y4) (* y0 y5))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y0 * ((c * y2) - (b * j)));
	double t_2 = a * (y * ((x * b) - (y3 * y5)));
	double tmp;
	if (k <= -3.4e+199) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -2.2e+18) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (k <= -7.5e-143) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 1.55e-301) {
		tmp = t_1;
	} else if (k <= 6.8e-192) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 1.7e-132) {
		tmp = t_1;
	} else if (k <= 4.8e-66) {
		tmp = t_2;
	} else if (k <= 2.15e+37) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 1.15e+59) {
		tmp = t_2;
	} else if (k <= 8.8e+147) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = x * (y0 * ((c * y2) - (b * j)))
    t_2 = a * (y * ((x * b) - (y3 * y5)))
    if (k <= (-3.4d+199)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (k <= (-2.2d+18)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (k <= (-7.5d-143)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (k <= 1.55d-301) then
        tmp = t_1
    else if (k <= 6.8d-192) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (k <= 1.7d-132) then
        tmp = t_1
    else if (k <= 4.8d-66) then
        tmp = t_2
    else if (k <= 2.15d+37) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (k <= 1.15d+59) then
        tmp = t_2
    else if (k <= 8.8d+147) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y0 * ((c * y2) - (b * j)));
	double t_2 = a * (y * ((x * b) - (y3 * y5)));
	double tmp;
	if (k <= -3.4e+199) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -2.2e+18) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (k <= -7.5e-143) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 1.55e-301) {
		tmp = t_1;
	} else if (k <= 6.8e-192) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 1.7e-132) {
		tmp = t_1;
	} else if (k <= 4.8e-66) {
		tmp = t_2;
	} else if (k <= 2.15e+37) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 1.15e+59) {
		tmp = t_2;
	} else if (k <= 8.8e+147) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (y0 * ((c * y2) - (b * j)))
	t_2 = a * (y * ((x * b) - (y3 * y5)))
	tmp = 0
	if k <= -3.4e+199:
		tmp = y0 * (y5 * -(k * y2))
	elif k <= -2.2e+18:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif k <= -7.5e-143:
		tmp = x * (y * ((a * b) - (c * i)))
	elif k <= 1.55e-301:
		tmp = t_1
	elif k <= 6.8e-192:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif k <= 1.7e-132:
		tmp = t_1
	elif k <= 4.8e-66:
		tmp = t_2
	elif k <= 2.15e+37:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif k <= 1.15e+59:
		tmp = t_2
	elif k <= 8.8e+147:
		tmp = i * (y1 * ((x * j) - (z * k)))
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))))
	t_2 = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))))
	tmp = 0.0
	if (k <= -3.4e+199)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (k <= -2.2e+18)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (k <= -7.5e-143)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (k <= 1.55e-301)
		tmp = t_1;
	elseif (k <= 6.8e-192)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (k <= 1.7e-132)
		tmp = t_1;
	elseif (k <= 4.8e-66)
		tmp = t_2;
	elseif (k <= 2.15e+37)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (k <= 1.15e+59)
		tmp = t_2;
	elseif (k <= 8.8e+147)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (y0 * ((c * y2) - (b * j)));
	t_2 = a * (y * ((x * b) - (y3 * y5)));
	tmp = 0.0;
	if (k <= -3.4e+199)
		tmp = y0 * (y5 * -(k * y2));
	elseif (k <= -2.2e+18)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (k <= -7.5e-143)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (k <= 1.55e-301)
		tmp = t_1;
	elseif (k <= 6.8e-192)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (k <= 1.7e-132)
		tmp = t_1;
	elseif (k <= 4.8e-66)
		tmp = t_2;
	elseif (k <= 2.15e+37)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (k <= 1.15e+59)
		tmp = t_2;
	elseif (k <= 8.8e+147)
		tmp = i * (y1 * ((x * j) - (z * k)));
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -3.4e+199], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.2e+18], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -7.5e-143], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.55e-301], t$95$1, If[LessEqual[k, 6.8e-192], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.7e-132], t$95$1, If[LessEqual[k, 4.8e-66], t$95$2, If[LessEqual[k, 2.15e+37], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.15e+59], t$95$2, If[LessEqual[k, 8.8e+147], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if k < -3.4e199

   1. Initial program 12.5%

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

   3. Taylor expanded in x around inf 40.8%

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

   4. Taylor expanded in y0 around inf 44.4%

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

   5. Taylor expanded in y5 around -inf 50.4%

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

      1. associate-*r* 50.4%

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

      2. neg-mul-1 50.4%

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

      3. +-commutative 50.4%

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

      4. mul-1-neg 50.4%

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

      5. unsub-neg 50.4%

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

      6. associate-/l* 50.4%

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

      7. *-commutative 50.4%

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

      8. *-commutative 50.4%

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

   7. Simplified 50.4%

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

   8. Taylor expanded in k around inf 41.9%

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

      1. mul-1-neg 41.9%

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

      2. associate-*r* 50.9%

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

      3. distribute-rgt-neg-in 50.9%

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

      4. *-commutative 50.9%

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

   10. Simplified 50.9%

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

   if -3.4e199 < k < -2.2e18

   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 x around inf 46.9%

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

   4. Taylor expanded in b around inf 48.1%

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

   if -2.2e18 < k < -7.5000000000000003e-143

   1. Initial program 18.3%

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

   3. Taylor expanded in x around inf 46.3%

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

   4. Taylor expanded in y around inf 52.8%

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

   if -7.5000000000000003e-143 < k < 1.55000000000000007e-301 or 6.80000000000000003e-192 < k < 1.69999999999999991e-132

   1. Initial program 38.1%

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

   3. Taylor expanded in x around inf 36.0%

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

   4. Taylor expanded in y0 around inf 53.8%

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

   5. Taylor expanded in y5 around 0 49.5%

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

   if 1.55000000000000007e-301 < k < 6.80000000000000003e-192

   1. Initial program 37.0%

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

   3. Taylor expanded in j around inf 64.0%

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

      1. +-commutative 64.0%

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

      2. mul-1-neg 64.0%

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

      3. unsub-neg 64.0%

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

      4. *-commutative 64.0%

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

   5. Simplified 64.0%

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

   6. Taylor expanded in t around inf 49.5%

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

   if 1.69999999999999991e-132 < k < 4.80000000000000052e-66 or 2.1499999999999998e37 < k < 1.15000000000000004e59

   1. Initial program 42.9%

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

   3. Taylor expanded in y around inf 38.2%

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

   4. Taylor expanded in a around inf 48.3%

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

   if 4.80000000000000052e-66 < k < 2.1499999999999998e37

   1. Initial program 20.4%

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

   3. Taylor expanded in y4 around inf 45.4%

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

      1. *-commutative 45.4%

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

   5. Simplified 45.4%

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

   6. Taylor expanded in t around inf 40.4%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 40.4%

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

   8. Simplified 40.4%

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

   9. Taylor expanded in y2 around inf 50.9%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 50.9%

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

   11. Simplified 50.9%

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

   if 1.15000000000000004e59 < k < 8.8000000000000007e147

   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 y1 around -inf 56.3%

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

      1. associate-*r* 56.3%

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

      2. neg-mul-1 56.3%

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

      3. +-commutative 56.3%

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

      4. mul-1-neg 56.3%

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

      5. unsub-neg 56.3%

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

      6. *-commutative 56.3%

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

      7. *-commutative 56.3%

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

      8. *-commutative 56.3%

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

      9. *-commutative 56.3%

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

   5. Simplified 56.3%

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

   6. Taylor expanded in i around -inf 56.8%

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

   if 8.8000000000000007e147 < 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 x around inf 44.5%

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

   4. Taylor expanded in k around inf 53.6%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 51.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -3.4 \cdot 10^{+199}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.2 \cdot 10^{+18}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -7.5 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.55 \cdot 10^{-301}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 6.8 \cdot 10^{-192}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.7 \cdot 10^{-132}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 4.8 \cdot 10^{-66}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.15 \cdot 10^{+37}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{+59}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 8.8 \cdot 10^{+147}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 30.8% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y2 - b \cdot j\\ t_2 := a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{if}\;k \leq -9 \cdot 10^{+203}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.04 \cdot 10^{+18}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -6 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.4 \cdot 10^{-300}:\\ \;\;\;\;y0 \cdot \left(x \cdot t\_1\right)\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{-191}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.1 \cdot 10^{-132}:\\ \;\;\;\;x \cdot \left(y0 \cdot t\_1\right)\\ \mathbf{elif}\;k \leq 1.65 \cdot 10^{-65}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq 6 \cdot 10^{+39}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 3.85 \cdot 10^{+59}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq 6.6 \cdot 10^{+147}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y2) (* b j))) (t_2 (* a (* y (- (* x b) (* y3 y5))))))
   (if (<= k -9e+203)
     (* y0 (* y5 (- (* k y2))))
     (if (<= k -1.04e+18)
       (* b (* x (- (* y a) (* j y0))))
       (if (<= k -6e-143)
         (* x (* y (- (* a b) (* c i))))
         (if (<= k 1.4e-300)
           (* y0 (* x t_1))
           (if (<= k 8.5e-191)
             (* j (* t (- (* b y4) (* i y5))))
             (if (<= k 2.1e-132)
               (* x (* y0 t_1))
               (if (<= k 1.65e-65)
                 t_2
                 (if (<= k 6e+39)
                   (* t (* y2 (- (* a y5) (* c y4))))
                   (if (<= k 3.85e+59)
                     t_2
                     (if (<= k 6.6e+147)
                       (* i (* y1 (- (* x j) (* z k))))
                       (* k (* y2 (- (* y1 y4) (* y0 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 = (c * y2) - (b * j);
	double t_2 = a * (y * ((x * b) - (y3 * y5)));
	double tmp;
	if (k <= -9e+203) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -1.04e+18) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (k <= -6e-143) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 1.4e-300) {
		tmp = y0 * (x * t_1);
	} else if (k <= 8.5e-191) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 2.1e-132) {
		tmp = x * (y0 * t_1);
	} else if (k <= 1.65e-65) {
		tmp = t_2;
	} else if (k <= 6e+39) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 3.85e+59) {
		tmp = t_2;
	} else if (k <= 6.6e+147) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = (c * y2) - (b * j)
    t_2 = a * (y * ((x * b) - (y3 * y5)))
    if (k <= (-9d+203)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (k <= (-1.04d+18)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (k <= (-6d-143)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (k <= 1.4d-300) then
        tmp = y0 * (x * t_1)
    else if (k <= 8.5d-191) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (k <= 2.1d-132) then
        tmp = x * (y0 * t_1)
    else if (k <= 1.65d-65) then
        tmp = t_2
    else if (k <= 6d+39) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (k <= 3.85d+59) then
        tmp = t_2
    else if (k <= 6.6d+147) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = (c * y2) - (b * j);
	double t_2 = a * (y * ((x * b) - (y3 * y5)));
	double tmp;
	if (k <= -9e+203) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -1.04e+18) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (k <= -6e-143) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 1.4e-300) {
		tmp = y0 * (x * t_1);
	} else if (k <= 8.5e-191) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 2.1e-132) {
		tmp = x * (y0 * t_1);
	} else if (k <= 1.65e-65) {
		tmp = t_2;
	} else if (k <= 6e+39) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 3.85e+59) {
		tmp = t_2;
	} else if (k <= 6.6e+147) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y2) - (b * j)
	t_2 = a * (y * ((x * b) - (y3 * y5)))
	tmp = 0
	if k <= -9e+203:
		tmp = y0 * (y5 * -(k * y2))
	elif k <= -1.04e+18:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif k <= -6e-143:
		tmp = x * (y * ((a * b) - (c * i)))
	elif k <= 1.4e-300:
		tmp = y0 * (x * t_1)
	elif k <= 8.5e-191:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif k <= 2.1e-132:
		tmp = x * (y0 * t_1)
	elif k <= 1.65e-65:
		tmp = t_2
	elif k <= 6e+39:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif k <= 3.85e+59:
		tmp = t_2
	elif k <= 6.6e+147:
		tmp = i * (y1 * ((x * j) - (z * k)))
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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(c * y2) - Float64(b * j))
	t_2 = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))))
	tmp = 0.0
	if (k <= -9e+203)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (k <= -1.04e+18)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (k <= -6e-143)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (k <= 1.4e-300)
		tmp = Float64(y0 * Float64(x * t_1));
	elseif (k <= 8.5e-191)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (k <= 2.1e-132)
		tmp = Float64(x * Float64(y0 * t_1));
	elseif (k <= 1.65e-65)
		tmp = t_2;
	elseif (k <= 6e+39)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (k <= 3.85e+59)
		tmp = t_2;
	elseif (k <= 6.6e+147)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * 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 = (c * y2) - (b * j);
	t_2 = a * (y * ((x * b) - (y3 * y5)));
	tmp = 0.0;
	if (k <= -9e+203)
		tmp = y0 * (y5 * -(k * y2));
	elseif (k <= -1.04e+18)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (k <= -6e-143)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (k <= 1.4e-300)
		tmp = y0 * (x * t_1);
	elseif (k <= 8.5e-191)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (k <= 2.1e-132)
		tmp = x * (y0 * t_1);
	elseif (k <= 1.65e-65)
		tmp = t_2;
	elseif (k <= 6e+39)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (k <= 3.85e+59)
		tmp = t_2;
	elseif (k <= 6.6e+147)
		tmp = i * (y1 * ((x * j) - (z * k)));
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -9e+203], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.04e+18], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -6e-143], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.4e-300], N[(y0 * N[(x * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 8.5e-191], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.1e-132], N[(x * N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.65e-65], t$95$2, If[LessEqual[k, 6e+39], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 3.85e+59], t$95$2, If[LessEqual[k, 6.6e+147], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -9.0000000000000006e203

   1. Initial program 12.5%

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

   3. Taylor expanded in x around inf 40.8%

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

   4. Taylor expanded in y0 around inf 44.4%

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

   5. Taylor expanded in y5 around -inf 50.4%

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

      1. associate-*r* 50.4%

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

      2. neg-mul-1 50.4%

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

      3. +-commutative 50.4%

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

      4. mul-1-neg 50.4%

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

      5. unsub-neg 50.4%

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

      6. associate-/l* 50.4%

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

      7. *-commutative 50.4%

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

      8. *-commutative 50.4%

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

   7. Simplified 50.4%

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

   8. Taylor expanded in k around inf 41.9%

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

      1. mul-1-neg 41.9%

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

      2. associate-*r* 50.9%

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

      3. distribute-rgt-neg-in 50.9%

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

      4. *-commutative 50.9%

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

   10. Simplified 50.9%

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

   if -9.0000000000000006e203 < k < -1.04e18

   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 x around inf 46.9%

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

   4. Taylor expanded in b around inf 48.1%

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

   if -1.04e18 < k < -5.9999999999999997e-143

   1. Initial program 18.3%

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

   3. Taylor expanded in x around inf 46.3%

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

   4. Taylor expanded in y around inf 52.8%

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

   if -5.9999999999999997e-143 < k < 1.39999999999999997e-300

   1. Initial program 38.2%

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

   3. Taylor expanded in x around inf 30.0%

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

   4. Taylor expanded in y0 around inf 53.4%

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

   5. Taylor expanded in y5 around 0 47.6%

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

      1. *-commutative 47.6%

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

      2. *-commutative 47.6%

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

   7. Simplified 47.6%

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

   if 1.39999999999999997e-300 < k < 8.49999999999999954e-191

   1. Initial program 37.0%

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

   3. Taylor expanded in j around inf 64.0%

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

      1. +-commutative 64.0%

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

      2. mul-1-neg 64.0%

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

      3. unsub-neg 64.0%

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

      4. *-commutative 64.0%

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

   5. Simplified 64.0%

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

   6. Taylor expanded in t around inf 49.5%

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

   if 8.49999999999999954e-191 < k < 2.1000000000000001e-132

   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 54.7%

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

   4. Taylor expanded in y0 around inf 55.0%

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

   5. Taylor expanded in y5 around 0 55.5%

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

   if 2.1000000000000001e-132 < k < 1.6500000000000001e-65 or 5.9999999999999999e39 < k < 3.84999999999999993e59

   1. Initial program 42.9%

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

   3. Taylor expanded in y around inf 38.2%

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

   4. Taylor expanded in a around inf 48.3%

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

   if 1.6500000000000001e-65 < k < 5.9999999999999999e39

   1. Initial program 20.4%

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

   3. Taylor expanded in y4 around inf 45.4%

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

      1. *-commutative 45.4%

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

   5. Simplified 45.4%

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

   6. Taylor expanded in t around inf 40.4%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 40.4%

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

   8. Simplified 40.4%

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

   9. Taylor expanded in y2 around inf 50.9%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 50.9%

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

   11. Simplified 50.9%

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

   if 3.84999999999999993e59 < k < 6.60000000000000049e147

   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 y1 around -inf 56.3%

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

      1. associate-*r* 56.3%

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

      2. neg-mul-1 56.3%

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

      3. +-commutative 56.3%

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

      4. mul-1-neg 56.3%

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

      5. unsub-neg 56.3%

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

      6. *-commutative 56.3%

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

      7. *-commutative 56.3%

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

      8. *-commutative 56.3%

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

      9. *-commutative 56.3%

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

   5. Simplified 56.3%

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

   6. Taylor expanded in i around -inf 56.8%

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

   if 6.60000000000000049e147 < 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 x around inf 44.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 53.6%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 51.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -9 \cdot 10^{+203}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.04 \cdot 10^{+18}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -6 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.4 \cdot 10^{-300}:\\ \;\;\;\;y0 \cdot \left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 8.5 \cdot 10^{-191}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.1 \cdot 10^{-132}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 1.65 \cdot 10^{-65}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 6 \cdot 10^{+39}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 3.85 \cdot 10^{+59}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 6.6 \cdot 10^{+147}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 30.5% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ t_2 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;k \leq -4.2 \cdot 10^{+199}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{+18}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq -6.5 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 4.2 \cdot 10^{-298}:\\ \;\;\;\;y0 \cdot \left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 1.65 \cdot 10^{-187}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 7.2 \cdot 10^{-93}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq 2.28 \cdot 10^{-38}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{+56}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{+148}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 2 \cdot 10^{+184}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y1 (* y3 (- (* z a) (* j y4)))))
        (t_2 (* b (* x (- (* y a) (* j y0))))))
   (if (<= k -4.2e+199)
     (* y0 (* y5 (- (* k y2))))
     (if (<= k -4.8e+18)
       t_2
       (if (<= k -6.5e-143)
         (* x (* y (- (* a b) (* c i))))
         (if (<= k 4.2e-298)
           (* y0 (* x (- (* c y2) (* b j))))
           (if (<= k 1.65e-187)
             (* j (* t (- (* b y4) (* i y5))))
             (if (<= k 7.2e-93)
               t_2
               (if (<= k 2.28e-38)
                 t_1
                 (if (<= k 1.8e+56)
                   (* t (* y2 (- (* a y5) (* c y4))))
                   (if (<= k 1.45e+148)
                     (* i (* y1 (- (* x j) (* z k))))
                     (if (<= k 2e+184)
                       t_1
                       (* k (* y2 (- (* y1 y4) (* y0 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 = y1 * (y3 * ((z * a) - (j * y4)));
	double t_2 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -4.2e+199) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -4.8e+18) {
		tmp = t_2;
	} else if (k <= -6.5e-143) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 4.2e-298) {
		tmp = y0 * (x * ((c * y2) - (b * j)));
	} else if (k <= 1.65e-187) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 7.2e-93) {
		tmp = t_2;
	} else if (k <= 2.28e-38) {
		tmp = t_1;
	} else if (k <= 1.8e+56) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 1.45e+148) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 2e+184) {
		tmp = t_1;
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y1 * (y3 * ((z * a) - (j * y4)))
    t_2 = b * (x * ((y * a) - (j * y0)))
    if (k <= (-4.2d+199)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (k <= (-4.8d+18)) then
        tmp = t_2
    else if (k <= (-6.5d-143)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (k <= 4.2d-298) then
        tmp = y0 * (x * ((c * y2) - (b * j)))
    else if (k <= 1.65d-187) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (k <= 7.2d-93) then
        tmp = t_2
    else if (k <= 2.28d-38) then
        tmp = t_1
    else if (k <= 1.8d+56) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (k <= 1.45d+148) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (k <= 2d+184) then
        tmp = t_1
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = y1 * (y3 * ((z * a) - (j * y4)));
	double t_2 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -4.2e+199) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -4.8e+18) {
		tmp = t_2;
	} else if (k <= -6.5e-143) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 4.2e-298) {
		tmp = y0 * (x * ((c * y2) - (b * j)));
	} else if (k <= 1.65e-187) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 7.2e-93) {
		tmp = t_2;
	} else if (k <= 2.28e-38) {
		tmp = t_1;
	} else if (k <= 1.8e+56) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 1.45e+148) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 2e+184) {
		tmp = t_1;
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y1 * (y3 * ((z * a) - (j * y4)))
	t_2 = b * (x * ((y * a) - (j * y0)))
	tmp = 0
	if k <= -4.2e+199:
		tmp = y0 * (y5 * -(k * y2))
	elif k <= -4.8e+18:
		tmp = t_2
	elif k <= -6.5e-143:
		tmp = x * (y * ((a * b) - (c * i)))
	elif k <= 4.2e-298:
		tmp = y0 * (x * ((c * y2) - (b * j)))
	elif k <= 1.65e-187:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif k <= 7.2e-93:
		tmp = t_2
	elif k <= 2.28e-38:
		tmp = t_1
	elif k <= 1.8e+56:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif k <= 1.45e+148:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif k <= 2e+184:
		tmp = t_1
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))))
	t_2 = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (k <= -4.2e+199)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (k <= -4.8e+18)
		tmp = t_2;
	elseif (k <= -6.5e-143)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (k <= 4.2e-298)
		tmp = Float64(y0 * Float64(x * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (k <= 1.65e-187)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (k <= 7.2e-93)
		tmp = t_2;
	elseif (k <= 2.28e-38)
		tmp = t_1;
	elseif (k <= 1.8e+56)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (k <= 1.45e+148)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (k <= 2e+184)
		tmp = t_1;
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * 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 = y1 * (y3 * ((z * a) - (j * y4)));
	t_2 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (k <= -4.2e+199)
		tmp = y0 * (y5 * -(k * y2));
	elseif (k <= -4.8e+18)
		tmp = t_2;
	elseif (k <= -6.5e-143)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (k <= 4.2e-298)
		tmp = y0 * (x * ((c * y2) - (b * j)));
	elseif (k <= 1.65e-187)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (k <= 7.2e-93)
		tmp = t_2;
	elseif (k <= 2.28e-38)
		tmp = t_1;
	elseif (k <= 1.8e+56)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (k <= 1.45e+148)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (k <= 2e+184)
		tmp = t_1;
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4.2e+199], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.8e+18], t$95$2, If[LessEqual[k, -6.5e-143], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 4.2e-298], N[(y0 * N[(x * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.65e-187], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 7.2e-93], t$95$2, If[LessEqual[k, 2.28e-38], t$95$1, If[LessEqual[k, 1.8e+56], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.45e+148], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2e+184], t$95$1, N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if k < -4.1999999999999999e199

   1. Initial program 12.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 40.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 44.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 50.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 50.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 50.4%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 41.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 41.9%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 50.9%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 50.9%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 50.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 50.9%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -4.1999999999999999e199 < k < -4.8e18 or 1.65e-187 < k < 7.2000000000000003e-93

   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 x around inf 50.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 45.3%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -4.8e18 < k < -6.4999999999999999e-143

   1. Initial program 18.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 46.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y around inf 52.8%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if -6.4999999999999999e-143 < k < 4.2000000000000001e-298

   1. Initial program 38.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 30.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 53.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around 0 47.6%

      \[\leadsto y0 \cdot \color{blue}{\left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 47.6%

         \[\leadsto y0 \cdot \left(x \cdot \left(\color{blue}{y2 \cdot c} - b \cdot j\right)\right) \]

      2. *-commutative 47.6%

         \[\leadsto y0 \cdot \left(x \cdot \left(y2 \cdot c - \color{blue}{j \cdot b}\right)\right) \]

   7. Simplified 47.6%

      \[\leadsto y0 \cdot \color{blue}{\left(x \cdot \left(y2 \cdot c - j \cdot b\right)\right)} \]

   if 4.2000000000000001e-298 < k < 1.65e-187

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 64.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 64.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 64.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 64.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 64.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 64.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   6. Taylor expanded in t around inf 49.5%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 7.2000000000000003e-93 < k < 2.2799999999999999e-38 or 1.45e148 < k < 2.00000000000000003e184

   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 y1 around -inf 63.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 63.7%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 63.7%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 63.7%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 63.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 63.7%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 63.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 63.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 63.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 63.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 63.7%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y3 around -inf 64.3%

      \[\leadsto \color{blue}{y1 \cdot \left(y3 \cdot \left(a \cdot z - j \cdot y4\right)\right)} \]

   if 2.2799999999999999e-38 < k < 1.79999999999999999e56

   1. Initial program 25.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 40.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 40.8%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 40.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 40.4%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 40.4%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 40.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y2 around inf 50.6%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 50.6%

          \[\leadsto t \cdot \left(y2 \cdot \left(\color{blue}{y5 \cdot a} - c \cdot y4\right)\right) \]

   11. Simplified 50.6%

       \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(y5 \cdot a - c \cdot y4\right)\right)} \]

   if 1.79999999999999999e56 < k < 1.45e148

   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 y1 around -inf 56.3%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 56.3%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 56.3%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 56.3%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 56.8%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 2.00000000000000003e184 < k

   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 x around inf 43.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 54.3%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 51.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4.2 \cdot 10^{+199}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{+18}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -6.5 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 4.2 \cdot 10^{-298}:\\ \;\;\;\;y0 \cdot \left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 1.65 \cdot 10^{-187}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 7.2 \cdot 10^{-93}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 2.28 \cdot 10^{-38}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{+56}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{+148}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 2 \cdot 10^{+184}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 18: 30.6% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;k \leq -1.4 \cdot 10^{+201}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.35 \cdot 10^{+17}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -5.2 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.35 \cdot 10^{-298}:\\ \;\;\;\;y0 \cdot \left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{-189}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 10^{-100}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 1.22 \cdot 10^{-73}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.32 \cdot 10^{+54}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.55 \cdot 10^{+148}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{+183}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0))))))
   (if (<= k -1.4e+201)
     (* y0 (* y5 (- (* k y2))))
     (if (<= k -2.35e+17)
       t_1
       (if (<= k -5.2e-143)
         (* x (* y (- (* a b) (* c i))))
         (if (<= k 1.35e-298)
           (* y0 (* x (- (* c y2) (* b j))))
           (if (<= k 1.05e-189)
             (* j (* t (- (* b y4) (* i y5))))
             (if (<= k 1e-100)
               t_1
               (if (<= k 1.22e-73)
                 (* y1 (* z (- (* a y3) (* i k))))
                 (if (<= k 1.32e+54)
                   (* t (* y2 (- (* a y5) (* c y4))))
                   (if (<= k 1.55e+148)
                     (* i (* y1 (- (* x j) (* z k))))
                     (if (<= k 1.45e+183)
                       (* y1 (* y3 (- (* z a) (* j y4))))
                       (* k (* y2 (- (* y1 y4) (* y0 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 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -1.4e+201) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -2.35e+17) {
		tmp = t_1;
	} else if (k <= -5.2e-143) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 1.35e-298) {
		tmp = y0 * (x * ((c * y2) - (b * j)));
	} else if (k <= 1.05e-189) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 1e-100) {
		tmp = t_1;
	} else if (k <= 1.22e-73) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (k <= 1.32e+54) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 1.55e+148) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 1.45e+183) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = b * (x * ((y * a) - (j * y0)))
    if (k <= (-1.4d+201)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (k <= (-2.35d+17)) then
        tmp = t_1
    else if (k <= (-5.2d-143)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (k <= 1.35d-298) then
        tmp = y0 * (x * ((c * y2) - (b * j)))
    else if (k <= 1.05d-189) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (k <= 1d-100) then
        tmp = t_1
    else if (k <= 1.22d-73) then
        tmp = y1 * (z * ((a * y3) - (i * k)))
    else if (k <= 1.32d+54) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (k <= 1.55d+148) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (k <= 1.45d+183) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -1.4e+201) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -2.35e+17) {
		tmp = t_1;
	} else if (k <= -5.2e-143) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 1.35e-298) {
		tmp = y0 * (x * ((c * y2) - (b * j)));
	} else if (k <= 1.05e-189) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 1e-100) {
		tmp = t_1;
	} else if (k <= 1.22e-73) {
		tmp = y1 * (z * ((a * y3) - (i * k)));
	} else if (k <= 1.32e+54) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 1.55e+148) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 1.45e+183) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	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 * a) - (j * y0)))
	tmp = 0
	if k <= -1.4e+201:
		tmp = y0 * (y5 * -(k * y2))
	elif k <= -2.35e+17:
		tmp = t_1
	elif k <= -5.2e-143:
		tmp = x * (y * ((a * b) - (c * i)))
	elif k <= 1.35e-298:
		tmp = y0 * (x * ((c * y2) - (b * j)))
	elif k <= 1.05e-189:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif k <= 1e-100:
		tmp = t_1
	elif k <= 1.22e-73:
		tmp = y1 * (z * ((a * y3) - (i * k)))
	elif k <= 1.32e+54:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif k <= 1.55e+148:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif k <= 1.45e+183:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (k <= -1.4e+201)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (k <= -2.35e+17)
		tmp = t_1;
	elseif (k <= -5.2e-143)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (k <= 1.35e-298)
		tmp = Float64(y0 * Float64(x * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (k <= 1.05e-189)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (k <= 1e-100)
		tmp = t_1;
	elseif (k <= 1.22e-73)
		tmp = Float64(y1 * Float64(z * Float64(Float64(a * y3) - Float64(i * k))));
	elseif (k <= 1.32e+54)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (k <= 1.55e+148)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (k <= 1.45e+183)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * 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 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (k <= -1.4e+201)
		tmp = y0 * (y5 * -(k * y2));
	elseif (k <= -2.35e+17)
		tmp = t_1;
	elseif (k <= -5.2e-143)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (k <= 1.35e-298)
		tmp = y0 * (x * ((c * y2) - (b * j)));
	elseif (k <= 1.05e-189)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (k <= 1e-100)
		tmp = t_1;
	elseif (k <= 1.22e-73)
		tmp = y1 * (z * ((a * y3) - (i * k)));
	elseif (k <= 1.32e+54)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (k <= 1.55e+148)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (k <= 1.45e+183)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.4e+201], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.35e+17], t$95$1, If[LessEqual[k, -5.2e-143], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.35e-298], N[(y0 * N[(x * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.05e-189], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1e-100], t$95$1, If[LessEqual[k, 1.22e-73], N[(y1 * N[(z * N[(N[(a * y3), $MachinePrecision] - N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.32e+54], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.55e+148], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.45e+183], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -1.40000000000000003e201

   1. Initial program 12.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 40.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 44.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 50.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 50.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 50.4%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 41.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 41.9%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 50.9%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 50.9%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 50.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 50.9%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -1.40000000000000003e201 < k < -2.35e17 or 1.05000000000000008e-189 < k < 1e-100

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 50.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 47.2%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -2.35e17 < k < -5.19999999999999974e-143

   1. Initial program 18.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 46.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y around inf 52.8%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if -5.19999999999999974e-143 < k < 1.3500000000000001e-298

   1. Initial program 38.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 30.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 53.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around 0 47.6%

      \[\leadsto y0 \cdot \color{blue}{\left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 47.6%

         \[\leadsto y0 \cdot \left(x \cdot \left(\color{blue}{y2 \cdot c} - b \cdot j\right)\right) \]

      2. *-commutative 47.6%

         \[\leadsto y0 \cdot \left(x \cdot \left(y2 \cdot c - \color{blue}{j \cdot b}\right)\right) \]

   7. Simplified 47.6%

      \[\leadsto y0 \cdot \color{blue}{\left(x \cdot \left(y2 \cdot c - j \cdot b\right)\right)} \]

   if 1.3500000000000001e-298 < k < 1.05000000000000008e-189

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 64.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 64.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 64.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 64.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 64.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 64.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   6. Taylor expanded in t around inf 49.5%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 1e-100 < k < 1.22e-73

   1. Initial program 40.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 50.2%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 50.2%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 50.2%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 50.2%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 50.2%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 50.2%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 50.2%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 50.2%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 50.2%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 50.2%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 50.2%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in z around -inf 70.3%

      \[\leadsto \color{blue}{y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)} \]

   if 1.22e-73 < k < 1.3200000000000001e54

   1. Initial program 27.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 39.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 39.1%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 39.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 34.9%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 34.9%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 34.9%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y2 around inf 43.1%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 43.1%

          \[\leadsto t \cdot \left(y2 \cdot \left(\color{blue}{y5 \cdot a} - c \cdot y4\right)\right) \]

   11. Simplified 43.1%

       \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(y5 \cdot a - c \cdot y4\right)\right)} \]

   if 1.3200000000000001e54 < k < 1.54999999999999988e148

   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 y1 around -inf 56.3%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 56.3%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 56.3%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 56.3%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 56.8%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 1.54999999999999988e148 < k < 1.45e183

   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 y1 around -inf 87.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 87.5%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 87.5%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 87.5%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y3 around -inf 75.6%

      \[\leadsto \color{blue}{y1 \cdot \left(y3 \cdot \left(a \cdot z - j \cdot y4\right)\right)} \]

   if 1.45e183 < k

   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 x around inf 43.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 54.3%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 51.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.4 \cdot 10^{+201}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.35 \cdot 10^{+17}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -5.2 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.35 \cdot 10^{-298}:\\ \;\;\;\;y0 \cdot \left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 1.05 \cdot 10^{-189}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 10^{-100}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.22 \cdot 10^{-73}:\\ \;\;\;\;y1 \cdot \left(z \cdot \left(a \cdot y3 - i \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.32 \cdot 10^{+54}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.55 \cdot 10^{+148}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{+183}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 19: 30.7% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;k \leq -8.5 \cdot 10^{+200}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.42 \cdot 10^{+17}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -4.6 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.9 \cdot 10^{-300}:\\ \;\;\;\;y0 \cdot \left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{-187}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.85 \cdot 10^{-103}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 2.95 \cdot 10^{-30}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.85 \cdot 10^{+51}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.02 \cdot 10^{+148}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{+184}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0))))))
   (if (<= k -8.5e+200)
     (* y0 (* y5 (- (* k y2))))
     (if (<= k -1.42e+17)
       t_1
       (if (<= k -4.6e-143)
         (* x (* y (- (* a b) (* c i))))
         (if (<= k 1.9e-300)
           (* y0 (* x (- (* c y2) (* b j))))
           (if (<= k 1.8e-187)
             (* j (* t (- (* b y4) (* i y5))))
             (if (<= k 2.85e-103)
               t_1
               (if (<= k 2.95e-30)
                 (* a (* y1 (- (* z y3) (* x y2))))
                 (if (<= k 2.85e+51)
                   (* t (* y2 (- (* a y5) (* c y4))))
                   (if (<= k 1.02e+148)
                     (* i (* y1 (- (* x j) (* z k))))
                     (if (<= k 1.15e+184)
                       (* y1 (* y3 (- (* z a) (* j y4))))
                       (* k (* y2 (- (* y1 y4) (* y0 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 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -8.5e+200) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -1.42e+17) {
		tmp = t_1;
	} else if (k <= -4.6e-143) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 1.9e-300) {
		tmp = y0 * (x * ((c * y2) - (b * j)));
	} else if (k <= 1.8e-187) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 2.85e-103) {
		tmp = t_1;
	} else if (k <= 2.95e-30) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (k <= 2.85e+51) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 1.02e+148) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 1.15e+184) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = b * (x * ((y * a) - (j * y0)))
    if (k <= (-8.5d+200)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (k <= (-1.42d+17)) then
        tmp = t_1
    else if (k <= (-4.6d-143)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (k <= 1.9d-300) then
        tmp = y0 * (x * ((c * y2) - (b * j)))
    else if (k <= 1.8d-187) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (k <= 2.85d-103) then
        tmp = t_1
    else if (k <= 2.95d-30) then
        tmp = a * (y1 * ((z * y3) - (x * y2)))
    else if (k <= 2.85d+51) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (k <= 1.02d+148) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (k <= 1.15d+184) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -8.5e+200) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -1.42e+17) {
		tmp = t_1;
	} else if (k <= -4.6e-143) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (k <= 1.9e-300) {
		tmp = y0 * (x * ((c * y2) - (b * j)));
	} else if (k <= 1.8e-187) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 2.85e-103) {
		tmp = t_1;
	} else if (k <= 2.95e-30) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (k <= 2.85e+51) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 1.02e+148) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (k <= 1.15e+184) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	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 * a) - (j * y0)))
	tmp = 0
	if k <= -8.5e+200:
		tmp = y0 * (y5 * -(k * y2))
	elif k <= -1.42e+17:
		tmp = t_1
	elif k <= -4.6e-143:
		tmp = x * (y * ((a * b) - (c * i)))
	elif k <= 1.9e-300:
		tmp = y0 * (x * ((c * y2) - (b * j)))
	elif k <= 1.8e-187:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif k <= 2.85e-103:
		tmp = t_1
	elif k <= 2.95e-30:
		tmp = a * (y1 * ((z * y3) - (x * y2)))
	elif k <= 2.85e+51:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif k <= 1.02e+148:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif k <= 1.15e+184:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (k <= -8.5e+200)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (k <= -1.42e+17)
		tmp = t_1;
	elseif (k <= -4.6e-143)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (k <= 1.9e-300)
		tmp = Float64(y0 * Float64(x * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (k <= 1.8e-187)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (k <= 2.85e-103)
		tmp = t_1;
	elseif (k <= 2.95e-30)
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))));
	elseif (k <= 2.85e+51)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (k <= 1.02e+148)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (k <= 1.15e+184)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * 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 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (k <= -8.5e+200)
		tmp = y0 * (y5 * -(k * y2));
	elseif (k <= -1.42e+17)
		tmp = t_1;
	elseif (k <= -4.6e-143)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (k <= 1.9e-300)
		tmp = y0 * (x * ((c * y2) - (b * j)));
	elseif (k <= 1.8e-187)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (k <= 2.85e-103)
		tmp = t_1;
	elseif (k <= 2.95e-30)
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	elseif (k <= 2.85e+51)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (k <= 1.02e+148)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (k <= 1.15e+184)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -8.5e+200], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.42e+17], t$95$1, If[LessEqual[k, -4.6e-143], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.9e-300], N[(y0 * N[(x * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.8e-187], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.85e-103], t$95$1, If[LessEqual[k, 2.95e-30], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.85e+51], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.02e+148], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.15e+184], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if k < -8.5e200

   1. Initial program 12.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 40.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 44.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 50.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 50.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 50.4%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 41.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 41.9%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 50.9%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 50.9%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 50.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 50.9%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -8.5e200 < k < -1.42e17 or 1.79999999999999997e-187 < k < 2.8499999999999998e-103

   1. Initial program 36.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 50.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 47.2%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -1.42e17 < k < -4.60000000000000023e-143

   1. Initial program 18.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 46.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y around inf 52.8%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if -4.60000000000000023e-143 < k < 1.90000000000000006e-300

   1. Initial program 38.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 30.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 53.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around 0 47.6%

      \[\leadsto y0 \cdot \color{blue}{\left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 47.6%

         \[\leadsto y0 \cdot \left(x \cdot \left(\color{blue}{y2 \cdot c} - b \cdot j\right)\right) \]

      2. *-commutative 47.6%

         \[\leadsto y0 \cdot \left(x \cdot \left(y2 \cdot c - \color{blue}{j \cdot b}\right)\right) \]

   7. Simplified 47.6%

      \[\leadsto y0 \cdot \color{blue}{\left(x \cdot \left(y2 \cdot c - j \cdot b\right)\right)} \]

   if 1.90000000000000006e-300 < k < 1.79999999999999997e-187

   1. Initial program 37.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 64.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 64.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 64.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 64.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 64.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 64.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   6. Taylor expanded in t around inf 49.5%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 2.8499999999999998e-103 < k < 2.9499999999999999e-30

   1. Initial program 35.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 55.3%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 55.3%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 55.3%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 55.3%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 55.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 55.3%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 55.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 55.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 55.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 55.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 55.3%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in a around inf 55.9%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 55.9%

         \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Simplified 55.9%

      \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 2.9499999999999999e-30 < k < 2.8500000000000001e51

   1. Initial program 25.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 44.7%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 44.7%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 44.7%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 44.2%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 44.2%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 44.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y2 around inf 57.0%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 57.0%

          \[\leadsto t \cdot \left(y2 \cdot \left(\color{blue}{y5 \cdot a} - c \cdot y4\right)\right) \]

   11. Simplified 57.0%

       \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(y5 \cdot a - c \cdot y4\right)\right)} \]

   if 2.8500000000000001e51 < k < 1.02e148

   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 y1 around -inf 56.3%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 56.3%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 56.3%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 56.3%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 56.3%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 56.8%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 1.02e148 < k < 1.15e184

   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 y1 around -inf 87.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 87.5%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 87.5%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 87.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 87.5%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y3 around -inf 75.6%

      \[\leadsto \color{blue}{y1 \cdot \left(y3 \cdot \left(a \cdot z - j \cdot y4\right)\right)} \]

   if 1.15e184 < k

   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 x around inf 43.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 54.3%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 52.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -8.5 \cdot 10^{+200}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.42 \cdot 10^{+17}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -4.6 \cdot 10^{-143}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;k \leq 1.9 \cdot 10^{-300}:\\ \;\;\;\;y0 \cdot \left(x \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;k \leq 1.8 \cdot 10^{-187}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 2.85 \cdot 10^{-103}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 2.95 \cdot 10^{-30}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.85 \cdot 10^{+51}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 1.02 \cdot 10^{+148}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;k \leq 1.15 \cdot 10^{+184}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 20: 26.3% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ t_2 := b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{if}\;y2 \leq -6.2 \cdot 10^{+195}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq -2.8 \cdot 10^{+131}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -2.75 \cdot 10^{+73}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -1.32 \cdot 10^{-84}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.15 \cdot 10^{-128}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq 5.5 \cdot 10^{-91}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;y2 \leq 10000:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 4.8 \cdot 10^{+62}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{+133}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{+242}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y4 (* y1 y2)))) (t_2 (* b (* y (- (* x a) (* k y4))))))
   (if (<= y2 -6.2e+195)
     (* y0 (* y2 (* x c)))
     (if (<= y2 -2.8e+131)
       (* k (* y1 (* y2 y4)))
       (if (<= y2 -2.75e+73)
         (* b (* x (- (* y a) (* j y0))))
         (if (<= y2 -1.32e-84)
           (* a (* y (- (* x b) (* y3 y5))))
           (if (<= y2 1.15e-128)
             t_2
             (if (<= y2 5.5e-91)
               (* (* x y) (* a b))
               (if (<= y2 10000.0)
                 (* j (* y5 (* y0 y3)))
                 (if (<= y2 4.8e+62)
                   t_1
                   (if (<= y2 1.2e+133)
                     t_2
                     (if (<= y2 6.5e+242)
                       t_1
                       (* y0 (* (* y2 y5) (- 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 = k * (y4 * (y1 * y2));
	double t_2 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y2 <= -6.2e+195) {
		tmp = y0 * (y2 * (x * c));
	} else if (y2 <= -2.8e+131) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y2 <= -2.75e+73) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y2 <= -1.32e-84) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (y2 <= 1.15e-128) {
		tmp = t_2;
	} else if (y2 <= 5.5e-91) {
		tmp = (x * y) * (a * b);
	} else if (y2 <= 10000.0) {
		tmp = j * (y5 * (y0 * y3));
	} else if (y2 <= 4.8e+62) {
		tmp = t_1;
	} else if (y2 <= 1.2e+133) {
		tmp = t_2;
	} else if (y2 <= 6.5e+242) {
		tmp = t_1;
	} else {
		tmp = y0 * ((y2 * y5) * -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) :: t_2
    real(8) :: tmp
    t_1 = k * (y4 * (y1 * y2))
    t_2 = b * (y * ((x * a) - (k * y4)))
    if (y2 <= (-6.2d+195)) then
        tmp = y0 * (y2 * (x * c))
    else if (y2 <= (-2.8d+131)) then
        tmp = k * (y1 * (y2 * y4))
    else if (y2 <= (-2.75d+73)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y2 <= (-1.32d-84)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (y2 <= 1.15d-128) then
        tmp = t_2
    else if (y2 <= 5.5d-91) then
        tmp = (x * y) * (a * b)
    else if (y2 <= 10000.0d0) then
        tmp = j * (y5 * (y0 * y3))
    else if (y2 <= 4.8d+62) then
        tmp = t_1
    else if (y2 <= 1.2d+133) then
        tmp = t_2
    else if (y2 <= 6.5d+242) then
        tmp = t_1
    else
        tmp = y0 * ((y2 * y5) * -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 = k * (y4 * (y1 * y2));
	double t_2 = b * (y * ((x * a) - (k * y4)));
	double tmp;
	if (y2 <= -6.2e+195) {
		tmp = y0 * (y2 * (x * c));
	} else if (y2 <= -2.8e+131) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y2 <= -2.75e+73) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y2 <= -1.32e-84) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (y2 <= 1.15e-128) {
		tmp = t_2;
	} else if (y2 <= 5.5e-91) {
		tmp = (x * y) * (a * b);
	} else if (y2 <= 10000.0) {
		tmp = j * (y5 * (y0 * y3));
	} else if (y2 <= 4.8e+62) {
		tmp = t_1;
	} else if (y2 <= 1.2e+133) {
		tmp = t_2;
	} else if (y2 <= 6.5e+242) {
		tmp = t_1;
	} else {
		tmp = y0 * ((y2 * y5) * -k);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (y4 * (y1 * y2))
	t_2 = b * (y * ((x * a) - (k * y4)))
	tmp = 0
	if y2 <= -6.2e+195:
		tmp = y0 * (y2 * (x * c))
	elif y2 <= -2.8e+131:
		tmp = k * (y1 * (y2 * y4))
	elif y2 <= -2.75e+73:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y2 <= -1.32e-84:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif y2 <= 1.15e-128:
		tmp = t_2
	elif y2 <= 5.5e-91:
		tmp = (x * y) * (a * b)
	elif y2 <= 10000.0:
		tmp = j * (y5 * (y0 * y3))
	elif y2 <= 4.8e+62:
		tmp = t_1
	elif y2 <= 1.2e+133:
		tmp = t_2
	elif y2 <= 6.5e+242:
		tmp = t_1
	else:
		tmp = y0 * ((y2 * y5) * -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(k * Float64(y4 * Float64(y1 * y2)))
	t_2 = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))))
	tmp = 0.0
	if (y2 <= -6.2e+195)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	elseif (y2 <= -2.8e+131)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (y2 <= -2.75e+73)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y2 <= -1.32e-84)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (y2 <= 1.15e-128)
		tmp = t_2;
	elseif (y2 <= 5.5e-91)
		tmp = Float64(Float64(x * y) * Float64(a * b));
	elseif (y2 <= 10000.0)
		tmp = Float64(j * Float64(y5 * Float64(y0 * y3)));
	elseif (y2 <= 4.8e+62)
		tmp = t_1;
	elseif (y2 <= 1.2e+133)
		tmp = t_2;
	elseif (y2 <= 6.5e+242)
		tmp = t_1;
	else
		tmp = Float64(y0 * Float64(Float64(y2 * y5) * Float64(-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 = k * (y4 * (y1 * y2));
	t_2 = b * (y * ((x * a) - (k * y4)));
	tmp = 0.0;
	if (y2 <= -6.2e+195)
		tmp = y0 * (y2 * (x * c));
	elseif (y2 <= -2.8e+131)
		tmp = k * (y1 * (y2 * y4));
	elseif (y2 <= -2.75e+73)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y2 <= -1.32e-84)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (y2 <= 1.15e-128)
		tmp = t_2;
	elseif (y2 <= 5.5e-91)
		tmp = (x * y) * (a * b);
	elseif (y2 <= 10000.0)
		tmp = j * (y5 * (y0 * y3));
	elseif (y2 <= 4.8e+62)
		tmp = t_1;
	elseif (y2 <= 1.2e+133)
		tmp = t_2;
	elseif (y2 <= 6.5e+242)
		tmp = t_1;
	else
		tmp = y0 * ((y2 * y5) * -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[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -6.2e+195], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.8e+131], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.75e+73], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.32e-84], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.15e-128], t$95$2, If[LessEqual[y2, 5.5e-91], N[(N[(x * y), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 10000.0], N[(j * N[(y5 * N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4.8e+62], t$95$1, If[LessEqual[y2, 1.2e+133], t$95$2, If[LessEqual[y2, 6.5e+242], t$95$1, N[(y0 * N[(N[(y2 * y5), $MachinePrecision] * (-k)), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y2 < -6.2000000000000004e195

   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 x around inf 38.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 54.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 58.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 58.6%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 58.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 58.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 58.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 58.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 58.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 58.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 58.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 58.6%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 62.9%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 59.0%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 59.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 59.0%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]

   if -6.2000000000000004e195 < y2 < -2.8000000000000001e131

   1. Initial program 7.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 38.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 70.0%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   5. Taylor expanded in y1 around inf 61.9%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]

   if -2.8000000000000001e131 < y2 < -2.7500000000000001e73

   1. Initial program 37.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 44.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 44.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -2.7500000000000001e73 < y2 < -1.31999999999999989e-84

   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 y around inf 33.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 46.2%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -1.31999999999999989e-84 < y2 < 1.15e-128 or 4.8e62 < y2 < 1.1999999999999999e133

   1. Initial program 27.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 34.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 38.2%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 38.2%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 38.2%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. sub-neg 38.2%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 38.2%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if 1.15e-128 < y2 < 5.49999999999999965e-91

   1. Initial program 41.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 58.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 34.6%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 27.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 42.5%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   7. Simplified 42.5%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   if 5.49999999999999965e-91 < y2 < 1e4

   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 x around inf 53.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 80.3%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 80.3%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 80.3%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 80.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 80.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 80.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 80.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 80.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 80.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 80.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 80.3%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in y3 around inf 48.3%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 54.7%

         \[\leadsto j \cdot \color{blue}{\left(\left(y0 \cdot y3\right) \cdot y5\right)} \]

   10. Simplified 54.7%

       \[\leadsto \color{blue}{j \cdot \left(\left(y0 \cdot y3\right) \cdot y5\right)} \]

   if 1e4 < y2 < 4.8e62 or 1.1999999999999999e133 < y2 < 6.49999999999999992e242

   1. Initial program 42.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 54.9%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 46.3%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   5. Taylor expanded in y1 around inf 40.3%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.5%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

      2. *-commutative 46.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot y1\right)} \cdot y4\right) \]

   7. Simplified 46.5%

      \[\leadsto k \cdot \color{blue}{\left(\left(y2 \cdot y1\right) \cdot y4\right)} \]

   if 6.49999999999999992e242 < y2

   1. Initial program 13.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 46.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 47.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in k around inf 74.0%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 74.0%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

   7. Simplified 74.0%

      \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 47.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -6.2 \cdot 10^{+195}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq -2.8 \cdot 10^{+131}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -2.75 \cdot 10^{+73}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -1.32 \cdot 10^{-84}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.15 \cdot 10^{-128}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 5.5 \cdot 10^{-91}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;y2 \leq 10000:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq 4.8 \cdot 10^{+62}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{+133}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{+242}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 21: 29.6% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{if}\;a \leq -1.35 \cdot 10^{+196}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -4.4 \cdot 10^{-114}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -1.12 \cdot 10^{-210}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq -1.02 \cdot 10^{-238}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 6.8 \cdot 10^{-283}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{-131}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{-67}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1200:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 1.55 \cdot 10^{+134}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (- (* y0 y2) (* y i))))))
   (if (<= a -1.35e+196)
     (* a (* y (- (* x b) (* y3 y5))))
     (if (<= a -4.4e-114)
       (* b (* z (- (* k y0) (* t a))))
       (if (<= a -1.12e-210)
         (* t (* y2 (- (* a y5) (* c y4))))
         (if (<= a -1.02e-238)
           (* y0 (* y5 (- (* k y2))))
           (if (<= a 6.8e-283)
             t_1
             (if (<= a 3.4e-131)
               (* c (* y4 (- (* y y3) (* t y2))))
               (if (<= a 3.4e-67)
                 (* y1 (* y4 (- (* k y2) (* j y3))))
                 (if (<= a 1200.0)
                   t_1
                   (if (<= a 1.55e+134)
                     (* i (* y1 (- (* x j) (* z k))))
                     (* a (* y1 (- (* z y3) (* x 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 = c * (x * ((y0 * y2) - (y * i)));
	double tmp;
	if (a <= -1.35e+196) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -4.4e-114) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (a <= -1.12e-210) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (a <= -1.02e-238) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (a <= 6.8e-283) {
		tmp = t_1;
	} else if (a <= 3.4e-131) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (a <= 3.4e-67) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (a <= 1200.0) {
		tmp = t_1;
	} else if (a <= 1.55e+134) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = a * (y1 * ((z * y3) - (x * 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 = c * (x * ((y0 * y2) - (y * i)))
    if (a <= (-1.35d+196)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (a <= (-4.4d-114)) then
        tmp = b * (z * ((k * y0) - (t * a)))
    else if (a <= (-1.12d-210)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (a <= (-1.02d-238)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (a <= 6.8d-283) then
        tmp = t_1
    else if (a <= 3.4d-131) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (a <= 3.4d-67) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (a <= 1200.0d0) then
        tmp = t_1
    else if (a <= 1.55d+134) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else
        tmp = a * (y1 * ((z * y3) - (x * 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 = c * (x * ((y0 * y2) - (y * i)));
	double tmp;
	if (a <= -1.35e+196) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -4.4e-114) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (a <= -1.12e-210) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (a <= -1.02e-238) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (a <= 6.8e-283) {
		tmp = t_1;
	} else if (a <= 3.4e-131) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (a <= 3.4e-67) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (a <= 1200.0) {
		tmp = t_1;
	} else if (a <= 1.55e+134) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (x * ((y0 * y2) - (y * i)))
	tmp = 0
	if a <= -1.35e+196:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif a <= -4.4e-114:
		tmp = b * (z * ((k * y0) - (t * a)))
	elif a <= -1.12e-210:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif a <= -1.02e-238:
		tmp = y0 * (y5 * -(k * y2))
	elif a <= 6.8e-283:
		tmp = t_1
	elif a <= 3.4e-131:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif a <= 3.4e-67:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif a <= 1200.0:
		tmp = t_1
	elif a <= 1.55e+134:
		tmp = i * (y1 * ((x * j) - (z * k)))
	else:
		tmp = a * (y1 * ((z * y3) - (x * 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(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))))
	tmp = 0.0
	if (a <= -1.35e+196)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (a <= -4.4e-114)
		tmp = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (a <= -1.12e-210)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (a <= -1.02e-238)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (a <= 6.8e-283)
		tmp = t_1;
	elseif (a <= 3.4e-131)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (a <= 3.4e-67)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (a <= 1200.0)
		tmp = t_1;
	elseif (a <= 1.55e+134)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	else
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * 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 = c * (x * ((y0 * y2) - (y * i)));
	tmp = 0.0;
	if (a <= -1.35e+196)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (a <= -4.4e-114)
		tmp = b * (z * ((k * y0) - (t * a)));
	elseif (a <= -1.12e-210)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (a <= -1.02e-238)
		tmp = y0 * (y5 * -(k * y2));
	elseif (a <= 6.8e-283)
		tmp = t_1;
	elseif (a <= 3.4e-131)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (a <= 3.4e-67)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (a <= 1200.0)
		tmp = t_1;
	elseif (a <= 1.55e+134)
		tmp = i * (y1 * ((x * j) - (z * k)));
	else
		tmp = a * (y1 * ((z * y3) - (x * 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[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1.35e+196], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.4e-114], N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.12e-210], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.02e-238], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.8e-283], t$95$1, If[LessEqual[a, 3.4e-131], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.4e-67], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1200.0], t$95$1, If[LessEqual[a, 1.55e+134], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if a < -1.34999999999999998e196

   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 y around inf 34.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 69.6%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -1.34999999999999998e196 < a < -4.40000000000000022e-114

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 41.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in z around -inf 46.9%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 46.9%

         \[\leadsto \color{blue}{\left(-1 \cdot b\right) \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

      2. mul-1-neg 46.9%

         \[\leadsto \color{blue}{\left(-b\right)} \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right) \]

   6. Simplified 46.9%

      \[\leadsto \color{blue}{\left(-b\right) \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   if -4.40000000000000022e-114 < a < -1.1199999999999999e-210

   1. Initial program 18.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 36.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 36.8%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 36.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 73.0%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 64.2%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 64.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y2 around inf 63.9%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 63.9%

          \[\leadsto t \cdot \left(y2 \cdot \left(\color{blue}{y5 \cdot a} - c \cdot y4\right)\right) \]

   11. Simplified 63.9%

       \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(y5 \cdot a - c \cdot y4\right)\right)} \]

   if -1.1199999999999999e-210 < a < -1.01999999999999992e-238

   1. Initial program 57.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 57.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 71.9%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 57.5%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 57.5%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 57.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 57.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 57.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 57.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 71.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 71.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 71.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 71.2%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 58.2%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 58.2%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 72.0%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 72.0%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 72.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 72.0%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -1.01999999999999992e-238 < a < 6.7999999999999996e-283 or 3.4000000000000001e-67 < a < 1200

   1. Initial program 42.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 47.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in c around inf 43.2%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

   if 6.7999999999999996e-283 < a < 3.39999999999999995e-131

   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 y4 around inf 60.9%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 60.9%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 60.9%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in c around inf 51.3%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 51.3%

         \[\leadsto \color{blue}{-c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   8. Simplified 51.3%

      \[\leadsto \color{blue}{-c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 3.39999999999999995e-131 < a < 3.4000000000000001e-67

   1. Initial program 21.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 42.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y4 around inf 48.6%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

   if 1200 < a < 1.54999999999999991e134

   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 y1 around -inf 47.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 47.7%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 47.7%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 47.7%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 44.1%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 1.54999999999999991e134 < a

   1. Initial program 8.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 40.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 40.4%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 40.4%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.4%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in a around inf 60.8%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 60.8%

         \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Simplified 60.8%

      \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 52.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.35 \cdot 10^{+196}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -4.4 \cdot 10^{-114}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -1.12 \cdot 10^{-210}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq -1.02 \cdot 10^{-238}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 6.8 \cdot 10^{-283}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{-131}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 3.4 \cdot 10^{-67}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1200:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 1.55 \cdot 10^{+134}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 22: 29.5% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{if}\;a \leq -8.4 \cdot 10^{+195}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -2.26 \cdot 10^{-116}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -4.4 \cdot 10^{-211}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq -4.6 \cdot 10^{-239}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.45 \cdot 10^{-213}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{-102}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 1.06 \cdot 10^{-67}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 0.025:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 2 \cdot 10^{+131}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* x (- (* y0 y2) (* y i))))))
   (if (<= a -8.4e+195)
     (* a (* y (- (* x b) (* y3 y5))))
     (if (<= a -2.26e-116)
       (* b (* z (- (* k y0) (* t a))))
       (if (<= a -4.4e-211)
         (* t (* y2 (- (* a y5) (* c y4))))
         (if (<= a -4.6e-239)
           (* y0 (* y5 (- (* k y2))))
           (if (<= a 1.45e-213)
             t_1
             (if (<= a 1.5e-102)
               (* j (* y5 (- (* y0 y3) (* t i))))
               (if (<= a 1.06e-67)
                 (* k (* y1 (- (* y2 y4) (* z i))))
                 (if (<= a 0.025)
                   t_1
                   (if (<= a 2e+131)
                     (* i (* y1 (- (* x j) (* z k))))
                     (* a (* y1 (- (* z y3) (* x 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 = c * (x * ((y0 * y2) - (y * i)));
	double tmp;
	if (a <= -8.4e+195) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -2.26e-116) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (a <= -4.4e-211) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (a <= -4.6e-239) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (a <= 1.45e-213) {
		tmp = t_1;
	} else if (a <= 1.5e-102) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (a <= 1.06e-67) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (a <= 0.025) {
		tmp = t_1;
	} else if (a <= 2e+131) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = a * (y1 * ((z * y3) - (x * 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 = c * (x * ((y0 * y2) - (y * i)))
    if (a <= (-8.4d+195)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (a <= (-2.26d-116)) then
        tmp = b * (z * ((k * y0) - (t * a)))
    else if (a <= (-4.4d-211)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (a <= (-4.6d-239)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (a <= 1.45d-213) then
        tmp = t_1
    else if (a <= 1.5d-102) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (a <= 1.06d-67) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (a <= 0.025d0) then
        tmp = t_1
    else if (a <= 2d+131) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else
        tmp = a * (y1 * ((z * y3) - (x * 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 = c * (x * ((y0 * y2) - (y * i)));
	double tmp;
	if (a <= -8.4e+195) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -2.26e-116) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (a <= -4.4e-211) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (a <= -4.6e-239) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (a <= 1.45e-213) {
		tmp = t_1;
	} else if (a <= 1.5e-102) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (a <= 1.06e-67) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (a <= 0.025) {
		tmp = t_1;
	} else if (a <= 2e+131) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (x * ((y0 * y2) - (y * i)))
	tmp = 0
	if a <= -8.4e+195:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif a <= -2.26e-116:
		tmp = b * (z * ((k * y0) - (t * a)))
	elif a <= -4.4e-211:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif a <= -4.6e-239:
		tmp = y0 * (y5 * -(k * y2))
	elif a <= 1.45e-213:
		tmp = t_1
	elif a <= 1.5e-102:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif a <= 1.06e-67:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif a <= 0.025:
		tmp = t_1
	elif a <= 2e+131:
		tmp = i * (y1 * ((x * j) - (z * k)))
	else:
		tmp = a * (y1 * ((z * y3) - (x * 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(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))))
	tmp = 0.0
	if (a <= -8.4e+195)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (a <= -2.26e-116)
		tmp = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (a <= -4.4e-211)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (a <= -4.6e-239)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (a <= 1.45e-213)
		tmp = t_1;
	elseif (a <= 1.5e-102)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (a <= 1.06e-67)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (a <= 0.025)
		tmp = t_1;
	elseif (a <= 2e+131)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	else
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * 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 = c * (x * ((y0 * y2) - (y * i)));
	tmp = 0.0;
	if (a <= -8.4e+195)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (a <= -2.26e-116)
		tmp = b * (z * ((k * y0) - (t * a)));
	elseif (a <= -4.4e-211)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (a <= -4.6e-239)
		tmp = y0 * (y5 * -(k * y2));
	elseif (a <= 1.45e-213)
		tmp = t_1;
	elseif (a <= 1.5e-102)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (a <= 1.06e-67)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (a <= 0.025)
		tmp = t_1;
	elseif (a <= 2e+131)
		tmp = i * (y1 * ((x * j) - (z * k)));
	else
		tmp = a * (y1 * ((z * y3) - (x * 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[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -8.4e+195], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.26e-116], N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.4e-211], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.6e-239], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.45e-213], t$95$1, If[LessEqual[a, 1.5e-102], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.06e-67], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 0.025], t$95$1, If[LessEqual[a, 2e+131], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if a < -8.40000000000000038e195

   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 y around inf 34.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 69.6%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -8.40000000000000038e195 < a < -2.25999999999999994e-116

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 41.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in z around -inf 46.9%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 46.9%

         \[\leadsto \color{blue}{\left(-1 \cdot b\right) \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

      2. mul-1-neg 46.9%

         \[\leadsto \color{blue}{\left(-b\right)} \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right) \]

   6. Simplified 46.9%

      \[\leadsto \color{blue}{\left(-b\right) \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   if -2.25999999999999994e-116 < a < -4.39999999999999996e-211

   1. Initial program 18.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 36.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 36.8%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 36.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 73.0%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 64.2%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 64.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y2 around inf 63.9%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 63.9%

          \[\leadsto t \cdot \left(y2 \cdot \left(\color{blue}{y5 \cdot a} - c \cdot y4\right)\right) \]

   11. Simplified 63.9%

       \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(y5 \cdot a - c \cdot y4\right)\right)} \]

   if -4.39999999999999996e-211 < a < -4.5999999999999998e-239

   1. Initial program 57.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 57.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 71.9%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 57.5%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 57.5%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 57.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 57.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 57.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 57.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 71.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 71.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 71.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 71.2%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 58.2%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 58.2%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 72.0%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 72.0%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 72.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 72.0%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -4.5999999999999998e-239 < a < 1.45e-213 or 1.06e-67 < a < 0.025000000000000001

   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 x around inf 48.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in c around inf 41.7%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

   if 1.45e-213 < a < 1.5e-102

   1. Initial program 40.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 59.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 59.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 59.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 59.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 59.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 59.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   6. Taylor expanded in y5 around -inf 59.6%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 59.6%

         \[\leadsto \color{blue}{-j \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)} \]

   8. Simplified 59.6%

      \[\leadsto \color{blue}{-j \cdot \left(y5 \cdot \left(i \cdot t - y0 \cdot y3\right)\right)} \]

   if 1.5e-102 < a < 1.06e-67

   1. Initial program 27.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 65.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 65.0%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 65.0%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 65.0%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 65.0%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 65.0%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 65.0%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 65.0%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 65.0%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 65.0%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 65.0%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around inf 47.8%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(-1 \cdot \left(i \cdot z\right) + y2 \cdot y4\right)\right)} \]

   if 0.025000000000000001 < a < 1.9999999999999998e131

   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 y1 around -inf 47.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 47.7%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 47.7%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 47.7%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 47.7%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 44.1%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 1.9999999999999998e131 < a

   1. Initial program 8.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 40.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 40.4%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 40.4%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.4%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in a around inf 60.8%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 60.8%

         \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Simplified 60.8%

      \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 52.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -8.4 \cdot 10^{+195}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -2.26 \cdot 10^{-116}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -4.4 \cdot 10^{-211}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq -4.6 \cdot 10^{-239}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.45 \cdot 10^{-213}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{-102}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 1.06 \cdot 10^{-67}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 0.025:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 2 \cdot 10^{+131}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 23: 29.6% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -1.46 \cdot 10^{+196}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -5 \cdot 10^{-109}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -2.1 \cdot 10^{-210}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq -2.55 \cdot 10^{-238}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 10^{-282}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{-101}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.95 \cdot 10^{-56}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 6.1 \cdot 10^{+16}:\\ \;\;\;\;x \cdot \left(j \cdot \left(c \cdot \frac{y0 \cdot y2}{j} - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 5 \cdot 10^{+133}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= a -1.46e+196)
   (* a (* y (- (* x b) (* y3 y5))))
   (if (<= a -5e-109)
     (* b (* z (- (* k y0) (* t a))))
     (if (<= a -2.1e-210)
       (* t (* y2 (- (* a y5) (* c y4))))
       (if (<= a -2.55e-238)
         (* y0 (* y5 (- (* k y2))))
         (if (<= a 1e-282)
           (* c (* x (- (* y0 y2) (* y i))))
           (if (<= a 9.5e-101)
             (* c (* y4 (- (* y y3) (* t y2))))
             (if (<= a 1.95e-56)
               (* i (* y (- (* k y5) (* x c))))
               (if (<= a 6.1e+16)
                 (* x (* j (- (* c (/ (* y0 y2) j)) (* b y0))))
                 (if (<= a 5e+133)
                   (* i (* y1 (- (* x j) (* z k))))
                   (* a (* y1 (- (* z y3) (* x 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 (a <= -1.46e+196) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -5e-109) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (a <= -2.1e-210) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (a <= -2.55e-238) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (a <= 1e-282) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (a <= 9.5e-101) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (a <= 1.95e-56) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (a <= 6.1e+16) {
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)));
	} else if (a <= 5e+133) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = a * (y1 * ((z * y3) - (x * 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 (a <= (-1.46d+196)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (a <= (-5d-109)) then
        tmp = b * (z * ((k * y0) - (t * a)))
    else if (a <= (-2.1d-210)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (a <= (-2.55d-238)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (a <= 1d-282) then
        tmp = c * (x * ((y0 * y2) - (y * i)))
    else if (a <= 9.5d-101) then
        tmp = c * (y4 * ((y * y3) - (t * y2)))
    else if (a <= 1.95d-56) then
        tmp = i * (y * ((k * y5) - (x * c)))
    else if (a <= 6.1d+16) then
        tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)))
    else if (a <= 5d+133) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else
        tmp = a * (y1 * ((z * y3) - (x * 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 (a <= -1.46e+196) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -5e-109) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (a <= -2.1e-210) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (a <= -2.55e-238) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (a <= 1e-282) {
		tmp = c * (x * ((y0 * y2) - (y * i)));
	} else if (a <= 9.5e-101) {
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	} else if (a <= 1.95e-56) {
		tmp = i * (y * ((k * y5) - (x * c)));
	} else if (a <= 6.1e+16) {
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)));
	} else if (a <= 5e+133) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = a * (y1 * ((z * y3) - (x * 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 a <= -1.46e+196:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif a <= -5e-109:
		tmp = b * (z * ((k * y0) - (t * a)))
	elif a <= -2.1e-210:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif a <= -2.55e-238:
		tmp = y0 * (y5 * -(k * y2))
	elif a <= 1e-282:
		tmp = c * (x * ((y0 * y2) - (y * i)))
	elif a <= 9.5e-101:
		tmp = c * (y4 * ((y * y3) - (t * y2)))
	elif a <= 1.95e-56:
		tmp = i * (y * ((k * y5) - (x * c)))
	elif a <= 6.1e+16:
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)))
	elif a <= 5e+133:
		tmp = i * (y1 * ((x * j) - (z * k)))
	else:
		tmp = a * (y1 * ((z * y3) - (x * 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 (a <= -1.46e+196)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (a <= -5e-109)
		tmp = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (a <= -2.1e-210)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (a <= -2.55e-238)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (a <= 1e-282)
		tmp = Float64(c * Float64(x * Float64(Float64(y0 * y2) - Float64(y * i))));
	elseif (a <= 9.5e-101)
		tmp = Float64(c * Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2))));
	elseif (a <= 1.95e-56)
		tmp = Float64(i * Float64(y * Float64(Float64(k * y5) - Float64(x * c))));
	elseif (a <= 6.1e+16)
		tmp = Float64(x * Float64(j * Float64(Float64(c * Float64(Float64(y0 * y2) / j)) - Float64(b * y0))));
	elseif (a <= 5e+133)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	else
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * 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 (a <= -1.46e+196)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (a <= -5e-109)
		tmp = b * (z * ((k * y0) - (t * a)));
	elseif (a <= -2.1e-210)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (a <= -2.55e-238)
		tmp = y0 * (y5 * -(k * y2));
	elseif (a <= 1e-282)
		tmp = c * (x * ((y0 * y2) - (y * i)));
	elseif (a <= 9.5e-101)
		tmp = c * (y4 * ((y * y3) - (t * y2)));
	elseif (a <= 1.95e-56)
		tmp = i * (y * ((k * y5) - (x * c)));
	elseif (a <= 6.1e+16)
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)));
	elseif (a <= 5e+133)
		tmp = i * (y1 * ((x * j) - (z * k)));
	else
		tmp = a * (y1 * ((z * y3) - (x * 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[a, -1.46e+196], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5e-109], N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.1e-210], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.55e-238], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1e-282], N[(c * N[(x * N[(N[(y0 * y2), $MachinePrecision] - N[(y * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 9.5e-101], N[(c * N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.95e-56], N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.1e+16], N[(x * N[(j * N[(N[(c * N[(N[(y0 * y2), $MachinePrecision] / j), $MachinePrecision]), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5e+133], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if a < -1.4600000000000001e196

   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 y around inf 34.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 69.6%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -1.4600000000000001e196 < a < -5.0000000000000002e-109

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 41.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in z around -inf 46.9%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 46.9%

         \[\leadsto \color{blue}{\left(-1 \cdot b\right) \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

      2. mul-1-neg 46.9%

         \[\leadsto \color{blue}{\left(-b\right)} \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right) \]

   6. Simplified 46.9%

      \[\leadsto \color{blue}{\left(-b\right) \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   if -5.0000000000000002e-109 < a < -2.10000000000000016e-210

   1. Initial program 18.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 36.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 36.8%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 36.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 73.0%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 64.2%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 64.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y2 around inf 63.9%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 63.9%

          \[\leadsto t \cdot \left(y2 \cdot \left(\color{blue}{y5 \cdot a} - c \cdot y4\right)\right) \]

   11. Simplified 63.9%

       \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(y5 \cdot a - c \cdot y4\right)\right)} \]

   if -2.10000000000000016e-210 < a < -2.55e-238

   1. Initial program 57.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 57.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 71.9%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 57.5%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 57.5%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 57.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 57.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 57.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 57.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 71.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 71.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 71.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 71.2%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 58.2%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 58.2%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 72.0%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 72.0%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 72.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 72.0%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -2.55e-238 < a < 1e-282

   1. Initial program 44.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 55.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in c around inf 38.2%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(-1 \cdot \left(i \cdot y\right) + y0 \cdot y2\right)\right)} \]

   if 1e-282 < a < 9.49999999999999994e-101

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 55.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 55.8%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 55.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in c around inf 48.7%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 48.7%

         \[\leadsto \color{blue}{-c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   8. Simplified 48.7%

      \[\leadsto \color{blue}{-c \cdot \left(y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 9.49999999999999994e-101 < a < 1.95e-56

   1. Initial program 27.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in i around inf 47.4%

      \[\leadsto \color{blue}{i \cdot \left(y \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)} \]

   if 1.95e-56 < a < 6.1e16

   1. Initial program 45.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 36.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around 0 47.0%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   6. Taylor expanded in j around inf 55.8%

      \[\leadsto x \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot y0\right) + \frac{c \cdot \left(y0 \cdot y2\right)}{j}\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 55.8%

         \[\leadsto x \cdot \left(j \cdot \color{blue}{\left(\frac{c \cdot \left(y0 \cdot y2\right)}{j} + -1 \cdot \left(b \cdot y0\right)\right)}\right) \]

      2. mul-1-neg 55.8%

         \[\leadsto x \cdot \left(j \cdot \left(\frac{c \cdot \left(y0 \cdot y2\right)}{j} + \color{blue}{\left(-b \cdot y0\right)}\right)\right) \]

      3. unsub-neg 55.8%

         \[\leadsto x \cdot \left(j \cdot \color{blue}{\left(\frac{c \cdot \left(y0 \cdot y2\right)}{j} - b \cdot y0\right)}\right) \]

      4. associate-/l* 73.6%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{c \cdot \frac{y0 \cdot y2}{j}} - b \cdot y0\right)\right) \]

      5. *-commutative 73.6%

         \[\leadsto x \cdot \left(j \cdot \left(c \cdot \frac{\color{blue}{y2 \cdot y0}}{j} - b \cdot y0\right)\right) \]

   8. Simplified 73.6%

      \[\leadsto x \cdot \color{blue}{\left(j \cdot \left(c \cdot \frac{y2 \cdot y0}{j} - b \cdot y0\right)\right)} \]

   if 6.1e16 < a < 4.99999999999999961e133

   1. Initial program 26.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 47.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 47.5%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 47.5%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 47.5%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 43.7%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 4.99999999999999961e133 < a

   1. Initial program 8.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 40.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 40.4%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 40.4%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.4%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in a around inf 60.8%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 60.8%

         \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Simplified 60.8%

      \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 53.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.46 \cdot 10^{+196}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -5 \cdot 10^{-109}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -2.1 \cdot 10^{-210}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq -2.55 \cdot 10^{-238}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 10^{-282}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2 - y \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{-101}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.95 \cdot 10^{-56}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 6.1 \cdot 10^{+16}:\\ \;\;\;\;x \cdot \left(j \cdot \left(c \cdot \frac{y0 \cdot y2}{j} - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 5 \cdot 10^{+133}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 24: 26.0% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ t_2 := y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{if}\;a \leq -1.32 \cdot 10^{+196}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{-58}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq -2.5 \cdot 10^{-153}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -4.5 \cdot 10^{-268}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{-286}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.46 \cdot 10^{-195}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq 2 \cdot 10^{-47}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+265}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0)))))
        (t_2 (* y0 (* y5 (- (* k y2))))))
   (if (<= a -1.32e+196)
     (* a (* y (- (* x b) (* y3 y5))))
     (if (<= a -5.8e-58)
       t_1
       (if (<= a -2.5e-153)
         (* y0 (* y2 (* x c)))
         (if (<= a -4.5e-268)
           t_2
           (if (<= a 5.2e-286)
             (* c (* x (* y0 y2)))
             (if (<= a 1.46e-195)
               t_2
               (if (<= a 2e-47)
                 (* t (* c (- (* y2 y4))))
                 (if (<= a 5.4e+265) t_1 (* t (* a (* y2 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 = b * (x * ((y * a) - (j * y0)));
	double t_2 = y0 * (y5 * -(k * y2));
	double tmp;
	if (a <= -1.32e+196) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -5.8e-58) {
		tmp = t_1;
	} else if (a <= -2.5e-153) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= -4.5e-268) {
		tmp = t_2;
	} else if (a <= 5.2e-286) {
		tmp = c * (x * (y0 * y2));
	} else if (a <= 1.46e-195) {
		tmp = t_2;
	} else if (a <= 2e-47) {
		tmp = t * (c * -(y2 * y4));
	} else if (a <= 5.4e+265) {
		tmp = t_1;
	} else {
		tmp = t * (a * (y2 * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (x * ((y * a) - (j * y0)))
    t_2 = y0 * (y5 * -(k * y2))
    if (a <= (-1.32d+196)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (a <= (-5.8d-58)) then
        tmp = t_1
    else if (a <= (-2.5d-153)) then
        tmp = y0 * (y2 * (x * c))
    else if (a <= (-4.5d-268)) then
        tmp = t_2
    else if (a <= 5.2d-286) then
        tmp = c * (x * (y0 * y2))
    else if (a <= 1.46d-195) then
        tmp = t_2
    else if (a <= 2d-47) then
        tmp = t * (c * -(y2 * y4))
    else if (a <= 5.4d+265) then
        tmp = t_1
    else
        tmp = t * (a * (y2 * 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 = b * (x * ((y * a) - (j * y0)));
	double t_2 = y0 * (y5 * -(k * y2));
	double tmp;
	if (a <= -1.32e+196) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -5.8e-58) {
		tmp = t_1;
	} else if (a <= -2.5e-153) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= -4.5e-268) {
		tmp = t_2;
	} else if (a <= 5.2e-286) {
		tmp = c * (x * (y0 * y2));
	} else if (a <= 1.46e-195) {
		tmp = t_2;
	} else if (a <= 2e-47) {
		tmp = t * (c * -(y2 * y4));
	} else if (a <= 5.4e+265) {
		tmp = t_1;
	} else {
		tmp = t * (a * (y2 * y5));
	}
	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 * a) - (j * y0)))
	t_2 = y0 * (y5 * -(k * y2))
	tmp = 0
	if a <= -1.32e+196:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif a <= -5.8e-58:
		tmp = t_1
	elif a <= -2.5e-153:
		tmp = y0 * (y2 * (x * c))
	elif a <= -4.5e-268:
		tmp = t_2
	elif a <= 5.2e-286:
		tmp = c * (x * (y0 * y2))
	elif a <= 1.46e-195:
		tmp = t_2
	elif a <= 2e-47:
		tmp = t * (c * -(y2 * y4))
	elif a <= 5.4e+265:
		tmp = t_1
	else:
		tmp = t * (a * (y2 * 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(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	t_2 = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))))
	tmp = 0.0
	if (a <= -1.32e+196)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (a <= -5.8e-58)
		tmp = t_1;
	elseif (a <= -2.5e-153)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	elseif (a <= -4.5e-268)
		tmp = t_2;
	elseif (a <= 5.2e-286)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (a <= 1.46e-195)
		tmp = t_2;
	elseif (a <= 2e-47)
		tmp = Float64(t * Float64(c * Float64(-Float64(y2 * y4))));
	elseif (a <= 5.4e+265)
		tmp = t_1;
	else
		tmp = Float64(t * Float64(a * Float64(y2 * 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 = b * (x * ((y * a) - (j * y0)));
	t_2 = y0 * (y5 * -(k * y2));
	tmp = 0.0;
	if (a <= -1.32e+196)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (a <= -5.8e-58)
		tmp = t_1;
	elseif (a <= -2.5e-153)
		tmp = y0 * (y2 * (x * c));
	elseif (a <= -4.5e-268)
		tmp = t_2;
	elseif (a <= 5.2e-286)
		tmp = c * (x * (y0 * y2));
	elseif (a <= 1.46e-195)
		tmp = t_2;
	elseif (a <= 2e-47)
		tmp = t * (c * -(y2 * y4));
	elseif (a <= 5.4e+265)
		tmp = t_1;
	else
		tmp = t * (a * (y2 * 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[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1.32e+196], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5.8e-58], t$95$1, If[LessEqual[a, -2.5e-153], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.5e-268], t$95$2, If[LessEqual[a, 5.2e-286], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.46e-195], t$95$2, If[LessEqual[a, 2e-47], N[(t * N[(c * (-N[(y2 * y4), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.4e+265], t$95$1, N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if a < -1.32e196

   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 y around inf 34.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 69.6%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -1.32e196 < a < -5.7999999999999998e-58 or 1.9999999999999999e-47 < a < 5.39999999999999968e265

   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 x around inf 38.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 40.3%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -5.7999999999999998e-58 < a < -2.50000000000000016e-153

   1. Initial program 13.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 73.9%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 63.7%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 75.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 75.6%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 75.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 75.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 75.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 75.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 75.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 75.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 75.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 75.6%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 39.4%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 51.6%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 51.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 51.6%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]

   if -2.50000000000000016e-153 < a < -4.5000000000000001e-268 or 5.1999999999999999e-286 < a < 1.45999999999999994e-195

   1. Initial program 29.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 51.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 54.2%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 56.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 56.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 56.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 56.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 56.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 56.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 58.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 58.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 58.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 58.7%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 42.8%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 42.8%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 47.4%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 47.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 47.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 47.4%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -4.5000000000000001e-268 < a < 5.1999999999999999e-286

   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 x around inf 44.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 29.5%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in c around inf 34.5%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if 1.45999999999999994e-195 < a < 1.9999999999999999e-47

   1. Initial program 40.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 44.5%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 44.5%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 44.5%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 39.4%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 36.4%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 36.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in c around inf 33.0%

      \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   10. Step-by-step derivation

       1. mul-1-neg 33.0%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

       2. distribute-rgt-neg-in 33.0%

          \[\leadsto t \cdot \color{blue}{\left(c \cdot \left(-y2 \cdot y4\right)\right)} \]

       3. distribute-rgt-neg-in 33.0%

          \[\leadsto t \cdot \left(c \cdot \color{blue}{\left(y2 \cdot \left(-y4\right)\right)}\right) \]

   11. Simplified 33.0%

       \[\leadsto t \cdot \color{blue}{\left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)} \]

   if 5.39999999999999968e265 < a

   1. Initial program 7.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 30.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 30.8%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 30.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 61.8%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 61.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 61.8%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y4 around 0 55.0%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 55.0%

          \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]

   11. Simplified 55.0%

       \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 44.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.32 \cdot 10^{+196}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{-58}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -2.5 \cdot 10^{-153}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -4.5 \cdot 10^{-268}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{-286}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 1.46 \cdot 10^{-195}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 2 \cdot 10^{-47}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+265}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 25: 30.7% accurate, 1.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;k \leq -2 \cdot 10^{+197}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.3 \cdot 10^{-209}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 1.1 \cdot 10^{-182}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 5.7 \cdot 10^{-101}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 5.2 \cdot 10^{-74}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 4.6 \cdot 10^{-31}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;k \leq 4.1 \cdot 10^{+34}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 6.2 \cdot 10^{+100}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0))))))
   (if (<= k -2e+197)
     (* y0 (* y5 (- (* k y2))))
     (if (<= k -2.3e-209)
       t_1
       (if (<= k 1.1e-182)
         (* j (* t (- (* b y4) (* i y5))))
         (if (<= k 5.7e-101)
           t_1
           (if (<= k 5.2e-74)
             (* a (* y5 (- (* t y2) (* y y3))))
             (if (<= k 4.6e-31)
               (* y0 (* y2 (* x c)))
               (if (<= k 4.1e+34)
                 (* t (* y2 (- (* a y5) (* c y4))))
                 (if (<= k 6.2e+100)
                   (* i (* y1 (- (* x j) (* z k))))
                   (* k (* y2 (- (* y1 y4) (* y0 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 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -2e+197) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -2.3e-209) {
		tmp = t_1;
	} else if (k <= 1.1e-182) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 5.7e-101) {
		tmp = t_1;
	} else if (k <= 5.2e-74) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (k <= 4.6e-31) {
		tmp = y0 * (y2 * (x * c));
	} else if (k <= 4.1e+34) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 6.2e+100) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = b * (x * ((y * a) - (j * y0)))
    if (k <= (-2d+197)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (k <= (-2.3d-209)) then
        tmp = t_1
    else if (k <= 1.1d-182) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (k <= 5.7d-101) then
        tmp = t_1
    else if (k <= 5.2d-74) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (k <= 4.6d-31) then
        tmp = y0 * (y2 * (x * c))
    else if (k <= 4.1d+34) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (k <= 6.2d+100) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -2e+197) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -2.3e-209) {
		tmp = t_1;
	} else if (k <= 1.1e-182) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 5.7e-101) {
		tmp = t_1;
	} else if (k <= 5.2e-74) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (k <= 4.6e-31) {
		tmp = y0 * (y2 * (x * c));
	} else if (k <= 4.1e+34) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (k <= 6.2e+100) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	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 * a) - (j * y0)))
	tmp = 0
	if k <= -2e+197:
		tmp = y0 * (y5 * -(k * y2))
	elif k <= -2.3e-209:
		tmp = t_1
	elif k <= 1.1e-182:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif k <= 5.7e-101:
		tmp = t_1
	elif k <= 5.2e-74:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif k <= 4.6e-31:
		tmp = y0 * (y2 * (x * c))
	elif k <= 4.1e+34:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif k <= 6.2e+100:
		tmp = i * (y1 * ((x * j) - (z * k)))
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (k <= -2e+197)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (k <= -2.3e-209)
		tmp = t_1;
	elseif (k <= 1.1e-182)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (k <= 5.7e-101)
		tmp = t_1;
	elseif (k <= 5.2e-74)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (k <= 4.6e-31)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	elseif (k <= 4.1e+34)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (k <= 6.2e+100)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * 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 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (k <= -2e+197)
		tmp = y0 * (y5 * -(k * y2));
	elseif (k <= -2.3e-209)
		tmp = t_1;
	elseif (k <= 1.1e-182)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (k <= 5.7e-101)
		tmp = t_1;
	elseif (k <= 5.2e-74)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (k <= 4.6e-31)
		tmp = y0 * (y2 * (x * c));
	elseif (k <= 4.1e+34)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (k <= 6.2e+100)
		tmp = i * (y1 * ((x * j) - (z * k)));
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -2e+197], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.3e-209], t$95$1, If[LessEqual[k, 1.1e-182], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 5.7e-101], t$95$1, If[LessEqual[k, 5.2e-74], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 4.6e-31], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 4.1e+34], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 6.2e+100], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if k < -1.9999999999999999e197

   1. Initial program 12.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 40.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 44.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 50.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 50.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 50.4%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 41.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 41.9%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 50.9%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 50.9%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 50.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 50.9%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -1.9999999999999999e197 < k < -2.3e-209 or 1.1e-182 < k < 5.69999999999999983e-101

   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 x around inf 45.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 42.7%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -2.3e-209 < k < 1.1e-182

   1. Initial program 32.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 52.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 52.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 52.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 52.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 52.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 52.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   6. Taylor expanded in t around inf 41.3%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 5.69999999999999983e-101 < k < 5.2000000000000002e-74

   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 y4 around inf 45.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 45.1%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 45.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in a around inf 57.0%

      \[\leadsto \color{blue}{a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 5.2000000000000002e-74 < k < 4.5999999999999997e-31

   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 x around inf 45.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 28.6%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 45.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 45.9%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 45.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 45.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 45.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 45.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 45.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 45.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 45.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 45.9%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 38.0%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 46.7%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 46.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 46.7%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]

   if 4.5999999999999997e-31 < k < 4.0999999999999998e34

   1. Initial program 21.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 50.6%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 50.6%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 50.6%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 50.5%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 50.5%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 50.5%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y2 around inf 64.9%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 64.9%

          \[\leadsto t \cdot \left(y2 \cdot \left(\color{blue}{y5 \cdot a} - c \cdot y4\right)\right) \]

   11. Simplified 64.9%

       \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(y5 \cdot a - c \cdot y4\right)\right)} \]

   if 4.0999999999999998e34 < k < 6.20000000000000014e100

   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 y1 around -inf 68.2%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 68.2%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 68.2%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 68.2%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 68.2%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 68.2%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 68.2%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 68.2%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 68.2%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 68.2%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 68.2%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 56.8%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 6.20000000000000014e100 < k

   1. Initial program 21.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 49.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 50.2%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 47.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -2 \cdot 10^{+197}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.3 \cdot 10^{-209}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.1 \cdot 10^{-182}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 5.7 \cdot 10^{-101}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 5.2 \cdot 10^{-74}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 4.6 \cdot 10^{-31}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;k \leq 4.1 \cdot 10^{+34}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 6.2 \cdot 10^{+100}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 26: 33.8% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ \mathbf{if}\;a \leq -8.4 \cdot 10^{+195}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -3.9 \cdot 10^{-15}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -2 \cdot 10^{-151}:\\ \;\;\;\;y2 \cdot \left(k \cdot t\_1 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{-208}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-49}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot t\_1\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+16}:\\ \;\;\;\;x \cdot \left(j \cdot \left(c \cdot \frac{y0 \cdot y2}{j} - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+135}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5))))
   (if (<= a -8.4e+195)
     (* a (* y (- (* x b) (* y3 y5))))
     (if (<= a -3.9e-15)
       (* b (* z (- (* k y0) (* t a))))
       (if (<= a -2e-151)
         (* y2 (+ (* k t_1) (* x (- (* c y0) (* a y1)))))
         (if (<= a -3.8e-208)
           (* t (+ (* y4 (* b j)) (* y2 (- (* a y5) (* c y4)))))
           (if (<= a 1.1e-49)
             (* (- (* k y2) (* j y3)) t_1)
             (if (<= a 2.6e+16)
               (* x (* j (- (* c (/ (* y0 y2) j)) (* b y0))))
               (if (<= a 4.8e+135)
                 (* i (* y1 (- (* x j) (* z k))))
                 (* a (* y1 (- (* z y3) (* x 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 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (a <= -8.4e+195) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -3.9e-15) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (a <= -2e-151) {
		tmp = y2 * ((k * t_1) + (x * ((c * y0) - (a * y1))));
	} else if (a <= -3.8e-208) {
		tmp = t * ((y4 * (b * j)) + (y2 * ((a * y5) - (c * y4))));
	} else if (a <= 1.1e-49) {
		tmp = ((k * y2) - (j * y3)) * t_1;
	} else if (a <= 2.6e+16) {
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)));
	} else if (a <= 4.8e+135) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = a * (y1 * ((z * y3) - (x * 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 = (y1 * y4) - (y0 * y5)
    if (a <= (-8.4d+195)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (a <= (-3.9d-15)) then
        tmp = b * (z * ((k * y0) - (t * a)))
    else if (a <= (-2d-151)) then
        tmp = y2 * ((k * t_1) + (x * ((c * y0) - (a * y1))))
    else if (a <= (-3.8d-208)) then
        tmp = t * ((y4 * (b * j)) + (y2 * ((a * y5) - (c * y4))))
    else if (a <= 1.1d-49) then
        tmp = ((k * y2) - (j * y3)) * t_1
    else if (a <= 2.6d+16) then
        tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)))
    else if (a <= 4.8d+135) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else
        tmp = a * (y1 * ((z * y3) - (x * 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 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (a <= -8.4e+195) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -3.9e-15) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (a <= -2e-151) {
		tmp = y2 * ((k * t_1) + (x * ((c * y0) - (a * y1))));
	} else if (a <= -3.8e-208) {
		tmp = t * ((y4 * (b * j)) + (y2 * ((a * y5) - (c * y4))));
	} else if (a <= 1.1e-49) {
		tmp = ((k * y2) - (j * y3)) * t_1;
	} else if (a <= 2.6e+16) {
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)));
	} else if (a <= 4.8e+135) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	}
	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)
	tmp = 0
	if a <= -8.4e+195:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif a <= -3.9e-15:
		tmp = b * (z * ((k * y0) - (t * a)))
	elif a <= -2e-151:
		tmp = y2 * ((k * t_1) + (x * ((c * y0) - (a * y1))))
	elif a <= -3.8e-208:
		tmp = t * ((y4 * (b * j)) + (y2 * ((a * y5) - (c * y4))))
	elif a <= 1.1e-49:
		tmp = ((k * y2) - (j * y3)) * t_1
	elif a <= 2.6e+16:
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)))
	elif a <= 4.8e+135:
		tmp = i * (y1 * ((x * j) - (z * k)))
	else:
		tmp = a * (y1 * ((z * y3) - (x * 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(y1 * y4) - Float64(y0 * y5))
	tmp = 0.0
	if (a <= -8.4e+195)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (a <= -3.9e-15)
		tmp = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (a <= -2e-151)
		tmp = Float64(y2 * Float64(Float64(k * t_1) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))));
	elseif (a <= -3.8e-208)
		tmp = Float64(t * Float64(Float64(y4 * Float64(b * j)) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (a <= 1.1e-49)
		tmp = Float64(Float64(Float64(k * y2) - Float64(j * y3)) * t_1);
	elseif (a <= 2.6e+16)
		tmp = Float64(x * Float64(j * Float64(Float64(c * Float64(Float64(y0 * y2) / j)) - Float64(b * y0))));
	elseif (a <= 4.8e+135)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	else
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * 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 = (y1 * y4) - (y0 * y5);
	tmp = 0.0;
	if (a <= -8.4e+195)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (a <= -3.9e-15)
		tmp = b * (z * ((k * y0) - (t * a)));
	elseif (a <= -2e-151)
		tmp = y2 * ((k * t_1) + (x * ((c * y0) - (a * y1))));
	elseif (a <= -3.8e-208)
		tmp = t * ((y4 * (b * j)) + (y2 * ((a * y5) - (c * y4))));
	elseif (a <= 1.1e-49)
		tmp = ((k * y2) - (j * y3)) * t_1;
	elseif (a <= 2.6e+16)
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)));
	elseif (a <= 4.8e+135)
		tmp = i * (y1 * ((x * j) - (z * k)));
	else
		tmp = a * (y1 * ((z * y3) - (x * 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[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -8.4e+195], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.9e-15], N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2e-151], N[(y2 * N[(N[(k * t$95$1), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.8e-208], N[(t * N[(N[(y4 * N[(b * j), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.1e-49], N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * t$95$1), $MachinePrecision], If[LessEqual[a, 2.6e+16], N[(x * N[(j * N[(N[(c * N[(N[(y0 * y2), $MachinePrecision] / j), $MachinePrecision]), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 4.8e+135], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if a < -8.40000000000000038e195

   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 y around inf 34.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 69.6%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -8.40000000000000038e195 < a < -3.90000000000000026e-15

   1. Initial program 22.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 40.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in z around -inf 50.9%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 50.9%

         \[\leadsto \color{blue}{\left(-1 \cdot b\right) \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

      2. mul-1-neg 50.9%

         \[\leadsto \color{blue}{\left(-b\right)} \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right) \]

   6. Simplified 50.9%

      \[\leadsto \color{blue}{\left(-b\right) \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   if -3.90000000000000026e-15 < a < -1.9999999999999999e-151

   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 x around inf 63.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y2 around inf 58.9%

      \[\leadsto \color{blue}{y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   if -1.9999999999999999e-151 < a < -3.80000000000000011e-208

   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 y4 around inf 50.6%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 50.6%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 50.6%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 87.5%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 75.4%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 75.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -3.80000000000000011e-208 < a < 1.09999999999999995e-49

   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 x around inf 51.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in x around 0 49.0%

      \[\leadsto \color{blue}{\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

   if 1.09999999999999995e-49 < a < 2.6e16

   1. Initial program 45.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 36.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around 0 47.0%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   6. Taylor expanded in j around inf 55.8%

      \[\leadsto x \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot y0\right) + \frac{c \cdot \left(y0 \cdot y2\right)}{j}\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 55.8%

         \[\leadsto x \cdot \left(j \cdot \color{blue}{\left(\frac{c \cdot \left(y0 \cdot y2\right)}{j} + -1 \cdot \left(b \cdot y0\right)\right)}\right) \]

      2. mul-1-neg 55.8%

         \[\leadsto x \cdot \left(j \cdot \left(\frac{c \cdot \left(y0 \cdot y2\right)}{j} + \color{blue}{\left(-b \cdot y0\right)}\right)\right) \]

      3. unsub-neg 55.8%

         \[\leadsto x \cdot \left(j \cdot \color{blue}{\left(\frac{c \cdot \left(y0 \cdot y2\right)}{j} - b \cdot y0\right)}\right) \]

      4. associate-/l* 73.6%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{c \cdot \frac{y0 \cdot y2}{j}} - b \cdot y0\right)\right) \]

      5. *-commutative 73.6%

         \[\leadsto x \cdot \left(j \cdot \left(c \cdot \frac{\color{blue}{y2 \cdot y0}}{j} - b \cdot y0\right)\right) \]

   8. Simplified 73.6%

      \[\leadsto x \cdot \color{blue}{\left(j \cdot \left(c \cdot \frac{y2 \cdot y0}{j} - b \cdot y0\right)\right)} \]

   if 2.6e16 < a < 4.79999999999999995e135

   1. Initial program 26.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 47.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 47.5%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 47.5%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 47.5%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 43.7%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 4.79999999999999995e135 < a

   1. Initial program 8.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 40.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 40.4%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 40.4%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.4%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in a around inf 60.8%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 60.8%

         \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Simplified 60.8%

      \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 55.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -8.4 \cdot 10^{+195}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -3.9 \cdot 10^{-15}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -2 \cdot 10^{-151}:\\ \;\;\;\;y2 \cdot \left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq -3.8 \cdot 10^{-208}:\\ \;\;\;\;t \cdot \left(y4 \cdot \left(b \cdot j\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-49}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+16}:\\ \;\;\;\;x \cdot \left(j \cdot \left(c \cdot \frac{y0 \cdot y2}{j} - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 4.8 \cdot 10^{+135}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 27: 19.3% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{if}\;a \leq -4.8 \cdot 10^{-58}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq -4.8 \cdot 10^{-183}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -2.6 \cdot 10^{-208}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 4.1 \cdot 10^{-285}:\\ \;\;\;\;k \cdot \left(\left(-y5\right) \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 2.3 \cdot 10^{-194}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-95}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{+266}:\\ \;\;\;\;\left(-y0\right) \cdot \left(b \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* c (- (* y2 y4))))))
   (if (<= a -4.8e-58)
     (* (* x y) (* a b))
     (if (<= a -4.8e-183)
       (* y0 (* y2 (* x c)))
       (if (<= a -2.6e-208)
         t_1
         (if (<= a 4.1e-285)
           (* k (* (- y5) (* y0 y2)))
           (if (<= a 2.3e-194)
             (* y0 (* y5 (- (* k y2))))
             (if (<= a 6.2e-95)
               t_1
               (if (<= a 5.2e+266)
                 (* (- y0) (* b (* x j)))
                 (* t (* a (* y2 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 = t * (c * -(y2 * y4));
	double tmp;
	if (a <= -4.8e-58) {
		tmp = (x * y) * (a * b);
	} else if (a <= -4.8e-183) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= -2.6e-208) {
		tmp = t_1;
	} else if (a <= 4.1e-285) {
		tmp = k * (-y5 * (y0 * y2));
	} else if (a <= 2.3e-194) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (a <= 6.2e-95) {
		tmp = t_1;
	} else if (a <= 5.2e+266) {
		tmp = -y0 * (b * (x * j));
	} else {
		tmp = t * (a * (y2 * 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 = t * (c * -(y2 * y4))
    if (a <= (-4.8d-58)) then
        tmp = (x * y) * (a * b)
    else if (a <= (-4.8d-183)) then
        tmp = y0 * (y2 * (x * c))
    else if (a <= (-2.6d-208)) then
        tmp = t_1
    else if (a <= 4.1d-285) then
        tmp = k * (-y5 * (y0 * y2))
    else if (a <= 2.3d-194) then
        tmp = y0 * (y5 * -(k * y2))
    else if (a <= 6.2d-95) then
        tmp = t_1
    else if (a <= 5.2d+266) then
        tmp = -y0 * (b * (x * j))
    else
        tmp = t * (a * (y2 * 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 = t * (c * -(y2 * y4));
	double tmp;
	if (a <= -4.8e-58) {
		tmp = (x * y) * (a * b);
	} else if (a <= -4.8e-183) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= -2.6e-208) {
		tmp = t_1;
	} else if (a <= 4.1e-285) {
		tmp = k * (-y5 * (y0 * y2));
	} else if (a <= 2.3e-194) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (a <= 6.2e-95) {
		tmp = t_1;
	} else if (a <= 5.2e+266) {
		tmp = -y0 * (b * (x * j));
	} else {
		tmp = t * (a * (y2 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (c * -(y2 * y4))
	tmp = 0
	if a <= -4.8e-58:
		tmp = (x * y) * (a * b)
	elif a <= -4.8e-183:
		tmp = y0 * (y2 * (x * c))
	elif a <= -2.6e-208:
		tmp = t_1
	elif a <= 4.1e-285:
		tmp = k * (-y5 * (y0 * y2))
	elif a <= 2.3e-194:
		tmp = y0 * (y5 * -(k * y2))
	elif a <= 6.2e-95:
		tmp = t_1
	elif a <= 5.2e+266:
		tmp = -y0 * (b * (x * j))
	else:
		tmp = t * (a * (y2 * 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(t * Float64(c * Float64(-Float64(y2 * y4))))
	tmp = 0.0
	if (a <= -4.8e-58)
		tmp = Float64(Float64(x * y) * Float64(a * b));
	elseif (a <= -4.8e-183)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	elseif (a <= -2.6e-208)
		tmp = t_1;
	elseif (a <= 4.1e-285)
		tmp = Float64(k * Float64(Float64(-y5) * Float64(y0 * y2)));
	elseif (a <= 2.3e-194)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (a <= 6.2e-95)
		tmp = t_1;
	elseif (a <= 5.2e+266)
		tmp = Float64(Float64(-y0) * Float64(b * Float64(x * j)));
	else
		tmp = Float64(t * Float64(a * Float64(y2 * 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 = t * (c * -(y2 * y4));
	tmp = 0.0;
	if (a <= -4.8e-58)
		tmp = (x * y) * (a * b);
	elseif (a <= -4.8e-183)
		tmp = y0 * (y2 * (x * c));
	elseif (a <= -2.6e-208)
		tmp = t_1;
	elseif (a <= 4.1e-285)
		tmp = k * (-y5 * (y0 * y2));
	elseif (a <= 2.3e-194)
		tmp = y0 * (y5 * -(k * y2));
	elseif (a <= 6.2e-95)
		tmp = t_1;
	elseif (a <= 5.2e+266)
		tmp = -y0 * (b * (x * j));
	else
		tmp = t * (a * (y2 * 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[(t * N[(c * (-N[(y2 * y4), $MachinePrecision])), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -4.8e-58], N[(N[(x * y), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.8e-183], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.6e-208], t$95$1, If[LessEqual[a, 4.1e-285], N[(k * N[((-y5) * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.3e-194], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.2e-95], t$95$1, If[LessEqual[a, 5.2e+266], N[((-y0) * N[(b * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if a < -4.8000000000000001e-58

   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 y around inf 40.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 44.0%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 37.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 42.6%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   7. Simplified 42.6%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   if -4.8000000000000001e-58 < a < -4.79999999999999986e-183

   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 x around inf 57.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 50.8%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 58.7%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 58.7%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 58.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 58.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 58.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 58.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 58.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 58.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 58.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 58.7%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 34.8%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 42.9%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 42.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 42.9%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]

   if -4.79999999999999986e-183 < a < -2.60000000000000017e-208 or 2.30000000000000003e-194 < a < 6.19999999999999983e-95

   1. Initial program 46.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 51.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 51.1%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 51.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 47.4%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 43.4%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 43.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in c around inf 43.4%

      \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   10. Step-by-step derivation

       1. mul-1-neg 43.4%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

       2. distribute-rgt-neg-in 43.4%

          \[\leadsto t \cdot \color{blue}{\left(c \cdot \left(-y2 \cdot y4\right)\right)} \]

       3. distribute-rgt-neg-in 43.4%

          \[\leadsto t \cdot \left(c \cdot \color{blue}{\left(y2 \cdot \left(-y4\right)\right)}\right) \]

   11. Simplified 43.4%

       \[\leadsto t \cdot \color{blue}{\left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)} \]

   if -2.60000000000000017e-208 < a < 4.1e-285

   1. Initial program 47.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 56.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 48.0%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 47.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 47.9%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 47.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 47.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 47.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 47.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 53.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 53.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 53.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 53.9%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 32.8%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 32.8%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. mul-1-neg 32.8%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right) \]

      3. associate-*r* 35.9%

         \[\leadsto \left(-k\right) \cdot \color{blue}{\left(\left(y0 \cdot y2\right) \cdot y5\right)} \]

      4. *-commutative 35.9%

         \[\leadsto \left(-k\right) \cdot \left(\color{blue}{\left(y2 \cdot y0\right)} \cdot y5\right) \]

   10. Simplified 35.9%

       \[\leadsto \color{blue}{\left(-k\right) \cdot \left(\left(y2 \cdot y0\right) \cdot y5\right)} \]

   if 4.1e-285 < a < 2.30000000000000003e-194

   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 x around inf 50.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 55.6%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 60.3%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 60.3%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 60.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 60.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 60.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 60.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 60.3%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 36.5%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 36.5%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 41.1%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 41.1%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 41.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 41.1%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if 6.19999999999999983e-95 < a < 5.20000000000000027e266

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 34.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 40.7%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 43.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.6%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 43.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 43.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 43.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 43.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 45.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 45.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 45.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 45.1%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in b around inf 29.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(j \cdot x\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 29.9%

         \[\leadsto y0 \cdot \color{blue}{\left(-b \cdot \left(j \cdot x\right)\right)} \]

      2. *-commutative 29.9%

         \[\leadsto y0 \cdot \left(-b \cdot \color{blue}{\left(x \cdot j\right)}\right) \]

   10. Simplified 29.9%

       \[\leadsto y0 \cdot \color{blue}{\left(-b \cdot \left(x \cdot j\right)\right)} \]

   if 5.20000000000000027e266 < a

   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 y4 around inf 33.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 33.3%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 33.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 58.6%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 58.6%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 58.6%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y4 around 0 59.5%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 59.5%

          \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]

   11. Simplified 59.5%

       \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 39.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -4.8 \cdot 10^{-58}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq -4.8 \cdot 10^{-183}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -2.6 \cdot 10^{-208}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 4.1 \cdot 10^{-285}:\\ \;\;\;\;k \cdot \left(\left(-y5\right) \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 2.3 \cdot 10^{-194}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-95}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{+266}:\\ \;\;\;\;\left(-y0\right) \cdot \left(b \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 28: 27.5% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ t_2 := y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \mathbf{if}\;y \leq -7 \cdot 10^{-107}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -2.4 \cdot 10^{-268}:\\ \;\;\;\;\left(y0 \cdot y2\right) \cdot \left(x \cdot c\right)\\ \mathbf{elif}\;y \leq 1.5 \cdot 10^{-272}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq 7.6 \cdot 10^{-182}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{-89}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq 1.06 \cdot 10^{-65}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* y (- (* x b) (* y3 y5)))))
        (t_2 (* y0 (* (* y2 y5) (- k)))))
   (if (<= y -7e-107)
     t_1
     (if (<= y -2.4e-268)
       (* (* y0 y2) (* x c))
       (if (<= y 1.5e-272)
         t_2
         (if (<= y 7.6e-182)
           (* c (* x (* y0 y2)))
           (if (<= y 4.6e-89)
             t_2
             (if (<= y 1.06e-65) (* k (* y1 (* y2 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 = a * (y * ((x * b) - (y3 * y5)));
	double t_2 = y0 * ((y2 * y5) * -k);
	double tmp;
	if (y <= -7e-107) {
		tmp = t_1;
	} else if (y <= -2.4e-268) {
		tmp = (y0 * y2) * (x * c);
	} else if (y <= 1.5e-272) {
		tmp = t_2;
	} else if (y <= 7.6e-182) {
		tmp = c * (x * (y0 * y2));
	} else if (y <= 4.6e-89) {
		tmp = t_2;
	} else if (y <= 1.06e-65) {
		tmp = k * (y1 * (y2 * 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) :: t_2
    real(8) :: tmp
    t_1 = a * (y * ((x * b) - (y3 * y5)))
    t_2 = y0 * ((y2 * y5) * -k)
    if (y <= (-7d-107)) then
        tmp = t_1
    else if (y <= (-2.4d-268)) then
        tmp = (y0 * y2) * (x * c)
    else if (y <= 1.5d-272) then
        tmp = t_2
    else if (y <= 7.6d-182) then
        tmp = c * (x * (y0 * y2))
    else if (y <= 4.6d-89) then
        tmp = t_2
    else if (y <= 1.06d-65) then
        tmp = k * (y1 * (y2 * 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 = a * (y * ((x * b) - (y3 * y5)));
	double t_2 = y0 * ((y2 * y5) * -k);
	double tmp;
	if (y <= -7e-107) {
		tmp = t_1;
	} else if (y <= -2.4e-268) {
		tmp = (y0 * y2) * (x * c);
	} else if (y <= 1.5e-272) {
		tmp = t_2;
	} else if (y <= 7.6e-182) {
		tmp = c * (x * (y0 * y2));
	} else if (y <= 4.6e-89) {
		tmp = t_2;
	} else if (y <= 1.06e-65) {
		tmp = k * (y1 * (y2 * 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 = a * (y * ((x * b) - (y3 * y5)))
	t_2 = y0 * ((y2 * y5) * -k)
	tmp = 0
	if y <= -7e-107:
		tmp = t_1
	elif y <= -2.4e-268:
		tmp = (y0 * y2) * (x * c)
	elif y <= 1.5e-272:
		tmp = t_2
	elif y <= 7.6e-182:
		tmp = c * (x * (y0 * y2))
	elif y <= 4.6e-89:
		tmp = t_2
	elif y <= 1.06e-65:
		tmp = k * (y1 * (y2 * 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(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))))
	t_2 = Float64(y0 * Float64(Float64(y2 * y5) * Float64(-k)))
	tmp = 0.0
	if (y <= -7e-107)
		tmp = t_1;
	elseif (y <= -2.4e-268)
		tmp = Float64(Float64(y0 * y2) * Float64(x * c));
	elseif (y <= 1.5e-272)
		tmp = t_2;
	elseif (y <= 7.6e-182)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y <= 4.6e-89)
		tmp = t_2;
	elseif (y <= 1.06e-65)
		tmp = Float64(k * Float64(y1 * Float64(y2 * 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 = a * (y * ((x * b) - (y3 * y5)));
	t_2 = y0 * ((y2 * y5) * -k);
	tmp = 0.0;
	if (y <= -7e-107)
		tmp = t_1;
	elseif (y <= -2.4e-268)
		tmp = (y0 * y2) * (x * c);
	elseif (y <= 1.5e-272)
		tmp = t_2;
	elseif (y <= 7.6e-182)
		tmp = c * (x * (y0 * y2));
	elseif (y <= 4.6e-89)
		tmp = t_2;
	elseif (y <= 1.06e-65)
		tmp = k * (y1 * (y2 * 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[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y0 * N[(N[(y2 * y5), $MachinePrecision] * (-k)), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -7e-107], t$95$1, If[LessEqual[y, -2.4e-268], N[(N[(y0 * y2), $MachinePrecision] * N[(x * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.5e-272], t$95$2, If[LessEqual[y, 7.6e-182], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 4.6e-89], t$95$2, If[LessEqual[y, 1.06e-65], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y < -6.99999999999999971e-107 or 1.0600000000000001e-65 < y

   1. Initial program 24.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 39.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 46.2%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -6.99999999999999971e-107 < y < -2.3999999999999999e-268

   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 x around inf 57.2%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 57.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in c around inf 31.7%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 34.7%

         \[\leadsto \color{blue}{\left(c \cdot x\right) \cdot \left(y0 \cdot y2\right)} \]

      2. *-commutative 34.7%

         \[\leadsto \color{blue}{\left(x \cdot c\right)} \cdot \left(y0 \cdot y2\right) \]

      3. *-commutative 34.7%

         \[\leadsto \left(x \cdot c\right) \cdot \color{blue}{\left(y2 \cdot y0\right)} \]

   7. Simplified 34.7%

      \[\leadsto \color{blue}{\left(x \cdot c\right) \cdot \left(y2 \cdot y0\right)} \]

   if -2.3999999999999999e-268 < y < 1.5000000000000001e-272 or 7.6000000000000006e-182 < y < 4.6e-89

   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 x around inf 47.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 39.3%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in k around inf 31.3%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 31.3%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

   7. Simplified 31.3%

      \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

   if 1.5000000000000001e-272 < y < 7.6000000000000006e-182

   1. Initial program 39.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 48.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 48.1%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in c around inf 35.7%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if 4.6e-89 < y < 1.0600000000000001e-65

   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 x around inf 33.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 66.7%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   5. Taylor expanded in y1 around inf 100.0%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 41.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -7 \cdot 10^{-107}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq -2.4 \cdot 10^{-268}:\\ \;\;\;\;\left(y0 \cdot y2\right) \cdot \left(x \cdot c\right)\\ \mathbf{elif}\;y \leq 1.5 \cdot 10^{-272}:\\ \;\;\;\;y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \mathbf{elif}\;y \leq 7.6 \cdot 10^{-182}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 4.6 \cdot 10^{-89}:\\ \;\;\;\;y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \mathbf{elif}\;y \leq 1.06 \cdot 10^{-65}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 29: 28.4% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;j \leq -7.6 \cdot 10^{-40}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -4.5 \cdot 10^{-123}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq -3.1 \cdot 10^{-287}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 1.6 \cdot 10^{-105}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 1.05 \cdot 10^{-23}:\\ \;\;\;\;c \cdot \left(t \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 6.8 \cdot 10^{+21}:\\ \;\;\;\;\left(-x\right) \cdot \left(b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= j -7.6e-40)
   (* i (* y1 (- (* x j) (* z k))))
   (if (<= j -4.5e-123)
     (* y0 (* y5 (- (* k y2))))
     (if (<= j -3.1e-287)
       (* b (* y (- (* x a) (* k y4))))
       (if (<= j 1.6e-105)
         (* a (* y (- (* x b) (* y3 y5))))
         (if (<= j 1.05e-23)
           (* c (* t (- (* y2 y4))))
           (if (<= j 6.8e+21)
             (* (- x) (* b (* j y0)))
             (* b (* x (- (* y a) (* j 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 tmp;
	if (j <= -7.6e-40) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (j <= -4.5e-123) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (j <= -3.1e-287) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (j <= 1.6e-105) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (j <= 1.05e-23) {
		tmp = c * (t * -(y2 * y4));
	} else if (j <= 6.8e+21) {
		tmp = -x * (b * (j * y0));
	} else {
		tmp = b * (x * ((y * a) - (j * 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) :: tmp
    if (j <= (-7.6d-40)) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (j <= (-4.5d-123)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (j <= (-3.1d-287)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (j <= 1.6d-105) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (j <= 1.05d-23) then
        tmp = c * (t * -(y2 * y4))
    else if (j <= 6.8d+21) then
        tmp = -x * (b * (j * y0))
    else
        tmp = b * (x * ((y * a) - (j * 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 tmp;
	if (j <= -7.6e-40) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (j <= -4.5e-123) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (j <= -3.1e-287) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (j <= 1.6e-105) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (j <= 1.05e-23) {
		tmp = c * (t * -(y2 * y4));
	} else if (j <= 6.8e+21) {
		tmp = -x * (b * (j * y0));
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if j <= -7.6e-40:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif j <= -4.5e-123:
		tmp = y0 * (y5 * -(k * y2))
	elif j <= -3.1e-287:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif j <= 1.6e-105:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif j <= 1.05e-23:
		tmp = c * (t * -(y2 * y4))
	elif j <= 6.8e+21:
		tmp = -x * (b * (j * y0))
	else:
		tmp = b * (x * ((y * a) - (j * y0)))
	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 (j <= -7.6e-40)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (j <= -4.5e-123)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (j <= -3.1e-287)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (j <= 1.6e-105)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (j <= 1.05e-23)
		tmp = Float64(c * Float64(t * Float64(-Float64(y2 * y4))));
	elseif (j <= 6.8e+21)
		tmp = Float64(Float64(-x) * Float64(b * Float64(j * y0)));
	else
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * 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)
	tmp = 0.0;
	if (j <= -7.6e-40)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (j <= -4.5e-123)
		tmp = y0 * (y5 * -(k * y2));
	elseif (j <= -3.1e-287)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (j <= 1.6e-105)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (j <= 1.05e-23)
		tmp = c * (t * -(y2 * y4));
	elseif (j <= 6.8e+21)
		tmp = -x * (b * (j * y0));
	else
		tmp = b * (x * ((y * a) - (j * y0)));
	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[j, -7.6e-40], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -4.5e-123], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -3.1e-287], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.6e-105], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 1.05e-23], N[(c * N[(t * (-N[(y2 * y4), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 6.8e+21], N[((-x) * N[(b * N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if j < -7.5999999999999998e-40

   1. Initial program 24.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 40.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 40.4%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 40.4%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.4%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 44.5%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -7.5999999999999998e-40 < j < -4.49999999999999993e-123

   1. Initial program 25.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 58.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 58.9%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 62.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 62.9%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 62.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 62.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 62.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 62.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 67.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 67.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 67.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 67.1%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 42.8%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 42.8%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 46.6%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 46.6%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 46.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 46.6%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -4.49999999999999993e-123 < j < -3.1000000000000001e-287

   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 y around inf 32.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 43.8%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 43.8%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 43.8%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. sub-neg 43.8%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

   6. Simplified 43.8%

      \[\leadsto \color{blue}{b \cdot \left(y \cdot \left(a \cdot x - k \cdot y4\right)\right)} \]

   if -3.1000000000000001e-287 < j < 1.59999999999999991e-105

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 44.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 45.0%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if 1.59999999999999991e-105 < j < 1.05e-23

   1. Initial program 42.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 47.9%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 47.9%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 47.9%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 43.4%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 43.4%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 43.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in c around inf 33.7%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   10. Step-by-step derivation

       1. mul-1-neg 33.7%

          \[\leadsto \color{blue}{-c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)} \]

       2. *-commutative 33.7%

          \[\leadsto -\color{blue}{\left(t \cdot \left(y2 \cdot y4\right)\right) \cdot c} \]

       3. distribute-rgt-neg-in 33.7%

          \[\leadsto \color{blue}{\left(t \cdot \left(y2 \cdot y4\right)\right) \cdot \left(-c\right)} \]

   11. Simplified 33.7%

       \[\leadsto \color{blue}{\left(t \cdot \left(y2 \cdot y4\right)\right) \cdot \left(-c\right)} \]

   if 1.05e-23 < j < 6.8e21

   1. Initial program 42.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 42.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 72.3%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around 0 57.8%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   6. Taylor expanded in c around 0 58.0%

      \[\leadsto x \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(j \cdot y0\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 58.0%

         \[\leadsto x \cdot \color{blue}{\left(-b \cdot \left(j \cdot y0\right)\right)} \]

      2. distribute-rgt-neg-in 58.0%

         \[\leadsto x \cdot \color{blue}{\left(b \cdot \left(-j \cdot y0\right)\right)} \]

      3. distribute-rgt-neg-in 58.0%

         \[\leadsto x \cdot \left(b \cdot \color{blue}{\left(j \cdot \left(-y0\right)\right)}\right) \]

   8. Simplified 58.0%

      \[\leadsto x \cdot \color{blue}{\left(b \cdot \left(j \cdot \left(-y0\right)\right)\right)} \]

   if 6.8e21 < j

   1. Initial program 23.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 42.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 40.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 43.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -7.6 \cdot 10^{-40}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -4.5 \cdot 10^{-123}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;j \leq -3.1 \cdot 10^{-287}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 1.6 \cdot 10^{-105}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 1.05 \cdot 10^{-23}:\\ \;\;\;\;c \cdot \left(t \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;j \leq 6.8 \cdot 10^{+21}:\\ \;\;\;\;\left(-x\right) \cdot \left(b \cdot \left(j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 30: 30.0% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;k \leq -2.35 \cdot 10^{+198}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -3 \cdot 10^{-214}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 1.4 \cdot 10^{-177}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{-101}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq 9.8 \cdot 10^{-74}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.12 \cdot 10^{-12}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0))))))
   (if (<= k -2.35e+198)
     (* y0 (* y5 (- (* k y2))))
     (if (<= k -3e-214)
       t_1
       (if (<= k 1.4e-177)
         (* j (* t (- (* b y4) (* i y5))))
         (if (<= k 1.45e-101)
           t_1
           (if (<= k 9.8e-74)
             (* a (* y5 (- (* t y2) (* y y3))))
             (if (<= k 1.12e-12)
               (* y0 (* y2 (* x c)))
               (* k (* y2 (- (* y1 y4) (* y0 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 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -2.35e+198) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -3e-214) {
		tmp = t_1;
	} else if (k <= 1.4e-177) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 1.45e-101) {
		tmp = t_1;
	} else if (k <= 9.8e-74) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (k <= 1.12e-12) {
		tmp = y0 * (y2 * (x * c));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = b * (x * ((y * a) - (j * y0)))
    if (k <= (-2.35d+198)) then
        tmp = y0 * (y5 * -(k * y2))
    else if (k <= (-3d-214)) then
        tmp = t_1
    else if (k <= 1.4d-177) then
        tmp = j * (t * ((b * y4) - (i * y5)))
    else if (k <= 1.45d-101) then
        tmp = t_1
    else if (k <= 9.8d-74) then
        tmp = a * (y5 * ((t * y2) - (y * y3)))
    else if (k <= 1.12d-12) then
        tmp = y0 * (y2 * (x * c))
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * 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 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (k <= -2.35e+198) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (k <= -3e-214) {
		tmp = t_1;
	} else if (k <= 1.4e-177) {
		tmp = j * (t * ((b * y4) - (i * y5)));
	} else if (k <= 1.45e-101) {
		tmp = t_1;
	} else if (k <= 9.8e-74) {
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	} else if (k <= 1.12e-12) {
		tmp = y0 * (y2 * (x * c));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	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 * a) - (j * y0)))
	tmp = 0
	if k <= -2.35e+198:
		tmp = y0 * (y5 * -(k * y2))
	elif k <= -3e-214:
		tmp = t_1
	elif k <= 1.4e-177:
		tmp = j * (t * ((b * y4) - (i * y5)))
	elif k <= 1.45e-101:
		tmp = t_1
	elif k <= 9.8e-74:
		tmp = a * (y5 * ((t * y2) - (y * y3)))
	elif k <= 1.12e-12:
		tmp = y0 * (y2 * (x * c))
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (k <= -2.35e+198)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (k <= -3e-214)
		tmp = t_1;
	elseif (k <= 1.4e-177)
		tmp = Float64(j * Float64(t * Float64(Float64(b * y4) - Float64(i * y5))));
	elseif (k <= 1.45e-101)
		tmp = t_1;
	elseif (k <= 9.8e-74)
		tmp = Float64(a * Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))));
	elseif (k <= 1.12e-12)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * 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 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (k <= -2.35e+198)
		tmp = y0 * (y5 * -(k * y2));
	elseif (k <= -3e-214)
		tmp = t_1;
	elseif (k <= 1.4e-177)
		tmp = j * (t * ((b * y4) - (i * y5)));
	elseif (k <= 1.45e-101)
		tmp = t_1;
	elseif (k <= 9.8e-74)
		tmp = a * (y5 * ((t * y2) - (y * y3)));
	elseif (k <= 1.12e-12)
		tmp = y0 * (y2 * (x * c));
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * 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[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -2.35e+198], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3e-214], t$95$1, If[LessEqual[k, 1.4e-177], N[(j * N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.45e-101], t$95$1, If[LessEqual[k, 9.8e-74], N[(a * N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.12e-12], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if k < -2.3500000000000001e198

   1. Initial program 12.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 40.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 44.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 50.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 50.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 50.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 50.4%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 41.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 41.9%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 50.9%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 50.9%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 50.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 50.9%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -2.3500000000000001e198 < k < -2.99999999999999994e-214 or 1.39999999999999993e-177 < k < 1.45e-101

   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 x around inf 45.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 42.7%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -2.99999999999999994e-214 < k < 1.39999999999999993e-177

   1. Initial program 32.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 52.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 52.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 52.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 52.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 52.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 52.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   6. Taylor expanded in t around inf 41.3%

      \[\leadsto \color{blue}{j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 1.45e-101 < k < 9.8000000000000006e-74

   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 y4 around inf 45.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 45.1%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 45.1%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in a around inf 57.0%

      \[\leadsto \color{blue}{a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if 9.8000000000000006e-74 < k < 1.1200000000000001e-12

   1. Initial program 40.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 33.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 34.5%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 53.8%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 53.8%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 53.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 53.8%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 53.8%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 53.8%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 60.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 60.3%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 41.4%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 47.8%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 47.8%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]

   if 1.1200000000000001e-12 < k

   1. Initial program 21.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 47.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 43.8%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 44.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -2.35 \cdot 10^{+198}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -3 \cdot 10^{-214}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.4 \cdot 10^{-177}:\\ \;\;\;\;j \cdot \left(t \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.45 \cdot 10^{-101}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 9.8 \cdot 10^{-74}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 1.12 \cdot 10^{-12}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 31: 30.1% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{if}\;j \leq -1.05 \cdot 10^{-10}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -1.7 \cdot 10^{-100}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;j \leq -1.8 \cdot 10^{-212}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -7 \cdot 10^{-292}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;j \leq 4.05 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 5000000:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y (- (* a b) (* c i))))))
   (if (<= j -1.05e-10)
     (* i (* y1 (- (* x j) (* z k))))
     (if (<= j -1.7e-100)
       t_1
       (if (<= j -1.8e-212)
         (* k (* y2 (- (* y1 y4) (* y0 y5))))
         (if (<= j -7e-292)
           t_1
           (if (<= j 4.05e-106)
             (* a (* y (- (* x b) (* y3 y5))))
             (if (<= j 5000000.0)
               (* t (* y2 (- (* a y5) (* c y4))))
               (* b (* x (- (* y a) (* j 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 = x * (y * ((a * b) - (c * i)));
	double tmp;
	if (j <= -1.05e-10) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (j <= -1.7e-100) {
		tmp = t_1;
	} else if (j <= -1.8e-212) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (j <= -7e-292) {
		tmp = t_1;
	} else if (j <= 4.05e-106) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (j <= 5000000.0) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = x * (y * ((a * b) - (c * i)))
    if (j <= (-1.05d-10)) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (j <= (-1.7d-100)) then
        tmp = t_1
    else if (j <= (-1.8d-212)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (j <= (-7d-292)) then
        tmp = t_1
    else if (j <= 4.05d-106) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (j <= 5000000.0d0) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = b * (x * ((y * a) - (j * 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 = x * (y * ((a * b) - (c * i)));
	double tmp;
	if (j <= -1.05e-10) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (j <= -1.7e-100) {
		tmp = t_1;
	} else if (j <= -1.8e-212) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (j <= -7e-292) {
		tmp = t_1;
	} else if (j <= 4.05e-106) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (j <= 5000000.0) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	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)))
	tmp = 0
	if j <= -1.05e-10:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif j <= -1.7e-100:
		tmp = t_1
	elif j <= -1.8e-212:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif j <= -7e-292:
		tmp = t_1
	elif j <= 4.05e-106:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif j <= 5000000.0:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = b * (x * ((y * a) - (j * 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(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))))
	tmp = 0.0
	if (j <= -1.05e-10)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (j <= -1.7e-100)
		tmp = t_1;
	elseif (j <= -1.8e-212)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (j <= -7e-292)
		tmp = t_1;
	elseif (j <= 4.05e-106)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (j <= 5000000.0)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * 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 = x * (y * ((a * b) - (c * i)));
	tmp = 0.0;
	if (j <= -1.05e-10)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (j <= -1.7e-100)
		tmp = t_1;
	elseif (j <= -1.8e-212)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (j <= -7e-292)
		tmp = t_1;
	elseif (j <= 4.05e-106)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (j <= 5000000.0)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = b * (x * ((y * a) - (j * 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[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[j, -1.05e-10], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -1.7e-100], t$95$1, If[LessEqual[j, -1.8e-212], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, -7e-292], t$95$1, If[LessEqual[j, 4.05e-106], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[j, 5000000.0], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if j < -1.05e-10

   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 y1 around -inf 41.1%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 41.1%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 41.1%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 41.1%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 41.1%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 41.1%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 41.1%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 41.1%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 41.1%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 41.1%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 41.1%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 45.5%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -1.05e-10 < j < -1.69999999999999988e-100 or -1.8e-212 < j < -6.9999999999999999e-292

   1. Initial program 24.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 54.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y around inf 52.4%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if -1.69999999999999988e-100 < j < -1.8e-212

   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 x around inf 48.2%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 46.2%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if -6.9999999999999999e-292 < j < 4.0500000000000001e-106

   1. Initial program 29.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 44.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 46.5%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if 4.0500000000000001e-106 < j < 5e6

   1. Initial program 45.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 46.0%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 46.0%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 46.0%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 42.2%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 42.2%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 42.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y2 around inf 47.6%

      \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 47.6%

          \[\leadsto t \cdot \left(y2 \cdot \left(\color{blue}{y5 \cdot a} - c \cdot y4\right)\right) \]

   11. Simplified 47.6%

       \[\leadsto t \cdot \color{blue}{\left(y2 \cdot \left(y5 \cdot a - c \cdot y4\right)\right)} \]

   if 5e6 < j

   1. Initial program 23.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 42.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in b around inf 39.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 45.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;j \leq -1.05 \cdot 10^{-10}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;j \leq -1.7 \cdot 10^{-100}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;j \leq -1.8 \cdot 10^{-212}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq -7 \cdot 10^{-292}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;j \leq 4.05 \cdot 10^{-106}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;j \leq 5000000:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 32: 36.0% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ \mathbf{if}\;y5 \leq -4 \cdot 10^{-11}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq -1.6 \cdot 10^{-173}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 2.8 \cdot 10^{-75}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 1.1 \cdot 10^{+171}:\\ \;\;\;\;k \cdot \left(y2 \cdot t\_2 + b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 4.5 \cdot 10^{+260}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot t\_2\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y0
          (* y5 (- (* j y3) (+ (* k y2) (* x (/ (- (* b j) (* c y2)) y5)))))))
        (t_2 (- (* y1 y4) (* y0 y5))))
   (if (<= y5 -4e-11)
     t_1
     (if (<= y5 -1.6e-173)
       (* x (* y (- (* a b) (* c i))))
       (if (<= y5 2.8e-75)
         t_1
         (if (<= y5 1.1e+171)
           (* k (+ (* y2 t_2) (* b (- (* z y0) (* y y4)))))
           (if (<= y5 4.5e+260)
             (* (- (* k y2) (* j y3)) t_2)
             (* a (* y (- (* x b) (* y3 y5)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_2 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (y5 <= -4e-11) {
		tmp = t_1;
	} else if (y5 <= -1.6e-173) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y5 <= 2.8e-75) {
		tmp = t_1;
	} else if (y5 <= 1.1e+171) {
		tmp = k * ((y2 * t_2) + (b * ((z * y0) - (y * y4))));
	} else if (y5 <= 4.5e+260) {
		tmp = ((k * y2) - (j * y3)) * t_2;
	} else {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
    t_2 = (y1 * y4) - (y0 * y5)
    if (y5 <= (-4d-11)) then
        tmp = t_1
    else if (y5 <= (-1.6d-173)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y5 <= 2.8d-75) then
        tmp = t_1
    else if (y5 <= 1.1d+171) then
        tmp = k * ((y2 * t_2) + (b * ((z * y0) - (y * y4))))
    else if (y5 <= 4.5d+260) then
        tmp = ((k * y2) - (j * y3)) * t_2
    else
        tmp = a * (y * ((x * b) - (y3 * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	double t_2 = (y1 * y4) - (y0 * y5);
	double tmp;
	if (y5 <= -4e-11) {
		tmp = t_1;
	} else if (y5 <= -1.6e-173) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y5 <= 2.8e-75) {
		tmp = t_1;
	} else if (y5 <= 1.1e+171) {
		tmp = k * ((y2 * t_2) + (b * ((z * y0) - (y * y4))));
	} else if (y5 <= 4.5e+260) {
		tmp = ((k * y2) - (j * y3)) * t_2;
	} else {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))))
	t_2 = (y1 * y4) - (y0 * y5)
	tmp = 0
	if y5 <= -4e-11:
		tmp = t_1
	elif y5 <= -1.6e-173:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y5 <= 2.8e-75:
		tmp = t_1
	elif y5 <= 1.1e+171:
		tmp = k * ((y2 * t_2) + (b * ((z * y0) - (y * y4))))
	elif y5 <= 4.5e+260:
		tmp = ((k * y2) - (j * y3)) * t_2
	else:
		tmp = a * (y * ((x * b) - (y3 * 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(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(Float64(k * y2) + Float64(x * Float64(Float64(Float64(b * j) - Float64(c * y2)) / y5))))))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	tmp = 0.0
	if (y5 <= -4e-11)
		tmp = t_1;
	elseif (y5 <= -1.6e-173)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y5 <= 2.8e-75)
		tmp = t_1;
	elseif (y5 <= 1.1e+171)
		tmp = Float64(k * Float64(Float64(y2 * t_2) + Float64(b * Float64(Float64(z * y0) - Float64(y * y4)))));
	elseif (y5 <= 4.5e+260)
		tmp = Float64(Float64(Float64(k * y2) - Float64(j * y3)) * t_2);
	else
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * (y5 * ((j * y3) - ((k * y2) + (x * (((b * j) - (c * y2)) / y5)))));
	t_2 = (y1 * y4) - (y0 * y5);
	tmp = 0.0;
	if (y5 <= -4e-11)
		tmp = t_1;
	elseif (y5 <= -1.6e-173)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y5 <= 2.8e-75)
		tmp = t_1;
	elseif (y5 <= 1.1e+171)
		tmp = k * ((y2 * t_2) + (b * ((z * y0) - (y * y4))));
	elseif (y5 <= 4.5e+260)
		tmp = ((k * y2) - (j * y3)) * t_2;
	else
		tmp = a * (y * ((x * b) - (y3 * 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[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(N[(k * y2), $MachinePrecision] + N[(x * N[(N[(N[(b * j), $MachinePrecision] - N[(c * y2), $MachinePrecision]), $MachinePrecision] / y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -4e-11], t$95$1, If[LessEqual[y5, -1.6e-173], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.8e-75], t$95$1, If[LessEqual[y5, 1.1e+171], N[(k * N[(N[(y2 * t$95$2), $MachinePrecision] + N[(b * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 4.5e+260], N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y5 < -3.99999999999999976e-11 or -1.6e-173 < y5 < 2.79999999999999998e-75

   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 x around inf 39.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 41.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 46.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 46.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 46.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 46.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 46.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 49.0%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 49.0%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 49.0%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 49.0%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   if -3.99999999999999976e-11 < y5 < -1.6e-173

   1. Initial program 38.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 53.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y around inf 59.3%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if 2.79999999999999998e-75 < y5 < 1.1e171

   1. Initial program 32.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 45.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around -inf 53.3%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(-1 \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + b \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 53.3%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(-1 \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + b \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)} \]

      2. neg-mul-1 53.3%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(-1 \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + b \cdot \left(y \cdot y4 - y0 \cdot z\right)\right) \]

      3. +-commutative 53.3%

         \[\leadsto \left(-k\right) \cdot \color{blue}{\left(b \cdot \left(y \cdot y4 - y0 \cdot z\right) + -1 \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} \]

      4. mul-1-neg 53.3%

         \[\leadsto \left(-k\right) \cdot \left(b \cdot \left(y \cdot y4 - y0 \cdot z\right) + \color{blue}{\left(-y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) \]

      5. *-commutative 53.3%

         \[\leadsto \left(-k\right) \cdot \left(b \cdot \left(y \cdot y4 - y0 \cdot z\right) + \left(-y2 \cdot \left(\color{blue}{y4 \cdot y1} - y0 \cdot y5\right)\right)\right) \]

      6. unsub-neg 53.3%

         \[\leadsto \left(-k\right) \cdot \color{blue}{\left(b \cdot \left(y \cdot y4 - y0 \cdot z\right) - y2 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right)} \]

      7. *-commutative 53.3%

         \[\leadsto \left(-k\right) \cdot \left(b \cdot \left(\color{blue}{y4 \cdot y} - y0 \cdot z\right) - y2 \cdot \left(y4 \cdot y1 - y0 \cdot y5\right)\right) \]

      8. *-commutative 53.3%

         \[\leadsto \left(-k\right) \cdot \left(b \cdot \left(y4 \cdot y - y0 \cdot z\right) - y2 \cdot \left(\color{blue}{y1 \cdot y4} - y0 \cdot y5\right)\right) \]

   6. Simplified 53.3%

      \[\leadsto \color{blue}{\left(-k\right) \cdot \left(b \cdot \left(y4 \cdot y - y0 \cdot z\right) - y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if 1.1e171 < y5 < 4.50000000000000023e260

   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 x around inf 58.2%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in x around 0 74.2%

      \[\leadsto \color{blue}{\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

   if 4.50000000000000023e260 < y5

   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 16.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 100.0%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 54.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -4 \cdot 10^{-11}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y5 \leq -1.6 \cdot 10^{-173}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y5 \leq 2.8 \cdot 10^{-75}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - \left(k \cdot y2 + x \cdot \frac{b \cdot j - c \cdot y2}{y5}\right)\right)\right)\\ \mathbf{elif}\;y5 \leq 1.1 \cdot 10^{+171}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + b \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 4.5 \cdot 10^{+260}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 33: 19.7% accurate, 2.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -1.52 \cdot 10^{-58}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{-231}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 4.4 \cdot 10^{-134}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{-102}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 31000000000000:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{+266}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(x \cdot \left(-b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= a -1.52e-58)
   (* (* x y) (* a b))
   (if (<= a 2.2e-231)
     (* y0 (* y2 (* x c)))
     (if (<= a 4.4e-134)
       (* t (* c (- (* y2 y4))))
       (if (<= a 1.5e-102)
         (* x (* y2 (* c y0)))
         (if (<= a 31000000000000.0)
           (* k (* y1 (* y2 y4)))
           (if (<= a 7e+266)
             (* (* j y0) (* x (- b)))
             (* t (* a (* y2 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 (a <= -1.52e-58) {
		tmp = (x * y) * (a * b);
	} else if (a <= 2.2e-231) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= 4.4e-134) {
		tmp = t * (c * -(y2 * y4));
	} else if (a <= 1.5e-102) {
		tmp = x * (y2 * (c * y0));
	} else if (a <= 31000000000000.0) {
		tmp = k * (y1 * (y2 * y4));
	} else if (a <= 7e+266) {
		tmp = (j * y0) * (x * -b);
	} else {
		tmp = t * (a * (y2 * 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 (a <= (-1.52d-58)) then
        tmp = (x * y) * (a * b)
    else if (a <= 2.2d-231) then
        tmp = y0 * (y2 * (x * c))
    else if (a <= 4.4d-134) then
        tmp = t * (c * -(y2 * y4))
    else if (a <= 1.5d-102) then
        tmp = x * (y2 * (c * y0))
    else if (a <= 31000000000000.0d0) then
        tmp = k * (y1 * (y2 * y4))
    else if (a <= 7d+266) then
        tmp = (j * y0) * (x * -b)
    else
        tmp = t * (a * (y2 * 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 (a <= -1.52e-58) {
		tmp = (x * y) * (a * b);
	} else if (a <= 2.2e-231) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= 4.4e-134) {
		tmp = t * (c * -(y2 * y4));
	} else if (a <= 1.5e-102) {
		tmp = x * (y2 * (c * y0));
	} else if (a <= 31000000000000.0) {
		tmp = k * (y1 * (y2 * y4));
	} else if (a <= 7e+266) {
		tmp = (j * y0) * (x * -b);
	} else {
		tmp = t * (a * (y2 * 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 a <= -1.52e-58:
		tmp = (x * y) * (a * b)
	elif a <= 2.2e-231:
		tmp = y0 * (y2 * (x * c))
	elif a <= 4.4e-134:
		tmp = t * (c * -(y2 * y4))
	elif a <= 1.5e-102:
		tmp = x * (y2 * (c * y0))
	elif a <= 31000000000000.0:
		tmp = k * (y1 * (y2 * y4))
	elif a <= 7e+266:
		tmp = (j * y0) * (x * -b)
	else:
		tmp = t * (a * (y2 * 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 (a <= -1.52e-58)
		tmp = Float64(Float64(x * y) * Float64(a * b));
	elseif (a <= 2.2e-231)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	elseif (a <= 4.4e-134)
		tmp = Float64(t * Float64(c * Float64(-Float64(y2 * y4))));
	elseif (a <= 1.5e-102)
		tmp = Float64(x * Float64(y2 * Float64(c * y0)));
	elseif (a <= 31000000000000.0)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (a <= 7e+266)
		tmp = Float64(Float64(j * y0) * Float64(x * Float64(-b)));
	else
		tmp = Float64(t * Float64(a * Float64(y2 * 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 (a <= -1.52e-58)
		tmp = (x * y) * (a * b);
	elseif (a <= 2.2e-231)
		tmp = y0 * (y2 * (x * c));
	elseif (a <= 4.4e-134)
		tmp = t * (c * -(y2 * y4));
	elseif (a <= 1.5e-102)
		tmp = x * (y2 * (c * y0));
	elseif (a <= 31000000000000.0)
		tmp = k * (y1 * (y2 * y4));
	elseif (a <= 7e+266)
		tmp = (j * y0) * (x * -b);
	else
		tmp = t * (a * (y2 * 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[a, -1.52e-58], N[(N[(x * y), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.2e-231], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 4.4e-134], N[(t * N[(c * (-N[(y2 * y4), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.5e-102], N[(x * N[(y2 * N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 31000000000000.0], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 7e+266], N[(N[(j * y0), $MachinePrecision] * N[(x * (-b)), $MachinePrecision]), $MachinePrecision], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if a < -1.51999999999999993e-58

   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 y around inf 40.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 44.0%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 37.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 42.6%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   7. Simplified 42.6%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   if -1.51999999999999993e-58 < a < 2.20000000000000009e-231

   1. Initial program 32.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 51.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 46.2%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 49.2%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 49.2%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 49.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 49.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 49.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 49.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 52.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 52.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 52.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 52.3%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 24.3%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 28.8%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 28.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 28.8%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]

   if 2.20000000000000009e-231 < a < 4.3999999999999999e-134

   1. Initial program 57.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 57.6%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 57.6%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 57.6%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 44.3%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 44.3%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 44.3%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in c around inf 51.3%

      \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   10. Step-by-step derivation

       1. mul-1-neg 51.3%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

       2. distribute-rgt-neg-in 51.3%

          \[\leadsto t \cdot \color{blue}{\left(c \cdot \left(-y2 \cdot y4\right)\right)} \]

       3. distribute-rgt-neg-in 51.3%

          \[\leadsto t \cdot \left(c \cdot \color{blue}{\left(y2 \cdot \left(-y4\right)\right)}\right) \]

   11. Simplified 51.3%

       \[\leadsto t \cdot \color{blue}{\left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)} \]

   if 4.3999999999999999e-134 < a < 1.5e-102

   1. Initial program 11.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 34.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 67.0%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around 0 45.4%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   6. Taylor expanded in c around inf 24.8%

      \[\leadsto x \cdot \color{blue}{\left(c \cdot \left(y0 \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 35.6%

         \[\leadsto x \cdot \color{blue}{\left(\left(c \cdot y0\right) \cdot y2\right)} \]

   8. Simplified 35.6%

      \[\leadsto x \cdot \color{blue}{\left(\left(c \cdot y0\right) \cdot y2\right)} \]

   if 1.5e-102 < a < 3.1e13

   1. Initial program 35.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 43.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 32.2%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   5. Taylor expanded in y1 around inf 36.4%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]

   if 3.1e13 < a < 7.0000000000000005e266

   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 j around inf 44.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 44.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 44.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 44.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 44.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 44.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   6. Taylor expanded in y0 around inf 40.8%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y0 \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 40.8%

         \[\leadsto \color{blue}{-j \cdot \left(y0 \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]

      2. associate-*r* 36.9%

         \[\leadsto -\color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)} \]

      3. +-commutative 36.9%

         \[\leadsto -\left(j \cdot y0\right) \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)} \]

      4. mul-1-neg 36.9%

         \[\leadsto -\left(j \cdot y0\right) \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right) \]

      5. sub-neg 36.9%

         \[\leadsto -\left(j \cdot y0\right) \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)} \]

   8. Simplified 36.9%

      \[\leadsto \color{blue}{-\left(j \cdot y0\right) \cdot \left(b \cdot x - y3 \cdot y5\right)} \]

   9. Taylor expanded in b around inf 33.2%

      \[\leadsto -\left(j \cdot y0\right) \cdot \color{blue}{\left(b \cdot x\right)} \]

   if 7.0000000000000005e266 < a

   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 y4 around inf 33.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 33.3%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 33.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 58.6%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 58.6%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 58.6%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y4 around 0 59.5%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 59.5%

          \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]

   11. Simplified 59.5%

       \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 37.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.52 \cdot 10^{-58}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{-231}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 4.4 \cdot 10^{-134}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{-102}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 31000000000000:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{+266}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(x \cdot \left(-b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 34: 26.3% accurate, 2.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ t_2 := a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{if}\;k \leq -2.7 \cdot 10^{+200}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -1.6 \cdot 10^{-168}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq -2.9 \cdot 10^{-221}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 3.2 \cdot 10^{-62}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq 1.4 \cdot 10^{+102}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 8 \cdot 10^{+201}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y0 (* y5 (- (* k y2)))))
        (t_2 (* a (* y (- (* x b) (* y3 y5))))))
   (if (<= k -2.7e+200)
     t_1
     (if (<= k -1.6e-168)
       t_2
       (if (<= k -2.9e-221)
         (* b (* j (- (* t y4) (* x y0))))
         (if (<= k 3.2e-62)
           t_2
           (if (<= k 1.4e+102)
             (* x (* y2 (* c y0)))
             (if (<= k 8e+201) (* k (* y2 (* y1 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 = y0 * (y5 * -(k * y2));
	double t_2 = a * (y * ((x * b) - (y3 * y5)));
	double tmp;
	if (k <= -2.7e+200) {
		tmp = t_1;
	} else if (k <= -1.6e-168) {
		tmp = t_2;
	} else if (k <= -2.9e-221) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (k <= 3.2e-62) {
		tmp = t_2;
	} else if (k <= 1.4e+102) {
		tmp = x * (y2 * (c * y0));
	} else if (k <= 8e+201) {
		tmp = k * (y2 * (y1 * 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) :: t_2
    real(8) :: tmp
    t_1 = y0 * (y5 * -(k * y2))
    t_2 = a * (y * ((x * b) - (y3 * y5)))
    if (k <= (-2.7d+200)) then
        tmp = t_1
    else if (k <= (-1.6d-168)) then
        tmp = t_2
    else if (k <= (-2.9d-221)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (k <= 3.2d-62) then
        tmp = t_2
    else if (k <= 1.4d+102) then
        tmp = x * (y2 * (c * y0))
    else if (k <= 8d+201) then
        tmp = k * (y2 * (y1 * 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 = y0 * (y5 * -(k * y2));
	double t_2 = a * (y * ((x * b) - (y3 * y5)));
	double tmp;
	if (k <= -2.7e+200) {
		tmp = t_1;
	} else if (k <= -1.6e-168) {
		tmp = t_2;
	} else if (k <= -2.9e-221) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (k <= 3.2e-62) {
		tmp = t_2;
	} else if (k <= 1.4e+102) {
		tmp = x * (y2 * (c * y0));
	} else if (k <= 8e+201) {
		tmp = k * (y2 * (y1 * 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 = y0 * (y5 * -(k * y2))
	t_2 = a * (y * ((x * b) - (y3 * y5)))
	tmp = 0
	if k <= -2.7e+200:
		tmp = t_1
	elif k <= -1.6e-168:
		tmp = t_2
	elif k <= -2.9e-221:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif k <= 3.2e-62:
		tmp = t_2
	elif k <= 1.4e+102:
		tmp = x * (y2 * (c * y0))
	elif k <= 8e+201:
		tmp = k * (y2 * (y1 * 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(y0 * Float64(y5 * Float64(-Float64(k * y2))))
	t_2 = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))))
	tmp = 0.0
	if (k <= -2.7e+200)
		tmp = t_1;
	elseif (k <= -1.6e-168)
		tmp = t_2;
	elseif (k <= -2.9e-221)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (k <= 3.2e-62)
		tmp = t_2;
	elseif (k <= 1.4e+102)
		tmp = Float64(x * Float64(y2 * Float64(c * y0)));
	elseif (k <= 8e+201)
		tmp = Float64(k * Float64(y2 * Float64(y1 * 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 = y0 * (y5 * -(k * y2));
	t_2 = a * (y * ((x * b) - (y3 * y5)));
	tmp = 0.0;
	if (k <= -2.7e+200)
		tmp = t_1;
	elseif (k <= -1.6e-168)
		tmp = t_2;
	elseif (k <= -2.9e-221)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (k <= 3.2e-62)
		tmp = t_2;
	elseif (k <= 1.4e+102)
		tmp = x * (y2 * (c * y0));
	elseif (k <= 8e+201)
		tmp = k * (y2 * (y1 * 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[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -2.7e+200], t$95$1, If[LessEqual[k, -1.6e-168], t$95$2, If[LessEqual[k, -2.9e-221], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 3.2e-62], t$95$2, If[LessEqual[k, 1.4e+102], N[(x * N[(y2 * N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 8e+201], N[(k * N[(y2 * N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]

Derivation

1. Split input into 5 regimes

2. if k < -2.70000000000000016e200 or 8.0000000000000003e201 < k

   1. Initial program 12.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 40.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 47.7%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 51.2%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 51.2%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 51.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 51.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 51.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 51.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 51.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 51.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 51.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 51.2%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 46.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 46.4%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 53.4%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 53.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 53.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 53.4%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if -2.70000000000000016e200 < k < -1.60000000000000003e-168 or -2.89999999999999994e-221 < k < 3.20000000000000021e-62

   1. Initial program 32.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 37.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 35.0%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -1.60000000000000003e-168 < k < -2.89999999999999994e-221

   1. Initial program 38.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 37.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 37.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 37.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 37.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 37.9%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 37.9%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   6. Taylor expanded in b around inf 52.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 3.20000000000000021e-62 < k < 1.40000000000000009e102

   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 x around inf 38.9%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 45.8%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around 0 39.3%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   6. Taylor expanded in c around inf 33.5%

      \[\leadsto x \cdot \color{blue}{\left(c \cdot \left(y0 \cdot y2\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 36.6%

         \[\leadsto x \cdot \color{blue}{\left(\left(c \cdot y0\right) \cdot y2\right)} \]

   8. Simplified 36.6%

      \[\leadsto x \cdot \color{blue}{\left(\left(c \cdot y0\right) \cdot y2\right)} \]

   if 1.40000000000000009e102 < k < 8.0000000000000003e201

   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 x around inf 54.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in k around inf 47.4%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   5. Taylor expanded in y1 around inf 42.6%

      \[\leadsto k \cdot \left(y2 \cdot \color{blue}{\left(y1 \cdot y4\right)}\right) \]
3. Recombined 5 regimes into one program.

4. Final simplification 40.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -2.7 \cdot 10^{+200}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -1.6 \cdot 10^{-168}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -2.9 \cdot 10^{-221}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 3.2 \cdot 10^{-62}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq 1.4 \cdot 10^{+102}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 8 \cdot 10^{+201}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 35: 34.7% accurate, 2.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -4.3 \cdot 10^{+195}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -2.55 \cdot 10^{-17}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 2.5 \cdot 10^{-52}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{+17}:\\ \;\;\;\;x \cdot \left(j \cdot \left(c \cdot \frac{y0 \cdot y2}{j} - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+132}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= a -4.3e+195)
   (* a (* y (- (* x b) (* y3 y5))))
   (if (<= a -2.55e-17)
     (* b (* z (- (* k y0) (* t a))))
     (if (<= a 2.5e-52)
       (* (- (* k y2) (* j y3)) (- (* y1 y4) (* y0 y5)))
       (if (<= a 1.5e+17)
         (* x (* j (- (* c (/ (* y0 y2) j)) (* b y0))))
         (if (<= a 5.4e+132)
           (* i (* y1 (- (* x j) (* z k))))
           (* a (* y1 (- (* z y3) (* x 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 (a <= -4.3e+195) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -2.55e-17) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (a <= 2.5e-52) {
		tmp = ((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5));
	} else if (a <= 1.5e+17) {
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)));
	} else if (a <= 5.4e+132) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = a * (y1 * ((z * y3) - (x * 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 (a <= (-4.3d+195)) then
        tmp = a * (y * ((x * b) - (y3 * y5)))
    else if (a <= (-2.55d-17)) then
        tmp = b * (z * ((k * y0) - (t * a)))
    else if (a <= 2.5d-52) then
        tmp = ((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))
    else if (a <= 1.5d+17) then
        tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)))
    else if (a <= 5.4d+132) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else
        tmp = a * (y1 * ((z * y3) - (x * 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 (a <= -4.3e+195) {
		tmp = a * (y * ((x * b) - (y3 * y5)));
	} else if (a <= -2.55e-17) {
		tmp = b * (z * ((k * y0) - (t * a)));
	} else if (a <= 2.5e-52) {
		tmp = ((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5));
	} else if (a <= 1.5e+17) {
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)));
	} else if (a <= 5.4e+132) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else {
		tmp = a * (y1 * ((z * y3) - (x * 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 a <= -4.3e+195:
		tmp = a * (y * ((x * b) - (y3 * y5)))
	elif a <= -2.55e-17:
		tmp = b * (z * ((k * y0) - (t * a)))
	elif a <= 2.5e-52:
		tmp = ((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5))
	elif a <= 1.5e+17:
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)))
	elif a <= 5.4e+132:
		tmp = i * (y1 * ((x * j) - (z * k)))
	else:
		tmp = a * (y1 * ((z * y3) - (x * 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 (a <= -4.3e+195)
		tmp = Float64(a * Float64(y * Float64(Float64(x * b) - Float64(y3 * y5))));
	elseif (a <= -2.55e-17)
		tmp = Float64(b * Float64(z * Float64(Float64(k * y0) - Float64(t * a))));
	elseif (a <= 2.5e-52)
		tmp = Float64(Float64(Float64(k * y2) - Float64(j * y3)) * Float64(Float64(y1 * y4) - Float64(y0 * y5)));
	elseif (a <= 1.5e+17)
		tmp = Float64(x * Float64(j * Float64(Float64(c * Float64(Float64(y0 * y2) / j)) - Float64(b * y0))));
	elseif (a <= 5.4e+132)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	else
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * 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 (a <= -4.3e+195)
		tmp = a * (y * ((x * b) - (y3 * y5)));
	elseif (a <= -2.55e-17)
		tmp = b * (z * ((k * y0) - (t * a)));
	elseif (a <= 2.5e-52)
		tmp = ((k * y2) - (j * y3)) * ((y1 * y4) - (y0 * y5));
	elseif (a <= 1.5e+17)
		tmp = x * (j * ((c * ((y0 * y2) / j)) - (b * y0)));
	elseif (a <= 5.4e+132)
		tmp = i * (y1 * ((x * j) - (z * k)));
	else
		tmp = a * (y1 * ((z * y3) - (x * 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[a, -4.3e+195], N[(a * N[(y * N[(N[(x * b), $MachinePrecision] - N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.55e-17], N[(b * N[(z * N[(N[(k * y0), $MachinePrecision] - N[(t * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.5e-52], N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.5e+17], N[(x * N[(j * N[(N[(c * N[(N[(y0 * y2), $MachinePrecision] / j), $MachinePrecision]), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.4e+132], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 6 regimes

2. if a < -4.29999999999999981e195

   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 y around inf 34.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 69.6%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   if -4.29999999999999981e195 < a < -2.5500000000000001e-17

   1. Initial program 23.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 40.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in z around -inf 51.8%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 51.8%

         \[\leadsto \color{blue}{\left(-1 \cdot b\right) \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

      2. mul-1-neg 51.8%

         \[\leadsto \color{blue}{\left(-b\right)} \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right) \]

   6. Simplified 51.8%

      \[\leadsto \color{blue}{\left(-b\right) \cdot \left(z \cdot \left(a \cdot t - k \cdot y0\right)\right)} \]

   if -2.5500000000000001e-17 < a < 2.5e-52

   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 x around inf 50.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in x around 0 47.2%

      \[\leadsto \color{blue}{\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} \]

   if 2.5e-52 < a < 1.5e17

   1. Initial program 45.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 36.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around 0 47.0%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   6. Taylor expanded in j around inf 55.8%

      \[\leadsto x \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot y0\right) + \frac{c \cdot \left(y0 \cdot y2\right)}{j}\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 55.8%

         \[\leadsto x \cdot \left(j \cdot \color{blue}{\left(\frac{c \cdot \left(y0 \cdot y2\right)}{j} + -1 \cdot \left(b \cdot y0\right)\right)}\right) \]

      2. mul-1-neg 55.8%

         \[\leadsto x \cdot \left(j \cdot \left(\frac{c \cdot \left(y0 \cdot y2\right)}{j} + \color{blue}{\left(-b \cdot y0\right)}\right)\right) \]

      3. unsub-neg 55.8%

         \[\leadsto x \cdot \left(j \cdot \color{blue}{\left(\frac{c \cdot \left(y0 \cdot y2\right)}{j} - b \cdot y0\right)}\right) \]

      4. associate-/l* 73.6%

         \[\leadsto x \cdot \left(j \cdot \left(\color{blue}{c \cdot \frac{y0 \cdot y2}{j}} - b \cdot y0\right)\right) \]

      5. *-commutative 73.6%

         \[\leadsto x \cdot \left(j \cdot \left(c \cdot \frac{\color{blue}{y2 \cdot y0}}{j} - b \cdot y0\right)\right) \]

   8. Simplified 73.6%

      \[\leadsto x \cdot \color{blue}{\left(j \cdot \left(c \cdot \frac{y2 \cdot y0}{j} - b \cdot y0\right)\right)} \]

   if 1.5e17 < a < 5.3999999999999999e132

   1. Initial program 26.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 47.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 47.5%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 47.5%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 47.5%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 47.5%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in i around -inf 43.7%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 5.3999999999999999e132 < a

   1. Initial program 8.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y1 around -inf 40.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 40.4%

         \[\leadsto \color{blue}{\left(-1 \cdot y1\right) \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      2. neg-mul-1 40.4%

         \[\leadsto \color{blue}{\left(-y1\right)} \cdot \left(\left(-1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. +-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. mul-1-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. unsub-neg 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\color{blue}{\left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      8. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      9. *-commutative 40.4%

         \[\leadsto \left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.4%

      \[\leadsto \color{blue}{\left(-y1\right) \cdot \left(\left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - y4 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in a around inf 60.8%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 60.8%

         \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   8. Simplified 60.8%

      \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 53.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -4.3 \cdot 10^{+195}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b - y3 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -2.55 \cdot 10^{-17}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0 - t \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 2.5 \cdot 10^{-52}:\\ \;\;\;\;\left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ \mathbf{elif}\;a \leq 1.5 \cdot 10^{+17}:\\ \;\;\;\;x \cdot \left(j \cdot \left(c \cdot \frac{y0 \cdot y2}{j} - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+132}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 36: 19.6% accurate, 3.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -2.8 \cdot 10^{-57}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-222}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-94}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{+266}:\\ \;\;\;\;\left(-y0\right) \cdot \left(b \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= a -2.8e-57)
   (* (* x y) (* a b))
   (if (<= a 3.3e-222)
     (* y0 (* y2 (* x c)))
     (if (<= a 6.2e-94)
       (* t (* c (- (* y2 y4))))
       (if (<= a 5.2e+266) (* (- y0) (* b (* x j))) (* t (* a (* y2 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 (a <= -2.8e-57) {
		tmp = (x * y) * (a * b);
	} else if (a <= 3.3e-222) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= 6.2e-94) {
		tmp = t * (c * -(y2 * y4));
	} else if (a <= 5.2e+266) {
		tmp = -y0 * (b * (x * j));
	} else {
		tmp = t * (a * (y2 * 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 (a <= (-2.8d-57)) then
        tmp = (x * y) * (a * b)
    else if (a <= 3.3d-222) then
        tmp = y0 * (y2 * (x * c))
    else if (a <= 6.2d-94) then
        tmp = t * (c * -(y2 * y4))
    else if (a <= 5.2d+266) then
        tmp = -y0 * (b * (x * j))
    else
        tmp = t * (a * (y2 * 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 (a <= -2.8e-57) {
		tmp = (x * y) * (a * b);
	} else if (a <= 3.3e-222) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= 6.2e-94) {
		tmp = t * (c * -(y2 * y4));
	} else if (a <= 5.2e+266) {
		tmp = -y0 * (b * (x * j));
	} else {
		tmp = t * (a * (y2 * 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 a <= -2.8e-57:
		tmp = (x * y) * (a * b)
	elif a <= 3.3e-222:
		tmp = y0 * (y2 * (x * c))
	elif a <= 6.2e-94:
		tmp = t * (c * -(y2 * y4))
	elif a <= 5.2e+266:
		tmp = -y0 * (b * (x * j))
	else:
		tmp = t * (a * (y2 * 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 (a <= -2.8e-57)
		tmp = Float64(Float64(x * y) * Float64(a * b));
	elseif (a <= 3.3e-222)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	elseif (a <= 6.2e-94)
		tmp = Float64(t * Float64(c * Float64(-Float64(y2 * y4))));
	elseif (a <= 5.2e+266)
		tmp = Float64(Float64(-y0) * Float64(b * Float64(x * j)));
	else
		tmp = Float64(t * Float64(a * Float64(y2 * 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 (a <= -2.8e-57)
		tmp = (x * y) * (a * b);
	elseif (a <= 3.3e-222)
		tmp = y0 * (y2 * (x * c));
	elseif (a <= 6.2e-94)
		tmp = t * (c * -(y2 * y4));
	elseif (a <= 5.2e+266)
		tmp = -y0 * (b * (x * j));
	else
		tmp = t * (a * (y2 * 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[a, -2.8e-57], N[(N[(x * y), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.3e-222], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.2e-94], N[(t * N[(c * (-N[(y2 * y4), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.2e+266], N[((-y0) * N[(b * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if a < -2.7999999999999999e-57

   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 y around inf 40.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 44.0%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 37.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 42.6%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   7. Simplified 42.6%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   if -2.7999999999999999e-57 < a < 3.30000000000000002e-222

   1. Initial program 32.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 51.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 46.2%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 49.2%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 49.2%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 49.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 49.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 49.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 49.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 52.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 52.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 52.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 52.3%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 24.3%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 28.8%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 28.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 28.8%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]

   if 3.30000000000000002e-222 < a < 6.1999999999999996e-94

   1. Initial program 42.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 50.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 50.8%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 50.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 40.0%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 36.3%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 36.3%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in c around inf 43.7%

      \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   10. Step-by-step derivation

       1. mul-1-neg 43.7%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

       2. distribute-rgt-neg-in 43.7%

          \[\leadsto t \cdot \color{blue}{\left(c \cdot \left(-y2 \cdot y4\right)\right)} \]

       3. distribute-rgt-neg-in 43.7%

          \[\leadsto t \cdot \left(c \cdot \color{blue}{\left(y2 \cdot \left(-y4\right)\right)}\right) \]

   11. Simplified 43.7%

       \[\leadsto t \cdot \color{blue}{\left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)} \]

   if 6.1999999999999996e-94 < a < 5.20000000000000027e266

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 34.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 40.7%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 43.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.6%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 43.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 43.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 43.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 43.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 45.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 45.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 45.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 45.1%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in b around inf 29.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(j \cdot x\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 29.9%

         \[\leadsto y0 \cdot \color{blue}{\left(-b \cdot \left(j \cdot x\right)\right)} \]

      2. *-commutative 29.9%

         \[\leadsto y0 \cdot \left(-b \cdot \color{blue}{\left(x \cdot j\right)}\right) \]

   10. Simplified 29.9%

       \[\leadsto y0 \cdot \color{blue}{\left(-b \cdot \left(x \cdot j\right)\right)} \]

   if 5.20000000000000027e266 < a

   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 y4 around inf 33.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 33.3%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 33.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 58.6%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 58.6%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 58.6%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y4 around 0 59.5%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 59.5%

          \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]

   11. Simplified 59.5%

       \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 36.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.8 \cdot 10^{-57}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-222}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-94}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{+266}:\\ \;\;\;\;\left(-y0\right) \cdot \left(b \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 37: 19.3% accurate, 3.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ t_2 := \left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{if}\;k \leq -1.85 \cdot 10^{+197}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;k \leq -7.6 \cdot 10^{-129}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;k \leq -5 \cdot 10^{-224}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;k \leq 9 \cdot 10^{+21}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y0 (* (* y2 y5) (- k)))) (t_2 (* (* x y) (* a b))))
   (if (<= k -1.85e+197)
     t_1
     (if (<= k -7.6e-129)
       t_2
       (if (<= k -5e-224) (* y0 (* y2 (* x c))) (if (<= k 9e+21) 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 = y0 * ((y2 * y5) * -k);
	double t_2 = (x * y) * (a * b);
	double tmp;
	if (k <= -1.85e+197) {
		tmp = t_1;
	} else if (k <= -7.6e-129) {
		tmp = t_2;
	} else if (k <= -5e-224) {
		tmp = y0 * (y2 * (x * c));
	} else if (k <= 9e+21) {
		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 = y0 * ((y2 * y5) * -k)
    t_2 = (x * y) * (a * b)
    if (k <= (-1.85d+197)) then
        tmp = t_1
    else if (k <= (-7.6d-129)) then
        tmp = t_2
    else if (k <= (-5d-224)) then
        tmp = y0 * (y2 * (x * c))
    else if (k <= 9d+21) 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 = y0 * ((y2 * y5) * -k);
	double t_2 = (x * y) * (a * b);
	double tmp;
	if (k <= -1.85e+197) {
		tmp = t_1;
	} else if (k <= -7.6e-129) {
		tmp = t_2;
	} else if (k <= -5e-224) {
		tmp = y0 * (y2 * (x * c));
	} else if (k <= 9e+21) {
		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 = y0 * ((y2 * y5) * -k)
	t_2 = (x * y) * (a * b)
	tmp = 0
	if k <= -1.85e+197:
		tmp = t_1
	elif k <= -7.6e-129:
		tmp = t_2
	elif k <= -5e-224:
		tmp = y0 * (y2 * (x * c))
	elif k <= 9e+21:
		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(y0 * Float64(Float64(y2 * y5) * Float64(-k)))
	t_2 = Float64(Float64(x * y) * Float64(a * b))
	tmp = 0.0
	if (k <= -1.85e+197)
		tmp = t_1;
	elseif (k <= -7.6e-129)
		tmp = t_2;
	elseif (k <= -5e-224)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	elseif (k <= 9e+21)
		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 = y0 * ((y2 * y5) * -k);
	t_2 = (x * y) * (a * b);
	tmp = 0.0;
	if (k <= -1.85e+197)
		tmp = t_1;
	elseif (k <= -7.6e-129)
		tmp = t_2;
	elseif (k <= -5e-224)
		tmp = y0 * (y2 * (x * c));
	elseif (k <= 9e+21)
		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[(y0 * N[(N[(y2 * y5), $MachinePrecision] * (-k)), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -1.85e+197], t$95$1, If[LessEqual[k, -7.6e-129], t$95$2, If[LessEqual[k, -5e-224], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 9e+21], t$95$2, t$95$1]]]]]]

Derivation

1. Split input into 3 regimes

2. if k < -1.8500000000000002e197 or 9e21 < k

   1. Initial program 18.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 45.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 46.3%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in k around inf 38.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 38.4%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

   7. Simplified 38.4%

      \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

   if -1.8500000000000002e197 < k < -7.59999999999999969e-129 or -4.9999999999999999e-224 < k < 9e21

   1. Initial program 31.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 34.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 33.1%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 26.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 30.0%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   7. Simplified 30.0%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   if -7.59999999999999969e-129 < k < -4.9999999999999999e-224

   1. Initial program 38.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 29.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 57.6%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 57.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 57.6%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 57.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 57.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 57.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 57.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 57.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 57.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 57.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 57.7%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 48.7%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 44.2%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 44.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 44.2%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 34.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -1.85 \cdot 10^{+197}:\\ \;\;\;\;y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \mathbf{elif}\;k \leq -7.6 \cdot 10^{-129}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;k \leq -5 \cdot 10^{-224}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;k \leq 9 \cdot 10^{+21}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(y2 \cdot y5\right) \cdot \left(-k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 38: 18.4% accurate, 3.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -4.5 \cdot 10^{-153}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq 1.32 \cdot 10^{-191}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{-94}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{+266}:\\ \;\;\;\;\left(-y0\right) \cdot \left(b \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= a -4.5e-153)
   (* (* x y) (* a b))
   (if (<= a 1.32e-191)
     (* y0 (* y5 (- (* k y2))))
     (if (<= a 2.9e-94)
       (* t (* c (- (* y2 y4))))
       (if (<= a 5.2e+266) (* (- y0) (* b (* x j))) (* t (* a (* y2 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 (a <= -4.5e-153) {
		tmp = (x * y) * (a * b);
	} else if (a <= 1.32e-191) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (a <= 2.9e-94) {
		tmp = t * (c * -(y2 * y4));
	} else if (a <= 5.2e+266) {
		tmp = -y0 * (b * (x * j));
	} else {
		tmp = t * (a * (y2 * 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 (a <= (-4.5d-153)) then
        tmp = (x * y) * (a * b)
    else if (a <= 1.32d-191) then
        tmp = y0 * (y5 * -(k * y2))
    else if (a <= 2.9d-94) then
        tmp = t * (c * -(y2 * y4))
    else if (a <= 5.2d+266) then
        tmp = -y0 * (b * (x * j))
    else
        tmp = t * (a * (y2 * 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 (a <= -4.5e-153) {
		tmp = (x * y) * (a * b);
	} else if (a <= 1.32e-191) {
		tmp = y0 * (y5 * -(k * y2));
	} else if (a <= 2.9e-94) {
		tmp = t * (c * -(y2 * y4));
	} else if (a <= 5.2e+266) {
		tmp = -y0 * (b * (x * j));
	} else {
		tmp = t * (a * (y2 * 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 a <= -4.5e-153:
		tmp = (x * y) * (a * b)
	elif a <= 1.32e-191:
		tmp = y0 * (y5 * -(k * y2))
	elif a <= 2.9e-94:
		tmp = t * (c * -(y2 * y4))
	elif a <= 5.2e+266:
		tmp = -y0 * (b * (x * j))
	else:
		tmp = t * (a * (y2 * 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 (a <= -4.5e-153)
		tmp = Float64(Float64(x * y) * Float64(a * b));
	elseif (a <= 1.32e-191)
		tmp = Float64(y0 * Float64(y5 * Float64(-Float64(k * y2))));
	elseif (a <= 2.9e-94)
		tmp = Float64(t * Float64(c * Float64(-Float64(y2 * y4))));
	elseif (a <= 5.2e+266)
		tmp = Float64(Float64(-y0) * Float64(b * Float64(x * j)));
	else
		tmp = Float64(t * Float64(a * Float64(y2 * 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 (a <= -4.5e-153)
		tmp = (x * y) * (a * b);
	elseif (a <= 1.32e-191)
		tmp = y0 * (y5 * -(k * y2));
	elseif (a <= 2.9e-94)
		tmp = t * (c * -(y2 * y4));
	elseif (a <= 5.2e+266)
		tmp = -y0 * (b * (x * j));
	else
		tmp = t * (a * (y2 * 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[a, -4.5e-153], N[(N[(x * y), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.32e-191], N[(y0 * N[(y5 * (-N[(k * y2), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.9e-94], N[(t * N[(c * (-N[(y2 * y4), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.2e+266], N[((-y0) * N[(b * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 5 regimes

2. if a < -4.5e-153

   1. Initial program 24.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 38.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 42.5%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 35.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 39.2%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   7. Simplified 39.2%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   if -4.5e-153 < a < 1.31999999999999996e-191

   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 x around inf 49.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 46.7%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 48.2%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 48.2%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 48.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 48.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 48.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 48.2%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 51.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 51.4%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in k around inf 33.8%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 33.8%

         \[\leadsto y0 \cdot \color{blue}{\left(-k \cdot \left(y2 \cdot y5\right)\right)} \]

      2. associate-*r* 35.4%

         \[\leadsto y0 \cdot \left(-\color{blue}{\left(k \cdot y2\right) \cdot y5}\right) \]

      3. distribute-rgt-neg-in 35.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(k \cdot y2\right) \cdot \left(-y5\right)\right)} \]

      4. *-commutative 35.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(y2 \cdot k\right)} \cdot \left(-y5\right)\right) \]

   10. Simplified 35.4%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(y2 \cdot k\right) \cdot \left(-y5\right)\right)} \]

   if 1.31999999999999996e-191 < a < 2.89999999999999995e-94

   1. Initial program 47.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 48.7%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 48.7%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 48.7%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 39.9%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 35.3%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 35.3%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in c around inf 44.5%

      \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   10. Step-by-step derivation

       1. mul-1-neg 44.5%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

       2. distribute-rgt-neg-in 44.5%

          \[\leadsto t \cdot \color{blue}{\left(c \cdot \left(-y2 \cdot y4\right)\right)} \]

       3. distribute-rgt-neg-in 44.5%

          \[\leadsto t \cdot \left(c \cdot \color{blue}{\left(y2 \cdot \left(-y4\right)\right)}\right) \]

   11. Simplified 44.5%

       \[\leadsto t \cdot \color{blue}{\left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)} \]

   if 2.89999999999999995e-94 < a < 5.20000000000000027e266

   1. Initial program 23.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 34.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 40.7%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 43.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.6%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 43.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 43.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 43.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 43.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 45.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 45.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 45.1%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 45.1%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in b around inf 29.9%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(b \cdot \left(j \cdot x\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 29.9%

         \[\leadsto y0 \cdot \color{blue}{\left(-b \cdot \left(j \cdot x\right)\right)} \]

      2. *-commutative 29.9%

         \[\leadsto y0 \cdot \left(-b \cdot \color{blue}{\left(x \cdot j\right)}\right) \]

   10. Simplified 29.9%

       \[\leadsto y0 \cdot \color{blue}{\left(-b \cdot \left(x \cdot j\right)\right)} \]

   if 5.20000000000000027e266 < a

   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 y4 around inf 33.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 33.3%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 33.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 58.6%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 58.6%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 58.6%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y4 around 0 59.5%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 59.5%

          \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]

   11. Simplified 59.5%

       \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 37.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -4.5 \cdot 10^{-153}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq 1.32 \cdot 10^{-191}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(-k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{-94}:\\ \;\;\;\;t \cdot \left(c \cdot \left(-y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 5.2 \cdot 10^{+266}:\\ \;\;\;\;\left(-y0\right) \cdot \left(b \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 39: 19.4% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -2.1 \cdot 10^{-57}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq 0.0003:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{+266}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(x \cdot \left(-b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= a -2.1e-57)
   (* (* x y) (* a b))
   (if (<= a 0.0003)
     (* y0 (* y2 (* x c)))
     (if (<= a 7e+266) (* (* j y0) (* x (- b))) (* t (* a (* y2 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 (a <= -2.1e-57) {
		tmp = (x * y) * (a * b);
	} else if (a <= 0.0003) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= 7e+266) {
		tmp = (j * y0) * (x * -b);
	} else {
		tmp = t * (a * (y2 * 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 (a <= (-2.1d-57)) then
        tmp = (x * y) * (a * b)
    else if (a <= 0.0003d0) then
        tmp = y0 * (y2 * (x * c))
    else if (a <= 7d+266) then
        tmp = (j * y0) * (x * -b)
    else
        tmp = t * (a * (y2 * 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 (a <= -2.1e-57) {
		tmp = (x * y) * (a * b);
	} else if (a <= 0.0003) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= 7e+266) {
		tmp = (j * y0) * (x * -b);
	} else {
		tmp = t * (a * (y2 * 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 a <= -2.1e-57:
		tmp = (x * y) * (a * b)
	elif a <= 0.0003:
		tmp = y0 * (y2 * (x * c))
	elif a <= 7e+266:
		tmp = (j * y0) * (x * -b)
	else:
		tmp = t * (a * (y2 * 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 (a <= -2.1e-57)
		tmp = Float64(Float64(x * y) * Float64(a * b));
	elseif (a <= 0.0003)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	elseif (a <= 7e+266)
		tmp = Float64(Float64(j * y0) * Float64(x * Float64(-b)));
	else
		tmp = Float64(t * Float64(a * Float64(y2 * 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 (a <= -2.1e-57)
		tmp = (x * y) * (a * b);
	elseif (a <= 0.0003)
		tmp = y0 * (y2 * (x * c));
	elseif (a <= 7e+266)
		tmp = (j * y0) * (x * -b);
	else
		tmp = t * (a * (y2 * 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[a, -2.1e-57], N[(N[(x * y), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 0.0003], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 7e+266], N[(N[(j * y0), $MachinePrecision] * N[(x * (-b)), $MachinePrecision]), $MachinePrecision], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if a < -2.0999999999999999e-57

   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 y around inf 40.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 44.0%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 37.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 42.6%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   7. Simplified 42.6%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   if -2.0999999999999999e-57 < a < 2.99999999999999974e-4

   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 x around inf 48.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 49.0%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 50.7%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.7%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 50.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 50.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 50.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 50.7%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 53.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 53.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 53.5%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 53.5%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 23.4%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 26.1%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 26.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 26.1%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]

   if 2.99999999999999974e-4 < a < 7.0000000000000005e266

   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 j around inf 43.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 43.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 43.1%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 43.1%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 43.1%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   6. Taylor expanded in y0 around inf 39.3%

      \[\leadsto \color{blue}{-1 \cdot \left(j \cdot \left(y0 \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 39.3%

         \[\leadsto \color{blue}{-j \cdot \left(y0 \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)\right)} \]

      2. associate-*r* 35.6%

         \[\leadsto -\color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(y3 \cdot y5\right) + b \cdot x\right)} \]

      3. +-commutative 35.6%

         \[\leadsto -\left(j \cdot y0\right) \cdot \color{blue}{\left(b \cdot x + -1 \cdot \left(y3 \cdot y5\right)\right)} \]

      4. mul-1-neg 35.6%

         \[\leadsto -\left(j \cdot y0\right) \cdot \left(b \cdot x + \color{blue}{\left(-y3 \cdot y5\right)}\right) \]

      5. sub-neg 35.6%

         \[\leadsto -\left(j \cdot y0\right) \cdot \color{blue}{\left(b \cdot x - y3 \cdot y5\right)} \]

   8. Simplified 35.6%

      \[\leadsto \color{blue}{-\left(j \cdot y0\right) \cdot \left(b \cdot x - y3 \cdot y5\right)} \]

   9. Taylor expanded in b around inf 32.1%

      \[\leadsto -\left(j \cdot y0\right) \cdot \color{blue}{\left(b \cdot x\right)} \]

   if 7.0000000000000005e266 < a

   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 y4 around inf 33.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 33.3%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 33.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 58.6%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 58.6%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 58.6%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y4 around 0 59.5%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 59.5%

          \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]

   11. Simplified 59.5%

       \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 34.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.1 \cdot 10^{-57}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq 0.0003:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{+266}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(x \cdot \left(-b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 40: 20.5% accurate, 4.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{if}\;a \leq -9.5 \cdot 10^{-58}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{+123}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 4.4 \cdot 10^{+265}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* x y) (* a b))))
   (if (<= a -9.5e-58)
     t_1
     (if (<= a 1.25e+123)
       (* y0 (* y2 (* x c)))
       (if (<= a 4.4e+265) t_1 (* t (* a (* y2 y5))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) * (a * b);
	double tmp;
	if (a <= -9.5e-58) {
		tmp = t_1;
	} else if (a <= 1.25e+123) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= 4.4e+265) {
		tmp = t_1;
	} else {
		tmp = t * (a * (y2 * 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 = (x * y) * (a * b)
    if (a <= (-9.5d-58)) then
        tmp = t_1
    else if (a <= 1.25d+123) then
        tmp = y0 * (y2 * (x * c))
    else if (a <= 4.4d+265) then
        tmp = t_1
    else
        tmp = t * (a * (y2 * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (x * y) * (a * b);
	double tmp;
	if (a <= -9.5e-58) {
		tmp = t_1;
	} else if (a <= 1.25e+123) {
		tmp = y0 * (y2 * (x * c));
	} else if (a <= 4.4e+265) {
		tmp = t_1;
	} else {
		tmp = t * (a * (y2 * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (x * y) * (a * b)
	tmp = 0
	if a <= -9.5e-58:
		tmp = t_1
	elif a <= 1.25e+123:
		tmp = y0 * (y2 * (x * c))
	elif a <= 4.4e+265:
		tmp = t_1
	else:
		tmp = t * (a * (y2 * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(x * y) * Float64(a * b))
	tmp = 0.0
	if (a <= -9.5e-58)
		tmp = t_1;
	elseif (a <= 1.25e+123)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	elseif (a <= 4.4e+265)
		tmp = t_1;
	else
		tmp = Float64(t * Float64(a * Float64(y2 * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (x * y) * (a * b);
	tmp = 0.0;
	if (a <= -9.5e-58)
		tmp = t_1;
	elseif (a <= 1.25e+123)
		tmp = y0 * (y2 * (x * c));
	elseif (a <= 4.4e+265)
		tmp = t_1;
	else
		tmp = t * (a * (y2 * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(x * y), $MachinePrecision] * N[(a * b), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -9.5e-58], t$95$1, If[LessEqual[a, 1.25e+123], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 4.4e+265], t$95$1, N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]

Derivation

1. Split input into 3 regimes

2. if a < -9.4999999999999994e-58 or 1.24999999999999994e123 < a < 4.3999999999999998e265

   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 y around inf 37.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 42.1%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 37.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 42.0%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   7. Simplified 42.0%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y\right)} \]

   if -9.4999999999999994e-58 < a < 1.24999999999999994e123

   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 x around inf 45.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 44.4%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 46.6%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.6%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 46.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 46.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 46.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 46.6%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 48.8%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 48.8%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 48.8%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 48.8%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 22.2%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 24.4%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 24.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 24.4%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]

   if 4.3999999999999998e265 < a

   1. Initial program 7.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 30.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 30.8%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 30.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 61.8%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 61.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 61.8%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y4 around 0 55.0%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 55.0%

          \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]

   11. Simplified 55.0%

       \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 33.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -9.5 \cdot 10^{-58}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{+123}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{elif}\;a \leq 4.4 \cdot 10^{+265}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 41: 21.4% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;b \leq -1 \cdot 10^{-22}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;b \leq 7.4 \cdot 10^{-6}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= b -1e-22)
   (* a (* (* x y) b))
   (if (<= b 7.4e-6) (* c (* x (* y0 y2))) (* a (* y (* x 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 (b <= -1e-22) {
		tmp = a * ((x * y) * b);
	} else if (b <= 7.4e-6) {
		tmp = c * (x * (y0 * y2));
	} else {
		tmp = a * (y * (x * 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 (b <= (-1d-22)) then
        tmp = a * ((x * y) * b)
    else if (b <= 7.4d-6) then
        tmp = c * (x * (y0 * y2))
    else
        tmp = a * (y * (x * 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 (b <= -1e-22) {
		tmp = a * ((x * y) * b);
	} else if (b <= 7.4e-6) {
		tmp = c * (x * (y0 * y2));
	} else {
		tmp = a * (y * (x * 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 b <= -1e-22:
		tmp = a * ((x * y) * b)
	elif b <= 7.4e-6:
		tmp = c * (x * (y0 * y2))
	else:
		tmp = a * (y * (x * 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 (b <= -1e-22)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (b <= 7.4e-6)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	else
		tmp = Float64(a * Float64(y * Float64(x * 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 (b <= -1e-22)
		tmp = a * ((x * y) * b);
	elseif (b <= 7.4e-6)
		tmp = c * (x * (y0 * y2));
	else
		tmp = a * (y * (x * 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[LessEqual[b, -1e-22], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 7.4e-6], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if b < -1e-22

   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 y around inf 41.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 42.9%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 36.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if -1e-22 < b < 7.4000000000000003e-6

   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 x around inf 46.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 39.9%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in c around inf 21.3%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]

   if 7.4000000000000003e-6 < b

   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 y around inf 31.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 41.4%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 36.2%

      \[\leadsto a \cdot \left(y \cdot \color{blue}{\left(b \cdot x\right)}\right) \]
3. Recombined 3 regimes into one program.

4. Final simplification 29.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1 \cdot 10^{-22}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;b \leq 7.4 \cdot 10^{-6}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 42: 19.9% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -1.5 \cdot 10^{-57}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;a \leq 8.8 \cdot 10^{+27}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= a -1.5e-57)
   (* a (* (* x y) b))
   (if (<= a 8.8e+27) (* y0 (* y2 (* x c))) (* t (* a (* y2 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 (a <= -1.5e-57) {
		tmp = a * ((x * y) * b);
	} else if (a <= 8.8e+27) {
		tmp = y0 * (y2 * (x * c));
	} else {
		tmp = t * (a * (y2 * 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 (a <= (-1.5d-57)) then
        tmp = a * ((x * y) * b)
    else if (a <= 8.8d+27) then
        tmp = y0 * (y2 * (x * c))
    else
        tmp = t * (a * (y2 * 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 (a <= -1.5e-57) {
		tmp = a * ((x * y) * b);
	} else if (a <= 8.8e+27) {
		tmp = y0 * (y2 * (x * c));
	} else {
		tmp = t * (a * (y2 * 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 a <= -1.5e-57:
		tmp = a * ((x * y) * b)
	elif a <= 8.8e+27:
		tmp = y0 * (y2 * (x * c))
	else:
		tmp = t * (a * (y2 * 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 (a <= -1.5e-57)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (a <= 8.8e+27)
		tmp = Float64(y0 * Float64(y2 * Float64(x * c)));
	else
		tmp = Float64(t * Float64(a * Float64(y2 * 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 (a <= -1.5e-57)
		tmp = a * ((x * y) * b);
	elseif (a <= 8.8e+27)
		tmp = y0 * (y2 * (x * c));
	else
		tmp = t * (a * (y2 * 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[a, -1.5e-57], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 8.8e+27], N[(y0 * N[(y2 * N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t * N[(a * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if a < -1.5e-57

   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 y around inf 40.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 44.0%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 37.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if -1.5e-57 < a < 8.7999999999999995e27

   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 x around inf 49.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in y0 around inf 48.6%

      \[\leadsto \color{blue}{y0 \cdot \left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + x \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   5. Taylor expanded in y5 around -inf 50.3%

      \[\leadsto y0 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.3%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-1 \cdot y5\right) \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right)} \]

      2. neg-mul-1 50.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(-y5\right)} \cdot \left(\left(-1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5} + k \cdot y2\right) - j \cdot y3\right)\right) \]

      3. +-commutative 50.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 + -1 \cdot \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      4. mul-1-neg 50.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 + \color{blue}{\left(-\frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)}\right) - j \cdot y3\right)\right) \]

      5. unsub-neg 50.3%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\color{blue}{\left(k \cdot y2 - \frac{x \cdot \left(c \cdot y2 - b \cdot j\right)}{y5}\right)} - j \cdot y3\right)\right) \]

      6. associate-/l* 52.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - \color{blue}{x \cdot \frac{c \cdot y2 - b \cdot j}{y5}}\right) - j \cdot y3\right)\right) \]

      7. *-commutative 52.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{\color{blue}{y2 \cdot c} - b \cdot j}{y5}\right) - j \cdot y3\right)\right) \]

      8. *-commutative 52.9%

         \[\leadsto y0 \cdot \left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - \color{blue}{j \cdot b}}{y5}\right) - j \cdot y3\right)\right) \]

   7. Simplified 52.9%

      \[\leadsto y0 \cdot \color{blue}{\left(\left(-y5\right) \cdot \left(\left(k \cdot y2 - x \cdot \frac{y2 \cdot c - j \cdot b}{y5}\right) - j \cdot y3\right)\right)} \]

   8. Taylor expanded in c around inf 24.2%

      \[\leadsto y0 \cdot \color{blue}{\left(c \cdot \left(x \cdot y2\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 26.7%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(c \cdot x\right) \cdot y2\right)} \]

      2. *-commutative 26.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(x \cdot c\right)} \cdot y2\right) \]

   10. Simplified 26.7%

       \[\leadsto y0 \cdot \color{blue}{\left(\left(x \cdot c\right) \cdot y2\right)} \]

   if 8.7999999999999995e27 < a

   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 y4 around inf 32.4%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 32.4%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 32.4%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 28.2%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 28.2%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 28.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y4 around 0 25.4%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 25.4%

          \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]

   11. Simplified 25.4%

       \[\leadsto t \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot a\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 30.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.5 \cdot 10^{-57}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;a \leq 8.8 \cdot 10^{+27}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(a \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 43: 16.9% accurate, 7.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;c \leq 4.2 \cdot 10^{+110}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= c 4.2e+110) (* a (* (* x y) b)) (* a (* t (* y2 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 (c <= 4.2e+110) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = a * (t * (y2 * 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 (c <= 4.2d+110) then
        tmp = a * ((x * y) * b)
    else
        tmp = a * (t * (y2 * 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 (c <= 4.2e+110) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = a * (t * (y2 * 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 c <= 4.2e+110:
		tmp = a * ((x * y) * b)
	else:
		tmp = a * (t * (y2 * 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 (c <= 4.2e+110)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = Float64(a * Float64(t * Float64(y2 * 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 (c <= 4.2e+110)
		tmp = a * ((x * y) * b);
	else
		tmp = a * (t * (y2 * 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[c, 4.2e+110], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if c < 4.2000000000000003e110

   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 y around inf 38.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 33.0%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 25.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if 4.2000000000000003e110 < c

   1. Initial program 26.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 29.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 29.3%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 29.3%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 37.4%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 39.9%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 39.9%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in y4 around 0 22.3%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 22.3%

          \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   11. Simplified 22.3%

       \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 24.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq 4.2 \cdot 10^{+110}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 44: 18.3% accurate, 7.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;t \leq 1.25 \cdot 10^{+189}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= t 1.25e+189) (* a (* y (* x b))) (* b (* j (* t y4)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (t <= 1.25e+189) {
		tmp = a * (y * (x * b));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (t <= 1.25d+189) then
        tmp = a * (y * (x * b))
    else
        tmp = b * (j * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (t <= 1.25e+189) {
		tmp = a * (y * (x * b));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if t <= 1.25e+189:
		tmp = a * (y * (x * b))
	else:
		tmp = b * (j * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (t <= 1.25e+189)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	else
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (t <= 1.25e+189)
		tmp = a * (y * (x * b));
	else
		tmp = b * (j * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[t, 1.25e+189], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if t < 1.2500000000000001e189

   1. Initial program 29.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 37.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Taylor expanded in a around inf 30.9%

      \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

   5. Taylor expanded in b around inf 23.8%

      \[\leadsto a \cdot \left(y \cdot \color{blue}{\left(b \cdot x\right)}\right) \]

   if 1.2500000000000001e189 < t

   1. Initial program 5.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y4 around inf 10.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   4. Step-by-step derivation

      1. *-commutative 10.8%

         \[\leadsto \left(b \cdot \left(y4 \cdot \left(\color{blue}{t \cdot j} - k \cdot y\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Simplified 10.8%

      \[\leadsto \left(\color{blue}{b \cdot \left(y4 \cdot \left(t \cdot j - k \cdot y\right)\right)} - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   6. Taylor expanded in t around inf 37.4%

      \[\leadsto \color{blue}{t \cdot \left(b \cdot \left(j \cdot y4\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 37.4%

         \[\leadsto t \cdot \left(\color{blue}{\left(b \cdot j\right) \cdot y4} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   8. Simplified 37.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(b \cdot j\right) \cdot y4 - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   9. Taylor expanded in b around inf 58.0%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
   10. Step-by-step derivation

       1. *-commutative 58.0%

          \[\leadsto b \cdot \left(j \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   11. Simplified 58.0%

       \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(y4 \cdot t\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 26.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq 1.25 \cdot 10^{+189}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 45: 16.5% 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 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 y around inf 37.1%

   \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

4. Taylor expanded in a around inf 30.7%

   \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

5. Taylor expanded in b around inf 22.9%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

6. Final simplification 22.9%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]
7. Add Preprocessing

Alternative 46: 16.5% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(y \cdot \left(x \cdot b\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* y (* x 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 * (y * (x * 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 * (y * (x * 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 * (y * (x * b));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * (y * (x * b))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(y * Float64(x * b)))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * (y * (x * b));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

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 y around inf 37.1%

   \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

4. Taylor expanded in a around inf 30.7%

   \[\leadsto \color{blue}{a \cdot \left(y \cdot \left(b \cdot x - y3 \cdot y5\right)\right)} \]

5. Taylor expanded in b around inf 22.9%

   \[\leadsto a \cdot \left(y \cdot \color{blue}{\left(b \cdot x\right)}\right) \]

6. Final simplification 22.9%

   \[\leadsto a \cdot \left(y \cdot \left(x \cdot b\right)\right) \]
7. Add Preprocessing

Developer target: 27.2% 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 2024055 
(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

  :alt
  (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)))))