Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.4% → 36.8%

Time: 1.6min

Alternatives: 56

Speedup: 1.4×

• 88.8% of points produce a very large (infinite) output. You may want to add a precondition.

Specification

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Initial Program: 30.4% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 36.8% accurate, 0.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ t_2 := c \cdot y0 - a \cdot y1\\ t_3 := t \cdot j - y \cdot k\\ t_4 := a \cdot y5 - c \cdot y4\\ t_5 := z \cdot k - x \cdot j\\ t_6 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t\_3\right) + y0 \cdot t\_5\right)\\ t_7 := b \cdot y4 - i \cdot y5\\ t_8 := y1 \cdot y4 - y0 \cdot y5\\ t_9 := y2 \cdot \left(\left(k \cdot t\_8 + x \cdot t\_2\right) + t \cdot t\_4\right)\\ t_10 := i \cdot y1 - b \cdot y0\\ t_11 := j \cdot \left(\left(t \cdot t\_7 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot t\_10\right)\\ \mathbf{if}\;y3 \leq -6.6 \cdot 10^{+140}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.6 \cdot 10^{+70}:\\ \;\;\;\;t \cdot \left(\left(j \cdot t\_7 + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot t\_4\right)\\ \mathbf{elif}\;y3 \leq -1.8 \cdot 10^{+23}:\\ \;\;\;\;k \cdot \left(y2 \cdot t\_8\right)\\ \mathbf{elif}\;y3 \leq -3.5 \cdot 10^{-35}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -1.1 \cdot 10^{-62}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot t\_2\right) + j \cdot t\_10\right)\\ \mathbf{elif}\;y3 \leq -9.5 \cdot 10^{-79}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -5.8 \cdot 10^{-189}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y3 \leq -8.2 \cdot 10^{-232}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;y3 \leq 4 \cdot 10^{-245}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y3 \leq 2.15 \cdot 10^{-203}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;y3 \leq 1.1 \cdot 10^{-155}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 2.1 \cdot 10^{-132}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq 3 \cdot 10^{-80}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;y3 \leq 2.75 \cdot 10^{-45}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 2.65 \cdot 10^{+196}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;y3 \leq 2.3 \cdot 10^{+209}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t\_3 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 4.5 \cdot 10^{+233}:\\ \;\;\;\;t\_11\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot 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 (* i (+ (* c (- (* z t) (* x y))) (* y1 (- (* x j) (* z k))))))
        (t_2 (- (* c y0) (* a y1)))
        (t_3 (- (* t j) (* y k)))
        (t_4 (- (* a y5) (* c y4)))
        (t_5 (- (* z k) (* x j)))
        (t_6 (* b (+ (+ (* a (- (* x y) (* z t))) (* y4 t_3)) (* y0 t_5))))
        (t_7 (- (* b y4) (* i y5)))
        (t_8 (- (* y1 y4) (* y0 y5)))
        (t_9 (* y2 (+ (+ (* k t_8) (* x t_2)) (* t t_4))))
        (t_10 (- (* i y1) (* b y0)))
        (t_11
         (* j (+ (+ (* t t_7) (* y3 (- (* y0 y5) (* y1 y4)))) (* x t_10)))))
   (if (<= y3 -6.6e+140)
     (* y (* y3 (- (* c y4) (* a y5))))
     (if (<= y3 -2.6e+70)
       (* t (+ (+ (* j t_7) (* z (- (* c i) (* a b)))) (* y2 t_4)))
       (if (<= y3 -1.8e+23)
         (* k (* y2 t_8))
         (if (<= y3 -3.5e-35)
           t_1
           (if (<= y3 -1.1e-62)
             (* x (+ (+ (* y (- (* a b) (* c i))) (* y2 t_2)) (* j t_10)))
             (if (<= y3 -9.5e-79)
               (* k (* y1 (* y4 (- y2 (/ (* z i) y4)))))
               (if (<= y3 -5.8e-189)
                 t_6
                 (if (<= y3 -8.2e-232)
                   t_11
                   (if (<= y3 4e-245)
                     t_6
                     (if (<= y3 2.15e-203)
                       t_9
                       (if (<= y3 1.1e-155)
                         (* b (* x (- (* y a) (* j y0))))
                         (if (<= y3 2.1e-132)
                           (* k (* z (- (* b y0) (* i y1))))
                           (if (<= y3 3e-80)
                             t_9
                             (if (<= y3 2.75e-45)
                               t_1
                               (if (<= y3 2.65e+196)
                                 t_9
                                 (if (<= y3 2.3e+209)
                                   (*
                                    y4
                                    (+
                                     (+ (* b t_3) (* y1 (- (* k y2) (* j y3))))
                                     (* c (- (* y y3) (* t y2)))))
                                   (if (<= y3 4.5e+233)
                                     t_11
                                     (*
                                      y0
                                      (+
                                       (+
                                        (* c (- (* x y2) (* z y3)))
                                        (* y5 (- (* j y3) (* k y2))))
                                       (* b 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 = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	double t_2 = (c * y0) - (a * y1);
	double t_3 = (t * j) - (y * k);
	double t_4 = (a * y5) - (c * y4);
	double t_5 = (z * k) - (x * j);
	double t_6 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * t_5));
	double t_7 = (b * y4) - (i * y5);
	double t_8 = (y1 * y4) - (y0 * y5);
	double t_9 = y2 * (((k * t_8) + (x * t_2)) + (t * t_4));
	double t_10 = (i * y1) - (b * y0);
	double t_11 = j * (((t * t_7) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_10));
	double tmp;
	if (y3 <= -6.6e+140) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y3 <= -2.6e+70) {
		tmp = t * (((j * t_7) + (z * ((c * i) - (a * b)))) + (y2 * t_4));
	} else if (y3 <= -1.8e+23) {
		tmp = k * (y2 * t_8);
	} else if (y3 <= -3.5e-35) {
		tmp = t_1;
	} else if (y3 <= -1.1e-62) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * t_10));
	} else if (y3 <= -9.5e-79) {
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	} else if (y3 <= -5.8e-189) {
		tmp = t_6;
	} else if (y3 <= -8.2e-232) {
		tmp = t_11;
	} else if (y3 <= 4e-245) {
		tmp = t_6;
	} else if (y3 <= 2.15e-203) {
		tmp = t_9;
	} else if (y3 <= 1.1e-155) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y3 <= 2.1e-132) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y3 <= 3e-80) {
		tmp = t_9;
	} else if (y3 <= 2.75e-45) {
		tmp = t_1;
	} else if (y3 <= 2.65e+196) {
		tmp = t_9;
	} else if (y3 <= 2.3e+209) {
		tmp = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (y3 <= 4.5e+233) {
		tmp = t_11;
	} else {
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * 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_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 = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))))
    t_2 = (c * y0) - (a * y1)
    t_3 = (t * j) - (y * k)
    t_4 = (a * y5) - (c * y4)
    t_5 = (z * k) - (x * j)
    t_6 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * t_5))
    t_7 = (b * y4) - (i * y5)
    t_8 = (y1 * y4) - (y0 * y5)
    t_9 = y2 * (((k * t_8) + (x * t_2)) + (t * t_4))
    t_10 = (i * y1) - (b * y0)
    t_11 = j * (((t * t_7) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_10))
    if (y3 <= (-6.6d+140)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (y3 <= (-2.6d+70)) then
        tmp = t * (((j * t_7) + (z * ((c * i) - (a * b)))) + (y2 * t_4))
    else if (y3 <= (-1.8d+23)) then
        tmp = k * (y2 * t_8)
    else if (y3 <= (-3.5d-35)) then
        tmp = t_1
    else if (y3 <= (-1.1d-62)) then
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * t_10))
    else if (y3 <= (-9.5d-79)) then
        tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))))
    else if (y3 <= (-5.8d-189)) then
        tmp = t_6
    else if (y3 <= (-8.2d-232)) then
        tmp = t_11
    else if (y3 <= 4d-245) then
        tmp = t_6
    else if (y3 <= 2.15d-203) then
        tmp = t_9
    else if (y3 <= 1.1d-155) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y3 <= 2.1d-132) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y3 <= 3d-80) then
        tmp = t_9
    else if (y3 <= 2.75d-45) then
        tmp = t_1
    else if (y3 <= 2.65d+196) then
        tmp = t_9
    else if (y3 <= 2.3d+209) then
        tmp = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (y3 <= 4.5d+233) then
        tmp = t_11
    else
        tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * 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 = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	double t_2 = (c * y0) - (a * y1);
	double t_3 = (t * j) - (y * k);
	double t_4 = (a * y5) - (c * y4);
	double t_5 = (z * k) - (x * j);
	double t_6 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * t_5));
	double t_7 = (b * y4) - (i * y5);
	double t_8 = (y1 * y4) - (y0 * y5);
	double t_9 = y2 * (((k * t_8) + (x * t_2)) + (t * t_4));
	double t_10 = (i * y1) - (b * y0);
	double t_11 = j * (((t * t_7) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_10));
	double tmp;
	if (y3 <= -6.6e+140) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y3 <= -2.6e+70) {
		tmp = t * (((j * t_7) + (z * ((c * i) - (a * b)))) + (y2 * t_4));
	} else if (y3 <= -1.8e+23) {
		tmp = k * (y2 * t_8);
	} else if (y3 <= -3.5e-35) {
		tmp = t_1;
	} else if (y3 <= -1.1e-62) {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * t_10));
	} else if (y3 <= -9.5e-79) {
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	} else if (y3 <= -5.8e-189) {
		tmp = t_6;
	} else if (y3 <= -8.2e-232) {
		tmp = t_11;
	} else if (y3 <= 4e-245) {
		tmp = t_6;
	} else if (y3 <= 2.15e-203) {
		tmp = t_9;
	} else if (y3 <= 1.1e-155) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y3 <= 2.1e-132) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y3 <= 3e-80) {
		tmp = t_9;
	} else if (y3 <= 2.75e-45) {
		tmp = t_1;
	} else if (y3 <= 2.65e+196) {
		tmp = t_9;
	} else if (y3 <= 2.3e+209) {
		tmp = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (y3 <= 4.5e+233) {
		tmp = t_11;
	} else {
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * 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 = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))))
	t_2 = (c * y0) - (a * y1)
	t_3 = (t * j) - (y * k)
	t_4 = (a * y5) - (c * y4)
	t_5 = (z * k) - (x * j)
	t_6 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * t_5))
	t_7 = (b * y4) - (i * y5)
	t_8 = (y1 * y4) - (y0 * y5)
	t_9 = y2 * (((k * t_8) + (x * t_2)) + (t * t_4))
	t_10 = (i * y1) - (b * y0)
	t_11 = j * (((t * t_7) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_10))
	tmp = 0
	if y3 <= -6.6e+140:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif y3 <= -2.6e+70:
		tmp = t * (((j * t_7) + (z * ((c * i) - (a * b)))) + (y2 * t_4))
	elif y3 <= -1.8e+23:
		tmp = k * (y2 * t_8)
	elif y3 <= -3.5e-35:
		tmp = t_1
	elif y3 <= -1.1e-62:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * t_10))
	elif y3 <= -9.5e-79:
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))))
	elif y3 <= -5.8e-189:
		tmp = t_6
	elif y3 <= -8.2e-232:
		tmp = t_11
	elif y3 <= 4e-245:
		tmp = t_6
	elif y3 <= 2.15e-203:
		tmp = t_9
	elif y3 <= 1.1e-155:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y3 <= 2.1e-132:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y3 <= 3e-80:
		tmp = t_9
	elif y3 <= 2.75e-45:
		tmp = t_1
	elif y3 <= 2.65e+196:
		tmp = t_9
	elif y3 <= 2.3e+209:
		tmp = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif y3 <= 4.5e+233:
		tmp = t_11
	else:
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * 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(i * Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))))
	t_2 = Float64(Float64(c * y0) - Float64(a * y1))
	t_3 = Float64(Float64(t * j) - Float64(y * k))
	t_4 = Float64(Float64(a * y5) - Float64(c * y4))
	t_5 = Float64(Float64(z * k) - Float64(x * j))
	t_6 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_3)) + Float64(y0 * t_5)))
	t_7 = Float64(Float64(b * y4) - Float64(i * y5))
	t_8 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_9 = Float64(y2 * Float64(Float64(Float64(k * t_8) + Float64(x * t_2)) + Float64(t * t_4)))
	t_10 = Float64(Float64(i * y1) - Float64(b * y0))
	t_11 = Float64(j * Float64(Float64(Float64(t * t_7) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * t_10)))
	tmp = 0.0
	if (y3 <= -6.6e+140)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y3 <= -2.6e+70)
		tmp = Float64(t * Float64(Float64(Float64(j * t_7) + Float64(z * Float64(Float64(c * i) - Float64(a * b)))) + Float64(y2 * t_4)));
	elseif (y3 <= -1.8e+23)
		tmp = Float64(k * Float64(y2 * t_8));
	elseif (y3 <= -3.5e-35)
		tmp = t_1;
	elseif (y3 <= -1.1e-62)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * t_2)) + Float64(j * t_10)));
	elseif (y3 <= -9.5e-79)
		tmp = Float64(k * Float64(y1 * Float64(y4 * Float64(y2 - Float64(Float64(z * i) / y4)))));
	elseif (y3 <= -5.8e-189)
		tmp = t_6;
	elseif (y3 <= -8.2e-232)
		tmp = t_11;
	elseif (y3 <= 4e-245)
		tmp = t_6;
	elseif (y3 <= 2.15e-203)
		tmp = t_9;
	elseif (y3 <= 1.1e-155)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y3 <= 2.1e-132)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y3 <= 3e-80)
		tmp = t_9;
	elseif (y3 <= 2.75e-45)
		tmp = t_1;
	elseif (y3 <= 2.65e+196)
		tmp = t_9;
	elseif (y3 <= 2.3e+209)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_3) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y3 <= 4.5e+233)
		tmp = t_11;
	else
		tmp = Float64(y0 * Float64(Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * t_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 = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	t_2 = (c * y0) - (a * y1);
	t_3 = (t * j) - (y * k);
	t_4 = (a * y5) - (c * y4);
	t_5 = (z * k) - (x * j);
	t_6 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * t_5));
	t_7 = (b * y4) - (i * y5);
	t_8 = (y1 * y4) - (y0 * y5);
	t_9 = y2 * (((k * t_8) + (x * t_2)) + (t * t_4));
	t_10 = (i * y1) - (b * y0);
	t_11 = j * (((t * t_7) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_10));
	tmp = 0.0;
	if (y3 <= -6.6e+140)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (y3 <= -2.6e+70)
		tmp = t * (((j * t_7) + (z * ((c * i) - (a * b)))) + (y2 * t_4));
	elseif (y3 <= -1.8e+23)
		tmp = k * (y2 * t_8);
	elseif (y3 <= -3.5e-35)
		tmp = t_1;
	elseif (y3 <= -1.1e-62)
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * t_2)) + (j * t_10));
	elseif (y3 <= -9.5e-79)
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	elseif (y3 <= -5.8e-189)
		tmp = t_6;
	elseif (y3 <= -8.2e-232)
		tmp = t_11;
	elseif (y3 <= 4e-245)
		tmp = t_6;
	elseif (y3 <= 2.15e-203)
		tmp = t_9;
	elseif (y3 <= 1.1e-155)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y3 <= 2.1e-132)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y3 <= 3e-80)
		tmp = t_9;
	elseif (y3 <= 2.75e-45)
		tmp = t_1;
	elseif (y3 <= 2.65e+196)
		tmp = t_9;
	elseif (y3 <= 2.3e+209)
		tmp = y4 * (((b * t_3) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (y3 <= 4.5e+233)
		tmp = t_11;
	else
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * 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[(i * N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(y2 * N[(N[(N[(k * t$95$8), $MachinePrecision] + N[(x * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(j * N[(N[(N[(t * t$95$7), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -6.6e+140], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.6e+70], N[(t * N[(N[(N[(j * t$95$7), $MachinePrecision] + N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.8e+23], N[(k * N[(y2 * t$95$8), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.5e-35], t$95$1, If[LessEqual[y3, -1.1e-62], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -9.5e-79], N[(k * N[(y1 * N[(y4 * N[(y2 - N[(N[(z * i), $MachinePrecision] / y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -5.8e-189], t$95$6, If[LessEqual[y3, -8.2e-232], t$95$11, If[LessEqual[y3, 4e-245], t$95$6, If[LessEqual[y3, 2.15e-203], t$95$9, If[LessEqual[y3, 1.1e-155], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.1e-132], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3e-80], t$95$9, If[LessEqual[y3, 2.75e-45], t$95$1, If[LessEqual[y3, 2.65e+196], t$95$9, If[LessEqual[y3, 2.3e+209], N[(y4 * N[(N[(N[(b * t$95$3), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.5e+233], t$95$11, N[(y0 * N[(N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if y3 < -6.6000000000000003e140

   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 y around inf 53.0%

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

      1. +-commutative 53.0%

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

      2. mul-1-neg 53.0%

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

      3. unsub-neg 53.0%

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

      4. *-commutative 53.0%

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

      5. *-commutative 53.0%

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

      6. mul-1-neg 53.0%

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

   5. Simplified 53.0%

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

   6. Taylor expanded in y3 around inf 56.1%

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

   if -6.6000000000000003e140 < y3 < -2.6e70

   1. Initial program 33.1%

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

   3. Taylor expanded in t around inf 80.2%

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

      1. +-commutative 80.2%

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

      2. mul-1-neg 80.2%

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

      3. unsub-neg 80.2%

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

      4. *-commutative 80.2%

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

   5. Simplified 80.2%

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

   if -2.6e70 < y3 < -1.7999999999999999e23

   1. Initial program 25.7%

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

   3. Taylor expanded in y2 around inf 50.7%

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

   4. Taylor expanded in k around inf 75.3%

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

   if -1.7999999999999999e23 < y3 < -3.49999999999999996e-35 or 3.00000000000000007e-80 < y3 < 2.75000000000000015e-45

   1. Initial program 29.1%

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

   3. Taylor expanded in i around -inf 58.5%

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

   4. Taylor expanded in y5 around 0 54.6%

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

   if -3.49999999999999996e-35 < y3 < -1.10000000000000009e-62

   1. Initial program 56.9%

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

   3. Taylor expanded in x around inf 73.0%

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

   if -1.10000000000000009e-62 < y3 < -9.4999999999999997e-79

   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 k around inf 52.1%

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

      1. +-commutative 52.1%

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

      2. mul-1-neg 52.1%

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

      3. unsub-neg 52.1%

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

      4. *-commutative 52.1%

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

      5. associate-*r* 52.1%

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

      6. neg-mul-1 52.1%

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

   5. Simplified 52.1%

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

   6. Taylor expanded in y1 around inf 67.5%

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

   7. Taylor expanded in y4 around inf 83.7%

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

      1. mul-1-neg 83.7%

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

      2. unsub-neg 83.7%

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

      3. *-commutative 83.7%

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

   9. Simplified 83.7%

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

   if -9.4999999999999997e-79 < y3 < -5.8e-189 or -8.19999999999999945e-232 < y3 < 3.9999999999999997e-245

   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 b around inf 60.6%

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

   if -5.8e-189 < y3 < -8.19999999999999945e-232 or 2.3000000000000001e209 < y3 < 4.49999999999999999e233

   1. Initial program 22.6%

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

   3. Taylor expanded in j around inf 78.1%

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

      1. +-commutative 78.1%

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

      2. mul-1-neg 78.1%

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

      3. unsub-neg 78.1%

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

      4. *-commutative 78.1%

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

   5. Simplified 78.1%

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

   if 3.9999999999999997e-245 < y3 < 2.15000000000000014e-203 or 2.1000000000000001e-132 < y3 < 3.00000000000000007e-80 or 2.75000000000000015e-45 < y3 < 2.65000000000000004e196

   1. Initial program 23.2%

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

   3. Taylor expanded in y2 around inf 66.0%

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

   if 2.15000000000000014e-203 < y3 < 1.1e-155

   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 b around inf 25.9%

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

   4. Taylor expanded in x around inf 87.6%

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

   if 1.1e-155 < y3 < 2.1000000000000001e-132

   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 k around inf 48.7%

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

      1. +-commutative 48.7%

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

      2. mul-1-neg 48.7%

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

      3. unsub-neg 48.7%

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

      4. *-commutative 48.7%

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

      5. associate-*r* 48.7%

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

      6. neg-mul-1 48.7%

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

   5. Simplified 48.7%

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

   6. Taylor expanded in z around inf 48.8%

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

   if 2.65000000000000004e196 < y3 < 2.3000000000000001e209

   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 y4 around inf 100.0%

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

   if 4.49999999999999999e233 < y3

   1. Initial program 30.8%

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

   3. Taylor expanded in y0 around inf 77.0%

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

      1. +-commutative 77.0%

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

      2. mul-1-neg 77.0%

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

      3. unsub-neg 77.0%

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

      4. *-commutative 77.0%

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

      5. *-commutative 77.0%

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

      6. *-commutative 77.0%

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

      7. *-commutative 77.0%

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

   5. Simplified 77.0%

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

4. Final simplification 66.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -6.6 \cdot 10^{+140}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.6 \cdot 10^{+70}:\\ \;\;\;\;t \cdot \left(\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -1.8 \cdot 10^{+23}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -3.5 \cdot 10^{-35}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq -1.1 \cdot 10^{-62}:\\ \;\;\;\;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 -9.5 \cdot 10^{-79}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -5.8 \cdot 10^{-189}:\\ \;\;\;\;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}\;y3 \leq -8.2 \cdot 10^{-232}:\\ \;\;\;\;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}\;y3 \leq 4 \cdot 10^{-245}:\\ \;\;\;\;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}\;y3 \leq 2.15 \cdot 10^{-203}:\\ \;\;\;\;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}\;y3 \leq 1.1 \cdot 10^{-155}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 2.1 \cdot 10^{-132}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq 3 \cdot 10^{-80}:\\ \;\;\;\;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}\;y3 \leq 2.75 \cdot 10^{-45}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y3 \leq 2.65 \cdot 10^{+196}:\\ \;\;\;\;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}\;y3 \leq 2.3 \cdot 10^{+209}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 4.5 \cdot 10^{+233}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 2: 53.0% accurate, 0.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y5 - c \cdot y4\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ t_3 := c \cdot y0 - a \cdot y1\\ t_4 := \left(\left(\left(\left(\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y - z \cdot t\right) + \left(b \cdot y0 - i \cdot y1\right) \cdot \left(z \cdot k - x \cdot j\right)\right) + t\_3 \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + \left(b \cdot y4 - i \cdot y5\right) \cdot \left(t \cdot j - y \cdot k\right)\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot t\_1\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot t\_2\\ \mathbf{if}\;t\_4 \leq \infty:\\ \;\;\;\;t\_4\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_2 + x \cdot t\_3\right) + t \cdot t\_1\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y5) (* c y4)))
        (t_2 (- (* y1 y4) (* y0 y5)))
        (t_3 (- (* c y0) (* a y1)))
        (t_4
         (+
          (+
           (+
            (+
             (+
              (* (- (* a b) (* c i)) (- (* x y) (* z t)))
              (* (- (* b y0) (* i y1)) (- (* z k) (* x j))))
             (* t_3 (- (* x y2) (* z y3))))
            (* (- (* b y4) (* i y5)) (- (* t j) (* y k))))
           (* (- (* t y2) (* y y3)) t_1))
          (* (- (* k y2) (* j y3)) t_2))))
   (if (<= t_4 INFINITY) t_4 (* y2 (+ (+ (* k t_2) (* x t_3)) (* t 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 * y5) - (c * y4);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (t_3 * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * t_1)) + (((k * y2) - (j * y3)) * t_2);
	double tmp;
	if (t_4 <= ((double) INFINITY)) {
		tmp = t_4;
	} else {
		tmp = y2 * (((k * t_2) + (x * t_3)) + (t * t_1));
	}
	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 * y5) - (c * y4);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (t_3 * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * t_1)) + (((k * y2) - (j * y3)) * t_2);
	double tmp;
	if (t_4 <= Double.POSITIVE_INFINITY) {
		tmp = t_4;
	} else {
		tmp = y2 * (((k * t_2) + (x * t_3)) + (t * 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 * y5) - (c * y4)
	t_2 = (y1 * y4) - (y0 * y5)
	t_3 = (c * y0) - (a * y1)
	t_4 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (t_3 * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * t_1)) + (((k * y2) - (j * y3)) * t_2)
	tmp = 0
	if t_4 <= math.inf:
		tmp = t_4
	else:
		tmp = y2 * (((k * t_2) + (x * t_3)) + (t * 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(a * y5) - Float64(c * y4))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_3 = Float64(Float64(c * y0) - Float64(a * y1))
	t_4 = 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(t_3 * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(Float64(Float64(b * y4) - Float64(i * y5)) * Float64(Float64(t * j) - Float64(y * k)))) + Float64(Float64(Float64(t * y2) - Float64(y * y3)) * t_1)) + Float64(Float64(Float64(k * y2) - Float64(j * y3)) * t_2))
	tmp = 0.0
	if (t_4 <= Inf)
		tmp = t_4;
	else
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_2) + Float64(x * t_3)) + Float64(t * 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 * y5) - (c * y4);
	t_2 = (y1 * y4) - (y0 * y5);
	t_3 = (c * y0) - (a * y1);
	t_4 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * ((z * k) - (x * j)))) + (t_3 * ((x * y2) - (z * y3)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * t_1)) + (((k * y2) - (j * y3)) * t_2);
	tmp = 0.0;
	if (t_4 <= Inf)
		tmp = t_4;
	else
		tmp = y2 * (((k * t_2) + (x * t_3)) + (t * 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[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = 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[(t$95$3 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $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] * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$4, Infinity], t$95$4, N[(y2 * N[(N[(N[(k * t$95$2), $MachinePrecision] + N[(x * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$1), $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 90.5%

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

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

   1. Initial program 0.0%

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

   3. Taylor expanded in y2 around inf 43.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 57.9%

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

Alternative 3: 34.4% accurate, 0.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(i \cdot y1 - b \cdot y0\right)\\ t_2 := y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\\ t_3 := b \cdot y4 - i \cdot y5\\ t_4 := t \cdot \left(\left(j \cdot t\_3 + z \cdot \left(c \cdot i - a \cdot b\right)\right) + t\_2\right)\\ t_5 := z \cdot k - x \cdot j\\ t_6 := y0 \cdot t\_5\\ t_7 := 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) + t\_6\right)\\ \mathbf{if}\;y3 \leq -6.5 \cdot 10^{+174}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.6 \cdot 10^{+70}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y3 \leq -1.7 \cdot 10^{-5}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -3.3 \cdot 10^{-61}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y3 \leq -1.35 \cdot 10^{-94}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -5.6 \cdot 10^{-189}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;y3 \leq -7.5 \cdot 10^{-233}:\\ \;\;\;\;j \cdot \left(\left(t \cdot t\_3 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + t\_1\right)\\ \mathbf{elif}\;y3 \leq 4.6 \cdot 10^{-240}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;y3 \leq 3.1 \cdot 10^{-204}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq 4.5 \cdot 10^{-180}:\\ \;\;\;\;j \cdot t\_1\\ \mathbf{elif}\;y3 \leq 1.75 \cdot 10^{-140}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y3 \leq 1.3 \cdot 10^{-132}:\\ \;\;\;\;b \cdot t\_6\\ \mathbf{elif}\;y3 \leq 3.2 \cdot 10^{-88}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 3 \cdot 10^{-71}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y3 \leq 3.7 \cdot 10^{-19}:\\ \;\;\;\;t \cdot t\_2\\ \mathbf{elif}\;y3 \leq 1.55 \cdot 10^{+137}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 1.7 \cdot 10^{+209}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(y3 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 8.5 \cdot 10^{+238}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot 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 (* x (- (* i y1) (* b y0))))
        (t_2 (* y2 (- (* a y5) (* c y4))))
        (t_3 (- (* b y4) (* i y5)))
        (t_4 (* t (+ (+ (* j t_3) (* z (- (* c i) (* a b)))) t_2)))
        (t_5 (- (* z k) (* x j)))
        (t_6 (* y0 t_5))
        (t_7
         (*
          b
          (+ (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k)))) t_6))))
   (if (<= y3 -6.5e+174)
     (* y (* y3 (- (* c y4) (* a y5))))
     (if (<= y3 -2.6e+70)
       t_4
       (if (<= y3 -1.7e-5)
         (* k (* y2 (- (* y1 y4) (* y0 y5))))
         (if (<= y3 -3.3e-61)
           (*
            (+
             (- (* y3 y4) (* a (* y3 (/ y5 c))))
             (- (* i (* k (/ y5 c))) (* x i)))
            (* y c))
           (if (<= y3 -1.35e-94)
             (* k (* y1 (* y4 (- y2 (/ (* z i) y4)))))
             (if (<= y3 -5.6e-189)
               t_7
               (if (<= y3 -7.5e-233)
                 (* j (+ (+ (* t t_3) (* y3 (- (* y0 y5) (* y1 y4)))) t_1))
                 (if (<= y3 4.6e-240)
                   t_7
                   (if (<= y3 3.1e-204)
                     (* y2 (* a (- (* t y5) (* x y1))))
                     (if (<= y3 4.5e-180)
                       (* j t_1)
                       (if (<= y3 1.75e-140)
                         t_4
                         (if (<= y3 1.3e-132)
                           (* b t_6)
                           (if (<= y3 3.2e-88)
                             (* y0 (* y2 (- (* x c) (* k y5))))
                             (if (<= y3 3e-71)
                               (* y1 (* y2 (- (* k y4) (* x a))))
                               (if (<= y3 3.7e-19)
                                 (* t t_2)
                                 (if (<= y3 1.55e+137)
                                   (* y2 (* c (- (* x y0) (* t y4))))
                                   (if (<= y3 1.7e+209)
                                     (* j (* y1 (* y3 (- y4))))
                                     (if (<= y3 8.5e+238)
                                       (* (* j y0) (- (* y3 y5) (* x b)))
                                       (*
                                        y0
                                        (+
                                         (+
                                          (* c (- (* x y2) (* z y3)))
                                          (* y5 (- (* j y3) (* k y2))))
                                         (* b t_5)))))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * ((i * y1) - (b * y0));
	double t_2 = y2 * ((a * y5) - (c * y4));
	double t_3 = (b * y4) - (i * y5);
	double t_4 = t * (((j * t_3) + (z * ((c * i) - (a * b)))) + t_2);
	double t_5 = (z * k) - (x * j);
	double t_6 = y0 * t_5;
	double t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + t_6);
	double tmp;
	if (y3 <= -6.5e+174) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y3 <= -2.6e+70) {
		tmp = t_4;
	} else if (y3 <= -1.7e-5) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y3 <= -3.3e-61) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (y3 <= -1.35e-94) {
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	} else if (y3 <= -5.6e-189) {
		tmp = t_7;
	} else if (y3 <= -7.5e-233) {
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_1);
	} else if (y3 <= 4.6e-240) {
		tmp = t_7;
	} else if (y3 <= 3.1e-204) {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	} else if (y3 <= 4.5e-180) {
		tmp = j * t_1;
	} else if (y3 <= 1.75e-140) {
		tmp = t_4;
	} else if (y3 <= 1.3e-132) {
		tmp = b * t_6;
	} else if (y3 <= 3.2e-88) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y3 <= 3e-71) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y3 <= 3.7e-19) {
		tmp = t * t_2;
	} else if (y3 <= 1.55e+137) {
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	} else if (y3 <= 1.7e+209) {
		tmp = j * (y1 * (y3 * -y4));
	} else if (y3 <= 8.5e+238) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else {
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * t_5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: tmp
    t_1 = x * ((i * y1) - (b * y0))
    t_2 = y2 * ((a * y5) - (c * y4))
    t_3 = (b * y4) - (i * y5)
    t_4 = t * (((j * t_3) + (z * ((c * i) - (a * b)))) + t_2)
    t_5 = (z * k) - (x * j)
    t_6 = y0 * t_5
    t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + t_6)
    if (y3 <= (-6.5d+174)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (y3 <= (-2.6d+70)) then
        tmp = t_4
    else if (y3 <= (-1.7d-5)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y3 <= (-3.3d-61)) then
        tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
    else if (y3 <= (-1.35d-94)) then
        tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))))
    else if (y3 <= (-5.6d-189)) then
        tmp = t_7
    else if (y3 <= (-7.5d-233)) then
        tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_1)
    else if (y3 <= 4.6d-240) then
        tmp = t_7
    else if (y3 <= 3.1d-204) then
        tmp = y2 * (a * ((t * y5) - (x * y1)))
    else if (y3 <= 4.5d-180) then
        tmp = j * t_1
    else if (y3 <= 1.75d-140) then
        tmp = t_4
    else if (y3 <= 1.3d-132) then
        tmp = b * t_6
    else if (y3 <= 3.2d-88) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y3 <= 3d-71) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y3 <= 3.7d-19) then
        tmp = t * t_2
    else if (y3 <= 1.55d+137) then
        tmp = y2 * (c * ((x * y0) - (t * y4)))
    else if (y3 <= 1.7d+209) then
        tmp = j * (y1 * (y3 * -y4))
    else if (y3 <= 8.5d+238) then
        tmp = (j * y0) * ((y3 * y5) - (x * b))
    else
        tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * t_5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * ((i * y1) - (b * y0));
	double t_2 = y2 * ((a * y5) - (c * y4));
	double t_3 = (b * y4) - (i * y5);
	double t_4 = t * (((j * t_3) + (z * ((c * i) - (a * b)))) + t_2);
	double t_5 = (z * k) - (x * j);
	double t_6 = y0 * t_5;
	double t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + t_6);
	double tmp;
	if (y3 <= -6.5e+174) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y3 <= -2.6e+70) {
		tmp = t_4;
	} else if (y3 <= -1.7e-5) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y3 <= -3.3e-61) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (y3 <= -1.35e-94) {
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	} else if (y3 <= -5.6e-189) {
		tmp = t_7;
	} else if (y3 <= -7.5e-233) {
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_1);
	} else if (y3 <= 4.6e-240) {
		tmp = t_7;
	} else if (y3 <= 3.1e-204) {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	} else if (y3 <= 4.5e-180) {
		tmp = j * t_1;
	} else if (y3 <= 1.75e-140) {
		tmp = t_4;
	} else if (y3 <= 1.3e-132) {
		tmp = b * t_6;
	} else if (y3 <= 3.2e-88) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y3 <= 3e-71) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y3 <= 3.7e-19) {
		tmp = t * t_2;
	} else if (y3 <= 1.55e+137) {
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	} else if (y3 <= 1.7e+209) {
		tmp = j * (y1 * (y3 * -y4));
	} else if (y3 <= 8.5e+238) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else {
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * t_5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * ((i * y1) - (b * y0))
	t_2 = y2 * ((a * y5) - (c * y4))
	t_3 = (b * y4) - (i * y5)
	t_4 = t * (((j * t_3) + (z * ((c * i) - (a * b)))) + t_2)
	t_5 = (z * k) - (x * j)
	t_6 = y0 * t_5
	t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + t_6)
	tmp = 0
	if y3 <= -6.5e+174:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif y3 <= -2.6e+70:
		tmp = t_4
	elif y3 <= -1.7e-5:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y3 <= -3.3e-61:
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
	elif y3 <= -1.35e-94:
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))))
	elif y3 <= -5.6e-189:
		tmp = t_7
	elif y3 <= -7.5e-233:
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_1)
	elif y3 <= 4.6e-240:
		tmp = t_7
	elif y3 <= 3.1e-204:
		tmp = y2 * (a * ((t * y5) - (x * y1)))
	elif y3 <= 4.5e-180:
		tmp = j * t_1
	elif y3 <= 1.75e-140:
		tmp = t_4
	elif y3 <= 1.3e-132:
		tmp = b * t_6
	elif y3 <= 3.2e-88:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y3 <= 3e-71:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y3 <= 3.7e-19:
		tmp = t * t_2
	elif y3 <= 1.55e+137:
		tmp = y2 * (c * ((x * y0) - (t * y4)))
	elif y3 <= 1.7e+209:
		tmp = j * (y1 * (y3 * -y4))
	elif y3 <= 8.5e+238:
		tmp = (j * y0) * ((y3 * y5) - (x * b))
	else:
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * t_5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))
	t_2 = Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))
	t_3 = Float64(Float64(b * y4) - Float64(i * y5))
	t_4 = Float64(t * Float64(Float64(Float64(j * t_3) + Float64(z * Float64(Float64(c * i) - Float64(a * b)))) + t_2))
	t_5 = Float64(Float64(z * k) - Float64(x * j))
	t_6 = Float64(y0 * t_5)
	t_7 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + t_6))
	tmp = 0.0
	if (y3 <= -6.5e+174)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y3 <= -2.6e+70)
		tmp = t_4;
	elseif (y3 <= -1.7e-5)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y3 <= -3.3e-61)
		tmp = Float64(Float64(Float64(Float64(y3 * y4) - Float64(a * Float64(y3 * Float64(y5 / c)))) + Float64(Float64(i * Float64(k * Float64(y5 / c))) - Float64(x * i))) * Float64(y * c));
	elseif (y3 <= -1.35e-94)
		tmp = Float64(k * Float64(y1 * Float64(y4 * Float64(y2 - Float64(Float64(z * i) / y4)))));
	elseif (y3 <= -5.6e-189)
		tmp = t_7;
	elseif (y3 <= -7.5e-233)
		tmp = Float64(j * Float64(Float64(Float64(t * t_3) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + t_1));
	elseif (y3 <= 4.6e-240)
		tmp = t_7;
	elseif (y3 <= 3.1e-204)
		tmp = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))));
	elseif (y3 <= 4.5e-180)
		tmp = Float64(j * t_1);
	elseif (y3 <= 1.75e-140)
		tmp = t_4;
	elseif (y3 <= 1.3e-132)
		tmp = Float64(b * t_6);
	elseif (y3 <= 3.2e-88)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y3 <= 3e-71)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y3 <= 3.7e-19)
		tmp = Float64(t * t_2);
	elseif (y3 <= 1.55e+137)
		tmp = Float64(y2 * Float64(c * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (y3 <= 1.7e+209)
		tmp = Float64(j * Float64(y1 * Float64(y3 * Float64(-y4))));
	elseif (y3 <= 8.5e+238)
		tmp = Float64(Float64(j * y0) * Float64(Float64(y3 * y5) - Float64(x * b)));
	else
		tmp = Float64(y0 * Float64(Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * t_5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * ((i * y1) - (b * y0));
	t_2 = y2 * ((a * y5) - (c * y4));
	t_3 = (b * y4) - (i * y5);
	t_4 = t * (((j * t_3) + (z * ((c * i) - (a * b)))) + t_2);
	t_5 = (z * k) - (x * j);
	t_6 = y0 * t_5;
	t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + t_6);
	tmp = 0.0;
	if (y3 <= -6.5e+174)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (y3 <= -2.6e+70)
		tmp = t_4;
	elseif (y3 <= -1.7e-5)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y3 <= -3.3e-61)
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	elseif (y3 <= -1.35e-94)
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	elseif (y3 <= -5.6e-189)
		tmp = t_7;
	elseif (y3 <= -7.5e-233)
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_1);
	elseif (y3 <= 4.6e-240)
		tmp = t_7;
	elseif (y3 <= 3.1e-204)
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	elseif (y3 <= 4.5e-180)
		tmp = j * t_1;
	elseif (y3 <= 1.75e-140)
		tmp = t_4;
	elseif (y3 <= 1.3e-132)
		tmp = b * t_6;
	elseif (y3 <= 3.2e-88)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y3 <= 3e-71)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y3 <= 3.7e-19)
		tmp = t * t_2;
	elseif (y3 <= 1.55e+137)
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	elseif (y3 <= 1.7e+209)
		tmp = j * (y1 * (y3 * -y4));
	elseif (y3 <= 8.5e+238)
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	else
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * t_5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(t * N[(N[(N[(j * t$95$3), $MachinePrecision] + N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y0 * t$95$5), $MachinePrecision]}, Block[{t$95$7 = 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] + t$95$6), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -6.5e+174], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.6e+70], t$95$4, If[LessEqual[y3, -1.7e-5], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.3e-61], N[(N[(N[(N[(y3 * y4), $MachinePrecision] - N[(a * N[(y3 * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(k * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.35e-94], N[(k * N[(y1 * N[(y4 * N[(y2 - N[(N[(z * i), $MachinePrecision] / y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -5.6e-189], t$95$7, If[LessEqual[y3, -7.5e-233], N[(j * N[(N[(N[(t * t$95$3), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.6e-240], t$95$7, If[LessEqual[y3, 3.1e-204], N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.5e-180], N[(j * t$95$1), $MachinePrecision], If[LessEqual[y3, 1.75e-140], t$95$4, If[LessEqual[y3, 1.3e-132], N[(b * t$95$6), $MachinePrecision], If[LessEqual[y3, 3.2e-88], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3e-71], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.7e-19], N[(t * t$95$2), $MachinePrecision], If[LessEqual[y3, 1.55e+137], N[(y2 * N[(c * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.7e+209], N[(j * N[(y1 * N[(y3 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 8.5e+238], N[(N[(j * y0), $MachinePrecision] * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 17 regimes

2. if y3 < -6.5000000000000001e174

   1. Initial program 10.6%

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

   3. Taylor expanded in y around inf 45.2%

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

      1. +-commutative 45.2%

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

      2. mul-1-neg 45.2%

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

      3. unsub-neg 45.2%

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

      4. *-commutative 45.2%

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

      5. *-commutative 45.2%

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

      6. mul-1-neg 45.2%

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

   5. Simplified 45.2%

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

   6. Taylor expanded in y3 around inf 52.4%

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

   if -6.5000000000000001e174 < y3 < -2.6e70 or 4.50000000000000009e-180 < y3 < 1.7499999999999999e-140

   1. Initial program 29.9%

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

   3. Taylor expanded in t around inf 70.9%

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

      1. +-commutative 70.9%

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

      2. mul-1-neg 70.9%

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

      3. unsub-neg 70.9%

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

      4. *-commutative 70.9%

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

   5. Simplified 70.9%

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

   if -2.6e70 < y3 < -1.7e-5

   1. Initial program 14.7%

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

   3. Taylor expanded in y2 around inf 51.0%

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

   4. Taylor expanded in k around inf 58.4%

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

   if -1.7e-5 < y3 < -3.29999999999999996e-61

   1. Initial program 47.0%

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

   3. Taylor expanded in y around inf 42.2%

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

      1. +-commutative 42.2%

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

      2. mul-1-neg 42.2%

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

      3. unsub-neg 42.2%

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

      4. *-commutative 42.2%

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

      5. *-commutative 42.2%

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

      6. mul-1-neg 42.2%

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

   5. Simplified 42.2%

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

   6. Taylor expanded in c around inf 36.9%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{y \cdot \left(\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}{c}\right)} \]
   7. Step-by-step derivation

      1. associate-/l* 36.9%

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

      2. distribute-lft-out 36.9%

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

      3. +-commutative 36.9%

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

      4. mul-1-neg 36.9%

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

      5. unsub-neg 36.9%

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

      6. *-commutative 36.9%

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

   8. Simplified 42.7%

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

   9. Taylor expanded in b around 0 54.5%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 49.0%

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

       2. *-commutative 49.0%

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

       3. +-commutative 49.0%

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

       4. mul-1-neg 49.0%

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

       5. unsub-neg 49.0%

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

       6. associate-/l* 54.5%

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

       7. associate-/l* 54.5%

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

       8. +-commutative 54.5%

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

       9. mul-1-neg 54.5%

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

       10. unsub-neg 54.5%

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

       11. *-commutative 54.5%

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

       12. associate-/l* 54.5%

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

       13. associate-/l* 48.6%

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

   11. Simplified 48.6%

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

   if -3.29999999999999996e-61 < y3 < -1.3500000000000001e-94

   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 k around inf 51.6%

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

      1. +-commutative 51.6%

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

      2. mul-1-neg 51.6%

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

      3. unsub-neg 51.6%

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

      4. *-commutative 51.6%

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

      5. associate-*r* 51.6%

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

      6. neg-mul-1 51.6%

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

   5. Simplified 51.6%

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

   6. Taylor expanded in y1 around inf 63.8%

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

   7. Taylor expanded in y4 around inf 76.0%

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

      1. mul-1-neg 76.0%

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

      2. unsub-neg 76.0%

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

      3. *-commutative 76.0%

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

   9. Simplified 76.0%

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

   if -1.3500000000000001e-94 < y3 < -5.5999999999999999e-189 or -7.49999999999999974e-233 < y3 < 4.59999999999999986e-240

   1. Initial program 42.6%

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

   3. Taylor expanded in b around inf 64.0%

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

   if -5.5999999999999999e-189 < y3 < -7.49999999999999974e-233

   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 j around inf 69.7%

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

      1. +-commutative 69.7%

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

      2. mul-1-neg 69.7%

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

      3. unsub-neg 69.7%

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

      4. *-commutative 69.7%

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

   5. Simplified 69.7%

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

   if 4.59999999999999986e-240 < y3 < 3.0999999999999999e-204

   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 y2 around inf 100.0%

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

   4. Taylor expanded in a around -inf 85.4%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 85.4%

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

   6. Simplified 85.4%

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

   if 3.0999999999999999e-204 < y3 < 4.50000000000000009e-180

   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 x around inf 50.0%

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

   4. Taylor expanded in j around inf 84.2%

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

   if 1.7499999999999999e-140 < y3 < 1.3e-132

   1. Initial program 2.5%

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

   3. Taylor expanded in b around inf 33.4%

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

   4. Taylor expanded in y0 around inf 69.7%

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

   if 1.3e-132 < y3 < 3.20000000000000012e-88

   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 y2 around inf 79.9%

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

   4. Taylor expanded in y0 around inf 80.7%

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

      1. +-commutative 80.7%

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

      2. mul-1-neg 80.7%

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

      3. unsub-neg 80.7%

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

   6. Simplified 80.7%

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

   if 3.20000000000000012e-88 < y3 < 3.0000000000000001e-71

   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 y2 around inf 83.4%

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

   4. Taylor expanded in y1 around inf 83.4%

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

      1. +-commutative 83.4%

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

      2. mul-1-neg 83.4%

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

      3. unsub-neg 83.4%

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

   6. Simplified 83.4%

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

   if 3.0000000000000001e-71 < y3 < 3.70000000000000005e-19

   1. Initial program 19.4%

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

   3. Taylor expanded in y2 around inf 46.9%

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

   4. Taylor expanded in t around inf 56.5%

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

   if 3.70000000000000005e-19 < y3 < 1.55e137

   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 y2 around inf 54.9%

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

   4. Taylor expanded in c around inf 49.1%

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

   if 1.55e137 < y3 < 1.6999999999999998e209

   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 y3 around -inf 58.3%

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

   4. Taylor expanded in y1 around inf 50.6%

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

      1. +-commutative 50.6%

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

      2. mul-1-neg 50.6%

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

      3. unsub-neg 50.6%

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

   6. Simplified 50.6%

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

   7. Taylor expanded in j around inf 58.5%

      \[\leadsto -1 \cdot \color{blue}{\left(j \cdot \left(y1 \cdot \left(y3 \cdot y4\right)\right)\right)} \]

   if 1.6999999999999998e209 < y3 < 8.49999999999999998e238

   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 y0 around inf 25.0%

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

      1. +-commutative 25.0%

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

      2. mul-1-neg 25.0%

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

      3. unsub-neg 25.0%

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

      4. *-commutative 25.0%

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

      5. *-commutative 25.0%

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

      6. *-commutative 25.0%

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

      7. *-commutative 25.0%

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

   5. Simplified 25.0%

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

   6. Taylor expanded in j around -inf 87.5%

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

      1. associate-*r* 87.5%

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

      2. +-commutative 87.5%

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

      3. mul-1-neg 87.5%

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

      4. unsub-neg 87.5%

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

      5. *-commutative 87.5%

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

   8. Simplified 87.5%

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

   if 8.49999999999999998e238 < y3

   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 y0 around inf 81.9%

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

      1. +-commutative 81.9%

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

      2. mul-1-neg 81.9%

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

      3. unsub-neg 81.9%

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

      4. *-commutative 81.9%

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

      5. *-commutative 81.9%

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

      6. *-commutative 81.9%

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

      7. *-commutative 81.9%

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

   5. Simplified 81.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]
3. Recombined 17 regimes into one program.

4. Final simplification 63.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -6.5 \cdot 10^{+174}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.6 \cdot 10^{+70}:\\ \;\;\;\;t \cdot \left(\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -1.7 \cdot 10^{-5}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -3.3 \cdot 10^{-61}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y3 \leq -1.35 \cdot 10^{-94}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -5.6 \cdot 10^{-189}:\\ \;\;\;\;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}\;y3 \leq -7.5 \cdot 10^{-233}:\\ \;\;\;\;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}\;y3 \leq 4.6 \cdot 10^{-240}:\\ \;\;\;\;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}\;y3 \leq 3.1 \cdot 10^{-204}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq 4.5 \cdot 10^{-180}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.75 \cdot 10^{-140}:\\ \;\;\;\;t \cdot \left(\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 1.3 \cdot 10^{-132}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 3.2 \cdot 10^{-88}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 3 \cdot 10^{-71}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y3 \leq 3.7 \cdot 10^{-19}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 1.55 \cdot 10^{+137}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 1.7 \cdot 10^{+209}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(y3 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 8.5 \cdot 10^{+238}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 4: 38.6% accurate, 0.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := y4 \cdot \left(\left(b \cdot t\_1 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_3 := t \cdot y2 - y \cdot y3\\ t_4 := x \cdot j - z \cdot k\\ t_5 := x \cdot y - z \cdot t\\ t_6 := b \cdot y4 - i \cdot y5\\ t_7 := j \cdot \left(\left(t \cdot t\_6 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_8 := a \cdot y5 - c \cdot y4\\ t_9 := t \cdot \left(\left(j \cdot t\_6 + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot t\_8\right)\\ t_10 := j \cdot y3 - k \cdot y2\\ t_11 := y1 \cdot \left(i \cdot t\_4 - \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot t\_10\right)\right)\\ \mathbf{if}\;t \leq -7 \cdot 10^{+216}:\\ \;\;\;\;t\_9\\ \mathbf{elif}\;t \leq -1.06 \cdot 10^{+168}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;t \leq -9 \cdot 10^{+52}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot t\_4\right)\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{-62}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t \leq -8.5 \cdot 10^{-112}:\\ \;\;\;\;y5 \cdot \left(a \cdot t\_3 + \left(y0 \cdot t\_10 - i \cdot t\_1\right)\right)\\ \mathbf{elif}\;t \leq -7 \cdot 10^{-185}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;t \leq -8.5 \cdot 10^{-191}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;t \leq -2.6 \cdot 10^{-257}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;t \leq -1.4 \cdot 10^{-292}:\\ \;\;\;\;a \cdot \left(\left(b \cdot t\_5 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right) + y5 \cdot t\_3\right)\\ \mathbf{elif}\;t \leq -9 \cdot 10^{-293}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-241}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-178}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{-162}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;t \leq 3.9 \cdot 10^{-152}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;t \leq 7.6 \cdot 10^{+56}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_5 + y4 \cdot t\_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 7.8 \cdot 10^{+116}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_8\right)\\ \mathbf{elif}\;t \leq 4 \cdot 10^{+174}:\\ \;\;\;\;t\_9\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \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 (- (* t j) (* y k)))
        (t_2
         (*
          y4
          (+
           (+ (* b t_1) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2))))))
        (t_3 (- (* t y2) (* y y3)))
        (t_4 (- (* x j) (* z k)))
        (t_5 (- (* x y) (* z t)))
        (t_6 (- (* b y4) (* i y5)))
        (t_7
         (*
          j
          (+
           (+ (* t t_6) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_8 (- (* a y5) (* c y4)))
        (t_9 (* t (+ (+ (* j t_6) (* z (- (* c i) (* a b)))) (* y2 t_8))))
        (t_10 (- (* j y3) (* k y2)))
        (t_11
         (* y1 (- (* i t_4) (+ (* a (- (* x y2) (* z y3))) (* y4 t_10))))))
   (if (<= t -7e+216)
     t_9
     (if (<= t -1.06e+168)
       t_7
       (if (<= t -9e+52)
         (* i (+ (* c (- (* z t) (* x y))) (* y1 t_4)))
         (if (<= t -3.5e-62)
           t_2
           (if (<= t -8.5e-112)
             (* y5 (+ (* a t_3) (- (* y0 t_10) (* i t_1))))
             (if (<= t -7e-185)
               t_11
               (if (<= t -8.5e-191)
                 t_2
                 (if (<= t -2.6e-257)
                   t_11
                   (if (<= t -1.4e-292)
                     (*
                      a
                      (+
                       (+ (* b t_5) (* y1 (- (* z y3) (* x y2))))
                       (* y5 t_3)))
                     (if (<= t -9e-293)
                       (* j (* y0 (* y3 y5)))
                       (if (<= t 1.2e-241)
                         t_11
                         (if (<= t 2.2e-178)
                           (* i (* k (- (* y y5) (* z y1))))
                           (if (<= t 2e-162)
                             t_7
                             (if (<= t 3.9e-152)
                               (* y1 (* y2 (- (* k y4) (* x a))))
                               (if (<= t 7.6e+56)
                                 (*
                                  b
                                  (+
                                   (+ (* a t_5) (* y4 t_1))
                                   (* y0 (- (* z k) (* x j)))))
                                 (if (<= t 7.8e+116)
                                   (*
                                    y2
                                    (+
                                     (+
                                      (* k (- (* y1 y4) (* y0 y5)))
                                      (* x (- (* c y0) (* a y1))))
                                     (* t t_8)))
                                   (if (<= t 4e+174)
                                     t_9
                                     (*
                                      y2
                                      (*
                                       y5
                                       (-
                                        (* t a)
                                        (* k 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 = (t * j) - (y * k);
	double t_2 = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_3 = (t * y2) - (y * y3);
	double t_4 = (x * j) - (z * k);
	double t_5 = (x * y) - (z * t);
	double t_6 = (b * y4) - (i * y5);
	double t_7 = j * (((t * t_6) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_8 = (a * y5) - (c * y4);
	double t_9 = t * (((j * t_6) + (z * ((c * i) - (a * b)))) + (y2 * t_8));
	double t_10 = (j * y3) - (k * y2);
	double t_11 = y1 * ((i * t_4) - ((a * ((x * y2) - (z * y3))) + (y4 * t_10)));
	double tmp;
	if (t <= -7e+216) {
		tmp = t_9;
	} else if (t <= -1.06e+168) {
		tmp = t_7;
	} else if (t <= -9e+52) {
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * t_4));
	} else if (t <= -3.5e-62) {
		tmp = t_2;
	} else if (t <= -8.5e-112) {
		tmp = y5 * ((a * t_3) + ((y0 * t_10) - (i * t_1)));
	} else if (t <= -7e-185) {
		tmp = t_11;
	} else if (t <= -8.5e-191) {
		tmp = t_2;
	} else if (t <= -2.6e-257) {
		tmp = t_11;
	} else if (t <= -1.4e-292) {
		tmp = a * (((b * t_5) + (y1 * ((z * y3) - (x * y2)))) + (y5 * t_3));
	} else if (t <= -9e-293) {
		tmp = j * (y0 * (y3 * y5));
	} else if (t <= 1.2e-241) {
		tmp = t_11;
	} else if (t <= 2.2e-178) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (t <= 2e-162) {
		tmp = t_7;
	} else if (t <= 3.9e-152) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (t <= 7.6e+56) {
		tmp = b * (((a * t_5) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	} else if (t <= 7.8e+116) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_8));
	} else if (t <= 4e+174) {
		tmp = t_9;
	} else {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_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 = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    t_3 = (t * y2) - (y * y3)
    t_4 = (x * j) - (z * k)
    t_5 = (x * y) - (z * t)
    t_6 = (b * y4) - (i * y5)
    t_7 = j * (((t * t_6) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_8 = (a * y5) - (c * y4)
    t_9 = t * (((j * t_6) + (z * ((c * i) - (a * b)))) + (y2 * t_8))
    t_10 = (j * y3) - (k * y2)
    t_11 = y1 * ((i * t_4) - ((a * ((x * y2) - (z * y3))) + (y4 * t_10)))
    if (t <= (-7d+216)) then
        tmp = t_9
    else if (t <= (-1.06d+168)) then
        tmp = t_7
    else if (t <= (-9d+52)) then
        tmp = i * ((c * ((z * t) - (x * y))) + (y1 * t_4))
    else if (t <= (-3.5d-62)) then
        tmp = t_2
    else if (t <= (-8.5d-112)) then
        tmp = y5 * ((a * t_3) + ((y0 * t_10) - (i * t_1)))
    else if (t <= (-7d-185)) then
        tmp = t_11
    else if (t <= (-8.5d-191)) then
        tmp = t_2
    else if (t <= (-2.6d-257)) then
        tmp = t_11
    else if (t <= (-1.4d-292)) then
        tmp = a * (((b * t_5) + (y1 * ((z * y3) - (x * y2)))) + (y5 * t_3))
    else if (t <= (-9d-293)) then
        tmp = j * (y0 * (y3 * y5))
    else if (t <= 1.2d-241) then
        tmp = t_11
    else if (t <= 2.2d-178) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (t <= 2d-162) then
        tmp = t_7
    else if (t <= 3.9d-152) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (t <= 7.6d+56) then
        tmp = b * (((a * t_5) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
    else if (t <= 7.8d+116) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_8))
    else if (t <= 4d+174) then
        tmp = t_9
    else
        tmp = y2 * (y5 * ((t * a) - (k * 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 = (t * j) - (y * k);
	double t_2 = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_3 = (t * y2) - (y * y3);
	double t_4 = (x * j) - (z * k);
	double t_5 = (x * y) - (z * t);
	double t_6 = (b * y4) - (i * y5);
	double t_7 = j * (((t * t_6) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_8 = (a * y5) - (c * y4);
	double t_9 = t * (((j * t_6) + (z * ((c * i) - (a * b)))) + (y2 * t_8));
	double t_10 = (j * y3) - (k * y2);
	double t_11 = y1 * ((i * t_4) - ((a * ((x * y2) - (z * y3))) + (y4 * t_10)));
	double tmp;
	if (t <= -7e+216) {
		tmp = t_9;
	} else if (t <= -1.06e+168) {
		tmp = t_7;
	} else if (t <= -9e+52) {
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * t_4));
	} else if (t <= -3.5e-62) {
		tmp = t_2;
	} else if (t <= -8.5e-112) {
		tmp = y5 * ((a * t_3) + ((y0 * t_10) - (i * t_1)));
	} else if (t <= -7e-185) {
		tmp = t_11;
	} else if (t <= -8.5e-191) {
		tmp = t_2;
	} else if (t <= -2.6e-257) {
		tmp = t_11;
	} else if (t <= -1.4e-292) {
		tmp = a * (((b * t_5) + (y1 * ((z * y3) - (x * y2)))) + (y5 * t_3));
	} else if (t <= -9e-293) {
		tmp = j * (y0 * (y3 * y5));
	} else if (t <= 1.2e-241) {
		tmp = t_11;
	} else if (t <= 2.2e-178) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (t <= 2e-162) {
		tmp = t_7;
	} else if (t <= 3.9e-152) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (t <= 7.6e+56) {
		tmp = b * (((a * t_5) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	} else if (t <= 7.8e+116) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_8));
	} else if (t <= 4e+174) {
		tmp = t_9;
	} else {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	}
	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 = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	t_3 = (t * y2) - (y * y3)
	t_4 = (x * j) - (z * k)
	t_5 = (x * y) - (z * t)
	t_6 = (b * y4) - (i * y5)
	t_7 = j * (((t * t_6) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_8 = (a * y5) - (c * y4)
	t_9 = t * (((j * t_6) + (z * ((c * i) - (a * b)))) + (y2 * t_8))
	t_10 = (j * y3) - (k * y2)
	t_11 = y1 * ((i * t_4) - ((a * ((x * y2) - (z * y3))) + (y4 * t_10)))
	tmp = 0
	if t <= -7e+216:
		tmp = t_9
	elif t <= -1.06e+168:
		tmp = t_7
	elif t <= -9e+52:
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * t_4))
	elif t <= -3.5e-62:
		tmp = t_2
	elif t <= -8.5e-112:
		tmp = y5 * ((a * t_3) + ((y0 * t_10) - (i * t_1)))
	elif t <= -7e-185:
		tmp = t_11
	elif t <= -8.5e-191:
		tmp = t_2
	elif t <= -2.6e-257:
		tmp = t_11
	elif t <= -1.4e-292:
		tmp = a * (((b * t_5) + (y1 * ((z * y3) - (x * y2)))) + (y5 * t_3))
	elif t <= -9e-293:
		tmp = j * (y0 * (y3 * y5))
	elif t <= 1.2e-241:
		tmp = t_11
	elif t <= 2.2e-178:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif t <= 2e-162:
		tmp = t_7
	elif t <= 3.9e-152:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif t <= 7.6e+56:
		tmp = b * (((a * t_5) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
	elif t <= 7.8e+116:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_8))
	elif t <= 4e+174:
		tmp = t_9
	else:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * j) - Float64(y * k))
	t_2 = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_3 = Float64(Float64(t * y2) - Float64(y * y3))
	t_4 = Float64(Float64(x * j) - Float64(z * k))
	t_5 = Float64(Float64(x * y) - Float64(z * t))
	t_6 = Float64(Float64(b * y4) - Float64(i * y5))
	t_7 = Float64(j * Float64(Float64(Float64(t * t_6) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_8 = Float64(Float64(a * y5) - Float64(c * y4))
	t_9 = Float64(t * Float64(Float64(Float64(j * t_6) + Float64(z * Float64(Float64(c * i) - Float64(a * b)))) + Float64(y2 * t_8)))
	t_10 = Float64(Float64(j * y3) - Float64(k * y2))
	t_11 = Float64(y1 * Float64(Float64(i * t_4) - Float64(Float64(a * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y4 * t_10))))
	tmp = 0.0
	if (t <= -7e+216)
		tmp = t_9;
	elseif (t <= -1.06e+168)
		tmp = t_7;
	elseif (t <= -9e+52)
		tmp = Float64(i * Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y1 * t_4)));
	elseif (t <= -3.5e-62)
		tmp = t_2;
	elseif (t <= -8.5e-112)
		tmp = Float64(y5 * Float64(Float64(a * t_3) + Float64(Float64(y0 * t_10) - Float64(i * t_1))));
	elseif (t <= -7e-185)
		tmp = t_11;
	elseif (t <= -8.5e-191)
		tmp = t_2;
	elseif (t <= -2.6e-257)
		tmp = t_11;
	elseif (t <= -1.4e-292)
		tmp = Float64(a * Float64(Float64(Float64(b * t_5) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))) + Float64(y5 * t_3)));
	elseif (t <= -9e-293)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (t <= 1.2e-241)
		tmp = t_11;
	elseif (t <= 2.2e-178)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (t <= 2e-162)
		tmp = t_7;
	elseif (t <= 3.9e-152)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (t <= 7.6e+56)
		tmp = Float64(b * Float64(Float64(Float64(a * t_5) + Float64(y4 * t_1)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (t <= 7.8e+116)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_8)));
	elseif (t <= 4e+174)
		tmp = t_9;
	else
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * 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 = (t * j) - (y * k);
	t_2 = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	t_3 = (t * y2) - (y * y3);
	t_4 = (x * j) - (z * k);
	t_5 = (x * y) - (z * t);
	t_6 = (b * y4) - (i * y5);
	t_7 = j * (((t * t_6) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_8 = (a * y5) - (c * y4);
	t_9 = t * (((j * t_6) + (z * ((c * i) - (a * b)))) + (y2 * t_8));
	t_10 = (j * y3) - (k * y2);
	t_11 = y1 * ((i * t_4) - ((a * ((x * y2) - (z * y3))) + (y4 * t_10)));
	tmp = 0.0;
	if (t <= -7e+216)
		tmp = t_9;
	elseif (t <= -1.06e+168)
		tmp = t_7;
	elseif (t <= -9e+52)
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * t_4));
	elseif (t <= -3.5e-62)
		tmp = t_2;
	elseif (t <= -8.5e-112)
		tmp = y5 * ((a * t_3) + ((y0 * t_10) - (i * t_1)));
	elseif (t <= -7e-185)
		tmp = t_11;
	elseif (t <= -8.5e-191)
		tmp = t_2;
	elseif (t <= -2.6e-257)
		tmp = t_11;
	elseif (t <= -1.4e-292)
		tmp = a * (((b * t_5) + (y1 * ((z * y3) - (x * y2)))) + (y5 * t_3));
	elseif (t <= -9e-293)
		tmp = j * (y0 * (y3 * y5));
	elseif (t <= 1.2e-241)
		tmp = t_11;
	elseif (t <= 2.2e-178)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (t <= 2e-162)
		tmp = t_7;
	elseif (t <= 3.9e-152)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (t <= 7.6e+56)
		tmp = b * (((a * t_5) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	elseif (t <= 7.8e+116)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_8));
	elseif (t <= 4e+174)
		tmp = t_9;
	else
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(j * N[(N[(N[(t * t$95$6), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(t * N[(N[(N[(j * t$95$6), $MachinePrecision] + N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(y1 * N[(N[(i * t$95$4), $MachinePrecision] - N[(N[(a * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -7e+216], t$95$9, If[LessEqual[t, -1.06e+168], t$95$7, If[LessEqual[t, -9e+52], N[(i * N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -3.5e-62], t$95$2, If[LessEqual[t, -8.5e-112], N[(y5 * N[(N[(a * t$95$3), $MachinePrecision] + N[(N[(y0 * t$95$10), $MachinePrecision] - N[(i * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -7e-185], t$95$11, If[LessEqual[t, -8.5e-191], t$95$2, If[LessEqual[t, -2.6e-257], t$95$11, If[LessEqual[t, -1.4e-292], N[(a * N[(N[(N[(b * t$95$5), $MachinePrecision] + N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -9e-293], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.2e-241], t$95$11, If[LessEqual[t, 2.2e-178], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2e-162], t$95$7, If[LessEqual[t, 3.9e-152], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 7.6e+56], N[(b * N[(N[(N[(a * t$95$5), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 7.8e+116], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 4e+174], t$95$9, N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if t < -6.99999999999999984e216 or 7.80000000000000065e116 < t < 4.00000000000000028e174

   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 t around inf 72.9%

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

      1. +-commutative 72.9%

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

      2. mul-1-neg 72.9%

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

      3. unsub-neg 72.9%

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

      4. *-commutative 72.9%

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

   5. Simplified 72.9%

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

   if -6.99999999999999984e216 < t < -1.0599999999999999e168 or 2.2000000000000001e-178 < t < 1.99999999999999991e-162

   1. Initial program 12.4%

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

   3. Taylor expanded in j around inf 82.9%

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

      1. +-commutative 82.9%

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

      2. mul-1-neg 82.9%

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

      3. unsub-neg 82.9%

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

      4. *-commutative 82.9%

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

   5. Simplified 82.9%

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

   if -1.0599999999999999e168 < t < -8.9999999999999999e52

   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 i around -inf 65.6%

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

   4. Taylor expanded in y5 around 0 65.9%

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

   if -8.9999999999999999e52 < t < -3.5000000000000001e-62 or -6.9999999999999996e-185 < t < -8.49999999999999954e-191

   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 62.6%

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

   if -3.5000000000000001e-62 < t < -8.49999999999999992e-112

   1. Initial program 10.3%

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

   3. Taylor expanded in y5 around -inf 73.5%

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

   if -8.49999999999999992e-112 < t < -6.9999999999999996e-185 or -8.49999999999999954e-191 < t < -2.6000000000000001e-257 or -9.0000000000000005e-293 < t < 1.2e-241

   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 y1 around -inf 63.4%

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

      1. associate-*r* 63.4%

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

      2. neg-mul-1 63.4%

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

      3. +-commutative 63.4%

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

      4. mul-1-neg 63.4%

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

      5. unsub-neg 63.4%

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

      6. *-commutative 63.4%

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

      7. *-commutative 63.4%

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

      8. *-commutative 63.4%

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

      9. *-commutative 63.4%

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

   5. Simplified 63.4%

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

   if -2.6000000000000001e-257 < t < -1.4000000000000001e-292

   1. Initial program 34.0%

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

   3. Taylor expanded in a around inf 56.6%

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

      1. +-commutative 56.6%

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

      2. mul-1-neg 56.6%

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

      3. unsub-neg 56.6%

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

      4. *-commutative 56.6%

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

      5. *-commutative 56.6%

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

      6. *-commutative 56.6%

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

      7. mul-1-neg 56.6%

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

      8. *-commutative 56.6%

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

   5. Simplified 56.6%

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

   if -1.4000000000000001e-292 < t < -9.0000000000000005e-293

   1. Initial program 100.0%

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

   3. Taylor expanded in y0 around inf 100.0%

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

      1. +-commutative 100.0%

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

      2. mul-1-neg 100.0%

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

      3. unsub-neg 100.0%

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

      4. *-commutative 100.0%

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

      5. *-commutative 100.0%

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

      6. *-commutative 100.0%

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

      7. *-commutative 100.0%

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

   5. Simplified 100.0%

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

   6. Taylor expanded in y5 around inf 100.0%

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

   7. Taylor expanded in j around inf 100.0%

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

      1. *-commutative 100.0%

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

      2. *-commutative 100.0%

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

   9. Simplified 100.0%

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

   if 1.2e-241 < t < 2.2000000000000001e-178

   1. Initial program 49.8%

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

   3. Taylor expanded in k around inf 63.2%

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

      1. +-commutative 63.2%

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

      2. mul-1-neg 63.2%

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

      3. unsub-neg 63.2%

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

      4. *-commutative 63.2%

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

      5. associate-*r* 63.2%

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

      6. neg-mul-1 63.2%

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

   5. Simplified 63.2%

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

   6. Taylor expanded in i around -inf 75.5%

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

      1. +-commutative 75.5%

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

      2. mul-1-neg 75.5%

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

      3. unsub-neg 75.5%

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

   8. Simplified 75.5%

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

   if 1.99999999999999991e-162 < t < 3.9000000000000004e-152

   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 y2 around inf 100.0%

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

   4. Taylor expanded in y1 around inf 100.0%

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

      1. +-commutative 100.0%

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

      2. mul-1-neg 100.0%

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

      3. unsub-neg 100.0%

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

   6. Simplified 100.0%

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

   if 3.9000000000000004e-152 < t < 7.59999999999999991e56

   1. Initial program 34.1%

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

   3. Taylor expanded in b around inf 54.6%

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

   if 7.59999999999999991e56 < t < 7.80000000000000065e116

   1. Initial program 55.6%

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

   3. Taylor expanded in y2 around inf 88.9%

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

   if 4.00000000000000028e174 < t

   1. Initial program 17.5%

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

   3. Taylor expanded in y2 around inf 42.7%

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

   4. Taylor expanded in y5 around -inf 53.2%

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

      1. mul-1-neg 53.2%

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

   6. Simplified 53.2%

      \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 64.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -7 \cdot 10^{+216}:\\ \;\;\;\;t \cdot \left(\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq -1.06 \cdot 10^{+168}:\\ \;\;\;\;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}\;t \leq -9 \cdot 10^{+52}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;t \leq -3.5 \cdot 10^{-62}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -8.5 \cdot 10^{-112}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right) - i \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;t \leq -7 \cdot 10^{-185}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;t \leq -8.5 \cdot 10^{-191}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -2.6 \cdot 10^{-257}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;t \leq -1.4 \cdot 10^{-292}:\\ \;\;\;\;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}\;t \leq -9 \cdot 10^{-293}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 1.2 \cdot 10^{-241}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;t \leq 2.2 \cdot 10^{-178}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;t \leq 2 \cdot 10^{-162}:\\ \;\;\;\;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}\;t \leq 3.9 \cdot 10^{-152}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;t \leq 7.6 \cdot 10^{+56}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 7.8 \cdot 10^{+116}:\\ \;\;\;\;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}\;t \leq 4 \cdot 10^{+174}:\\ \;\;\;\;t \cdot \left(\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 5: 38.3% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := x \cdot y - z \cdot t\\ t_3 := y1 \cdot y4 - y0 \cdot y5\\ t_4 := k \cdot \left(\left(y2 \cdot t\_3 + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_5 := x \cdot \left(i \cdot y1 - b \cdot y0\right)\\ t_6 := a \cdot y5 - c \cdot y4\\ t_7 := b \cdot y4 - i \cdot y5\\ t_8 := j \cdot \left(\left(t \cdot t\_7 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + t\_5\right)\\ \mathbf{if}\;k \leq -4 \cdot 10^{+195}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;k \leq -17000000:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_3 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t\_6\right)\\ \mathbf{elif}\;k \leq -1.4 \cdot 10^{-15}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;k \leq -5 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.25 \cdot 10^{-92}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -4.1 \cdot 10^{-225}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;k \leq -5.2 \cdot 10^{-269}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 1.9 \cdot 10^{-295}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t\_1 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.4 \cdot 10^{-250}:\\ \;\;\;\;j \cdot t\_5\\ \mathbf{elif}\;k \leq 1.46 \cdot 10^{-80}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;k \leq 2.4 \cdot 10^{-37}:\\ \;\;\;\;t \cdot \left(\left(j \cdot t\_7 + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot t\_6\right)\\ \mathbf{elif}\;k \leq 8 \cdot 10^{+54}:\\ \;\;\;\;a \cdot \left(\left(b \cdot t\_2 + y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right) + y5 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq 7.8 \cdot 10^{+90}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;k \leq 5.4 \cdot 10^{+135}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;k \leq 1.32 \cdot 10^{+162}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;k \leq 8.2 \cdot 10^{+186}:\\ \;\;\;\;b \cdot \left(\left(a \cdot t\_2 + y4 \cdot t\_1\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* t j) (* y k)))
        (t_2 (- (* x y) (* z t)))
        (t_3 (- (* y1 y4) (* y0 y5)))
        (t_4
         (*
          k
          (+
           (+ (* y2 t_3) (* y (- (* i y5) (* b y4))))
           (* z (- (* b y0) (* i y1))))))
        (t_5 (* x (- (* i y1) (* b y0))))
        (t_6 (- (* a y5) (* c y4)))
        (t_7 (- (* b y4) (* i y5)))
        (t_8 (* j (+ (+ (* t t_7) (* y3 (- (* y0 y5) (* y1 y4)))) t_5))))
   (if (<= k -4e+195)
     t_4
     (if (<= k -17000000.0)
       (* y2 (+ (+ (* k t_3) (* x (- (* c y0) (* a y1)))) (* t t_6)))
       (if (<= k -1.4e-15)
         (* y (* a (* x b)))
         (if (<= k -5e-27)
           (* y (* y3 (- (* c y4) (* a y5))))
           (if (<= k -1.25e-92)
             (* a (* x (- (* y b) (* y1 y2))))
             (if (<= k -4.1e-225)
               t_8
               (if (<= k -5.2e-269)
                 (* y2 (* a (- (* t y5) (* x y1))))
                 (if (<= k 1.9e-295)
                   (*
                    y4
                    (+
                     (+ (* b t_1) (* y1 (- (* k y2) (* j y3))))
                     (* c (- (* y y3) (* t y2)))))
                   (if (<= k 2.4e-250)
                     (* j t_5)
                     (if (<= k 1.46e-80)
                       (*
                        y1
                        (-
                         (* i (- (* x j) (* z k)))
                         (+
                          (* a (- (* x y2) (* z y3)))
                          (* y4 (- (* j y3) (* k y2))))))
                       (if (<= k 2.4e-37)
                         (*
                          t
                          (+
                           (+ (* j t_7) (* z (- (* c i) (* a b))))
                           (* y2 t_6)))
                         (if (<= k 8e+54)
                           (*
                            a
                            (+
                             (+ (* b t_2) (* y1 (- (* z y3) (* x y2))))
                             (* y5 (- (* t y2) (* y y3)))))
                           (if (<= k 7.8e+90)
                             t_4
                             (if (<= k 5.4e+135)
                               (* (* y c) (- (* y3 y4) (* x i)))
                               (if (<= k 1.32e+162)
                                 t_8
                                 (if (<= k 8.2e+186)
                                   (*
                                    b
                                    (+
                                     (+ (* a t_2) (* y4 t_1))
                                     (* y0 (- (* z k) (* x j)))))
                                   t_4))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = (x * y) - (z * t);
	double t_3 = (y1 * y4) - (y0 * y5);
	double t_4 = k * (((y2 * t_3) + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))));
	double t_5 = x * ((i * y1) - (b * y0));
	double t_6 = (a * y5) - (c * y4);
	double t_7 = (b * y4) - (i * y5);
	double t_8 = j * (((t * t_7) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_5);
	double tmp;
	if (k <= -4e+195) {
		tmp = t_4;
	} else if (k <= -17000000.0) {
		tmp = y2 * (((k * t_3) + (x * ((c * y0) - (a * y1)))) + (t * t_6));
	} else if (k <= -1.4e-15) {
		tmp = y * (a * (x * b));
	} else if (k <= -5e-27) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (k <= -1.25e-92) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -4.1e-225) {
		tmp = t_8;
	} else if (k <= -5.2e-269) {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	} else if (k <= 1.9e-295) {
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (k <= 2.4e-250) {
		tmp = j * t_5;
	} else if (k <= 1.46e-80) {
		tmp = y1 * ((i * ((x * j) - (z * k))) - ((a * ((x * y2) - (z * y3))) + (y4 * ((j * y3) - (k * y2)))));
	} else if (k <= 2.4e-37) {
		tmp = t * (((j * t_7) + (z * ((c * i) - (a * b)))) + (y2 * t_6));
	} else if (k <= 8e+54) {
		tmp = a * (((b * t_2) + (y1 * ((z * y3) - (x * y2)))) + (y5 * ((t * y2) - (y * y3))));
	} else if (k <= 7.8e+90) {
		tmp = t_4;
	} else if (k <= 5.4e+135) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (k <= 1.32e+162) {
		tmp = t_8;
	} else if (k <= 8.2e+186) {
		tmp = b * (((a * t_2) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: tmp
    t_1 = (t * j) - (y * k)
    t_2 = (x * y) - (z * t)
    t_3 = (y1 * y4) - (y0 * y5)
    t_4 = k * (((y2 * t_3) + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))))
    t_5 = x * ((i * y1) - (b * y0))
    t_6 = (a * y5) - (c * y4)
    t_7 = (b * y4) - (i * y5)
    t_8 = j * (((t * t_7) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_5)
    if (k <= (-4d+195)) then
        tmp = t_4
    else if (k <= (-17000000.0d0)) then
        tmp = y2 * (((k * t_3) + (x * ((c * y0) - (a * y1)))) + (t * t_6))
    else if (k <= (-1.4d-15)) then
        tmp = y * (a * (x * b))
    else if (k <= (-5d-27)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (k <= (-1.25d-92)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (k <= (-4.1d-225)) then
        tmp = t_8
    else if (k <= (-5.2d-269)) then
        tmp = y2 * (a * ((t * y5) - (x * y1)))
    else if (k <= 1.9d-295) then
        tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (k <= 2.4d-250) then
        tmp = j * t_5
    else if (k <= 1.46d-80) then
        tmp = y1 * ((i * ((x * j) - (z * k))) - ((a * ((x * y2) - (z * y3))) + (y4 * ((j * y3) - (k * y2)))))
    else if (k <= 2.4d-37) then
        tmp = t * (((j * t_7) + (z * ((c * i) - (a * b)))) + (y2 * t_6))
    else if (k <= 8d+54) then
        tmp = a * (((b * t_2) + (y1 * ((z * y3) - (x * y2)))) + (y5 * ((t * y2) - (y * y3))))
    else if (k <= 7.8d+90) then
        tmp = t_4
    else if (k <= 5.4d+135) then
        tmp = (y * c) * ((y3 * y4) - (x * i))
    else if (k <= 1.32d+162) then
        tmp = t_8
    else if (k <= 8.2d+186) then
        tmp = b * (((a * t_2) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
    else
        tmp = t_4
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (t * j) - (y * k);
	double t_2 = (x * y) - (z * t);
	double t_3 = (y1 * y4) - (y0 * y5);
	double t_4 = k * (((y2 * t_3) + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))));
	double t_5 = x * ((i * y1) - (b * y0));
	double t_6 = (a * y5) - (c * y4);
	double t_7 = (b * y4) - (i * y5);
	double t_8 = j * (((t * t_7) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_5);
	double tmp;
	if (k <= -4e+195) {
		tmp = t_4;
	} else if (k <= -17000000.0) {
		tmp = y2 * (((k * t_3) + (x * ((c * y0) - (a * y1)))) + (t * t_6));
	} else if (k <= -1.4e-15) {
		tmp = y * (a * (x * b));
	} else if (k <= -5e-27) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (k <= -1.25e-92) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -4.1e-225) {
		tmp = t_8;
	} else if (k <= -5.2e-269) {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	} else if (k <= 1.9e-295) {
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (k <= 2.4e-250) {
		tmp = j * t_5;
	} else if (k <= 1.46e-80) {
		tmp = y1 * ((i * ((x * j) - (z * k))) - ((a * ((x * y2) - (z * y3))) + (y4 * ((j * y3) - (k * y2)))));
	} else if (k <= 2.4e-37) {
		tmp = t * (((j * t_7) + (z * ((c * i) - (a * b)))) + (y2 * t_6));
	} else if (k <= 8e+54) {
		tmp = a * (((b * t_2) + (y1 * ((z * y3) - (x * y2)))) + (y5 * ((t * y2) - (y * y3))));
	} else if (k <= 7.8e+90) {
		tmp = t_4;
	} else if (k <= 5.4e+135) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (k <= 1.32e+162) {
		tmp = t_8;
	} else if (k <= 8.2e+186) {
		tmp = b * (((a * t_2) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (t * j) - (y * k)
	t_2 = (x * y) - (z * t)
	t_3 = (y1 * y4) - (y0 * y5)
	t_4 = k * (((y2 * t_3) + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))))
	t_5 = x * ((i * y1) - (b * y0))
	t_6 = (a * y5) - (c * y4)
	t_7 = (b * y4) - (i * y5)
	t_8 = j * (((t * t_7) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_5)
	tmp = 0
	if k <= -4e+195:
		tmp = t_4
	elif k <= -17000000.0:
		tmp = y2 * (((k * t_3) + (x * ((c * y0) - (a * y1)))) + (t * t_6))
	elif k <= -1.4e-15:
		tmp = y * (a * (x * b))
	elif k <= -5e-27:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif k <= -1.25e-92:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif k <= -4.1e-225:
		tmp = t_8
	elif k <= -5.2e-269:
		tmp = y2 * (a * ((t * y5) - (x * y1)))
	elif k <= 1.9e-295:
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif k <= 2.4e-250:
		tmp = j * t_5
	elif k <= 1.46e-80:
		tmp = y1 * ((i * ((x * j) - (z * k))) - ((a * ((x * y2) - (z * y3))) + (y4 * ((j * y3) - (k * y2)))))
	elif k <= 2.4e-37:
		tmp = t * (((j * t_7) + (z * ((c * i) - (a * b)))) + (y2 * t_6))
	elif k <= 8e+54:
		tmp = a * (((b * t_2) + (y1 * ((z * y3) - (x * y2)))) + (y5 * ((t * y2) - (y * y3))))
	elif k <= 7.8e+90:
		tmp = t_4
	elif k <= 5.4e+135:
		tmp = (y * c) * ((y3 * y4) - (x * i))
	elif k <= 1.32e+162:
		tmp = t_8
	elif k <= 8.2e+186:
		tmp = b * (((a * t_2) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))))
	else:
		tmp = t_4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(t * j) - Float64(y * k))
	t_2 = Float64(Float64(x * y) - Float64(z * t))
	t_3 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_4 = Float64(k * Float64(Float64(Float64(y2 * t_3) + Float64(y * Float64(Float64(i * y5) - Float64(b * y4)))) + Float64(z * Float64(Float64(b * y0) - Float64(i * y1)))))
	t_5 = Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))
	t_6 = Float64(Float64(a * y5) - Float64(c * y4))
	t_7 = Float64(Float64(b * y4) - Float64(i * y5))
	t_8 = Float64(j * Float64(Float64(Float64(t * t_7) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + t_5))
	tmp = 0.0
	if (k <= -4e+195)
		tmp = t_4;
	elseif (k <= -17000000.0)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_3) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_6)));
	elseif (k <= -1.4e-15)
		tmp = Float64(y * Float64(a * Float64(x * b)));
	elseif (k <= -5e-27)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (k <= -1.25e-92)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (k <= -4.1e-225)
		tmp = t_8;
	elseif (k <= -5.2e-269)
		tmp = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))));
	elseif (k <= 1.9e-295)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_1) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (k <= 2.4e-250)
		tmp = Float64(j * t_5);
	elseif (k <= 1.46e-80)
		tmp = Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) - Float64(Float64(a * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y4 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (k <= 2.4e-37)
		tmp = Float64(t * Float64(Float64(Float64(j * t_7) + Float64(z * Float64(Float64(c * i) - Float64(a * b)))) + Float64(y2 * t_6)));
	elseif (k <= 8e+54)
		tmp = Float64(a * Float64(Float64(Float64(b * t_2) + Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2)))) + Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (k <= 7.8e+90)
		tmp = t_4;
	elseif (k <= 5.4e+135)
		tmp = Float64(Float64(y * c) * Float64(Float64(y3 * y4) - Float64(x * i)));
	elseif (k <= 1.32e+162)
		tmp = t_8;
	elseif (k <= 8.2e+186)
		tmp = Float64(b * Float64(Float64(Float64(a * t_2) + Float64(y4 * t_1)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = t_4;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (t * j) - (y * k);
	t_2 = (x * y) - (z * t);
	t_3 = (y1 * y4) - (y0 * y5);
	t_4 = k * (((y2 * t_3) + (y * ((i * y5) - (b * y4)))) + (z * ((b * y0) - (i * y1))));
	t_5 = x * ((i * y1) - (b * y0));
	t_6 = (a * y5) - (c * y4);
	t_7 = (b * y4) - (i * y5);
	t_8 = j * (((t * t_7) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_5);
	tmp = 0.0;
	if (k <= -4e+195)
		tmp = t_4;
	elseif (k <= -17000000.0)
		tmp = y2 * (((k * t_3) + (x * ((c * y0) - (a * y1)))) + (t * t_6));
	elseif (k <= -1.4e-15)
		tmp = y * (a * (x * b));
	elseif (k <= -5e-27)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (k <= -1.25e-92)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (k <= -4.1e-225)
		tmp = t_8;
	elseif (k <= -5.2e-269)
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	elseif (k <= 1.9e-295)
		tmp = y4 * (((b * t_1) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (k <= 2.4e-250)
		tmp = j * t_5;
	elseif (k <= 1.46e-80)
		tmp = y1 * ((i * ((x * j) - (z * k))) - ((a * ((x * y2) - (z * y3))) + (y4 * ((j * y3) - (k * y2)))));
	elseif (k <= 2.4e-37)
		tmp = t * (((j * t_7) + (z * ((c * i) - (a * b)))) + (y2 * t_6));
	elseif (k <= 8e+54)
		tmp = a * (((b * t_2) + (y1 * ((z * y3) - (x * y2)))) + (y5 * ((t * y2) - (y * y3))));
	elseif (k <= 7.8e+90)
		tmp = t_4;
	elseif (k <= 5.4e+135)
		tmp = (y * c) * ((y3 * y4) - (x * i));
	elseif (k <= 1.32e+162)
		tmp = t_8;
	elseif (k <= 8.2e+186)
		tmp = b * (((a * t_2) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	else
		tmp = t_4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(k * N[(N[(N[(y2 * t$95$3), $MachinePrecision] + N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(j * N[(N[(N[(t * t$95$7), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4e+195], t$95$4, If[LessEqual[k, -17000000.0], N[(y2 * N[(N[(N[(k * t$95$3), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.4e-15], N[(y * N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -5e-27], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.25e-92], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.1e-225], t$95$8, If[LessEqual[k, -5.2e-269], N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.9e-295], N[(y4 * N[(N[(N[(b * t$95$1), $MachinePrecision] + N[(y1 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.4e-250], N[(j * t$95$5), $MachinePrecision], If[LessEqual[k, 1.46e-80], N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(a * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.4e-37], N[(t * N[(N[(N[(j * t$95$7), $MachinePrecision] + N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 8e+54], N[(a * N[(N[(N[(b * t$95$2), $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], If[LessEqual[k, 7.8e+90], t$95$4, If[LessEqual[k, 5.4e+135], N[(N[(y * c), $MachinePrecision] * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.32e+162], t$95$8, If[LessEqual[k, 8.2e+186], N[(b * N[(N[(N[(a * t$95$2), $MachinePrecision] + N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 14 regimes

2. if k < -3.99999999999999991e195 or 8.0000000000000006e54 < k < 7.8000000000000004e90 or 8.2e186 < k

   1. Initial program 29.9%

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

   3. Taylor expanded in k around inf 65.7%

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

      1. +-commutative 65.7%

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

      2. mul-1-neg 65.7%

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

      3. unsub-neg 65.7%

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

      4. *-commutative 65.7%

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

      5. associate-*r* 65.7%

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

      6. neg-mul-1 65.7%

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

   5. Simplified 65.7%

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

   if -3.99999999999999991e195 < k < -1.7e7

   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 y2 around inf 48.3%

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

   if -1.7e7 < k < -1.40000000000000007e-15

   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 41.2%

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

   4. Taylor expanded in a around inf 41.8%

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

      1. +-commutative 41.8%

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

      2. mul-1-neg 41.8%

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

      3. unsub-neg 41.8%

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

   6. Simplified 41.8%

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

   7. Taylor expanded in b around inf 41.7%

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

      1. pow1 41.7%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

      2. associate-*r* 60.8%

         \[\leadsto {\left(a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)}\right)}^{1} \]

   9. Applied egg-rr 60.8%

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

       1. unpow1 60.8%

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

       2. associate-*r* 80.0%

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

   11. Simplified 80.0%

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

   if -1.40000000000000007e-15 < k < -5.0000000000000002e-27

   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 33.3%

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

      1. +-commutative 33.3%

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

      2. mul-1-neg 33.3%

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

      3. unsub-neg 33.3%

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

      4. *-commutative 33.3%

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

      5. *-commutative 33.3%

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

      6. mul-1-neg 33.3%

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

   5. Simplified 33.3%

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

   6. Taylor expanded in y3 around inf 100.0%

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

   if -5.0000000000000002e-27 < k < -1.25000000000000003e-92

   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 x around inf 39.2%

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

   4. Taylor expanded in a around inf 63.1%

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

      1. +-commutative 63.1%

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

      2. mul-1-neg 63.1%

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

      3. unsub-neg 63.1%

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

   6. Simplified 63.1%

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

   if -1.25000000000000003e-92 < k < -4.10000000000000022e-225 or 5.3999999999999997e135 < k < 1.31999999999999999e162

   1. Initial program 23.3%

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

   3. Taylor expanded in j around inf 73.5%

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

      1. +-commutative 73.5%

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

      2. mul-1-neg 73.5%

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

      3. unsub-neg 73.5%

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

      4. *-commutative 73.5%

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

   5. Simplified 73.5%

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

   if -4.10000000000000022e-225 < k < -5.2e-269

   1. Initial program 33.2%

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

   3. Taylor expanded in y2 around inf 53.4%

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

   4. Taylor expanded in a around -inf 66.8%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 66.8%

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

   6. Simplified 66.8%

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

   if -5.2e-269 < k < 1.90000000000000009e-295

   1. Initial program 39.7%

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

   3. Taylor expanded in y4 around inf 62.7%

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

   if 1.90000000000000009e-295 < k < 2.3999999999999999e-250

   1. Initial program 38.5%

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

   3. Taylor expanded in x around inf 61.7%

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

   4. Taylor expanded in j around inf 62.6%

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

   if 2.3999999999999999e-250 < k < 1.46e-80

   1. Initial program 46.8%

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

   3. Taylor expanded in y1 around -inf 58.3%

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

      1. associate-*r* 58.3%

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

      2. neg-mul-1 58.3%

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

      3. +-commutative 58.3%

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

      4. mul-1-neg 58.3%

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

      5. unsub-neg 58.3%

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

      6. *-commutative 58.3%

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

      7. *-commutative 58.3%

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

      8. *-commutative 58.3%

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

      9. *-commutative 58.3%

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

   5. Simplified 58.3%

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

   if 1.46e-80 < k < 2.39999999999999991e-37

   1. Initial program 10.0%

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

   3. Taylor expanded in t around inf 70.5%

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

      1. +-commutative 70.5%

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

      2. mul-1-neg 70.5%

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

      3. unsub-neg 70.5%

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

      4. *-commutative 70.5%

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

   5. Simplified 70.5%

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

   if 2.39999999999999991e-37 < k < 8.0000000000000006e54

   1. Initial program 29.4%

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

   3. Taylor expanded in a around inf 59.5%

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

      1. +-commutative 59.5%

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

      2. mul-1-neg 59.5%

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

      3. unsub-neg 59.5%

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

      4. *-commutative 59.5%

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

      5. *-commutative 59.5%

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

      6. *-commutative 59.5%

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

      7. mul-1-neg 59.5%

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

      8. *-commutative 59.5%

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

   5. Simplified 59.5%

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

   if 7.8000000000000004e90 < k < 5.3999999999999997e135

   1. Initial program 20.5%

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

   3. Taylor expanded in y around inf 40.5%

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

      1. +-commutative 40.5%

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

      2. mul-1-neg 40.5%

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

      3. unsub-neg 40.5%

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

      4. *-commutative 40.5%

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

      5. *-commutative 40.5%

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

      6. mul-1-neg 40.5%

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

   5. Simplified 40.5%

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

   6. Taylor expanded in c around inf 61.4%

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

      1. associate-*r* 61.3%

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

      2. +-commutative 61.3%

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

      3. mul-1-neg 61.3%

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

      4. unsub-neg 61.3%

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

      5. *-commutative 61.3%

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

   8. Simplified 61.3%

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

   if 1.31999999999999999e162 < k < 8.2e186

   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 b around inf 71.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
3. Recombined 14 regimes into one program.

4. Final simplification 63.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4 \cdot 10^{+195}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -17000000:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq -1.4 \cdot 10^{-15}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;k \leq -5 \cdot 10^{-27}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -1.25 \cdot 10^{-92}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -4.1 \cdot 10^{-225}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq -5.2 \cdot 10^{-269}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 1.9 \cdot 10^{-295}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq 2.4 \cdot 10^{-250}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 1.46 \cdot 10^{-80}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;k \leq 2.4 \cdot 10^{-37}:\\ \;\;\;\;t \cdot \left(\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;k \leq 8 \cdot 10^{+54}:\\ \;\;\;\;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}\;k \leq 7.8 \cdot 10^{+90}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 5.4 \cdot 10^{+135}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;k \leq 1.32 \cdot 10^{+162}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;k \leq 8.2 \cdot 10^{+186}:\\ \;\;\;\;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{else}:\\ \;\;\;\;k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right) + z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 33.9% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ t_2 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_3 := z \cdot t - x \cdot y\\ t_4 := c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot t\_3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_5 := 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{if}\;y5 \leq -2.85 \cdot 10^{+280}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y5 \leq -2.8 \cdot 10^{+192}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{+159}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -3.9 \cdot 10^{-62}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq -7 \cdot 10^{-150}:\\ \;\;\;\;i \cdot \left(c \cdot t\_3 + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -7 \cdot 10^{-188}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 1.15 \cdot 10^{-304}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 1.3 \cdot 10^{-304}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 4.2 \cdot 10^{-244}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 2.45 \cdot 10^{-116}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 3 \cdot 10^{-80}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y5 \leq 3.8 \cdot 10^{-80}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 3.2 \cdot 10^{-42}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq 6.5 \cdot 10^{+51}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 7.2 \cdot 10^{+51}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 1.12 \cdot 10^{+135}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y1 (* y2 y4))))
        (t_2 (* j (* x (- (* i y1) (* b y0)))))
        (t_3 (- (* z t) (* x y)))
        (t_4
         (*
          c
          (+
           (+ (* y0 (- (* x y2) (* z y3))) (* i t_3))
           (* y4 (- (* y y3) (* t y2))))))
        (t_5
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j)))))))
   (if (<= y5 -2.85e+280)
     t_4
     (if (<= y5 -2.8e+192)
       (* (* j y0) (- (* y3 y5) (* x b)))
       (if (<= y5 -5.5e+159)
         (* t (* y2 (- (* a y5) (* c y4))))
         (if (<= y5 -3.9e-62)
           t_5
           (if (<= y5 -7e-150)
             (* i (+ (* c t_3) (* y1 (- (* x j) (* z k)))))
             (if (<= y5 -7e-188)
               t_2
               (if (<= y5 1.15e-304)
                 (*
                  y
                  (+ (* x (- (* a b) (* c i))) (* k (- (* i y5) (* b y4)))))
                 (if (<= y5 1.3e-304)
                   t_1
                   (if (<= y5 4.2e-244)
                     (* y1 (* y3 (- (* z a) (* j y4))))
                     (if (<= y5 2.45e-116)
                       t_2
                       (if (<= y5 3e-80)
                         t_4
                         (if (<= y5 3.8e-80)
                           t_1
                           (if (<= y5 3.2e-42)
                             t_5
                             (if (<= y5 6.5e+51)
                               (* y0 (* y2 (- (* x c) (* k y5))))
                               (if (<= y5 7.2e+51)
                                 (* b (* y4 (* t j)))
                                 (if (<= y5 1.12e+135)
                                   (*
                                    (+
                                     (- (* y3 y4) (* a (* y3 (/ y5 c))))
                                     (- (* i (* k (/ y5 c))) (* x i)))
                                    (* y c))
                                   (*
                                    y2
                                    (*
                                     a
                                     (- (* t y5) (* x y1))))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y1 * (y2 * y4));
	double t_2 = j * (x * ((i * y1) - (b * y0)));
	double t_3 = (z * t) - (x * y);
	double t_4 = c * (((y0 * ((x * y2) - (z * y3))) + (i * t_3)) + (y4 * ((y * y3) - (t * y2))));
	double t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (y5 <= -2.85e+280) {
		tmp = t_4;
	} else if (y5 <= -2.8e+192) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else if (y5 <= -5.5e+159) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y5 <= -3.9e-62) {
		tmp = t_5;
	} else if (y5 <= -7e-150) {
		tmp = i * ((c * t_3) + (y1 * ((x * j) - (z * k))));
	} else if (y5 <= -7e-188) {
		tmp = t_2;
	} else if (y5 <= 1.15e-304) {
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))));
	} else if (y5 <= 1.3e-304) {
		tmp = t_1;
	} else if (y5 <= 4.2e-244) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y5 <= 2.45e-116) {
		tmp = t_2;
	} else if (y5 <= 3e-80) {
		tmp = t_4;
	} else if (y5 <= 3.8e-80) {
		tmp = t_1;
	} else if (y5 <= 3.2e-42) {
		tmp = t_5;
	} else if (y5 <= 6.5e+51) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= 7.2e+51) {
		tmp = b * (y4 * (t * j));
	} else if (y5 <= 1.12e+135) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = k * (y1 * (y2 * y4))
    t_2 = j * (x * ((i * y1) - (b * y0)))
    t_3 = (z * t) - (x * y)
    t_4 = c * (((y0 * ((x * y2) - (z * y3))) + (i * t_3)) + (y4 * ((y * y3) - (t * y2))))
    t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    if (y5 <= (-2.85d+280)) then
        tmp = t_4
    else if (y5 <= (-2.8d+192)) then
        tmp = (j * y0) * ((y3 * y5) - (x * b))
    else if (y5 <= (-5.5d+159)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (y5 <= (-3.9d-62)) then
        tmp = t_5
    else if (y5 <= (-7d-150)) then
        tmp = i * ((c * t_3) + (y1 * ((x * j) - (z * k))))
    else if (y5 <= (-7d-188)) then
        tmp = t_2
    else if (y5 <= 1.15d-304) then
        tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))))
    else if (y5 <= 1.3d-304) then
        tmp = t_1
    else if (y5 <= 4.2d-244) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else if (y5 <= 2.45d-116) then
        tmp = t_2
    else if (y5 <= 3d-80) then
        tmp = t_4
    else if (y5 <= 3.8d-80) then
        tmp = t_1
    else if (y5 <= 3.2d-42) then
        tmp = t_5
    else if (y5 <= 6.5d+51) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y5 <= 7.2d+51) then
        tmp = b * (y4 * (t * j))
    else if (y5 <= 1.12d+135) then
        tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
    else
        tmp = y2 * (a * ((t * y5) - (x * y1)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y1 * (y2 * y4));
	double t_2 = j * (x * ((i * y1) - (b * y0)));
	double t_3 = (z * t) - (x * y);
	double t_4 = c * (((y0 * ((x * y2) - (z * y3))) + (i * t_3)) + (y4 * ((y * y3) - (t * y2))));
	double t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (y5 <= -2.85e+280) {
		tmp = t_4;
	} else if (y5 <= -2.8e+192) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else if (y5 <= -5.5e+159) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y5 <= -3.9e-62) {
		tmp = t_5;
	} else if (y5 <= -7e-150) {
		tmp = i * ((c * t_3) + (y1 * ((x * j) - (z * k))));
	} else if (y5 <= -7e-188) {
		tmp = t_2;
	} else if (y5 <= 1.15e-304) {
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))));
	} else if (y5 <= 1.3e-304) {
		tmp = t_1;
	} else if (y5 <= 4.2e-244) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y5 <= 2.45e-116) {
		tmp = t_2;
	} else if (y5 <= 3e-80) {
		tmp = t_4;
	} else if (y5 <= 3.8e-80) {
		tmp = t_1;
	} else if (y5 <= 3.2e-42) {
		tmp = t_5;
	} else if (y5 <= 6.5e+51) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= 7.2e+51) {
		tmp = b * (y4 * (t * j));
	} else if (y5 <= 1.12e+135) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (y1 * (y2 * y4))
	t_2 = j * (x * ((i * y1) - (b * y0)))
	t_3 = (z * t) - (x * y)
	t_4 = c * (((y0 * ((x * y2) - (z * y3))) + (i * t_3)) + (y4 * ((y * y3) - (t * y2))))
	t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	tmp = 0
	if y5 <= -2.85e+280:
		tmp = t_4
	elif y5 <= -2.8e+192:
		tmp = (j * y0) * ((y3 * y5) - (x * b))
	elif y5 <= -5.5e+159:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif y5 <= -3.9e-62:
		tmp = t_5
	elif y5 <= -7e-150:
		tmp = i * ((c * t_3) + (y1 * ((x * j) - (z * k))))
	elif y5 <= -7e-188:
		tmp = t_2
	elif y5 <= 1.15e-304:
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))))
	elif y5 <= 1.3e-304:
		tmp = t_1
	elif y5 <= 4.2e-244:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	elif y5 <= 2.45e-116:
		tmp = t_2
	elif y5 <= 3e-80:
		tmp = t_4
	elif y5 <= 3.8e-80:
		tmp = t_1
	elif y5 <= 3.2e-42:
		tmp = t_5
	elif y5 <= 6.5e+51:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y5 <= 7.2e+51:
		tmp = b * (y4 * (t * j))
	elif y5 <= 1.12e+135:
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
	else:
		tmp = y2 * (a * ((t * y5) - (x * y1)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(k * Float64(y1 * Float64(y2 * y4)))
	t_2 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_3 = Float64(Float64(z * t) - Float64(x * y))
	t_4 = Float64(c * Float64(Float64(Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(i * t_3)) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_5 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (y5 <= -2.85e+280)
		tmp = t_4;
	elseif (y5 <= -2.8e+192)
		tmp = Float64(Float64(j * y0) * Float64(Float64(y3 * y5) - Float64(x * b)));
	elseif (y5 <= -5.5e+159)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (y5 <= -3.9e-62)
		tmp = t_5;
	elseif (y5 <= -7e-150)
		tmp = Float64(i * Float64(Float64(c * t_3) + Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (y5 <= -7e-188)
		tmp = t_2;
	elseif (y5 <= 1.15e-304)
		tmp = Float64(y * Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + Float64(k * Float64(Float64(i * y5) - Float64(b * y4)))));
	elseif (y5 <= 1.3e-304)
		tmp = t_1;
	elseif (y5 <= 4.2e-244)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (y5 <= 2.45e-116)
		tmp = t_2;
	elseif (y5 <= 3e-80)
		tmp = t_4;
	elseif (y5 <= 3.8e-80)
		tmp = t_1;
	elseif (y5 <= 3.2e-42)
		tmp = t_5;
	elseif (y5 <= 6.5e+51)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y5 <= 7.2e+51)
		tmp = Float64(b * Float64(y4 * Float64(t * j)));
	elseif (y5 <= 1.12e+135)
		tmp = Float64(Float64(Float64(Float64(y3 * y4) - Float64(a * Float64(y3 * Float64(y5 / c)))) + Float64(Float64(i * Float64(k * Float64(y5 / c))) - Float64(x * i))) * Float64(y * c));
	else
		tmp = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = k * (y1 * (y2 * y4));
	t_2 = j * (x * ((i * y1) - (b * y0)));
	t_3 = (z * t) - (x * y);
	t_4 = c * (((y0 * ((x * y2) - (z * y3))) + (i * t_3)) + (y4 * ((y * y3) - (t * y2))));
	t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	tmp = 0.0;
	if (y5 <= -2.85e+280)
		tmp = t_4;
	elseif (y5 <= -2.8e+192)
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	elseif (y5 <= -5.5e+159)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (y5 <= -3.9e-62)
		tmp = t_5;
	elseif (y5 <= -7e-150)
		tmp = i * ((c * t_3) + (y1 * ((x * j) - (z * k))));
	elseif (y5 <= -7e-188)
		tmp = t_2;
	elseif (y5 <= 1.15e-304)
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))));
	elseif (y5 <= 1.3e-304)
		tmp = t_1;
	elseif (y5 <= 4.2e-244)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	elseif (y5 <= 2.45e-116)
		tmp = t_2;
	elseif (y5 <= 3e-80)
		tmp = t_4;
	elseif (y5 <= 3.8e-80)
		tmp = t_1;
	elseif (y5 <= 3.2e-42)
		tmp = t_5;
	elseif (y5 <= 6.5e+51)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y5 <= 7.2e+51)
		tmp = b * (y4 * (t * j));
	elseif (y5 <= 1.12e+135)
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	else
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(c * N[(N[(N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = 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 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -2.85e+280], t$95$4, If[LessEqual[y5, -2.8e+192], N[(N[(j * y0), $MachinePrecision] * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -5.5e+159], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -3.9e-62], t$95$5, If[LessEqual[y5, -7e-150], N[(i * N[(N[(c * t$95$3), $MachinePrecision] + N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -7e-188], t$95$2, If[LessEqual[y5, 1.15e-304], N[(y * N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.3e-304], t$95$1, If[LessEqual[y5, 4.2e-244], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.45e-116], t$95$2, If[LessEqual[y5, 3e-80], t$95$4, If[LessEqual[y5, 3.8e-80], t$95$1, If[LessEqual[y5, 3.2e-42], t$95$5, If[LessEqual[y5, 6.5e+51], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 7.2e+51], N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.12e+135], N[(N[(N[(N[(y3 * y4), $MachinePrecision] - N[(a * N[(y3 * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(k * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if y5 < -2.8499999999999999e280 or 2.44999999999999989e-116 < y5 < 3.00000000000000007e-80

   1. Initial program 33.2%

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

   3. Taylor expanded in c around inf 83.8%

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

      1. +-commutative 83.8%

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

      2. mul-1-neg 83.8%

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

      3. unsub-neg 83.8%

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

      4. *-commutative 83.8%

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

      5. *-commutative 83.8%

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

      6. *-commutative 83.8%

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

      7. *-commutative 83.8%

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

   5. Simplified 83.8%

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

   if -2.8499999999999999e280 < y5 < -2.79999999999999976e192

   1. Initial program 14.9%

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

   3. Taylor expanded in y0 around inf 43.4%

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

      1. +-commutative 43.4%

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

      2. mul-1-neg 43.4%

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

      3. unsub-neg 43.4%

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

      4. *-commutative 43.4%

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

      5. *-commutative 43.4%

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

      6. *-commutative 43.4%

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

      7. *-commutative 43.4%

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

   5. Simplified 43.4%

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

   6. Taylor expanded in j around -inf 58.4%

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

      1. associate-*r* 58.9%

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

      2. +-commutative 58.9%

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

      3. mul-1-neg 58.9%

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

      4. unsub-neg 58.9%

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

      5. *-commutative 58.9%

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

   8. Simplified 58.9%

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

   if -2.79999999999999976e192 < y5 < -5.4999999999999998e159

   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 y2 around inf 71.4%

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

   4. Taylor expanded in t around inf 86.5%

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

   if -5.4999999999999998e159 < y5 < -3.9000000000000003e-62 or 3.79999999999999967e-80 < y5 < 3.20000000000000025e-42

   1. Initial program 37.2%

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

   3. Taylor expanded in b around inf 54.4%

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

   if -3.9000000000000003e-62 < y5 < -6.9999999999999996e-150

   1. Initial program 46.7%

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

   3. Taylor expanded in i around -inf 60.9%

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

   4. Taylor expanded in y5 around 0 60.9%

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

   if -6.9999999999999996e-150 < y5 < -7.000000000000001e-188 or 4.20000000000000003e-244 < y5 < 2.44999999999999989e-116

   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 32.9%

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

   4. Taylor expanded in j around inf 46.0%

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

   if -7.000000000000001e-188 < y5 < 1.15e-304

   1. Initial program 15.8%

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

   3. Taylor expanded in y around inf 58.5%

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

      1. +-commutative 58.5%

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

      2. mul-1-neg 58.5%

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

      3. unsub-neg 58.5%

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

      4. *-commutative 58.5%

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

      5. *-commutative 58.5%

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

      6. mul-1-neg 58.5%

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

   5. Simplified 58.5%

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

   6. Taylor expanded in y3 around 0 58.5%

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

   if 1.15e-304 < y5 < 1.29999999999999998e-304 or 3.00000000000000007e-80 < y5 < 3.79999999999999967e-80

   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 k around inf 50.0%

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

      1. +-commutative 50.0%

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

      2. mul-1-neg 50.0%

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

      3. unsub-neg 50.0%

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

      4. *-commutative 50.0%

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

      5. associate-*r* 50.0%

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

      6. neg-mul-1 50.0%

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

   5. Simplified 50.0%

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

   6. Taylor expanded in y1 around inf 100.0%

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

   7. Taylor expanded in y2 around inf 100.0%

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

   if 1.29999999999999998e-304 < y5 < 4.20000000000000003e-244

   1. Initial program 44.4%

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

   3. Taylor expanded in y3 around -inf 34.7%

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

   4. Taylor expanded in y1 around inf 51.4%

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

      1. +-commutative 51.4%

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

      2. mul-1-neg 51.4%

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

      3. unsub-neg 51.4%

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

   6. Simplified 51.4%

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

   if 3.20000000000000025e-42 < y5 < 6.5e51

   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 y2 around inf 63.6%

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

   4. Taylor expanded in y0 around inf 75.3%

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

      1. +-commutative 75.3%

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

      2. mul-1-neg 75.3%

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

      3. unsub-neg 75.3%

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

   6. Simplified 75.3%

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

   if 6.5e51 < y5 < 7.20000000000000022e51

   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 b around inf 0.0%

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

   4. Taylor expanded in y4 around inf 100.0%

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

   5. Taylor expanded in j around inf 100.0%

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

   if 7.20000000000000022e51 < y5 < 1.1199999999999999e135

   1. Initial program 18.7%

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

   3. Taylor expanded in y around inf 44.4%

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

      1. +-commutative 44.4%

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

      2. mul-1-neg 44.4%

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

      3. unsub-neg 44.4%

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

      4. *-commutative 44.4%

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

      5. *-commutative 44.4%

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

      6. mul-1-neg 44.4%

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

   5. Simplified 44.4%

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

   6. Taylor expanded in c around inf 50.1%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{y \cdot \left(\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}{c}\right)} \]
   7. Step-by-step derivation

      1. associate-/l* 50.1%

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

      2. distribute-lft-out 50.1%

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

      3. +-commutative 50.1%

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

      4. mul-1-neg 50.1%

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

      5. unsub-neg 50.1%

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

      6. *-commutative 50.1%

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

   8. Simplified 50.1%

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

   9. Taylor expanded in b around 0 56.9%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 44.8%

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

       2. *-commutative 44.8%

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

       3. +-commutative 44.8%

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

       4. mul-1-neg 44.8%

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

       5. unsub-neg 44.8%

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

       6. associate-/l* 50.6%

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

       7. associate-/l* 56.8%

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

       8. +-commutative 56.8%

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

       9. mul-1-neg 56.8%

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

       10. unsub-neg 56.8%

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

       11. *-commutative 56.8%

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

       12. associate-/l* 56.8%

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

       13. associate-/l* 63.1%

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

   11. Simplified 63.1%

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

   if 1.1199999999999999e135 < y5

   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 y2 around inf 46.2%

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

   4. Taylor expanded in a around -inf 57.7%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 57.7%

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

   6. Simplified 57.7%

      \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 59.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.85 \cdot 10^{+280}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -2.8 \cdot 10^{+192}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{+159}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -3.9 \cdot 10^{-62}:\\ \;\;\;\;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}\;y5 \leq -7 \cdot 10^{-150}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -7 \cdot 10^{-188}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.15 \cdot 10^{-304}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 1.3 \cdot 10^{-304}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 4.2 \cdot 10^{-244}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 2.45 \cdot 10^{-116}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 3 \cdot 10^{-80}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 3.8 \cdot 10^{-80}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 3.2 \cdot 10^{-42}:\\ \;\;\;\;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}\;y5 \leq 6.5 \cdot 10^{+51}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 7.2 \cdot 10^{+51}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 1.12 \cdot 10^{+135}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 30.9% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_2 := y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{if}\;y2 \leq -1.85 \cdot 10^{+226}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -6.5 \cdot 10^{+144}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -5 \cdot 10^{+96}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.05 \cdot 10^{+15}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq -0.00265:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -9.2 \cdot 10^{-15}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -1.35 \cdot 10^{-78}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -6.6 \cdot 10^{-99}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;y2 \leq -3.8 \cdot 10^{-139}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -1.85 \cdot 10^{-168}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -3.15 \cdot 10^{-296}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.25 \cdot 10^{-286}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 1.35 \cdot 10^{-139}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.76 \cdot 10^{-134}:\\ \;\;\;\;\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{+120}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 2.2 \cdot 10^{+178}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 2.4 \cdot 10^{+212}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{+240}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - 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
 (let* ((t_1 (* t (* y2 (- (* a y5) (* c y4)))))
        (t_2 (* y1 (* y2 (- (* k y4) (* x a))))))
   (if (<= y2 -1.85e+226)
     t_1
     (if (<= y2 -6.5e+144)
       (* c (* y0 (- (* x y2) (* z y3))))
       (if (<= y2 -5e+96)
         (* y0 (* y2 (- (* x c) (* k y5))))
         (if (<= y2 -1.05e+15)
           t_2
           (if (<= y2 -0.00265)
             (* k (* y (- (* i y5) (* b y4))))
             (if (<= y2 -9.2e-15)
               (* b (* y0 (- (* z k) (* x j))))
               (if (<= y2 -1.35e-78)
                 (* y2 (* a (- (* t y5) (* x y1))))
                 (if (<= y2 -6.6e-99)
                   (* (* y c) (- (* y3 y4) (* x i)))
                   (if (<= y2 -3.8e-139)
                     (* b (* t (- (* j y4) (* z a))))
                     (if (<= y2 -1.85e-168)
                       (* y (* y3 (- (* c y4) (* a y5))))
                       (if (<= y2 -3.15e-296)
                         (* b (* x (- (* y a) (* j y0))))
                         (if (<= y2 1.25e-286)
                           (* b (* y4 (- (* t j) (* y k))))
                           (if (<= y2 1.35e-139)
                             (* (* j y0) (- (* y3 y5) (* x b)))
                             (if (<= y2 1.76e-134)
                               (* (* k y0) (- (* z b) (* y2 y5)))
                               (if (<= y2 1.2e+120)
                                 (* k (* z (- (* b y0) (* i y1))))
                                 (if (<= y2 2.2e+178)
                                   (* k (* y5 (- (* y i) (* y0 y2))))
                                   (if (<= y2 2.4e+212)
                                     t_2
                                     (if (<= y2 4e+240)
                                       t_1
                                       (*
                                        y2
                                        (*
                                         c
                                         (-
                                          (* x y0)
                                          (* 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 t_1 = t * (y2 * ((a * y5) - (c * y4)));
	double t_2 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y2 <= -1.85e+226) {
		tmp = t_1;
	} else if (y2 <= -6.5e+144) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -5e+96) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y2 <= -1.05e+15) {
		tmp = t_2;
	} else if (y2 <= -0.00265) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y2 <= -9.2e-15) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= -1.35e-78) {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	} else if (y2 <= -6.6e-99) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (y2 <= -3.8e-139) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (y2 <= -1.85e-168) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y2 <= -3.15e-296) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y2 <= 1.25e-286) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y2 <= 1.35e-139) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else if (y2 <= 1.76e-134) {
		tmp = (k * y0) * ((z * b) - (y2 * y5));
	} else if (y2 <= 1.2e+120) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y2 <= 2.2e+178) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (y2 <= 2.4e+212) {
		tmp = t_2;
	} else if (y2 <= 4e+240) {
		tmp = t_1;
	} else {
		tmp = y2 * (c * ((x * y0) - (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) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = t * (y2 * ((a * y5) - (c * y4)))
    t_2 = y1 * (y2 * ((k * y4) - (x * a)))
    if (y2 <= (-1.85d+226)) then
        tmp = t_1
    else if (y2 <= (-6.5d+144)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= (-5d+96)) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y2 <= (-1.05d+15)) then
        tmp = t_2
    else if (y2 <= (-0.00265d0)) then
        tmp = k * (y * ((i * y5) - (b * y4)))
    else if (y2 <= (-9.2d-15)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y2 <= (-1.35d-78)) then
        tmp = y2 * (a * ((t * y5) - (x * y1)))
    else if (y2 <= (-6.6d-99)) then
        tmp = (y * c) * ((y3 * y4) - (x * i))
    else if (y2 <= (-3.8d-139)) then
        tmp = b * (t * ((j * y4) - (z * a)))
    else if (y2 <= (-1.85d-168)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (y2 <= (-3.15d-296)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y2 <= 1.25d-286) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y2 <= 1.35d-139) then
        tmp = (j * y0) * ((y3 * y5) - (x * b))
    else if (y2 <= 1.76d-134) then
        tmp = (k * y0) * ((z * b) - (y2 * y5))
    else if (y2 <= 1.2d+120) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y2 <= 2.2d+178) then
        tmp = k * (y5 * ((y * i) - (y0 * y2)))
    else if (y2 <= 2.4d+212) then
        tmp = t_2
    else if (y2 <= 4d+240) then
        tmp = t_1
    else
        tmp = y2 * (c * ((x * y0) - (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 t_1 = t * (y2 * ((a * y5) - (c * y4)));
	double t_2 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y2 <= -1.85e+226) {
		tmp = t_1;
	} else if (y2 <= -6.5e+144) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -5e+96) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y2 <= -1.05e+15) {
		tmp = t_2;
	} else if (y2 <= -0.00265) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (y2 <= -9.2e-15) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= -1.35e-78) {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	} else if (y2 <= -6.6e-99) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (y2 <= -3.8e-139) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (y2 <= -1.85e-168) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y2 <= -3.15e-296) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y2 <= 1.25e-286) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y2 <= 1.35e-139) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else if (y2 <= 1.76e-134) {
		tmp = (k * y0) * ((z * b) - (y2 * y5));
	} else if (y2 <= 1.2e+120) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y2 <= 2.2e+178) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (y2 <= 2.4e+212) {
		tmp = t_2;
	} else if (y2 <= 4e+240) {
		tmp = t_1;
	} else {
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (y2 * ((a * y5) - (c * y4)))
	t_2 = y1 * (y2 * ((k * y4) - (x * a)))
	tmp = 0
	if y2 <= -1.85e+226:
		tmp = t_1
	elif y2 <= -6.5e+144:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= -5e+96:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y2 <= -1.05e+15:
		tmp = t_2
	elif y2 <= -0.00265:
		tmp = k * (y * ((i * y5) - (b * y4)))
	elif y2 <= -9.2e-15:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y2 <= -1.35e-78:
		tmp = y2 * (a * ((t * y5) - (x * y1)))
	elif y2 <= -6.6e-99:
		tmp = (y * c) * ((y3 * y4) - (x * i))
	elif y2 <= -3.8e-139:
		tmp = b * (t * ((j * y4) - (z * a)))
	elif y2 <= -1.85e-168:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif y2 <= -3.15e-296:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y2 <= 1.25e-286:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y2 <= 1.35e-139:
		tmp = (j * y0) * ((y3 * y5) - (x * b))
	elif y2 <= 1.76e-134:
		tmp = (k * y0) * ((z * b) - (y2 * y5))
	elif y2 <= 1.2e+120:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y2 <= 2.2e+178:
		tmp = k * (y5 * ((y * i) - (y0 * y2)))
	elif y2 <= 2.4e+212:
		tmp = t_2
	elif y2 <= 4e+240:
		tmp = t_1
	else:
		tmp = y2 * (c * ((x * y0) - (t * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))))
	t_2 = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))))
	tmp = 0.0
	if (y2 <= -1.85e+226)
		tmp = t_1;
	elseif (y2 <= -6.5e+144)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= -5e+96)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y2 <= -1.05e+15)
		tmp = t_2;
	elseif (y2 <= -0.00265)
		tmp = Float64(k * Float64(y * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (y2 <= -9.2e-15)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y2 <= -1.35e-78)
		tmp = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))));
	elseif (y2 <= -6.6e-99)
		tmp = Float64(Float64(y * c) * Float64(Float64(y3 * y4) - Float64(x * i)));
	elseif (y2 <= -3.8e-139)
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	elseif (y2 <= -1.85e-168)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y2 <= -3.15e-296)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y2 <= 1.25e-286)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y2 <= 1.35e-139)
		tmp = Float64(Float64(j * y0) * Float64(Float64(y3 * y5) - Float64(x * b)));
	elseif (y2 <= 1.76e-134)
		tmp = Float64(Float64(k * y0) * Float64(Float64(z * b) - Float64(y2 * y5)));
	elseif (y2 <= 1.2e+120)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y2 <= 2.2e+178)
		tmp = Float64(k * Float64(y5 * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (y2 <= 2.4e+212)
		tmp = t_2;
	elseif (y2 <= 4e+240)
		tmp = t_1;
	else
		tmp = Float64(y2 * Float64(c * Float64(Float64(x * y0) - 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)
	t_1 = t * (y2 * ((a * y5) - (c * y4)));
	t_2 = y1 * (y2 * ((k * y4) - (x * a)));
	tmp = 0.0;
	if (y2 <= -1.85e+226)
		tmp = t_1;
	elseif (y2 <= -6.5e+144)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= -5e+96)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y2 <= -1.05e+15)
		tmp = t_2;
	elseif (y2 <= -0.00265)
		tmp = k * (y * ((i * y5) - (b * y4)));
	elseif (y2 <= -9.2e-15)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y2 <= -1.35e-78)
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	elseif (y2 <= -6.6e-99)
		tmp = (y * c) * ((y3 * y4) - (x * i));
	elseif (y2 <= -3.8e-139)
		tmp = b * (t * ((j * y4) - (z * a)));
	elseif (y2 <= -1.85e-168)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (y2 <= -3.15e-296)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y2 <= 1.25e-286)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y2 <= 1.35e-139)
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	elseif (y2 <= 1.76e-134)
		tmp = (k * y0) * ((z * b) - (y2 * y5));
	elseif (y2 <= 1.2e+120)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y2 <= 2.2e+178)
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	elseif (y2 <= 2.4e+212)
		tmp = t_2;
	elseif (y2 <= 4e+240)
		tmp = t_1;
	else
		tmp = y2 * (c * ((x * y0) - (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_] := Block[{t$95$1 = N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.85e+226], t$95$1, If[LessEqual[y2, -6.5e+144], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5e+96], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.05e+15], t$95$2, If[LessEqual[y2, -0.00265], N[(k * N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -9.2e-15], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.35e-78], N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6.6e-99], N[(N[(y * c), $MachinePrecision] * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.8e-139], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.85e-168], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.15e-296], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.25e-286], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.35e-139], N[(N[(j * y0), $MachinePrecision] * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.76e-134], N[(N[(k * y0), $MachinePrecision] * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.2e+120], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.2e+178], N[(k * N[(y5 * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.4e+212], t$95$2, If[LessEqual[y2, 4e+240], t$95$1, N[(y2 * N[(c * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 17 regimes

2. if y2 < -1.84999999999999991e226 or 2.4e212 < y2 < 4.00000000000000006e240

   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 y2 around inf 54.2%

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

   4. Taylor expanded in t around inf 69.5%

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

   if -1.84999999999999991e226 < y2 < -6.50000000000000007e144

   1. Initial program 6.7%

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

   3. Taylor expanded in y0 around inf 50.0%

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

      1. +-commutative 50.0%

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

      2. mul-1-neg 50.0%

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

      3. unsub-neg 50.0%

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

      4. *-commutative 50.0%

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

      5. *-commutative 50.0%

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

      6. *-commutative 50.0%

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

      7. *-commutative 50.0%

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

   5. Simplified 50.0%

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

   6. Taylor expanded in c around inf 69.2%

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

      1. *-commutative 69.2%

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

   8. Simplified 69.2%

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

   if -6.50000000000000007e144 < y2 < -5.0000000000000004e96

   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 y2 around inf 40.0%

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

   4. Taylor expanded in y0 around inf 80.9%

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

      1. +-commutative 80.9%

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

      2. mul-1-neg 80.9%

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

      3. unsub-neg 80.9%

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

   6. Simplified 80.9%

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

   if -5.0000000000000004e96 < y2 < -1.05e15 or 2.19999999999999997e178 < y2 < 2.4e212

   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 y2 around inf 59.6%

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

   4. Taylor expanded in y1 around inf 56.9%

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

      1. +-commutative 56.9%

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

      2. mul-1-neg 56.9%

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

      3. unsub-neg 56.9%

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

   6. Simplified 56.9%

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

   if -1.05e15 < y2 < -0.00265000000000000001

   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 k around inf 50.5%

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

      1. +-commutative 50.5%

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

      2. mul-1-neg 50.5%

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

      3. unsub-neg 50.5%

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

      4. *-commutative 50.5%

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

      5. associate-*r* 50.5%

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

      6. neg-mul-1 50.5%

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

   5. Simplified 50.5%

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

   6. Taylor expanded in y around inf 66.9%

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

   if -0.00265000000000000001 < y2 < -9.19999999999999961e-15

   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 b around inf 60.0%

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

   4. Taylor expanded in y0 around inf 61.7%

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

   if -9.19999999999999961e-15 < y2 < -1.34999999999999997e-78

   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 y2 around inf 55.1%

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

   4. Taylor expanded in a around -inf 46.4%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 46.4%

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

   6. Simplified 46.4%

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

   if -1.34999999999999997e-78 < y2 < -6.59999999999999973e-99

   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 y around inf 80.0%

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

      1. +-commutative 80.0%

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

      2. mul-1-neg 80.0%

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

      3. unsub-neg 80.0%

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

      4. *-commutative 80.0%

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

      5. *-commutative 80.0%

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

      6. mul-1-neg 80.0%

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

   5. Simplified 80.0%

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

   6. Taylor expanded in c around inf 100.0%

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

      1. associate-*r* 100.0%

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

      2. +-commutative 100.0%

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

      3. mul-1-neg 100.0%

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

      4. unsub-neg 100.0%

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

      5. *-commutative 100.0%

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

   8. Simplified 100.0%

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

   if -6.59999999999999973e-99 < y2 < -3.80000000000000008e-139

   1. Initial program 28.6%

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

   3. Taylor expanded in b around inf 42.9%

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

   4. Taylor expanded in t around inf 71.7%

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

      1. +-commutative 71.7%

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

      2. mul-1-neg 71.7%

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

      3. unsub-neg 71.7%

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

   6. Simplified 71.7%

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

   if -3.80000000000000008e-139 < y2 < -1.84999999999999999e-168

   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 y around inf 0.0%

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

      1. +-commutative 0.0%

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

      2. mul-1-neg 0.0%

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

      3. unsub-neg 0.0%

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

      4. *-commutative 0.0%

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

      5. *-commutative 0.0%

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

      6. mul-1-neg 0.0%

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

   5. Simplified 0.0%

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

   6. Taylor expanded in y3 around inf 100.0%

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

   if -1.84999999999999999e-168 < y2 < -3.1499999999999999e-296

   1. Initial program 45.0%

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

   3. Taylor expanded in b around inf 42.4%

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

   4. Taylor expanded in x around inf 46.5%

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

   if -3.1499999999999999e-296 < y2 < 1.25000000000000009e-286

   1. Initial program 49.8%

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

   3. Taylor expanded in b around inf 38.7%

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

   4. Taylor expanded in y4 around inf 51.0%

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

   if 1.25000000000000009e-286 < y2 < 1.3499999999999999e-139

   1. Initial program 41.8%

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

   3. Taylor expanded in y0 around inf 59.0%

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

      1. +-commutative 59.0%

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

      2. mul-1-neg 59.0%

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

      3. unsub-neg 59.0%

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

      4. *-commutative 59.0%

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

      5. *-commutative 59.0%

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

      6. *-commutative 59.0%

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

      7. *-commutative 59.0%

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

   5. Simplified 59.0%

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

   6. Taylor expanded in j around -inf 50.9%

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

      1. associate-*r* 50.9%

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

      2. +-commutative 50.9%

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

      3. mul-1-neg 50.9%

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

      4. unsub-neg 50.9%

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

      5. *-commutative 50.9%

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

   8. Simplified 50.9%

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

   if 1.3499999999999999e-139 < y2 < 1.76e-134

   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 y0 around inf 67.3%

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

      1. +-commutative 67.3%

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

      2. mul-1-neg 67.3%

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

      3. unsub-neg 67.3%

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

      4. *-commutative 67.3%

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

      5. *-commutative 67.3%

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

      6. *-commutative 67.3%

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

      7. *-commutative 67.3%

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

   5. Simplified 67.3%

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

   6. Taylor expanded in k around -inf 67.3%

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

      1. associate-*r* 67.3%

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

      2. +-commutative 67.3%

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

      3. mul-1-neg 67.3%

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

      4. unsub-neg 67.3%

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

      5. *-commutative 67.3%

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

   8. Simplified 67.3%

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

   if 1.76e-134 < y2 < 1.2e120

   1. Initial program 30.3%

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

   3. Taylor expanded in k around inf 44.0%

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

      1. +-commutative 44.0%

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

      2. mul-1-neg 44.0%

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

      3. unsub-neg 44.0%

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

      4. *-commutative 44.0%

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

      5. associate-*r* 44.0%

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

      6. neg-mul-1 44.0%

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

   5. Simplified 44.0%

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

   6. Taylor expanded in z around inf 46.3%

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

   if 1.2e120 < y2 < 2.19999999999999997e178

   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 k around inf 38.5%

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

      1. +-commutative 38.5%

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

      2. mul-1-neg 38.5%

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

      3. unsub-neg 38.5%

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

      4. *-commutative 38.5%

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

      5. associate-*r* 38.5%

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

      6. neg-mul-1 38.5%

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

   5. Simplified 38.5%

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

   6. Taylor expanded in y5 around -inf 48.0%

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

      1. mul-1-neg 48.0%

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

   8. Simplified 48.0%

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

   if 4.00000000000000006e240 < y2

   1. Initial program 15.3%

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

   3. Taylor expanded in y2 around inf 77.4%

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

   4. Taylor expanded in c around inf 63.8%

      \[\leadsto y2 \cdot \color{blue}{\left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
3. Recombined 17 regimes into one program.

4. Final simplification 56.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.85 \cdot 10^{+226}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -6.5 \cdot 10^{+144}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -5 \cdot 10^{+96}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.05 \cdot 10^{+15}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -0.00265:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -9.2 \cdot 10^{-15}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -1.35 \cdot 10^{-78}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -6.6 \cdot 10^{-99}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;y2 \leq -3.8 \cdot 10^{-139}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -1.85 \cdot 10^{-168}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -3.15 \cdot 10^{-296}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.25 \cdot 10^{-286}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 1.35 \cdot 10^{-139}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.76 \cdot 10^{-134}:\\ \;\;\;\;\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)\\ \mathbf{elif}\;y2 \leq 1.2 \cdot 10^{+120}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 2.2 \cdot 10^{+178}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 2.4 \cdot 10^{+212}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{+240}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 8: 41.0% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot j - y \cdot k\\ t_2 := z \cdot t - x \cdot y\\ t_3 := x \cdot y2 - z \cdot y3\\ t_4 := i \cdot y5 - b \cdot y4\\ t_5 := c \cdot y0 - a \cdot y1\\ t_6 := x \cdot \left(a \cdot b - c \cdot i\right)\\ t_7 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_8 := y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\\ t_9 := x \cdot j - z \cdot k\\ t_10 := a \cdot y5 - c \cdot y4\\ \mathbf{if}\;b \leq -4 \cdot 10^{+230}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -1.1 \cdot 10^{+140}:\\ \;\;\;\;k \cdot \left(\frac{y \cdot \left(t\_6 + t\_8\right)}{k} + y \cdot t\_4\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{-44}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{-83}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot t\_5\right)\right)\\ \mathbf{elif}\;b \leq -1.05 \cdot 10^{-112}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;b \leq -3.2 \cdot 10^{-243}:\\ \;\;\;\;y1 \cdot \left(i \cdot t\_9 - \left(a \cdot t\_3 + y4 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;b \leq -1.35 \cdot 10^{-263}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot t\_3 + i \cdot t\_2\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -9.6 \cdot 10^{-273}:\\ \;\;\;\;t \cdot \left(y2 \cdot t\_10\right)\\ \mathbf{elif}\;b \leq 3.9 \cdot 10^{-200}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_5\right) + t \cdot t\_10\right)\\ \mathbf{elif}\;b \leq 1.55 \cdot 10^{-95}:\\ \;\;\;\;y \cdot \left(t\_8 + \left(t\_6 + k \cdot t\_4\right)\right)\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-91}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 3.5 \cdot 10^{-49}:\\ \;\;\;\;i \cdot \left(y1 \cdot t\_9 + \left(c \cdot t\_2 - y5 \cdot t\_1\right)\right)\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{-28}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 2 \cdot 10^{+52}:\\ \;\;\;\;t\_7\\ \mathbf{else}:\\ \;\;\;\;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)\\ \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 t) (* x y)))
        (t_3 (- (* x y2) (* z y3)))
        (t_4 (- (* i y5) (* b y4)))
        (t_5 (- (* c y0) (* a y1)))
        (t_6 (* x (- (* a b) (* c i))))
        (t_7
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_8 (* y3 (- (* c y4) (* a y5))))
        (t_9 (- (* x j) (* z k)))
        (t_10 (- (* a y5) (* c y4))))
   (if (<= b -4e+230)
     (* x (* y0 (- (* c y2) (* b j))))
     (if (<= b -1.1e+140)
       (* k (+ (/ (* y (+ t_6 t_8)) k) (* y t_4)))
       (if (<= b -7.5e-44)
         t_7
         (if (<= b -9.5e-83)
           (*
            z
            (+
             (* k (- (* b y0) (* i y1)))
             (- (* t (- (* c i) (* a b))) (* y3 t_5))))
           (if (<= b -1.05e-112)
             (*
              (+
               (- (* y3 y4) (* a (* y3 (/ y5 c))))
               (- (* i (* k (/ y5 c))) (* x i)))
              (* y c))
             (if (<= b -3.2e-243)
               (* y1 (- (* i t_9) (+ (* a t_3) (* y4 (- (* j y3) (* k y2))))))
               (if (<= b -1.35e-263)
                 (*
                  c
                  (+ (+ (* y0 t_3) (* i t_2)) (* y4 (- (* y y3) (* t y2)))))
                 (if (<= b -9.6e-273)
                   (* t (* y2 t_10))
                   (if (<= b 3.9e-200)
                     (*
                      y2
                      (+
                       (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_5))
                       (* t t_10)))
                     (if (<= b 1.55e-95)
                       (* y (+ t_8 (+ t_6 (* k t_4))))
                       (if (<= b 1.9e-91)
                         (* y0 (* y2 (- (* x c) (* k y5))))
                         (if (<= b 3.5e-49)
                           (* i (+ (* y1 t_9) (- (* c t_2) (* y5 t_1))))
                           (if (<= b 7.5e-28)
                             (* k (* y1 (- (* y2 y4) (* z i))))
                             (if (<= b 2e+52)
                               t_7
                               (*
                                b
                                (+
                                 (+ (* a (- (* x y) (* z t))) (* y4 t_1))
                                 (* y0 (- (* z k) (* x 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 = (t * j) - (y * k);
	double t_2 = (z * t) - (x * y);
	double t_3 = (x * y2) - (z * y3);
	double t_4 = (i * y5) - (b * y4);
	double t_5 = (c * y0) - (a * y1);
	double t_6 = x * ((a * b) - (c * i));
	double t_7 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_8 = y3 * ((c * y4) - (a * y5));
	double t_9 = (x * j) - (z * k);
	double t_10 = (a * y5) - (c * y4);
	double tmp;
	if (b <= -4e+230) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (b <= -1.1e+140) {
		tmp = k * (((y * (t_6 + t_8)) / k) + (y * t_4));
	} else if (b <= -7.5e-44) {
		tmp = t_7;
	} else if (b <= -9.5e-83) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_5)));
	} else if (b <= -1.05e-112) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (b <= -3.2e-243) {
		tmp = y1 * ((i * t_9) - ((a * t_3) + (y4 * ((j * y3) - (k * y2)))));
	} else if (b <= -1.35e-263) {
		tmp = c * (((y0 * t_3) + (i * t_2)) + (y4 * ((y * y3) - (t * y2))));
	} else if (b <= -9.6e-273) {
		tmp = t * (y2 * t_10);
	} else if (b <= 3.9e-200) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_5)) + (t * t_10));
	} else if (b <= 1.55e-95) {
		tmp = y * (t_8 + (t_6 + (k * t_4)));
	} else if (b <= 1.9e-91) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (b <= 3.5e-49) {
		tmp = i * ((y1 * t_9) + ((c * t_2) - (y5 * t_1)));
	} else if (b <= 7.5e-28) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 2e+52) {
		tmp = t_7;
	} else {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * 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_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 = (t * j) - (y * k)
    t_2 = (z * t) - (x * y)
    t_3 = (x * y2) - (z * y3)
    t_4 = (i * y5) - (b * y4)
    t_5 = (c * y0) - (a * y1)
    t_6 = x * ((a * b) - (c * i))
    t_7 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_8 = y3 * ((c * y4) - (a * y5))
    t_9 = (x * j) - (z * k)
    t_10 = (a * y5) - (c * y4)
    if (b <= (-4d+230)) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else if (b <= (-1.1d+140)) then
        tmp = k * (((y * (t_6 + t_8)) / k) + (y * t_4))
    else if (b <= (-7.5d-44)) then
        tmp = t_7
    else if (b <= (-9.5d-83)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_5)))
    else if (b <= (-1.05d-112)) then
        tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
    else if (b <= (-3.2d-243)) then
        tmp = y1 * ((i * t_9) - ((a * t_3) + (y4 * ((j * y3) - (k * y2)))))
    else if (b <= (-1.35d-263)) then
        tmp = c * (((y0 * t_3) + (i * t_2)) + (y4 * ((y * y3) - (t * y2))))
    else if (b <= (-9.6d-273)) then
        tmp = t * (y2 * t_10)
    else if (b <= 3.9d-200) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_5)) + (t * t_10))
    else if (b <= 1.55d-95) then
        tmp = y * (t_8 + (t_6 + (k * t_4)))
    else if (b <= 1.9d-91) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (b <= 3.5d-49) then
        tmp = i * ((y1 * t_9) + ((c * t_2) - (y5 * t_1)))
    else if (b <= 7.5d-28) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (b <= 2d+52) then
        tmp = t_7
    else
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * 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 = (t * j) - (y * k);
	double t_2 = (z * t) - (x * y);
	double t_3 = (x * y2) - (z * y3);
	double t_4 = (i * y5) - (b * y4);
	double t_5 = (c * y0) - (a * y1);
	double t_6 = x * ((a * b) - (c * i));
	double t_7 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_8 = y3 * ((c * y4) - (a * y5));
	double t_9 = (x * j) - (z * k);
	double t_10 = (a * y5) - (c * y4);
	double tmp;
	if (b <= -4e+230) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (b <= -1.1e+140) {
		tmp = k * (((y * (t_6 + t_8)) / k) + (y * t_4));
	} else if (b <= -7.5e-44) {
		tmp = t_7;
	} else if (b <= -9.5e-83) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_5)));
	} else if (b <= -1.05e-112) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (b <= -3.2e-243) {
		tmp = y1 * ((i * t_9) - ((a * t_3) + (y4 * ((j * y3) - (k * y2)))));
	} else if (b <= -1.35e-263) {
		tmp = c * (((y0 * t_3) + (i * t_2)) + (y4 * ((y * y3) - (t * y2))));
	} else if (b <= -9.6e-273) {
		tmp = t * (y2 * t_10);
	} else if (b <= 3.9e-200) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_5)) + (t * t_10));
	} else if (b <= 1.55e-95) {
		tmp = y * (t_8 + (t_6 + (k * t_4)));
	} else if (b <= 1.9e-91) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (b <= 3.5e-49) {
		tmp = i * ((y1 * t_9) + ((c * t_2) - (y5 * t_1)));
	} else if (b <= 7.5e-28) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 2e+52) {
		tmp = t_7;
	} else {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * j))));
	}
	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 * t) - (x * y)
	t_3 = (x * y2) - (z * y3)
	t_4 = (i * y5) - (b * y4)
	t_5 = (c * y0) - (a * y1)
	t_6 = x * ((a * b) - (c * i))
	t_7 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_8 = y3 * ((c * y4) - (a * y5))
	t_9 = (x * j) - (z * k)
	t_10 = (a * y5) - (c * y4)
	tmp = 0
	if b <= -4e+230:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	elif b <= -1.1e+140:
		tmp = k * (((y * (t_6 + t_8)) / k) + (y * t_4))
	elif b <= -7.5e-44:
		tmp = t_7
	elif b <= -9.5e-83:
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_5)))
	elif b <= -1.05e-112:
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
	elif b <= -3.2e-243:
		tmp = y1 * ((i * t_9) - ((a * t_3) + (y4 * ((j * y3) - (k * y2)))))
	elif b <= -1.35e-263:
		tmp = c * (((y0 * t_3) + (i * t_2)) + (y4 * ((y * y3) - (t * y2))))
	elif b <= -9.6e-273:
		tmp = t * (y2 * t_10)
	elif b <= 3.9e-200:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_5)) + (t * t_10))
	elif b <= 1.55e-95:
		tmp = y * (t_8 + (t_6 + (k * t_4)))
	elif b <= 1.9e-91:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif b <= 3.5e-49:
		tmp = i * ((y1 * t_9) + ((c * t_2) - (y5 * t_1)))
	elif b <= 7.5e-28:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif b <= 2e+52:
		tmp = t_7
	else:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * 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(t * j) - Float64(y * k))
	t_2 = Float64(Float64(z * t) - Float64(x * y))
	t_3 = Float64(Float64(x * y2) - Float64(z * y3))
	t_4 = Float64(Float64(i * y5) - Float64(b * y4))
	t_5 = Float64(Float64(c * y0) - Float64(a * y1))
	t_6 = Float64(x * Float64(Float64(a * b) - Float64(c * i)))
	t_7 = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_8 = Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))
	t_9 = Float64(Float64(x * j) - Float64(z * k))
	t_10 = Float64(Float64(a * y5) - Float64(c * y4))
	tmp = 0.0
	if (b <= -4e+230)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (b <= -1.1e+140)
		tmp = Float64(k * Float64(Float64(Float64(y * Float64(t_6 + t_8)) / k) + Float64(y * t_4)));
	elseif (b <= -7.5e-44)
		tmp = t_7;
	elseif (b <= -9.5e-83)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(t * Float64(Float64(c * i) - Float64(a * b))) - Float64(y3 * t_5))));
	elseif (b <= -1.05e-112)
		tmp = Float64(Float64(Float64(Float64(y3 * y4) - Float64(a * Float64(y3 * Float64(y5 / c)))) + Float64(Float64(i * Float64(k * Float64(y5 / c))) - Float64(x * i))) * Float64(y * c));
	elseif (b <= -3.2e-243)
		tmp = Float64(y1 * Float64(Float64(i * t_9) - Float64(Float64(a * t_3) + Float64(y4 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (b <= -1.35e-263)
		tmp = Float64(c * Float64(Float64(Float64(y0 * t_3) + Float64(i * t_2)) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (b <= -9.6e-273)
		tmp = Float64(t * Float64(y2 * t_10));
	elseif (b <= 3.9e-200)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_5)) + Float64(t * t_10)));
	elseif (b <= 1.55e-95)
		tmp = Float64(y * Float64(t_8 + Float64(t_6 + Float64(k * t_4))));
	elseif (b <= 1.9e-91)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (b <= 3.5e-49)
		tmp = Float64(i * Float64(Float64(y1 * t_9) + Float64(Float64(c * t_2) - Float64(y5 * t_1))));
	elseif (b <= 7.5e-28)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (b <= 2e+52)
		tmp = t_7;
	else
		tmp = 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)))));
	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 * t) - (x * y);
	t_3 = (x * y2) - (z * y3);
	t_4 = (i * y5) - (b * y4);
	t_5 = (c * y0) - (a * y1);
	t_6 = x * ((a * b) - (c * i));
	t_7 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_8 = y3 * ((c * y4) - (a * y5));
	t_9 = (x * j) - (z * k);
	t_10 = (a * y5) - (c * y4);
	tmp = 0.0;
	if (b <= -4e+230)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	elseif (b <= -1.1e+140)
		tmp = k * (((y * (t_6 + t_8)) / k) + (y * t_4));
	elseif (b <= -7.5e-44)
		tmp = t_7;
	elseif (b <= -9.5e-83)
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_5)));
	elseif (b <= -1.05e-112)
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	elseif (b <= -3.2e-243)
		tmp = y1 * ((i * t_9) - ((a * t_3) + (y4 * ((j * y3) - (k * y2)))));
	elseif (b <= -1.35e-263)
		tmp = c * (((y0 * t_3) + (i * t_2)) + (y4 * ((y * y3) - (t * y2))));
	elseif (b <= -9.6e-273)
		tmp = t * (y2 * t_10);
	elseif (b <= 3.9e-200)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_5)) + (t * t_10));
	elseif (b <= 1.55e-95)
		tmp = y * (t_8 + (t_6 + (k * t_4)));
	elseif (b <= 1.9e-91)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (b <= 3.5e-49)
		tmp = i * ((y1 * t_9) + ((c * t_2) - (y5 * t_1)));
	elseif (b <= 7.5e-28)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (b <= 2e+52)
		tmp = t_7;
	else
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_1)) + (y0 * ((z * k) - (x * 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[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -4e+230], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.1e+140], N[(k * N[(N[(N[(y * N[(t$95$6 + t$95$8), $MachinePrecision]), $MachinePrecision] / k), $MachinePrecision] + N[(y * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -7.5e-44], t$95$7, If[LessEqual[b, -9.5e-83], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y3 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.05e-112], N[(N[(N[(N[(y3 * y4), $MachinePrecision] - N[(a * N[(y3 * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(k * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -3.2e-243], N[(y1 * N[(N[(i * t$95$9), $MachinePrecision] - N[(N[(a * t$95$3), $MachinePrecision] + N[(y4 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.35e-263], N[(c * N[(N[(N[(y0 * t$95$3), $MachinePrecision] + N[(i * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -9.6e-273], N[(t * N[(y2 * t$95$10), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.9e-200], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.55e-95], N[(y * N[(t$95$8 + N[(t$95$6 + N[(k * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.9e-91], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.5e-49], N[(i * N[(N[(y1 * t$95$9), $MachinePrecision] + N[(N[(c * t$95$2), $MachinePrecision] - N[(y5 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 7.5e-28], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2e+52], t$95$7, 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]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 14 regimes

2. if b < -4.0000000000000004e230

   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 21.6%

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

   4. Taylor expanded in y0 around inf 64.4%

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

   if -4.0000000000000004e230 < b < -1.0999999999999999e140

   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 y around inf 52.9%

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

      1. +-commutative 52.9%

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

      2. mul-1-neg 52.9%

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

      3. unsub-neg 52.9%

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

      4. *-commutative 52.9%

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

      5. *-commutative 52.9%

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

      6. mul-1-neg 52.9%

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

   5. Simplified 52.9%

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

   6. Taylor expanded in k around inf 68.4%

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

   if -1.0999999999999999e140 < b < -7.50000000000000008e-44 or 7.5000000000000003e-28 < b < 2e52

   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 j around inf 61.6%

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

      1. +-commutative 61.6%

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

      2. mul-1-neg 61.6%

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

      3. unsub-neg 61.6%

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

      4. *-commutative 61.6%

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

   5. Simplified 61.6%

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

   if -7.50000000000000008e-44 < b < -9.50000000000000051e-83

   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 z around -inf 79.2%

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

   if -9.50000000000000051e-83 < b < -1.05e-112

   1. Initial program 22.0%

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

   3. Taylor expanded in y around inf 35.0%

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

      1. +-commutative 35.0%

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

      2. mul-1-neg 35.0%

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

      3. unsub-neg 35.0%

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

      4. *-commutative 35.0%

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

      5. *-commutative 35.0%

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

      6. mul-1-neg 35.0%

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

   5. Simplified 35.0%

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

   6. Taylor expanded in c around inf 45.3%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{y \cdot \left(\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}{c}\right)} \]
   7. Step-by-step derivation

      1. associate-/l* 45.3%

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

      2. distribute-lft-out 56.4%

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

      3. +-commutative 56.4%

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

      4. mul-1-neg 56.4%

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

      5. unsub-neg 56.4%

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

      6. *-commutative 56.4%

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

   8. Simplified 56.4%

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

   9. Taylor expanded in b around 0 56.4%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 66.7%

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

       2. *-commutative 66.7%

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

       3. +-commutative 66.7%

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

       4. mul-1-neg 66.7%

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

       5. unsub-neg 66.7%

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

       6. associate-/l* 77.8%

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

       7. associate-/l* 77.8%

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

       8. +-commutative 77.8%

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

       9. mul-1-neg 77.8%

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

       10. unsub-neg 77.8%

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

       11. *-commutative 77.8%

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

       12. associate-/l* 77.8%

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

       13. associate-/l* 77.8%

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

   11. Simplified 77.8%

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

   if -1.05e-112 < b < -3.1999999999999998e-243

   1. Initial program 28.0%

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

   3. Taylor expanded in y1 around -inf 60.8%

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

      1. associate-*r* 60.8%

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

      2. neg-mul-1 60.8%

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

      3. +-commutative 60.8%

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

      4. mul-1-neg 60.8%

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

      5. unsub-neg 60.8%

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

      6. *-commutative 60.8%

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

      7. *-commutative 60.8%

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

      8. *-commutative 60.8%

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

      9. *-commutative 60.8%

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

   5. Simplified 60.8%

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

   if -3.1999999999999998e-243 < b < -1.35000000000000002e-263

   1. Initial program 20.0%

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

   3. Taylor expanded in c around inf 100.0%

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

      1. +-commutative 100.0%

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

      2. mul-1-neg 100.0%

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

      3. unsub-neg 100.0%

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

      4. *-commutative 100.0%

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

      5. *-commutative 100.0%

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

      6. *-commutative 100.0%

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

      7. *-commutative 100.0%

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

   5. Simplified 100.0%

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

   if -1.35000000000000002e-263 < b < -9.59999999999999926e-273

   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 y2 around inf 66.7%

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

   4. Taylor expanded in t around inf 100.0%

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

   if -9.59999999999999926e-273 < b < 3.89999999999999999e-200

   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 y2 around inf 59.5%

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

   if 3.89999999999999999e-200 < b < 1.54999999999999996e-95

   1. Initial program 36.8%

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

   3. Taylor expanded in y around inf 53.4%

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

      1. +-commutative 53.4%

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

      2. mul-1-neg 53.4%

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

      3. unsub-neg 53.4%

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

      4. *-commutative 53.4%

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

      5. *-commutative 53.4%

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

      6. mul-1-neg 53.4%

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

   5. Simplified 53.4%

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

   if 1.54999999999999996e-95 < b < 1.89999999999999989e-91

   1. Initial program 66.7%

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

   3. Taylor expanded in y2 around inf 66.7%

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

   4. Taylor expanded in y0 around inf 100.0%

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

      1. +-commutative 100.0%

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

      2. mul-1-neg 100.0%

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

      3. unsub-neg 100.0%

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

   6. Simplified 100.0%

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

   if 1.89999999999999989e-91 < b < 3.50000000000000006e-49

   1. Initial program 25.9%

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

   3. Taylor expanded in i around -inf 67.3%

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

   if 3.50000000000000006e-49 < b < 7.5000000000000003e-28

   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 k around inf 52.2%

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

      1. +-commutative 52.2%

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

      2. mul-1-neg 52.2%

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

      3. unsub-neg 52.2%

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

      4. *-commutative 52.2%

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

      5. associate-*r* 52.2%

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

      6. neg-mul-1 52.2%

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

   5. Simplified 52.2%

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

   6. Taylor expanded in y1 around inf 76.0%

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

   if 2e52 < b

   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 63.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
3. Recombined 14 regimes into one program.

4. Final simplification 65.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -4 \cdot 10^{+230}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -1.1 \cdot 10^{+140}:\\ \;\;\;\;k \cdot \left(\frac{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}{k} + y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq -7.5 \cdot 10^{-44}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -9.5 \cdot 10^{-83}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;b \leq -1.05 \cdot 10^{-112}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;b \leq -3.2 \cdot 10^{-243}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;b \leq -1.35 \cdot 10^{-263}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -9.6 \cdot 10^{-273}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 3.9 \cdot 10^{-200}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 1.55 \cdot 10^{-95}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-91}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 3.5 \cdot 10^{-49}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{-28}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 2 \cdot 10^{+52}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;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)\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 43.3% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\\ t_2 := x \cdot j - z \cdot k\\ t_3 := t \cdot j - y \cdot k\\ t_4 := c \cdot y0 - a \cdot y1\\ t_5 := a \cdot y5 - c \cdot y4\\ t_6 := j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_7 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t\_3\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_8 := x \cdot y2 - z \cdot y3\\ t_9 := z \cdot t - x \cdot y\\ \mathbf{if}\;b \leq -1.1 \cdot 10^{+182}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;b \leq -4 \cdot 10^{+141}:\\ \;\;\;\;y \cdot t\_1\\ \mathbf{elif}\;b \leq -5.5 \cdot 10^{-43}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;b \leq -4.7 \cdot 10^{-85}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot t\_4\right)\right)\\ \mathbf{elif}\;b \leq -1.02 \cdot 10^{-112}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;b \leq -6.2 \cdot 10^{-241}:\\ \;\;\;\;y1 \cdot \left(i \cdot t\_2 - \left(a \cdot t\_8 + y4 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;b \leq -2.5 \cdot 10^{-263}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot t\_8 + i \cdot t\_9\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -4.6 \cdot 10^{-272}:\\ \;\;\;\;t \cdot \left(y2 \cdot t\_5\right)\\ \mathbf{elif}\;b \leq 1.4 \cdot 10^{-199}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_4\right) + t \cdot t\_5\right)\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{-96}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right) + t\_1\right)\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{-92}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-49}:\\ \;\;\;\;i \cdot \left(y1 \cdot t\_2 + \left(c \cdot t\_9 - y5 \cdot t\_3\right)\right)\\ \mathbf{elif}\;b \leq 2.45 \cdot 10^{-23}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 3.9 \cdot 10^{+33}:\\ \;\;\;\;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 (+ (* x (- (* a b) (* c i))) (* k (- (* i y5) (* b y4)))))
        (t_2 (- (* x j) (* z k)))
        (t_3 (- (* t j) (* y k)))
        (t_4 (- (* c y0) (* a y1)))
        (t_5 (- (* a y5) (* c y4)))
        (t_6
         (*
          j
          (+
           (+ (* t (- (* b y4) (* i y5))) (* y3 (- (* y0 y5) (* y1 y4))))
           (* x (- (* i y1) (* b y0))))))
        (t_7
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 t_3))
           (* y0 (- (* z k) (* x j))))))
        (t_8 (- (* x y2) (* z y3)))
        (t_9 (- (* z t) (* x y))))
   (if (<= b -1.1e+182)
     t_7
     (if (<= b -4e+141)
       (* y t_1)
       (if (<= b -5.5e-43)
         t_6
         (if (<= b -4.7e-85)
           (*
            z
            (+
             (* k (- (* b y0) (* i y1)))
             (- (* t (- (* c i) (* a b))) (* y3 t_4))))
           (if (<= b -1.02e-112)
             (*
              (+
               (- (* y3 y4) (* a (* y3 (/ y5 c))))
               (- (* i (* k (/ y5 c))) (* x i)))
              (* y c))
             (if (<= b -6.2e-241)
               (* y1 (- (* i t_2) (+ (* a t_8) (* y4 (- (* j y3) (* k y2))))))
               (if (<= b -2.5e-263)
                 (*
                  c
                  (+ (+ (* y0 t_8) (* i t_9)) (* y4 (- (* y y3) (* t y2)))))
                 (if (<= b -4.6e-272)
                   (* t (* y2 t_5))
                   (if (<= b 1.4e-199)
                     (*
                      y2
                      (+
                       (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_4))
                       (* t t_5)))
                     (if (<= b 8.5e-96)
                       (* y (+ (* y3 (- (* c y4) (* a y5))) t_1))
                       (if (<= b 8.5e-92)
                         (* y0 (* y2 (- (* x c) (* k y5))))
                         (if (<= b 1.25e-49)
                           (* i (+ (* y1 t_2) (- (* c t_9) (* y5 t_3))))
                           (if (<= b 2.45e-23)
                             (* k (* y1 (- (* y2 y4) (* z i))))
                             (if (<= b 3.9e+33) 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 = (x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4)));
	double t_2 = (x * j) - (z * k);
	double t_3 = (t * j) - (y * k);
	double t_4 = (c * y0) - (a * y1);
	double t_5 = (a * y5) - (c * y4);
	double t_6 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	double t_8 = (x * y2) - (z * y3);
	double t_9 = (z * t) - (x * y);
	double tmp;
	if (b <= -1.1e+182) {
		tmp = t_7;
	} else if (b <= -4e+141) {
		tmp = y * t_1;
	} else if (b <= -5.5e-43) {
		tmp = t_6;
	} else if (b <= -4.7e-85) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_4)));
	} else if (b <= -1.02e-112) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (b <= -6.2e-241) {
		tmp = y1 * ((i * t_2) - ((a * t_8) + (y4 * ((j * y3) - (k * y2)))));
	} else if (b <= -2.5e-263) {
		tmp = c * (((y0 * t_8) + (i * t_9)) + (y4 * ((y * y3) - (t * y2))));
	} else if (b <= -4.6e-272) {
		tmp = t * (y2 * t_5);
	} else if (b <= 1.4e-199) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * t_5));
	} else if (b <= 8.5e-96) {
		tmp = y * ((y3 * ((c * y4) - (a * y5))) + t_1);
	} else if (b <= 8.5e-92) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (b <= 1.25e-49) {
		tmp = i * ((y1 * t_2) + ((c * t_9) - (y5 * t_3)));
	} else if (b <= 2.45e-23) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 3.9e+33) {
		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 = (x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4)))
    t_2 = (x * j) - (z * k)
    t_3 = (t * j) - (y * k)
    t_4 = (c * y0) - (a * y1)
    t_5 = (a * y5) - (c * y4)
    t_6 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))))
    t_8 = (x * y2) - (z * y3)
    t_9 = (z * t) - (x * y)
    if (b <= (-1.1d+182)) then
        tmp = t_7
    else if (b <= (-4d+141)) then
        tmp = y * t_1
    else if (b <= (-5.5d-43)) then
        tmp = t_6
    else if (b <= (-4.7d-85)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_4)))
    else if (b <= (-1.02d-112)) then
        tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
    else if (b <= (-6.2d-241)) then
        tmp = y1 * ((i * t_2) - ((a * t_8) + (y4 * ((j * y3) - (k * y2)))))
    else if (b <= (-2.5d-263)) then
        tmp = c * (((y0 * t_8) + (i * t_9)) + (y4 * ((y * y3) - (t * y2))))
    else if (b <= (-4.6d-272)) then
        tmp = t * (y2 * t_5)
    else if (b <= 1.4d-199) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * t_5))
    else if (b <= 8.5d-96) then
        tmp = y * ((y3 * ((c * y4) - (a * y5))) + t_1)
    else if (b <= 8.5d-92) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (b <= 1.25d-49) then
        tmp = i * ((y1 * t_2) + ((c * t_9) - (y5 * t_3)))
    else if (b <= 2.45d-23) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (b <= 3.9d+33) 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 = (x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4)));
	double t_2 = (x * j) - (z * k);
	double t_3 = (t * j) - (y * k);
	double t_4 = (c * y0) - (a * y1);
	double t_5 = (a * y5) - (c * y4);
	double t_6 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	double t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	double t_8 = (x * y2) - (z * y3);
	double t_9 = (z * t) - (x * y);
	double tmp;
	if (b <= -1.1e+182) {
		tmp = t_7;
	} else if (b <= -4e+141) {
		tmp = y * t_1;
	} else if (b <= -5.5e-43) {
		tmp = t_6;
	} else if (b <= -4.7e-85) {
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_4)));
	} else if (b <= -1.02e-112) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (b <= -6.2e-241) {
		tmp = y1 * ((i * t_2) - ((a * t_8) + (y4 * ((j * y3) - (k * y2)))));
	} else if (b <= -2.5e-263) {
		tmp = c * (((y0 * t_8) + (i * t_9)) + (y4 * ((y * y3) - (t * y2))));
	} else if (b <= -4.6e-272) {
		tmp = t * (y2 * t_5);
	} else if (b <= 1.4e-199) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * t_5));
	} else if (b <= 8.5e-96) {
		tmp = y * ((y3 * ((c * y4) - (a * y5))) + t_1);
	} else if (b <= 8.5e-92) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (b <= 1.25e-49) {
		tmp = i * ((y1 * t_2) + ((c * t_9) - (y5 * t_3)));
	} else if (b <= 2.45e-23) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (b <= 3.9e+33) {
		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 = (x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4)))
	t_2 = (x * j) - (z * k)
	t_3 = (t * j) - (y * k)
	t_4 = (c * y0) - (a * y1)
	t_5 = (a * y5) - (c * y4)
	t_6 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))))
	t_8 = (x * y2) - (z * y3)
	t_9 = (z * t) - (x * y)
	tmp = 0
	if b <= -1.1e+182:
		tmp = t_7
	elif b <= -4e+141:
		tmp = y * t_1
	elif b <= -5.5e-43:
		tmp = t_6
	elif b <= -4.7e-85:
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_4)))
	elif b <= -1.02e-112:
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
	elif b <= -6.2e-241:
		tmp = y1 * ((i * t_2) - ((a * t_8) + (y4 * ((j * y3) - (k * y2)))))
	elif b <= -2.5e-263:
		tmp = c * (((y0 * t_8) + (i * t_9)) + (y4 * ((y * y3) - (t * y2))))
	elif b <= -4.6e-272:
		tmp = t * (y2 * t_5)
	elif b <= 1.4e-199:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * t_5))
	elif b <= 8.5e-96:
		tmp = y * ((y3 * ((c * y4) - (a * y5))) + t_1)
	elif b <= 8.5e-92:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif b <= 1.25e-49:
		tmp = i * ((y1 * t_2) + ((c * t_9) - (y5 * t_3)))
	elif b <= 2.45e-23:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif b <= 3.9e+33:
		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(x * Float64(Float64(a * b) - Float64(c * i))) + Float64(k * Float64(Float64(i * y5) - Float64(b * y4))))
	t_2 = Float64(Float64(x * j) - Float64(z * k))
	t_3 = Float64(Float64(t * j) - Float64(y * k))
	t_4 = Float64(Float64(c * y0) - Float64(a * y1))
	t_5 = Float64(Float64(a * y5) - Float64(c * y4))
	t_6 = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))))
	t_7 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_3)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	t_8 = Float64(Float64(x * y2) - Float64(z * y3))
	t_9 = Float64(Float64(z * t) - Float64(x * y))
	tmp = 0.0
	if (b <= -1.1e+182)
		tmp = t_7;
	elseif (b <= -4e+141)
		tmp = Float64(y * t_1);
	elseif (b <= -5.5e-43)
		tmp = t_6;
	elseif (b <= -4.7e-85)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) + Float64(Float64(t * Float64(Float64(c * i) - Float64(a * b))) - Float64(y3 * t_4))));
	elseif (b <= -1.02e-112)
		tmp = Float64(Float64(Float64(Float64(y3 * y4) - Float64(a * Float64(y3 * Float64(y5 / c)))) + Float64(Float64(i * Float64(k * Float64(y5 / c))) - Float64(x * i))) * Float64(y * c));
	elseif (b <= -6.2e-241)
		tmp = Float64(y1 * Float64(Float64(i * t_2) - Float64(Float64(a * t_8) + Float64(y4 * Float64(Float64(j * y3) - Float64(k * y2))))));
	elseif (b <= -2.5e-263)
		tmp = Float64(c * Float64(Float64(Float64(y0 * t_8) + Float64(i * t_9)) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (b <= -4.6e-272)
		tmp = Float64(t * Float64(y2 * t_5));
	elseif (b <= 1.4e-199)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_4)) + Float64(t * t_5)));
	elseif (b <= 8.5e-96)
		tmp = Float64(y * Float64(Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))) + t_1));
	elseif (b <= 8.5e-92)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (b <= 1.25e-49)
		tmp = Float64(i * Float64(Float64(y1 * t_2) + Float64(Float64(c * t_9) - Float64(y5 * t_3))));
	elseif (b <= 2.45e-23)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (b <= 3.9e+33)
		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 = (x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4)));
	t_2 = (x * j) - (z * k);
	t_3 = (t * j) - (y * k);
	t_4 = (c * y0) - (a * y1);
	t_5 = (a * y5) - (c * y4);
	t_6 = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_3)) + (y0 * ((z * k) - (x * j))));
	t_8 = (x * y2) - (z * y3);
	t_9 = (z * t) - (x * y);
	tmp = 0.0;
	if (b <= -1.1e+182)
		tmp = t_7;
	elseif (b <= -4e+141)
		tmp = y * t_1;
	elseif (b <= -5.5e-43)
		tmp = t_6;
	elseif (b <= -4.7e-85)
		tmp = z * ((k * ((b * y0) - (i * y1))) + ((t * ((c * i) - (a * b))) - (y3 * t_4)));
	elseif (b <= -1.02e-112)
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	elseif (b <= -6.2e-241)
		tmp = y1 * ((i * t_2) - ((a * t_8) + (y4 * ((j * y3) - (k * y2)))));
	elseif (b <= -2.5e-263)
		tmp = c * (((y0 * t_8) + (i * t_9)) + (y4 * ((y * y3) - (t * y2))));
	elseif (b <= -4.6e-272)
		tmp = t * (y2 * t_5);
	elseif (b <= 1.4e-199)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * t_5));
	elseif (b <= 8.5e-96)
		tmp = y * ((y3 * ((c * y4) - (a * y5))) + t_1);
	elseif (b <= 8.5e-92)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (b <= 1.25e-49)
		tmp = i * ((y1 * t_2) + ((c * t_9) - (y5 * t_3)));
	elseif (b <= 2.45e-23)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (b <= 3.9e+33)
		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[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(j * N[(N[(N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.1e+182], t$95$7, If[LessEqual[b, -4e+141], N[(y * t$95$1), $MachinePrecision], If[LessEqual[b, -5.5e-43], t$95$6, If[LessEqual[b, -4.7e-85], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y3 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.02e-112], N[(N[(N[(N[(y3 * y4), $MachinePrecision] - N[(a * N[(y3 * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(k * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -6.2e-241], N[(y1 * N[(N[(i * t$95$2), $MachinePrecision] - N[(N[(a * t$95$8), $MachinePrecision] + N[(y4 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.5e-263], N[(c * N[(N[(N[(y0 * t$95$8), $MachinePrecision] + N[(i * t$95$9), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -4.6e-272], N[(t * N[(y2 * t$95$5), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.4e-199], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 8.5e-96], N[(y * N[(N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 8.5e-92], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.25e-49], N[(i * N[(N[(y1 * t$95$2), $MachinePrecision] + N[(N[(c * t$95$9), $MachinePrecision] - N[(y5 * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.45e-23], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.9e+33], t$95$6, t$95$7]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if b < -1.09999999999999998e182 or 3.9000000000000002e33 < b

   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 b around inf 62.7%

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

   if -1.09999999999999998e182 < b < -4.00000000000000007e141

   1. Initial program 30.0%

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

   3. Taylor expanded in y around inf 70.0%

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

      1. +-commutative 70.0%

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

      2. mul-1-neg 70.0%

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

      3. unsub-neg 70.0%

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

      4. *-commutative 70.0%

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

      5. *-commutative 70.0%

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

      6. mul-1-neg 70.0%

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

   5. Simplified 70.0%

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

   6. Taylor expanded in y3 around 0 80.5%

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

   if -4.00000000000000007e141 < b < -5.50000000000000013e-43 or 2.4499999999999999e-23 < b < 3.9000000000000002e33

   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 j around inf 61.6%

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

      1. +-commutative 61.6%

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

      2. mul-1-neg 61.6%

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

      3. unsub-neg 61.6%

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

      4. *-commutative 61.6%

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

   5. Simplified 61.6%

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

   if -5.50000000000000013e-43 < b < -4.70000000000000009e-85

   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 z around -inf 79.2%

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

   if -4.70000000000000009e-85 < b < -1.01999999999999996e-112

   1. Initial program 22.0%

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

   3. Taylor expanded in y around inf 35.0%

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

      1. +-commutative 35.0%

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

      2. mul-1-neg 35.0%

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

      3. unsub-neg 35.0%

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

      4. *-commutative 35.0%

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

      5. *-commutative 35.0%

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

      6. mul-1-neg 35.0%

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

   5. Simplified 35.0%

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

   6. Taylor expanded in c around inf 45.3%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{y \cdot \left(\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}{c}\right)} \]
   7. Step-by-step derivation

      1. associate-/l* 45.3%

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

      2. distribute-lft-out 56.4%

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

      3. +-commutative 56.4%

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

      4. mul-1-neg 56.4%

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

      5. unsub-neg 56.4%

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

      6. *-commutative 56.4%

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

   8. Simplified 56.4%

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

   9. Taylor expanded in b around 0 56.4%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 66.7%

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

       2. *-commutative 66.7%

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

       3. +-commutative 66.7%

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

       4. mul-1-neg 66.7%

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

       5. unsub-neg 66.7%

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

       6. associate-/l* 77.8%

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

       7. associate-/l* 77.8%

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

       8. +-commutative 77.8%

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

       9. mul-1-neg 77.8%

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

       10. unsub-neg 77.8%

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

       11. *-commutative 77.8%

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

       12. associate-/l* 77.8%

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

       13. associate-/l* 77.8%

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

   11. Simplified 77.8%

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

   if -1.01999999999999996e-112 < b < -6.1999999999999998e-241

   1. Initial program 28.0%

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

   3. Taylor expanded in y1 around -inf 60.8%

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

      1. associate-*r* 60.8%

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

      2. neg-mul-1 60.8%

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

      3. +-commutative 60.8%

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

      4. mul-1-neg 60.8%

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

      5. unsub-neg 60.8%

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

      6. *-commutative 60.8%

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

      7. *-commutative 60.8%

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

      8. *-commutative 60.8%

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

      9. *-commutative 60.8%

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

   5. Simplified 60.8%

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

   if -6.1999999999999998e-241 < b < -2.50000000000000003e-263

   1. Initial program 20.0%

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

   3. Taylor expanded in c around inf 100.0%

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

      1. +-commutative 100.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      4. *-commutative 100.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      5. *-commutative 100.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      6. *-commutative 100.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      7. *-commutative 100.0%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} \]

   if -2.50000000000000003e-263 < b < -4.59999999999999978e-272

   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 y2 around inf 66.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 100.0%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -4.59999999999999978e-272 < b < 1.40000000000000009e-199

   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 y2 around inf 59.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if 1.40000000000000009e-199 < b < 8.49999999999999983e-96

   1. Initial program 36.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 53.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 53.4%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 53.4%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 53.4%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 53.4%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 53.4%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 53.4%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 53.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   if 8.49999999999999983e-96 < b < 8.50000000000000067e-92

   1. Initial program 66.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 66.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y0 around inf 100.0%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto y0 \cdot \left(y2 \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right) \]

   6. Simplified 100.0%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if 8.50000000000000067e-92 < b < 1.25e-49

   1. Initial program 25.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 67.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   if 1.25e-49 < b < 2.4499999999999999e-23

   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 k around inf 52.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 52.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 52.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 52.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 52.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 52.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 52.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 52.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 76.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 65.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.1 \cdot 10^{+182}:\\ \;\;\;\;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}\;b \leq -4 \cdot 10^{+141}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq -5.5 \cdot 10^{-43}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -4.7 \cdot 10^{-85}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) + \left(t \cdot \left(c \cdot i - a \cdot b\right) - y3 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)\\ \mathbf{elif}\;b \leq -1.02 \cdot 10^{-112}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;b \leq -6.2 \cdot 10^{-241}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - \left(a \cdot \left(x \cdot y2 - z \cdot y3\right) + y4 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\right)\\ \mathbf{elif}\;b \leq -2.5 \cdot 10^{-263}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -4.6 \cdot 10^{-272}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 1.4 \cdot 10^{-199}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{-96}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\right)\\ \mathbf{elif}\;b \leq 8.5 \cdot 10^{-92}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-49}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) - y5 \cdot \left(t \cdot j - y \cdot k\right)\right)\right)\\ \mathbf{elif}\;b \leq 2.45 \cdot 10^{-23}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;b \leq 3.9 \cdot 10^{+33}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;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)\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 35.6% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot y1 - b \cdot y0\\ t_2 := a \cdot b - c \cdot i\\ t_3 := b \cdot y4 - i \cdot y5\\ t_4 := 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)\\ t_5 := y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{if}\;a \leq -1.45 \cdot 10^{+229}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -1.06 \cdot 10^{+96}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t\_2 + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot t\_1\right)\\ \mathbf{elif}\;a \leq -1.65 \cdot 10^{+21}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -4.9 \cdot 10^{-144}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;a \leq -6.8 \cdot 10^{-179}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;a \leq -1.75 \cdot 10^{-258}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;a \leq -2.6 \cdot 10^{-303}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;a \leq 6.9 \cdot 10^{-242}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-200}:\\ \;\;\;\;y \cdot \left(x \cdot t\_2 + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 9 \cdot 10^{-155}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-101}:\\ \;\;\;\;j \cdot \left(\left(t \cdot t\_3 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot t\_1\right)\\ \mathbf{elif}\;a \leq 2.2 \cdot 10^{-91}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 3.1 \cdot 10^{+20}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right) - y \cdot \left(k \cdot t\_3 + c \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 3 \cdot 10^{+155}:\\ \;\;\;\;t \cdot \left(\left(j \cdot t\_3 + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{+159}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* i y1) (* b y0)))
        (t_2 (- (* a b) (* c i)))
        (t_3 (- (* b y4) (* i y5)))
        (t_4
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j))))))
        (t_5 (* y5 (* y0 (- (* j y3) (* k y2))))))
   (if (<= a -1.45e+229)
     (* y2 (* y5 (- (* t a) (* k y0))))
     (if (<= a -1.06e+96)
       (* x (+ (+ (* y t_2) (* y2 (- (* c y0) (* a y1)))) (* j t_1)))
       (if (<= a -1.65e+21)
         (* x (* y1 (- (* i j) (* a y2))))
         (if (<= a -4.9e-144)
           t_4
           (if (<= a -6.8e-179)
             (*
              (+
               (- (* y3 y4) (* a (* y3 (/ y5 c))))
               (- (* i (* k (/ y5 c))) (* x i)))
              (* y c))
             (if (<= a -1.75e-258)
               (* i (+ (* c (- (* z t) (* x y))) (* y1 (- (* x j) (* z k)))))
               (if (<= a -2.6e-303)
                 t_4
                 (if (<= a 6.9e-242)
                   t_5
                   (if (<= a 7e-200)
                     (* y (+ (* x t_2) (* k (- (* i y5) (* b y4)))))
                     (if (<= a 9e-155)
                       t_5
                       (if (<= a 3.8e-101)
                         (*
                          j
                          (+
                           (+ (* t t_3) (* y3 (- (* y0 y5) (* y1 y4))))
                           (* x t_1)))
                         (if (<= a 2.2e-91)
                           (* k (* y1 (* y2 y4)))
                           (if (<= a 3.1e+20)
                             (-
                              (* a (* (* x y) b))
                              (* y (+ (* k t_3) (* c (* x i)))))
                             (if (<= a 3e+155)
                               (*
                                t
                                (+
                                 (+ (* j t_3) (* z (- (* c i) (* a b))))
                                 (* y2 (- (* a y5) (* c y4)))))
                               (if (<= a 2.8e+159)
                                 (* b (* x (- (* y a) (* j y0))))
                                 (*
                                  y2
                                  (* a (- (* t y5) (* x y1)))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double t_2 = (a * b) - (c * i);
	double t_3 = (b * y4) - (i * y5);
	double t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_5 = y5 * (y0 * ((j * y3) - (k * y2)));
	double tmp;
	if (a <= -1.45e+229) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (a <= -1.06e+96) {
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	} else if (a <= -1.65e+21) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (a <= -4.9e-144) {
		tmp = t_4;
	} else if (a <= -6.8e-179) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (a <= -1.75e-258) {
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	} else if (a <= -2.6e-303) {
		tmp = t_4;
	} else if (a <= 6.9e-242) {
		tmp = t_5;
	} else if (a <= 7e-200) {
		tmp = y * ((x * t_2) + (k * ((i * y5) - (b * y4))));
	} else if (a <= 9e-155) {
		tmp = t_5;
	} else if (a <= 3.8e-101) {
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_1));
	} else if (a <= 2.2e-91) {
		tmp = k * (y1 * (y2 * y4));
	} else if (a <= 3.1e+20) {
		tmp = (a * ((x * y) * b)) - (y * ((k * t_3) + (c * (x * i))));
	} else if (a <= 3e+155) {
		tmp = t * (((j * t_3) + (z * ((c * i) - (a * b)))) + (y2 * ((a * y5) - (c * y4))));
	} else if (a <= 2.8e+159) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = (i * y1) - (b * y0)
    t_2 = (a * b) - (c * i)
    t_3 = (b * y4) - (i * y5)
    t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    t_5 = y5 * (y0 * ((j * y3) - (k * y2)))
    if (a <= (-1.45d+229)) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (a <= (-1.06d+96)) then
        tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))
    else if (a <= (-1.65d+21)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (a <= (-4.9d-144)) then
        tmp = t_4
    else if (a <= (-6.8d-179)) then
        tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
    else if (a <= (-1.75d-258)) then
        tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))))
    else if (a <= (-2.6d-303)) then
        tmp = t_4
    else if (a <= 6.9d-242) then
        tmp = t_5
    else if (a <= 7d-200) then
        tmp = y * ((x * t_2) + (k * ((i * y5) - (b * y4))))
    else if (a <= 9d-155) then
        tmp = t_5
    else if (a <= 3.8d-101) then
        tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_1))
    else if (a <= 2.2d-91) then
        tmp = k * (y1 * (y2 * y4))
    else if (a <= 3.1d+20) then
        tmp = (a * ((x * y) * b)) - (y * ((k * t_3) + (c * (x * i))))
    else if (a <= 3d+155) then
        tmp = t * (((j * t_3) + (z * ((c * i) - (a * b)))) + (y2 * ((a * y5) - (c * y4))))
    else if (a <= 2.8d+159) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else
        tmp = y2 * (a * ((t * y5) - (x * y1)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (i * y1) - (b * y0);
	double t_2 = (a * b) - (c * i);
	double t_3 = (b * y4) - (i * y5);
	double t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_5 = y5 * (y0 * ((j * y3) - (k * y2)));
	double tmp;
	if (a <= -1.45e+229) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (a <= -1.06e+96) {
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	} else if (a <= -1.65e+21) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (a <= -4.9e-144) {
		tmp = t_4;
	} else if (a <= -6.8e-179) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (a <= -1.75e-258) {
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	} else if (a <= -2.6e-303) {
		tmp = t_4;
	} else if (a <= 6.9e-242) {
		tmp = t_5;
	} else if (a <= 7e-200) {
		tmp = y * ((x * t_2) + (k * ((i * y5) - (b * y4))));
	} else if (a <= 9e-155) {
		tmp = t_5;
	} else if (a <= 3.8e-101) {
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_1));
	} else if (a <= 2.2e-91) {
		tmp = k * (y1 * (y2 * y4));
	} else if (a <= 3.1e+20) {
		tmp = (a * ((x * y) * b)) - (y * ((k * t_3) + (c * (x * i))));
	} else if (a <= 3e+155) {
		tmp = t * (((j * t_3) + (z * ((c * i) - (a * b)))) + (y2 * ((a * y5) - (c * y4))));
	} else if (a <= 2.8e+159) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (i * y1) - (b * y0)
	t_2 = (a * b) - (c * i)
	t_3 = (b * y4) - (i * y5)
	t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	t_5 = y5 * (y0 * ((j * y3) - (k * y2)))
	tmp = 0
	if a <= -1.45e+229:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif a <= -1.06e+96:
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1))
	elif a <= -1.65e+21:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif a <= -4.9e-144:
		tmp = t_4
	elif a <= -6.8e-179:
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
	elif a <= -1.75e-258:
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))))
	elif a <= -2.6e-303:
		tmp = t_4
	elif a <= 6.9e-242:
		tmp = t_5
	elif a <= 7e-200:
		tmp = y * ((x * t_2) + (k * ((i * y5) - (b * y4))))
	elif a <= 9e-155:
		tmp = t_5
	elif a <= 3.8e-101:
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_1))
	elif a <= 2.2e-91:
		tmp = k * (y1 * (y2 * y4))
	elif a <= 3.1e+20:
		tmp = (a * ((x * y) * b)) - (y * ((k * t_3) + (c * (x * i))))
	elif a <= 3e+155:
		tmp = t * (((j * t_3) + (z * ((c * i) - (a * b)))) + (y2 * ((a * y5) - (c * y4))))
	elif a <= 2.8e+159:
		tmp = b * (x * ((y * a) - (j * y0)))
	else:
		tmp = y2 * (a * ((t * y5) - (x * y1)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(i * y1) - Float64(b * y0))
	t_2 = Float64(Float64(a * b) - Float64(c * i))
	t_3 = Float64(Float64(b * y4) - Float64(i * y5))
	t_4 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	t_5 = Float64(y5 * Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))))
	tmp = 0.0
	if (a <= -1.45e+229)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (a <= -1.06e+96)
		tmp = Float64(x * Float64(Float64(Float64(y * t_2) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * t_1)));
	elseif (a <= -1.65e+21)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (a <= -4.9e-144)
		tmp = t_4;
	elseif (a <= -6.8e-179)
		tmp = Float64(Float64(Float64(Float64(y3 * y4) - Float64(a * Float64(y3 * Float64(y5 / c)))) + Float64(Float64(i * Float64(k * Float64(y5 / c))) - Float64(x * i))) * Float64(y * c));
	elseif (a <= -1.75e-258)
		tmp = Float64(i * Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (a <= -2.6e-303)
		tmp = t_4;
	elseif (a <= 6.9e-242)
		tmp = t_5;
	elseif (a <= 7e-200)
		tmp = Float64(y * Float64(Float64(x * t_2) + Float64(k * Float64(Float64(i * y5) - Float64(b * y4)))));
	elseif (a <= 9e-155)
		tmp = t_5;
	elseif (a <= 3.8e-101)
		tmp = Float64(j * Float64(Float64(Float64(t * t_3) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * t_1)));
	elseif (a <= 2.2e-91)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (a <= 3.1e+20)
		tmp = Float64(Float64(a * Float64(Float64(x * y) * b)) - Float64(y * Float64(Float64(k * t_3) + Float64(c * Float64(x * i)))));
	elseif (a <= 3e+155)
		tmp = Float64(t * Float64(Float64(Float64(j * t_3) + Float64(z * Float64(Float64(c * i) - Float64(a * b)))) + Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4)))));
	elseif (a <= 2.8e+159)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	else
		tmp = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (i * y1) - (b * y0);
	t_2 = (a * b) - (c * i);
	t_3 = (b * y4) - (i * y5);
	t_4 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	t_5 = y5 * (y0 * ((j * y3) - (k * y2)));
	tmp = 0.0;
	if (a <= -1.45e+229)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (a <= -1.06e+96)
		tmp = x * (((y * t_2) + (y2 * ((c * y0) - (a * y1)))) + (j * t_1));
	elseif (a <= -1.65e+21)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (a <= -4.9e-144)
		tmp = t_4;
	elseif (a <= -6.8e-179)
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	elseif (a <= -1.75e-258)
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	elseif (a <= -2.6e-303)
		tmp = t_4;
	elseif (a <= 6.9e-242)
		tmp = t_5;
	elseif (a <= 7e-200)
		tmp = y * ((x * t_2) + (k * ((i * y5) - (b * y4))));
	elseif (a <= 9e-155)
		tmp = t_5;
	elseif (a <= 3.8e-101)
		tmp = j * (((t * t_3) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * t_1));
	elseif (a <= 2.2e-91)
		tmp = k * (y1 * (y2 * y4));
	elseif (a <= 3.1e+20)
		tmp = (a * ((x * y) * b)) - (y * ((k * t_3) + (c * (x * i))));
	elseif (a <= 3e+155)
		tmp = t * (((j * t_3) + (z * ((c * i) - (a * b)))) + (y2 * ((a * y5) - (c * y4))));
	elseif (a <= 2.8e+159)
		tmp = b * (x * ((y * a) - (j * y0)));
	else
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = 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 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y5 * N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1.45e+229], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.06e+96], N[(x * N[(N[(N[(y * t$95$2), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.65e+21], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.9e-144], t$95$4, If[LessEqual[a, -6.8e-179], N[(N[(N[(N[(y3 * y4), $MachinePrecision] - N[(a * N[(y3 * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(k * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.75e-258], N[(i * N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.6e-303], t$95$4, If[LessEqual[a, 6.9e-242], t$95$5, If[LessEqual[a, 7e-200], N[(y * N[(N[(x * t$95$2), $MachinePrecision] + N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 9e-155], t$95$5, If[LessEqual[a, 3.8e-101], N[(j * N[(N[(N[(t * t$95$3), $MachinePrecision] + N[(y3 * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.2e-91], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.1e+20], N[(N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision] - N[(y * N[(N[(k * t$95$3), $MachinePrecision] + N[(c * N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3e+155], N[(t * N[(N[(N[(j * t$95$3), $MachinePrecision] + N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.8e+159], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 14 regimes

2. if a < -1.44999999999999991e229

   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 y2 around inf 38.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around -inf 69.6%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 69.6%

         \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   6. Simplified 69.6%

      \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   if -1.44999999999999991e229 < a < -1.06e96

   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 x around inf 61.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -1.06e96 < a < -1.65e21

   1. Initial program 0.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 25.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y1 around -inf 59.0%

      \[\leadsto \color{blue}{-1 \cdot \left(x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 59.0%

         \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

   6. Simplified 59.0%

      \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

   if -1.65e21 < a < -4.9000000000000001e-144 or -1.75000000000000001e-258 < a < -2.60000000000000005e-303

   1. Initial program 31.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 58.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -4.9000000000000001e-144 < a < -6.7999999999999995e-179

   1. Initial program 55.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 57.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 57.4%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 57.4%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 57.4%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 57.4%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 57.4%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 57.4%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 57.4%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in c around inf 56.2%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{y \cdot \left(\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}{c}\right)} \]
   7. Step-by-step derivation

      1. associate-/l* 56.2%

         \[\leadsto c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \color{blue}{y \cdot \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}}\right) \]

      2. distribute-lft-out 67.3%

         \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(\left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right)} \]

      3. +-commutative 67.3%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{\left(y3 \cdot y4 + -1 \cdot \left(i \cdot x\right)\right)} + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      4. mul-1-neg 67.3%

         \[\leadsto c \cdot \left(y \cdot \left(\left(y3 \cdot y4 + \color{blue}{\left(-i \cdot x\right)}\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      5. unsub-neg 67.3%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{\left(y3 \cdot y4 - i \cdot x\right)} + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      6. *-commutative 67.3%

         \[\leadsto c \cdot \left(y \cdot \left(\left(y3 \cdot y4 - \color{blue}{x \cdot i}\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

   8. Simplified 67.3%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(y3 \cdot y4 - x \cdot i\right) + \frac{a \cdot \left(x \cdot b - y3 \cdot y5\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right)} \]

   9. Taylor expanded in b around 0 67.3%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 67.3%

          \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right)} \]

       2. *-commutative 67.3%

          \[\leadsto \color{blue}{\left(y \cdot c\right)} \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       3. +-commutative 67.3%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\color{blue}{\left(y3 \cdot y4 + -1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c}\right)} - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       4. mul-1-neg 67.3%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 + \color{blue}{\left(-\frac{a \cdot \left(y3 \cdot y5\right)}{c}\right)}\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       5. unsub-neg 67.3%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\color{blue}{\left(y3 \cdot y4 - \frac{a \cdot \left(y3 \cdot y5\right)}{c}\right)} - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       6. associate-/l* 78.0%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - \color{blue}{a \cdot \frac{y3 \cdot y5}{c}}\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       7. associate-/l* 78.0%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \color{blue}{\left(y3 \cdot \frac{y5}{c}\right)}\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       8. +-commutative 78.0%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \color{blue}{\left(i \cdot x + -1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c}\right)}\right) \]

       9. mul-1-neg 78.0%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(i \cdot x + \color{blue}{\left(-\frac{i \cdot \left(k \cdot y5\right)}{c}\right)}\right)\right) \]

       10. unsub-neg 78.0%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \color{blue}{\left(i \cdot x - \frac{i \cdot \left(k \cdot y5\right)}{c}\right)}\right) \]

       11. *-commutative 78.0%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(\color{blue}{x \cdot i} - \frac{i \cdot \left(k \cdot y5\right)}{c}\right)\right) \]

       12. associate-/l* 78.0%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(x \cdot i - \color{blue}{i \cdot \frac{k \cdot y5}{c}}\right)\right) \]

       13. associate-/l* 66.9%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(x \cdot i - i \cdot \color{blue}{\left(k \cdot \frac{y5}{c}\right)}\right)\right) \]

   11. Simplified 66.9%

       \[\leadsto \color{blue}{\left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(x \cdot i - i \cdot \left(k \cdot \frac{y5}{c}\right)\right)\right)} \]

   if -6.7999999999999995e-179 < a < -1.75000000000000001e-258

   1. Initial program 18.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 46.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 55.5%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   if -2.60000000000000005e-303 < a < 6.89999999999999996e-242 or 7.00000000000000045e-200 < a < 9.0000000000000007e-155

   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 y0 around inf 57.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 57.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 57.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 57.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 57.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 57.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 57.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 57.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 57.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 54.1%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around 0 46.4%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 46.4%

         \[\leadsto \color{blue}{\left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right) \cdot -1} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      2. *-commutative 46.4%

         \[\leadsto \color{blue}{\left(\left(y0 \cdot \left(y2 \cdot y5\right)\right) \cdot k\right)} \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      3. *-commutative 46.4%

         \[\leadsto \left(\color{blue}{\left(\left(y2 \cdot y5\right) \cdot y0\right)} \cdot k\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      4. associate-*l* 50.8%

         \[\leadsto \left(\color{blue}{\left(y2 \cdot \left(y5 \cdot y0\right)\right)} \cdot k\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      5. *-commutative 50.8%

         \[\leadsto \left(\left(y2 \cdot \color{blue}{\left(y0 \cdot y5\right)}\right) \cdot k\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      6. associate-*r* 55.4%

         \[\leadsto \color{blue}{\left(y2 \cdot \left(\left(y0 \cdot y5\right) \cdot k\right)\right)} \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      7. *-commutative 55.4%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot \left(y0 \cdot y5\right)\right)}\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      8. associate-*r* 55.4%

         \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y0 \cdot y5\right)\right) \cdot -1\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      9. *-commutative 55.4%

         \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y0 \cdot y5\right)\right)\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      10. associate-*r* 55.4%

          \[\leadsto y2 \cdot \color{blue}{\left(\left(-1 \cdot k\right) \cdot \left(y0 \cdot y5\right)\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      11. neg-mul-1 55.4%

          \[\leadsto y2 \cdot \left(\color{blue}{\left(-k\right)} \cdot \left(y0 \cdot y5\right)\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      12. associate-*r* 55.3%

          \[\leadsto \color{blue}{\left(y2 \cdot \left(-k\right)\right) \cdot \left(y0 \cdot y5\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      13. *-commutative 55.3%

          \[\leadsto \color{blue}{\left(\left(-k\right) \cdot y2\right)} \cdot \left(y0 \cdot y5\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      14. distribute-lft-neg-in 55.3%

          \[\leadsto \color{blue}{\left(-k \cdot y2\right)} \cdot \left(y0 \cdot y5\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      15. *-commutative 55.3%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

      16. *-commutative 55.3%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \cdot j \]

      17. associate-*l* 50.8%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(y3 \cdot \left(y5 \cdot y0\right)\right)} \cdot j \]

      18. *-commutative 50.8%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \left(y3 \cdot \color{blue}{\left(y0 \cdot y5\right)}\right) \cdot j \]

      19. associate-*r* 46.5%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{y3 \cdot \left(\left(y0 \cdot y5\right) \cdot j\right)} \]

      20. *-commutative 46.5%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + y3 \cdot \color{blue}{\left(j \cdot \left(y0 \cdot y5\right)\right)} \]

      21. associate-*r* 46.5%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(y3 \cdot j\right) \cdot \left(y0 \cdot y5\right)} \]

      22. *-commutative 46.5%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(j \cdot y3\right)} \cdot \left(y0 \cdot y5\right) \]

   9. Simplified 62.8%

      \[\leadsto \color{blue}{y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   if 6.89999999999999996e-242 < a < 7.00000000000000045e-200

   1. Initial program 22.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 67.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 67.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 67.1%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 67.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 67.1%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 67.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 67.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 67.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 67.1%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 9.0000000000000007e-155 < a < 3.8000000000000001e-101

   1. Initial program 0.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 60.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 60.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 60.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 60.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 60.2%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 60.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if 3.8000000000000001e-101 < a < 2.2000000000000001e-91

   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 k around inf 66.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 66.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 66.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 66.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 66.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 66.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 66.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 66.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 66.7%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around inf 66.8%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]

   if 2.2000000000000001e-91 < a < 3.1e20

   1. Initial program 36.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 52.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 52.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 52.7%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 52.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 52.7%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 52.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 52.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 52.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 49.2%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in a around 0 52.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right) + y \cdot \left(-1 \cdot \left(c \cdot \left(i \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 3.1e20 < a < 3.0000000000000001e155

   1. Initial program 20.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in t around inf 54.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 54.2%

         \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right)\right)} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

      2. mul-1-neg 54.2%

         \[\leadsto t \cdot \left(\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-z \cdot \left(a \cdot b - c \cdot i\right)\right)}\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

      3. unsub-neg 54.2%

         \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) - z \cdot \left(a \cdot b - c \cdot i\right)\right)} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

      4. *-commutative 54.2%

         \[\leadsto t \cdot \left(\left(\color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot j} - z \cdot \left(a \cdot b - c \cdot i\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   5. Simplified 54.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(\left(b \cdot y4 - i \cdot y5\right) \cdot j - z \cdot \left(a \cdot b - c \cdot i\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if 3.0000000000000001e155 < a < 2.8000000000000001e159

   1. Initial program 100.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if 2.8000000000000001e159 < a

   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 y2 around inf 46.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around -inf 57.5%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 57.5%

         \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   6. Simplified 57.5%

      \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]
3. Recombined 14 regimes into one program.

4. Final simplification 59.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.45 \cdot 10^{+229}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq -1.06 \cdot 10^{+96}:\\ \;\;\;\;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}\;a \leq -1.65 \cdot 10^{+21}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -4.9 \cdot 10^{-144}:\\ \;\;\;\;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}\;a \leq -6.8 \cdot 10^{-179}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;a \leq -1.75 \cdot 10^{-258}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;a \leq -2.6 \cdot 10^{-303}:\\ \;\;\;\;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}\;a \leq 6.9 \cdot 10^{-242}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 7 \cdot 10^{-200}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 9 \cdot 10^{-155}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{-101}:\\ \;\;\;\;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}\;a \leq 2.2 \cdot 10^{-91}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 3.1 \cdot 10^{+20}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right) - y \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right) + c \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;a \leq 3 \cdot 10^{+155}:\\ \;\;\;\;t \cdot \left(\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{+159}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 30.2% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{if}\;y2 \leq -7.2 \cdot 10^{+227}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -6.2 \cdot 10^{+143}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -1.4 \cdot 10^{+95}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -6.7 \cdot 10^{+16}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -0.0017:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq -3.2 \cdot 10^{-17}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -8.8 \cdot 10^{-77}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -1.25 \cdot 10^{-96}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;y2 \leq -3.6 \cdot 10^{-134}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -5.5 \cdot 10^{-193}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -6.5 \cdot 10^{-195}:\\ \;\;\;\;i \cdot \left(k \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{-223}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.5 \cdot 10^{-132}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.35 \cdot 10^{+126}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 4.5 \cdot 10^{+181}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{+215}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 5.4 \cdot 10^{+230}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - 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
 (let* ((t_1 (* y1 (* y2 (- (* k y4) (* x a))))))
   (if (<= y2 -7.2e+227)
     (* t (* y2 (- (* a y5) (* c y4))))
     (if (<= y2 -6.2e+143)
       (* c (* y0 (- (* x y2) (* z y3))))
       (if (<= y2 -1.4e+95)
         (* y0 (* y2 (- (* x c) (* k y5))))
         (if (<= y2 -6.7e+16)
           t_1
           (if (<= y2 -0.0017)
             (* i (* x (- (* j y1) (* y c))))
             (if (<= y2 -3.2e-17)
               (* b (* y0 (- (* z k) (* x j))))
               (if (<= y2 -8.8e-77)
                 (* y2 (* a (- (* t y5) (* x y1))))
                 (if (<= y2 -1.25e-96)
                   (* (* y c) (- (* y3 y4) (* x i)))
                   (if (<= y2 -3.6e-134)
                     (* b (* t (- (* j y4) (* z a))))
                     (if (<= y2 -5.5e-193)
                       (* x (* y (- (* a b) (* c i))))
                       (if (<= y2 -6.5e-195)
                         (* i (* k (* z (- y1))))
                         (if (<= y2 4e-223)
                           (* b (* x (- (* y a) (* j y0))))
                           (if (<= y2 3.5e-132)
                             (* y2 (* y5 (- (* t a) (* k y0))))
                             (if (<= y2 1.35e+126)
                               (* k (* z (- (* b y0) (* i y1))))
                               (if (<= y2 4.5e+181)
                                 (* k (* y5 (- (* y i) (* y0 y2))))
                                 (if (<= y2 6.5e+215)
                                   t_1
                                   (if (<= y2 5.4e+230)
                                     (* a (* t (* y2 y5)))
                                     (*
                                      y2
                                      (*
                                       c
                                       (-
                                        (* x y0)
                                        (* 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 t_1 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y2 <= -7.2e+227) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y2 <= -6.2e+143) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -1.4e+95) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y2 <= -6.7e+16) {
		tmp = t_1;
	} else if (y2 <= -0.0017) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (y2 <= -3.2e-17) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= -8.8e-77) {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	} else if (y2 <= -1.25e-96) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (y2 <= -3.6e-134) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (y2 <= -5.5e-193) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y2 <= -6.5e-195) {
		tmp = i * (k * (z * -y1));
	} else if (y2 <= 4e-223) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y2 <= 3.5e-132) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (y2 <= 1.35e+126) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y2 <= 4.5e+181) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (y2 <= 6.5e+215) {
		tmp = t_1;
	} else if (y2 <= 5.4e+230) {
		tmp = a * (t * (y2 * y5));
	} else {
		tmp = y2 * (c * ((x * y0) - (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) :: t_1
    real(8) :: tmp
    t_1 = y1 * (y2 * ((k * y4) - (x * a)))
    if (y2 <= (-7.2d+227)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (y2 <= (-6.2d+143)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= (-1.4d+95)) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y2 <= (-6.7d+16)) then
        tmp = t_1
    else if (y2 <= (-0.0017d0)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (y2 <= (-3.2d-17)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y2 <= (-8.8d-77)) then
        tmp = y2 * (a * ((t * y5) - (x * y1)))
    else if (y2 <= (-1.25d-96)) then
        tmp = (y * c) * ((y3 * y4) - (x * i))
    else if (y2 <= (-3.6d-134)) then
        tmp = b * (t * ((j * y4) - (z * a)))
    else if (y2 <= (-5.5d-193)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y2 <= (-6.5d-195)) then
        tmp = i * (k * (z * -y1))
    else if (y2 <= 4d-223) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y2 <= 3.5d-132) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (y2 <= 1.35d+126) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y2 <= 4.5d+181) then
        tmp = k * (y5 * ((y * i) - (y0 * y2)))
    else if (y2 <= 6.5d+215) then
        tmp = t_1
    else if (y2 <= 5.4d+230) then
        tmp = a * (t * (y2 * y5))
    else
        tmp = y2 * (c * ((x * y0) - (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 t_1 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y2 <= -7.2e+227) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y2 <= -6.2e+143) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -1.4e+95) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y2 <= -6.7e+16) {
		tmp = t_1;
	} else if (y2 <= -0.0017) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (y2 <= -3.2e-17) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y2 <= -8.8e-77) {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	} else if (y2 <= -1.25e-96) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (y2 <= -3.6e-134) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (y2 <= -5.5e-193) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y2 <= -6.5e-195) {
		tmp = i * (k * (z * -y1));
	} else if (y2 <= 4e-223) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y2 <= 3.5e-132) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (y2 <= 1.35e+126) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y2 <= 4.5e+181) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (y2 <= 6.5e+215) {
		tmp = t_1;
	} else if (y2 <= 5.4e+230) {
		tmp = a * (t * (y2 * y5));
	} else {
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y1 * (y2 * ((k * y4) - (x * a)))
	tmp = 0
	if y2 <= -7.2e+227:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif y2 <= -6.2e+143:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= -1.4e+95:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y2 <= -6.7e+16:
		tmp = t_1
	elif y2 <= -0.0017:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif y2 <= -3.2e-17:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y2 <= -8.8e-77:
		tmp = y2 * (a * ((t * y5) - (x * y1)))
	elif y2 <= -1.25e-96:
		tmp = (y * c) * ((y3 * y4) - (x * i))
	elif y2 <= -3.6e-134:
		tmp = b * (t * ((j * y4) - (z * a)))
	elif y2 <= -5.5e-193:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y2 <= -6.5e-195:
		tmp = i * (k * (z * -y1))
	elif y2 <= 4e-223:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y2 <= 3.5e-132:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif y2 <= 1.35e+126:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y2 <= 4.5e+181:
		tmp = k * (y5 * ((y * i) - (y0 * y2)))
	elif y2 <= 6.5e+215:
		tmp = t_1
	elif y2 <= 5.4e+230:
		tmp = a * (t * (y2 * y5))
	else:
		tmp = y2 * (c * ((x * y0) - (t * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))))
	tmp = 0.0
	if (y2 <= -7.2e+227)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (y2 <= -6.2e+143)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= -1.4e+95)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y2 <= -6.7e+16)
		tmp = t_1;
	elseif (y2 <= -0.0017)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (y2 <= -3.2e-17)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y2 <= -8.8e-77)
		tmp = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))));
	elseif (y2 <= -1.25e-96)
		tmp = Float64(Float64(y * c) * Float64(Float64(y3 * y4) - Float64(x * i)));
	elseif (y2 <= -3.6e-134)
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	elseif (y2 <= -5.5e-193)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y2 <= -6.5e-195)
		tmp = Float64(i * Float64(k * Float64(z * Float64(-y1))));
	elseif (y2 <= 4e-223)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y2 <= 3.5e-132)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (y2 <= 1.35e+126)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y2 <= 4.5e+181)
		tmp = Float64(k * Float64(y5 * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (y2 <= 6.5e+215)
		tmp = t_1;
	elseif (y2 <= 5.4e+230)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	else
		tmp = Float64(y2 * Float64(c * Float64(Float64(x * y0) - 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)
	t_1 = y1 * (y2 * ((k * y4) - (x * a)));
	tmp = 0.0;
	if (y2 <= -7.2e+227)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (y2 <= -6.2e+143)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= -1.4e+95)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y2 <= -6.7e+16)
		tmp = t_1;
	elseif (y2 <= -0.0017)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (y2 <= -3.2e-17)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y2 <= -8.8e-77)
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	elseif (y2 <= -1.25e-96)
		tmp = (y * c) * ((y3 * y4) - (x * i));
	elseif (y2 <= -3.6e-134)
		tmp = b * (t * ((j * y4) - (z * a)));
	elseif (y2 <= -5.5e-193)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y2 <= -6.5e-195)
		tmp = i * (k * (z * -y1));
	elseif (y2 <= 4e-223)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y2 <= 3.5e-132)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (y2 <= 1.35e+126)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y2 <= 4.5e+181)
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	elseif (y2 <= 6.5e+215)
		tmp = t_1;
	elseif (y2 <= 5.4e+230)
		tmp = a * (t * (y2 * y5));
	else
		tmp = y2 * (c * ((x * y0) - (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_] := Block[{t$95$1 = N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -7.2e+227], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6.2e+143], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.4e+95], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6.7e+16], t$95$1, If[LessEqual[y2, -0.0017], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.2e-17], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -8.8e-77], N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.25e-96], N[(N[(y * c), $MachinePrecision] * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.6e-134], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.5e-193], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6.5e-195], N[(i * N[(k * N[(z * (-y1)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4e-223], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.5e-132], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.35e+126], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4.5e+181], N[(k * N[(y5 * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.5e+215], t$95$1, If[LessEqual[y2, 5.4e+230], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(c * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 17 regimes

2. if y2 < -7.19999999999999983e227

   1. Initial program 5.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 55.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 65.4%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -7.19999999999999983e227 < y2 < -6.1999999999999998e143

   1. Initial program 6.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 50.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 50.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 50.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 50.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 50.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 50.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 50.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 50.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in c around inf 69.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 69.2%

         \[\leadsto c \cdot \color{blue}{\left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   8. Simplified 69.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   if -6.1999999999999998e143 < y2 < -1.3999999999999999e95

   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 y2 around inf 40.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y0 around inf 80.9%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 80.9%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 80.9%

         \[\leadsto y0 \cdot \left(y2 \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      3. unsub-neg 80.9%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right) \]

   6. Simplified 80.9%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if -1.3999999999999999e95 < y2 < -6.7e16 or 4.5e181 < y2 < 6.4999999999999997e215

   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 y2 around inf 59.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y1 around inf 56.9%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 56.9%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 56.9%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 56.9%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 56.9%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   if -6.7e16 < y2 < -0.00169999999999999991

   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 67.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in i around -inf 67.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 67.2%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right)} \]

      2. neg-mul-1 67.2%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right) \]

   6. Simplified 67.2%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right)} \]

   if -0.00169999999999999991 < y2 < -3.2000000000000002e-17

   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 b around inf 60.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 61.7%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -3.2000000000000002e-17 < y2 < -8.80000000000000028e-77

   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 y2 around inf 55.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around -inf 46.4%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 46.4%

         \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   6. Simplified 46.4%

      \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   if -8.80000000000000028e-77 < y2 < -1.24999999999999999e-96

   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 y around inf 100.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 100.0%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 100.0%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 100.0%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in c around inf 100.0%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 100.0%

         \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right)} \]

      2. +-commutative 100.0%

         \[\leadsto \left(c \cdot y\right) \cdot \color{blue}{\left(y3 \cdot y4 + -1 \cdot \left(i \cdot x\right)\right)} \]

      3. mul-1-neg 100.0%

         \[\leadsto \left(c \cdot y\right) \cdot \left(y3 \cdot y4 + \color{blue}{\left(-i \cdot x\right)}\right) \]

      4. unsub-neg 100.0%

         \[\leadsto \left(c \cdot y\right) \cdot \color{blue}{\left(y3 \cdot y4 - i \cdot x\right)} \]

      5. *-commutative 100.0%

         \[\leadsto \left(c \cdot y\right) \cdot \left(y3 \cdot y4 - \color{blue}{x \cdot i}\right) \]

   8. Simplified 100.0%

      \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)} \]

   if -1.24999999999999999e-96 < y2 < -3.5999999999999999e-134

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 29.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in t around inf 57.7%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 57.7%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right) \]

      2. mul-1-neg 57.7%

         \[\leadsto b \cdot \left(t \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right) \]

      3. unsub-neg 57.7%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right) \]

   6. Simplified 57.7%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(j \cdot y4 - a \cdot z\right)\right)} \]

   if -3.5999999999999999e-134 < y2 < -5.50000000000000014e-193

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 39.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y around inf 39.2%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if -5.50000000000000014e-193 < y2 < -6.50000000000000004e-195

   1. Initial program 100.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 98.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 98.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 98.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 98.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 98.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 98.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 98.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 98.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 10.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around 0 100.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 100.0%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. neg-mul-1 100.0%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(k \cdot \left(y1 \cdot z\right)\right) \]

      3. *-commutative 100.0%

         \[\leadsto \left(-i\right) \cdot \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \]

   9. Simplified 100.0%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(k \cdot \left(z \cdot y1\right)\right)} \]

   if -6.50000000000000004e-195 < y2 < 3.9999999999999999e-223

   1. Initial program 46.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 57.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 47.4%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if 3.9999999999999999e-223 < y2 < 3.5e-132

   1. Initial program 40.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 20.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around -inf 50.9%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 50.9%

         \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   6. Simplified 50.9%

      \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   if 3.5e-132 < y2 < 1.35000000000000001e126

   1. Initial program 31.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 43.1%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.1%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 43.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 43.1%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 43.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 43.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 43.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 43.1%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 47.3%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if 1.35000000000000001e126 < y2 < 4.5e181

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 36.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 36.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 36.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 36.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 36.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 36.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 36.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 36.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y5 around -inf 55.0%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y5 \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 55.0%

         \[\leadsto \color{blue}{-k \cdot \left(y5 \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Simplified 55.0%

      \[\leadsto \color{blue}{-k \cdot \left(y5 \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if 6.4999999999999997e215 < y2 < 5.40000000000000006e230

   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 y2 around inf 50.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 100.0%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 100.0%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 100.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if 5.40000000000000006e230 < y2

   1. Initial program 19.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 73.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 61.9%

      \[\leadsto y2 \cdot \color{blue}{\left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
3. Recombined 17 regimes into one program.

4. Final simplification 56.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -7.2 \cdot 10^{+227}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -6.2 \cdot 10^{+143}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -1.4 \cdot 10^{+95}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -6.7 \cdot 10^{+16}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -0.0017:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq -3.2 \cdot 10^{-17}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -8.8 \cdot 10^{-77}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -1.25 \cdot 10^{-96}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;y2 \leq -3.6 \cdot 10^{-134}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -5.5 \cdot 10^{-193}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq -6.5 \cdot 10^{-195}:\\ \;\;\;\;i \cdot \left(k \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{-223}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.5 \cdot 10^{-132}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.35 \cdot 10^{+126}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 4.5 \cdot 10^{+181}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 6.5 \cdot 10^{+215}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq 5.4 \cdot 10^{+230}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 34.8% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\\ t_2 := x \cdot \left(i \cdot y1 - b \cdot y0\right)\\ t_3 := z \cdot t - x \cdot y\\ t_4 := i \cdot \left(c \cdot t\_3 + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ t_5 := 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{if}\;y5 \leq -3.55 \cdot 10^{+280}:\\ \;\;\;\;c \cdot \left(\left(t\_1 + i \cdot t\_3\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -1.7 \cdot 10^{+192}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{elif}\;y5 \leq -2.55 \cdot 10^{+160}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -4.4 \cdot 10^{-65}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq -8 \cdot 10^{-150}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{-188}:\\ \;\;\;\;j \cdot t\_2\\ \mathbf{elif}\;y5 \leq 1.2 \cdot 10^{-304}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 1.6 \cdot 10^{-267}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 2.15 \cdot 10^{-252}:\\ \;\;\;\;c \cdot t\_1\\ \mathbf{elif}\;y5 \leq 9.5 \cdot 10^{-119}:\\ \;\;\;\;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) + t\_2\right)\\ \mathbf{elif}\;y5 \leq 5.2 \cdot 10^{-90}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y5 \leq 4.1 \cdot 10^{-86}:\\ \;\;\;\;y2 \cdot \left(\left(t \cdot y4\right) \cdot \left(-c\right)\right)\\ \mathbf{elif}\;y5 \leq 1.42 \cdot 10^{-51}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y5 \leq 7.5 \cdot 10^{+50}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y0 (- (* x y2) (* z y3))))
        (t_2 (* x (- (* i y1) (* b y0))))
        (t_3 (- (* z t) (* x y)))
        (t_4 (* i (+ (* c t_3) (* y1 (- (* x j) (* z k))))))
        (t_5
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j)))))))
   (if (<= y5 -3.55e+280)
     (* c (+ (+ t_1 (* i t_3)) (* y4 (- (* y y3) (* t y2)))))
     (if (<= y5 -1.7e+192)
       (* (* j y0) (- (* y3 y5) (* x b)))
       (if (<= y5 -2.55e+160)
         (* t (* y2 (- (* a y5) (* c y4))))
         (if (<= y5 -4.4e-65)
           t_5
           (if (<= y5 -8e-150)
             t_4
             (if (<= y5 -5.5e-188)
               (* j t_2)
               (if (<= y5 1.2e-304)
                 (*
                  y
                  (+ (* x (- (* a b) (* c i))) (* k (- (* i y5) (* b y4)))))
                 (if (<= y5 1.6e-267)
                   (* k (* z (- (* b y0) (* i y1))))
                   (if (<= y5 2.15e-252)
                     (* c t_1)
                     (if (<= y5 9.5e-119)
                       (*
                        j
                        (+
                         (+
                          (* t (- (* b y4) (* i y5)))
                          (* y3 (- (* y0 y5) (* y1 y4))))
                         t_2))
                       (if (<= y5 5.2e-90)
                         t_4
                         (if (<= y5 4.1e-86)
                           (* y2 (* (* t y4) (- c)))
                           (if (<= y5 1.42e-51)
                             t_5
                             (if (<= y5 7.5e+50)
                               (* y0 (* y2 (- (* x c) (* k y5))))
                               (*
                                y2
                                (* a (- (* t y5) (* x y1))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * ((x * y2) - (z * y3));
	double t_2 = x * ((i * y1) - (b * y0));
	double t_3 = (z * t) - (x * y);
	double t_4 = i * ((c * t_3) + (y1 * ((x * j) - (z * k))));
	double t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (y5 <= -3.55e+280) {
		tmp = c * ((t_1 + (i * t_3)) + (y4 * ((y * y3) - (t * y2))));
	} else if (y5 <= -1.7e+192) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else if (y5 <= -2.55e+160) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y5 <= -4.4e-65) {
		tmp = t_5;
	} else if (y5 <= -8e-150) {
		tmp = t_4;
	} else if (y5 <= -5.5e-188) {
		tmp = j * t_2;
	} else if (y5 <= 1.2e-304) {
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))));
	} else if (y5 <= 1.6e-267) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= 2.15e-252) {
		tmp = c * t_1;
	} else if (y5 <= 9.5e-119) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_2);
	} else if (y5 <= 5.2e-90) {
		tmp = t_4;
	} else if (y5 <= 4.1e-86) {
		tmp = y2 * ((t * y4) * -c);
	} else if (y5 <= 1.42e-51) {
		tmp = t_5;
	} else if (y5 <= 7.5e+50) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = y0 * ((x * y2) - (z * y3))
    t_2 = x * ((i * y1) - (b * y0))
    t_3 = (z * t) - (x * y)
    t_4 = i * ((c * t_3) + (y1 * ((x * j) - (z * k))))
    t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    if (y5 <= (-3.55d+280)) then
        tmp = c * ((t_1 + (i * t_3)) + (y4 * ((y * y3) - (t * y2))))
    else if (y5 <= (-1.7d+192)) then
        tmp = (j * y0) * ((y3 * y5) - (x * b))
    else if (y5 <= (-2.55d+160)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (y5 <= (-4.4d-65)) then
        tmp = t_5
    else if (y5 <= (-8d-150)) then
        tmp = t_4
    else if (y5 <= (-5.5d-188)) then
        tmp = j * t_2
    else if (y5 <= 1.2d-304) then
        tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))))
    else if (y5 <= 1.6d-267) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y5 <= 2.15d-252) then
        tmp = c * t_1
    else if (y5 <= 9.5d-119) then
        tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_2)
    else if (y5 <= 5.2d-90) then
        tmp = t_4
    else if (y5 <= 4.1d-86) then
        tmp = y2 * ((t * y4) * -c)
    else if (y5 <= 1.42d-51) then
        tmp = t_5
    else if (y5 <= 7.5d+50) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else
        tmp = y2 * (a * ((t * y5) - (x * y1)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * ((x * y2) - (z * y3));
	double t_2 = x * ((i * y1) - (b * y0));
	double t_3 = (z * t) - (x * y);
	double t_4 = i * ((c * t_3) + (y1 * ((x * j) - (z * k))));
	double t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (y5 <= -3.55e+280) {
		tmp = c * ((t_1 + (i * t_3)) + (y4 * ((y * y3) - (t * y2))));
	} else if (y5 <= -1.7e+192) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else if (y5 <= -2.55e+160) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y5 <= -4.4e-65) {
		tmp = t_5;
	} else if (y5 <= -8e-150) {
		tmp = t_4;
	} else if (y5 <= -5.5e-188) {
		tmp = j * t_2;
	} else if (y5 <= 1.2e-304) {
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))));
	} else if (y5 <= 1.6e-267) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= 2.15e-252) {
		tmp = c * t_1;
	} else if (y5 <= 9.5e-119) {
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_2);
	} else if (y5 <= 5.2e-90) {
		tmp = t_4;
	} else if (y5 <= 4.1e-86) {
		tmp = y2 * ((t * y4) * -c);
	} else if (y5 <= 1.42e-51) {
		tmp = t_5;
	} else if (y5 <= 7.5e+50) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * ((x * y2) - (z * y3))
	t_2 = x * ((i * y1) - (b * y0))
	t_3 = (z * t) - (x * y)
	t_4 = i * ((c * t_3) + (y1 * ((x * j) - (z * k))))
	t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	tmp = 0
	if y5 <= -3.55e+280:
		tmp = c * ((t_1 + (i * t_3)) + (y4 * ((y * y3) - (t * y2))))
	elif y5 <= -1.7e+192:
		tmp = (j * y0) * ((y3 * y5) - (x * b))
	elif y5 <= -2.55e+160:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif y5 <= -4.4e-65:
		tmp = t_5
	elif y5 <= -8e-150:
		tmp = t_4
	elif y5 <= -5.5e-188:
		tmp = j * t_2
	elif y5 <= 1.2e-304:
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))))
	elif y5 <= 1.6e-267:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y5 <= 2.15e-252:
		tmp = c * t_1
	elif y5 <= 9.5e-119:
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_2)
	elif y5 <= 5.2e-90:
		tmp = t_4
	elif y5 <= 4.1e-86:
		tmp = y2 * ((t * y4) * -c)
	elif y5 <= 1.42e-51:
		tmp = t_5
	elif y5 <= 7.5e+50:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	else:
		tmp = y2 * (a * ((t * y5) - (x * y1)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3)))
	t_2 = Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))
	t_3 = Float64(Float64(z * t) - Float64(x * y))
	t_4 = Float64(i * Float64(Float64(c * t_3) + Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))))
	t_5 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (y5 <= -3.55e+280)
		tmp = Float64(c * Float64(Float64(t_1 + Float64(i * t_3)) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y5 <= -1.7e+192)
		tmp = Float64(Float64(j * y0) * Float64(Float64(y3 * y5) - Float64(x * b)));
	elseif (y5 <= -2.55e+160)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (y5 <= -4.4e-65)
		tmp = t_5;
	elseif (y5 <= -8e-150)
		tmp = t_4;
	elseif (y5 <= -5.5e-188)
		tmp = Float64(j * t_2);
	elseif (y5 <= 1.2e-304)
		tmp = Float64(y * Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + Float64(k * Float64(Float64(i * y5) - Float64(b * y4)))));
	elseif (y5 <= 1.6e-267)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y5 <= 2.15e-252)
		tmp = Float64(c * t_1);
	elseif (y5 <= 9.5e-119)
		tmp = Float64(j * Float64(Float64(Float64(t * Float64(Float64(b * y4) - Float64(i * y5))) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + t_2));
	elseif (y5 <= 5.2e-90)
		tmp = t_4;
	elseif (y5 <= 4.1e-86)
		tmp = Float64(y2 * Float64(Float64(t * y4) * Float64(-c)));
	elseif (y5 <= 1.42e-51)
		tmp = t_5;
	elseif (y5 <= 7.5e+50)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	else
		tmp = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * ((x * y2) - (z * y3));
	t_2 = x * ((i * y1) - (b * y0));
	t_3 = (z * t) - (x * y);
	t_4 = i * ((c * t_3) + (y1 * ((x * j) - (z * k))));
	t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	tmp = 0.0;
	if (y5 <= -3.55e+280)
		tmp = c * ((t_1 + (i * t_3)) + (y4 * ((y * y3) - (t * y2))));
	elseif (y5 <= -1.7e+192)
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	elseif (y5 <= -2.55e+160)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (y5 <= -4.4e-65)
		tmp = t_5;
	elseif (y5 <= -8e-150)
		tmp = t_4;
	elseif (y5 <= -5.5e-188)
		tmp = j * t_2;
	elseif (y5 <= 1.2e-304)
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))));
	elseif (y5 <= 1.6e-267)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y5 <= 2.15e-252)
		tmp = c * t_1;
	elseif (y5 <= 9.5e-119)
		tmp = j * (((t * ((b * y4) - (i * y5))) + (y3 * ((y0 * y5) - (y1 * y4)))) + t_2);
	elseif (y5 <= 5.2e-90)
		tmp = t_4;
	elseif (y5 <= 4.1e-86)
		tmp = y2 * ((t * y4) * -c);
	elseif (y5 <= 1.42e-51)
		tmp = t_5;
	elseif (y5 <= 7.5e+50)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	else
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(i * N[(N[(c * t$95$3), $MachinePrecision] + N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = 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 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -3.55e+280], N[(c * N[(N[(t$95$1 + N[(i * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.7e+192], N[(N[(j * y0), $MachinePrecision] * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -2.55e+160], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -4.4e-65], t$95$5, If[LessEqual[y5, -8e-150], t$95$4, If[LessEqual[y5, -5.5e-188], N[(j * t$95$2), $MachinePrecision], If[LessEqual[y5, 1.2e-304], N[(y * N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.6e-267], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.15e-252], N[(c * t$95$1), $MachinePrecision], If[LessEqual[y5, 9.5e-119], 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] + t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5.2e-90], t$95$4, If[LessEqual[y5, 4.1e-86], N[(y2 * N[(N[(t * y4), $MachinePrecision] * (-c)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.42e-51], t$95$5, If[LessEqual[y5, 7.5e+50], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if y5 < -3.55000000000000004e280

   1. Initial program 49.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in c around inf 84.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(-1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right) + y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 84.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(i \cdot \left(x \cdot y - t \cdot z\right)\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      2. mul-1-neg 84.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-i \cdot \left(x \cdot y - t \cdot z\right)\right)}\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      3. unsub-neg 84.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right)} - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      4. *-commutative 84.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      5. *-commutative 84.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(x \cdot y - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      6. *-commutative 84.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y \cdot y3\right)\right) \]

      7. *-commutative 84.1%

         \[\leadsto c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - \color{blue}{y3 \cdot y}\right)\right) \]

   5. Simplified 84.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(y0 \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(y \cdot x - t \cdot z\right)\right) - y4 \cdot \left(t \cdot y2 - y3 \cdot y\right)\right)} \]

   if -3.55000000000000004e280 < y5 < -1.69999999999999998e192

   1. Initial program 14.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 43.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 43.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 43.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 43.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 43.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 43.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 43.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 43.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in j around -inf 58.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 58.9%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)} \]

      2. +-commutative 58.9%

         \[\leadsto \left(j \cdot y0\right) \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)} \]

      3. mul-1-neg 58.9%

         \[\leadsto \left(j \cdot y0\right) \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right) \]

      4. unsub-neg 58.9%

         \[\leadsto \left(j \cdot y0\right) \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)} \]

      5. *-commutative 58.9%

         \[\leadsto \left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right) \]

   8. Simplified 58.9%

      \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)} \]

   if -1.69999999999999998e192 < y5 < -2.5500000000000001e160

   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 y2 around inf 71.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 86.5%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -2.5500000000000001e160 < y5 < -4.40000000000000042e-65 or 4.09999999999999979e-86 < y5 < 1.42000000000000013e-51

   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 b around inf 52.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -4.40000000000000042e-65 < y5 < -8.00000000000000005e-150 or 9.5000000000000002e-119 < y5 < 5.2000000000000001e-90

   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 i around -inf 60.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 70.6%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   if -8.00000000000000005e-150 < y5 < -5.5000000000000002e-188

   1. Initial program 18.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 29.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 47.2%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   if -5.5000000000000002e-188 < y5 < 1.2e-304

   1. Initial program 15.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 58.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 58.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 58.5%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 58.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 58.5%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 58.5%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 58.5%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 58.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 58.5%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 1.2e-304 < y5 < 1.59999999999999993e-267

   1. Initial program 38.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 61.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 61.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 61.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 61.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 61.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 61.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 61.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 61.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 47.2%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if 1.59999999999999993e-267 < y5 < 2.14999999999999996e-252

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 50.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 50.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 50.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 50.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 50.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 50.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 50.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 50.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in c around inf 75.8%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 75.8%

         \[\leadsto c \cdot \color{blue}{\left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   8. Simplified 75.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   if 2.14999999999999996e-252 < y5 < 9.5000000000000002e-119

   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 58.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 58.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 58.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 58.0%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 58.0%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 58.0%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if 5.2000000000000001e-90 < y5 < 4.09999999999999979e-86

   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 y2 around inf 100.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 100.0%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around 0 100.0%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(t \cdot y4\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 100.0%

         \[\leadsto y2 \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(t \cdot y4\right)\right)} \]

      2. neg-mul-1 100.0%

         \[\leadsto y2 \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(t \cdot y4\right)\right) \]

      3. *-commutative 100.0%

         \[\leadsto y2 \cdot \left(\left(-c\right) \cdot \color{blue}{\left(y4 \cdot t\right)}\right) \]

   7. Simplified 100.0%

      \[\leadsto y2 \cdot \color{blue}{\left(\left(-c\right) \cdot \left(y4 \cdot t\right)\right)} \]

   if 1.42000000000000013e-51 < y5 < 7.4999999999999999e50

   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 y2 around inf 59.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y0 around inf 71.0%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 71.0%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 71.0%

         \[\leadsto y0 \cdot \left(y2 \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      3. unsub-neg 71.0%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right) \]

   6. Simplified 71.0%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if 7.4999999999999999e50 < y5

   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 y2 around inf 42.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around -inf 51.0%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 51.0%

         \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   6. Simplified 51.0%

      \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 58.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -3.55 \cdot 10^{+280}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq -1.7 \cdot 10^{+192}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{elif}\;y5 \leq -2.55 \cdot 10^{+160}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -4.4 \cdot 10^{-65}:\\ \;\;\;\;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}\;y5 \leq -8 \cdot 10^{-150}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -5.5 \cdot 10^{-188}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.2 \cdot 10^{-304}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 1.6 \cdot 10^{-267}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 2.15 \cdot 10^{-252}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y5 \leq 9.5 \cdot 10^{-119}:\\ \;\;\;\;j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 5.2 \cdot 10^{-90}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 4.1 \cdot 10^{-86}:\\ \;\;\;\;y2 \cdot \left(\left(t \cdot y4\right) \cdot \left(-c\right)\right)\\ \mathbf{elif}\;y5 \leq 1.42 \cdot 10^{-51}:\\ \;\;\;\;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}\;y5 \leq 7.5 \cdot 10^{+50}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 31.3% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;b \leq -1.02 \cdot 10^{+266}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -2.9 \cdot 10^{+125}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -170000000000:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -3.15 \cdot 10^{-103}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;b \leq -2 \cdot 10^{-121}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -8.5 \cdot 10^{-167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq -6.2 \cdot 10^{-227}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq -1.75 \cdot 10^{-273}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq -1.3 \cdot 10^{-282}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -1.2 \cdot 10^{-283}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot a\right) \cdot \left(-y2\right)\right)\\ \mathbf{elif}\;b \leq 1.6 \cdot 10^{-306}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 1.8 \cdot 10^{-266}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 4.2 \cdot 10^{-243}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;b \leq 2.95 \cdot 10^{-214}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;b \leq 1.02 \cdot 10^{-53}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 1.02 \cdot 10^{+61}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \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
 (if (<= b -1.02e+266)
   (* x (* y0 (- (* c y2) (* b j))))
   (if (<= b -2.9e+125)
     (* b (* x (- (* y a) (* j y0))))
     (if (<= b -170000000000.0)
       (* j (* x (- (* i y1) (* b y0))))
       (if (<= b -3.15e-103)
         (* (* y c) (- (* y3 y4) (* x i)))
         (if (<= b -2e-121)
           (* c (* y0 (- (* x y2) (* z y3))))
           (if (<= b -8.5e-167)
             (* j (* x (* i y1)))
             (if (<= b -6.2e-227)
               (* y2 (* c (- (* x y0) (* t y4))))
               (if (<= b -1.75e-273)
                 (* t (* y2 (- (* a y5) (* c y4))))
                 (if (<= b -1.3e-282)
                   (* y5 (* i (- (* y k) (* t j))))
                   (if (<= b -1.2e-283)
                     (* y1 (* (* x a) (- y2)))
                     (if (<= b 1.6e-306)
                       (* i (* k (- (* y y5) (* z y1))))
                       (if (<= b 1.8e-266)
                         (* y0 (* y2 (- (* x c) (* k y5))))
                         (if (<= b 4.2e-243)
                           (* y0 (* y3 (- (* j y5) (* z c))))
                           (if (<= b 2.95e-214)
                             (* b (* t (- (* j y4) (* z a))))
                             (if (<= b 1.02e-53)
                               (* y2 (* y5 (- (* t a) (* k y0))))
                               (if (<= b 1.02e+61)
                                 (* k (* y1 (* y4 (- y2 (/ (* z i) y4)))))
                                 (*
                                  b
                                  (* y0 (- (* z k) (* x 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 tmp;
	if (b <= -1.02e+266) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (b <= -2.9e+125) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (b <= -170000000000.0) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (b <= -3.15e-103) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (b <= -2e-121) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= -8.5e-167) {
		tmp = j * (x * (i * y1));
	} else if (b <= -6.2e-227) {
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	} else if (b <= -1.75e-273) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (b <= -1.3e-282) {
		tmp = y5 * (i * ((y * k) - (t * j)));
	} else if (b <= -1.2e-283) {
		tmp = y1 * ((x * a) * -y2);
	} else if (b <= 1.6e-306) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (b <= 1.8e-266) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (b <= 4.2e-243) {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	} else if (b <= 2.95e-214) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (b <= 1.02e-53) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (b <= 1.02e+61) {
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	} else {
		tmp = b * (y0 * ((z * k) - (x * 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) :: tmp
    if (b <= (-1.02d+266)) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else if (b <= (-2.9d+125)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (b <= (-170000000000.0d0)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (b <= (-3.15d-103)) then
        tmp = (y * c) * ((y3 * y4) - (x * i))
    else if (b <= (-2d-121)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (b <= (-8.5d-167)) then
        tmp = j * (x * (i * y1))
    else if (b <= (-6.2d-227)) then
        tmp = y2 * (c * ((x * y0) - (t * y4)))
    else if (b <= (-1.75d-273)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (b <= (-1.3d-282)) then
        tmp = y5 * (i * ((y * k) - (t * j)))
    else if (b <= (-1.2d-283)) then
        tmp = y1 * ((x * a) * -y2)
    else if (b <= 1.6d-306) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (b <= 1.8d-266) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (b <= 4.2d-243) then
        tmp = y0 * (y3 * ((j * y5) - (z * c)))
    else if (b <= 2.95d-214) then
        tmp = b * (t * ((j * y4) - (z * a)))
    else if (b <= 1.02d-53) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (b <= 1.02d+61) then
        tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))))
    else
        tmp = b * (y0 * ((z * k) - (x * 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 tmp;
	if (b <= -1.02e+266) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (b <= -2.9e+125) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (b <= -170000000000.0) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (b <= -3.15e-103) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (b <= -2e-121) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= -8.5e-167) {
		tmp = j * (x * (i * y1));
	} else if (b <= -6.2e-227) {
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	} else if (b <= -1.75e-273) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (b <= -1.3e-282) {
		tmp = y5 * (i * ((y * k) - (t * j)));
	} else if (b <= -1.2e-283) {
		tmp = y1 * ((x * a) * -y2);
	} else if (b <= 1.6e-306) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (b <= 1.8e-266) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (b <= 4.2e-243) {
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	} else if (b <= 2.95e-214) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (b <= 1.02e-53) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (b <= 1.02e+61) {
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	} else {
		tmp = b * (y0 * ((z * k) - (x * j)));
	}
	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 <= -1.02e+266:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	elif b <= -2.9e+125:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif b <= -170000000000.0:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif b <= -3.15e-103:
		tmp = (y * c) * ((y3 * y4) - (x * i))
	elif b <= -2e-121:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif b <= -8.5e-167:
		tmp = j * (x * (i * y1))
	elif b <= -6.2e-227:
		tmp = y2 * (c * ((x * y0) - (t * y4)))
	elif b <= -1.75e-273:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif b <= -1.3e-282:
		tmp = y5 * (i * ((y * k) - (t * j)))
	elif b <= -1.2e-283:
		tmp = y1 * ((x * a) * -y2)
	elif b <= 1.6e-306:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif b <= 1.8e-266:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif b <= 4.2e-243:
		tmp = y0 * (y3 * ((j * y5) - (z * c)))
	elif b <= 2.95e-214:
		tmp = b * (t * ((j * y4) - (z * a)))
	elif b <= 1.02e-53:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif b <= 1.02e+61:
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))))
	else:
		tmp = b * (y0 * ((z * k) - (x * j)))
	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 <= -1.02e+266)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (b <= -2.9e+125)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (b <= -170000000000.0)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (b <= -3.15e-103)
		tmp = Float64(Float64(y * c) * Float64(Float64(y3 * y4) - Float64(x * i)));
	elseif (b <= -2e-121)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (b <= -8.5e-167)
		tmp = Float64(j * Float64(x * Float64(i * y1)));
	elseif (b <= -6.2e-227)
		tmp = Float64(y2 * Float64(c * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (b <= -1.75e-273)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (b <= -1.3e-282)
		tmp = Float64(y5 * Float64(i * Float64(Float64(y * k) - Float64(t * j))));
	elseif (b <= -1.2e-283)
		tmp = Float64(y1 * Float64(Float64(x * a) * Float64(-y2)));
	elseif (b <= 1.6e-306)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (b <= 1.8e-266)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (b <= 4.2e-243)
		tmp = Float64(y0 * Float64(y3 * Float64(Float64(j * y5) - Float64(z * c))));
	elseif (b <= 2.95e-214)
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	elseif (b <= 1.02e-53)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (b <= 1.02e+61)
		tmp = Float64(k * Float64(y1 * Float64(y4 * Float64(y2 - Float64(Float64(z * i) / y4)))));
	else
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * 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)
	tmp = 0.0;
	if (b <= -1.02e+266)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	elseif (b <= -2.9e+125)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (b <= -170000000000.0)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (b <= -3.15e-103)
		tmp = (y * c) * ((y3 * y4) - (x * i));
	elseif (b <= -2e-121)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (b <= -8.5e-167)
		tmp = j * (x * (i * y1));
	elseif (b <= -6.2e-227)
		tmp = y2 * (c * ((x * y0) - (t * y4)));
	elseif (b <= -1.75e-273)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (b <= -1.3e-282)
		tmp = y5 * (i * ((y * k) - (t * j)));
	elseif (b <= -1.2e-283)
		tmp = y1 * ((x * a) * -y2);
	elseif (b <= 1.6e-306)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (b <= 1.8e-266)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (b <= 4.2e-243)
		tmp = y0 * (y3 * ((j * y5) - (z * c)));
	elseif (b <= 2.95e-214)
		tmp = b * (t * ((j * y4) - (z * a)));
	elseif (b <= 1.02e-53)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (b <= 1.02e+61)
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	else
		tmp = b * (y0 * ((z * k) - (x * j)));
	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, -1.02e+266], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2.9e+125], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -170000000000.0], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -3.15e-103], N[(N[(y * c), $MachinePrecision] * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -2e-121], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -8.5e-167], N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -6.2e-227], N[(y2 * N[(c * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.75e-273], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.3e-282], N[(y5 * N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.2e-283], N[(y1 * N[(N[(x * a), $MachinePrecision] * (-y2)), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.6e-306], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.8e-266], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4.2e-243], N[(y0 * N[(y3 * N[(N[(j * y5), $MachinePrecision] - N[(z * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.95e-214], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.02e-53], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.02e+61], N[(k * N[(y1 * N[(y4 * N[(y2 - N[(N[(z * i), $MachinePrecision] / y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 17 regimes

2. if b < -1.02000000000000004e266

   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 0.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 75.2%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   if -1.02000000000000004e266 < b < -2.89999999999999993e125

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 58.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 59.3%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -2.89999999999999993e125 < b < -1.7e11

   1. Initial program 19.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 52.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 45.2%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   if -1.7e11 < b < -3.1500000000000002e-103

   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 y around inf 38.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 38.3%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 38.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 38.3%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 38.3%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 38.3%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 38.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in c around inf 55.5%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 51.5%

         \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right)} \]

      2. +-commutative 51.5%

         \[\leadsto \left(c \cdot y\right) \cdot \color{blue}{\left(y3 \cdot y4 + -1 \cdot \left(i \cdot x\right)\right)} \]

      3. mul-1-neg 51.5%

         \[\leadsto \left(c \cdot y\right) \cdot \left(y3 \cdot y4 + \color{blue}{\left(-i \cdot x\right)}\right) \]

      4. unsub-neg 51.5%

         \[\leadsto \left(c \cdot y\right) \cdot \color{blue}{\left(y3 \cdot y4 - i \cdot x\right)} \]

      5. *-commutative 51.5%

         \[\leadsto \left(c \cdot y\right) \cdot \left(y3 \cdot y4 - \color{blue}{x \cdot i}\right) \]

   8. Simplified 51.5%

      \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)} \]

   if -3.1500000000000002e-103 < b < -2e-121

   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 y0 around inf 71.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 71.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 71.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 71.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 71.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 71.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 71.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 71.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 71.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in c around inf 72.0%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 72.0%

         \[\leadsto c \cdot \color{blue}{\left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   8. Simplified 72.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   if -2e-121 < b < -8.4999999999999994e-167

   1. Initial program 10.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 56.2%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 55.6%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 55.6%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]

   if -8.4999999999999994e-167 < b < -6.19999999999999959e-227

   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 y2 around inf 45.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 45.2%

      \[\leadsto y2 \cdot \color{blue}{\left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]

   if -6.19999999999999959e-227 < b < -1.74999999999999996e-273

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 49.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 61.0%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -1.74999999999999996e-273 < b < -1.30000000000000006e-282

   1. Initial program 3.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y5 around -inf 50.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in i around inf 100.0%

      \[\leadsto -1 \cdot \left(y5 \cdot \color{blue}{\left(i \cdot \left(j \cdot t - k \cdot y\right)\right)}\right) \]

   if -1.30000000000000006e-282 < b < -1.2e-283

   1. Initial program 49.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 100.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y1 around inf 100.0%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 100.0%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around 0 100.0%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot x\right)\right)}\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 100.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(-a \cdot x\right)}\right) \]

      2. distribute-lft-neg-out 100.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(\left(-a\right) \cdot x\right)}\right) \]

      3. *-commutative 100.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(x \cdot \left(-a\right)\right)}\right) \]

   9. Simplified 100.0%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(x \cdot \left(-a\right)\right)}\right) \]

   if -1.2e-283 < b < 1.59999999999999985e-306

   1. Initial program 60.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 79.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 79.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 79.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 79.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 79.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 79.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 79.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 79.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 80.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 80.3%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 80.3%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 80.3%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 80.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if 1.59999999999999985e-306 < b < 1.8e-266

   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 y2 around inf 80.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y0 around inf 81.9%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 81.9%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 81.9%

         \[\leadsto y0 \cdot \left(y2 \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      3. unsub-neg 81.9%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right) \]

   6. Simplified 81.9%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if 1.8e-266 < b < 4.2000000000000002e-243

   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 y3 around -inf 51.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y0 around inf 75.8%

      \[\leadsto -1 \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot \left(-1 \cdot \left(j \cdot y5\right) + c \cdot z\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 75.8%

         \[\leadsto -1 \cdot \left(y0 \cdot \left(y3 \cdot \color{blue}{\left(c \cdot z + -1 \cdot \left(j \cdot y5\right)\right)}\right)\right) \]

      2. mul-1-neg 75.8%

         \[\leadsto -1 \cdot \left(y0 \cdot \left(y3 \cdot \left(c \cdot z + \color{blue}{\left(-j \cdot y5\right)}\right)\right)\right) \]

      3. unsub-neg 75.8%

         \[\leadsto -1 \cdot \left(y0 \cdot \left(y3 \cdot \color{blue}{\left(c \cdot z - j \cdot y5\right)}\right)\right) \]

   6. Simplified 75.8%

      \[\leadsto -1 \cdot \color{blue}{\left(y0 \cdot \left(y3 \cdot \left(c \cdot z - j \cdot y5\right)\right)\right)} \]

   if 4.2000000000000002e-243 < b < 2.9499999999999999e-214

   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 b around inf 16.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in t around inf 67.1%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 67.1%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right) \]

      2. mul-1-neg 67.1%

         \[\leadsto b \cdot \left(t \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right) \]

      3. unsub-neg 67.1%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right) \]

   6. Simplified 67.1%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(j \cdot y4 - a \cdot z\right)\right)} \]

   if 2.9499999999999999e-214 < b < 1.02000000000000002e-53

   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 y2 around inf 39.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around -inf 45.7%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 45.7%

         \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   6. Simplified 45.7%

      \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   if 1.02000000000000002e-53 < b < 1.01999999999999999e61

   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 k around inf 41.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 41.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 41.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 41.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 41.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 41.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 41.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 41.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 60.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y4 around inf 60.6%

      \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot \left(y2 + -1 \cdot \frac{i \cdot z}{y4}\right)\right)}\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 60.6%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 + \color{blue}{\left(-\frac{i \cdot z}{y4}\right)}\right)\right)\right) \]

      2. unsub-neg 60.6%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot \color{blue}{\left(y2 - \frac{i \cdot z}{y4}\right)}\right)\right) \]

      3. *-commutative 60.6%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{\color{blue}{z \cdot i}}{y4}\right)\right)\right) \]

   9. Simplified 60.6%

      \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)}\right) \]

   if 1.01999999999999999e61 < b

   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 b around inf 63.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 48.5%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
3. Recombined 17 regimes into one program.

4. Final simplification 54.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.02 \cdot 10^{+266}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -2.9 \cdot 10^{+125}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -170000000000:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -3.15 \cdot 10^{-103}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;b \leq -2 \cdot 10^{-121}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -8.5 \cdot 10^{-167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq -6.2 \cdot 10^{-227}:\\ \;\;\;\;y2 \cdot \left(c \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq -1.75 \cdot 10^{-273}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq -1.3 \cdot 10^{-282}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -1.2 \cdot 10^{-283}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot a\right) \cdot \left(-y2\right)\right)\\ \mathbf{elif}\;b \leq 1.6 \cdot 10^{-306}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 1.8 \cdot 10^{-266}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 4.2 \cdot 10^{-243}:\\ \;\;\;\;y0 \cdot \left(y3 \cdot \left(j \cdot y5 - z \cdot c\right)\right)\\ \mathbf{elif}\;b \leq 2.95 \cdot 10^{-214}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;b \leq 1.02 \cdot 10^{-53}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 1.02 \cdot 10^{+61}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 37.3% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := 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)\\ t_3 := a \cdot \left(x \cdot b\right)\\ t_4 := k \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{if}\;y5 \leq -8.5 \cdot 10^{+161}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -1.25 \cdot 10^{+107}:\\ \;\;\;\;y \cdot \left(t\_3 + t\_4\right)\\ \mathbf{elif}\;y5 \leq -1.55 \cdot 10^{-62}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq -2.5 \cdot 10^{-149}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -1.9 \cdot 10^{-187}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 1.2 \cdot 10^{-304}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + t\_4\right)\\ \mathbf{elif}\;y5 \leq 1.3 \cdot 10^{-304}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 3.6 \cdot 10^{-245}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 4.2 \cdot 10^{-172}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 1.45 \cdot 10^{-38}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 1.5 \cdot 10^{-14}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 1.55 \cdot 10^{+95}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 3.6 \cdot 10^{+123}:\\ \;\;\;\;c \cdot \left(y \cdot \left(\frac{t\_3}{c} + \left(\frac{t\_4}{c} - x \cdot i\right)\right)\right)\\ \mathbf{elif}\;y5 \leq 2.8 \cdot 10^{+155}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 9.2 \cdot 10^{+255}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (- (* i y1) (* b y0)))))
        (t_2
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j))))))
        (t_3 (* a (* x b)))
        (t_4 (* k (- (* i y5) (* b y4)))))
   (if (<= y5 -8.5e+161)
     (* y2 (* y5 (- (* t a) (* k y0))))
     (if (<= y5 -1.25e+107)
       (* y (+ t_3 t_4))
       (if (<= y5 -1.55e-62)
         t_2
         (if (<= y5 -2.5e-149)
           (* i (+ (* c (- (* z t) (* x y))) (* y1 (- (* x j) (* z k)))))
           (if (<= y5 -1.9e-187)
             t_1
             (if (<= y5 1.2e-304)
               (* y (+ (* x (- (* a b) (* c i))) t_4))
               (if (<= y5 1.3e-304)
                 (* k (* y1 (* y2 y4)))
                 (if (<= y5 3.6e-245)
                   (* y1 (* y3 (- (* z a) (* j y4))))
                   (if (<= y5 4.2e-172)
                     t_1
                     (if (<= y5 1.45e-38)
                       t_2
                       (if (<= y5 1.5e-14)
                         (* y0 (* y2 (- (* x c) (* k y5))))
                         (if (<= y5 1.55e+95)
                           t_2
                           (if (<= y5 3.6e+123)
                             (* c (* y (+ (/ t_3 c) (- (/ t_4 c) (* x i)))))
                             (if (<= y5 2.8e+155)
                               (* y5 (* i (- (* y k) (* t j))))
                               (if (<= y5 9.2e+255)
                                 (* y2 (* a (- (* t y5) (* x y1))))
                                 (*
                                  y0
                                  (*
                                   y5
                                   (- (* j y3) (* k y2)))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_3 = a * (x * b);
	double t_4 = k * ((i * y5) - (b * y4));
	double tmp;
	if (y5 <= -8.5e+161) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (y5 <= -1.25e+107) {
		tmp = y * (t_3 + t_4);
	} else if (y5 <= -1.55e-62) {
		tmp = t_2;
	} else if (y5 <= -2.5e-149) {
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	} else if (y5 <= -1.9e-187) {
		tmp = t_1;
	} else if (y5 <= 1.2e-304) {
		tmp = y * ((x * ((a * b) - (c * i))) + t_4);
	} else if (y5 <= 1.3e-304) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y5 <= 3.6e-245) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y5 <= 4.2e-172) {
		tmp = t_1;
	} else if (y5 <= 1.45e-38) {
		tmp = t_2;
	} else if (y5 <= 1.5e-14) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= 1.55e+95) {
		tmp = t_2;
	} else if (y5 <= 3.6e+123) {
		tmp = c * (y * ((t_3 / c) + ((t_4 / c) - (x * i))));
	} else if (y5 <= 2.8e+155) {
		tmp = y5 * (i * ((y * k) - (t * j)));
	} else if (y5 <= 9.2e+255) {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = j * (x * ((i * y1) - (b * y0)))
    t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    t_3 = a * (x * b)
    t_4 = k * ((i * y5) - (b * y4))
    if (y5 <= (-8.5d+161)) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (y5 <= (-1.25d+107)) then
        tmp = y * (t_3 + t_4)
    else if (y5 <= (-1.55d-62)) then
        tmp = t_2
    else if (y5 <= (-2.5d-149)) then
        tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))))
    else if (y5 <= (-1.9d-187)) then
        tmp = t_1
    else if (y5 <= 1.2d-304) then
        tmp = y * ((x * ((a * b) - (c * i))) + t_4)
    else if (y5 <= 1.3d-304) then
        tmp = k * (y1 * (y2 * y4))
    else if (y5 <= 3.6d-245) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else if (y5 <= 4.2d-172) then
        tmp = t_1
    else if (y5 <= 1.45d-38) then
        tmp = t_2
    else if (y5 <= 1.5d-14) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y5 <= 1.55d+95) then
        tmp = t_2
    else if (y5 <= 3.6d+123) then
        tmp = c * (y * ((t_3 / c) + ((t_4 / c) - (x * i))))
    else if (y5 <= 2.8d+155) then
        tmp = y5 * (i * ((y * k) - (t * j)))
    else if (y5 <= 9.2d+255) then
        tmp = y2 * (a * ((t * y5) - (x * y1)))
    else
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_3 = a * (x * b);
	double t_4 = k * ((i * y5) - (b * y4));
	double tmp;
	if (y5 <= -8.5e+161) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (y5 <= -1.25e+107) {
		tmp = y * (t_3 + t_4);
	} else if (y5 <= -1.55e-62) {
		tmp = t_2;
	} else if (y5 <= -2.5e-149) {
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	} else if (y5 <= -1.9e-187) {
		tmp = t_1;
	} else if (y5 <= 1.2e-304) {
		tmp = y * ((x * ((a * b) - (c * i))) + t_4);
	} else if (y5 <= 1.3e-304) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y5 <= 3.6e-245) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y5 <= 4.2e-172) {
		tmp = t_1;
	} else if (y5 <= 1.45e-38) {
		tmp = t_2;
	} else if (y5 <= 1.5e-14) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= 1.55e+95) {
		tmp = t_2;
	} else if (y5 <= 3.6e+123) {
		tmp = c * (y * ((t_3 / c) + ((t_4 / c) - (x * i))));
	} else if (y5 <= 2.8e+155) {
		tmp = y5 * (i * ((y * k) - (t * j)));
	} else if (y5 <= 9.2e+255) {
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	} else {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (x * ((i * y1) - (b * y0)))
	t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	t_3 = a * (x * b)
	t_4 = k * ((i * y5) - (b * y4))
	tmp = 0
	if y5 <= -8.5e+161:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif y5 <= -1.25e+107:
		tmp = y * (t_3 + t_4)
	elif y5 <= -1.55e-62:
		tmp = t_2
	elif y5 <= -2.5e-149:
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))))
	elif y5 <= -1.9e-187:
		tmp = t_1
	elif y5 <= 1.2e-304:
		tmp = y * ((x * ((a * b) - (c * i))) + t_4)
	elif y5 <= 1.3e-304:
		tmp = k * (y1 * (y2 * y4))
	elif y5 <= 3.6e-245:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	elif y5 <= 4.2e-172:
		tmp = t_1
	elif y5 <= 1.45e-38:
		tmp = t_2
	elif y5 <= 1.5e-14:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y5 <= 1.55e+95:
		tmp = t_2
	elif y5 <= 3.6e+123:
		tmp = c * (y * ((t_3 / c) + ((t_4 / c) - (x * i))))
	elif y5 <= 2.8e+155:
		tmp = y5 * (i * ((y * k) - (t * j)))
	elif y5 <= 9.2e+255:
		tmp = y2 * (a * ((t * y5) - (x * y1)))
	else:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	t_3 = Float64(a * Float64(x * b))
	t_4 = Float64(k * Float64(Float64(i * y5) - Float64(b * y4)))
	tmp = 0.0
	if (y5 <= -8.5e+161)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (y5 <= -1.25e+107)
		tmp = Float64(y * Float64(t_3 + t_4));
	elseif (y5 <= -1.55e-62)
		tmp = t_2;
	elseif (y5 <= -2.5e-149)
		tmp = Float64(i * Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (y5 <= -1.9e-187)
		tmp = t_1;
	elseif (y5 <= 1.2e-304)
		tmp = Float64(y * Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + t_4));
	elseif (y5 <= 1.3e-304)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (y5 <= 3.6e-245)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (y5 <= 4.2e-172)
		tmp = t_1;
	elseif (y5 <= 1.45e-38)
		tmp = t_2;
	elseif (y5 <= 1.5e-14)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y5 <= 1.55e+95)
		tmp = t_2;
	elseif (y5 <= 3.6e+123)
		tmp = Float64(c * Float64(y * Float64(Float64(t_3 / c) + Float64(Float64(t_4 / c) - Float64(x * i)))));
	elseif (y5 <= 2.8e+155)
		tmp = Float64(y5 * Float64(i * Float64(Float64(y * k) - Float64(t * j))));
	elseif (y5 <= 9.2e+255)
		tmp = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))));
	else
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (x * ((i * y1) - (b * y0)));
	t_2 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	t_3 = a * (x * b);
	t_4 = k * ((i * y5) - (b * y4));
	tmp = 0.0;
	if (y5 <= -8.5e+161)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (y5 <= -1.25e+107)
		tmp = y * (t_3 + t_4);
	elseif (y5 <= -1.55e-62)
		tmp = t_2;
	elseif (y5 <= -2.5e-149)
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	elseif (y5 <= -1.9e-187)
		tmp = t_1;
	elseif (y5 <= 1.2e-304)
		tmp = y * ((x * ((a * b) - (c * i))) + t_4);
	elseif (y5 <= 1.3e-304)
		tmp = k * (y1 * (y2 * y4));
	elseif (y5 <= 3.6e-245)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	elseif (y5 <= 4.2e-172)
		tmp = t_1;
	elseif (y5 <= 1.45e-38)
		tmp = t_2;
	elseif (y5 <= 1.5e-14)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y5 <= 1.55e+95)
		tmp = t_2;
	elseif (y5 <= 3.6e+123)
		tmp = c * (y * ((t_3 / c) + ((t_4 / c) - (x * i))));
	elseif (y5 <= 2.8e+155)
		tmp = y5 * (i * ((y * k) - (t * j)));
	elseif (y5 <= 9.2e+255)
		tmp = y2 * (a * ((t * y5) - (x * y1)));
	else
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = 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 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -8.5e+161], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.25e+107], N[(y * N[(t$95$3 + t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.55e-62], t$95$2, If[LessEqual[y5, -2.5e-149], N[(i * N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.9e-187], t$95$1, If[LessEqual[y5, 1.2e-304], N[(y * N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.3e-304], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 3.6e-245], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 4.2e-172], t$95$1, If[LessEqual[y5, 1.45e-38], t$95$2, If[LessEqual[y5, 1.5e-14], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.55e+95], t$95$2, If[LessEqual[y5, 3.6e+123], N[(c * N[(y * N[(N[(t$95$3 / c), $MachinePrecision] + N[(N[(t$95$4 / c), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.8e+155], N[(y5 * N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9.2e+255], N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if y5 < -8.50000000000000007e161

   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 y2 around inf 46.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around -inf 58.1%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 58.1%

         \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   6. Simplified 58.1%

      \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   if -8.50000000000000007e161 < y5 < -1.25e107

   1. Initial program 40.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 50.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 50.1%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 50.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 50.1%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 50.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 50.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 50.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 50.2%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in c around 0 60.2%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if -1.25e107 < y5 < -1.55e-62 or 4.1999999999999999e-172 < y5 < 1.44999999999999997e-38 or 1.4999999999999999e-14 < y5 < 1.5500000000000001e95

   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 b around inf 53.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -1.55e-62 < y5 < -2.49999999999999984e-149

   1. Initial program 46.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 60.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 60.9%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   if -2.49999999999999984e-149 < y5 < -1.90000000000000013e-187 or 3.59999999999999999e-245 < y5 < 4.1999999999999999e-172

   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 31.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 44.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   if -1.90000000000000013e-187 < y5 < 1.2e-304

   1. Initial program 15.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 58.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 58.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 58.5%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 58.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 58.5%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 58.5%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 58.5%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 58.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 58.5%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 1.2e-304 < y5 < 1.29999999999999998e-304

   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 k around inf 100.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 100.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 100.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 100.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 100.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around inf 100.0%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]

   if 1.29999999999999998e-304 < y5 < 3.59999999999999999e-245

   1. Initial program 44.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 34.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y1 around inf 51.4%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 51.4%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right)\right) \]

      2. mul-1-neg 51.4%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right)\right) \]

      3. unsub-neg 51.4%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right)\right) \]

   6. Simplified 51.4%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 - a \cdot z\right)\right)\right)} \]

   if 1.44999999999999997e-38 < y5 < 1.4999999999999999e-14

   1. Initial program 22.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 57.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y0 around inf 78.4%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 78.4%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 78.4%

         \[\leadsto y0 \cdot \left(y2 \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      3. unsub-neg 78.4%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right) \]

   6. Simplified 78.4%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if 1.5500000000000001e95 < y5 < 3.59999999999999998e123

   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 27.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 27.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 27.6%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 27.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 27.6%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 27.6%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 27.6%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 27.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in c around inf 75.2%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{y \cdot \left(\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}{c}\right)} \]
   7. Step-by-step derivation

      1. associate-/l* 75.2%

         \[\leadsto c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \color{blue}{y \cdot \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}}\right) \]

      2. distribute-lft-out 75.2%

         \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(\left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right)} \]

      3. +-commutative 75.2%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{\left(y3 \cdot y4 + -1 \cdot \left(i \cdot x\right)\right)} + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      4. mul-1-neg 75.2%

         \[\leadsto c \cdot \left(y \cdot \left(\left(y3 \cdot y4 + \color{blue}{\left(-i \cdot x\right)}\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      5. unsub-neg 75.2%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{\left(y3 \cdot y4 - i \cdot x\right)} + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      6. *-commutative 75.2%

         \[\leadsto c \cdot \left(y \cdot \left(\left(y3 \cdot y4 - \color{blue}{x \cdot i}\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

   8. Simplified 75.2%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(y3 \cdot y4 - x \cdot i\right) + \frac{a \cdot \left(x \cdot b - y3 \cdot y5\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right)} \]

   9. Taylor expanded in y3 around 0 75.6%

      \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(\frac{a \cdot \left(b \cdot x\right)}{c} - \left(i \cdot x + \frac{k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right)\right)} \]

   if 3.59999999999999998e123 < y5 < 2.80000000000000016e155

   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 y5 around -inf 66.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in i around inf 83.4%

      \[\leadsto -1 \cdot \left(y5 \cdot \color{blue}{\left(i \cdot \left(j \cdot t - k \cdot y\right)\right)}\right) \]

   if 2.80000000000000016e155 < y5 < 9.2000000000000001e255

   1. Initial program 19.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 50.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around -inf 65.2%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 65.2%

         \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   6. Simplified 65.2%

      \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   if 9.2000000000000001e255 < y5

   1. Initial program 8.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 51.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 51.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 51.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 51.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 51.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 51.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 51.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 51.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 51.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 59.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 57.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -8.5 \cdot 10^{+161}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -1.25 \cdot 10^{+107}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -1.55 \cdot 10^{-62}:\\ \;\;\;\;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}\;y5 \leq -2.5 \cdot 10^{-149}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -1.9 \cdot 10^{-187}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.2 \cdot 10^{-304}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 1.3 \cdot 10^{-304}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 3.6 \cdot 10^{-245}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 4.2 \cdot 10^{-172}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.45 \cdot 10^{-38}:\\ \;\;\;\;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}\;y5 \leq 1.5 \cdot 10^{-14}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 1.55 \cdot 10^{+95}:\\ \;\;\;\;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}\;y5 \leq 3.6 \cdot 10^{+123}:\\ \;\;\;\;c \cdot \left(y \cdot \left(\frac{a \cdot \left(x \cdot b\right)}{c} + \left(\frac{k \cdot \left(i \cdot y5 - b \cdot y4\right)}{c} - x \cdot i\right)\right)\right)\\ \mathbf{elif}\;y5 \leq 2.8 \cdot 10^{+155}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 9.2 \cdot 10^{+255}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 33.4% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ t_3 := i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ t_4 := k \cdot \left(i \cdot y5 - b \cdot y4\right)\\ \mathbf{if}\;y5 \leq -1.2 \cdot 10^{+162}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -7.6 \cdot 10^{+107}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right) + t\_4\right)\\ \mathbf{elif}\;y5 \leq -1.42 \cdot 10^{+99}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -6.8 \cdot 10^{+44}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq -7.6 \cdot 10^{-150}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y5 \leq -3.3 \cdot 10^{-185}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq -1.52 \cdot 10^{-214}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y5 \leq 9 \cdot 10^{-305}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y5 \leq 6.2 \cdot 10^{-245}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 2.5 \cdot 10^{-135}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{-78}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y5 \leq 8.8 \cdot 10^{-38}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + t\_4\right)\\ \mathbf{elif}\;y5 \leq 1.62 \cdot 10^{+27}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 2.06 \cdot 10^{+71}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 1.8 \cdot 10^{+95}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 8 \cdot 10^{+134}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (- (* i y1) (* b y0)))))
        (t_2 (* y2 (* a (- (* t y5) (* x y1)))))
        (t_3 (* i (+ (* c (- (* z t) (* x y))) (* y1 (- (* x j) (* z k))))))
        (t_4 (* k (- (* i y5) (* b y4)))))
   (if (<= y5 -1.2e+162)
     (* y2 (* y5 (- (* t a) (* k y0))))
     (if (<= y5 -7.6e+107)
       (* y (+ (* a (* x b)) t_4))
       (if (<= y5 -1.42e+99)
         (* b (* j (- (* t y4) (* x y0))))
         (if (<= y5 -6.8e+44)
           (* k (* z (- (* b y0) (* i y1))))
           (if (<= y5 -7.6e-150)
             t_3
             (if (<= y5 -3.3e-185)
               t_1
               (if (<= y5 -1.52e-214)
                 (* y1 (* y2 (- (* k y4) (* x a))))
                 (if (<= y5 9e-305)
                   t_3
                   (if (<= y5 6.2e-245)
                     (* y1 (* y3 (- (* z a) (* j y4))))
                     (if (<= y5 2.5e-135)
                       t_1
                       (if (<= y5 2.6e-78)
                         t_3
                         (if (<= y5 8.8e-38)
                           (* y (+ (* x (- (* a b) (* c i))) t_4))
                           (if (<= y5 1.62e+27)
                             (* y0 (* y2 (- (* x c) (* k y5))))
                             (if (<= y5 2.06e+71)
                               t_2
                               (if (<= y5 1.8e+95)
                                 (* y (* y3 (- (* c y4) (* a y5))))
                                 (if (<= y5 8e+134) t_1 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 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = y2 * (a * ((t * y5) - (x * y1)));
	double t_3 = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	double t_4 = k * ((i * y5) - (b * y4));
	double tmp;
	if (y5 <= -1.2e+162) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (y5 <= -7.6e+107) {
		tmp = y * ((a * (x * b)) + t_4);
	} else if (y5 <= -1.42e+99) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y5 <= -6.8e+44) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= -7.6e-150) {
		tmp = t_3;
	} else if (y5 <= -3.3e-185) {
		tmp = t_1;
	} else if (y5 <= -1.52e-214) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y5 <= 9e-305) {
		tmp = t_3;
	} else if (y5 <= 6.2e-245) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y5 <= 2.5e-135) {
		tmp = t_1;
	} else if (y5 <= 2.6e-78) {
		tmp = t_3;
	} else if (y5 <= 8.8e-38) {
		tmp = y * ((x * ((a * b) - (c * i))) + t_4);
	} else if (y5 <= 1.62e+27) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= 2.06e+71) {
		tmp = t_2;
	} else if (y5 <= 1.8e+95) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y5 <= 8e+134) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = j * (x * ((i * y1) - (b * y0)))
    t_2 = y2 * (a * ((t * y5) - (x * y1)))
    t_3 = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))))
    t_4 = k * ((i * y5) - (b * y4))
    if (y5 <= (-1.2d+162)) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (y5 <= (-7.6d+107)) then
        tmp = y * ((a * (x * b)) + t_4)
    else if (y5 <= (-1.42d+99)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y5 <= (-6.8d+44)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y5 <= (-7.6d-150)) then
        tmp = t_3
    else if (y5 <= (-3.3d-185)) then
        tmp = t_1
    else if (y5 <= (-1.52d-214)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y5 <= 9d-305) then
        tmp = t_3
    else if (y5 <= 6.2d-245) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else if (y5 <= 2.5d-135) then
        tmp = t_1
    else if (y5 <= 2.6d-78) then
        tmp = t_3
    else if (y5 <= 8.8d-38) then
        tmp = y * ((x * ((a * b) - (c * i))) + t_4)
    else if (y5 <= 1.62d+27) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y5 <= 2.06d+71) then
        tmp = t_2
    else if (y5 <= 1.8d+95) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (y5 <= 8d+134) then
        tmp = t_1
    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 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = y2 * (a * ((t * y5) - (x * y1)));
	double t_3 = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	double t_4 = k * ((i * y5) - (b * y4));
	double tmp;
	if (y5 <= -1.2e+162) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (y5 <= -7.6e+107) {
		tmp = y * ((a * (x * b)) + t_4);
	} else if (y5 <= -1.42e+99) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y5 <= -6.8e+44) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= -7.6e-150) {
		tmp = t_3;
	} else if (y5 <= -3.3e-185) {
		tmp = t_1;
	} else if (y5 <= -1.52e-214) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y5 <= 9e-305) {
		tmp = t_3;
	} else if (y5 <= 6.2e-245) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y5 <= 2.5e-135) {
		tmp = t_1;
	} else if (y5 <= 2.6e-78) {
		tmp = t_3;
	} else if (y5 <= 8.8e-38) {
		tmp = y * ((x * ((a * b) - (c * i))) + t_4);
	} else if (y5 <= 1.62e+27) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y5 <= 2.06e+71) {
		tmp = t_2;
	} else if (y5 <= 1.8e+95) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y5 <= 8e+134) {
		tmp = t_1;
	} 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 = j * (x * ((i * y1) - (b * y0)))
	t_2 = y2 * (a * ((t * y5) - (x * y1)))
	t_3 = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))))
	t_4 = k * ((i * y5) - (b * y4))
	tmp = 0
	if y5 <= -1.2e+162:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif y5 <= -7.6e+107:
		tmp = y * ((a * (x * b)) + t_4)
	elif y5 <= -1.42e+99:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y5 <= -6.8e+44:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y5 <= -7.6e-150:
		tmp = t_3
	elif y5 <= -3.3e-185:
		tmp = t_1
	elif y5 <= -1.52e-214:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y5 <= 9e-305:
		tmp = t_3
	elif y5 <= 6.2e-245:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	elif y5 <= 2.5e-135:
		tmp = t_1
	elif y5 <= 2.6e-78:
		tmp = t_3
	elif y5 <= 8.8e-38:
		tmp = y * ((x * ((a * b) - (c * i))) + t_4)
	elif y5 <= 1.62e+27:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y5 <= 2.06e+71:
		tmp = t_2
	elif y5 <= 1.8e+95:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif y5 <= 8e+134:
		tmp = t_1
	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(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))))
	t_3 = Float64(i * Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))))
	t_4 = Float64(k * Float64(Float64(i * y5) - Float64(b * y4)))
	tmp = 0.0
	if (y5 <= -1.2e+162)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (y5 <= -7.6e+107)
		tmp = Float64(y * Float64(Float64(a * Float64(x * b)) + t_4));
	elseif (y5 <= -1.42e+99)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y5 <= -6.8e+44)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y5 <= -7.6e-150)
		tmp = t_3;
	elseif (y5 <= -3.3e-185)
		tmp = t_1;
	elseif (y5 <= -1.52e-214)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y5 <= 9e-305)
		tmp = t_3;
	elseif (y5 <= 6.2e-245)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (y5 <= 2.5e-135)
		tmp = t_1;
	elseif (y5 <= 2.6e-78)
		tmp = t_3;
	elseif (y5 <= 8.8e-38)
		tmp = Float64(y * Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + t_4));
	elseif (y5 <= 1.62e+27)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y5 <= 2.06e+71)
		tmp = t_2;
	elseif (y5 <= 1.8e+95)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y5 <= 8e+134)
		tmp = t_1;
	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 = j * (x * ((i * y1) - (b * y0)));
	t_2 = y2 * (a * ((t * y5) - (x * y1)));
	t_3 = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	t_4 = k * ((i * y5) - (b * y4));
	tmp = 0.0;
	if (y5 <= -1.2e+162)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (y5 <= -7.6e+107)
		tmp = y * ((a * (x * b)) + t_4);
	elseif (y5 <= -1.42e+99)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y5 <= -6.8e+44)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y5 <= -7.6e-150)
		tmp = t_3;
	elseif (y5 <= -3.3e-185)
		tmp = t_1;
	elseif (y5 <= -1.52e-214)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y5 <= 9e-305)
		tmp = t_3;
	elseif (y5 <= 6.2e-245)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	elseif (y5 <= 2.5e-135)
		tmp = t_1;
	elseif (y5 <= 2.6e-78)
		tmp = t_3;
	elseif (y5 <= 8.8e-38)
		tmp = y * ((x * ((a * b) - (c * i))) + t_4);
	elseif (y5 <= 1.62e+27)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y5 <= 2.06e+71)
		tmp = t_2;
	elseif (y5 <= 1.8e+95)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (y5 <= 8e+134)
		tmp = t_1;
	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[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(i * N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -1.2e+162], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -7.6e+107], N[(y * N[(N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision] + t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.42e+99], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -6.8e+44], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -7.6e-150], t$95$3, If[LessEqual[y5, -3.3e-185], t$95$1, If[LessEqual[y5, -1.52e-214], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9e-305], t$95$3, If[LessEqual[y5, 6.2e-245], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.5e-135], t$95$1, If[LessEqual[y5, 2.6e-78], t$95$3, If[LessEqual[y5, 8.8e-38], N[(y * N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.62e+27], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.06e+71], t$95$2, If[LessEqual[y5, 1.8e+95], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 8e+134], t$95$1, t$95$2]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y5 < -1.20000000000000005e162

   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 y2 around inf 46.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around -inf 58.1%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 58.1%

         \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   6. Simplified 58.1%

      \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   if -1.20000000000000005e162 < y5 < -7.5999999999999996e107

   1. Initial program 40.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 50.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 50.1%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 50.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 50.1%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 50.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 50.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 50.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 50.2%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in c around 0 60.2%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if -7.5999999999999996e107 < y5 < -1.42000000000000004e99

   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 b around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -1.42000000000000004e99 < y5 < -6.8e44

   1. Initial program 18.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 36.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 36.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 36.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 36.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 36.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 36.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 36.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 36.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 64.1%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -6.8e44 < y5 < -7.5999999999999997e-150 or -1.51999999999999991e-214 < y5 < 9.0000000000000003e-305 or 2.5000000000000001e-135 < y5 < 2.6000000000000001e-78

   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 i around -inf 49.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 50.8%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   if -7.5999999999999997e-150 < y5 < -3.2999999999999997e-185 or 6.20000000000000006e-245 < y5 < 2.5000000000000001e-135 or 1.79999999999999989e95 < y5 < 7.99999999999999937e134

   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 35.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 49.9%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   if -3.2999999999999997e-185 < y5 < -1.51999999999999991e-214

   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 y2 around inf 66.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y1 around inf 67.4%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 67.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 67.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 67.4%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 67.4%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   if 9.0000000000000003e-305 < y5 < 6.20000000000000006e-245

   1. Initial program 42.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 32.8%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y1 around inf 48.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 48.7%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right)\right) \]

      2. mul-1-neg 48.7%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right)\right) \]

      3. unsub-neg 48.7%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right)\right) \]

   6. Simplified 48.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 - a \cdot z\right)\right)\right)} \]

   if 2.6000000000000001e-78 < y5 < 8.80000000000000029e-38

   1. Initial program 44.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 67.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 67.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 67.1%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 67.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 67.1%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 67.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 67.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 67.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 67.5%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 8.80000000000000029e-38 < y5 < 1.62000000000000001e27

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 65.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y0 around inf 73.2%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 73.2%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 73.2%

         \[\leadsto y0 \cdot \left(y2 \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      3. unsub-neg 73.2%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right) \]

   6. Simplified 73.2%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if 1.62000000000000001e27 < y5 < 2.0599999999999999e71 or 7.99999999999999937e134 < y5

   1. Initial program 20.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 45.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around -inf 57.8%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 57.8%

         \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   6. Simplified 57.8%

      \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   if 2.0599999999999999e71 < y5 < 1.79999999999999989e95

   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 y around inf 50.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 50.0%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 50.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 50.0%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 50.0%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 50.0%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 50.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around inf 63.9%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 56.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1.2 \cdot 10^{+162}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -7.6 \cdot 10^{+107}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -1.42 \cdot 10^{+99}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -6.8 \cdot 10^{+44}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq -7.6 \cdot 10^{-150}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq -3.3 \cdot 10^{-185}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -1.52 \cdot 10^{-214}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y5 \leq 9 \cdot 10^{-305}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 6.2 \cdot 10^{-245}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 2.5 \cdot 10^{-135}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{-78}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 8.8 \cdot 10^{-38}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 1.62 \cdot 10^{+27}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 2.06 \cdot 10^{+71}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.8 \cdot 10^{+95}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq 8 \cdot 10^{+134}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 36.4% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y5 - c \cdot y4\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ t_3 := t \cdot t\_1\\ t_4 := b \cdot y4 - i \cdot y5\\ t_5 := z \cdot k - x \cdot j\\ t_6 := 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\_5\right)\\ \mathbf{if}\;y3 \leq -7 \cdot 10^{+174}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.6 \cdot 10^{+70}:\\ \;\;\;\;t \cdot \left(\left(j \cdot t\_4 + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot t\_1\right)\\ \mathbf{elif}\;y3 \leq -2.4 \cdot 10^{-5}:\\ \;\;\;\;k \cdot \left(y2 \cdot t\_2\right)\\ \mathbf{elif}\;y3 \leq -1.75 \cdot 10^{-62}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y3 \leq -1.95 \cdot 10^{-95}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -6.2 \cdot 10^{-189}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y3 \leq -2.1 \cdot 10^{-233}:\\ \;\;\;\;j \cdot \left(\left(t \cdot t\_4 + y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 6.5 \cdot 10^{-233}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;y3 \leq 3.8 \cdot 10^{-153}:\\ \;\;\;\;y2 \cdot t\_3\\ \mathbf{elif}\;y3 \leq 8.2 \cdot 10^{+193}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t\_2 + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t\_3\right)\\ \mathbf{elif}\;y3 \leq 4 \cdot 10^{+209}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;y3 \leq 3.3 \cdot 10^{+245}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot 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 (- (* a y5) (* c y4)))
        (t_2 (- (* y1 y4) (* y0 y5)))
        (t_3 (* t t_1))
        (t_4 (- (* b y4) (* i y5)))
        (t_5 (- (* z k) (* x j)))
        (t_6
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 t_5)))))
   (if (<= y3 -7e+174)
     (* y (* y3 (- (* c y4) (* a y5))))
     (if (<= y3 -2.6e+70)
       (* t (+ (+ (* j t_4) (* z (- (* c i) (* a b)))) (* y2 t_1)))
       (if (<= y3 -2.4e-5)
         (* k (* y2 t_2))
         (if (<= y3 -1.75e-62)
           (*
            (+
             (- (* y3 y4) (* a (* y3 (/ y5 c))))
             (- (* i (* k (/ y5 c))) (* x i)))
            (* y c))
           (if (<= y3 -1.95e-95)
             (* k (* y1 (* y4 (- y2 (/ (* z i) y4)))))
             (if (<= y3 -6.2e-189)
               t_6
               (if (<= y3 -2.1e-233)
                 (*
                  j
                  (+
                   (+ (* t t_4) (* y3 (- (* y0 y5) (* y1 y4))))
                   (* x (- (* i y1) (* b y0)))))
                 (if (<= y3 6.5e-233)
                   t_6
                   (if (<= y3 3.8e-153)
                     (* y2 t_3)
                     (if (<= y3 8.2e+193)
                       (* y2 (+ (+ (* k t_2) (* x (- (* c y0) (* a y1)))) t_3))
                       (if (<= y3 4e+209)
                         (* (* y c) (- (* y3 y4) (* x i)))
                         (if (<= y3 3.3e+245)
                           (* (* j y0) (- (* y3 y5) (* x b)))
                           (*
                            y0
                            (+
                             (+
                              (* c (- (* x y2) (* z y3)))
                              (* y5 (- (* j y3) (* k y2))))
                             (* b 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 = (a * y5) - (c * y4);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = t * t_1;
	double t_4 = (b * y4) - (i * y5);
	double t_5 = (z * k) - (x * j);
	double t_6 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_5));
	double tmp;
	if (y3 <= -7e+174) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y3 <= -2.6e+70) {
		tmp = t * (((j * t_4) + (z * ((c * i) - (a * b)))) + (y2 * t_1));
	} else if (y3 <= -2.4e-5) {
		tmp = k * (y2 * t_2);
	} else if (y3 <= -1.75e-62) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (y3 <= -1.95e-95) {
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	} else if (y3 <= -6.2e-189) {
		tmp = t_6;
	} else if (y3 <= -2.1e-233) {
		tmp = j * (((t * t_4) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (y3 <= 6.5e-233) {
		tmp = t_6;
	} else if (y3 <= 3.8e-153) {
		tmp = y2 * t_3;
	} else if (y3 <= 8.2e+193) {
		tmp = y2 * (((k * t_2) + (x * ((c * y0) - (a * y1)))) + t_3);
	} else if (y3 <= 4e+209) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (y3 <= 3.3e+245) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else {
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * 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 = (a * y5) - (c * y4)
    t_2 = (y1 * y4) - (y0 * y5)
    t_3 = t * t_1
    t_4 = (b * y4) - (i * y5)
    t_5 = (z * k) - (x * j)
    t_6 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_5))
    if (y3 <= (-7d+174)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (y3 <= (-2.6d+70)) then
        tmp = t * (((j * t_4) + (z * ((c * i) - (a * b)))) + (y2 * t_1))
    else if (y3 <= (-2.4d-5)) then
        tmp = k * (y2 * t_2)
    else if (y3 <= (-1.75d-62)) then
        tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
    else if (y3 <= (-1.95d-95)) then
        tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))))
    else if (y3 <= (-6.2d-189)) then
        tmp = t_6
    else if (y3 <= (-2.1d-233)) then
        tmp = j * (((t * t_4) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
    else if (y3 <= 6.5d-233) then
        tmp = t_6
    else if (y3 <= 3.8d-153) then
        tmp = y2 * t_3
    else if (y3 <= 8.2d+193) then
        tmp = y2 * (((k * t_2) + (x * ((c * y0) - (a * y1)))) + t_3)
    else if (y3 <= 4d+209) then
        tmp = (y * c) * ((y3 * y4) - (x * i))
    else if (y3 <= 3.3d+245) then
        tmp = (j * y0) * ((y3 * y5) - (x * b))
    else
        tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * 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 = (a * y5) - (c * y4);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = t * t_1;
	double t_4 = (b * y4) - (i * y5);
	double t_5 = (z * k) - (x * j);
	double t_6 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_5));
	double tmp;
	if (y3 <= -7e+174) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y3 <= -2.6e+70) {
		tmp = t * (((j * t_4) + (z * ((c * i) - (a * b)))) + (y2 * t_1));
	} else if (y3 <= -2.4e-5) {
		tmp = k * (y2 * t_2);
	} else if (y3 <= -1.75e-62) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (y3 <= -1.95e-95) {
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	} else if (y3 <= -6.2e-189) {
		tmp = t_6;
	} else if (y3 <= -2.1e-233) {
		tmp = j * (((t * t_4) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	} else if (y3 <= 6.5e-233) {
		tmp = t_6;
	} else if (y3 <= 3.8e-153) {
		tmp = y2 * t_3;
	} else if (y3 <= 8.2e+193) {
		tmp = y2 * (((k * t_2) + (x * ((c * y0) - (a * y1)))) + t_3);
	} else if (y3 <= 4e+209) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (y3 <= 3.3e+245) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else {
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * 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 = (a * y5) - (c * y4)
	t_2 = (y1 * y4) - (y0 * y5)
	t_3 = t * t_1
	t_4 = (b * y4) - (i * y5)
	t_5 = (z * k) - (x * j)
	t_6 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_5))
	tmp = 0
	if y3 <= -7e+174:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif y3 <= -2.6e+70:
		tmp = t * (((j * t_4) + (z * ((c * i) - (a * b)))) + (y2 * t_1))
	elif y3 <= -2.4e-5:
		tmp = k * (y2 * t_2)
	elif y3 <= -1.75e-62:
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
	elif y3 <= -1.95e-95:
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))))
	elif y3 <= -6.2e-189:
		tmp = t_6
	elif y3 <= -2.1e-233:
		tmp = j * (((t * t_4) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))))
	elif y3 <= 6.5e-233:
		tmp = t_6
	elif y3 <= 3.8e-153:
		tmp = y2 * t_3
	elif y3 <= 8.2e+193:
		tmp = y2 * (((k * t_2) + (x * ((c * y0) - (a * y1)))) + t_3)
	elif y3 <= 4e+209:
		tmp = (y * c) * ((y3 * y4) - (x * i))
	elif y3 <= 3.3e+245:
		tmp = (j * y0) * ((y3 * y5) - (x * b))
	else:
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * 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(a * y5) - Float64(c * y4))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_3 = Float64(t * t_1)
	t_4 = Float64(Float64(b * y4) - Float64(i * y5))
	t_5 = Float64(Float64(z * k) - Float64(x * j))
	t_6 = 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_5)))
	tmp = 0.0
	if (y3 <= -7e+174)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y3 <= -2.6e+70)
		tmp = Float64(t * Float64(Float64(Float64(j * t_4) + Float64(z * Float64(Float64(c * i) - Float64(a * b)))) + Float64(y2 * t_1)));
	elseif (y3 <= -2.4e-5)
		tmp = Float64(k * Float64(y2 * t_2));
	elseif (y3 <= -1.75e-62)
		tmp = Float64(Float64(Float64(Float64(y3 * y4) - Float64(a * Float64(y3 * Float64(y5 / c)))) + Float64(Float64(i * Float64(k * Float64(y5 / c))) - Float64(x * i))) * Float64(y * c));
	elseif (y3 <= -1.95e-95)
		tmp = Float64(k * Float64(y1 * Float64(y4 * Float64(y2 - Float64(Float64(z * i) / y4)))));
	elseif (y3 <= -6.2e-189)
		tmp = t_6;
	elseif (y3 <= -2.1e-233)
		tmp = Float64(j * Float64(Float64(Float64(t * t_4) + Float64(y3 * Float64(Float64(y0 * y5) - Float64(y1 * y4)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y3 <= 6.5e-233)
		tmp = t_6;
	elseif (y3 <= 3.8e-153)
		tmp = Float64(y2 * t_3);
	elseif (y3 <= 8.2e+193)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_2) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + t_3));
	elseif (y3 <= 4e+209)
		tmp = Float64(Float64(y * c) * Float64(Float64(y3 * y4) - Float64(x * i)));
	elseif (y3 <= 3.3e+245)
		tmp = Float64(Float64(j * y0) * Float64(Float64(y3 * y5) - Float64(x * b)));
	else
		tmp = Float64(y0 * Float64(Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * t_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 = (a * y5) - (c * y4);
	t_2 = (y1 * y4) - (y0 * y5);
	t_3 = t * t_1;
	t_4 = (b * y4) - (i * y5);
	t_5 = (z * k) - (x * j);
	t_6 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_5));
	tmp = 0.0;
	if (y3 <= -7e+174)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (y3 <= -2.6e+70)
		tmp = t * (((j * t_4) + (z * ((c * i) - (a * b)))) + (y2 * t_1));
	elseif (y3 <= -2.4e-5)
		tmp = k * (y2 * t_2);
	elseif (y3 <= -1.75e-62)
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	elseif (y3 <= -1.95e-95)
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	elseif (y3 <= -6.2e-189)
		tmp = t_6;
	elseif (y3 <= -2.1e-233)
		tmp = j * (((t * t_4) + (y3 * ((y0 * y5) - (y1 * y4)))) + (x * ((i * y1) - (b * y0))));
	elseif (y3 <= 6.5e-233)
		tmp = t_6;
	elseif (y3 <= 3.8e-153)
		tmp = y2 * t_3;
	elseif (y3 <= 8.2e+193)
		tmp = y2 * (((k * t_2) + (x * ((c * y0) - (a * y1)))) + t_3);
	elseif (y3 <= 4e+209)
		tmp = (y * c) * ((y3 * y4) - (x * i));
	elseif (y3 <= 3.3e+245)
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	else
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * 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[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(t * t$95$1), $MachinePrecision]}, Block[{t$95$4 = N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = 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$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -7e+174], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.6e+70], N[(t * N[(N[(N[(j * t$95$4), $MachinePrecision] + N[(z * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.4e-5], N[(k * N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.75e-62], N[(N[(N[(N[(y3 * y4), $MachinePrecision] - N[(a * N[(y3 * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(k * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.95e-95], N[(k * N[(y1 * N[(y4 * N[(y2 - N[(N[(z * i), $MachinePrecision] / y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -6.2e-189], t$95$6, If[LessEqual[y3, -2.1e-233], N[(j * N[(N[(N[(t * t$95$4), $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[y3, 6.5e-233], t$95$6, If[LessEqual[y3, 3.8e-153], N[(y2 * t$95$3), $MachinePrecision], If[LessEqual[y3, 8.2e+193], N[(y2 * N[(N[(N[(k * t$95$2), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4e+209], N[(N[(y * c), $MachinePrecision] * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.3e+245], N[(N[(j * y0), $MachinePrecision] * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y0 * N[(N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y3 < -7.0000000000000003e174

   1. Initial program 10.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 45.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 45.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 45.2%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 45.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 45.2%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 45.2%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 45.2%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 45.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around inf 52.4%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -7.0000000000000003e174 < y3 < -2.6e70

   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 t around inf 68.8%

      \[\leadsto \color{blue}{t \cdot \left(\left(-1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right) + j \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 68.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(z \cdot \left(a \cdot b - c \cdot i\right)\right)\right)} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

      2. mul-1-neg 68.8%

         \[\leadsto t \cdot \left(\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-z \cdot \left(a \cdot b - c \cdot i\right)\right)}\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

      3. unsub-neg 68.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) - z \cdot \left(a \cdot b - c \cdot i\right)\right)} - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

      4. *-commutative 68.8%

         \[\leadsto t \cdot \left(\left(\color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot j} - z \cdot \left(a \cdot b - c \cdot i\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right) \]

   5. Simplified 68.8%

      \[\leadsto \color{blue}{t \cdot \left(\left(\left(b \cdot y4 - i \cdot y5\right) \cdot j - z \cdot \left(a \cdot b - c \cdot i\right)\right) - y2 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -2.6e70 < y3 < -2.4000000000000001e-5

   1. Initial program 14.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 51.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in k around inf 58.4%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if -2.4000000000000001e-5 < y3 < -1.7500000000000001e-62

   1. Initial program 47.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 42.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 42.2%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 42.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 42.2%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 42.2%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 42.2%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 42.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in c around inf 36.9%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{y \cdot \left(\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}{c}\right)} \]
   7. Step-by-step derivation

      1. associate-/l* 36.9%

         \[\leadsto c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \color{blue}{y \cdot \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}}\right) \]

      2. distribute-lft-out 36.9%

         \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(\left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right)} \]

      3. +-commutative 36.9%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{\left(y3 \cdot y4 + -1 \cdot \left(i \cdot x\right)\right)} + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      4. mul-1-neg 36.9%

         \[\leadsto c \cdot \left(y \cdot \left(\left(y3 \cdot y4 + \color{blue}{\left(-i \cdot x\right)}\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      5. unsub-neg 36.9%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{\left(y3 \cdot y4 - i \cdot x\right)} + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      6. *-commutative 36.9%

         \[\leadsto c \cdot \left(y \cdot \left(\left(y3 \cdot y4 - \color{blue}{x \cdot i}\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

   8. Simplified 42.7%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(y3 \cdot y4 - x \cdot i\right) + \frac{a \cdot \left(x \cdot b - y3 \cdot y5\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right)} \]

   9. Taylor expanded in b around 0 54.5%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 49.0%

          \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right)} \]

       2. *-commutative 49.0%

          \[\leadsto \color{blue}{\left(y \cdot c\right)} \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       3. +-commutative 49.0%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\color{blue}{\left(y3 \cdot y4 + -1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c}\right)} - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       4. mul-1-neg 49.0%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 + \color{blue}{\left(-\frac{a \cdot \left(y3 \cdot y5\right)}{c}\right)}\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       5. unsub-neg 49.0%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\color{blue}{\left(y3 \cdot y4 - \frac{a \cdot \left(y3 \cdot y5\right)}{c}\right)} - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       6. associate-/l* 54.5%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - \color{blue}{a \cdot \frac{y3 \cdot y5}{c}}\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       7. associate-/l* 54.5%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \color{blue}{\left(y3 \cdot \frac{y5}{c}\right)}\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       8. +-commutative 54.5%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \color{blue}{\left(i \cdot x + -1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c}\right)}\right) \]

       9. mul-1-neg 54.5%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(i \cdot x + \color{blue}{\left(-\frac{i \cdot \left(k \cdot y5\right)}{c}\right)}\right)\right) \]

       10. unsub-neg 54.5%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \color{blue}{\left(i \cdot x - \frac{i \cdot \left(k \cdot y5\right)}{c}\right)}\right) \]

       11. *-commutative 54.5%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(\color{blue}{x \cdot i} - \frac{i \cdot \left(k \cdot y5\right)}{c}\right)\right) \]

       12. associate-/l* 54.5%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(x \cdot i - \color{blue}{i \cdot \frac{k \cdot y5}{c}}\right)\right) \]

       13. associate-/l* 48.6%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(x \cdot i - i \cdot \color{blue}{\left(k \cdot \frac{y5}{c}\right)}\right)\right) \]

   11. Simplified 48.6%

       \[\leadsto \color{blue}{\left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(x \cdot i - i \cdot \left(k \cdot \frac{y5}{c}\right)\right)\right)} \]

   if -1.7500000000000001e-62 < y3 < -1.95e-95

   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 k around inf 51.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 51.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 51.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 51.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 51.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 51.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 51.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 51.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 63.8%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y4 around inf 76.0%

      \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot \left(y2 + -1 \cdot \frac{i \cdot z}{y4}\right)\right)}\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 76.0%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 + \color{blue}{\left(-\frac{i \cdot z}{y4}\right)}\right)\right)\right) \]

      2. unsub-neg 76.0%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot \color{blue}{\left(y2 - \frac{i \cdot z}{y4}\right)}\right)\right) \]

      3. *-commutative 76.0%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{\color{blue}{z \cdot i}}{y4}\right)\right)\right) \]

   9. Simplified 76.0%

      \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)}\right) \]

   if -1.95e-95 < y3 < -6.2000000000000001e-189 or -2.0999999999999999e-233 < y3 < 6.49999999999999989e-233

   1. Initial program 43.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 64.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -6.2000000000000001e-189 < y3 < -2.0999999999999999e-233

   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 j around inf 69.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 69.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + -1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      2. mul-1-neg 69.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) + \color{blue}{\left(-y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)}\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      3. unsub-neg 69.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

      4. *-commutative 69.7%

         \[\leadsto j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \color{blue}{\left(b \cdot y0 - i \cdot y1\right) \cdot x}\right) \]

   5. Simplified 69.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(t \cdot \left(b \cdot y4 - i \cdot y5\right) - y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - \left(b \cdot y0 - i \cdot y1\right) \cdot x\right)} \]

   if 6.49999999999999989e-233 < y3 < 3.80000000000000023e-153

   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 y2 around inf 50.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 71.9%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 3.80000000000000023e-153 < y3 < 8.1999999999999994e193

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 55.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if 8.1999999999999994e193 < y3 < 4.0000000000000003e209

   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 y around inf 42.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.9%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 42.9%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 42.9%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 42.9%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 42.9%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 42.9%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 42.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in c around inf 85.7%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 85.7%

         \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right)} \]

      2. +-commutative 85.7%

         \[\leadsto \left(c \cdot y\right) \cdot \color{blue}{\left(y3 \cdot y4 + -1 \cdot \left(i \cdot x\right)\right)} \]

      3. mul-1-neg 85.7%

         \[\leadsto \left(c \cdot y\right) \cdot \left(y3 \cdot y4 + \color{blue}{\left(-i \cdot x\right)}\right) \]

      4. unsub-neg 85.7%

         \[\leadsto \left(c \cdot y\right) \cdot \color{blue}{\left(y3 \cdot y4 - i \cdot x\right)} \]

      5. *-commutative 85.7%

         \[\leadsto \left(c \cdot y\right) \cdot \left(y3 \cdot y4 - \color{blue}{x \cdot i}\right) \]

   8. Simplified 85.7%

      \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)} \]

   if 4.0000000000000003e209 < y3 < 3.30000000000000011e245

   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 y0 around inf 37.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 37.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 37.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 37.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 37.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 37.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 37.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 37.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 37.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in j around -inf 87.5%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 87.5%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)} \]

      2. +-commutative 87.5%

         \[\leadsto \left(j \cdot y0\right) \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)} \]

      3. mul-1-neg 87.5%

         \[\leadsto \left(j \cdot y0\right) \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right) \]

      4. unsub-neg 87.5%

         \[\leadsto \left(j \cdot y0\right) \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)} \]

      5. *-commutative 87.5%

         \[\leadsto \left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right) \]

   8. Simplified 87.5%

      \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)} \]

   if 3.30000000000000011e245 < y3

   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 y0 around inf 89.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 89.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 89.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 89.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 89.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 89.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 89.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 89.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 89.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 63.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -7 \cdot 10^{+174}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -2.6 \cdot 10^{+70}:\\ \;\;\;\;t \cdot \left(\left(j \cdot \left(b \cdot y4 - i \cdot y5\right) + z \cdot \left(c \cdot i - a \cdot b\right)\right) + y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -2.4 \cdot 10^{-5}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq -1.75 \cdot 10^{-62}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y3 \leq -1.95 \cdot 10^{-95}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -6.2 \cdot 10^{-189}:\\ \;\;\;\;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}\;y3 \leq -2.1 \cdot 10^{-233}:\\ \;\;\;\;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}\;y3 \leq 6.5 \cdot 10^{-233}:\\ \;\;\;\;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}\;y3 \leq 3.8 \cdot 10^{-153}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 8.2 \cdot 10^{+193}:\\ \;\;\;\;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}\;y3 \leq 4 \cdot 10^{+209}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;y3 \leq 3.3 \cdot 10^{+245}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 30.0% accurate, 1.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_2 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ t_3 := y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{if}\;y \leq -4.4 \cdot 10^{+209}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -9 \cdot 10^{+120}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -3.5 \cdot 10^{+62}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq -3.4 \cdot 10^{+43}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -55:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -1.6 \cdot 10^{-58}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y \leq -8.4 \cdot 10^{-110}:\\ \;\;\;\;\left(-b\right) \cdot \left(y0 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 4.1 \cdot 10^{-281}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-159}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.62 \cdot 10^{-111}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 8.2 \cdot 10^{-76}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-21}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{+82}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{+231}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{+239}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* y2 (- (* a y5) (* c y4)))))
        (t_2 (* b (* x (- (* y a) (* j y0)))))
        (t_3 (* y1 (* y2 (- (* k y4) (* x a))))))
   (if (<= y -4.4e+209)
     (* x (* y (- (* a b) (* c i))))
     (if (<= y -9e+120)
       (* i (* k (- (* y y5) (* z y1))))
       (if (<= y -3.5e+62)
         (* b (* y4 (- (* t j) (* y k))))
         (if (<= y -3.4e+43)
           (* k (* z (- (* b y0) (* i y1))))
           (if (<= y -55.0)
             t_1
             (if (<= y -1.6e-58)
               t_3
               (if (<= y -8.4e-110)
                 (* (- b) (* y0 (* x j)))
                 (if (<= y 4.1e-281)
                   t_3
                   (if (<= y 8.5e-159)
                     (* y0 (* y2 (- (* x c) (* k y5))))
                     (if (<= y 1.62e-111)
                       t_1
                       (if (<= y 8.2e-76)
                         (* b (* j (- (* t y4) (* x y0))))
                         (if (<= y 1.2e-21)
                           t_1
                           (if (<= y 2.9e+82)
                             t_2
                             (if (<= y 1.75e+231)
                               (* y0 (* y5 (- (* j y3) (* k y2))))
                               (if (<= y 1.9e+239)
                                 t_2
                                 (*
                                  y
                                  (*
                                   y3
                                   (- (* c y4) (* a y5)))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (y2 * ((a * y5) - (c * y4)));
	double t_2 = b * (x * ((y * a) - (j * y0)));
	double t_3 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y <= -4.4e+209) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -9e+120) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y <= -3.5e+62) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y <= -3.4e+43) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y <= -55.0) {
		tmp = t_1;
	} else if (y <= -1.6e-58) {
		tmp = t_3;
	} else if (y <= -8.4e-110) {
		tmp = -b * (y0 * (x * j));
	} else if (y <= 4.1e-281) {
		tmp = t_3;
	} else if (y <= 8.5e-159) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y <= 1.62e-111) {
		tmp = t_1;
	} else if (y <= 8.2e-76) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y <= 1.2e-21) {
		tmp = t_1;
	} else if (y <= 2.9e+82) {
		tmp = t_2;
	} else if (y <= 1.75e+231) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y <= 1.9e+239) {
		tmp = t_2;
	} else {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = t * (y2 * ((a * y5) - (c * y4)))
    t_2 = b * (x * ((y * a) - (j * y0)))
    t_3 = y1 * (y2 * ((k * y4) - (x * a)))
    if (y <= (-4.4d+209)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y <= (-9d+120)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y <= (-3.5d+62)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y <= (-3.4d+43)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y <= (-55.0d0)) then
        tmp = t_1
    else if (y <= (-1.6d-58)) then
        tmp = t_3
    else if (y <= (-8.4d-110)) then
        tmp = -b * (y0 * (x * j))
    else if (y <= 4.1d-281) then
        tmp = t_3
    else if (y <= 8.5d-159) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y <= 1.62d-111) then
        tmp = t_1
    else if (y <= 8.2d-76) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y <= 1.2d-21) then
        tmp = t_1
    else if (y <= 2.9d+82) then
        tmp = t_2
    else if (y <= 1.75d+231) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (y <= 1.9d+239) then
        tmp = t_2
    else
        tmp = y * (y3 * ((c * y4) - (a * 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 * (y2 * ((a * y5) - (c * y4)));
	double t_2 = b * (x * ((y * a) - (j * y0)));
	double t_3 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y <= -4.4e+209) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -9e+120) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y <= -3.5e+62) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y <= -3.4e+43) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y <= -55.0) {
		tmp = t_1;
	} else if (y <= -1.6e-58) {
		tmp = t_3;
	} else if (y <= -8.4e-110) {
		tmp = -b * (y0 * (x * j));
	} else if (y <= 4.1e-281) {
		tmp = t_3;
	} else if (y <= 8.5e-159) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y <= 1.62e-111) {
		tmp = t_1;
	} else if (y <= 8.2e-76) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y <= 1.2e-21) {
		tmp = t_1;
	} else if (y <= 2.9e+82) {
		tmp = t_2;
	} else if (y <= 1.75e+231) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y <= 1.9e+239) {
		tmp = t_2;
	} else {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (y2 * ((a * y5) - (c * y4)))
	t_2 = b * (x * ((y * a) - (j * y0)))
	t_3 = y1 * (y2 * ((k * y4) - (x * a)))
	tmp = 0
	if y <= -4.4e+209:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y <= -9e+120:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y <= -3.5e+62:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y <= -3.4e+43:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y <= -55.0:
		tmp = t_1
	elif y <= -1.6e-58:
		tmp = t_3
	elif y <= -8.4e-110:
		tmp = -b * (y0 * (x * j))
	elif y <= 4.1e-281:
		tmp = t_3
	elif y <= 8.5e-159:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y <= 1.62e-111:
		tmp = t_1
	elif y <= 8.2e-76:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y <= 1.2e-21:
		tmp = t_1
	elif y <= 2.9e+82:
		tmp = t_2
	elif y <= 1.75e+231:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif y <= 1.9e+239:
		tmp = t_2
	else:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))))
	t_2 = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	t_3 = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))))
	tmp = 0.0
	if (y <= -4.4e+209)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y <= -9e+120)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y <= -3.5e+62)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y <= -3.4e+43)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y <= -55.0)
		tmp = t_1;
	elseif (y <= -1.6e-58)
		tmp = t_3;
	elseif (y <= -8.4e-110)
		tmp = Float64(Float64(-b) * Float64(y0 * Float64(x * j)));
	elseif (y <= 4.1e-281)
		tmp = t_3;
	elseif (y <= 8.5e-159)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y <= 1.62e-111)
		tmp = t_1;
	elseif (y <= 8.2e-76)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y <= 1.2e-21)
		tmp = t_1;
	elseif (y <= 2.9e+82)
		tmp = t_2;
	elseif (y <= 1.75e+231)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y <= 1.9e+239)
		tmp = t_2;
	else
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * (y2 * ((a * y5) - (c * y4)));
	t_2 = b * (x * ((y * a) - (j * y0)));
	t_3 = y1 * (y2 * ((k * y4) - (x * a)));
	tmp = 0.0;
	if (y <= -4.4e+209)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y <= -9e+120)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y <= -3.5e+62)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y <= -3.4e+43)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y <= -55.0)
		tmp = t_1;
	elseif (y <= -1.6e-58)
		tmp = t_3;
	elseif (y <= -8.4e-110)
		tmp = -b * (y0 * (x * j));
	elseif (y <= 4.1e-281)
		tmp = t_3;
	elseif (y <= 8.5e-159)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y <= 1.62e-111)
		tmp = t_1;
	elseif (y <= 8.2e-76)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y <= 1.2e-21)
		tmp = t_1;
	elseif (y <= 2.9e+82)
		tmp = t_2;
	elseif (y <= 1.75e+231)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (y <= 1.9e+239)
		tmp = t_2;
	else
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * 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]}, Block[{t$95$3 = N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -4.4e+209], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -9e+120], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -3.5e+62], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -3.4e+43], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -55.0], t$95$1, If[LessEqual[y, -1.6e-58], t$95$3, If[LessEqual[y, -8.4e-110], N[((-b) * N[(y0 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 4.1e-281], t$95$3, If[LessEqual[y, 8.5e-159], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.62e-111], t$95$1, If[LessEqual[y, 8.2e-76], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.2e-21], t$95$1, If[LessEqual[y, 2.9e+82], t$95$2, If[LessEqual[y, 1.75e+231], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.9e+239], t$95$2, N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y < -4.3999999999999997e209

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 80.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y around inf 74.1%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if -4.3999999999999997e209 < y < -8.99999999999999953e120

   1. Initial program 21.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 52.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 52.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 52.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 52.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 58.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 58.3%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 58.3%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 58.3%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 58.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if -8.99999999999999953e120 < y < -3.49999999999999984e62

   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 b around inf 70.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.9%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -3.49999999999999984e62 < y < -3.40000000000000012e43

   1. Initial program 71.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 71.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 71.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 71.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 71.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 86.1%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -3.40000000000000012e43 < y < -55 or 8.4999999999999998e-159 < y < 1.62000000000000004e-111 or 8.1999999999999996e-76 < y < 1.2e-21

   1. Initial program 23.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 45.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 51.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -55 < y < -1.6e-58 or -8.40000000000000008e-110 < y < 4.0999999999999999e-281

   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 y2 around inf 42.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y1 around inf 39.8%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 39.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 39.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 39.8%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 39.8%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   if -1.6e-58 < y < -8.40000000000000008e-110

   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 55.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 56.3%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around 0 56.5%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(j \cdot \left(x \cdot y0\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 56.5%

         \[\leadsto \color{blue}{-b \cdot \left(j \cdot \left(x \cdot y0\right)\right)} \]

      2. distribute-rgt-neg-in 56.5%

         \[\leadsto \color{blue}{b \cdot \left(-j \cdot \left(x \cdot y0\right)\right)} \]

      3. associate-*r* 67.2%

         \[\leadsto b \cdot \left(-\color{blue}{\left(j \cdot x\right) \cdot y0}\right) \]

      4. distribute-rgt-neg-in 67.2%

         \[\leadsto b \cdot \color{blue}{\left(\left(j \cdot x\right) \cdot \left(-y0\right)\right)} \]

      5. *-commutative 67.2%

         \[\leadsto b \cdot \left(\color{blue}{\left(x \cdot j\right)} \cdot \left(-y0\right)\right) \]

   7. Simplified 67.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(x \cdot j\right) \cdot \left(-y0\right)\right)} \]

   if 4.0999999999999999e-281 < y < 8.4999999999999998e-159

   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 y2 around inf 59.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y0 around inf 55.5%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 55.5%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 55.5%

         \[\leadsto y0 \cdot \left(y2 \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      3. unsub-neg 55.5%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right) \]

   6. Simplified 55.5%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if 1.62000000000000004e-111 < y < 8.1999999999999996e-76

   1. Initial program 33.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 33.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 50.3%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 1.2e-21 < y < 2.9000000000000001e82 or 1.7499999999999999e231 < y < 1.9000000000000001e239

   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 54.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 50.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if 2.9000000000000001e82 < y < 1.7499999999999999e231

   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 y0 around inf 52.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 52.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 52.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 52.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 52.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 52.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 52.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 52.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 52.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 45.9%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   if 1.9000000000000001e239 < y

   1. Initial program 15.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 64.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 64.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 64.2%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 64.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 64.2%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 64.2%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 64.2%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 64.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around inf 51.0%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 51.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -4.4 \cdot 10^{+209}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -9 \cdot 10^{+120}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -3.5 \cdot 10^{+62}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq -3.4 \cdot 10^{+43}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -55:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1.6 \cdot 10^{-58}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y \leq -8.4 \cdot 10^{-110}:\\ \;\;\;\;\left(-b\right) \cdot \left(y0 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 4.1 \cdot 10^{-281}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y \leq 8.5 \cdot 10^{-159}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.62 \cdot 10^{-111}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 8.2 \cdot 10^{-76}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-21}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 2.9 \cdot 10^{+82}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{+231}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 1.9 \cdot 10^{+239}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 18: 31.9% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(a \cdot \left(x \cdot b\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ t_2 := y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{if}\;b \leq -3.2 \cdot 10^{+269}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -6.3 \cdot 10^{+69}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;b \leq -68000000000:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -5.8 \cdot 10^{-116}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;b \leq -3 \cdot 10^{-183}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -4.2 \cdot 10^{-204}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -6.6 \cdot 10^{-229}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -5.5 \cdot 10^{-285}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;b \leq 2.25 \cdot 10^{-172}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 1.3 \cdot 10^{-53}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 3.9 \cdot 10^{+55}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)\right)\\ \mathbf{elif}\;b \leq 5.4 \cdot 10^{+133}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;b \leq 7.4 \cdot 10^{+176}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (+ (* a (* x b)) (* k (- (* i y5) (* b y4))))))
        (t_2 (* y2 (* a (- (* t y5) (* x y1))))))
   (if (<= b -3.2e+269)
     (* x (* y0 (- (* c y2) (* b j))))
     (if (<= b -6.3e+69)
       t_1
       (if (<= b -68000000000.0)
         (* j (* x (- (* i y1) (* b y0))))
         (if (<= b -5.8e-116)
           (* (* y c) (- (* y3 y4) (* x i)))
           (if (<= b -3e-183)
             (* x (* y1 (- (* i j) (* a y2))))
             (if (<= b -4.2e-204)
               (* y5 (* i (- (* y k) (* t j))))
               (if (<= b -6.6e-229)
                 (* k (* y5 (- (* y i) (* y0 y2))))
                 (if (<= b -5.5e-285)
                   t_2
                   (if (<= b 2.25e-172)
                     (* y5 (* y0 (- (* j y3) (* k y2))))
                     (if (<= b 1.3e-53)
                       (* y2 (* y5 (- (* t a) (* k y0))))
                       (if (<= b 3.9e+55)
                         (* k (* y1 (* y4 (- y2 (/ (* z i) y4)))))
                         (if (<= b 5.4e+133)
                           t_2
                           (if (<= b 7.4e+176)
                             t_1
                             (* b (* y0 (- (* z k) (* x 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 = y * ((a * (x * b)) + (k * ((i * y5) - (b * y4))));
	double t_2 = y2 * (a * ((t * y5) - (x * y1)));
	double tmp;
	if (b <= -3.2e+269) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (b <= -6.3e+69) {
		tmp = t_1;
	} else if (b <= -68000000000.0) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (b <= -5.8e-116) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (b <= -3e-183) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (b <= -4.2e-204) {
		tmp = y5 * (i * ((y * k) - (t * j)));
	} else if (b <= -6.6e-229) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (b <= -5.5e-285) {
		tmp = t_2;
	} else if (b <= 2.25e-172) {
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	} else if (b <= 1.3e-53) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (b <= 3.9e+55) {
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	} else if (b <= 5.4e+133) {
		tmp = t_2;
	} else if (b <= 7.4e+176) {
		tmp = t_1;
	} else {
		tmp = b * (y0 * ((z * k) - (x * 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) :: tmp
    t_1 = y * ((a * (x * b)) + (k * ((i * y5) - (b * y4))))
    t_2 = y2 * (a * ((t * y5) - (x * y1)))
    if (b <= (-3.2d+269)) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else if (b <= (-6.3d+69)) then
        tmp = t_1
    else if (b <= (-68000000000.0d0)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (b <= (-5.8d-116)) then
        tmp = (y * c) * ((y3 * y4) - (x * i))
    else if (b <= (-3d-183)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (b <= (-4.2d-204)) then
        tmp = y5 * (i * ((y * k) - (t * j)))
    else if (b <= (-6.6d-229)) then
        tmp = k * (y5 * ((y * i) - (y0 * y2)))
    else if (b <= (-5.5d-285)) then
        tmp = t_2
    else if (b <= 2.25d-172) then
        tmp = y5 * (y0 * ((j * y3) - (k * y2)))
    else if (b <= 1.3d-53) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (b <= 3.9d+55) then
        tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))))
    else if (b <= 5.4d+133) then
        tmp = t_2
    else if (b <= 7.4d+176) then
        tmp = t_1
    else
        tmp = b * (y0 * ((z * k) - (x * 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 = y * ((a * (x * b)) + (k * ((i * y5) - (b * y4))));
	double t_2 = y2 * (a * ((t * y5) - (x * y1)));
	double tmp;
	if (b <= -3.2e+269) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (b <= -6.3e+69) {
		tmp = t_1;
	} else if (b <= -68000000000.0) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (b <= -5.8e-116) {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	} else if (b <= -3e-183) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (b <= -4.2e-204) {
		tmp = y5 * (i * ((y * k) - (t * j)));
	} else if (b <= -6.6e-229) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (b <= -5.5e-285) {
		tmp = t_2;
	} else if (b <= 2.25e-172) {
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	} else if (b <= 1.3e-53) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (b <= 3.9e+55) {
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	} else if (b <= 5.4e+133) {
		tmp = t_2;
	} else if (b <= 7.4e+176) {
		tmp = t_1;
	} else {
		tmp = b * (y0 * ((z * k) - (x * j)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * ((a * (x * b)) + (k * ((i * y5) - (b * y4))))
	t_2 = y2 * (a * ((t * y5) - (x * y1)))
	tmp = 0
	if b <= -3.2e+269:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	elif b <= -6.3e+69:
		tmp = t_1
	elif b <= -68000000000.0:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif b <= -5.8e-116:
		tmp = (y * c) * ((y3 * y4) - (x * i))
	elif b <= -3e-183:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif b <= -4.2e-204:
		tmp = y5 * (i * ((y * k) - (t * j)))
	elif b <= -6.6e-229:
		tmp = k * (y5 * ((y * i) - (y0 * y2)))
	elif b <= -5.5e-285:
		tmp = t_2
	elif b <= 2.25e-172:
		tmp = y5 * (y0 * ((j * y3) - (k * y2)))
	elif b <= 1.3e-53:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif b <= 3.9e+55:
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))))
	elif b <= 5.4e+133:
		tmp = t_2
	elif b <= 7.4e+176:
		tmp = t_1
	else:
		tmp = b * (y0 * ((z * k) - (x * 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(y * Float64(Float64(a * Float64(x * b)) + Float64(k * Float64(Float64(i * y5) - Float64(b * y4)))))
	t_2 = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))))
	tmp = 0.0
	if (b <= -3.2e+269)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (b <= -6.3e+69)
		tmp = t_1;
	elseif (b <= -68000000000.0)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (b <= -5.8e-116)
		tmp = Float64(Float64(y * c) * Float64(Float64(y3 * y4) - Float64(x * i)));
	elseif (b <= -3e-183)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (b <= -4.2e-204)
		tmp = Float64(y5 * Float64(i * Float64(Float64(y * k) - Float64(t * j))));
	elseif (b <= -6.6e-229)
		tmp = Float64(k * Float64(y5 * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (b <= -5.5e-285)
		tmp = t_2;
	elseif (b <= 2.25e-172)
		tmp = Float64(y5 * Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (b <= 1.3e-53)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (b <= 3.9e+55)
		tmp = Float64(k * Float64(y1 * Float64(y4 * Float64(y2 - Float64(Float64(z * i) / y4)))));
	elseif (b <= 5.4e+133)
		tmp = t_2;
	elseif (b <= 7.4e+176)
		tmp = t_1;
	else
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * 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 = y * ((a * (x * b)) + (k * ((i * y5) - (b * y4))));
	t_2 = y2 * (a * ((t * y5) - (x * y1)));
	tmp = 0.0;
	if (b <= -3.2e+269)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	elseif (b <= -6.3e+69)
		tmp = t_1;
	elseif (b <= -68000000000.0)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (b <= -5.8e-116)
		tmp = (y * c) * ((y3 * y4) - (x * i));
	elseif (b <= -3e-183)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (b <= -4.2e-204)
		tmp = y5 * (i * ((y * k) - (t * j)));
	elseif (b <= -6.6e-229)
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	elseif (b <= -5.5e-285)
		tmp = t_2;
	elseif (b <= 2.25e-172)
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	elseif (b <= 1.3e-53)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (b <= 3.9e+55)
		tmp = k * (y1 * (y4 * (y2 - ((z * i) / y4))));
	elseif (b <= 5.4e+133)
		tmp = t_2;
	elseif (b <= 7.4e+176)
		tmp = t_1;
	else
		tmp = b * (y0 * ((z * k) - (x * 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[(y * N[(N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision] + N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -3.2e+269], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -6.3e+69], t$95$1, If[LessEqual[b, -68000000000.0], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -5.8e-116], N[(N[(y * c), $MachinePrecision] * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -3e-183], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -4.2e-204], N[(y5 * N[(i * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -6.6e-229], N[(k * N[(y5 * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -5.5e-285], t$95$2, If[LessEqual[b, 2.25e-172], N[(y5 * N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.3e-53], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.9e+55], N[(k * N[(y1 * N[(y4 * N[(y2 - N[(N[(z * i), $MachinePrecision] / y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 5.4e+133], t$95$2, If[LessEqual[b, 7.4e+176], t$95$1, N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if b < -3.1999999999999999e269

   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 0.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 71.7%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   if -3.1999999999999999e269 < b < -6.30000000000000007e69 or 5.4000000000000004e133 < b < 7.39999999999999961e176

   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 y around inf 49.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 49.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 49.1%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 49.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 49.1%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 49.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 49.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 49.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 55.7%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in c around 0 57.8%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if -6.30000000000000007e69 < b < -6.8e10

   1. Initial program 17.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 47.9%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 47.9%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   if -6.8e10 < b < -5.7999999999999996e-116

   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 y around inf 42.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.9%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 42.9%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 42.9%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 42.9%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 42.9%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 42.9%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 42.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in c around inf 52.9%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 52.9%

         \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right)} \]

      2. +-commutative 52.9%

         \[\leadsto \left(c \cdot y\right) \cdot \color{blue}{\left(y3 \cdot y4 + -1 \cdot \left(i \cdot x\right)\right)} \]

      3. mul-1-neg 52.9%

         \[\leadsto \left(c \cdot y\right) \cdot \left(y3 \cdot y4 + \color{blue}{\left(-i \cdot x\right)}\right) \]

      4. unsub-neg 52.9%

         \[\leadsto \left(c \cdot y\right) \cdot \color{blue}{\left(y3 \cdot y4 - i \cdot x\right)} \]

      5. *-commutative 52.9%

         \[\leadsto \left(c \cdot y\right) \cdot \left(y3 \cdot y4 - \color{blue}{x \cdot i}\right) \]

   8. Simplified 52.9%

      \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)} \]

   if -5.7999999999999996e-116 < b < -2.9999999999999998e-183

   1. Initial program 12.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 54.2%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y1 around -inf 48.2%

      \[\leadsto \color{blue}{-1 \cdot \left(x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 48.2%

         \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

   6. Simplified 48.2%

      \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

   if -2.9999999999999998e-183 < b < -4.20000000000000018e-204

   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 y5 around -inf 60.1%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   4. Taylor expanded in i around inf 80.1%

      \[\leadsto -1 \cdot \left(y5 \cdot \color{blue}{\left(i \cdot \left(j \cdot t - k \cdot y\right)\right)}\right) \]

   if -4.20000000000000018e-204 < b < -6.60000000000000042e-229

   1. Initial program 30.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 28.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 28.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 28.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 28.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 28.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 28.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 28.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 28.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y5 around -inf 46.4%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y5 \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 46.4%

         \[\leadsto \color{blue}{-k \cdot \left(y5 \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Simplified 46.4%

      \[\leadsto \color{blue}{-k \cdot \left(y5 \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if -6.60000000000000042e-229 < b < -5.5000000000000001e-285 or 3.90000000000000027e55 < b < 5.4000000000000004e133

   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 y2 around inf 48.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around -inf 57.1%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 57.1%

         \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   6. Simplified 57.1%

      \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   if -5.5000000000000001e-285 < b < 2.25000000000000002e-172

   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 y0 around inf 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 47.7%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around 0 30.6%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 30.6%

         \[\leadsto \color{blue}{\left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right) \cdot -1} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      2. *-commutative 30.6%

         \[\leadsto \color{blue}{\left(\left(y0 \cdot \left(y2 \cdot y5\right)\right) \cdot k\right)} \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      3. *-commutative 30.6%

         \[\leadsto \left(\color{blue}{\left(\left(y2 \cdot y5\right) \cdot y0\right)} \cdot k\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      4. associate-*l* 30.5%

         \[\leadsto \left(\color{blue}{\left(y2 \cdot \left(y5 \cdot y0\right)\right)} \cdot k\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      5. *-commutative 30.5%

         \[\leadsto \left(\left(y2 \cdot \color{blue}{\left(y0 \cdot y5\right)}\right) \cdot k\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      6. associate-*r* 34.2%

         \[\leadsto \color{blue}{\left(y2 \cdot \left(\left(y0 \cdot y5\right) \cdot k\right)\right)} \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      7. *-commutative 34.2%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot \left(y0 \cdot y5\right)\right)}\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      8. associate-*r* 34.2%

         \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y0 \cdot y5\right)\right) \cdot -1\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      9. *-commutative 34.2%

         \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y0 \cdot y5\right)\right)\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      10. associate-*r* 34.2%

          \[\leadsto y2 \cdot \color{blue}{\left(\left(-1 \cdot k\right) \cdot \left(y0 \cdot y5\right)\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      11. neg-mul-1 34.2%

          \[\leadsto y2 \cdot \left(\color{blue}{\left(-k\right)} \cdot \left(y0 \cdot y5\right)\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      12. associate-*r* 34.2%

          \[\leadsto \color{blue}{\left(y2 \cdot \left(-k\right)\right) \cdot \left(y0 \cdot y5\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      13. *-commutative 34.2%

          \[\leadsto \color{blue}{\left(\left(-k\right) \cdot y2\right)} \cdot \left(y0 \cdot y5\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      14. distribute-lft-neg-in 34.2%

          \[\leadsto \color{blue}{\left(-k \cdot y2\right)} \cdot \left(y0 \cdot y5\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      15. *-commutative 34.2%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

      16. *-commutative 34.2%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \cdot j \]

      17. associate-*l* 30.5%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(y3 \cdot \left(y5 \cdot y0\right)\right)} \cdot j \]

      18. *-commutative 30.5%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \left(y3 \cdot \color{blue}{\left(y0 \cdot y5\right)}\right) \cdot j \]

      19. associate-*r* 30.5%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{y3 \cdot \left(\left(y0 \cdot y5\right) \cdot j\right)} \]

      20. *-commutative 30.5%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + y3 \cdot \color{blue}{\left(j \cdot \left(y0 \cdot y5\right)\right)} \]

      21. associate-*r* 30.5%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(y3 \cdot j\right) \cdot \left(y0 \cdot y5\right)} \]

      22. *-commutative 30.5%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(j \cdot y3\right)} \cdot \left(y0 \cdot y5\right) \]

   9. Simplified 51.3%

      \[\leadsto \color{blue}{y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   if 2.25000000000000002e-172 < b < 1.29999999999999998e-53

   1. Initial program 36.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 32.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around -inf 44.3%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 44.3%

         \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   6. Simplified 44.3%

      \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   if 1.29999999999999998e-53 < b < 3.90000000000000027e55

   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 k around inf 41.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 41.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 41.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 41.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 41.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 41.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 41.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 41.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 60.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y4 around inf 60.6%

      \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot \left(y2 + -1 \cdot \frac{i \cdot z}{y4}\right)\right)}\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 60.6%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 + \color{blue}{\left(-\frac{i \cdot z}{y4}\right)}\right)\right)\right) \]

      2. unsub-neg 60.6%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot \color{blue}{\left(y2 - \frac{i \cdot z}{y4}\right)}\right)\right) \]

      3. *-commutative 60.6%

         \[\leadsto k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{\color{blue}{z \cdot i}}{y4}\right)\right)\right) \]

   9. Simplified 60.6%

      \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)}\right) \]

   if 7.39999999999999961e176 < b

   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 b around inf 67.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 58.7%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 54.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -3.2 \cdot 10^{+269}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -6.3 \cdot 10^{+69}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq -68000000000:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq -5.8 \cdot 10^{-116}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \mathbf{elif}\;b \leq -3 \cdot 10^{-183}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -4.2 \cdot 10^{-204}:\\ \;\;\;\;y5 \cdot \left(i \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -6.6 \cdot 10^{-229}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -5.5 \cdot 10^{-285}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 2.25 \cdot 10^{-172}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq 1.3 \cdot 10^{-53}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 3.9 \cdot 10^{+55}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y4 \cdot \left(y2 - \frac{z \cdot i}{y4}\right)\right)\right)\\ \mathbf{elif}\;b \leq 5.4 \cdot 10^{+133}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 7.4 \cdot 10^{+176}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 19: 31.0% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_2 := y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{if}\;y \leq -2.8 \cdot 10^{+205}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -3 \cdot 10^{+120}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -8.2 \cdot 10^{+62}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq -8.5 \cdot 10^{+38}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -52:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -1.6 \cdot 10^{-58}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq -1.65 \cdot 10^{-179}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{-264}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq 1.06 \cdot 10^{-190}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.45 \cdot 10^{-110}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 5.7 \cdot 10^{-70}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{+115}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{+222}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* y2 (- (* a y5) (* c y4)))))
        (t_2 (* y1 (* y2 (- (* k y4) (* x a))))))
   (if (<= y -2.8e+205)
     (* x (* y (- (* a b) (* c i))))
     (if (<= y -3e+120)
       (* i (* k (- (* y y5) (* z y1))))
       (if (<= y -8.2e+62)
         (* b (* y4 (- (* t j) (* y k))))
         (if (<= y -8.5e+38)
           (* k (* z (- (* b y0) (* i y1))))
           (if (<= y -52.0)
             t_1
             (if (<= y -1.6e-58)
               t_2
               (if (<= y -1.65e-179)
                 (* j (* x (- (* i y1) (* b y0))))
                 (if (<= y 1.7e-264)
                   t_2
                   (if (<= y 1.06e-190)
                     (* y0 (* y2 (- (* x c) (* k y5))))
                     (if (<= y 2.45e-110)
                       t_1
                       (if (<= y 5.7e-70)
                         (* y5 (* y0 (- (* j y3) (* k y2))))
                         (if (<= y 2.6e+115)
                           (* x (* y0 (- (* c y2) (* b j))))
                           (if (<= y 2.6e+222)
                             (* y (* y3 (- (* c y4) (* a y5))))
                             (* (* y c) (- (* y3 y4) (* x i))))))))))))))))))

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 * (y2 * ((a * y5) - (c * y4)));
	double t_2 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y <= -2.8e+205) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -3e+120) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y <= -8.2e+62) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y <= -8.5e+38) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y <= -52.0) {
		tmp = t_1;
	} else if (y <= -1.6e-58) {
		tmp = t_2;
	} else if (y <= -1.65e-179) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y <= 1.7e-264) {
		tmp = t_2;
	} else if (y <= 1.06e-190) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y <= 2.45e-110) {
		tmp = t_1;
	} else if (y <= 5.7e-70) {
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	} else if (y <= 2.6e+115) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (y <= 2.6e+222) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	}
	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 = t * (y2 * ((a * y5) - (c * y4)))
    t_2 = y1 * (y2 * ((k * y4) - (x * a)))
    if (y <= (-2.8d+205)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y <= (-3d+120)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y <= (-8.2d+62)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y <= (-8.5d+38)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y <= (-52.0d0)) then
        tmp = t_1
    else if (y <= (-1.6d-58)) then
        tmp = t_2
    else if (y <= (-1.65d-179)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y <= 1.7d-264) then
        tmp = t_2
    else if (y <= 1.06d-190) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y <= 2.45d-110) then
        tmp = t_1
    else if (y <= 5.7d-70) then
        tmp = y5 * (y0 * ((j * y3) - (k * y2)))
    else if (y <= 2.6d+115) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else if (y <= 2.6d+222) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else
        tmp = (y * c) * ((y3 * y4) - (x * i))
    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 * (y2 * ((a * y5) - (c * y4)));
	double t_2 = y1 * (y2 * ((k * y4) - (x * a)));
	double tmp;
	if (y <= -2.8e+205) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -3e+120) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y <= -8.2e+62) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y <= -8.5e+38) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y <= -52.0) {
		tmp = t_1;
	} else if (y <= -1.6e-58) {
		tmp = t_2;
	} else if (y <= -1.65e-179) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y <= 1.7e-264) {
		tmp = t_2;
	} else if (y <= 1.06e-190) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y <= 2.45e-110) {
		tmp = t_1;
	} else if (y <= 5.7e-70) {
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	} else if (y <= 2.6e+115) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (y <= 2.6e+222) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else {
		tmp = (y * c) * ((y3 * y4) - (x * i));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (y2 * ((a * y5) - (c * y4)))
	t_2 = y1 * (y2 * ((k * y4) - (x * a)))
	tmp = 0
	if y <= -2.8e+205:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y <= -3e+120:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y <= -8.2e+62:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y <= -8.5e+38:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y <= -52.0:
		tmp = t_1
	elif y <= -1.6e-58:
		tmp = t_2
	elif y <= -1.65e-179:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y <= 1.7e-264:
		tmp = t_2
	elif y <= 1.06e-190:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y <= 2.45e-110:
		tmp = t_1
	elif y <= 5.7e-70:
		tmp = y5 * (y0 * ((j * y3) - (k * y2)))
	elif y <= 2.6e+115:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	elif y <= 2.6e+222:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	else:
		tmp = (y * c) * ((y3 * y4) - (x * i))
	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(y2 * Float64(Float64(a * y5) - Float64(c * y4))))
	t_2 = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))))
	tmp = 0.0
	if (y <= -2.8e+205)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y <= -3e+120)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y <= -8.2e+62)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y <= -8.5e+38)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y <= -52.0)
		tmp = t_1;
	elseif (y <= -1.6e-58)
		tmp = t_2;
	elseif (y <= -1.65e-179)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y <= 1.7e-264)
		tmp = t_2;
	elseif (y <= 1.06e-190)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y <= 2.45e-110)
		tmp = t_1;
	elseif (y <= 5.7e-70)
		tmp = Float64(y5 * Float64(y0 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y <= 2.6e+115)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (y <= 2.6e+222)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	else
		tmp = Float64(Float64(y * c) * Float64(Float64(y3 * y4) - Float64(x * i)));
	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 * (y2 * ((a * y5) - (c * y4)));
	t_2 = y1 * (y2 * ((k * y4) - (x * a)));
	tmp = 0.0;
	if (y <= -2.8e+205)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y <= -3e+120)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y <= -8.2e+62)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y <= -8.5e+38)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y <= -52.0)
		tmp = t_1;
	elseif (y <= -1.6e-58)
		tmp = t_2;
	elseif (y <= -1.65e-179)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y <= 1.7e-264)
		tmp = t_2;
	elseif (y <= 1.06e-190)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y <= 2.45e-110)
		tmp = t_1;
	elseif (y <= 5.7e-70)
		tmp = y5 * (y0 * ((j * y3) - (k * y2)));
	elseif (y <= 2.6e+115)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	elseif (y <= 2.6e+222)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	else
		tmp = (y * c) * ((y3 * y4) - (x * i));
	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[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -2.8e+205], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -3e+120], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -8.2e+62], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -8.5e+38], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -52.0], t$95$1, If[LessEqual[y, -1.6e-58], t$95$2, If[LessEqual[y, -1.65e-179], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.7e-264], t$95$2, If[LessEqual[y, 1.06e-190], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.45e-110], t$95$1, If[LessEqual[y, 5.7e-70], N[(y5 * N[(y0 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.6e+115], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.6e+222], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(N[(y * c), $MachinePrecision] * N[(N[(y3 * y4), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y < -2.79999999999999991e205

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 80.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y around inf 74.1%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if -2.79999999999999991e205 < y < -3e120

   1. Initial program 21.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 52.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 52.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 52.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 52.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 58.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 58.3%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 58.3%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 58.3%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 58.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if -3e120 < y < -8.19999999999999967e62

   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 b around inf 70.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.9%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -8.19999999999999967e62 < y < -8.4999999999999997e38

   1. Initial program 71.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 71.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 71.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 71.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 71.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 86.1%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -8.4999999999999997e38 < y < -52 or 1.05999999999999997e-190 < y < 2.4499999999999999e-110

   1. Initial program 22.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 41.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 45.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -52 < y < -1.6e-58 or -1.6499999999999999e-179 < y < 1.6999999999999999e-264

   1. Initial program 35.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 49.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y1 around inf 41.5%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 41.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 41.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 41.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 41.5%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   if -1.6e-58 < y < -1.6499999999999999e-179

   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 x around inf 36.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 41.1%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   if 1.6999999999999999e-264 < y < 1.05999999999999997e-190

   1. Initial program 23.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 47.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y0 around inf 47.1%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 47.1%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 47.1%

         \[\leadsto y0 \cdot \left(y2 \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      3. unsub-neg 47.1%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right) \]

   6. Simplified 47.1%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if 2.4499999999999999e-110 < y < 5.70000000000000028e-70

   1. Initial program 22.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 45.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 45.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 45.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 45.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 45.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 45.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 45.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 45.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 45.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 45.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around 0 45.2%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 45.2%

         \[\leadsto \color{blue}{\left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right) \cdot -1} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      2. *-commutative 45.2%

         \[\leadsto \color{blue}{\left(\left(y0 \cdot \left(y2 \cdot y5\right)\right) \cdot k\right)} \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      3. *-commutative 45.2%

         \[\leadsto \left(\color{blue}{\left(\left(y2 \cdot y5\right) \cdot y0\right)} \cdot k\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      4. associate-*l* 45.2%

         \[\leadsto \left(\color{blue}{\left(y2 \cdot \left(y5 \cdot y0\right)\right)} \cdot k\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      5. *-commutative 45.2%

         \[\leadsto \left(\left(y2 \cdot \color{blue}{\left(y0 \cdot y5\right)}\right) \cdot k\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      6. associate-*r* 45.3%

         \[\leadsto \color{blue}{\left(y2 \cdot \left(\left(y0 \cdot y5\right) \cdot k\right)\right)} \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      7. *-commutative 45.3%

         \[\leadsto \left(y2 \cdot \color{blue}{\left(k \cdot \left(y0 \cdot y5\right)\right)}\right) \cdot -1 + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      8. associate-*r* 45.3%

         \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y0 \cdot y5\right)\right) \cdot -1\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      9. *-commutative 45.3%

         \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y0 \cdot y5\right)\right)\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      10. associate-*r* 45.3%

          \[\leadsto y2 \cdot \color{blue}{\left(\left(-1 \cdot k\right) \cdot \left(y0 \cdot y5\right)\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      11. neg-mul-1 45.3%

          \[\leadsto y2 \cdot \left(\color{blue}{\left(-k\right)} \cdot \left(y0 \cdot y5\right)\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      12. associate-*r* 45.3%

          \[\leadsto \color{blue}{\left(y2 \cdot \left(-k\right)\right) \cdot \left(y0 \cdot y5\right)} + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      13. *-commutative 45.3%

          \[\leadsto \color{blue}{\left(\left(-k\right) \cdot y2\right)} \cdot \left(y0 \cdot y5\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      14. distribute-lft-neg-in 45.3%

          \[\leadsto \color{blue}{\left(-k \cdot y2\right)} \cdot \left(y0 \cdot y5\right) + j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right) \]

      15. *-commutative 45.3%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(y0 \cdot \left(y3 \cdot y5\right)\right) \cdot j} \]

      16. *-commutative 45.3%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \cdot j \]

      17. associate-*l* 24.0%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(y3 \cdot \left(y5 \cdot y0\right)\right)} \cdot j \]

      18. *-commutative 24.0%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \left(y3 \cdot \color{blue}{\left(y0 \cdot y5\right)}\right) \cdot j \]

      19. associate-*r* 24.0%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{y3 \cdot \left(\left(y0 \cdot y5\right) \cdot j\right)} \]

      20. *-commutative 24.0%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + y3 \cdot \color{blue}{\left(j \cdot \left(y0 \cdot y5\right)\right)} \]

      21. associate-*r* 24.0%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(y3 \cdot j\right) \cdot \left(y0 \cdot y5\right)} \]

      22. *-commutative 24.0%

          \[\leadsto \left(-k \cdot y2\right) \cdot \left(y0 \cdot y5\right) + \color{blue}{\left(j \cdot y3\right)} \cdot \left(y0 \cdot y5\right) \]

   9. Simplified 45.7%

      \[\leadsto \color{blue}{y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   if 5.70000000000000028e-70 < y < 2.6e115

   1. Initial program 23.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 37.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 50.8%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   if 2.6e115 < y < 2.6000000000000001e222

   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 y around inf 66.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 66.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 66.8%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 66.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 66.8%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 66.8%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 66.8%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 66.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around inf 44.9%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if 2.6000000000000001e222 < y

   1. Initial program 17.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 61.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 61.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 61.0%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 61.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 61.0%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 61.0%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 61.0%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 61.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in c around inf 51.6%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 51.2%

         \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right)} \]

      2. +-commutative 51.2%

         \[\leadsto \left(c \cdot y\right) \cdot \color{blue}{\left(y3 \cdot y4 + -1 \cdot \left(i \cdot x\right)\right)} \]

      3. mul-1-neg 51.2%

         \[\leadsto \left(c \cdot y\right) \cdot \left(y3 \cdot y4 + \color{blue}{\left(-i \cdot x\right)}\right) \]

      4. unsub-neg 51.2%

         \[\leadsto \left(c \cdot y\right) \cdot \color{blue}{\left(y3 \cdot y4 - i \cdot x\right)} \]

      5. *-commutative 51.2%

         \[\leadsto \left(c \cdot y\right) \cdot \left(y3 \cdot y4 - \color{blue}{x \cdot i}\right) \]

   8. Simplified 51.2%

      \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 49.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.8 \cdot 10^{+205}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -3 \cdot 10^{+120}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -8.2 \cdot 10^{+62}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq -8.5 \cdot 10^{+38}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -52:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1.6 \cdot 10^{-58}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y \leq -1.65 \cdot 10^{-179}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{-264}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y \leq 1.06 \cdot 10^{-190}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.45 \cdot 10^{-110}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 5.7 \cdot 10^{-70}:\\ \;\;\;\;y5 \cdot \left(y0 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{+115}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 2.6 \cdot 10^{+222}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot c\right) \cdot \left(y3 \cdot y4 - x \cdot i\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 20: 32.9% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -1 \cdot 10^{+167}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y1 \leq -3.6 \cdot 10^{+99}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq -5.6 \cdot 10^{+45}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -1.4 \cdot 10^{-47}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -4.8 \cdot 10^{-122}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq -4 \cdot 10^{-151}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq 7.8 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y1 \leq 2.1 \cdot 10^{-27}:\\ \;\;\;\;\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)\\ \mathbf{elif}\;y1 \leq 4.1 \cdot 10^{+43}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 2.2 \cdot 10^{+64}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 4.2 \cdot 10^{+154}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -1e+167)
   (* i (+ (* c (- (* z t) (* x y))) (* y1 (- (* x j) (* z k)))))
   (if (<= y1 -3.6e+99)
     (* x (* y0 (- (* c y2) (* b j))))
     (if (<= y1 -5.6e+45)
       (* k (* y5 (- (* y i) (* y0 y2))))
       (if (<= y1 -1.4e-47)
         (* y2 (* y5 (- (* t a) (* k y0))))
         (if (<= y1 -4.8e-122)
           (* b (* y0 (- (* z k) (* x j))))
           (if (<= y1 -4e-151)
             (* b (* x (- (* y a) (* j y0))))
             (if (<= y1 7.8e-66)
               (*
                (+
                 (- (* y3 y4) (* a (* y3 (/ y5 c))))
                 (- (* i (* k (/ y5 c))) (* x i)))
                (* y c))
               (if (<= y1 2.1e-27)
                 (* (* k y0) (- (* z b) (* y2 y5)))
                 (if (<= y1 4.1e+43)
                   (* k (* z (- (* b y0) (* i y1))))
                   (if (<= y1 2.2e+64)
                     (* x (* y1 (- (* i j) (* a y2))))
                     (if (<= y1 4.2e+154)
                       (*
                        y
                        (+
                         (* x (- (* a b) (* c i)))
                         (* k (- (* i y5) (* b y4)))))
                       (* y1 (* y2 (- (* k y4) (* x a))))))))))))))))

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 (y1 <= -1e+167) {
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	} else if (y1 <= -3.6e+99) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (y1 <= -5.6e+45) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (y1 <= -1.4e-47) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (y1 <= -4.8e-122) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y1 <= -4e-151) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y1 <= 7.8e-66) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (y1 <= 2.1e-27) {
		tmp = (k * y0) * ((z * b) - (y2 * y5));
	} else if (y1 <= 4.1e+43) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y1 <= 2.2e+64) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y1 <= 4.2e+154) {
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))));
	} else {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	}
	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 (y1 <= (-1d+167)) then
        tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))))
    else if (y1 <= (-3.6d+99)) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else if (y1 <= (-5.6d+45)) then
        tmp = k * (y5 * ((y * i) - (y0 * y2)))
    else if (y1 <= (-1.4d-47)) then
        tmp = y2 * (y5 * ((t * a) - (k * y0)))
    else if (y1 <= (-4.8d-122)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y1 <= (-4d-151)) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y1 <= 7.8d-66) then
        tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
    else if (y1 <= 2.1d-27) then
        tmp = (k * y0) * ((z * b) - (y2 * y5))
    else if (y1 <= 4.1d+43) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y1 <= 2.2d+64) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (y1 <= 4.2d+154) then
        tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))))
    else
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    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 (y1 <= -1e+167) {
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	} else if (y1 <= -3.6e+99) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (y1 <= -5.6e+45) {
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	} else if (y1 <= -1.4e-47) {
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	} else if (y1 <= -4.8e-122) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y1 <= -4e-151) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y1 <= 7.8e-66) {
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	} else if (y1 <= 2.1e-27) {
		tmp = (k * y0) * ((z * b) - (y2 * y5));
	} else if (y1 <= 4.1e+43) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y1 <= 2.2e+64) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (y1 <= 4.2e+154) {
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))));
	} else {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -1e+167:
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))))
	elif y1 <= -3.6e+99:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	elif y1 <= -5.6e+45:
		tmp = k * (y5 * ((y * i) - (y0 * y2)))
	elif y1 <= -1.4e-47:
		tmp = y2 * (y5 * ((t * a) - (k * y0)))
	elif y1 <= -4.8e-122:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y1 <= -4e-151:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y1 <= 7.8e-66:
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c)
	elif y1 <= 2.1e-27:
		tmp = (k * y0) * ((z * b) - (y2 * y5))
	elif y1 <= 4.1e+43:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y1 <= 2.2e+64:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif y1 <= 4.2e+154:
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))))
	else:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	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 (y1 <= -1e+167)
		tmp = Float64(i * Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))));
	elseif (y1 <= -3.6e+99)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (y1 <= -5.6e+45)
		tmp = Float64(k * Float64(y5 * Float64(Float64(y * i) - Float64(y0 * y2))));
	elseif (y1 <= -1.4e-47)
		tmp = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))));
	elseif (y1 <= -4.8e-122)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y1 <= -4e-151)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y1 <= 7.8e-66)
		tmp = Float64(Float64(Float64(Float64(y3 * y4) - Float64(a * Float64(y3 * Float64(y5 / c)))) + Float64(Float64(i * Float64(k * Float64(y5 / c))) - Float64(x * i))) * Float64(y * c));
	elseif (y1 <= 2.1e-27)
		tmp = Float64(Float64(k * y0) * Float64(Float64(z * b) - Float64(y2 * y5)));
	elseif (y1 <= 4.1e+43)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y1 <= 2.2e+64)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (y1 <= 4.2e+154)
		tmp = Float64(y * Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + Float64(k * Float64(Float64(i * y5) - Float64(b * y4)))));
	else
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	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 (y1 <= -1e+167)
		tmp = i * ((c * ((z * t) - (x * y))) + (y1 * ((x * j) - (z * k))));
	elseif (y1 <= -3.6e+99)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	elseif (y1 <= -5.6e+45)
		tmp = k * (y5 * ((y * i) - (y0 * y2)));
	elseif (y1 <= -1.4e-47)
		tmp = y2 * (y5 * ((t * a) - (k * y0)));
	elseif (y1 <= -4.8e-122)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y1 <= -4e-151)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y1 <= 7.8e-66)
		tmp = (((y3 * y4) - (a * (y3 * (y5 / c)))) + ((i * (k * (y5 / c))) - (x * i))) * (y * c);
	elseif (y1 <= 2.1e-27)
		tmp = (k * y0) * ((z * b) - (y2 * y5));
	elseif (y1 <= 4.1e+43)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y1 <= 2.2e+64)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (y1 <= 4.2e+154)
		tmp = y * ((x * ((a * b) - (c * i))) + (k * ((i * y5) - (b * y4))));
	else
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	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[y1, -1e+167], N[(i * N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -3.6e+99], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -5.6e+45], N[(k * N[(y5 * N[(N[(y * i), $MachinePrecision] - N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.4e-47], N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -4.8e-122], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -4e-151], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 7.8e-66], N[(N[(N[(N[(y3 * y4), $MachinePrecision] - N[(a * N[(y3 * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * N[(k * N[(y5 / c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.1e-27], N[(N[(k * y0), $MachinePrecision] * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 4.1e+43], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.2e+64], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 4.2e+154], N[(y * N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y1 < -1e167

   1. Initial program 4.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 41.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 55.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   if -1e167 < y1 < -3.6000000000000002e99

   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 33.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 67.3%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   if -3.6000000000000002e99 < y1 < -5.5999999999999999e45

   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 k around inf 45.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 45.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 45.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 45.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 45.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 45.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 45.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 45.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y5 around -inf 55.0%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y5 \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 55.0%

         \[\leadsto \color{blue}{-k \cdot \left(y5 \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   8. Simplified 55.0%

      \[\leadsto \color{blue}{-k \cdot \left(y5 \cdot \left(y0 \cdot y2 - i \cdot y\right)\right)} \]

   if -5.5999999999999999e45 < y1 < -1.39999999999999996e-47

   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 y2 around inf 35.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around -inf 42.5%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 42.5%

         \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   6. Simplified 42.5%

      \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   if -1.39999999999999996e-47 < y1 < -4.79999999999999975e-122

   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 b around inf 52.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 48.9%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -4.79999999999999975e-122 < y1 < -3.9999999999999998e-151

   1. Initial program 11.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 31.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 71.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -3.9999999999999998e-151 < y1 < 7.79999999999999965e-66

   1. Initial program 32.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 42.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 42.1%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 42.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 42.1%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 42.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 42.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 42.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in c around inf 40.2%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{y \cdot \left(\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}{c}\right)} \]
   7. Step-by-step derivation

      1. associate-/l* 41.5%

         \[\leadsto c \cdot \left(y \cdot \left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \color{blue}{y \cdot \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}}\right) \]

      2. distribute-lft-out 44.2%

         \[\leadsto c \cdot \color{blue}{\left(y \cdot \left(\left(-1 \cdot \left(i \cdot x\right) + y3 \cdot y4\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right)} \]

      3. +-commutative 44.2%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{\left(y3 \cdot y4 + -1 \cdot \left(i \cdot x\right)\right)} + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      4. mul-1-neg 44.2%

         \[\leadsto c \cdot \left(y \cdot \left(\left(y3 \cdot y4 + \color{blue}{\left(-i \cdot x\right)}\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      5. unsub-neg 44.2%

         \[\leadsto c \cdot \left(y \cdot \left(\color{blue}{\left(y3 \cdot y4 - i \cdot x\right)} + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

      6. *-commutative 44.2%

         \[\leadsto c \cdot \left(y \cdot \left(\left(y3 \cdot y4 - \color{blue}{x \cdot i}\right) + \frac{\left(-1 \cdot \left(a \cdot \left(y3 \cdot y5\right)\right) + a \cdot \left(b \cdot x\right)\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right) \]

   8. Simplified 44.2%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(y3 \cdot y4 - x \cdot i\right) + \frac{a \cdot \left(x \cdot b - y3 \cdot y5\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)}{c}\right)\right)} \]

   9. Taylor expanded in b around 0 48.3%

      \[\leadsto \color{blue}{c \cdot \left(y \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 48.2%

          \[\leadsto \color{blue}{\left(c \cdot y\right) \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right)} \]

       2. *-commutative 48.2%

          \[\leadsto \color{blue}{\left(y \cdot c\right)} \cdot \left(\left(-1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c} + y3 \cdot y4\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       3. +-commutative 48.2%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\color{blue}{\left(y3 \cdot y4 + -1 \cdot \frac{a \cdot \left(y3 \cdot y5\right)}{c}\right)} - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       4. mul-1-neg 48.2%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 + \color{blue}{\left(-\frac{a \cdot \left(y3 \cdot y5\right)}{c}\right)}\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       5. unsub-neg 48.2%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\color{blue}{\left(y3 \cdot y4 - \frac{a \cdot \left(y3 \cdot y5\right)}{c}\right)} - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       6. associate-/l* 50.7%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - \color{blue}{a \cdot \frac{y3 \cdot y5}{c}}\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       7. associate-/l* 49.5%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \color{blue}{\left(y3 \cdot \frac{y5}{c}\right)}\right) - \left(-1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c} + i \cdot x\right)\right) \]

       8. +-commutative 49.5%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \color{blue}{\left(i \cdot x + -1 \cdot \frac{i \cdot \left(k \cdot y5\right)}{c}\right)}\right) \]

       9. mul-1-neg 49.5%

          \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(i \cdot x + \color{blue}{\left(-\frac{i \cdot \left(k \cdot y5\right)}{c}\right)}\right)\right) \]

       10. unsub-neg 49.5%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \color{blue}{\left(i \cdot x - \frac{i \cdot \left(k \cdot y5\right)}{c}\right)}\right) \]

       11. *-commutative 49.5%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(\color{blue}{x \cdot i} - \frac{i \cdot \left(k \cdot y5\right)}{c}\right)\right) \]

       12. associate-/l* 49.5%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(x \cdot i - \color{blue}{i \cdot \frac{k \cdot y5}{c}}\right)\right) \]

       13. associate-/l* 48.0%

           \[\leadsto \left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(x \cdot i - i \cdot \color{blue}{\left(k \cdot \frac{y5}{c}\right)}\right)\right) \]

   11. Simplified 48.0%

       \[\leadsto \color{blue}{\left(y \cdot c\right) \cdot \left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) - \left(x \cdot i - i \cdot \left(k \cdot \frac{y5}{c}\right)\right)\right)} \]

   if 7.79999999999999965e-66 < y1 < 2.10000000000000015e-27

   1. Initial program 66.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 67.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 67.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 67.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 67.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 67.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 67.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 67.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 67.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 67.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 67.4%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 67.4%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 67.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 67.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 67.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 67.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 67.4%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   if 2.10000000000000015e-27 < y1 < 4.1e43

   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 k around inf 45.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 45.9%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 45.9%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 45.9%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 45.9%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 45.9%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 45.9%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 45.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 55.6%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if 4.1e43 < y1 < 2.20000000000000002e64

   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 x around inf 52.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y1 around -inf 64.2%

      \[\leadsto \color{blue}{-1 \cdot \left(x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 64.2%

         \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

   6. Simplified 64.2%

      \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

   if 2.20000000000000002e64 < y1 < 4.19999999999999989e154

   1. Initial program 23.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 46.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 46.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 46.2%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 46.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 46.2%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 46.2%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 46.2%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 46.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 42.6%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 4.19999999999999989e154 < y1

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 53.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y1 around inf 54.0%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 54.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 54.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 54.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 54.0%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 52.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -1 \cdot 10^{+167}:\\ \;\;\;\;i \cdot \left(c \cdot \left(z \cdot t - x \cdot y\right) + y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y1 \leq -3.6 \cdot 10^{+99}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq -5.6 \cdot 10^{+45}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y \cdot i - y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -1.4 \cdot 10^{-47}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -4.8 \cdot 10^{-122}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq -4 \cdot 10^{-151}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq 7.8 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(y3 \cdot y4 - a \cdot \left(y3 \cdot \frac{y5}{c}\right)\right) + \left(i \cdot \left(k \cdot \frac{y5}{c}\right) - x \cdot i\right)\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y1 \leq 2.1 \cdot 10^{-27}:\\ \;\;\;\;\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)\\ \mathbf{elif}\;y1 \leq 4.1 \cdot 10^{+43}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq 2.2 \cdot 10^{+64}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 4.2 \cdot 10^{+154}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 21: 32.8% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ t_2 := k \cdot \left(i \cdot y5 - b \cdot y4\right)\\ t_3 := y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + t\_2\right)\\ t_4 := y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{if}\;y5 \leq -6.8 \cdot 10^{+161}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq -8 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right) + t\_2\right)\\ \mathbf{elif}\;y5 \leq -3 \cdot 10^{+38}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.2 \cdot 10^{-304}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{-155}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 9 \cdot 10^{-92}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 3.8 \cdot 10^{-80}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 8 \cdot 10^{-38}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y5 \leq 1.5 \cdot 10^{+139}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(j \cdot y0 - y \cdot a\right)\right)\\ \mathbf{elif}\;y5 \leq 1.6 \cdot 10^{+177}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y5 \leq 5.6 \cdot 10^{+185}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 7 \cdot 10^{+220}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t\_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y2 (* y5 (- (* t a) (* k y0)))))
        (t_2 (* k (- (* i y5) (* b y4))))
        (t_3 (* y (+ (* x (- (* a b) (* c i))) t_2)))
        (t_4 (* y2 (* a (- (* t y5) (* x y1))))))
   (if (<= y5 -6.8e+161)
     t_1
     (if (<= y5 -8e+106)
       (* y (+ (* a (* x b)) t_2))
       (if (<= y5 -3e+38)
         (* k (* z (- (* b y0) (* i y1))))
         (if (<= y5 1.2e-304)
           t_3
           (if (<= y5 2.6e-155)
             (* y1 (* y3 (- (* z a) (* j y4))))
             (if (<= y5 9e-92)
               (* i (* k (- (* y y5) (* z y1))))
               (if (<= y5 3.8e-80)
                 (* k (* y1 (* y2 y4)))
                 (if (<= y5 8e-38)
                   t_3
                   (if (<= y5 1.5e+139)
                     (* y3 (* y5 (- (* j y0) (* y a))))
                     (if (<= y5 1.6e+177)
                       t_4
                       (if (<= y5 5.6e+185)
                         (* y1 (* y2 (* k y4)))
                         (if (<= y5 7e+220) t_1 t_4))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * (y5 * ((t * a) - (k * y0)));
	double t_2 = k * ((i * y5) - (b * y4));
	double t_3 = y * ((x * ((a * b) - (c * i))) + t_2);
	double t_4 = y2 * (a * ((t * y5) - (x * y1)));
	double tmp;
	if (y5 <= -6.8e+161) {
		tmp = t_1;
	} else if (y5 <= -8e+106) {
		tmp = y * ((a * (x * b)) + t_2);
	} else if (y5 <= -3e+38) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= 1.2e-304) {
		tmp = t_3;
	} else if (y5 <= 2.6e-155) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y5 <= 9e-92) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y5 <= 3.8e-80) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y5 <= 8e-38) {
		tmp = t_3;
	} else if (y5 <= 1.5e+139) {
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	} else if (y5 <= 1.6e+177) {
		tmp = t_4;
	} else if (y5 <= 5.6e+185) {
		tmp = y1 * (y2 * (k * y4));
	} else if (y5 <= 7e+220) {
		tmp = t_1;
	} else {
		tmp = t_4;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = y2 * (y5 * ((t * a) - (k * y0)))
    t_2 = k * ((i * y5) - (b * y4))
    t_3 = y * ((x * ((a * b) - (c * i))) + t_2)
    t_4 = y2 * (a * ((t * y5) - (x * y1)))
    if (y5 <= (-6.8d+161)) then
        tmp = t_1
    else if (y5 <= (-8d+106)) then
        tmp = y * ((a * (x * b)) + t_2)
    else if (y5 <= (-3d+38)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y5 <= 1.2d-304) then
        tmp = t_3
    else if (y5 <= 2.6d-155) then
        tmp = y1 * (y3 * ((z * a) - (j * y4)))
    else if (y5 <= 9d-92) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y5 <= 3.8d-80) then
        tmp = k * (y1 * (y2 * y4))
    else if (y5 <= 8d-38) then
        tmp = t_3
    else if (y5 <= 1.5d+139) then
        tmp = y3 * (y5 * ((j * y0) - (y * a)))
    else if (y5 <= 1.6d+177) then
        tmp = t_4
    else if (y5 <= 5.6d+185) then
        tmp = y1 * (y2 * (k * y4))
    else if (y5 <= 7d+220) then
        tmp = t_1
    else
        tmp = t_4
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * (y5 * ((t * a) - (k * y0)));
	double t_2 = k * ((i * y5) - (b * y4));
	double t_3 = y * ((x * ((a * b) - (c * i))) + t_2);
	double t_4 = y2 * (a * ((t * y5) - (x * y1)));
	double tmp;
	if (y5 <= -6.8e+161) {
		tmp = t_1;
	} else if (y5 <= -8e+106) {
		tmp = y * ((a * (x * b)) + t_2);
	} else if (y5 <= -3e+38) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y5 <= 1.2e-304) {
		tmp = t_3;
	} else if (y5 <= 2.6e-155) {
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	} else if (y5 <= 9e-92) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y5 <= 3.8e-80) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y5 <= 8e-38) {
		tmp = t_3;
	} else if (y5 <= 1.5e+139) {
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	} else if (y5 <= 1.6e+177) {
		tmp = t_4;
	} else if (y5 <= 5.6e+185) {
		tmp = y1 * (y2 * (k * y4));
	} else if (y5 <= 7e+220) {
		tmp = t_1;
	} else {
		tmp = t_4;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y2 * (y5 * ((t * a) - (k * y0)))
	t_2 = k * ((i * y5) - (b * y4))
	t_3 = y * ((x * ((a * b) - (c * i))) + t_2)
	t_4 = y2 * (a * ((t * y5) - (x * y1)))
	tmp = 0
	if y5 <= -6.8e+161:
		tmp = t_1
	elif y5 <= -8e+106:
		tmp = y * ((a * (x * b)) + t_2)
	elif y5 <= -3e+38:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y5 <= 1.2e-304:
		tmp = t_3
	elif y5 <= 2.6e-155:
		tmp = y1 * (y3 * ((z * a) - (j * y4)))
	elif y5 <= 9e-92:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y5 <= 3.8e-80:
		tmp = k * (y1 * (y2 * y4))
	elif y5 <= 8e-38:
		tmp = t_3
	elif y5 <= 1.5e+139:
		tmp = y3 * (y5 * ((j * y0) - (y * a)))
	elif y5 <= 1.6e+177:
		tmp = t_4
	elif y5 <= 5.6e+185:
		tmp = y1 * (y2 * (k * y4))
	elif y5 <= 7e+220:
		tmp = t_1
	else:
		tmp = t_4
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y2 * Float64(y5 * Float64(Float64(t * a) - Float64(k * y0))))
	t_2 = Float64(k * Float64(Float64(i * y5) - Float64(b * y4)))
	t_3 = Float64(y * Float64(Float64(x * Float64(Float64(a * b) - Float64(c * i))) + t_2))
	t_4 = Float64(y2 * Float64(a * Float64(Float64(t * y5) - Float64(x * y1))))
	tmp = 0.0
	if (y5 <= -6.8e+161)
		tmp = t_1;
	elseif (y5 <= -8e+106)
		tmp = Float64(y * Float64(Float64(a * Float64(x * b)) + t_2));
	elseif (y5 <= -3e+38)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y5 <= 1.2e-304)
		tmp = t_3;
	elseif (y5 <= 2.6e-155)
		tmp = Float64(y1 * Float64(y3 * Float64(Float64(z * a) - Float64(j * y4))));
	elseif (y5 <= 9e-92)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y5 <= 3.8e-80)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (y5 <= 8e-38)
		tmp = t_3;
	elseif (y5 <= 1.5e+139)
		tmp = Float64(y3 * Float64(y5 * Float64(Float64(j * y0) - Float64(y * a))));
	elseif (y5 <= 1.6e+177)
		tmp = t_4;
	elseif (y5 <= 5.6e+185)
		tmp = Float64(y1 * Float64(y2 * Float64(k * y4)));
	elseif (y5 <= 7e+220)
		tmp = t_1;
	else
		tmp = t_4;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y2 * (y5 * ((t * a) - (k * y0)));
	t_2 = k * ((i * y5) - (b * y4));
	t_3 = y * ((x * ((a * b) - (c * i))) + t_2);
	t_4 = y2 * (a * ((t * y5) - (x * y1)));
	tmp = 0.0;
	if (y5 <= -6.8e+161)
		tmp = t_1;
	elseif (y5 <= -8e+106)
		tmp = y * ((a * (x * b)) + t_2);
	elseif (y5 <= -3e+38)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y5 <= 1.2e-304)
		tmp = t_3;
	elseif (y5 <= 2.6e-155)
		tmp = y1 * (y3 * ((z * a) - (j * y4)));
	elseif (y5 <= 9e-92)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y5 <= 3.8e-80)
		tmp = k * (y1 * (y2 * y4));
	elseif (y5 <= 8e-38)
		tmp = t_3;
	elseif (y5 <= 1.5e+139)
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	elseif (y5 <= 1.6e+177)
		tmp = t_4;
	elseif (y5 <= 5.6e+185)
		tmp = y1 * (y2 * (k * y4));
	elseif (y5 <= 7e+220)
		tmp = t_1;
	else
		tmp = t_4;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y2 * N[(y5 * N[(N[(t * a), $MachinePrecision] - N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y * N[(N[(x * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y2 * N[(a * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -6.8e+161], t$95$1, If[LessEqual[y5, -8e+106], N[(y * N[(N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -3e+38], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.2e-304], t$95$3, If[LessEqual[y5, 2.6e-155], N[(y1 * N[(y3 * N[(N[(z * a), $MachinePrecision] - N[(j * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9e-92], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 3.8e-80], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 8e-38], t$95$3, If[LessEqual[y5, 1.5e+139], N[(y3 * N[(y5 * N[(N[(j * y0), $MachinePrecision] - N[(y * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.6e+177], t$95$4, If[LessEqual[y5, 5.6e+185], N[(y1 * N[(y2 * N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 7e+220], t$95$1, t$95$4]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y5 < -6.79999999999999986e161 or 5.59999999999999964e185 < y5 < 6.99999999999999972e220

   1. Initial program 19.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 49.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y5 around -inf 62.6%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 62.6%

         \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   6. Simplified 62.6%

      \[\leadsto y2 \cdot \color{blue}{\left(-y5 \cdot \left(k \cdot y0 - a \cdot t\right)\right)} \]

   if -6.79999999999999986e161 < y5 < -8.00000000000000073e106

   1. Initial program 40.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 50.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 50.1%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 50.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 50.1%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 50.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 50.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 50.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 50.2%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in c around 0 60.2%

      \[\leadsto \color{blue}{y \cdot \left(a \cdot \left(b \cdot x\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if -8.00000000000000073e106 < y5 < -3.0000000000000001e38

   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 k around inf 43.8%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.8%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 43.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 43.8%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 43.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 43.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 43.8%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 43.8%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 57.2%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -3.0000000000000001e38 < y5 < 1.2e-304 or 3.79999999999999967e-80 < y5 < 7.9999999999999997e-38

   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 y around inf 49.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 49.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 49.6%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 49.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 49.6%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 49.6%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 49.6%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 49.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 44.4%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   if 1.2e-304 < y5 < 2.60000000000000008e-155

   1. Initial program 36.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 43.9%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y1 around inf 34.9%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 34.9%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right)\right) \]

      2. mul-1-neg 34.9%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right)\right) \]

      3. unsub-neg 34.9%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right)\right) \]

   6. Simplified 34.9%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 - a \cdot z\right)\right)\right)} \]

   if 2.60000000000000008e-155 < y5 < 9.0000000000000001e-92

   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 k around inf 50.1%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.1%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 50.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 50.1%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 50.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 50.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 50.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 50.1%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 75.2%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 75.2%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 75.2%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 75.2%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 75.2%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if 9.0000000000000001e-92 < y5 < 3.79999999999999967e-80

   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 k around inf 34.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 34.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 34.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 34.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 34.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 34.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 34.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 34.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 67.7%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around inf 67.7%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]

   if 7.9999999999999997e-38 < y5 < 1.5e139

   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 y3 around -inf 44.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y5 around -inf 54.0%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(y3 \cdot \left(y5 \cdot \left(j \cdot y0 - a \cdot y\right)\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 54.0%

         \[\leadsto -1 \cdot \color{blue}{\left(-y3 \cdot \left(y5 \cdot \left(j \cdot y0 - a \cdot y\right)\right)\right)} \]

   6. Simplified 54.0%

      \[\leadsto -1 \cdot \color{blue}{\left(-y3 \cdot \left(y5 \cdot \left(j \cdot y0 - a \cdot y\right)\right)\right)} \]

   if 1.5e139 < y5 < 1.6e177 or 6.99999999999999972e220 < y5

   1. Initial program 16.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 43.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around -inf 61.0%

      \[\leadsto y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)\right)} \]
   5. Step-by-step derivation

      1. mul-1-neg 61.0%

         \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   6. Simplified 61.0%

      \[\leadsto y2 \cdot \color{blue}{\left(-a \cdot \left(x \cdot y1 - t \cdot y5\right)\right)} \]

   if 1.6e177 < y5 < 5.59999999999999964e185

   1. Initial program 49.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 49.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y1 around inf 100.0%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 100.0%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 100.0%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]

   9. Simplified 100.0%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]
3. Recombined 10 regimes into one program.

4. Final simplification 51.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -6.8 \cdot 10^{+161}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -8 \cdot 10^{+106}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq -3 \cdot 10^{+38}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.2 \cdot 10^{-304}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 2.6 \cdot 10^{-155}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(z \cdot a - j \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 9 \cdot 10^{-92}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 3.8 \cdot 10^{-80}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 8 \cdot 10^{-38}:\\ \;\;\;\;y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) + k \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 1.5 \cdot 10^{+139}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(j \cdot y0 - y \cdot a\right)\right)\\ \mathbf{elif}\;y5 \leq 1.6 \cdot 10^{+177}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 5.6 \cdot 10^{+185}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 7 \cdot 10^{+220}:\\ \;\;\;\;y2 \cdot \left(y5 \cdot \left(t \cdot a - k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 22: 30.7% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_2 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{if}\;y2 \leq -1.45 \cdot 10^{+229}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -4.4 \cdot 10^{+144}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -7.5 \cdot 10^{+56}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -3.4 \cdot 10^{-84}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -4.5 \cdot 10^{-224}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.28 \cdot 10^{-194}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{-106}:\\ \;\;\;\;\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)\\ \mathbf{elif}\;y2 \leq 1.32 \cdot 10^{-86}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.12 \cdot 10^{-17}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq 0.052:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{+151}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq 3.3 \cdot 10^{+191}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* y2 (- (* a y5) (* c y4)))))
        (t_2 (* k (* z (- (* b y0) (* i y1))))))
   (if (<= y2 -1.45e+229)
     t_1
     (if (<= y2 -4.4e+144)
       (* c (* y0 (- (* x y2) (* z y3))))
       (if (<= y2 -7.5e+56)
         (* y0 (* y2 (- (* x c) (* k y5))))
         (if (<= y2 -3.4e-84)
           t_1
           (if (<= y2 -4.5e-224)
             (* y (* y3 (- (* c y4) (* a y5))))
             (if (<= y2 1.28e-194)
               (* b (* x (- (* y a) (* j y0))))
               (if (<= y2 1.7e-106)
                 (* (* k y0) (- (* z b) (* y2 y5)))
                 (if (<= y2 1.32e-86)
                   (* k (* y2 (- (* y1 y4) (* y0 y5))))
                   (if (<= y2 1.12e-17)
                     t_2
                     (if (<= y2 0.052)
                       (* (* j y0) (- (* y3 y5) (* x b)))
                       (if (<= y2 6.2e+151)
                         t_2
                         (if (<= y2 3.3e+191)
                           (* x (* y0 (- (* c y2) (* b j))))
                           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 = t * (y2 * ((a * y5) - (c * y4)));
	double t_2 = k * (z * ((b * y0) - (i * y1)));
	double tmp;
	if (y2 <= -1.45e+229) {
		tmp = t_1;
	} else if (y2 <= -4.4e+144) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -7.5e+56) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y2 <= -3.4e-84) {
		tmp = t_1;
	} else if (y2 <= -4.5e-224) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y2 <= 1.28e-194) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y2 <= 1.7e-106) {
		tmp = (k * y0) * ((z * b) - (y2 * y5));
	} else if (y2 <= 1.32e-86) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y2 <= 1.12e-17) {
		tmp = t_2;
	} else if (y2 <= 0.052) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else if (y2 <= 6.2e+151) {
		tmp = t_2;
	} else if (y2 <= 3.3e+191) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} 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 = t * (y2 * ((a * y5) - (c * y4)))
    t_2 = k * (z * ((b * y0) - (i * y1)))
    if (y2 <= (-1.45d+229)) then
        tmp = t_1
    else if (y2 <= (-4.4d+144)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y2 <= (-7.5d+56)) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y2 <= (-3.4d-84)) then
        tmp = t_1
    else if (y2 <= (-4.5d-224)) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    else if (y2 <= 1.28d-194) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y2 <= 1.7d-106) then
        tmp = (k * y0) * ((z * b) - (y2 * y5))
    else if (y2 <= 1.32d-86) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y2 <= 1.12d-17) then
        tmp = t_2
    else if (y2 <= 0.052d0) then
        tmp = (j * y0) * ((y3 * y5) - (x * b))
    else if (y2 <= 6.2d+151) then
        tmp = t_2
    else if (y2 <= 3.3d+191) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    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 = t * (y2 * ((a * y5) - (c * y4)));
	double t_2 = k * (z * ((b * y0) - (i * y1)));
	double tmp;
	if (y2 <= -1.45e+229) {
		tmp = t_1;
	} else if (y2 <= -4.4e+144) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y2 <= -7.5e+56) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y2 <= -3.4e-84) {
		tmp = t_1;
	} else if (y2 <= -4.5e-224) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} else if (y2 <= 1.28e-194) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y2 <= 1.7e-106) {
		tmp = (k * y0) * ((z * b) - (y2 * y5));
	} else if (y2 <= 1.32e-86) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y2 <= 1.12e-17) {
		tmp = t_2;
	} else if (y2 <= 0.052) {
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	} else if (y2 <= 6.2e+151) {
		tmp = t_2;
	} else if (y2 <= 3.3e+191) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} 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 = t * (y2 * ((a * y5) - (c * y4)))
	t_2 = k * (z * ((b * y0) - (i * y1)))
	tmp = 0
	if y2 <= -1.45e+229:
		tmp = t_1
	elif y2 <= -4.4e+144:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y2 <= -7.5e+56:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y2 <= -3.4e-84:
		tmp = t_1
	elif y2 <= -4.5e-224:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	elif y2 <= 1.28e-194:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y2 <= 1.7e-106:
		tmp = (k * y0) * ((z * b) - (y2 * y5))
	elif y2 <= 1.32e-86:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y2 <= 1.12e-17:
		tmp = t_2
	elif y2 <= 0.052:
		tmp = (j * y0) * ((y3 * y5) - (x * b))
	elif y2 <= 6.2e+151:
		tmp = t_2
	elif y2 <= 3.3e+191:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	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(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))))
	t_2 = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))))
	tmp = 0.0
	if (y2 <= -1.45e+229)
		tmp = t_1;
	elseif (y2 <= -4.4e+144)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y2 <= -7.5e+56)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y2 <= -3.4e-84)
		tmp = t_1;
	elseif (y2 <= -4.5e-224)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	elseif (y2 <= 1.28e-194)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y2 <= 1.7e-106)
		tmp = Float64(Float64(k * y0) * Float64(Float64(z * b) - Float64(y2 * y5)));
	elseif (y2 <= 1.32e-86)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y2 <= 1.12e-17)
		tmp = t_2;
	elseif (y2 <= 0.052)
		tmp = Float64(Float64(j * y0) * Float64(Float64(y3 * y5) - Float64(x * b)));
	elseif (y2 <= 6.2e+151)
		tmp = t_2;
	elseif (y2 <= 3.3e+191)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	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 = t * (y2 * ((a * y5) - (c * y4)));
	t_2 = k * (z * ((b * y0) - (i * y1)));
	tmp = 0.0;
	if (y2 <= -1.45e+229)
		tmp = t_1;
	elseif (y2 <= -4.4e+144)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y2 <= -7.5e+56)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y2 <= -3.4e-84)
		tmp = t_1;
	elseif (y2 <= -4.5e-224)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	elseif (y2 <= 1.28e-194)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y2 <= 1.7e-106)
		tmp = (k * y0) * ((z * b) - (y2 * y5));
	elseif (y2 <= 1.32e-86)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y2 <= 1.12e-17)
		tmp = t_2;
	elseif (y2 <= 0.052)
		tmp = (j * y0) * ((y3 * y5) - (x * b));
	elseif (y2 <= 6.2e+151)
		tmp = t_2;
	elseif (y2 <= 3.3e+191)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	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[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -1.45e+229], t$95$1, If[LessEqual[y2, -4.4e+144], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -7.5e+56], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -3.4e-84], t$95$1, If[LessEqual[y2, -4.5e-224], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.28e-194], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.7e-106], N[(N[(k * y0), $MachinePrecision] * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.32e-86], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.12e-17], t$95$2, If[LessEqual[y2, 0.052], N[(N[(j * y0), $MachinePrecision] * N[(N[(y3 * y5), $MachinePrecision] - N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.2e+151], t$95$2, If[LessEqual[y2, 3.3e+191], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y2 < -1.44999999999999991e229 or -7.4999999999999999e56 < y2 < -3.40000000000000021e-84 or 3.2999999999999998e191 < y2

   1. Initial program 21.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 55.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 52.8%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -1.44999999999999991e229 < y2 < -4.39999999999999976e144

   1. Initial program 6.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 50.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 50.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 50.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 50.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 50.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 50.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 50.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 50.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in c around inf 69.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 69.2%

         \[\leadsto c \cdot \color{blue}{\left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   8. Simplified 69.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   if -4.39999999999999976e144 < y2 < -7.4999999999999999e56

   1. Initial program 15.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 54.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y0 around inf 62.8%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 62.8%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 62.8%

         \[\leadsto y0 \cdot \left(y2 \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      3. unsub-neg 62.8%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right) \]

   6. Simplified 62.8%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if -3.40000000000000021e-84 < y2 < -4.5000000000000004e-224

   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 y around inf 42.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 42.7%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 42.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 42.7%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 42.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 42.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 42.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around inf 47.2%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if -4.5000000000000004e-224 < y2 < 1.2800000000000001e-194

   1. Initial program 41.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 56.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 48.4%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if 1.2800000000000001e-194 < y2 < 1.69999999999999991e-106

   1. Initial program 40.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 51.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 51.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 51.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 51.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 51.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 41.3%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 41.3%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 41.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 41.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 41.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 41.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 41.3%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   if 1.69999999999999991e-106 < y2 < 1.32e-86

   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 y2 around inf 50.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in k around inf 66.9%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if 1.32e-86 < y2 < 1.12000000000000005e-17 or 0.0519999999999999976 < y2 < 6.2000000000000004e151

   1. Initial program 26.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 42.3%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.3%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 42.3%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 42.3%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 42.3%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 42.3%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 42.3%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 42.3%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 47.7%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if 1.12000000000000005e-17 < y2 < 0.0519999999999999976

   1. Initial program 60.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 61.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 61.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 61.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 61.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 61.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 61.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 61.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 61.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 61.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in j around -inf 61.1%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 61.1%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)} \]

      2. +-commutative 61.1%

         \[\leadsto \left(j \cdot y0\right) \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)} \]

      3. mul-1-neg 61.1%

         \[\leadsto \left(j \cdot y0\right) \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right) \]

      4. unsub-neg 61.1%

         \[\leadsto \left(j \cdot y0\right) \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)} \]

      5. *-commutative 61.1%

         \[\leadsto \left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right) \]

   8. Simplified 61.1%

      \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)} \]

   if 6.2000000000000004e151 < y2 < 3.2999999999999998e191

   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 x around inf 50.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 59.9%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 52.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.45 \cdot 10^{+229}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -4.4 \cdot 10^{+144}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y2 \leq -7.5 \cdot 10^{+56}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -3.4 \cdot 10^{-84}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq -4.5 \cdot 10^{-224}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.28 \cdot 10^{-194}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 1.7 \cdot 10^{-106}:\\ \;\;\;\;\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)\\ \mathbf{elif}\;y2 \leq 1.32 \cdot 10^{-86}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.12 \cdot 10^{-17}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 0.052:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5 - x \cdot b\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{+151}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq 3.3 \cdot 10^{+191}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 23: 30.4% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ t_2 := k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{if}\;c \leq -0.04:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -9.2 \cdot 10^{-54}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -1.65 \cdot 10^{-167}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;c \leq -1.75 \cdot 10^{-258}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 2.35 \cdot 10^{-248}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{-229}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{-125}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 11200000000:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{+71}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;c \leq 3.4 \cdot 10^{+143}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 10^{+194}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 7.2 \cdot 10^{+284}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-c\right) \cdot \left(\left(x \cdot i\right) \cdot y\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* z (- (* b y0) (* i y1)))))
        (t_2 (* k (* y1 (- (* y2 y4) (* z i))))))
   (if (<= c -0.04)
     (* x (* y0 (- (* c y2) (* b j))))
     (if (<= c -9.2e-54)
       (* b (* j (- (* t y4) (* x y0))))
       (if (<= c -1.65e-167)
         t_2
         (if (<= c -1.75e-258)
           (* k (* y2 (- (* y1 y4) (* y0 y5))))
           (if (<= c 2.35e-248)
             t_1
             (if (<= c 4.2e-229)
               t_2
               (if (<= c 4.2e-125)
                 (* i (* k (- (* y y5) (* z y1))))
                 (if (<= c 11200000000.0)
                   (* b (* x (- (* y a) (* j y0))))
                   (if (<= c 8.5e+71)
                     t_1
                     (if (<= c 3.4e+143)
                       (* k (* y (- (* i y5) (* b y4))))
                       (if (<= c 1e+194)
                         (* b (* t (- (* j y4) (* z a))))
                         (if (<= c 7.2e+284)
                           (* c (* y0 (- (* x y2) (* z y3))))
                           (* (- c) (* (* x i) y))))))))))))))))

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 * (z * ((b * y0) - (i * y1)));
	double t_2 = k * (y1 * ((y2 * y4) - (z * i)));
	double tmp;
	if (c <= -0.04) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (c <= -9.2e-54) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (c <= -1.65e-167) {
		tmp = t_2;
	} else if (c <= -1.75e-258) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (c <= 2.35e-248) {
		tmp = t_1;
	} else if (c <= 4.2e-229) {
		tmp = t_2;
	} else if (c <= 4.2e-125) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (c <= 11200000000.0) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (c <= 8.5e+71) {
		tmp = t_1;
	} else if (c <= 3.4e+143) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (c <= 1e+194) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (c <= 7.2e+284) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = -c * ((x * i) * y);
	}
	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 * (z * ((b * y0) - (i * y1)))
    t_2 = k * (y1 * ((y2 * y4) - (z * i)))
    if (c <= (-0.04d0)) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else if (c <= (-9.2d-54)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (c <= (-1.65d-167)) then
        tmp = t_2
    else if (c <= (-1.75d-258)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (c <= 2.35d-248) then
        tmp = t_1
    else if (c <= 4.2d-229) then
        tmp = t_2
    else if (c <= 4.2d-125) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (c <= 11200000000.0d0) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (c <= 8.5d+71) then
        tmp = t_1
    else if (c <= 3.4d+143) then
        tmp = k * (y * ((i * y5) - (b * y4)))
    else if (c <= 1d+194) then
        tmp = b * (t * ((j * y4) - (z * a)))
    else if (c <= 7.2d+284) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else
        tmp = -c * ((x * i) * y)
    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 * (z * ((b * y0) - (i * y1)));
	double t_2 = k * (y1 * ((y2 * y4) - (z * i)));
	double tmp;
	if (c <= -0.04) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else if (c <= -9.2e-54) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (c <= -1.65e-167) {
		tmp = t_2;
	} else if (c <= -1.75e-258) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (c <= 2.35e-248) {
		tmp = t_1;
	} else if (c <= 4.2e-229) {
		tmp = t_2;
	} else if (c <= 4.2e-125) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (c <= 11200000000.0) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (c <= 8.5e+71) {
		tmp = t_1;
	} else if (c <= 3.4e+143) {
		tmp = k * (y * ((i * y5) - (b * y4)));
	} else if (c <= 1e+194) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (c <= 7.2e+284) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = -c * ((x * i) * y);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (z * ((b * y0) - (i * y1)))
	t_2 = k * (y1 * ((y2 * y4) - (z * i)))
	tmp = 0
	if c <= -0.04:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	elif c <= -9.2e-54:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif c <= -1.65e-167:
		tmp = t_2
	elif c <= -1.75e-258:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif c <= 2.35e-248:
		tmp = t_1
	elif c <= 4.2e-229:
		tmp = t_2
	elif c <= 4.2e-125:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif c <= 11200000000.0:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif c <= 8.5e+71:
		tmp = t_1
	elif c <= 3.4e+143:
		tmp = k * (y * ((i * y5) - (b * y4)))
	elif c <= 1e+194:
		tmp = b * (t * ((j * y4) - (z * a)))
	elif c <= 7.2e+284:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	else:
		tmp = -c * ((x * i) * y)
	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(z * Float64(Float64(b * y0) - Float64(i * y1))))
	t_2 = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))))
	tmp = 0.0
	if (c <= -0.04)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	elseif (c <= -9.2e-54)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (c <= -1.65e-167)
		tmp = t_2;
	elseif (c <= -1.75e-258)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (c <= 2.35e-248)
		tmp = t_1;
	elseif (c <= 4.2e-229)
		tmp = t_2;
	elseif (c <= 4.2e-125)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (c <= 11200000000.0)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (c <= 8.5e+71)
		tmp = t_1;
	elseif (c <= 3.4e+143)
		tmp = Float64(k * Float64(y * Float64(Float64(i * y5) - Float64(b * y4))));
	elseif (c <= 1e+194)
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	elseif (c <= 7.2e+284)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	else
		tmp = Float64(Float64(-c) * Float64(Float64(x * i) * y));
	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 * (z * ((b * y0) - (i * y1)));
	t_2 = k * (y1 * ((y2 * y4) - (z * i)));
	tmp = 0.0;
	if (c <= -0.04)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	elseif (c <= -9.2e-54)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (c <= -1.65e-167)
		tmp = t_2;
	elseif (c <= -1.75e-258)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (c <= 2.35e-248)
		tmp = t_1;
	elseif (c <= 4.2e-229)
		tmp = t_2;
	elseif (c <= 4.2e-125)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (c <= 11200000000.0)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (c <= 8.5e+71)
		tmp = t_1;
	elseif (c <= 3.4e+143)
		tmp = k * (y * ((i * y5) - (b * y4)));
	elseif (c <= 1e+194)
		tmp = b * (t * ((j * y4) - (z * a)));
	elseif (c <= 7.2e+284)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	else
		tmp = -c * ((x * i) * y);
	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[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -0.04], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -9.2e-54], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -1.65e-167], t$95$2, If[LessEqual[c, -1.75e-258], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 2.35e-248], t$95$1, If[LessEqual[c, 4.2e-229], t$95$2, If[LessEqual[c, 4.2e-125], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 11200000000.0], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 8.5e+71], t$95$1, If[LessEqual[c, 3.4e+143], N[(k * N[(y * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1e+194], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 7.2e+284], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[((-c) * N[(N[(x * i), $MachinePrecision] * y), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if c < -0.0400000000000000008

   1. Initial program 22.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 43.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 45.3%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   if -0.0400000000000000008 < c < -9.1999999999999996e-54

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 50.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 60.4%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -9.1999999999999996e-54 < c < -1.64999999999999998e-167 or 2.34999999999999982e-248 < c < 4.19999999999999967e-229

   1. Initial program 27.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 42.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 42.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 42.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 42.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 42.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 42.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 42.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 56.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   if -1.64999999999999998e-167 < c < -1.75000000000000001e-258

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 52.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in k around inf 49.1%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if -1.75000000000000001e-258 < c < 2.34999999999999982e-248 or 1.12e10 < c < 8.4999999999999996e71

   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 k around inf 40.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 40.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 40.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 40.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 40.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 40.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 40.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 40.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 50.0%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if 4.19999999999999967e-229 < c < 4.2e-125

   1. Initial program 49.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 43.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 43.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 43.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 43.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 43.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 43.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 43.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 33.1%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 33.1%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 33.1%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 33.1%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 33.1%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if 4.2e-125 < c < 1.12e10

   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 b around inf 40.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 49.3%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if 8.4999999999999996e71 < c < 3.39999999999999982e143

   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 k around inf 38.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 38.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 38.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 38.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 38.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 38.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 38.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y around inf 46.9%

      \[\leadsto \color{blue}{k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)} \]

   if 3.39999999999999982e143 < c < 9.99999999999999945e193

   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 b around inf 34.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in t around inf 45.4%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 45.4%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right) \]

      2. mul-1-neg 45.4%

         \[\leadsto b \cdot \left(t \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right) \]

      3. unsub-neg 45.4%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right) \]

   6. Simplified 45.4%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(j \cdot y4 - a \cdot z\right)\right)} \]

   if 9.99999999999999945e193 < c < 7.2000000000000002e284

   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 y0 around inf 38.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in c around inf 62.0%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 62.0%

         \[\leadsto c \cdot \color{blue}{\left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   8. Simplified 62.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   if 7.2000000000000002e284 < c

   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 80.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 80.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 80.0%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 80.0%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 80.0%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 80.0%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 80.0%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 80.0%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 100.0%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in c around inf 100.0%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 100.0%

         \[\leadsto \color{blue}{-c \cdot \left(i \cdot \left(x \cdot y\right)\right)} \]

      2. distribute-rgt-neg-in 100.0%

         \[\leadsto \color{blue}{c \cdot \left(-i \cdot \left(x \cdot y\right)\right)} \]

      3. associate-*r* 100.0%

         \[\leadsto c \cdot \left(-\color{blue}{\left(i \cdot x\right) \cdot y}\right) \]

      4. distribute-lft-neg-in 100.0%

         \[\leadsto c \cdot \color{blue}{\left(\left(-i \cdot x\right) \cdot y\right)} \]

      5. *-commutative 100.0%

         \[\leadsto c \cdot \left(\left(-\color{blue}{x \cdot i}\right) \cdot y\right) \]

      6. distribute-rgt-neg-in 100.0%

         \[\leadsto c \cdot \left(\color{blue}{\left(x \cdot \left(-i\right)\right)} \cdot y\right) \]

   9. Simplified 100.0%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot \left(-i\right)\right) \cdot y\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 49.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -0.04:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -9.2 \cdot 10^{-54}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -1.65 \cdot 10^{-167}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;c \leq -1.75 \cdot 10^{-258}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 2.35 \cdot 10^{-248}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{-229}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;c \leq 4.2 \cdot 10^{-125}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 11200000000:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 8.5 \cdot 10^{+71}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 3.4 \cdot 10^{+143}:\\ \;\;\;\;k \cdot \left(y \cdot \left(i \cdot y5 - b \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 10^{+194}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;c \leq 7.2 \cdot 10^{+284}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(-c\right) \cdot \left(\left(x \cdot i\right) \cdot y\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 24: 21.9% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y0 \leq -3.6 \cdot 10^{+106}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y2 \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y0 \leq -2.35 \cdot 10^{+58}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq -7.5 \cdot 10^{-149}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq -1.95 \cdot 10^{-180}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq -1.3 \cdot 10^{-281}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq -2.55 \cdot 10^{-307}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 6.8 \cdot 10^{-242}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y0 \leq 8.2 \cdot 10^{-162}:\\ \;\;\;\;\left(-k\right) \cdot \left(y1 \cdot \left(z \cdot i\right)\right)\\ \mathbf{elif}\;y0 \leq 3.7 \cdot 10^{-135}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 5.4 \cdot 10^{-61}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;y0 \leq 1.8 \cdot 10^{-55}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y0 \leq 4.6 \cdot 10^{+160}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y0 -3.6e+106)
   (* k (* y5 (* y2 (- y0))))
   (if (<= y0 -2.35e+58)
     (* j (* x (* i y1)))
     (if (<= y0 -7.5e-149)
       (* y2 (* t (* a y5)))
       (if (<= y0 -1.95e-180)
         (* i (* y1 (* x j)))
         (if (<= y0 -1.3e-281)
           (* a (* t (* y2 y5)))
           (if (<= y0 -2.55e-307)
             (* i (* y (* k y5)))
             (if (<= y0 6.8e-242)
               (* y (* a (* x b)))
               (if (<= y0 8.2e-162)
                 (* (- k) (* y1 (* z i)))
                 (if (<= y0 3.7e-135)
                   (* k (* y1 (* y2 y4)))
                   (if (<= y0 5.4e-61)
                     (* y0 (* y5 (* j y3)))
                     (if (<= y0 1.8e-55)
                       (* a (* (* x y) b))
                       (if (<= y0 4.6e+160)
                         (* y2 (* a (* t y5)))
                         (* z (* b (* k 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 (y0 <= -3.6e+106) {
		tmp = k * (y5 * (y2 * -y0));
	} else if (y0 <= -2.35e+58) {
		tmp = j * (x * (i * y1));
	} else if (y0 <= -7.5e-149) {
		tmp = y2 * (t * (a * y5));
	} else if (y0 <= -1.95e-180) {
		tmp = i * (y1 * (x * j));
	} else if (y0 <= -1.3e-281) {
		tmp = a * (t * (y2 * y5));
	} else if (y0 <= -2.55e-307) {
		tmp = i * (y * (k * y5));
	} else if (y0 <= 6.8e-242) {
		tmp = y * (a * (x * b));
	} else if (y0 <= 8.2e-162) {
		tmp = -k * (y1 * (z * i));
	} else if (y0 <= 3.7e-135) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y0 <= 5.4e-61) {
		tmp = y0 * (y5 * (j * y3));
	} else if (y0 <= 1.8e-55) {
		tmp = a * ((x * y) * b);
	} else if (y0 <= 4.6e+160) {
		tmp = y2 * (a * (t * y5));
	} else {
		tmp = z * (b * (k * 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 (y0 <= (-3.6d+106)) then
        tmp = k * (y5 * (y2 * -y0))
    else if (y0 <= (-2.35d+58)) then
        tmp = j * (x * (i * y1))
    else if (y0 <= (-7.5d-149)) then
        tmp = y2 * (t * (a * y5))
    else if (y0 <= (-1.95d-180)) then
        tmp = i * (y1 * (x * j))
    else if (y0 <= (-1.3d-281)) then
        tmp = a * (t * (y2 * y5))
    else if (y0 <= (-2.55d-307)) then
        tmp = i * (y * (k * y5))
    else if (y0 <= 6.8d-242) then
        tmp = y * (a * (x * b))
    else if (y0 <= 8.2d-162) then
        tmp = -k * (y1 * (z * i))
    else if (y0 <= 3.7d-135) then
        tmp = k * (y1 * (y2 * y4))
    else if (y0 <= 5.4d-61) then
        tmp = y0 * (y5 * (j * y3))
    else if (y0 <= 1.8d-55) then
        tmp = a * ((x * y) * b)
    else if (y0 <= 4.6d+160) then
        tmp = y2 * (a * (t * y5))
    else
        tmp = z * (b * (k * 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 (y0 <= -3.6e+106) {
		tmp = k * (y5 * (y2 * -y0));
	} else if (y0 <= -2.35e+58) {
		tmp = j * (x * (i * y1));
	} else if (y0 <= -7.5e-149) {
		tmp = y2 * (t * (a * y5));
	} else if (y0 <= -1.95e-180) {
		tmp = i * (y1 * (x * j));
	} else if (y0 <= -1.3e-281) {
		tmp = a * (t * (y2 * y5));
	} else if (y0 <= -2.55e-307) {
		tmp = i * (y * (k * y5));
	} else if (y0 <= 6.8e-242) {
		tmp = y * (a * (x * b));
	} else if (y0 <= 8.2e-162) {
		tmp = -k * (y1 * (z * i));
	} else if (y0 <= 3.7e-135) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y0 <= 5.4e-61) {
		tmp = y0 * (y5 * (j * y3));
	} else if (y0 <= 1.8e-55) {
		tmp = a * ((x * y) * b);
	} else if (y0 <= 4.6e+160) {
		tmp = y2 * (a * (t * y5));
	} else {
		tmp = z * (b * (k * 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 y0 <= -3.6e+106:
		tmp = k * (y5 * (y2 * -y0))
	elif y0 <= -2.35e+58:
		tmp = j * (x * (i * y1))
	elif y0 <= -7.5e-149:
		tmp = y2 * (t * (a * y5))
	elif y0 <= -1.95e-180:
		tmp = i * (y1 * (x * j))
	elif y0 <= -1.3e-281:
		tmp = a * (t * (y2 * y5))
	elif y0 <= -2.55e-307:
		tmp = i * (y * (k * y5))
	elif y0 <= 6.8e-242:
		tmp = y * (a * (x * b))
	elif y0 <= 8.2e-162:
		tmp = -k * (y1 * (z * i))
	elif y0 <= 3.7e-135:
		tmp = k * (y1 * (y2 * y4))
	elif y0 <= 5.4e-61:
		tmp = y0 * (y5 * (j * y3))
	elif y0 <= 1.8e-55:
		tmp = a * ((x * y) * b)
	elif y0 <= 4.6e+160:
		tmp = y2 * (a * (t * y5))
	else:
		tmp = z * (b * (k * 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 (y0 <= -3.6e+106)
		tmp = Float64(k * Float64(y5 * Float64(y2 * Float64(-y0))));
	elseif (y0 <= -2.35e+58)
		tmp = Float64(j * Float64(x * Float64(i * y1)));
	elseif (y0 <= -7.5e-149)
		tmp = Float64(y2 * Float64(t * Float64(a * y5)));
	elseif (y0 <= -1.95e-180)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	elseif (y0 <= -1.3e-281)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (y0 <= -2.55e-307)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (y0 <= 6.8e-242)
		tmp = Float64(y * Float64(a * Float64(x * b)));
	elseif (y0 <= 8.2e-162)
		tmp = Float64(Float64(-k) * Float64(y1 * Float64(z * i)));
	elseif (y0 <= 3.7e-135)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (y0 <= 5.4e-61)
		tmp = Float64(y0 * Float64(y5 * Float64(j * y3)));
	elseif (y0 <= 1.8e-55)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (y0 <= 4.6e+160)
		tmp = Float64(y2 * Float64(a * Float64(t * y5)));
	else
		tmp = Float64(z * Float64(b * Float64(k * 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 (y0 <= -3.6e+106)
		tmp = k * (y5 * (y2 * -y0));
	elseif (y0 <= -2.35e+58)
		tmp = j * (x * (i * y1));
	elseif (y0 <= -7.5e-149)
		tmp = y2 * (t * (a * y5));
	elseif (y0 <= -1.95e-180)
		tmp = i * (y1 * (x * j));
	elseif (y0 <= -1.3e-281)
		tmp = a * (t * (y2 * y5));
	elseif (y0 <= -2.55e-307)
		tmp = i * (y * (k * y5));
	elseif (y0 <= 6.8e-242)
		tmp = y * (a * (x * b));
	elseif (y0 <= 8.2e-162)
		tmp = -k * (y1 * (z * i));
	elseif (y0 <= 3.7e-135)
		tmp = k * (y1 * (y2 * y4));
	elseif (y0 <= 5.4e-61)
		tmp = y0 * (y5 * (j * y3));
	elseif (y0 <= 1.8e-55)
		tmp = a * ((x * y) * b);
	elseif (y0 <= 4.6e+160)
		tmp = y2 * (a * (t * y5));
	else
		tmp = z * (b * (k * 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[y0, -3.6e+106], N[(k * N[(y5 * N[(y2 * (-y0)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -2.35e+58], N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -7.5e-149], N[(y2 * N[(t * N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -1.95e-180], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -1.3e-281], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -2.55e-307], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 6.8e-242], N[(y * N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 8.2e-162], N[((-k) * N[(y1 * N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 3.7e-135], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 5.4e-61], N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.8e-55], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 4.6e+160], N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(z * N[(b * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if y0 < -3.6000000000000001e106

   1. Initial program 35.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 61.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 61.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 61.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 61.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 61.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 61.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 61.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 61.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 61.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 46.6%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 41.6%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 41.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 41.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 41.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 41.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 41.6%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around 0 41.4%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   10. Step-by-step derivation

       1. mul-1-neg 41.4%

          \[\leadsto \color{blue}{-k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

       2. distribute-rgt-neg-in 41.4%

          \[\leadsto \color{blue}{k \cdot \left(-y0 \cdot \left(y2 \cdot y5\right)\right)} \]

       3. associate-*r* 41.5%

          \[\leadsto k \cdot \left(-\color{blue}{\left(y0 \cdot y2\right) \cdot y5}\right) \]

       4. distribute-lft-neg-out 41.5%

          \[\leadsto k \cdot \color{blue}{\left(\left(-y0 \cdot y2\right) \cdot y5\right)} \]

       5. *-commutative 41.5%

          \[\leadsto k \cdot \left(\left(-\color{blue}{y2 \cdot y0}\right) \cdot y5\right) \]

       6. distribute-rgt-neg-in 41.5%

          \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(-y0\right)\right)} \cdot y5\right) \]

   11. Simplified 41.5%

       \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(-y0\right)\right) \cdot y5\right)} \]

   if -3.6000000000000001e106 < y0 < -2.34999999999999986e58

   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 36.2%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 57.3%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 36.1%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]

   if -2.34999999999999986e58 < y0 < -7.49999999999999995e-149

   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 y2 around inf 39.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 30.1%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 27.7%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(a \cdot y5\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 27.7%

         \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   7. Simplified 27.7%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   if -7.49999999999999995e-149 < y0 < -1.9500000000000001e-180

   1. Initial program 24.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 50.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 63.1%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 51.2%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 63.2%

         \[\leadsto i \cdot \color{blue}{\left(\left(j \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 63.2%

         \[\leadsto i \cdot \left(\color{blue}{\left(x \cdot j\right)} \cdot y1\right) \]

   7. Simplified 63.2%

      \[\leadsto \color{blue}{i \cdot \left(\left(x \cdot j\right) \cdot y1\right)} \]

   if -1.9500000000000001e-180 < y0 < -1.30000000000000002e-281

   1. Initial program 23.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 53.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 48.2%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 37.0%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 37.0%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 37.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if -1.30000000000000002e-281 < y0 < -2.55e-307

   1. Initial program 56.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 29.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 29.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 29.8%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 29.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 29.8%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 29.8%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 29.8%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 29.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 30.0%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in y5 around inf 58.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 58.5%

         \[\leadsto i \cdot \color{blue}{\left(\left(k \cdot y\right) \cdot y5\right)} \]

      2. *-commutative 58.5%

         \[\leadsto i \cdot \left(\color{blue}{\left(y \cdot k\right)} \cdot y5\right) \]

      3. associate-*l* 58.5%

         \[\leadsto i \cdot \color{blue}{\left(y \cdot \left(k \cdot y5\right)\right)} \]

   9. Simplified 58.5%

      \[\leadsto \color{blue}{i \cdot \left(y \cdot \left(k \cdot y5\right)\right)} \]

   if -2.55e-307 < y0 < 6.8000000000000001e-242

   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 51.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 50.4%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 50.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 50.4%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 50.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 50.4%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 32.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 32.3%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

      2. associate-*r* 32.3%

         \[\leadsto {\left(a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)}\right)}^{1} \]

   9. Applied egg-rr 32.3%

      \[\leadsto \color{blue}{{\left(a \cdot \left(\left(b \cdot x\right) \cdot y\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 32.3%

          \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]

       2. associate-*r* 50.6%

          \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot x\right)\right) \cdot y} \]

   11. Simplified 50.6%

       \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot x\right)\right) \cdot y} \]

   if 6.8000000000000001e-242 < y0 < 8.20000000000000039e-162

   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 k around inf 55.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 55.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 55.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 55.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 55.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 55.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 55.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 55.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 33.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around 0 33.4%

      \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(-1 \cdot \left(i \cdot z\right)\right)}\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 33.4%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(-i \cdot z\right)}\right) \]

      2. distribute-lft-neg-out 33.4%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(\left(-i\right) \cdot z\right)}\right) \]

      3. *-commutative 33.4%

         \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(z \cdot \left(-i\right)\right)}\right) \]

   9. Simplified 33.4%

      \[\leadsto k \cdot \left(y1 \cdot \color{blue}{\left(z \cdot \left(-i\right)\right)}\right) \]

   if 8.20000000000000039e-162 < y0 < 3.6999999999999997e-135

   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 k around inf 25.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 25.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 25.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 25.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 25.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 25.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 25.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 25.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 38.9%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around inf 51.2%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]

   if 3.6999999999999997e-135 < y0 < 5.39999999999999987e-61

   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 y0 around inf 28.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 28.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 28.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 28.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 28.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 28.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 28.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 28.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 28.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 28.9%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 40.0%

      \[\leadsto y0 \cdot \left(y5 \cdot \color{blue}{\left(j \cdot y3\right)}\right) \]

   if 5.39999999999999987e-61 < y0 < 1.8e-55

   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 100.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 100.0%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 100.0%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 100.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if 1.8e-55 < y0 < 4.59999999999999975e160

   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 y2 around inf 36.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 44.2%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 32.1%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 32.1%

         \[\leadsto y2 \cdot \left(a \cdot \color{blue}{\left(y5 \cdot t\right)}\right) \]

   7. Simplified 32.1%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot t\right)\right)} \]

   if 4.59999999999999975e160 < y0

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 65.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 65.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 65.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 65.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 65.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 65.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 65.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 65.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 65.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 61.6%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 52.7%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 52.7%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 52.7%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 52.7%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 52.7%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 52.7%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 49.2%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. pow1 49.2%

          \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]

   11. Applied egg-rr 49.2%

       \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]
   12. Step-by-step derivation

       1. unpow1 49.2%

          \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

       2. associate-*r* 55.3%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       3. associate-*r* 58.4%

          \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   13. Simplified 58.4%

       \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]
3. Recombined 13 regimes into one program.

4. Final simplification 40.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -3.6 \cdot 10^{+106}:\\ \;\;\;\;k \cdot \left(y5 \cdot \left(y2 \cdot \left(-y0\right)\right)\right)\\ \mathbf{elif}\;y0 \leq -2.35 \cdot 10^{+58}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq -7.5 \cdot 10^{-149}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq -1.95 \cdot 10^{-180}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq -1.3 \cdot 10^{-281}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq -2.55 \cdot 10^{-307}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 6.8 \cdot 10^{-242}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y0 \leq 8.2 \cdot 10^{-162}:\\ \;\;\;\;\left(-k\right) \cdot \left(y1 \cdot \left(z \cdot i\right)\right)\\ \mathbf{elif}\;y0 \leq 3.7 \cdot 10^{-135}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 5.4 \cdot 10^{-61}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;y0 \leq 1.8 \cdot 10^{-55}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y0 \leq 4.6 \cdot 10^{+160}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 25: 31.0% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ t_2 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;y \leq -6 \cdot 10^{+211}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -2.45 \cdot 10^{+120}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.56 \cdot 10^{+63}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq -1 \cdot 10^{+44}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -6.4 \cdot 10^{+20}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -1.75 \cdot 10^{-90}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{-264}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.45 \cdot 10^{-136}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{-71}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq 8.2 \cdot 10^{-61}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{+113}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* y2 (- (* a y5) (* c y4)))))
        (t_2 (* b (* y0 (- (* z k) (* x j))))))
   (if (<= y -6e+211)
     (* x (* y (- (* a b) (* c i))))
     (if (<= y -2.45e+120)
       (* i (* k (- (* y y5) (* z y1))))
       (if (<= y -1.56e+63)
         (* b (* y4 (- (* t j) (* y k))))
         (if (<= y -1e+44)
           (* k (* z (- (* b y0) (* i y1))))
           (if (<= y -6.4e+20)
             t_1
             (if (<= y -1.75e-90)
               t_2
               (if (<= y 4.5e-264)
                 (* k (* y2 (- (* y1 y4) (* y0 y5))))
                 (if (<= y 1.45e-136)
                   (* y0 (* y2 (- (* x c) (* k y5))))
                   (if (<= y 1.7e-71)
                     t_2
                     (if (<= y 8.2e-61)
                       t_1
                       (if (<= y 4.8e+113)
                         (* x (* y0 (- (* c y2) (* b j))))
                         (* y (* y3 (- (* c y4) (* a y5)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (y2 * ((a * y5) - (c * y4)));
	double t_2 = b * (y0 * ((z * k) - (x * j)));
	double tmp;
	if (y <= -6e+211) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -2.45e+120) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y <= -1.56e+63) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y <= -1e+44) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y <= -6.4e+20) {
		tmp = t_1;
	} else if (y <= -1.75e-90) {
		tmp = t_2;
	} else if (y <= 4.5e-264) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 1.45e-136) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y <= 1.7e-71) {
		tmp = t_2;
	} else if (y <= 8.2e-61) {
		tmp = t_1;
	} else if (y <= 4.8e+113) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else {
		tmp = y * (y3 * ((c * y4) - (a * 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 = t * (y2 * ((a * y5) - (c * y4)))
    t_2 = b * (y0 * ((z * k) - (x * j)))
    if (y <= (-6d+211)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y <= (-2.45d+120)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y <= (-1.56d+63)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y <= (-1d+44)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y <= (-6.4d+20)) then
        tmp = t_1
    else if (y <= (-1.75d-90)) then
        tmp = t_2
    else if (y <= 4.5d-264) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y <= 1.45d-136) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y <= 1.7d-71) then
        tmp = t_2
    else if (y <= 8.2d-61) then
        tmp = t_1
    else if (y <= 4.8d+113) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else
        tmp = y * (y3 * ((c * y4) - (a * 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 * (y2 * ((a * y5) - (c * y4)));
	double t_2 = b * (y0 * ((z * k) - (x * j)));
	double tmp;
	if (y <= -6e+211) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -2.45e+120) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y <= -1.56e+63) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y <= -1e+44) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y <= -6.4e+20) {
		tmp = t_1;
	} else if (y <= -1.75e-90) {
		tmp = t_2;
	} else if (y <= 4.5e-264) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 1.45e-136) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y <= 1.7e-71) {
		tmp = t_2;
	} else if (y <= 8.2e-61) {
		tmp = t_1;
	} else if (y <= 4.8e+113) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (y2 * ((a * y5) - (c * y4)))
	t_2 = b * (y0 * ((z * k) - (x * j)))
	tmp = 0
	if y <= -6e+211:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y <= -2.45e+120:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y <= -1.56e+63:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y <= -1e+44:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y <= -6.4e+20:
		tmp = t_1
	elif y <= -1.75e-90:
		tmp = t_2
	elif y <= 4.5e-264:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y <= 1.45e-136:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y <= 1.7e-71:
		tmp = t_2
	elif y <= 8.2e-61:
		tmp = t_1
	elif y <= 4.8e+113:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	else:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))))
	t_2 = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	tmp = 0.0
	if (y <= -6e+211)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y <= -2.45e+120)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y <= -1.56e+63)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y <= -1e+44)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y <= -6.4e+20)
		tmp = t_1;
	elseif (y <= -1.75e-90)
		tmp = t_2;
	elseif (y <= 4.5e-264)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y <= 1.45e-136)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y <= 1.7e-71)
		tmp = t_2;
	elseif (y <= 8.2e-61)
		tmp = t_1;
	elseif (y <= 4.8e+113)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	else
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * (y2 * ((a * y5) - (c * y4)));
	t_2 = b * (y0 * ((z * k) - (x * j)));
	tmp = 0.0;
	if (y <= -6e+211)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y <= -2.45e+120)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y <= -1.56e+63)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y <= -1e+44)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y <= -6.4e+20)
		tmp = t_1;
	elseif (y <= -1.75e-90)
		tmp = t_2;
	elseif (y <= 4.5e-264)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y <= 1.45e-136)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y <= 1.7e-71)
		tmp = t_2;
	elseif (y <= 8.2e-61)
		tmp = t_1;
	elseif (y <= 4.8e+113)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	else
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -6e+211], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -2.45e+120], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.56e+63], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1e+44], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -6.4e+20], t$95$1, If[LessEqual[y, -1.75e-90], t$95$2, If[LessEqual[y, 4.5e-264], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.45e-136], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.7e-71], t$95$2, If[LessEqual[y, 8.2e-61], t$95$1, If[LessEqual[y, 4.8e+113], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y < -6e211

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 80.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y around inf 74.1%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if -6e211 < y < -2.45000000000000005e120

   1. Initial program 21.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 52.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 52.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 52.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 52.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 58.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 58.3%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 58.3%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 58.3%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 58.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if -2.45000000000000005e120 < y < -1.56e63

   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 b around inf 70.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.9%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -1.56e63 < y < -1.0000000000000001e44

   1. Initial program 71.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 71.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 71.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 71.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 71.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 86.1%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -1.0000000000000001e44 < y < -6.4e20 or 1.70000000000000002e-71 < y < 8.19999999999999998e-61

   1. Initial program 22.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 44.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 67.1%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -6.4e20 < y < -1.7499999999999999e-90 or 1.44999999999999997e-136 < y < 1.70000000000000002e-71

   1. Initial program 32.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 44.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 44.8%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -1.7499999999999999e-90 < y < 4.5000000000000001e-264

   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 y2 around inf 42.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in k around inf 34.5%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if 4.5000000000000001e-264 < y < 1.44999999999999997e-136

   1. Initial program 19.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 49.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y0 around inf 49.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 49.3%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 49.3%

         \[\leadsto y0 \cdot \left(y2 \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right)\right) \]

      3. unsub-neg 49.3%

         \[\leadsto y0 \cdot \left(y2 \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)}\right) \]

   6. Simplified 49.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(c \cdot x - k \cdot y5\right)\right)} \]

   if 8.19999999999999998e-61 < y < 4.79999999999999966e113

   1. Initial program 22.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 39.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 53.5%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   if 4.79999999999999966e113 < y

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 63.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 63.9%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 63.9%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 63.9%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 63.9%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 63.9%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 63.9%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 63.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around inf 45.2%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 49.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -6 \cdot 10^{+211}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -2.45 \cdot 10^{+120}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.56 \cdot 10^{+63}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq -1 \cdot 10^{+44}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -6.4 \cdot 10^{+20}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1.75 \cdot 10^{-90}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 4.5 \cdot 10^{-264}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.45 \cdot 10^{-136}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{-71}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 8.2 \cdot 10^{-61}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 4.8 \cdot 10^{+113}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 26: 30.6% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;y \leq -5.2 \cdot 10^{+206}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -7.6 \cdot 10^{+119}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -3.2 \cdot 10^{+66}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq -4.2 \cdot 10^{+41}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -7.8 \cdot 10^{+20}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -5.1 \cdot 10^{-90}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 6 \cdot 10^{-151}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-124}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{-90}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.85 \cdot 10^{-31}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{+100}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* t (* y2 (- (* a y5) (* c y4))))))
   (if (<= y -5.2e+206)
     (* x (* y (- (* a b) (* c i))))
     (if (<= y -7.6e+119)
       (* i (* k (- (* y y5) (* z y1))))
       (if (<= y -3.2e+66)
         (* b (* y4 (- (* t j) (* y k))))
         (if (<= y -4.2e+41)
           (* k (* z (- (* b y0) (* i y1))))
           (if (<= y -7.8e+20)
             t_1
             (if (<= y -5.1e-90)
               (* b (* y0 (- (* z k) (* x j))))
               (if (<= y 6e-151)
                 (* k (* y2 (- (* y1 y4) (* y0 y5))))
                 (if (<= y 1.2e-124)
                   (* b (* x (- (* y a) (* j y0))))
                   (if (<= y 2.8e-90)
                     (* z (* b (* k y0)))
                     (if (<= y 1.85e-31)
                       t_1
                       (if (<= y 2.7e+100)
                         (* x (* y0 (- (* c y2) (* b j))))
                         (* y (* y3 (- (* c y4) (* a y5)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = t * (y2 * ((a * y5) - (c * y4)));
	double tmp;
	if (y <= -5.2e+206) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -7.6e+119) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y <= -3.2e+66) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y <= -4.2e+41) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y <= -7.8e+20) {
		tmp = t_1;
	} else if (y <= -5.1e-90) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 6e-151) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 1.2e-124) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y <= 2.8e-90) {
		tmp = z * (b * (k * y0));
	} else if (y <= 1.85e-31) {
		tmp = t_1;
	} else if (y <= 2.7e+100) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else {
		tmp = y * (y3 * ((c * y4) - (a * 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 * (y2 * ((a * y5) - (c * y4)))
    if (y <= (-5.2d+206)) then
        tmp = x * (y * ((a * b) - (c * i)))
    else if (y <= (-7.6d+119)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y <= (-3.2d+66)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y <= (-4.2d+41)) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (y <= (-7.8d+20)) then
        tmp = t_1
    else if (y <= (-5.1d-90)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y <= 6d-151) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y <= 1.2d-124) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else if (y <= 2.8d-90) then
        tmp = z * (b * (k * y0))
    else if (y <= 1.85d-31) then
        tmp = t_1
    else if (y <= 2.7d+100) then
        tmp = x * (y0 * ((c * y2) - (b * j)))
    else
        tmp = y * (y3 * ((c * y4) - (a * 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 * (y2 * ((a * y5) - (c * y4)));
	double tmp;
	if (y <= -5.2e+206) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else if (y <= -7.6e+119) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y <= -3.2e+66) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y <= -4.2e+41) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (y <= -7.8e+20) {
		tmp = t_1;
	} else if (y <= -5.1e-90) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 6e-151) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 1.2e-124) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else if (y <= 2.8e-90) {
		tmp = z * (b * (k * y0));
	} else if (y <= 1.85e-31) {
		tmp = t_1;
	} else if (y <= 2.7e+100) {
		tmp = x * (y0 * ((c * y2) - (b * j)));
	} else {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = t * (y2 * ((a * y5) - (c * y4)))
	tmp = 0
	if y <= -5.2e+206:
		tmp = x * (y * ((a * b) - (c * i)))
	elif y <= -7.6e+119:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y <= -3.2e+66:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y <= -4.2e+41:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif y <= -7.8e+20:
		tmp = t_1
	elif y <= -5.1e-90:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y <= 6e-151:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y <= 1.2e-124:
		tmp = b * (x * ((y * a) - (j * y0)))
	elif y <= 2.8e-90:
		tmp = z * (b * (k * y0))
	elif y <= 1.85e-31:
		tmp = t_1
	elif y <= 2.7e+100:
		tmp = x * (y0 * ((c * y2) - (b * j)))
	else:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))))
	tmp = 0.0
	if (y <= -5.2e+206)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	elseif (y <= -7.6e+119)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y <= -3.2e+66)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y <= -4.2e+41)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (y <= -7.8e+20)
		tmp = t_1;
	elseif (y <= -5.1e-90)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y <= 6e-151)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y <= 1.2e-124)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	elseif (y <= 2.8e-90)
		tmp = Float64(z * Float64(b * Float64(k * y0)));
	elseif (y <= 1.85e-31)
		tmp = t_1;
	elseif (y <= 2.7e+100)
		tmp = Float64(x * Float64(y0 * Float64(Float64(c * y2) - Float64(b * j))));
	else
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = t * (y2 * ((a * y5) - (c * y4)));
	tmp = 0.0;
	if (y <= -5.2e+206)
		tmp = x * (y * ((a * b) - (c * i)));
	elseif (y <= -7.6e+119)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y <= -3.2e+66)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y <= -4.2e+41)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (y <= -7.8e+20)
		tmp = t_1;
	elseif (y <= -5.1e-90)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y <= 6e-151)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y <= 1.2e-124)
		tmp = b * (x * ((y * a) - (j * y0)));
	elseif (y <= 2.8e-90)
		tmp = z * (b * (k * y0));
	elseif (y <= 1.85e-31)
		tmp = t_1;
	elseif (y <= 2.7e+100)
		tmp = x * (y0 * ((c * y2) - (b * j)));
	else
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -5.2e+206], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -7.6e+119], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -3.2e+66], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -4.2e+41], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -7.8e+20], t$95$1, If[LessEqual[y, -5.1e-90], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 6e-151], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.2e-124], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.8e-90], N[(z * N[(b * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.85e-31], t$95$1, If[LessEqual[y, 2.7e+100], N[(x * N[(y0 * N[(N[(c * y2), $MachinePrecision] - N[(b * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if y < -5.19999999999999977e206

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 80.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y around inf 74.1%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if -5.19999999999999977e206 < y < -7.59999999999999979e119

   1. Initial program 21.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 52.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 52.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 52.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 52.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 52.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 58.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 58.3%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 58.3%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 58.3%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 58.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if -7.59999999999999979e119 < y < -3.2e66

   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 b around inf 70.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.9%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -3.2e66 < y < -4.1999999999999999e41

   1. Initial program 71.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 71.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 71.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 71.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 71.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 71.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 86.1%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -4.1999999999999999e41 < y < -7.8e20 or 2.7999999999999999e-90 < y < 1.8499999999999999e-31

   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 y2 around inf 48.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 48.5%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -7.8e20 < y < -5.0999999999999997e-90

   1. Initial program 28.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 39.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 39.5%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -5.0999999999999997e-90 < y < 6e-151

   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 y2 around inf 44.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in k around inf 36.6%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if 6e-151 < y < 1.19999999999999996e-124

   1. Initial program 30.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 40.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 51.2%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if 1.19999999999999996e-124 < y < 2.7999999999999999e-90

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 22.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 22.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 22.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 22.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 22.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 22.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 22.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 22.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 22.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 82.2%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 82.2%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 82.2%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 82.2%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 82.2%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 82.2%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 82.2%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 63.0%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. pow1 63.0%

          \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]

   11. Applied egg-rr 63.0%

       \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]
   12. Step-by-step derivation

       1. unpow1 63.0%

          \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

       2. associate-*r* 82.2%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       3. associate-*r* 100.0%

          \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   13. Simplified 100.0%

       \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   if 1.8499999999999999e-31 < y < 2.69999999999999998e100

   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 39.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y0 around inf 50.8%

      \[\leadsto \color{blue}{x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)} \]

   if 2.69999999999999998e100 < y

   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 y around inf 60.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 60.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 60.6%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 60.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 60.6%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 60.6%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 60.6%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 60.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around inf 42.8%

      \[\leadsto \color{blue}{y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 47.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -5.2 \cdot 10^{+206}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{elif}\;y \leq -7.6 \cdot 10^{+119}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -3.2 \cdot 10^{+66}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y \leq -4.2 \cdot 10^{+41}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -7.8 \cdot 10^{+20}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -5.1 \cdot 10^{-90}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 6 \cdot 10^{-151}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.2 \cdot 10^{-124}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.8 \cdot 10^{-90}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 1.85 \cdot 10^{-31}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{+100}:\\ \;\;\;\;x \cdot \left(y0 \cdot \left(c \cdot y2 - b \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 27: 29.5% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_2 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_3 := k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{if}\;c \leq -1.55 \cdot 10^{+59}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;c \leq -4800000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;c \leq -1.25 \cdot 10^{-61}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;c \leq -4.3 \cdot 10^{-100}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -5.1 \cdot 10^{-258}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 3.2 \cdot 10^{-267}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq 1.2 \cdot 10^{-176}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 1.85 \cdot 10^{-170}:\\ \;\;\;\;b \cdot \left(\left(y \cdot k\right) \cdot \left(-y4\right)\right)\\ \mathbf{elif}\;c \leq 4 \cdot 10^{-18}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;c \leq 1.25 \cdot 10^{-15}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;c \leq 1.3 \cdot 10^{+232}:\\ \;\;\;\;t\_3\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y0 (- (* z k) (* x j)))))
        (t_2 (* c (* y0 (- (* x y2) (* z y3)))))
        (t_3 (* k (* z (- (* b y0) (* i y1))))))
   (if (<= c -1.55e+59)
     t_2
     (if (<= c -4800000.0)
       t_1
       (if (<= c -1.25e-61)
         (* b (* t (- (* j y4) (* z a))))
         (if (<= c -4.3e-100)
           (* j (* y0 (* y3 y5)))
           (if (<= c -5.1e-258)
             (* k (* y2 (- (* y1 y4) (* y0 y5))))
             (if (<= c 3.2e-267)
               t_3
               (if (<= c 1.2e-176)
                 (* i (* k (- (* y y5) (* z y1))))
                 (if (<= c 1.85e-170)
                   (* b (* (* y k) (- y4)))
                   (if (<= c 4e-18)
                     t_1
                     (if (<= c 1.25e-15)
                       (* a (* (* x y) b))
                       (if (<= c 1.3e+232) 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 = b * (y0 * ((z * k) - (x * j)));
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double t_3 = k * (z * ((b * y0) - (i * y1)));
	double tmp;
	if (c <= -1.55e+59) {
		tmp = t_2;
	} else if (c <= -4800000.0) {
		tmp = t_1;
	} else if (c <= -1.25e-61) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (c <= -4.3e-100) {
		tmp = j * (y0 * (y3 * y5));
	} else if (c <= -5.1e-258) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (c <= 3.2e-267) {
		tmp = t_3;
	} else if (c <= 1.2e-176) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (c <= 1.85e-170) {
		tmp = b * ((y * k) * -y4);
	} else if (c <= 4e-18) {
		tmp = t_1;
	} else if (c <= 1.25e-15) {
		tmp = a * ((x * y) * b);
	} else if (c <= 1.3e+232) {
		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 = b * (y0 * ((z * k) - (x * j)))
    t_2 = c * (y0 * ((x * y2) - (z * y3)))
    t_3 = k * (z * ((b * y0) - (i * y1)))
    if (c <= (-1.55d+59)) then
        tmp = t_2
    else if (c <= (-4800000.0d0)) then
        tmp = t_1
    else if (c <= (-1.25d-61)) then
        tmp = b * (t * ((j * y4) - (z * a)))
    else if (c <= (-4.3d-100)) then
        tmp = j * (y0 * (y3 * y5))
    else if (c <= (-5.1d-258)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (c <= 3.2d-267) then
        tmp = t_3
    else if (c <= 1.2d-176) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (c <= 1.85d-170) then
        tmp = b * ((y * k) * -y4)
    else if (c <= 4d-18) then
        tmp = t_1
    else if (c <= 1.25d-15) then
        tmp = a * ((x * y) * b)
    else if (c <= 1.3d+232) 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 = b * (y0 * ((z * k) - (x * j)));
	double t_2 = c * (y0 * ((x * y2) - (z * y3)));
	double t_3 = k * (z * ((b * y0) - (i * y1)));
	double tmp;
	if (c <= -1.55e+59) {
		tmp = t_2;
	} else if (c <= -4800000.0) {
		tmp = t_1;
	} else if (c <= -1.25e-61) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (c <= -4.3e-100) {
		tmp = j * (y0 * (y3 * y5));
	} else if (c <= -5.1e-258) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (c <= 3.2e-267) {
		tmp = t_3;
	} else if (c <= 1.2e-176) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (c <= 1.85e-170) {
		tmp = b * ((y * k) * -y4);
	} else if (c <= 4e-18) {
		tmp = t_1;
	} else if (c <= 1.25e-15) {
		tmp = a * ((x * y) * b);
	} else if (c <= 1.3e+232) {
		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 = b * (y0 * ((z * k) - (x * j)))
	t_2 = c * (y0 * ((x * y2) - (z * y3)))
	t_3 = k * (z * ((b * y0) - (i * y1)))
	tmp = 0
	if c <= -1.55e+59:
		tmp = t_2
	elif c <= -4800000.0:
		tmp = t_1
	elif c <= -1.25e-61:
		tmp = b * (t * ((j * y4) - (z * a)))
	elif c <= -4.3e-100:
		tmp = j * (y0 * (y3 * y5))
	elif c <= -5.1e-258:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif c <= 3.2e-267:
		tmp = t_3
	elif c <= 1.2e-176:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif c <= 1.85e-170:
		tmp = b * ((y * k) * -y4)
	elif c <= 4e-18:
		tmp = t_1
	elif c <= 1.25e-15:
		tmp = a * ((x * y) * b)
	elif c <= 1.3e+232:
		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(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	t_2 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	t_3 = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))))
	tmp = 0.0
	if (c <= -1.55e+59)
		tmp = t_2;
	elseif (c <= -4800000.0)
		tmp = t_1;
	elseif (c <= -1.25e-61)
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	elseif (c <= -4.3e-100)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (c <= -5.1e-258)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (c <= 3.2e-267)
		tmp = t_3;
	elseif (c <= 1.2e-176)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (c <= 1.85e-170)
		tmp = Float64(b * Float64(Float64(y * k) * Float64(-y4)));
	elseif (c <= 4e-18)
		tmp = t_1;
	elseif (c <= 1.25e-15)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (c <= 1.3e+232)
		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 = b * (y0 * ((z * k) - (x * j)));
	t_2 = c * (y0 * ((x * y2) - (z * y3)));
	t_3 = k * (z * ((b * y0) - (i * y1)));
	tmp = 0.0;
	if (c <= -1.55e+59)
		tmp = t_2;
	elseif (c <= -4800000.0)
		tmp = t_1;
	elseif (c <= -1.25e-61)
		tmp = b * (t * ((j * y4) - (z * a)));
	elseif (c <= -4.3e-100)
		tmp = j * (y0 * (y3 * y5));
	elseif (c <= -5.1e-258)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (c <= 3.2e-267)
		tmp = t_3;
	elseif (c <= 1.2e-176)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (c <= 1.85e-170)
		tmp = b * ((y * k) * -y4);
	elseif (c <= 4e-18)
		tmp = t_1;
	elseif (c <= 1.25e-15)
		tmp = a * ((x * y) * b);
	elseif (c <= 1.3e+232)
		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[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -1.55e+59], t$95$2, If[LessEqual[c, -4800000.0], t$95$1, If[LessEqual[c, -1.25e-61], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -4.3e-100], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -5.1e-258], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.2e-267], t$95$3, If[LessEqual[c, 1.2e-176], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.85e-170], N[(b * N[(N[(y * k), $MachinePrecision] * (-y4)), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 4e-18], t$95$1, If[LessEqual[c, 1.25e-15], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.3e+232], t$95$3, t$95$2]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if c < -1.55000000000000007e59 or 1.29999999999999987e232 < c

   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 y0 around inf 48.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 48.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 48.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 48.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 48.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 48.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 48.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 48.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 48.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in c around inf 44.8%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 44.8%

         \[\leadsto c \cdot \color{blue}{\left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   8. Simplified 44.8%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   if -1.55000000000000007e59 < c < -4.8e6 or 1.85e-170 < c < 4.0000000000000003e-18

   1. Initial program 31.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 34.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 41.9%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -4.8e6 < c < -1.25e-61

   1. Initial program 26.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 53.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in t around inf 60.2%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 60.2%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right) \]

      2. mul-1-neg 60.2%

         \[\leadsto b \cdot \left(t \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right) \]

      3. unsub-neg 60.2%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right) \]

   6. Simplified 60.2%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(j \cdot y4 - a \cdot z\right)\right)} \]

   if -1.25e-61 < c < -4.29999999999999998e-100

   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 y0 around inf 33.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 33.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 33.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 33.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 17.8%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 67.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 67.2%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 67.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

   9. Simplified 67.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(y5 \cdot y3\right) \cdot y0\right)} \]

   if -4.29999999999999998e-100 < c < -5.0999999999999997e-258

   1. Initial program 30.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 52.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in k around inf 51.1%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if -5.0999999999999997e-258 < c < 3.19999999999999986e-267 or 1.25e-15 < c < 1.29999999999999987e232

   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 k around inf 35.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 35.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 35.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 35.6%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 35.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 35.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 35.6%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 35.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 38.0%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if 3.19999999999999986e-267 < c < 1.20000000000000003e-176

   1. Initial program 43.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 43.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 43.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 43.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 43.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 43.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 43.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 43.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 44.1%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 44.1%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 44.1%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 44.1%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 44.1%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if 1.20000000000000003e-176 < c < 1.85e-170

   1. Initial program 74.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 75.4%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around 0 75.4%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y\right)\right)}\right) \]
   6. Step-by-step derivation

      1. neg-mul-1 75.4%

         \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(-k \cdot y\right)}\right) \]

      2. distribute-lft-neg-in 75.4%

         \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(\left(-k\right) \cdot y\right)}\right) \]

      3. *-commutative 75.4%

         \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(y \cdot \left(-k\right)\right)}\right) \]

   7. Simplified 75.4%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(y \cdot \left(-k\right)\right)}\right) \]

   if 4.0000000000000003e-18 < c < 1.25e-15

   1. Initial program 49.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 94.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 51.4%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 51.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 51.4%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 51.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 51.4%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 94.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 45.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -1.55 \cdot 10^{+59}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -4800000:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -1.25 \cdot 10^{-61}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;c \leq -4.3 \cdot 10^{-100}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -5.1 \cdot 10^{-258}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 3.2 \cdot 10^{-267}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 1.2 \cdot 10^{-176}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 1.85 \cdot 10^{-170}:\\ \;\;\;\;b \cdot \left(\left(y \cdot k\right) \cdot \left(-y4\right)\right)\\ \mathbf{elif}\;c \leq 4 \cdot 10^{-18}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 1.25 \cdot 10^{-15}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;c \leq 1.3 \cdot 10^{+232}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 28: 28.8% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_2 := i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{if}\;y5 \leq -8.6 \cdot 10^{+161}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.08 \cdot 10^{+107}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq -9 \cdot 10^{-98}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 1.22 \cdot 10^{-117}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 2.7 \cdot 10^{-69}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 2.1 \cdot 10^{-30}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 3 \cdot 10^{+81}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 2.85 \cdot 10^{+96}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 3.4 \cdot 10^{+135}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 2.8 \cdot 10^{+160}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot a\right) \cdot \left(-y2\right)\right)\\ \mathbf{elif}\;y5 \leq 7.8 \cdot 10^{+233}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (- (* i y1) (* b y0)))))
        (t_2 (* i (* k (- (* y y5) (* z y1))))))
   (if (<= y5 -8.6e+161)
     (* a (* t (* y2 y5)))
     (if (<= y5 -1.08e+107)
       t_2
       (if (<= y5 -9e-98)
         (* b (* y0 (- (* z k) (* x j))))
         (if (<= y5 1.22e-117)
           t_1
           (if (<= y5 2.7e-69)
             t_2
             (if (<= y5 2.1e-30)
               (* b (* k (* z y0)))
               (if (<= y5 3e+81)
                 (* b (* y4 (- (* t j) (* y k))))
                 (if (<= y5 2.85e+96)
                   (* a (* x (- (* y b) (* y1 y2))))
                   (if (<= y5 3.4e+135)
                     t_1
                     (if (<= y5 2.8e+160)
                       (* y1 (* (* x a) (- y2)))
                       (if (<= y5 7.8e+233)
                         (* y2 (* a (* t y5)))
                         (* b (* t (- (* j y4) (* z a)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = i * (k * ((y * y5) - (z * y1)));
	double tmp;
	if (y5 <= -8.6e+161) {
		tmp = a * (t * (y2 * y5));
	} else if (y5 <= -1.08e+107) {
		tmp = t_2;
	} else if (y5 <= -9e-98) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y5 <= 1.22e-117) {
		tmp = t_1;
	} else if (y5 <= 2.7e-69) {
		tmp = t_2;
	} else if (y5 <= 2.1e-30) {
		tmp = b * (k * (z * y0));
	} else if (y5 <= 3e+81) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= 2.85e+96) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 3.4e+135) {
		tmp = t_1;
	} else if (y5 <= 2.8e+160) {
		tmp = y1 * ((x * a) * -y2);
	} else if (y5 <= 7.8e+233) {
		tmp = y2 * (a * (t * y5));
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	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 = j * (x * ((i * y1) - (b * y0)))
    t_2 = i * (k * ((y * y5) - (z * y1)))
    if (y5 <= (-8.6d+161)) then
        tmp = a * (t * (y2 * y5))
    else if (y5 <= (-1.08d+107)) then
        tmp = t_2
    else if (y5 <= (-9d-98)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y5 <= 1.22d-117) then
        tmp = t_1
    else if (y5 <= 2.7d-69) then
        tmp = t_2
    else if (y5 <= 2.1d-30) then
        tmp = b * (k * (z * y0))
    else if (y5 <= 3d+81) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y5 <= 2.85d+96) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y5 <= 3.4d+135) then
        tmp = t_1
    else if (y5 <= 2.8d+160) then
        tmp = y1 * ((x * a) * -y2)
    else if (y5 <= 7.8d+233) then
        tmp = y2 * (a * (t * y5))
    else
        tmp = b * (t * ((j * y4) - (z * a)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * ((i * y1) - (b * y0)));
	double t_2 = i * (k * ((y * y5) - (z * y1)));
	double tmp;
	if (y5 <= -8.6e+161) {
		tmp = a * (t * (y2 * y5));
	} else if (y5 <= -1.08e+107) {
		tmp = t_2;
	} else if (y5 <= -9e-98) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y5 <= 1.22e-117) {
		tmp = t_1;
	} else if (y5 <= 2.7e-69) {
		tmp = t_2;
	} else if (y5 <= 2.1e-30) {
		tmp = b * (k * (z * y0));
	} else if (y5 <= 3e+81) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= 2.85e+96) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y5 <= 3.4e+135) {
		tmp = t_1;
	} else if (y5 <= 2.8e+160) {
		tmp = y1 * ((x * a) * -y2);
	} else if (y5 <= 7.8e+233) {
		tmp = y2 * (a * (t * y5));
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (x * ((i * y1) - (b * y0)))
	t_2 = i * (k * ((y * y5) - (z * y1)))
	tmp = 0
	if y5 <= -8.6e+161:
		tmp = a * (t * (y2 * y5))
	elif y5 <= -1.08e+107:
		tmp = t_2
	elif y5 <= -9e-98:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y5 <= 1.22e-117:
		tmp = t_1
	elif y5 <= 2.7e-69:
		tmp = t_2
	elif y5 <= 2.1e-30:
		tmp = b * (k * (z * y0))
	elif y5 <= 3e+81:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y5 <= 2.85e+96:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y5 <= 3.4e+135:
		tmp = t_1
	elif y5 <= 2.8e+160:
		tmp = y1 * ((x * a) * -y2)
	elif y5 <= 7.8e+233:
		tmp = y2 * (a * (t * y5))
	else:
		tmp = b * (t * ((j * y4) - (z * a)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_2 = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))))
	tmp = 0.0
	if (y5 <= -8.6e+161)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (y5 <= -1.08e+107)
		tmp = t_2;
	elseif (y5 <= -9e-98)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y5 <= 1.22e-117)
		tmp = t_1;
	elseif (y5 <= 2.7e-69)
		tmp = t_2;
	elseif (y5 <= 2.1e-30)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (y5 <= 3e+81)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= 2.85e+96)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y5 <= 3.4e+135)
		tmp = t_1;
	elseif (y5 <= 2.8e+160)
		tmp = Float64(y1 * Float64(Float64(x * a) * Float64(-y2)));
	elseif (y5 <= 7.8e+233)
		tmp = Float64(y2 * Float64(a * Float64(t * y5)));
	else
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (x * ((i * y1) - (b * y0)));
	t_2 = i * (k * ((y * y5) - (z * y1)));
	tmp = 0.0;
	if (y5 <= -8.6e+161)
		tmp = a * (t * (y2 * y5));
	elseif (y5 <= -1.08e+107)
		tmp = t_2;
	elseif (y5 <= -9e-98)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y5 <= 1.22e-117)
		tmp = t_1;
	elseif (y5 <= 2.7e-69)
		tmp = t_2;
	elseif (y5 <= 2.1e-30)
		tmp = b * (k * (z * y0));
	elseif (y5 <= 3e+81)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y5 <= 2.85e+96)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y5 <= 3.4e+135)
		tmp = t_1;
	elseif (y5 <= 2.8e+160)
		tmp = y1 * ((x * a) * -y2);
	elseif (y5 <= 7.8e+233)
		tmp = y2 * (a * (t * y5));
	else
		tmp = b * (t * ((j * y4) - (z * a)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -8.6e+161], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.08e+107], t$95$2, If[LessEqual[y5, -9e-98], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.22e-117], t$95$1, If[LessEqual[y5, 2.7e-69], t$95$2, If[LessEqual[y5, 2.1e-30], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 3e+81], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.85e+96], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 3.4e+135], t$95$1, If[LessEqual[y5, 2.8e+160], N[(y1 * N[(N[(x * a), $MachinePrecision] * (-y2)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 7.8e+233], N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y5 < -8.6e161

   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 y2 around inf 46.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 49.8%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 53.0%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 53.0%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 53.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if -8.6e161 < y5 < -1.08000000000000002e107 or 1.21999999999999997e-117 < y5 < 2.6999999999999997e-69

   1. Initial program 30.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 46.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 46.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 46.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 46.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 46.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 46.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 46.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 46.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 51.0%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 51.0%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 51.0%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 51.0%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 51.0%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if -1.08000000000000002e107 < y5 < -8.99999999999999994e-98

   1. Initial program 34.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 51.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 45.8%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -8.99999999999999994e-98 < y5 < 1.21999999999999997e-117 or 2.8499999999999999e96 < y5 < 3.4000000000000001e135

   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 x around inf 40.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 40.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   if 2.6999999999999997e-69 < y5 < 2.1000000000000002e-30

   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 y0 around inf 70.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 70.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 70.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 70.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 70.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 70.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 70.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 70.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 70.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 70.5%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 60.9%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 60.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 60.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 60.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 60.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 60.9%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 60.9%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if 2.1000000000000002e-30 < y5 < 2.99999999999999997e81

   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 b around inf 49.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 50.7%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 2.99999999999999997e81 < y5 < 2.8499999999999999e96

   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 42.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 60.4%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 60.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 60.4%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 60.4%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 60.4%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   if 3.4000000000000001e135 < y5 < 2.8e160

   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 y2 around inf 33.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y1 around inf 66.9%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 66.9%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 66.9%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 66.9%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 66.9%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around 0 67.2%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot x\right)\right)}\right) \]
   8. Step-by-step derivation

      1. mul-1-neg 67.2%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(-a \cdot x\right)}\right) \]

      2. distribute-lft-neg-out 67.2%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(\left(-a\right) \cdot x\right)}\right) \]

      3. *-commutative 67.2%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(x \cdot \left(-a\right)\right)}\right) \]

   9. Simplified 67.2%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(x \cdot \left(-a\right)\right)}\right) \]

   if 2.8e160 < y5 < 7.7999999999999998e233

   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 y2 around inf 57.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 57.6%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 64.6%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 64.6%

         \[\leadsto y2 \cdot \left(a \cdot \color{blue}{\left(y5 \cdot t\right)}\right) \]

   7. Simplified 64.6%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot t\right)\right)} \]

   if 7.7999999999999998e233 < y5

   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 b around inf 29.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in t around inf 37.6%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 37.6%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right) \]

      2. mul-1-neg 37.6%

         \[\leadsto b \cdot \left(t \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right) \]

      3. unsub-neg 37.6%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right) \]

   6. Simplified 37.6%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(j \cdot y4 - a \cdot z\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 47.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -8.6 \cdot 10^{+161}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.08 \cdot 10^{+107}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq -9 \cdot 10^{-98}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq 1.22 \cdot 10^{-117}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 2.7 \cdot 10^{-69}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 2.1 \cdot 10^{-30}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 3 \cdot 10^{+81}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 2.85 \cdot 10^{+96}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y5 \leq 3.4 \cdot 10^{+135}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 2.8 \cdot 10^{+160}:\\ \;\;\;\;y1 \cdot \left(\left(x \cdot a\right) \cdot \left(-y2\right)\right)\\ \mathbf{elif}\;y5 \leq 7.8 \cdot 10^{+233}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 29: 30.2% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ t_2 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ t_3 := y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ t_4 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;x \leq -8.4 \cdot 10^{-47}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x \leq -9.2 \cdot 10^{-97}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq -9.5 \cdot 10^{-100}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;x \leq -1.9 \cdot 10^{-160}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;x \leq -5.6 \cdot 10^{-200}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -2.3 \cdot 10^{-253}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;x \leq -7.8 \cdot 10^{-302}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;x \leq 6.1 \cdot 10^{-269}:\\ \;\;\;\;i \cdot \left(k \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;x \leq 6.9 \cdot 10^{-128}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{-67}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{+14}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* t (- (* j y4) (* z a)))))
        (t_2 (* b (* x (- (* y a) (* j y0)))))
        (t_3 (* y2 (* a (* t y5))))
        (t_4 (* b (* y0 (- (* z k) (* x j))))))
   (if (<= x -8.4e-47)
     t_2
     (if (<= x -9.2e-97)
       t_1
       (if (<= x -9.5e-100)
         t_4
         (if (<= x -1.9e-160)
           t_3
           (if (<= x -5.6e-200)
             (* k (* y1 (* y2 y4)))
             (if (<= x -2.3e-253)
               t_4
               (if (<= x -7.8e-302)
                 t_3
                 (if (<= x 6.1e-269)
                   (* i (* k (* z (- y1))))
                   (if (<= x 6.9e-128)
                     (* z (* b (* k y0)))
                     (if (<= x 8.2e-67)
                       t_1
                       (if (<= x 2.5e+14)
                         (* j (* y0 (* y3 y5)))
                         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 = b * (t * ((j * y4) - (z * a)));
	double t_2 = b * (x * ((y * a) - (j * y0)));
	double t_3 = y2 * (a * (t * y5));
	double t_4 = b * (y0 * ((z * k) - (x * j)));
	double tmp;
	if (x <= -8.4e-47) {
		tmp = t_2;
	} else if (x <= -9.2e-97) {
		tmp = t_1;
	} else if (x <= -9.5e-100) {
		tmp = t_4;
	} else if (x <= -1.9e-160) {
		tmp = t_3;
	} else if (x <= -5.6e-200) {
		tmp = k * (y1 * (y2 * y4));
	} else if (x <= -2.3e-253) {
		tmp = t_4;
	} else if (x <= -7.8e-302) {
		tmp = t_3;
	} else if (x <= 6.1e-269) {
		tmp = i * (k * (z * -y1));
	} else if (x <= 6.9e-128) {
		tmp = z * (b * (k * y0));
	} else if (x <= 8.2e-67) {
		tmp = t_1;
	} else if (x <= 2.5e+14) {
		tmp = j * (y0 * (y3 * y5));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = b * (t * ((j * y4) - (z * a)))
    t_2 = b * (x * ((y * a) - (j * y0)))
    t_3 = y2 * (a * (t * y5))
    t_4 = b * (y0 * ((z * k) - (x * j)))
    if (x <= (-8.4d-47)) then
        tmp = t_2
    else if (x <= (-9.2d-97)) then
        tmp = t_1
    else if (x <= (-9.5d-100)) then
        tmp = t_4
    else if (x <= (-1.9d-160)) then
        tmp = t_3
    else if (x <= (-5.6d-200)) then
        tmp = k * (y1 * (y2 * y4))
    else if (x <= (-2.3d-253)) then
        tmp = t_4
    else if (x <= (-7.8d-302)) then
        tmp = t_3
    else if (x <= 6.1d-269) then
        tmp = i * (k * (z * -y1))
    else if (x <= 6.9d-128) then
        tmp = z * (b * (k * y0))
    else if (x <= 8.2d-67) then
        tmp = t_1
    else if (x <= 2.5d+14) then
        tmp = j * (y0 * (y3 * y5))
    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 = b * (t * ((j * y4) - (z * a)));
	double t_2 = b * (x * ((y * a) - (j * y0)));
	double t_3 = y2 * (a * (t * y5));
	double t_4 = b * (y0 * ((z * k) - (x * j)));
	double tmp;
	if (x <= -8.4e-47) {
		tmp = t_2;
	} else if (x <= -9.2e-97) {
		tmp = t_1;
	} else if (x <= -9.5e-100) {
		tmp = t_4;
	} else if (x <= -1.9e-160) {
		tmp = t_3;
	} else if (x <= -5.6e-200) {
		tmp = k * (y1 * (y2 * y4));
	} else if (x <= -2.3e-253) {
		tmp = t_4;
	} else if (x <= -7.8e-302) {
		tmp = t_3;
	} else if (x <= 6.1e-269) {
		tmp = i * (k * (z * -y1));
	} else if (x <= 6.9e-128) {
		tmp = z * (b * (k * y0));
	} else if (x <= 8.2e-67) {
		tmp = t_1;
	} else if (x <= 2.5e+14) {
		tmp = j * (y0 * (y3 * y5));
	} 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 = b * (t * ((j * y4) - (z * a)))
	t_2 = b * (x * ((y * a) - (j * y0)))
	t_3 = y2 * (a * (t * y5))
	t_4 = b * (y0 * ((z * k) - (x * j)))
	tmp = 0
	if x <= -8.4e-47:
		tmp = t_2
	elif x <= -9.2e-97:
		tmp = t_1
	elif x <= -9.5e-100:
		tmp = t_4
	elif x <= -1.9e-160:
		tmp = t_3
	elif x <= -5.6e-200:
		tmp = k * (y1 * (y2 * y4))
	elif x <= -2.3e-253:
		tmp = t_4
	elif x <= -7.8e-302:
		tmp = t_3
	elif x <= 6.1e-269:
		tmp = i * (k * (z * -y1))
	elif x <= 6.9e-128:
		tmp = z * (b * (k * y0))
	elif x <= 8.2e-67:
		tmp = t_1
	elif x <= 2.5e+14:
		tmp = j * (y0 * (y3 * y5))
	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(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))))
	t_2 = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	t_3 = Float64(y2 * Float64(a * Float64(t * y5)))
	t_4 = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	tmp = 0.0
	if (x <= -8.4e-47)
		tmp = t_2;
	elseif (x <= -9.2e-97)
		tmp = t_1;
	elseif (x <= -9.5e-100)
		tmp = t_4;
	elseif (x <= -1.9e-160)
		tmp = t_3;
	elseif (x <= -5.6e-200)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (x <= -2.3e-253)
		tmp = t_4;
	elseif (x <= -7.8e-302)
		tmp = t_3;
	elseif (x <= 6.1e-269)
		tmp = Float64(i * Float64(k * Float64(z * Float64(-y1))));
	elseif (x <= 6.9e-128)
		tmp = Float64(z * Float64(b * Float64(k * y0)));
	elseif (x <= 8.2e-67)
		tmp = t_1;
	elseif (x <= 2.5e+14)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	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 = b * (t * ((j * y4) - (z * a)));
	t_2 = b * (x * ((y * a) - (j * y0)));
	t_3 = y2 * (a * (t * y5));
	t_4 = b * (y0 * ((z * k) - (x * j)));
	tmp = 0.0;
	if (x <= -8.4e-47)
		tmp = t_2;
	elseif (x <= -9.2e-97)
		tmp = t_1;
	elseif (x <= -9.5e-100)
		tmp = t_4;
	elseif (x <= -1.9e-160)
		tmp = t_3;
	elseif (x <= -5.6e-200)
		tmp = k * (y1 * (y2 * y4));
	elseif (x <= -2.3e-253)
		tmp = t_4;
	elseif (x <= -7.8e-302)
		tmp = t_3;
	elseif (x <= 6.1e-269)
		tmp = i * (k * (z * -y1));
	elseif (x <= 6.9e-128)
		tmp = z * (b * (k * y0));
	elseif (x <= 8.2e-67)
		tmp = t_1;
	elseif (x <= 2.5e+14)
		tmp = j * (y0 * (y3 * y5));
	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[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -8.4e-47], t$95$2, If[LessEqual[x, -9.2e-97], t$95$1, If[LessEqual[x, -9.5e-100], t$95$4, If[LessEqual[x, -1.9e-160], t$95$3, If[LessEqual[x, -5.6e-200], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.3e-253], t$95$4, If[LessEqual[x, -7.8e-302], t$95$3, If[LessEqual[x, 6.1e-269], N[(i * N[(k * N[(z * (-y1)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.9e-128], N[(z * N[(b * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 8.2e-67], t$95$1, If[LessEqual[x, 2.5e+14], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if x < -8.4000000000000003e-47 or 2.5e14 < x

   1. Initial program 21.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 34.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 42.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if -8.4000000000000003e-47 < x < -9.19999999999999976e-97 or 6.8999999999999997e-128 < x < 8.1999999999999994e-67

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 39.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in t around inf 58.2%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 58.2%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right) \]

      2. mul-1-neg 58.2%

         \[\leadsto b \cdot \left(t \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right) \]

      3. unsub-neg 58.2%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right) \]

   6. Simplified 58.2%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(j \cdot y4 - a \cdot z\right)\right)} \]

   if -9.19999999999999976e-97 < x < -9.4999999999999992e-100 or -5.60000000000000013e-200 < x < -2.3e-253

   1. Initial program 55.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 67.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 67.5%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -9.4999999999999992e-100 < x < -1.8999999999999999e-160 or -2.3e-253 < x < -7.7999999999999998e-302

   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 y2 around inf 61.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 40.4%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 37.0%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 37.0%

         \[\leadsto y2 \cdot \left(a \cdot \color{blue}{\left(y5 \cdot t\right)}\right) \]

   7. Simplified 37.0%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot t\right)\right)} \]

   if -1.8999999999999999e-160 < x < -5.60000000000000013e-200

   1. Initial program 1.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 42.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.9%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 42.9%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 42.9%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 42.9%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 42.9%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 42.9%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 42.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 29.5%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around inf 43.6%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]

   if -7.7999999999999998e-302 < x < 6.0999999999999995e-269

   1. Initial program 27.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 55.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 55.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 55.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 55.4%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 55.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 55.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 55.4%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 55.4%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 47.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around 0 47.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 47.1%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. neg-mul-1 47.1%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(k \cdot \left(y1 \cdot z\right)\right) \]

      3. *-commutative 47.1%

         \[\leadsto \left(-i\right) \cdot \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \]

   9. Simplified 47.1%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(k \cdot \left(z \cdot y1\right)\right)} \]

   if 6.0999999999999995e-269 < x < 6.8999999999999997e-128

   1. Initial program 33.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 42.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 42.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 42.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 42.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 42.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 42.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 42.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 42.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 41.9%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 41.9%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 41.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 41.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 41.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 41.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 41.9%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 31.5%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. pow1 31.5%

          \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]

   11. Applied egg-rr 31.5%

       \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]
   12. Step-by-step derivation

       1. unpow1 31.5%

          \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

       2. associate-*r* 38.6%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       3. associate-*r* 41.9%

          \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   13. Simplified 41.9%

       \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   if 8.1999999999999994e-67 < x < 2.5e14

   1. Initial program 57.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 38.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 33.1%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 37.7%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 37.7%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 37.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

   9. Simplified 37.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(y5 \cdot y3\right) \cdot y0\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 44.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -8.4 \cdot 10^{-47}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq -9.2 \cdot 10^{-97}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;x \leq -9.5 \cdot 10^{-100}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -1.9 \cdot 10^{-160}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -5.6 \cdot 10^{-200}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq -2.3 \cdot 10^{-253}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -7.8 \cdot 10^{-302}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6.1 \cdot 10^{-269}:\\ \;\;\;\;i \cdot \left(k \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;x \leq 6.9 \cdot 10^{-128}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 8.2 \cdot 10^{-67}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;x \leq 2.5 \cdot 10^{+14}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 30: 22.9% accurate, 1.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{if}\;y0 \leq -1.8 \cdot 10^{+103}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(-y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq -1.8 \cdot 10^{+57}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq -1.05 \cdot 10^{-148}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq -2.2 \cdot 10^{-180}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq -6.8 \cdot 10^{-282}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 3.8 \cdot 10^{-307}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 1.6 \cdot 10^{-239}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y0 \leq 2.15 \cdot 10^{-190}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 4 \cdot 10^{-138}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 3.3 \cdot 10^{-77}:\\ \;\;\;\;\left(-c\right) \cdot \left(\left(x \cdot i\right) \cdot y\right)\\ \mathbf{elif}\;y0 \leq 1020:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* a (* x b)))))
   (if (<= y0 -1.8e+103)
     (* k (* y0 (- (* y2 y5))))
     (if (<= y0 -1.8e+57)
       (* j (* x (* i y1)))
       (if (<= y0 -1.05e-148)
         (* y2 (* t (* a y5)))
         (if (<= y0 -2.2e-180)
           (* i (* y1 (* x j)))
           (if (<= y0 -6.8e-282)
             (* a (* t (* y2 y5)))
             (if (<= y0 3.8e-307)
               (* i (* y (* k y5)))
               (if (<= y0 1.6e-239)
                 t_1
                 (if (<= y0 2.15e-190)
                   (* i (* k (* y y5)))
                   (if (<= y0 4e-138)
                     (* k (* y1 (* y2 y4)))
                     (if (<= y0 3.3e-77)
                       (* (- c) (* (* x i) y))
                       (if (<= y0 1020.0) t_1 (* z (* b (* k 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 = y * (a * (x * b));
	double tmp;
	if (y0 <= -1.8e+103) {
		tmp = k * (y0 * -(y2 * y5));
	} else if (y0 <= -1.8e+57) {
		tmp = j * (x * (i * y1));
	} else if (y0 <= -1.05e-148) {
		tmp = y2 * (t * (a * y5));
	} else if (y0 <= -2.2e-180) {
		tmp = i * (y1 * (x * j));
	} else if (y0 <= -6.8e-282) {
		tmp = a * (t * (y2 * y5));
	} else if (y0 <= 3.8e-307) {
		tmp = i * (y * (k * y5));
	} else if (y0 <= 1.6e-239) {
		tmp = t_1;
	} else if (y0 <= 2.15e-190) {
		tmp = i * (k * (y * y5));
	} else if (y0 <= 4e-138) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y0 <= 3.3e-77) {
		tmp = -c * ((x * i) * y);
	} else if (y0 <= 1020.0) {
		tmp = t_1;
	} else {
		tmp = z * (b * (k * 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 = y * (a * (x * b))
    if (y0 <= (-1.8d+103)) then
        tmp = k * (y0 * -(y2 * y5))
    else if (y0 <= (-1.8d+57)) then
        tmp = j * (x * (i * y1))
    else if (y0 <= (-1.05d-148)) then
        tmp = y2 * (t * (a * y5))
    else if (y0 <= (-2.2d-180)) then
        tmp = i * (y1 * (x * j))
    else if (y0 <= (-6.8d-282)) then
        tmp = a * (t * (y2 * y5))
    else if (y0 <= 3.8d-307) then
        tmp = i * (y * (k * y5))
    else if (y0 <= 1.6d-239) then
        tmp = t_1
    else if (y0 <= 2.15d-190) then
        tmp = i * (k * (y * y5))
    else if (y0 <= 4d-138) then
        tmp = k * (y1 * (y2 * y4))
    else if (y0 <= 3.3d-77) then
        tmp = -c * ((x * i) * y)
    else if (y0 <= 1020.0d0) then
        tmp = t_1
    else
        tmp = z * (b * (k * 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 = y * (a * (x * b));
	double tmp;
	if (y0 <= -1.8e+103) {
		tmp = k * (y0 * -(y2 * y5));
	} else if (y0 <= -1.8e+57) {
		tmp = j * (x * (i * y1));
	} else if (y0 <= -1.05e-148) {
		tmp = y2 * (t * (a * y5));
	} else if (y0 <= -2.2e-180) {
		tmp = i * (y1 * (x * j));
	} else if (y0 <= -6.8e-282) {
		tmp = a * (t * (y2 * y5));
	} else if (y0 <= 3.8e-307) {
		tmp = i * (y * (k * y5));
	} else if (y0 <= 1.6e-239) {
		tmp = t_1;
	} else if (y0 <= 2.15e-190) {
		tmp = i * (k * (y * y5));
	} else if (y0 <= 4e-138) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y0 <= 3.3e-77) {
		tmp = -c * ((x * i) * y);
	} else if (y0 <= 1020.0) {
		tmp = t_1;
	} else {
		tmp = z * (b * (k * y0));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (a * (x * b))
	tmp = 0
	if y0 <= -1.8e+103:
		tmp = k * (y0 * -(y2 * y5))
	elif y0 <= -1.8e+57:
		tmp = j * (x * (i * y1))
	elif y0 <= -1.05e-148:
		tmp = y2 * (t * (a * y5))
	elif y0 <= -2.2e-180:
		tmp = i * (y1 * (x * j))
	elif y0 <= -6.8e-282:
		tmp = a * (t * (y2 * y5))
	elif y0 <= 3.8e-307:
		tmp = i * (y * (k * y5))
	elif y0 <= 1.6e-239:
		tmp = t_1
	elif y0 <= 2.15e-190:
		tmp = i * (k * (y * y5))
	elif y0 <= 4e-138:
		tmp = k * (y1 * (y2 * y4))
	elif y0 <= 3.3e-77:
		tmp = -c * ((x * i) * y)
	elif y0 <= 1020.0:
		tmp = t_1
	else:
		tmp = z * (b * (k * 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(y * Float64(a * Float64(x * b)))
	tmp = 0.0
	if (y0 <= -1.8e+103)
		tmp = Float64(k * Float64(y0 * Float64(-Float64(y2 * y5))));
	elseif (y0 <= -1.8e+57)
		tmp = Float64(j * Float64(x * Float64(i * y1)));
	elseif (y0 <= -1.05e-148)
		tmp = Float64(y2 * Float64(t * Float64(a * y5)));
	elseif (y0 <= -2.2e-180)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	elseif (y0 <= -6.8e-282)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (y0 <= 3.8e-307)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (y0 <= 1.6e-239)
		tmp = t_1;
	elseif (y0 <= 2.15e-190)
		tmp = Float64(i * Float64(k * Float64(y * y5)));
	elseif (y0 <= 4e-138)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (y0 <= 3.3e-77)
		tmp = Float64(Float64(-c) * Float64(Float64(x * i) * y));
	elseif (y0 <= 1020.0)
		tmp = t_1;
	else
		tmp = Float64(z * Float64(b * Float64(k * 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 = y * (a * (x * b));
	tmp = 0.0;
	if (y0 <= -1.8e+103)
		tmp = k * (y0 * -(y2 * y5));
	elseif (y0 <= -1.8e+57)
		tmp = j * (x * (i * y1));
	elseif (y0 <= -1.05e-148)
		tmp = y2 * (t * (a * y5));
	elseif (y0 <= -2.2e-180)
		tmp = i * (y1 * (x * j));
	elseif (y0 <= -6.8e-282)
		tmp = a * (t * (y2 * y5));
	elseif (y0 <= 3.8e-307)
		tmp = i * (y * (k * y5));
	elseif (y0 <= 1.6e-239)
		tmp = t_1;
	elseif (y0 <= 2.15e-190)
		tmp = i * (k * (y * y5));
	elseif (y0 <= 4e-138)
		tmp = k * (y1 * (y2 * y4));
	elseif (y0 <= 3.3e-77)
		tmp = -c * ((x * i) * y);
	elseif (y0 <= 1020.0)
		tmp = t_1;
	else
		tmp = z * (b * (k * 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[(y * N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -1.8e+103], N[(k * N[(y0 * (-N[(y2 * y5), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -1.8e+57], N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -1.05e-148], N[(y2 * N[(t * N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -2.2e-180], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -6.8e-282], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 3.8e-307], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.6e-239], t$95$1, If[LessEqual[y0, 2.15e-190], N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 4e-138], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 3.3e-77], N[((-c) * N[(N[(x * i), $MachinePrecision] * y), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1020.0], t$95$1, N[(z * N[(b * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if y0 < -1.80000000000000008e103

   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 y0 around inf 60.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 60.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 60.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 60.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 60.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 45.5%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around 0 43.0%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.0%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. neg-mul-1 43.0%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right) \]

      3. *-commutative 43.0%

         \[\leadsto \left(-k\right) \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot y0\right)} \]

      4. *-commutative 43.0%

         \[\leadsto \left(-k\right) \cdot \left(\color{blue}{\left(y5 \cdot y2\right)} \cdot y0\right) \]

   9. Simplified 43.0%

      \[\leadsto \color{blue}{\left(-k\right) \cdot \left(\left(y5 \cdot y2\right) \cdot y0\right)} \]

   if -1.80000000000000008e103 < y0 < -1.8000000000000001e57

   1. Initial program 30.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 38.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 61.6%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 38.7%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]

   if -1.8000000000000001e57 < y0 < -1.05e-148

   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 y2 around inf 39.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 30.1%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 27.7%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(a \cdot y5\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 27.7%

         \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   7. Simplified 27.7%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   if -1.05e-148 < y0 < -2.20000000000000013e-180

   1. Initial program 24.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 50.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 63.1%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 51.2%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 63.2%

         \[\leadsto i \cdot \color{blue}{\left(\left(j \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 63.2%

         \[\leadsto i \cdot \left(\color{blue}{\left(x \cdot j\right)} \cdot y1\right) \]

   7. Simplified 63.2%

      \[\leadsto \color{blue}{i \cdot \left(\left(x \cdot j\right) \cdot y1\right)} \]

   if -2.20000000000000013e-180 < y0 < -6.79999999999999997e-282

   1. Initial program 23.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 53.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 48.2%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 37.0%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 37.0%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 37.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if -6.79999999999999997e-282 < y0 < 3.79999999999999985e-307

   1. Initial program 56.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 29.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 29.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 29.8%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 29.8%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 29.8%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 29.8%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 29.8%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 29.8%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 30.0%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in y5 around inf 58.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 58.5%

         \[\leadsto i \cdot \color{blue}{\left(\left(k \cdot y\right) \cdot y5\right)} \]

      2. *-commutative 58.5%

         \[\leadsto i \cdot \left(\color{blue}{\left(y \cdot k\right)} \cdot y5\right) \]

      3. associate-*l* 58.5%

         \[\leadsto i \cdot \color{blue}{\left(y \cdot \left(k \cdot y5\right)\right)} \]

   9. Simplified 58.5%

      \[\leadsto \color{blue}{i \cdot \left(y \cdot \left(k \cdot y5\right)\right)} \]

   if 3.79999999999999985e-307 < y0 < 1.6e-239 or 3.29999999999999991e-77 < y0 < 1020

   1. Initial program 38.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 50.9%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 43.1%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 43.1%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 43.1%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 43.1%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 43.1%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 32.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 32.2%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

      2. associate-*r* 35.9%

         \[\leadsto {\left(a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)}\right)}^{1} \]

   9. Applied egg-rr 35.9%

      \[\leadsto \color{blue}{{\left(a \cdot \left(\left(b \cdot x\right) \cdot y\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 35.9%

          \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]

       2. associate-*r* 43.0%

          \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot x\right)\right) \cdot y} \]

   11. Simplified 43.0%

       \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot x\right)\right) \cdot y} \]

   if 1.6e-239 < y0 < 2.15e-190

   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 y around inf 50.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 50.3%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 50.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 50.3%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 50.3%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 50.3%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 50.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 50.3%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in y5 around inf 51.1%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]

   if 2.15e-190 < y0 < 4.00000000000000027e-138

   1. Initial program 14.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 36.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 36.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 36.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 36.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 36.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 36.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 36.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 36.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 37.8%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around inf 37.1%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]

   if 4.00000000000000027e-138 < y0 < 3.29999999999999991e-77

   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 y around inf 38.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 38.5%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 38.5%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 38.5%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 38.5%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 38.5%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 38.5%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 46.6%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in c around inf 39.7%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 39.7%

         \[\leadsto \color{blue}{-c \cdot \left(i \cdot \left(x \cdot y\right)\right)} \]

      2. distribute-rgt-neg-in 39.7%

         \[\leadsto \color{blue}{c \cdot \left(-i \cdot \left(x \cdot y\right)\right)} \]

      3. associate-*r* 47.2%

         \[\leadsto c \cdot \left(-\color{blue}{\left(i \cdot x\right) \cdot y}\right) \]

      4. distribute-lft-neg-in 47.2%

         \[\leadsto c \cdot \color{blue}{\left(\left(-i \cdot x\right) \cdot y\right)} \]

      5. *-commutative 47.2%

         \[\leadsto c \cdot \left(\left(-\color{blue}{x \cdot i}\right) \cdot y\right) \]

      6. distribute-rgt-neg-in 47.2%

         \[\leadsto c \cdot \left(\color{blue}{\left(x \cdot \left(-i\right)\right)} \cdot y\right) \]

   9. Simplified 47.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot \left(-i\right)\right) \cdot y\right)} \]

   if 1020 < y0

   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 y0 around inf 48.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 48.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 48.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 48.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 48.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 48.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 48.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 48.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 48.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 44.1%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 38.3%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 38.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 38.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 38.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 38.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 38.3%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 35.2%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. pow1 35.2%

          \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]

   11. Applied egg-rr 35.2%

       \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]
   12. Step-by-step derivation

       1. unpow1 35.2%

          \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

       2. associate-*r* 38.1%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       3. associate-*r* 42.3%

          \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   13. Simplified 42.3%

       \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]
3. Recombined 11 regimes into one program.

4. Final simplification 40.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.8 \cdot 10^{+103}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(-y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq -1.8 \cdot 10^{+57}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq -1.05 \cdot 10^{-148}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq -2.2 \cdot 10^{-180}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq -6.8 \cdot 10^{-282}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 3.8 \cdot 10^{-307}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 1.6 \cdot 10^{-239}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;y0 \leq 2.15 \cdot 10^{-190}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq 4 \cdot 10^{-138}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 3.3 \cdot 10^{-77}:\\ \;\;\;\;\left(-c\right) \cdot \left(\left(x \cdot i\right) \cdot y\right)\\ \mathbf{elif}\;y0 \leq 1020:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 31: 22.5% accurate, 1.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{if}\;x \leq -1.1 \cdot 10^{-10}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-50}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -5.2 \cdot 10^{-52}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -1.55 \cdot 10^{-159}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{-103}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{-65}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{+36}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6.8 \cdot 10^{+109}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{+117}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{+121}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 4.1 \cdot 10^{+137}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* a (* x b)))))
   (if (<= x -1.1e-10)
     t_1
     (if (<= x -8.5e-50)
       (* y0 (* y5 (* j y3)))
       (if (<= x -5.2e-52)
         (* b (* y4 (* t j)))
         (if (<= x -1.55e-159)
           (* y2 (* a (* t y5)))
           (if (<= x 2e-103)
             (* z (* b (* k y0)))
             (if (<= x 4.2e-65)
               (* y2 (* t (* a y5)))
               (if (<= x 1.9e+36)
                 (* j (* y0 (* y3 y5)))
                 (if (<= x 6.8e+109)
                   t_1
                   (if (<= x 4.5e+117)
                     (* i (* y (* k y5)))
                     (if (<= x 1.55e+121)
                       (* b (* k (* z y0)))
                       (if (<= x 4.1e+137)
                         (* b (* (* x y) a))
                         (* j (* x (* i y1))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (a * (x * b));
	double tmp;
	if (x <= -1.1e-10) {
		tmp = t_1;
	} else if (x <= -8.5e-50) {
		tmp = y0 * (y5 * (j * y3));
	} else if (x <= -5.2e-52) {
		tmp = b * (y4 * (t * j));
	} else if (x <= -1.55e-159) {
		tmp = y2 * (a * (t * y5));
	} else if (x <= 2e-103) {
		tmp = z * (b * (k * y0));
	} else if (x <= 4.2e-65) {
		tmp = y2 * (t * (a * y5));
	} else if (x <= 1.9e+36) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 6.8e+109) {
		tmp = t_1;
	} else if (x <= 4.5e+117) {
		tmp = i * (y * (k * y5));
	} else if (x <= 1.55e+121) {
		tmp = b * (k * (z * y0));
	} else if (x <= 4.1e+137) {
		tmp = b * ((x * y) * a);
	} else {
		tmp = j * (x * (i * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y * (a * (x * b))
    if (x <= (-1.1d-10)) then
        tmp = t_1
    else if (x <= (-8.5d-50)) then
        tmp = y0 * (y5 * (j * y3))
    else if (x <= (-5.2d-52)) then
        tmp = b * (y4 * (t * j))
    else if (x <= (-1.55d-159)) then
        tmp = y2 * (a * (t * y5))
    else if (x <= 2d-103) then
        tmp = z * (b * (k * y0))
    else if (x <= 4.2d-65) then
        tmp = y2 * (t * (a * y5))
    else if (x <= 1.9d+36) then
        tmp = j * (y0 * (y3 * y5))
    else if (x <= 6.8d+109) then
        tmp = t_1
    else if (x <= 4.5d+117) then
        tmp = i * (y * (k * y5))
    else if (x <= 1.55d+121) then
        tmp = b * (k * (z * y0))
    else if (x <= 4.1d+137) then
        tmp = b * ((x * y) * a)
    else
        tmp = j * (x * (i * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (a * (x * b));
	double tmp;
	if (x <= -1.1e-10) {
		tmp = t_1;
	} else if (x <= -8.5e-50) {
		tmp = y0 * (y5 * (j * y3));
	} else if (x <= -5.2e-52) {
		tmp = b * (y4 * (t * j));
	} else if (x <= -1.55e-159) {
		tmp = y2 * (a * (t * y5));
	} else if (x <= 2e-103) {
		tmp = z * (b * (k * y0));
	} else if (x <= 4.2e-65) {
		tmp = y2 * (t * (a * y5));
	} else if (x <= 1.9e+36) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 6.8e+109) {
		tmp = t_1;
	} else if (x <= 4.5e+117) {
		tmp = i * (y * (k * y5));
	} else if (x <= 1.55e+121) {
		tmp = b * (k * (z * y0));
	} else if (x <= 4.1e+137) {
		tmp = b * ((x * y) * a);
	} else {
		tmp = j * (x * (i * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (a * (x * b))
	tmp = 0
	if x <= -1.1e-10:
		tmp = t_1
	elif x <= -8.5e-50:
		tmp = y0 * (y5 * (j * y3))
	elif x <= -5.2e-52:
		tmp = b * (y4 * (t * j))
	elif x <= -1.55e-159:
		tmp = y2 * (a * (t * y5))
	elif x <= 2e-103:
		tmp = z * (b * (k * y0))
	elif x <= 4.2e-65:
		tmp = y2 * (t * (a * y5))
	elif x <= 1.9e+36:
		tmp = j * (y0 * (y3 * y5))
	elif x <= 6.8e+109:
		tmp = t_1
	elif x <= 4.5e+117:
		tmp = i * (y * (k * y5))
	elif x <= 1.55e+121:
		tmp = b * (k * (z * y0))
	elif x <= 4.1e+137:
		tmp = b * ((x * y) * a)
	else:
		tmp = j * (x * (i * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(a * Float64(x * b)))
	tmp = 0.0
	if (x <= -1.1e-10)
		tmp = t_1;
	elseif (x <= -8.5e-50)
		tmp = Float64(y0 * Float64(y5 * Float64(j * y3)));
	elseif (x <= -5.2e-52)
		tmp = Float64(b * Float64(y4 * Float64(t * j)));
	elseif (x <= -1.55e-159)
		tmp = Float64(y2 * Float64(a * Float64(t * y5)));
	elseif (x <= 2e-103)
		tmp = Float64(z * Float64(b * Float64(k * y0)));
	elseif (x <= 4.2e-65)
		tmp = Float64(y2 * Float64(t * Float64(a * y5)));
	elseif (x <= 1.9e+36)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (x <= 6.8e+109)
		tmp = t_1;
	elseif (x <= 4.5e+117)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (x <= 1.55e+121)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (x <= 4.1e+137)
		tmp = Float64(b * Float64(Float64(x * y) * a));
	else
		tmp = Float64(j * Float64(x * Float64(i * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (a * (x * b));
	tmp = 0.0;
	if (x <= -1.1e-10)
		tmp = t_1;
	elseif (x <= -8.5e-50)
		tmp = y0 * (y5 * (j * y3));
	elseif (x <= -5.2e-52)
		tmp = b * (y4 * (t * j));
	elseif (x <= -1.55e-159)
		tmp = y2 * (a * (t * y5));
	elseif (x <= 2e-103)
		tmp = z * (b * (k * y0));
	elseif (x <= 4.2e-65)
		tmp = y2 * (t * (a * y5));
	elseif (x <= 1.9e+36)
		tmp = j * (y0 * (y3 * y5));
	elseif (x <= 6.8e+109)
		tmp = t_1;
	elseif (x <= 4.5e+117)
		tmp = i * (y * (k * y5));
	elseif (x <= 1.55e+121)
		tmp = b * (k * (z * y0));
	elseif (x <= 4.1e+137)
		tmp = b * ((x * y) * a);
	else
		tmp = j * (x * (i * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.1e-10], t$95$1, If[LessEqual[x, -8.5e-50], N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -5.2e-52], N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.55e-159], N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2e-103], N[(z * N[(b * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.2e-65], N[(y2 * N[(t * N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.9e+36], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.8e+109], t$95$1, If[LessEqual[x, 4.5e+117], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.55e+121], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.1e+137], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision], N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if x < -1.09999999999999995e-10 or 1.90000000000000012e36 < x < 6.80000000000000013e109

   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 47.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 42.8%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 42.8%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 42.8%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 42.8%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 42.8%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 28.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 28.8%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

      2. associate-*r* 33.9%

         \[\leadsto {\left(a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)}\right)}^{1} \]

   9. Applied egg-rr 33.9%

      \[\leadsto \color{blue}{{\left(a \cdot \left(\left(b \cdot x\right) \cdot y\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 33.9%

          \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]

       2. associate-*r* 37.5%

          \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot x\right)\right) \cdot y} \]

   11. Simplified 37.5%

       \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot x\right)\right) \cdot y} \]

   if -1.09999999999999995e-10 < x < -8.50000000000000012e-50

   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 y0 around inf 74.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 74.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 74.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 74.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 87.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 53.9%

      \[\leadsto y0 \cdot \left(y5 \cdot \color{blue}{\left(j \cdot y3\right)}\right) \]

   if -8.50000000000000012e-50 < x < -5.1999999999999997e-52

   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 b around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 100.0%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(j \cdot t\right)}\right) \]

   if -5.1999999999999997e-52 < x < -1.55e-159

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 38.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 22.3%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 21.9%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 21.9%

         \[\leadsto y2 \cdot \left(a \cdot \color{blue}{\left(y5 \cdot t\right)}\right) \]

   7. Simplified 21.9%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot t\right)\right)} \]

   if -1.55e-159 < x < 1.99999999999999992e-103

   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 y0 around inf 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 37.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 37.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 30.6%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 27.9%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 27.9%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 26.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. pow1 26.7%

          \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]

   11. Applied egg-rr 26.7%

       \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]
   12. Step-by-step derivation

       1. unpow1 26.7%

          \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

       2. associate-*r* 29.4%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       3. associate-*r* 31.9%

          \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   13. Simplified 31.9%

       \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   if 1.99999999999999992e-103 < x < 4.20000000000000006e-65

   1. Initial program 16.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 58.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 50.9%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 50.8%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(a \cdot y5\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 50.8%

         \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   7. Simplified 50.8%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   if 4.20000000000000006e-65 < x < 1.90000000000000012e36

   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 y0 around inf 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 30.1%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 34.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 34.2%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 34.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

   9. Simplified 34.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(y5 \cdot y3\right) \cdot y0\right)} \]

   if 6.80000000000000013e109 < x < 4.5e117

   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 y around inf 66.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 66.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 66.7%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 66.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 66.7%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 66.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 66.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 66.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 66.8%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in y5 around inf 67.7%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 67.7%

         \[\leadsto i \cdot \color{blue}{\left(\left(k \cdot y\right) \cdot y5\right)} \]

      2. *-commutative 67.7%

         \[\leadsto i \cdot \left(\color{blue}{\left(y \cdot k\right)} \cdot y5\right) \]

      3. associate-*l* 67.7%

         \[\leadsto i \cdot \color{blue}{\left(y \cdot \left(k \cdot y5\right)\right)} \]

   9. Simplified 67.7%

      \[\leadsto \color{blue}{i \cdot \left(y \cdot \left(k \cdot y5\right)\right)} \]

   if 4.5e117 < x < 1.55000000000000004e121

   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 y0 around inf 66.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 66.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 66.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 66.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 66.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 66.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 66.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 66.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 66.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 100.0%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 100.0%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 100.0%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 100.0%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 100.0%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 100.0%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 100.0%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 67.0%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if 1.55000000000000004e121 < x < 4.09999999999999997e137

   1. Initial program 49.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 50.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 50.7%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 50.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 50.7%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 50.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 50.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 50.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 50.7%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in a around inf 4.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 4.6%

         \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

      2. *-commutative 4.6%

         \[\leadsto \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \cdot a \]

      3. associate-*l* 51.3%

         \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

   9. Simplified 51.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

   if 4.09999999999999997e137 < x

   1. Initial program 9.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 68.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 62.3%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 44.8%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]
3. Recombined 11 regimes into one program.

4. Final simplification 37.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.1 \cdot 10^{-10}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-50}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -5.2 \cdot 10^{-52}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -1.55 \cdot 10^{-159}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{-103}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{-65}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.9 \cdot 10^{+36}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6.8 \cdot 10^{+109}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{+117}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{+121}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 4.1 \cdot 10^{+137}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 32: 21.3% accurate, 1.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{if}\;x \leq -2.1 \cdot 10^{+142}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq -3.6 \cdot 10^{+67}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -30500000000000:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.35 \cdot 10^{-12}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;x \leq -3.8 \cdot 10^{-202}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq -1.65 \cdot 10^{-301}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{-103}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 4 \cdot 10^{-65}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 3400000000000:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.35 \cdot 10^{+85}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{+115}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y (* k y5)))))
   (if (<= x -2.1e+142)
     (* i (* j (* x y1)))
     (if (<= x -3.6e+67)
       (* a (* t (* y2 y5)))
       (if (<= x -30500000000000.0)
         (* y0 (* y5 (* j y3)))
         (if (<= x -1.35e-12)
           (* b (* (* x y) a))
           (if (<= x -3.8e-202)
             t_1
             (if (<= x -1.65e-301)
               (* y2 (* a (* t y5)))
               (if (<= x 2.2e-103)
                 (* b (* z (* k y0)))
                 (if (<= x 4e-65)
                   (* y2 (* t (* a y5)))
                   (if (<= x 3400000000000.0)
                     (* j (* y0 (* y3 y5)))
                     (if (<= x 1.35e+85)
                       (* j (* y1 (* x i)))
                       (if (<= x 3.6e+115)
                         t_1
                         (* j (* x (* i y1))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y * (k * y5));
	double tmp;
	if (x <= -2.1e+142) {
		tmp = i * (j * (x * y1));
	} else if (x <= -3.6e+67) {
		tmp = a * (t * (y2 * y5));
	} else if (x <= -30500000000000.0) {
		tmp = y0 * (y5 * (j * y3));
	} else if (x <= -1.35e-12) {
		tmp = b * ((x * y) * a);
	} else if (x <= -3.8e-202) {
		tmp = t_1;
	} else if (x <= -1.65e-301) {
		tmp = y2 * (a * (t * y5));
	} else if (x <= 2.2e-103) {
		tmp = b * (z * (k * y0));
	} else if (x <= 4e-65) {
		tmp = y2 * (t * (a * y5));
	} else if (x <= 3400000000000.0) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 1.35e+85) {
		tmp = j * (y1 * (x * i));
	} else if (x <= 3.6e+115) {
		tmp = t_1;
	} else {
		tmp = j * (x * (i * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (y * (k * y5))
    if (x <= (-2.1d+142)) then
        tmp = i * (j * (x * y1))
    else if (x <= (-3.6d+67)) then
        tmp = a * (t * (y2 * y5))
    else if (x <= (-30500000000000.0d0)) then
        tmp = y0 * (y5 * (j * y3))
    else if (x <= (-1.35d-12)) then
        tmp = b * ((x * y) * a)
    else if (x <= (-3.8d-202)) then
        tmp = t_1
    else if (x <= (-1.65d-301)) then
        tmp = y2 * (a * (t * y5))
    else if (x <= 2.2d-103) then
        tmp = b * (z * (k * y0))
    else if (x <= 4d-65) then
        tmp = y2 * (t * (a * y5))
    else if (x <= 3400000000000.0d0) then
        tmp = j * (y0 * (y3 * y5))
    else if (x <= 1.35d+85) then
        tmp = j * (y1 * (x * i))
    else if (x <= 3.6d+115) then
        tmp = t_1
    else
        tmp = j * (x * (i * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y * (k * y5));
	double tmp;
	if (x <= -2.1e+142) {
		tmp = i * (j * (x * y1));
	} else if (x <= -3.6e+67) {
		tmp = a * (t * (y2 * y5));
	} else if (x <= -30500000000000.0) {
		tmp = y0 * (y5 * (j * y3));
	} else if (x <= -1.35e-12) {
		tmp = b * ((x * y) * a);
	} else if (x <= -3.8e-202) {
		tmp = t_1;
	} else if (x <= -1.65e-301) {
		tmp = y2 * (a * (t * y5));
	} else if (x <= 2.2e-103) {
		tmp = b * (z * (k * y0));
	} else if (x <= 4e-65) {
		tmp = y2 * (t * (a * y5));
	} else if (x <= 3400000000000.0) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 1.35e+85) {
		tmp = j * (y1 * (x * i));
	} else if (x <= 3.6e+115) {
		tmp = t_1;
	} else {
		tmp = j * (x * (i * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (y * (k * y5))
	tmp = 0
	if x <= -2.1e+142:
		tmp = i * (j * (x * y1))
	elif x <= -3.6e+67:
		tmp = a * (t * (y2 * y5))
	elif x <= -30500000000000.0:
		tmp = y0 * (y5 * (j * y3))
	elif x <= -1.35e-12:
		tmp = b * ((x * y) * a)
	elif x <= -3.8e-202:
		tmp = t_1
	elif x <= -1.65e-301:
		tmp = y2 * (a * (t * y5))
	elif x <= 2.2e-103:
		tmp = b * (z * (k * y0))
	elif x <= 4e-65:
		tmp = y2 * (t * (a * y5))
	elif x <= 3400000000000.0:
		tmp = j * (y0 * (y3 * y5))
	elif x <= 1.35e+85:
		tmp = j * (y1 * (x * i))
	elif x <= 3.6e+115:
		tmp = t_1
	else:
		tmp = j * (x * (i * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(y * Float64(k * y5)))
	tmp = 0.0
	if (x <= -2.1e+142)
		tmp = Float64(i * Float64(j * Float64(x * y1)));
	elseif (x <= -3.6e+67)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (x <= -30500000000000.0)
		tmp = Float64(y0 * Float64(y5 * Float64(j * y3)));
	elseif (x <= -1.35e-12)
		tmp = Float64(b * Float64(Float64(x * y) * a));
	elseif (x <= -3.8e-202)
		tmp = t_1;
	elseif (x <= -1.65e-301)
		tmp = Float64(y2 * Float64(a * Float64(t * y5)));
	elseif (x <= 2.2e-103)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	elseif (x <= 4e-65)
		tmp = Float64(y2 * Float64(t * Float64(a * y5)));
	elseif (x <= 3400000000000.0)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (x <= 1.35e+85)
		tmp = Float64(j * Float64(y1 * Float64(x * i)));
	elseif (x <= 3.6e+115)
		tmp = t_1;
	else
		tmp = Float64(j * Float64(x * Float64(i * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (y * (k * y5));
	tmp = 0.0;
	if (x <= -2.1e+142)
		tmp = i * (j * (x * y1));
	elseif (x <= -3.6e+67)
		tmp = a * (t * (y2 * y5));
	elseif (x <= -30500000000000.0)
		tmp = y0 * (y5 * (j * y3));
	elseif (x <= -1.35e-12)
		tmp = b * ((x * y) * a);
	elseif (x <= -3.8e-202)
		tmp = t_1;
	elseif (x <= -1.65e-301)
		tmp = y2 * (a * (t * y5));
	elseif (x <= 2.2e-103)
		tmp = b * (z * (k * y0));
	elseif (x <= 4e-65)
		tmp = y2 * (t * (a * y5));
	elseif (x <= 3400000000000.0)
		tmp = j * (y0 * (y3 * y5));
	elseif (x <= 1.35e+85)
		tmp = j * (y1 * (x * i));
	elseif (x <= 3.6e+115)
		tmp = t_1;
	else
		tmp = j * (x * (i * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -2.1e+142], N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -3.6e+67], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -30500000000000.0], N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.35e-12], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -3.8e-202], t$95$1, If[LessEqual[x, -1.65e-301], N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.2e-103], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4e-65], N[(y2 * N[(t * N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3400000000000.0], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.35e+85], N[(j * N[(y1 * N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.6e+115], t$95$1, N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if x < -2.1e142

   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 55.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 48.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 45.6%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]

   if -2.1e142 < x < -3.5999999999999999e67

   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 y2 around inf 38.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 39.6%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 46.8%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 46.8%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if -3.5999999999999999e67 < x < -3.05e13

   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 y0 around inf 56.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 56.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 56.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 56.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 56.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 56.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 56.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 56.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 56.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 34.7%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 34.3%

      \[\leadsto y0 \cdot \left(y5 \cdot \color{blue}{\left(j \cdot y3\right)}\right) \]

   if -3.05e13 < x < -1.3499999999999999e-12

   1. Initial program 33.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 49.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 49.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 49.7%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 49.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 49.7%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 49.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 49.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 49.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 49.8%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in a around inf 66.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 66.9%

         \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

      2. *-commutative 66.9%

         \[\leadsto \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \cdot a \]

      3. associate-*l* 66.9%

         \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

   9. Simplified 66.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

   if -1.3499999999999999e-12 < x < -3.80000000000000014e-202 or 1.34999999999999992e85 < x < 3.6000000000000001e115

   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 y around inf 38.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 38.6%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 38.6%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 38.6%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 38.6%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 38.6%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 38.6%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 31.0%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in y5 around inf 25.3%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 25.2%

         \[\leadsto i \cdot \color{blue}{\left(\left(k \cdot y\right) \cdot y5\right)} \]

      2. *-commutative 25.2%

         \[\leadsto i \cdot \left(\color{blue}{\left(y \cdot k\right)} \cdot y5\right) \]

      3. associate-*l* 27.2%

         \[\leadsto i \cdot \color{blue}{\left(y \cdot \left(k \cdot y5\right)\right)} \]

   9. Simplified 27.2%

      \[\leadsto \color{blue}{i \cdot \left(y \cdot \left(k \cdot y5\right)\right)} \]

   if -3.80000000000000014e-202 < x < -1.65e-301

   1. Initial program 36.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 55.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 42.1%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 42.3%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 42.3%

         \[\leadsto y2 \cdot \left(a \cdot \color{blue}{\left(y5 \cdot t\right)}\right) \]

   7. Simplified 42.3%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot t\right)\right)} \]

   if -1.65e-301 < x < 2.1999999999999999e-103

   1. Initial program 33.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 37.1%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 37.1%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 37.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 37.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 37.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 37.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 37.1%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 32.5%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 34.8%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       2. *-commutative 34.8%

          \[\leadsto b \cdot \left(\color{blue}{\left(y0 \cdot k\right)} \cdot z\right) \]

   11. Simplified 34.8%

       \[\leadsto \color{blue}{b \cdot \left(\left(y0 \cdot k\right) \cdot z\right)} \]

   if 2.1999999999999999e-103 < x < 3.99999999999999969e-65

   1. Initial program 16.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 58.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 50.9%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 50.8%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(a \cdot y5\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 50.8%

         \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   7. Simplified 50.8%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   if 3.99999999999999969e-65 < x < 3.4e12

   1. Initial program 61.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 40.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 40.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 40.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 40.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 29.4%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 34.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 34.2%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 34.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

   9. Simplified 34.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(y5 \cdot y3\right) \cdot y0\right)} \]

   if 3.4e12 < x < 1.34999999999999992e85

   1. Initial program 61.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 39.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 39.6%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 32.1%

      \[\leadsto j \cdot \color{blue}{\left(i \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 39.5%

         \[\leadsto j \cdot \color{blue}{\left(\left(i \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 39.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(x \cdot i\right)} \cdot y1\right) \]

   7. Simplified 39.5%

      \[\leadsto j \cdot \color{blue}{\left(\left(x \cdot i\right) \cdot y1\right)} \]

   if 3.6000000000000001e115 < x

   1. Initial program 10.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 65.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 53.4%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 38.6%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]
3. Recombined 11 regimes into one program.

4. Final simplification 38.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.1 \cdot 10^{+142}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq -3.6 \cdot 10^{+67}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -30500000000000:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.35 \cdot 10^{-12}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;x \leq -3.8 \cdot 10^{-202}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -1.65 \cdot 10^{-301}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{-103}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 4 \cdot 10^{-65}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 3400000000000:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.35 \cdot 10^{+85}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 3.6 \cdot 10^{+115}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 33: 21.2% accurate, 1.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ t_2 := y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ t_3 := i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{if}\;x \leq -1.25 \cdot 10^{+145}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq -6.8 \cdot 10^{+64}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -39000000000000:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{-10}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;x \leq -2.15 \cdot 10^{-200}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;x \leq -5.8 \cdot 10^{-301}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 3.8 \cdot 10^{-103}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{-64}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{+38}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;x \leq 2 \cdot 10^{+113}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 2.45 \cdot 10^{+116}:\\ \;\;\;\;t\_3\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y2 (* a (* t y5))))
        (t_2 (* y0 (* y5 (* j y3))))
        (t_3 (* i (* y (* k y5)))))
   (if (<= x -1.25e+145)
     (* i (* j (* x y1)))
     (if (<= x -6.8e+64)
       (* a (* t (* y2 y5)))
       (if (<= x -39000000000000.0)
         t_2
         (if (<= x -1.15e-10)
           (* b (* (* x y) a))
           (if (<= x -2.15e-200)
             t_3
             (if (<= x -5.8e-301)
               t_1
               (if (<= x 3.8e-103)
                 (* b (* z (* k y0)))
                 (if (<= x 2.2e-64)
                   t_1
                   (if (<= x 1.15e+38)
                     t_2
                     (if (<= x 2e+113)
                       (* j (* y1 (* x i)))
                       (if (<= x 2.45e+116)
                         t_3
                         (* j (* x (* i y1))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * (a * (t * y5));
	double t_2 = y0 * (y5 * (j * y3));
	double t_3 = i * (y * (k * y5));
	double tmp;
	if (x <= -1.25e+145) {
		tmp = i * (j * (x * y1));
	} else if (x <= -6.8e+64) {
		tmp = a * (t * (y2 * y5));
	} else if (x <= -39000000000000.0) {
		tmp = t_2;
	} else if (x <= -1.15e-10) {
		tmp = b * ((x * y) * a);
	} else if (x <= -2.15e-200) {
		tmp = t_3;
	} else if (x <= -5.8e-301) {
		tmp = t_1;
	} else if (x <= 3.8e-103) {
		tmp = b * (z * (k * y0));
	} else if (x <= 2.2e-64) {
		tmp = t_1;
	} else if (x <= 1.15e+38) {
		tmp = t_2;
	} else if (x <= 2e+113) {
		tmp = j * (y1 * (x * i));
	} else if (x <= 2.45e+116) {
		tmp = t_3;
	} else {
		tmp = j * (x * (i * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y2 * (a * (t * y5))
    t_2 = y0 * (y5 * (j * y3))
    t_3 = i * (y * (k * y5))
    if (x <= (-1.25d+145)) then
        tmp = i * (j * (x * y1))
    else if (x <= (-6.8d+64)) then
        tmp = a * (t * (y2 * y5))
    else if (x <= (-39000000000000.0d0)) then
        tmp = t_2
    else if (x <= (-1.15d-10)) then
        tmp = b * ((x * y) * a)
    else if (x <= (-2.15d-200)) then
        tmp = t_3
    else if (x <= (-5.8d-301)) then
        tmp = t_1
    else if (x <= 3.8d-103) then
        tmp = b * (z * (k * y0))
    else if (x <= 2.2d-64) then
        tmp = t_1
    else if (x <= 1.15d+38) then
        tmp = t_2
    else if (x <= 2d+113) then
        tmp = j * (y1 * (x * i))
    else if (x <= 2.45d+116) then
        tmp = t_3
    else
        tmp = j * (x * (i * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y2 * (a * (t * y5));
	double t_2 = y0 * (y5 * (j * y3));
	double t_3 = i * (y * (k * y5));
	double tmp;
	if (x <= -1.25e+145) {
		tmp = i * (j * (x * y1));
	} else if (x <= -6.8e+64) {
		tmp = a * (t * (y2 * y5));
	} else if (x <= -39000000000000.0) {
		tmp = t_2;
	} else if (x <= -1.15e-10) {
		tmp = b * ((x * y) * a);
	} else if (x <= -2.15e-200) {
		tmp = t_3;
	} else if (x <= -5.8e-301) {
		tmp = t_1;
	} else if (x <= 3.8e-103) {
		tmp = b * (z * (k * y0));
	} else if (x <= 2.2e-64) {
		tmp = t_1;
	} else if (x <= 1.15e+38) {
		tmp = t_2;
	} else if (x <= 2e+113) {
		tmp = j * (y1 * (x * i));
	} else if (x <= 2.45e+116) {
		tmp = t_3;
	} else {
		tmp = j * (x * (i * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y2 * (a * (t * y5))
	t_2 = y0 * (y5 * (j * y3))
	t_3 = i * (y * (k * y5))
	tmp = 0
	if x <= -1.25e+145:
		tmp = i * (j * (x * y1))
	elif x <= -6.8e+64:
		tmp = a * (t * (y2 * y5))
	elif x <= -39000000000000.0:
		tmp = t_2
	elif x <= -1.15e-10:
		tmp = b * ((x * y) * a)
	elif x <= -2.15e-200:
		tmp = t_3
	elif x <= -5.8e-301:
		tmp = t_1
	elif x <= 3.8e-103:
		tmp = b * (z * (k * y0))
	elif x <= 2.2e-64:
		tmp = t_1
	elif x <= 1.15e+38:
		tmp = t_2
	elif x <= 2e+113:
		tmp = j * (y1 * (x * i))
	elif x <= 2.45e+116:
		tmp = t_3
	else:
		tmp = j * (x * (i * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y2 * Float64(a * Float64(t * y5)))
	t_2 = Float64(y0 * Float64(y5 * Float64(j * y3)))
	t_3 = Float64(i * Float64(y * Float64(k * y5)))
	tmp = 0.0
	if (x <= -1.25e+145)
		tmp = Float64(i * Float64(j * Float64(x * y1)));
	elseif (x <= -6.8e+64)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (x <= -39000000000000.0)
		tmp = t_2;
	elseif (x <= -1.15e-10)
		tmp = Float64(b * Float64(Float64(x * y) * a));
	elseif (x <= -2.15e-200)
		tmp = t_3;
	elseif (x <= -5.8e-301)
		tmp = t_1;
	elseif (x <= 3.8e-103)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	elseif (x <= 2.2e-64)
		tmp = t_1;
	elseif (x <= 1.15e+38)
		tmp = t_2;
	elseif (x <= 2e+113)
		tmp = Float64(j * Float64(y1 * Float64(x * i)));
	elseif (x <= 2.45e+116)
		tmp = t_3;
	else
		tmp = Float64(j * Float64(x * Float64(i * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y2 * (a * (t * y5));
	t_2 = y0 * (y5 * (j * y3));
	t_3 = i * (y * (k * y5));
	tmp = 0.0;
	if (x <= -1.25e+145)
		tmp = i * (j * (x * y1));
	elseif (x <= -6.8e+64)
		tmp = a * (t * (y2 * y5));
	elseif (x <= -39000000000000.0)
		tmp = t_2;
	elseif (x <= -1.15e-10)
		tmp = b * ((x * y) * a);
	elseif (x <= -2.15e-200)
		tmp = t_3;
	elseif (x <= -5.8e-301)
		tmp = t_1;
	elseif (x <= 3.8e-103)
		tmp = b * (z * (k * y0));
	elseif (x <= 2.2e-64)
		tmp = t_1;
	elseif (x <= 1.15e+38)
		tmp = t_2;
	elseif (x <= 2e+113)
		tmp = j * (y1 * (x * i));
	elseif (x <= 2.45e+116)
		tmp = t_3;
	else
		tmp = j * (x * (i * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -1.25e+145], N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -6.8e+64], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -39000000000000.0], t$95$2, If[LessEqual[x, -1.15e-10], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.15e-200], t$95$3, If[LessEqual[x, -5.8e-301], t$95$1, If[LessEqual[x, 3.8e-103], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.2e-64], t$95$1, If[LessEqual[x, 1.15e+38], t$95$2, If[LessEqual[x, 2e+113], N[(j * N[(y1 * N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.45e+116], t$95$3, N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if x < -1.24999999999999992e145

   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 55.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 48.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 45.6%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]

   if -1.24999999999999992e145 < x < -6.8000000000000003e64

   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 y2 around inf 38.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 39.6%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 46.8%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 46.8%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 46.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if -6.8000000000000003e64 < x < -3.9e13 or 2.2e-64 < x < 1.1500000000000001e38

   1. Initial program 46.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 47.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 47.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 47.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 31.5%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 31.0%

      \[\leadsto y0 \cdot \left(y5 \cdot \color{blue}{\left(j \cdot y3\right)}\right) \]

   if -3.9e13 < x < -1.15000000000000004e-10

   1. Initial program 33.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 49.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 49.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 49.7%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 49.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 49.7%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 49.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 49.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 49.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 49.8%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in a around inf 66.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 66.9%

         \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

      2. *-commutative 66.9%

         \[\leadsto \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \cdot a \]

      3. associate-*l* 66.9%

         \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

   9. Simplified 66.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

   if -1.15000000000000004e-10 < x < -2.14999999999999987e-200 or 2e113 < x < 2.4499999999999999e116

   1. Initial program 25.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 43.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 43.7%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 43.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 43.7%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 43.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 43.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 43.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 32.8%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in y5 around inf 26.2%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 26.1%

         \[\leadsto i \cdot \color{blue}{\left(\left(k \cdot y\right) \cdot y5\right)} \]

      2. *-commutative 26.1%

         \[\leadsto i \cdot \left(\color{blue}{\left(y \cdot k\right)} \cdot y5\right) \]

      3. associate-*l* 28.3%

         \[\leadsto i \cdot \color{blue}{\left(y \cdot \left(k \cdot y5\right)\right)} \]

   9. Simplified 28.3%

      \[\leadsto \color{blue}{i \cdot \left(y \cdot \left(k \cdot y5\right)\right)} \]

   if -2.14999999999999987e-200 < x < -5.79999999999999968e-301 or 3.8000000000000001e-103 < x < 2.2e-64

   1. Initial program 28.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 54.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 46.8%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 44.1%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.1%

         \[\leadsto y2 \cdot \left(a \cdot \color{blue}{\left(y5 \cdot t\right)}\right) \]

   7. Simplified 44.1%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot t\right)\right)} \]

   if -5.79999999999999968e-301 < x < 3.8000000000000001e-103

   1. Initial program 33.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 37.1%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 37.1%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 37.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 37.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 37.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 37.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 37.1%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 32.5%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 34.8%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       2. *-commutative 34.8%

          \[\leadsto b \cdot \left(\color{blue}{\left(y0 \cdot k\right)} \cdot z\right) \]

   11. Simplified 34.8%

       \[\leadsto \color{blue}{b \cdot \left(\left(y0 \cdot k\right) \cdot z\right)} \]

   if 1.1500000000000001e38 < x < 2e113

   1. Initial program 56.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 31.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 32.4%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 26.3%

      \[\leadsto j \cdot \color{blue}{\left(i \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 32.2%

         \[\leadsto j \cdot \color{blue}{\left(\left(i \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 32.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(x \cdot i\right)} \cdot y1\right) \]

   7. Simplified 32.2%

      \[\leadsto j \cdot \color{blue}{\left(\left(x \cdot i\right) \cdot y1\right)} \]

   if 2.4499999999999999e116 < x

   1. Initial program 10.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 64.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 54.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 39.6%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]
3. Recombined 9 regimes into one program.

4. Final simplification 37.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -1.25 \cdot 10^{+145}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq -6.8 \cdot 10^{+64}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -39000000000000:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{-10}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;x \leq -2.15 \cdot 10^{-200}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq -5.8 \cdot 10^{-301}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 3.8 \cdot 10^{-103}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{-64}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{+38}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{+113}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 2.45 \cdot 10^{+116}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 34: 28.6% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;c \leq -8.8 \cdot 10^{+58}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -4800000:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;c \leq -3.15 \cdot 10^{-58}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;c \leq -3.75 \cdot 10^{-100}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -7.5 \cdot 10^{-260}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 3.5 \cdot 10^{-259}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{-175}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 1.7 \cdot 10^{-170}:\\ \;\;\;\;b \cdot \left(\left(y \cdot k\right) \cdot \left(-y4\right)\right)\\ \mathbf{elif}\;c \leq 1.6 \cdot 10^{-20}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;c \leq 5.6 \cdot 10^{+42}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y0 (- (* z k) (* x j))))))
   (if (<= c -8.8e+58)
     (* c (* y0 (- (* x y2) (* z y3))))
     (if (<= c -4800000.0)
       t_1
       (if (<= c -3.15e-58)
         (* b (* t (- (* j y4) (* z a))))
         (if (<= c -3.75e-100)
           (* j (* y0 (* y3 y5)))
           (if (<= c -7.5e-260)
             (* k (* y2 (- (* y1 y4) (* y0 y5))))
             (if (<= c 3.5e-259)
               (* k (* z (- (* b y0) (* i y1))))
               (if (<= c 1.35e-175)
                 (* i (* k (- (* y y5) (* z y1))))
                 (if (<= c 1.7e-170)
                   (* b (* (* y k) (- y4)))
                   (if (<= c 1.6e-20)
                     t_1
                     (if (<= c 5.6e+42)
                       (* x (* y (- (* a b) (* c i))))
                       (* j (* x (- (* i y1) (* b y0))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y0 * ((z * k) - (x * j)));
	double tmp;
	if (c <= -8.8e+58) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (c <= -4800000.0) {
		tmp = t_1;
	} else if (c <= -3.15e-58) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (c <= -3.75e-100) {
		tmp = j * (y0 * (y3 * y5));
	} else if (c <= -7.5e-260) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (c <= 3.5e-259) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (c <= 1.35e-175) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (c <= 1.7e-170) {
		tmp = b * ((y * k) * -y4);
	} else if (c <= 1.6e-20) {
		tmp = t_1;
	} else if (c <= 5.6e+42) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else {
		tmp = j * (x * ((i * y1) - (b * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y0 * ((z * k) - (x * j)))
    if (c <= (-8.8d+58)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (c <= (-4800000.0d0)) then
        tmp = t_1
    else if (c <= (-3.15d-58)) then
        tmp = b * (t * ((j * y4) - (z * a)))
    else if (c <= (-3.75d-100)) then
        tmp = j * (y0 * (y3 * y5))
    else if (c <= (-7.5d-260)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (c <= 3.5d-259) then
        tmp = k * (z * ((b * y0) - (i * y1)))
    else if (c <= 1.35d-175) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (c <= 1.7d-170) then
        tmp = b * ((y * k) * -y4)
    else if (c <= 1.6d-20) then
        tmp = t_1
    else if (c <= 5.6d+42) then
        tmp = x * (y * ((a * b) - (c * i)))
    else
        tmp = j * (x * ((i * y1) - (b * y0)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y0 * ((z * k) - (x * j)));
	double tmp;
	if (c <= -8.8e+58) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (c <= -4800000.0) {
		tmp = t_1;
	} else if (c <= -3.15e-58) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (c <= -3.75e-100) {
		tmp = j * (y0 * (y3 * y5));
	} else if (c <= -7.5e-260) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (c <= 3.5e-259) {
		tmp = k * (z * ((b * y0) - (i * y1)));
	} else if (c <= 1.35e-175) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (c <= 1.7e-170) {
		tmp = b * ((y * k) * -y4);
	} else if (c <= 1.6e-20) {
		tmp = t_1;
	} else if (c <= 5.6e+42) {
		tmp = x * (y * ((a * b) - (c * i)));
	} else {
		tmp = j * (x * ((i * y1) - (b * y0)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y0 * ((z * k) - (x * j)))
	tmp = 0
	if c <= -8.8e+58:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif c <= -4800000.0:
		tmp = t_1
	elif c <= -3.15e-58:
		tmp = b * (t * ((j * y4) - (z * a)))
	elif c <= -3.75e-100:
		tmp = j * (y0 * (y3 * y5))
	elif c <= -7.5e-260:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif c <= 3.5e-259:
		tmp = k * (z * ((b * y0) - (i * y1)))
	elif c <= 1.35e-175:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif c <= 1.7e-170:
		tmp = b * ((y * k) * -y4)
	elif c <= 1.6e-20:
		tmp = t_1
	elif c <= 5.6e+42:
		tmp = x * (y * ((a * b) - (c * i)))
	else:
		tmp = j * (x * ((i * y1) - (b * y0)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	tmp = 0.0
	if (c <= -8.8e+58)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (c <= -4800000.0)
		tmp = t_1;
	elseif (c <= -3.15e-58)
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	elseif (c <= -3.75e-100)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (c <= -7.5e-260)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (c <= 3.5e-259)
		tmp = Float64(k * Float64(z * Float64(Float64(b * y0) - Float64(i * y1))));
	elseif (c <= 1.35e-175)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (c <= 1.7e-170)
		tmp = Float64(b * Float64(Float64(y * k) * Float64(-y4)));
	elseif (c <= 1.6e-20)
		tmp = t_1;
	elseif (c <= 5.6e+42)
		tmp = Float64(x * Float64(y * Float64(Float64(a * b) - Float64(c * i))));
	else
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y0 * ((z * k) - (x * j)));
	tmp = 0.0;
	if (c <= -8.8e+58)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (c <= -4800000.0)
		tmp = t_1;
	elseif (c <= -3.15e-58)
		tmp = b * (t * ((j * y4) - (z * a)));
	elseif (c <= -3.75e-100)
		tmp = j * (y0 * (y3 * y5));
	elseif (c <= -7.5e-260)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (c <= 3.5e-259)
		tmp = k * (z * ((b * y0) - (i * y1)));
	elseif (c <= 1.35e-175)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (c <= 1.7e-170)
		tmp = b * ((y * k) * -y4);
	elseif (c <= 1.6e-20)
		tmp = t_1;
	elseif (c <= 5.6e+42)
		tmp = x * (y * ((a * b) - (c * i)));
	else
		tmp = j * (x * ((i * y1) - (b * y0)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -8.8e+58], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -4800000.0], t$95$1, If[LessEqual[c, -3.15e-58], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -3.75e-100], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -7.5e-260], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.5e-259], N[(k * N[(z * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.35e-175], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.7e-170], N[(b * N[(N[(y * k), $MachinePrecision] * (-y4)), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.6e-20], t$95$1, If[LessEqual[c, 5.6e+42], N[(x * N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if c < -8.8000000000000003e58

   1. Initial program 22.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 50.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 50.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 50.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 50.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 50.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 50.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 50.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 50.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in c around inf 39.4%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 39.4%

         \[\leadsto c \cdot \color{blue}{\left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   8. Simplified 39.4%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   if -8.8000000000000003e58 < c < -4.8e6 or 1.70000000000000006e-170 < c < 1.59999999999999985e-20

   1. Initial program 31.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 34.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 41.9%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -4.8e6 < c < -3.14999999999999999e-58

   1. Initial program 26.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 53.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in t around inf 60.2%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 60.2%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right) \]

      2. mul-1-neg 60.2%

         \[\leadsto b \cdot \left(t \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right) \]

      3. unsub-neg 60.2%

         \[\leadsto b \cdot \left(t \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right) \]

   6. Simplified 60.2%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(j \cdot y4 - a \cdot z\right)\right)} \]

   if -3.14999999999999999e-58 < c < -3.75000000000000007e-100

   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 y0 around inf 33.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 33.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 33.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 33.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 17.8%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 67.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 67.2%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 67.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

   9. Simplified 67.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(y5 \cdot y3\right) \cdot y0\right)} \]

   if -3.75000000000000007e-100 < c < -7.5000000000000005e-260

   1. Initial program 30.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 52.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in k around inf 51.1%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if -7.5000000000000005e-260 < c < 3.5000000000000002e-259

   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 k around inf 42.1%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.1%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 42.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 42.1%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 42.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 42.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 42.1%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 42.1%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in z around inf 42.3%

      \[\leadsto \color{blue}{k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if 3.5000000000000002e-259 < c < 1.34999999999999999e-175

   1. Initial program 43.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 43.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 43.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 43.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 43.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 43.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 43.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 43.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 44.1%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 44.1%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 44.1%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 44.1%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 44.1%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if 1.34999999999999999e-175 < c < 1.70000000000000006e-170

   1. Initial program 74.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 75.4%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around 0 75.4%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(-1 \cdot \left(k \cdot y\right)\right)}\right) \]
   6. Step-by-step derivation

      1. neg-mul-1 75.4%

         \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(-k \cdot y\right)}\right) \]

      2. distribute-lft-neg-in 75.4%

         \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(\left(-k\right) \cdot y\right)}\right) \]

      3. *-commutative 75.4%

         \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(y \cdot \left(-k\right)\right)}\right) \]

   7. Simplified 75.4%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(y \cdot \left(-k\right)\right)}\right) \]

   if 1.59999999999999985e-20 < c < 5.5999999999999999e42

   1. Initial program 16.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 57.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y around inf 66.3%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]

   if 5.5999999999999999e42 < c

   1. Initial program 18.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 39.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 37.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 45.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -8.8 \cdot 10^{+58}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;c \leq -4800000:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -3.15 \cdot 10^{-58}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;c \leq -3.75 \cdot 10^{-100}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq -7.5 \cdot 10^{-260}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;c \leq 3.5 \cdot 10^{-259}:\\ \;\;\;\;k \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 1.35 \cdot 10^{-175}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 1.7 \cdot 10^{-170}:\\ \;\;\;\;b \cdot \left(\left(y \cdot k\right) \cdot \left(-y4\right)\right)\\ \mathbf{elif}\;c \leq 1.6 \cdot 10^{-20}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 5.6 \cdot 10^{+42}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 35: 27.3% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ t_2 := i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ t_3 := y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ t_4 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;y \leq -1.55 \cdot 10^{+112}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y \leq -4.2 \cdot 10^{-86}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{-150}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-124}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{-88}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{+66}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{+176}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y \leq 2.5 \cdot 10^{+232}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{+245}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 4 \cdot 10^{+259}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* z (* b (* k y0))))
        (t_2 (* i (* k (- (* y y5) (* z y1)))))
        (t_3 (* y2 (* t (* a y5))))
        (t_4 (* b (* x (- (* y a) (* j y0))))))
   (if (<= y -1.55e+112)
     t_2
     (if (<= y -4.2e-86)
       (* b (* j (- (* t y4) (* x y0))))
       (if (<= y 3.2e-150)
         (* k (* y2 (- (* y1 y4) (* y0 y5))))
         (if (<= y 3.8e-124)
           t_4
           (if (<= y 6.2e-88)
             t_1
             (if (<= y 3.8e+66)
               t_3
               (if (<= y 2.7e+176)
                 t_4
                 (if (<= y 2.5e+232)
                   t_3
                   (if (<= y 4.2e+245)
                     t_1
                     (if (<= y 4e+259) t_2 (* b (* k (* y (- y4))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * (b * (k * y0));
	double t_2 = i * (k * ((y * y5) - (z * y1)));
	double t_3 = y2 * (t * (a * y5));
	double t_4 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (y <= -1.55e+112) {
		tmp = t_2;
	} else if (y <= -4.2e-86) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y <= 3.2e-150) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 3.8e-124) {
		tmp = t_4;
	} else if (y <= 6.2e-88) {
		tmp = t_1;
	} else if (y <= 3.8e+66) {
		tmp = t_3;
	} else if (y <= 2.7e+176) {
		tmp = t_4;
	} else if (y <= 2.5e+232) {
		tmp = t_3;
	} else if (y <= 4.2e+245) {
		tmp = t_1;
	} else if (y <= 4e+259) {
		tmp = t_2;
	} else {
		tmp = b * (k * (y * -y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = z * (b * (k * y0))
    t_2 = i * (k * ((y * y5) - (z * y1)))
    t_3 = y2 * (t * (a * y5))
    t_4 = b * (x * ((y * a) - (j * y0)))
    if (y <= (-1.55d+112)) then
        tmp = t_2
    else if (y <= (-4.2d-86)) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else if (y <= 3.2d-150) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y <= 3.8d-124) then
        tmp = t_4
    else if (y <= 6.2d-88) then
        tmp = t_1
    else if (y <= 3.8d+66) then
        tmp = t_3
    else if (y <= 2.7d+176) then
        tmp = t_4
    else if (y <= 2.5d+232) then
        tmp = t_3
    else if (y <= 4.2d+245) then
        tmp = t_1
    else if (y <= 4d+259) then
        tmp = t_2
    else
        tmp = b * (k * (y * -y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * (b * (k * y0));
	double t_2 = i * (k * ((y * y5) - (z * y1)));
	double t_3 = y2 * (t * (a * y5));
	double t_4 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (y <= -1.55e+112) {
		tmp = t_2;
	} else if (y <= -4.2e-86) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else if (y <= 3.2e-150) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y <= 3.8e-124) {
		tmp = t_4;
	} else if (y <= 6.2e-88) {
		tmp = t_1;
	} else if (y <= 3.8e+66) {
		tmp = t_3;
	} else if (y <= 2.7e+176) {
		tmp = t_4;
	} else if (y <= 2.5e+232) {
		tmp = t_3;
	} else if (y <= 4.2e+245) {
		tmp = t_1;
	} else if (y <= 4e+259) {
		tmp = t_2;
	} else {
		tmp = b * (k * (y * -y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = z * (b * (k * y0))
	t_2 = i * (k * ((y * y5) - (z * y1)))
	t_3 = y2 * (t * (a * y5))
	t_4 = b * (x * ((y * a) - (j * y0)))
	tmp = 0
	if y <= -1.55e+112:
		tmp = t_2
	elif y <= -4.2e-86:
		tmp = b * (j * ((t * y4) - (x * y0)))
	elif y <= 3.2e-150:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y <= 3.8e-124:
		tmp = t_4
	elif y <= 6.2e-88:
		tmp = t_1
	elif y <= 3.8e+66:
		tmp = t_3
	elif y <= 2.7e+176:
		tmp = t_4
	elif y <= 2.5e+232:
		tmp = t_3
	elif y <= 4.2e+245:
		tmp = t_1
	elif y <= 4e+259:
		tmp = t_2
	else:
		tmp = b * (k * (y * -y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(z * Float64(b * Float64(k * y0)))
	t_2 = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))))
	t_3 = Float64(y2 * Float64(t * Float64(a * y5)))
	t_4 = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (y <= -1.55e+112)
		tmp = t_2;
	elseif (y <= -4.2e-86)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	elseif (y <= 3.2e-150)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y <= 3.8e-124)
		tmp = t_4;
	elseif (y <= 6.2e-88)
		tmp = t_1;
	elseif (y <= 3.8e+66)
		tmp = t_3;
	elseif (y <= 2.7e+176)
		tmp = t_4;
	elseif (y <= 2.5e+232)
		tmp = t_3;
	elseif (y <= 4.2e+245)
		tmp = t_1;
	elseif (y <= 4e+259)
		tmp = t_2;
	else
		tmp = Float64(b * Float64(k * Float64(y * Float64(-y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = z * (b * (k * y0));
	t_2 = i * (k * ((y * y5) - (z * y1)));
	t_3 = y2 * (t * (a * y5));
	t_4 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (y <= -1.55e+112)
		tmp = t_2;
	elseif (y <= -4.2e-86)
		tmp = b * (j * ((t * y4) - (x * y0)));
	elseif (y <= 3.2e-150)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y <= 3.8e-124)
		tmp = t_4;
	elseif (y <= 6.2e-88)
		tmp = t_1;
	elseif (y <= 3.8e+66)
		tmp = t_3;
	elseif (y <= 2.7e+176)
		tmp = t_4;
	elseif (y <= 2.5e+232)
		tmp = t_3;
	elseif (y <= 4.2e+245)
		tmp = t_1;
	elseif (y <= 4e+259)
		tmp = t_2;
	else
		tmp = b * (k * (y * -y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(z * N[(b * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y2 * N[(t * N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -1.55e+112], t$95$2, If[LessEqual[y, -4.2e-86], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.2e-150], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.8e-124], t$95$4, If[LessEqual[y, 6.2e-88], t$95$1, If[LessEqual[y, 3.8e+66], t$95$3, If[LessEqual[y, 2.7e+176], t$95$4, If[LessEqual[y, 2.5e+232], t$95$3, If[LessEqual[y, 4.2e+245], t$95$1, If[LessEqual[y, 4e+259], t$95$2, N[(b * N[(k * N[(y * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -1.54999999999999991e112 or 4.19999999999999992e245 < y < 4e259

   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 k around inf 36.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 36.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 36.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 36.2%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 36.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 36.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 36.2%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 36.2%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 57.5%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 57.5%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 57.5%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 57.5%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 57.5%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if -1.54999999999999991e112 < y < -4.2e-86

   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 b around inf 47.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 38.0%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -4.2e-86 < y < 3.1999999999999998e-150

   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 y2 around inf 44.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in k around inf 36.6%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]

   if 3.1999999999999998e-150 < y < 3.80000000000000012e-124 or 3.8000000000000002e66 < y < 2.6999999999999998e176

   1. Initial program 25.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 32.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 45.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if 3.80000000000000012e-124 < y < 6.1999999999999995e-88 or 2.49999999999999993e232 < y < 4.19999999999999992e245

   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 y0 around inf 39.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 39.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 39.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 39.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 39.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 39.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 39.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 39.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 39.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 76.9%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 76.9%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 76.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 76.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 76.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 76.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 76.9%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 64.9%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. pow1 64.9%

          \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]

   11. Applied egg-rr 64.9%

       \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]
   12. Step-by-step derivation

       1. unpow1 64.9%

          \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

       2. associate-*r* 76.9%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       3. associate-*r* 100.0%

          \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   13. Simplified 100.0%

       \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   if 6.1999999999999995e-88 < y < 3.8000000000000002e66 or 2.6999999999999998e176 < y < 2.49999999999999993e232

   1. Initial program 31.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 47.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 43.2%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 38.8%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(a \cdot y5\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 38.8%

         \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   7. Simplified 38.8%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   if 4e259 < y

   1. Initial program 15.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 31.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 30.0%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around 0 30.4%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(k \cdot \left(y \cdot y4\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 30.4%

         \[\leadsto \color{blue}{\left(-1 \cdot b\right) \cdot \left(k \cdot \left(y \cdot y4\right)\right)} \]

      2. mul-1-neg 30.4%

         \[\leadsto \color{blue}{\left(-b\right)} \cdot \left(k \cdot \left(y \cdot y4\right)\right) \]

   7. Simplified 30.4%

      \[\leadsto \color{blue}{\left(-b\right) \cdot \left(k \cdot \left(y \cdot y4\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 43.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.55 \cdot 10^{+112}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -4.2 \cdot 10^{-86}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 3.2 \cdot 10^{-150}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{-124}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 6.2 \cdot 10^{-88}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 3.8 \cdot 10^{+66}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{+176}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.5 \cdot 10^{+232}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 4.2 \cdot 10^{+245}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 4 \cdot 10^{+259}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 36: 27.2% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y0 \cdot \left(-y2 \cdot y5\right)\right)\\ t_2 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;y4 \leq -1.85 \cdot 10^{+224}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.3 \cdot 10^{+184}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -1.7 \cdot 10^{+129}:\\ \;\;\;\;\left(y2 \cdot y4\right) \cdot \left(k \cdot y1\right)\\ \mathbf{elif}\;y4 \leq -3.1 \cdot 10^{-100}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y4 \leq -9 \cdot 10^{-124}:\\ \;\;\;\;i \cdot \left(k \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -5 \cdot 10^{-158}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq -1.12 \cdot 10^{-187}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.2 \cdot 10^{-76}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 6.6 \cdot 10^{-40}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 8.4 \cdot 10^{+46}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(j \cdot \left(-y4\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y0 (- (* y2 y5)))))
        (t_2 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= y4 -1.85e+224)
     (* b (* y4 (- (* t j) (* y k))))
     (if (<= y4 -2.3e+184)
       t_1
       (if (<= y4 -1.7e+129)
         (* (* y2 y4) (* k y1))
         (if (<= y4 -3.1e-100)
           t_2
           (if (<= y4 -9e-124)
             (* i (* k (* z (- y1))))
             (if (<= y4 -5e-158)
               (* b (* k (* z y0)))
               (if (<= y4 -1.12e-187)
                 (* c (* y (* i (- x))))
                 (if (<= y4 1.2e-76)
                   (* b (* y0 (- (* z k) (* x j))))
                   (if (<= y4 6.6e-40)
                     t_1
                     (if (<= y4 8.4e+46)
                       t_2
                       (* y1 (* y3 (* j (- y4))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y0 * -(y2 * y5));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y4 <= -1.85e+224) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y4 <= -2.3e+184) {
		tmp = t_1;
	} else if (y4 <= -1.7e+129) {
		tmp = (y2 * y4) * (k * y1);
	} else if (y4 <= -3.1e-100) {
		tmp = t_2;
	} else if (y4 <= -9e-124) {
		tmp = i * (k * (z * -y1));
	} else if (y4 <= -5e-158) {
		tmp = b * (k * (z * y0));
	} else if (y4 <= -1.12e-187) {
		tmp = c * (y * (i * -x));
	} else if (y4 <= 1.2e-76) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y4 <= 6.6e-40) {
		tmp = t_1;
	} else if (y4 <= 8.4e+46) {
		tmp = t_2;
	} else {
		tmp = y1 * (y3 * (j * -y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = k * (y0 * -(y2 * y5))
    t_2 = b * (j * ((t * y4) - (x * y0)))
    if (y4 <= (-1.85d+224)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y4 <= (-2.3d+184)) then
        tmp = t_1
    else if (y4 <= (-1.7d+129)) then
        tmp = (y2 * y4) * (k * y1)
    else if (y4 <= (-3.1d-100)) then
        tmp = t_2
    else if (y4 <= (-9d-124)) then
        tmp = i * (k * (z * -y1))
    else if (y4 <= (-5d-158)) then
        tmp = b * (k * (z * y0))
    else if (y4 <= (-1.12d-187)) then
        tmp = c * (y * (i * -x))
    else if (y4 <= 1.2d-76) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y4 <= 6.6d-40) then
        tmp = t_1
    else if (y4 <= 8.4d+46) then
        tmp = t_2
    else
        tmp = y1 * (y3 * (j * -y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y0 * -(y2 * y5));
	double t_2 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y4 <= -1.85e+224) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y4 <= -2.3e+184) {
		tmp = t_1;
	} else if (y4 <= -1.7e+129) {
		tmp = (y2 * y4) * (k * y1);
	} else if (y4 <= -3.1e-100) {
		tmp = t_2;
	} else if (y4 <= -9e-124) {
		tmp = i * (k * (z * -y1));
	} else if (y4 <= -5e-158) {
		tmp = b * (k * (z * y0));
	} else if (y4 <= -1.12e-187) {
		tmp = c * (y * (i * -x));
	} else if (y4 <= 1.2e-76) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y4 <= 6.6e-40) {
		tmp = t_1;
	} else if (y4 <= 8.4e+46) {
		tmp = t_2;
	} else {
		tmp = y1 * (y3 * (j * -y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (y0 * -(y2 * y5))
	t_2 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if y4 <= -1.85e+224:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y4 <= -2.3e+184:
		tmp = t_1
	elif y4 <= -1.7e+129:
		tmp = (y2 * y4) * (k * y1)
	elif y4 <= -3.1e-100:
		tmp = t_2
	elif y4 <= -9e-124:
		tmp = i * (k * (z * -y1))
	elif y4 <= -5e-158:
		tmp = b * (k * (z * y0))
	elif y4 <= -1.12e-187:
		tmp = c * (y * (i * -x))
	elif y4 <= 1.2e-76:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y4 <= 6.6e-40:
		tmp = t_1
	elif y4 <= 8.4e+46:
		tmp = t_2
	else:
		tmp = y1 * (y3 * (j * -y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(k * Float64(y0 * Float64(-Float64(y2 * y5))))
	t_2 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (y4 <= -1.85e+224)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y4 <= -2.3e+184)
		tmp = t_1;
	elseif (y4 <= -1.7e+129)
		tmp = Float64(Float64(y2 * y4) * Float64(k * y1));
	elseif (y4 <= -3.1e-100)
		tmp = t_2;
	elseif (y4 <= -9e-124)
		tmp = Float64(i * Float64(k * Float64(z * Float64(-y1))));
	elseif (y4 <= -5e-158)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (y4 <= -1.12e-187)
		tmp = Float64(c * Float64(y * Float64(i * Float64(-x))));
	elseif (y4 <= 1.2e-76)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y4 <= 6.6e-40)
		tmp = t_1;
	elseif (y4 <= 8.4e+46)
		tmp = t_2;
	else
		tmp = Float64(y1 * Float64(y3 * Float64(j * Float64(-y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = k * (y0 * -(y2 * y5));
	t_2 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (y4 <= -1.85e+224)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y4 <= -2.3e+184)
		tmp = t_1;
	elseif (y4 <= -1.7e+129)
		tmp = (y2 * y4) * (k * y1);
	elseif (y4 <= -3.1e-100)
		tmp = t_2;
	elseif (y4 <= -9e-124)
		tmp = i * (k * (z * -y1));
	elseif (y4 <= -5e-158)
		tmp = b * (k * (z * y0));
	elseif (y4 <= -1.12e-187)
		tmp = c * (y * (i * -x));
	elseif (y4 <= 1.2e-76)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y4 <= 6.6e-40)
		tmp = t_1;
	elseif (y4 <= 8.4e+46)
		tmp = t_2;
	else
		tmp = y1 * (y3 * (j * -y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(y0 * (-N[(y2 * y5), $MachinePrecision])), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -1.85e+224], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.3e+184], t$95$1, If[LessEqual[y4, -1.7e+129], N[(N[(y2 * y4), $MachinePrecision] * N[(k * y1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.1e-100], t$95$2, If[LessEqual[y4, -9e-124], N[(i * N[(k * N[(z * (-y1)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -5e-158], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.12e-187], N[(c * N[(y * N[(i * (-x)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.2e-76], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 6.6e-40], t$95$1, If[LessEqual[y4, 8.4e+46], t$95$2, N[(y1 * N[(y3 * N[(j * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -1.85000000000000002e224

   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 b around inf 55.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 56.0%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -1.85000000000000002e224 < y4 < -2.3e184 or 1.20000000000000007e-76 < y4 < 6.59999999999999986e-40

   1. Initial program 38.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 38.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 43.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around 0 47.3%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 47.3%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. neg-mul-1 47.3%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right) \]

      3. *-commutative 47.3%

         \[\leadsto \left(-k\right) \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot y0\right)} \]

      4. *-commutative 47.3%

         \[\leadsto \left(-k\right) \cdot \left(\color{blue}{\left(y5 \cdot y2\right)} \cdot y0\right) \]

   9. Simplified 47.3%

      \[\leadsto \color{blue}{\left(-k\right) \cdot \left(\left(y5 \cdot y2\right) \cdot y0\right)} \]

   if -2.3e184 < y4 < -1.70000000000000009e129

   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 y2 around inf 38.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y1 around inf 76.3%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 76.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 76.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 76.3%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 76.3%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 50.9%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 50.9%

         \[\leadsto \color{blue}{\left(k \cdot y1\right) \cdot \left(y2 \cdot y4\right)} \]

      2. *-commutative 50.9%

         \[\leadsto \left(k \cdot y1\right) \cdot \color{blue}{\left(y4 \cdot y2\right)} \]

   9. Simplified 50.9%

      \[\leadsto \color{blue}{\left(k \cdot y1\right) \cdot \left(y4 \cdot y2\right)} \]

   if -1.70000000000000009e129 < y4 < -3.0999999999999999e-100 or 6.59999999999999986e-40 < y4 < 8.4e46

   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 b around inf 38.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 36.0%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -3.0999999999999999e-100 < y4 < -8.9999999999999992e-124

   1. Initial program 37.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 50.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 50.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 50.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 50.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 50.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 50.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 50.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 27.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around 0 39.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 39.9%

         \[\leadsto \color{blue}{\left(-1 \cdot i\right) \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. neg-mul-1 39.9%

         \[\leadsto \color{blue}{\left(-i\right)} \cdot \left(k \cdot \left(y1 \cdot z\right)\right) \]

      3. *-commutative 39.9%

         \[\leadsto \left(-i\right) \cdot \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \]

   9. Simplified 39.9%

      \[\leadsto \color{blue}{\left(-i\right) \cdot \left(k \cdot \left(z \cdot y1\right)\right)} \]

   if -8.9999999999999992e-124 < y4 < -4.99999999999999972e-158

   1. Initial program 15.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 58.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 58.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 58.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 58.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 58.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 58.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 58.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 58.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 58.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 72.2%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 72.2%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 72.2%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 72.2%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 72.2%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 72.2%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 72.2%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 57.8%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if -4.99999999999999972e-158 < y4 < -1.12e-187

   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 y around inf 66.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 66.9%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 66.9%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 66.9%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 66.9%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 66.9%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 66.9%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 66.9%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 58.6%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in c around inf 59.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 59.6%

         \[\leadsto \color{blue}{-c \cdot \left(i \cdot \left(x \cdot y\right)\right)} \]

      2. distribute-rgt-neg-in 59.6%

         \[\leadsto \color{blue}{c \cdot \left(-i \cdot \left(x \cdot y\right)\right)} \]

      3. associate-*r* 59.6%

         \[\leadsto c \cdot \left(-\color{blue}{\left(i \cdot x\right) \cdot y}\right) \]

      4. distribute-lft-neg-in 59.6%

         \[\leadsto c \cdot \color{blue}{\left(\left(-i \cdot x\right) \cdot y\right)} \]

      5. *-commutative 59.6%

         \[\leadsto c \cdot \left(\left(-\color{blue}{x \cdot i}\right) \cdot y\right) \]

      6. distribute-rgt-neg-in 59.6%

         \[\leadsto c \cdot \left(\color{blue}{\left(x \cdot \left(-i\right)\right)} \cdot y\right) \]

   9. Simplified 59.6%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot \left(-i\right)\right) \cdot y\right)} \]

   if -1.12e-187 < y4 < 1.20000000000000007e-76

   1. Initial program 40.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 36.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 34.5%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if 8.4e46 < y4

   1. Initial program 17.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 39.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y1 around inf 48.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 48.5%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right)\right) \]

      2. mul-1-neg 48.5%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right)\right) \]

      3. unsub-neg 48.5%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right)\right) \]

   6. Simplified 48.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 - a \cdot z\right)\right)\right)} \]

   7. Taylor expanded in j around inf 45.1%

      \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4\right)}\right)\right) \]
3. Recombined 9 regimes into one program.

4. Final simplification 42.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -1.85 \cdot 10^{+224}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.3 \cdot 10^{+184}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(-y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq -1.7 \cdot 10^{+129}:\\ \;\;\;\;\left(y2 \cdot y4\right) \cdot \left(k \cdot y1\right)\\ \mathbf{elif}\;y4 \leq -3.1 \cdot 10^{-100}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq -9 \cdot 10^{-124}:\\ \;\;\;\;i \cdot \left(k \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -5 \cdot 10^{-158}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq -1.12 \cdot 10^{-187}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 1.2 \cdot 10^{-76}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 6.6 \cdot 10^{-40}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(-y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 8.4 \cdot 10^{+46}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(j \cdot \left(-y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 37: 22.6% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{if}\;x \leq -8.2 \cdot 10^{-12}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq -1.3 \cdot 10^{-46}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -3.5 \cdot 10^{-52}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{-159}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{-103}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{-65}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6.4 \cdot 10^{+35}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2.1 \cdot 10^{+114}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{+116}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{+187}:\\ \;\;\;\;\left(-b\right) \cdot \left(y0 \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* a (* x b)))))
   (if (<= x -8.2e-12)
     t_1
     (if (<= x -1.3e-46)
       (* y0 (* y5 (* j y3)))
       (if (<= x -3.5e-52)
         (* b (* y4 (* t j)))
         (if (<= x -1.15e-159)
           (* y2 (* a (* t y5)))
           (if (<= x 1.55e-103)
             (* z (* b (* k y0)))
             (if (<= x 4.2e-65)
               (* y2 (* t (* a y5)))
               (if (<= x 6.4e+35)
                 (* j (* y0 (* y3 y5)))
                 (if (<= x 2.1e+114)
                   t_1
                   (if (<= x 2.2e+116)
                     (* i (* y (* k y5)))
                     (if (<= x 5.8e+187)
                       (* (- b) (* y0 (* x j)))
                       (* j (* x (* i y1)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (a * (x * b));
	double tmp;
	if (x <= -8.2e-12) {
		tmp = t_1;
	} else if (x <= -1.3e-46) {
		tmp = y0 * (y5 * (j * y3));
	} else if (x <= -3.5e-52) {
		tmp = b * (y4 * (t * j));
	} else if (x <= -1.15e-159) {
		tmp = y2 * (a * (t * y5));
	} else if (x <= 1.55e-103) {
		tmp = z * (b * (k * y0));
	} else if (x <= 4.2e-65) {
		tmp = y2 * (t * (a * y5));
	} else if (x <= 6.4e+35) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 2.1e+114) {
		tmp = t_1;
	} else if (x <= 2.2e+116) {
		tmp = i * (y * (k * y5));
	} else if (x <= 5.8e+187) {
		tmp = -b * (y0 * (x * j));
	} else {
		tmp = j * (x * (i * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y * (a * (x * b))
    if (x <= (-8.2d-12)) then
        tmp = t_1
    else if (x <= (-1.3d-46)) then
        tmp = y0 * (y5 * (j * y3))
    else if (x <= (-3.5d-52)) then
        tmp = b * (y4 * (t * j))
    else if (x <= (-1.15d-159)) then
        tmp = y2 * (a * (t * y5))
    else if (x <= 1.55d-103) then
        tmp = z * (b * (k * y0))
    else if (x <= 4.2d-65) then
        tmp = y2 * (t * (a * y5))
    else if (x <= 6.4d+35) then
        tmp = j * (y0 * (y3 * y5))
    else if (x <= 2.1d+114) then
        tmp = t_1
    else if (x <= 2.2d+116) then
        tmp = i * (y * (k * y5))
    else if (x <= 5.8d+187) then
        tmp = -b * (y0 * (x * j))
    else
        tmp = j * (x * (i * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (a * (x * b));
	double tmp;
	if (x <= -8.2e-12) {
		tmp = t_1;
	} else if (x <= -1.3e-46) {
		tmp = y0 * (y5 * (j * y3));
	} else if (x <= -3.5e-52) {
		tmp = b * (y4 * (t * j));
	} else if (x <= -1.15e-159) {
		tmp = y2 * (a * (t * y5));
	} else if (x <= 1.55e-103) {
		tmp = z * (b * (k * y0));
	} else if (x <= 4.2e-65) {
		tmp = y2 * (t * (a * y5));
	} else if (x <= 6.4e+35) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 2.1e+114) {
		tmp = t_1;
	} else if (x <= 2.2e+116) {
		tmp = i * (y * (k * y5));
	} else if (x <= 5.8e+187) {
		tmp = -b * (y0 * (x * j));
	} else {
		tmp = j * (x * (i * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (a * (x * b))
	tmp = 0
	if x <= -8.2e-12:
		tmp = t_1
	elif x <= -1.3e-46:
		tmp = y0 * (y5 * (j * y3))
	elif x <= -3.5e-52:
		tmp = b * (y4 * (t * j))
	elif x <= -1.15e-159:
		tmp = y2 * (a * (t * y5))
	elif x <= 1.55e-103:
		tmp = z * (b * (k * y0))
	elif x <= 4.2e-65:
		tmp = y2 * (t * (a * y5))
	elif x <= 6.4e+35:
		tmp = j * (y0 * (y3 * y5))
	elif x <= 2.1e+114:
		tmp = t_1
	elif x <= 2.2e+116:
		tmp = i * (y * (k * y5))
	elif x <= 5.8e+187:
		tmp = -b * (y0 * (x * j))
	else:
		tmp = j * (x * (i * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(a * Float64(x * b)))
	tmp = 0.0
	if (x <= -8.2e-12)
		tmp = t_1;
	elseif (x <= -1.3e-46)
		tmp = Float64(y0 * Float64(y5 * Float64(j * y3)));
	elseif (x <= -3.5e-52)
		tmp = Float64(b * Float64(y4 * Float64(t * j)));
	elseif (x <= -1.15e-159)
		tmp = Float64(y2 * Float64(a * Float64(t * y5)));
	elseif (x <= 1.55e-103)
		tmp = Float64(z * Float64(b * Float64(k * y0)));
	elseif (x <= 4.2e-65)
		tmp = Float64(y2 * Float64(t * Float64(a * y5)));
	elseif (x <= 6.4e+35)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (x <= 2.1e+114)
		tmp = t_1;
	elseif (x <= 2.2e+116)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	elseif (x <= 5.8e+187)
		tmp = Float64(Float64(-b) * Float64(y0 * Float64(x * j)));
	else
		tmp = Float64(j * Float64(x * Float64(i * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (a * (x * b));
	tmp = 0.0;
	if (x <= -8.2e-12)
		tmp = t_1;
	elseif (x <= -1.3e-46)
		tmp = y0 * (y5 * (j * y3));
	elseif (x <= -3.5e-52)
		tmp = b * (y4 * (t * j));
	elseif (x <= -1.15e-159)
		tmp = y2 * (a * (t * y5));
	elseif (x <= 1.55e-103)
		tmp = z * (b * (k * y0));
	elseif (x <= 4.2e-65)
		tmp = y2 * (t * (a * y5));
	elseif (x <= 6.4e+35)
		tmp = j * (y0 * (y3 * y5));
	elseif (x <= 2.1e+114)
		tmp = t_1;
	elseif (x <= 2.2e+116)
		tmp = i * (y * (k * y5));
	elseif (x <= 5.8e+187)
		tmp = -b * (y0 * (x * j));
	else
		tmp = j * (x * (i * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -8.2e-12], t$95$1, If[LessEqual[x, -1.3e-46], N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -3.5e-52], N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.15e-159], N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.55e-103], N[(z * N[(b * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.2e-65], N[(y2 * N[(t * N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.4e+35], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.1e+114], t$95$1, If[LessEqual[x, 2.2e+116], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.8e+187], N[((-b) * N[(y0 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if x < -8.19999999999999979e-12 or 6.39999999999999965e35 < x < 2.1e114

   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 47.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 42.8%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 42.8%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 42.8%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 42.8%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 42.8%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 28.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 28.8%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

      2. associate-*r* 33.9%

         \[\leadsto {\left(a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)}\right)}^{1} \]

   9. Applied egg-rr 33.9%

      \[\leadsto \color{blue}{{\left(a \cdot \left(\left(b \cdot x\right) \cdot y\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 33.9%

          \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]

       2. associate-*r* 37.5%

          \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot x\right)\right) \cdot y} \]

   11. Simplified 37.5%

       \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot x\right)\right) \cdot y} \]

   if -8.19999999999999979e-12 < x < -1.3000000000000001e-46

   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 y0 around inf 74.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 74.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 74.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 74.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 87.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 53.9%

      \[\leadsto y0 \cdot \left(y5 \cdot \color{blue}{\left(j \cdot y3\right)}\right) \]

   if -1.3000000000000001e-46 < x < -3.5e-52

   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 b around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 100.0%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(j \cdot t\right)}\right) \]

   if -3.5e-52 < x < -1.14999999999999989e-159

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 38.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 22.3%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 21.9%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 21.9%

         \[\leadsto y2 \cdot \left(a \cdot \color{blue}{\left(y5 \cdot t\right)}\right) \]

   7. Simplified 21.9%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot t\right)\right)} \]

   if -1.14999999999999989e-159 < x < 1.5500000000000001e-103

   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 y0 around inf 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 37.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 37.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 30.6%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 27.9%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 27.9%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 26.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. pow1 26.7%

          \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]

   11. Applied egg-rr 26.7%

       \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]
   12. Step-by-step derivation

       1. unpow1 26.7%

          \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

       2. associate-*r* 29.4%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       3. associate-*r* 31.9%

          \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   13. Simplified 31.9%

       \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   if 1.5500000000000001e-103 < x < 4.20000000000000006e-65

   1. Initial program 16.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 58.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 50.9%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 50.8%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(a \cdot y5\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 50.8%

         \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   7. Simplified 50.8%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   if 4.20000000000000006e-65 < x < 6.39999999999999965e35

   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 y0 around inf 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 30.1%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 34.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 34.2%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 34.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

   9. Simplified 34.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(y5 \cdot y3\right) \cdot y0\right)} \]

   if 2.1e114 < x < 2.2e116

   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 y around inf 66.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 66.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 66.7%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 66.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 66.7%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 66.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 66.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 66.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 66.8%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in y5 around inf 67.7%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 67.7%

         \[\leadsto i \cdot \color{blue}{\left(\left(k \cdot y\right) \cdot y5\right)} \]

      2. *-commutative 67.7%

         \[\leadsto i \cdot \left(\color{blue}{\left(y \cdot k\right)} \cdot y5\right) \]

      3. associate-*l* 67.7%

         \[\leadsto i \cdot \color{blue}{\left(y \cdot \left(k \cdot y5\right)\right)} \]

   9. Simplified 67.7%

      \[\leadsto \color{blue}{i \cdot \left(y \cdot \left(k \cdot y5\right)\right)} \]

   if 2.2e116 < x < 5.8000000000000002e187

   1. Initial program 6.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 57.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 51.6%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around 0 45.1%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(j \cdot \left(x \cdot y0\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 45.1%

         \[\leadsto \color{blue}{-b \cdot \left(j \cdot \left(x \cdot y0\right)\right)} \]

      2. distribute-rgt-neg-in 45.1%

         \[\leadsto \color{blue}{b \cdot \left(-j \cdot \left(x \cdot y0\right)\right)} \]

      3. associate-*r* 50.8%

         \[\leadsto b \cdot \left(-\color{blue}{\left(j \cdot x\right) \cdot y0}\right) \]

      4. distribute-rgt-neg-in 50.8%

         \[\leadsto b \cdot \color{blue}{\left(\left(j \cdot x\right) \cdot \left(-y0\right)\right)} \]

      5. *-commutative 50.8%

         \[\leadsto b \cdot \left(\color{blue}{\left(x \cdot j\right)} \cdot \left(-y0\right)\right) \]

   7. Simplified 50.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(x \cdot j\right) \cdot \left(-y0\right)\right)} \]

   if 5.8000000000000002e187 < x

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 70.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 57.0%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 48.6%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]
3. Recombined 10 regimes into one program.

4. Final simplification 37.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -8.2 \cdot 10^{-12}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq -1.3 \cdot 10^{-46}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -3.5 \cdot 10^{-52}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{-159}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.55 \cdot 10^{-103}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 4.2 \cdot 10^{-65}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6.4 \cdot 10^{+35}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2.1 \cdot 10^{+114}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{+116}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 5.8 \cdot 10^{+187}:\\ \;\;\;\;\left(-b\right) \cdot \left(y0 \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 38: 22.0% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{if}\;x \leq -8.2 \cdot 10^{-13}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq -1.65 \cdot 10^{-46}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -2.2 \cdot 10^{-52}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-160}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-103}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{-65}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 3900000000000:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 5.4 \cdot 10^{+85}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{+92}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{+116}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* a (* x b)))))
   (if (<= x -8.2e-13)
     t_1
     (if (<= x -1.65e-46)
       (* y0 (* y5 (* j y3)))
       (if (<= x -2.2e-52)
         (* b (* y4 (* t j)))
         (if (<= x -4.5e-160)
           (* y2 (* a (* t y5)))
           (if (<= x 1.25e-103)
             (* b (* z (* k y0)))
             (if (<= x 4.5e-65)
               (* y2 (* t (* a y5)))
               (if (<= x 3900000000000.0)
                 (* j (* y0 (* y3 y5)))
                 (if (<= x 5.4e+85)
                   (* j (* y1 (* x i)))
                   (if (<= x 1.1e+92)
                     t_1
                     (if (<= x 2.2e+116)
                       (* i (* y (* k y5)))
                       (* j (* x (* i y1)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (a * (x * b));
	double tmp;
	if (x <= -8.2e-13) {
		tmp = t_1;
	} else if (x <= -1.65e-46) {
		tmp = y0 * (y5 * (j * y3));
	} else if (x <= -2.2e-52) {
		tmp = b * (y4 * (t * j));
	} else if (x <= -4.5e-160) {
		tmp = y2 * (a * (t * y5));
	} else if (x <= 1.25e-103) {
		tmp = b * (z * (k * y0));
	} else if (x <= 4.5e-65) {
		tmp = y2 * (t * (a * y5));
	} else if (x <= 3900000000000.0) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 5.4e+85) {
		tmp = j * (y1 * (x * i));
	} else if (x <= 1.1e+92) {
		tmp = t_1;
	} else if (x <= 2.2e+116) {
		tmp = i * (y * (k * y5));
	} else {
		tmp = j * (x * (i * y1));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y * (a * (x * b))
    if (x <= (-8.2d-13)) then
        tmp = t_1
    else if (x <= (-1.65d-46)) then
        tmp = y0 * (y5 * (j * y3))
    else if (x <= (-2.2d-52)) then
        tmp = b * (y4 * (t * j))
    else if (x <= (-4.5d-160)) then
        tmp = y2 * (a * (t * y5))
    else if (x <= 1.25d-103) then
        tmp = b * (z * (k * y0))
    else if (x <= 4.5d-65) then
        tmp = y2 * (t * (a * y5))
    else if (x <= 3900000000000.0d0) then
        tmp = j * (y0 * (y3 * y5))
    else if (x <= 5.4d+85) then
        tmp = j * (y1 * (x * i))
    else if (x <= 1.1d+92) then
        tmp = t_1
    else if (x <= 2.2d+116) then
        tmp = i * (y * (k * y5))
    else
        tmp = j * (x * (i * y1))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (a * (x * b));
	double tmp;
	if (x <= -8.2e-13) {
		tmp = t_1;
	} else if (x <= -1.65e-46) {
		tmp = y0 * (y5 * (j * y3));
	} else if (x <= -2.2e-52) {
		tmp = b * (y4 * (t * j));
	} else if (x <= -4.5e-160) {
		tmp = y2 * (a * (t * y5));
	} else if (x <= 1.25e-103) {
		tmp = b * (z * (k * y0));
	} else if (x <= 4.5e-65) {
		tmp = y2 * (t * (a * y5));
	} else if (x <= 3900000000000.0) {
		tmp = j * (y0 * (y3 * y5));
	} else if (x <= 5.4e+85) {
		tmp = j * (y1 * (x * i));
	} else if (x <= 1.1e+92) {
		tmp = t_1;
	} else if (x <= 2.2e+116) {
		tmp = i * (y * (k * y5));
	} else {
		tmp = j * (x * (i * y1));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (a * (x * b))
	tmp = 0
	if x <= -8.2e-13:
		tmp = t_1
	elif x <= -1.65e-46:
		tmp = y0 * (y5 * (j * y3))
	elif x <= -2.2e-52:
		tmp = b * (y4 * (t * j))
	elif x <= -4.5e-160:
		tmp = y2 * (a * (t * y5))
	elif x <= 1.25e-103:
		tmp = b * (z * (k * y0))
	elif x <= 4.5e-65:
		tmp = y2 * (t * (a * y5))
	elif x <= 3900000000000.0:
		tmp = j * (y0 * (y3 * y5))
	elif x <= 5.4e+85:
		tmp = j * (y1 * (x * i))
	elif x <= 1.1e+92:
		tmp = t_1
	elif x <= 2.2e+116:
		tmp = i * (y * (k * y5))
	else:
		tmp = j * (x * (i * y1))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(a * Float64(x * b)))
	tmp = 0.0
	if (x <= -8.2e-13)
		tmp = t_1;
	elseif (x <= -1.65e-46)
		tmp = Float64(y0 * Float64(y5 * Float64(j * y3)));
	elseif (x <= -2.2e-52)
		tmp = Float64(b * Float64(y4 * Float64(t * j)));
	elseif (x <= -4.5e-160)
		tmp = Float64(y2 * Float64(a * Float64(t * y5)));
	elseif (x <= 1.25e-103)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	elseif (x <= 4.5e-65)
		tmp = Float64(y2 * Float64(t * Float64(a * y5)));
	elseif (x <= 3900000000000.0)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	elseif (x <= 5.4e+85)
		tmp = Float64(j * Float64(y1 * Float64(x * i)));
	elseif (x <= 1.1e+92)
		tmp = t_1;
	elseif (x <= 2.2e+116)
		tmp = Float64(i * Float64(y * Float64(k * y5)));
	else
		tmp = Float64(j * Float64(x * Float64(i * y1)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (a * (x * b));
	tmp = 0.0;
	if (x <= -8.2e-13)
		tmp = t_1;
	elseif (x <= -1.65e-46)
		tmp = y0 * (y5 * (j * y3));
	elseif (x <= -2.2e-52)
		tmp = b * (y4 * (t * j));
	elseif (x <= -4.5e-160)
		tmp = y2 * (a * (t * y5));
	elseif (x <= 1.25e-103)
		tmp = b * (z * (k * y0));
	elseif (x <= 4.5e-65)
		tmp = y2 * (t * (a * y5));
	elseif (x <= 3900000000000.0)
		tmp = j * (y0 * (y3 * y5));
	elseif (x <= 5.4e+85)
		tmp = j * (y1 * (x * i));
	elseif (x <= 1.1e+92)
		tmp = t_1;
	elseif (x <= 2.2e+116)
		tmp = i * (y * (k * y5));
	else
		tmp = j * (x * (i * y1));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(a * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -8.2e-13], t$95$1, If[LessEqual[x, -1.65e-46], N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.2e-52], N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -4.5e-160], N[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.25e-103], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 4.5e-65], N[(y2 * N[(t * N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3900000000000.0], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 5.4e+85], N[(j * N[(y1 * N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.1e+92], t$95$1, If[LessEqual[x, 2.2e+116], N[(i * N[(y * N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if x < -8.2000000000000004e-13 or 5.39999999999999966e85 < x < 1.09999999999999996e92

   1. Initial program 17.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 50.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 44.3%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 44.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 44.3%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 44.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 44.3%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 30.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. pow1 30.2%

         \[\leadsto \color{blue}{{\left(a \cdot \left(b \cdot \left(x \cdot y\right)\right)\right)}^{1}} \]

      2. associate-*r* 36.4%

         \[\leadsto {\left(a \cdot \color{blue}{\left(\left(b \cdot x\right) \cdot y\right)}\right)}^{1} \]

   9. Applied egg-rr 36.4%

      \[\leadsto \color{blue}{{\left(a \cdot \left(\left(b \cdot x\right) \cdot y\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 36.4%

          \[\leadsto \color{blue}{a \cdot \left(\left(b \cdot x\right) \cdot y\right)} \]

       2. associate-*r* 40.9%

          \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot x\right)\right) \cdot y} \]

   11. Simplified 40.9%

       \[\leadsto \color{blue}{\left(a \cdot \left(b \cdot x\right)\right) \cdot y} \]

   if -8.2000000000000004e-13 < x < -1.65000000000000007e-46

   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 y0 around inf 74.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 74.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 74.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 74.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 74.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 87.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 53.9%

      \[\leadsto y0 \cdot \left(y5 \cdot \color{blue}{\left(j \cdot y3\right)}\right) \]

   if -1.65000000000000007e-46 < x < -2.20000000000000009e-52

   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 b around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 100.0%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(j \cdot t\right)}\right) \]

   if -2.20000000000000009e-52 < x < -4.50000000000000026e-160

   1. Initial program 33.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 38.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 22.3%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 21.9%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 21.9%

         \[\leadsto y2 \cdot \left(a \cdot \color{blue}{\left(y5 \cdot t\right)}\right) \]

   7. Simplified 21.9%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot t\right)\right)} \]

   if -4.50000000000000026e-160 < x < 1.24999999999999992e-103

   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 y0 around inf 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 37.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 37.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 37.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 37.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 30.6%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 27.9%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 27.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 27.9%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 26.7%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 29.4%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       2. *-commutative 29.4%

          \[\leadsto b \cdot \left(\color{blue}{\left(y0 \cdot k\right)} \cdot z\right) \]

   11. Simplified 29.4%

       \[\leadsto \color{blue}{b \cdot \left(\left(y0 \cdot k\right) \cdot z\right)} \]

   if 1.24999999999999992e-103 < x < 4.4999999999999998e-65

   1. Initial program 16.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 58.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 50.9%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 50.8%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(a \cdot y5\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 50.8%

         \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   7. Simplified 50.8%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   if 4.4999999999999998e-65 < x < 3.9e12

   1. Initial program 61.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 40.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 40.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 40.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 40.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 40.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 40.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 29.4%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 34.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 34.2%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 34.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

   9. Simplified 34.2%

      \[\leadsto \color{blue}{j \cdot \left(\left(y5 \cdot y3\right) \cdot y0\right)} \]

   if 3.9e12 < x < 5.39999999999999966e85

   1. Initial program 61.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 39.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 39.6%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 32.1%

      \[\leadsto j \cdot \color{blue}{\left(i \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 39.5%

         \[\leadsto j \cdot \color{blue}{\left(\left(i \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 39.5%

         \[\leadsto j \cdot \left(\color{blue}{\left(x \cdot i\right)} \cdot y1\right) \]

   7. Simplified 39.5%

      \[\leadsto j \cdot \color{blue}{\left(\left(x \cdot i\right) \cdot y1\right)} \]

   if 1.09999999999999996e92 < x < 2.2e116

   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 29.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 29.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 29.2%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 29.2%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 29.2%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 29.2%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 29.2%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 29.2%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 44.2%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in y5 around inf 44.9%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 44.9%

         \[\leadsto i \cdot \color{blue}{\left(\left(k \cdot y\right) \cdot y5\right)} \]

      2. *-commutative 44.9%

         \[\leadsto i \cdot \left(\color{blue}{\left(y \cdot k\right)} \cdot y5\right) \]

      3. associate-*l* 45.3%

         \[\leadsto i \cdot \color{blue}{\left(y \cdot \left(k \cdot y5\right)\right)} \]

   9. Simplified 45.3%

      \[\leadsto \color{blue}{i \cdot \left(y \cdot \left(k \cdot y5\right)\right)} \]

   if 2.2e116 < x

   1. Initial program 10.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 64.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 54.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 39.6%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]
3. Recombined 10 regimes into one program.

4. Final simplification 36.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -8.2 \cdot 10^{-13}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq -1.65 \cdot 10^{-46}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -2.2 \cdot 10^{-52}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -4.5 \cdot 10^{-160}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-103}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;x \leq 4.5 \cdot 10^{-65}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 3900000000000:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 5.4 \cdot 10^{+85}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 1.1 \cdot 10^{+92}:\\ \;\;\;\;y \cdot \left(a \cdot \left(x \cdot b\right)\right)\\ \mathbf{elif}\;x \leq 2.2 \cdot 10^{+116}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 39: 21.8% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ t_2 := a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ t_3 := j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{if}\;y3 \leq -3.8 \cdot 10^{+126}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -5.8 \cdot 10^{-92}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq -3.5 \cdot 10^{-157}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -8.2 \cdot 10^{-167}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq -9.2 \cdot 10^{-185}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 2.8 \cdot 10^{-258}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.4 \cdot 10^{-43}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 4.5 \cdot 10^{-16}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 4.3 \cdot 10^{+41}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 9.6 \cdot 10^{+71}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

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 (* j y3))))
        (t_2 (* a (* x (* y b))))
        (t_3 (* j (* x (* i y1)))))
   (if (<= y3 -3.8e+126)
     (* j (* y5 (* y0 y3)))
     (if (<= y3 -5.8e-92)
       t_3
       (if (<= y3 -3.5e-157)
         t_2
         (if (<= y3 -8.2e-167)
           t_3
           (if (<= y3 -9.2e-185)
             t_2
             (if (<= y3 2.8e-258)
               (* b (* z (* k y0)))
               (if (<= y3 1.4e-43)
                 (* i (* y1 (* x j)))
                 (if (<= y3 4.5e-16)
                   t_1
                   (if (<= y3 4.3e+41)
                     (* a (* t (* y2 y5)))
                     (if (<= y3 9.6e+71) (* a (* (* x y) b)) t_1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (y5 * (j * y3));
	double t_2 = a * (x * (y * b));
	double t_3 = j * (x * (i * y1));
	double tmp;
	if (y3 <= -3.8e+126) {
		tmp = j * (y5 * (y0 * y3));
	} else if (y3 <= -5.8e-92) {
		tmp = t_3;
	} else if (y3 <= -3.5e-157) {
		tmp = t_2;
	} else if (y3 <= -8.2e-167) {
		tmp = t_3;
	} else if (y3 <= -9.2e-185) {
		tmp = t_2;
	} else if (y3 <= 2.8e-258) {
		tmp = b * (z * (k * y0));
	} else if (y3 <= 1.4e-43) {
		tmp = i * (y1 * (x * j));
	} else if (y3 <= 4.5e-16) {
		tmp = t_1;
	} else if (y3 <= 4.3e+41) {
		tmp = a * (t * (y2 * y5));
	} else if (y3 <= 9.6e+71) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y0 * (y5 * (j * y3))
    t_2 = a * (x * (y * b))
    t_3 = j * (x * (i * y1))
    if (y3 <= (-3.8d+126)) then
        tmp = j * (y5 * (y0 * y3))
    else if (y3 <= (-5.8d-92)) then
        tmp = t_3
    else if (y3 <= (-3.5d-157)) then
        tmp = t_2
    else if (y3 <= (-8.2d-167)) then
        tmp = t_3
    else if (y3 <= (-9.2d-185)) then
        tmp = t_2
    else if (y3 <= 2.8d-258) then
        tmp = b * (z * (k * y0))
    else if (y3 <= 1.4d-43) then
        tmp = i * (y1 * (x * j))
    else if (y3 <= 4.5d-16) then
        tmp = t_1
    else if (y3 <= 4.3d+41) then
        tmp = a * (t * (y2 * y5))
    else if (y3 <= 9.6d+71) then
        tmp = a * ((x * y) * b)
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (y5 * (j * y3));
	double t_2 = a * (x * (y * b));
	double t_3 = j * (x * (i * y1));
	double tmp;
	if (y3 <= -3.8e+126) {
		tmp = j * (y5 * (y0 * y3));
	} else if (y3 <= -5.8e-92) {
		tmp = t_3;
	} else if (y3 <= -3.5e-157) {
		tmp = t_2;
	} else if (y3 <= -8.2e-167) {
		tmp = t_3;
	} else if (y3 <= -9.2e-185) {
		tmp = t_2;
	} else if (y3 <= 2.8e-258) {
		tmp = b * (z * (k * y0));
	} else if (y3 <= 1.4e-43) {
		tmp = i * (y1 * (x * j));
	} else if (y3 <= 4.5e-16) {
		tmp = t_1;
	} else if (y3 <= 4.3e+41) {
		tmp = a * (t * (y2 * y5));
	} else if (y3 <= 9.6e+71) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * (y5 * (j * y3))
	t_2 = a * (x * (y * b))
	t_3 = j * (x * (i * y1))
	tmp = 0
	if y3 <= -3.8e+126:
		tmp = j * (y5 * (y0 * y3))
	elif y3 <= -5.8e-92:
		tmp = t_3
	elif y3 <= -3.5e-157:
		tmp = t_2
	elif y3 <= -8.2e-167:
		tmp = t_3
	elif y3 <= -9.2e-185:
		tmp = t_2
	elif y3 <= 2.8e-258:
		tmp = b * (z * (k * y0))
	elif y3 <= 1.4e-43:
		tmp = i * (y1 * (x * j))
	elif y3 <= 4.5e-16:
		tmp = t_1
	elif y3 <= 4.3e+41:
		tmp = a * (t * (y2 * y5))
	elif y3 <= 9.6e+71:
		tmp = a * ((x * y) * b)
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y0 * Float64(y5 * Float64(j * y3)))
	t_2 = Float64(a * Float64(x * Float64(y * b)))
	t_3 = Float64(j * Float64(x * Float64(i * y1)))
	tmp = 0.0
	if (y3 <= -3.8e+126)
		tmp = Float64(j * Float64(y5 * Float64(y0 * y3)));
	elseif (y3 <= -5.8e-92)
		tmp = t_3;
	elseif (y3 <= -3.5e-157)
		tmp = t_2;
	elseif (y3 <= -8.2e-167)
		tmp = t_3;
	elseif (y3 <= -9.2e-185)
		tmp = t_2;
	elseif (y3 <= 2.8e-258)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	elseif (y3 <= 1.4e-43)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	elseif (y3 <= 4.5e-16)
		tmp = t_1;
	elseif (y3 <= 4.3e+41)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (y3 <= 9.6e+71)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * (y5 * (j * y3));
	t_2 = a * (x * (y * b));
	t_3 = j * (x * (i * y1));
	tmp = 0.0;
	if (y3 <= -3.8e+126)
		tmp = j * (y5 * (y0 * y3));
	elseif (y3 <= -5.8e-92)
		tmp = t_3;
	elseif (y3 <= -3.5e-157)
		tmp = t_2;
	elseif (y3 <= -8.2e-167)
		tmp = t_3;
	elseif (y3 <= -9.2e-185)
		tmp = t_2;
	elseif (y3 <= 2.8e-258)
		tmp = b * (z * (k * y0));
	elseif (y3 <= 1.4e-43)
		tmp = i * (y1 * (x * j));
	elseif (y3 <= 4.5e-16)
		tmp = t_1;
	elseif (y3 <= 4.3e+41)
		tmp = a * (t * (y2 * y5));
	elseif (y3 <= 9.6e+71)
		tmp = a * ((x * y) * b);
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -3.8e+126], N[(j * N[(y5 * N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -5.8e-92], t$95$3, If[LessEqual[y3, -3.5e-157], t$95$2, If[LessEqual[y3, -8.2e-167], t$95$3, If[LessEqual[y3, -9.2e-185], t$95$2, If[LessEqual[y3, 2.8e-258], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.4e-43], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.5e-16], t$95$1, If[LessEqual[y3, 4.3e+41], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 9.6e+71], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y3 < -3.80000000000000017e126

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 38.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 36.7%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 39.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 39.4%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 39.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

      3. associate-*l* 41.8%

         \[\leadsto j \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot y0\right)\right)} \]

   9. Simplified 41.8%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y3 \cdot y0\right)\right)} \]

   if -3.80000000000000017e126 < y3 < -5.79999999999999969e-92 or -3.5000000000000002e-157 < y3 < -8.20000000000000036e-167

   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 40.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 31.9%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 28.4%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]

   if -5.79999999999999969e-92 < y3 < -3.5000000000000002e-157 or -8.20000000000000036e-167 < y3 < -9.2000000000000003e-185

   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 x around inf 38.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 56.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 56.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 56.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 56.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 56.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 50.7%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if -9.2000000000000003e-185 < y3 < 2.8000000000000002e-258

   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 y0 around inf 26.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 26.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 26.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 26.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 26.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 26.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 26.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 26.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 26.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 32.5%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 29.8%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 29.8%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 29.8%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 29.8%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 29.8%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 29.8%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 32.8%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 38.3%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       2. *-commutative 38.3%

          \[\leadsto b \cdot \left(\color{blue}{\left(y0 \cdot k\right)} \cdot z\right) \]

   11. Simplified 38.3%

       \[\leadsto \color{blue}{b \cdot \left(\left(y0 \cdot k\right) \cdot z\right)} \]

   if 2.8000000000000002e-258 < y3 < 1.3999999999999999e-43

   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 x around inf 45.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 45.7%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 28.7%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 33.5%

         \[\leadsto i \cdot \color{blue}{\left(\left(j \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 33.5%

         \[\leadsto i \cdot \left(\color{blue}{\left(x \cdot j\right)} \cdot y1\right) \]

   7. Simplified 33.5%

      \[\leadsto \color{blue}{i \cdot \left(\left(x \cdot j\right) \cdot y1\right)} \]

   if 1.3999999999999999e-43 < y3 < 4.5000000000000002e-16 or 9.59999999999999923e71 < y3

   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 y0 around inf 46.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 46.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 46.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 46.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 42.7%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 39.3%

      \[\leadsto y0 \cdot \left(y5 \cdot \color{blue}{\left(j \cdot y3\right)}\right) \]

   if 4.5000000000000002e-16 < y3 < 4.30000000000000024e41

   1. Initial program 30.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 61.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 32.0%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 31.9%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 31.9%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 31.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if 4.30000000000000024e41 < y3 < 9.59999999999999923e71

   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 44.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 58.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 58.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 58.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 58.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 58.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 58.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 37.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -3.8 \cdot 10^{+126}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -5.8 \cdot 10^{-92}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq -3.5 \cdot 10^{-157}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq -8.2 \cdot 10^{-167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq -9.2 \cdot 10^{-185}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq 2.8 \cdot 10^{-258}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 1.4 \cdot 10^{-43}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 4.5 \cdot 10^{-16}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq 4.3 \cdot 10^{+41}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 9.6 \cdot 10^{+71}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 40: 21.9% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ t_2 := a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ t_3 := j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{if}\;y3 \leq -1.8 \cdot 10^{+124}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.4 \cdot 10^{-91}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq -4.2 \cdot 10^{-157}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -7.2 \cdot 10^{-167}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq -5.8 \cdot 10^{-185}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 1.62 \cdot 10^{-258}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 3.45 \cdot 10^{-43}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 2.7 \cdot 10^{-17}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 7.8 \cdot 10^{+39}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 4.3 \cdot 10^{+71}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y0 (* j (* y3 y5))))
        (t_2 (* a (* x (* y b))))
        (t_3 (* j (* x (* i y1)))))
   (if (<= y3 -1.8e+124)
     (* j (* y5 (* y0 y3)))
     (if (<= y3 -1.4e-91)
       t_3
       (if (<= y3 -4.2e-157)
         t_2
         (if (<= y3 -7.2e-167)
           t_3
           (if (<= y3 -5.8e-185)
             t_2
             (if (<= y3 1.62e-258)
               (* b (* z (* k y0)))
               (if (<= y3 3.45e-43)
                 (* i (* y1 (* x j)))
                 (if (<= y3 2.7e-17)
                   t_1
                   (if (<= y3 7.8e+39)
                     (* a (* t (* y2 y5)))
                     (if (<= y3 4.3e+71) (* a (* (* x y) b)) t_1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (j * (y3 * y5));
	double t_2 = a * (x * (y * b));
	double t_3 = j * (x * (i * y1));
	double tmp;
	if (y3 <= -1.8e+124) {
		tmp = j * (y5 * (y0 * y3));
	} else if (y3 <= -1.4e-91) {
		tmp = t_3;
	} else if (y3 <= -4.2e-157) {
		tmp = t_2;
	} else if (y3 <= -7.2e-167) {
		tmp = t_3;
	} else if (y3 <= -5.8e-185) {
		tmp = t_2;
	} else if (y3 <= 1.62e-258) {
		tmp = b * (z * (k * y0));
	} else if (y3 <= 3.45e-43) {
		tmp = i * (y1 * (x * j));
	} else if (y3 <= 2.7e-17) {
		tmp = t_1;
	} else if (y3 <= 7.8e+39) {
		tmp = a * (t * (y2 * y5));
	} else if (y3 <= 4.3e+71) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = y0 * (j * (y3 * y5))
    t_2 = a * (x * (y * b))
    t_3 = j * (x * (i * y1))
    if (y3 <= (-1.8d+124)) then
        tmp = j * (y5 * (y0 * y3))
    else if (y3 <= (-1.4d-91)) then
        tmp = t_3
    else if (y3 <= (-4.2d-157)) then
        tmp = t_2
    else if (y3 <= (-7.2d-167)) then
        tmp = t_3
    else if (y3 <= (-5.8d-185)) then
        tmp = t_2
    else if (y3 <= 1.62d-258) then
        tmp = b * (z * (k * y0))
    else if (y3 <= 3.45d-43) then
        tmp = i * (y1 * (x * j))
    else if (y3 <= 2.7d-17) then
        tmp = t_1
    else if (y3 <= 7.8d+39) then
        tmp = a * (t * (y2 * y5))
    else if (y3 <= 4.3d+71) then
        tmp = a * ((x * y) * b)
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (j * (y3 * y5));
	double t_2 = a * (x * (y * b));
	double t_3 = j * (x * (i * y1));
	double tmp;
	if (y3 <= -1.8e+124) {
		tmp = j * (y5 * (y0 * y3));
	} else if (y3 <= -1.4e-91) {
		tmp = t_3;
	} else if (y3 <= -4.2e-157) {
		tmp = t_2;
	} else if (y3 <= -7.2e-167) {
		tmp = t_3;
	} else if (y3 <= -5.8e-185) {
		tmp = t_2;
	} else if (y3 <= 1.62e-258) {
		tmp = b * (z * (k * y0));
	} else if (y3 <= 3.45e-43) {
		tmp = i * (y1 * (x * j));
	} else if (y3 <= 2.7e-17) {
		tmp = t_1;
	} else if (y3 <= 7.8e+39) {
		tmp = a * (t * (y2 * y5));
	} else if (y3 <= 4.3e+71) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * (j * (y3 * y5))
	t_2 = a * (x * (y * b))
	t_3 = j * (x * (i * y1))
	tmp = 0
	if y3 <= -1.8e+124:
		tmp = j * (y5 * (y0 * y3))
	elif y3 <= -1.4e-91:
		tmp = t_3
	elif y3 <= -4.2e-157:
		tmp = t_2
	elif y3 <= -7.2e-167:
		tmp = t_3
	elif y3 <= -5.8e-185:
		tmp = t_2
	elif y3 <= 1.62e-258:
		tmp = b * (z * (k * y0))
	elif y3 <= 3.45e-43:
		tmp = i * (y1 * (x * j))
	elif y3 <= 2.7e-17:
		tmp = t_1
	elif y3 <= 7.8e+39:
		tmp = a * (t * (y2 * y5))
	elif y3 <= 4.3e+71:
		tmp = a * ((x * y) * b)
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y0 * Float64(j * Float64(y3 * y5)))
	t_2 = Float64(a * Float64(x * Float64(y * b)))
	t_3 = Float64(j * Float64(x * Float64(i * y1)))
	tmp = 0.0
	if (y3 <= -1.8e+124)
		tmp = Float64(j * Float64(y5 * Float64(y0 * y3)));
	elseif (y3 <= -1.4e-91)
		tmp = t_3;
	elseif (y3 <= -4.2e-157)
		tmp = t_2;
	elseif (y3 <= -7.2e-167)
		tmp = t_3;
	elseif (y3 <= -5.8e-185)
		tmp = t_2;
	elseif (y3 <= 1.62e-258)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	elseif (y3 <= 3.45e-43)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	elseif (y3 <= 2.7e-17)
		tmp = t_1;
	elseif (y3 <= 7.8e+39)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (y3 <= 4.3e+71)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * (j * (y3 * y5));
	t_2 = a * (x * (y * b));
	t_3 = j * (x * (i * y1));
	tmp = 0.0;
	if (y3 <= -1.8e+124)
		tmp = j * (y5 * (y0 * y3));
	elseif (y3 <= -1.4e-91)
		tmp = t_3;
	elseif (y3 <= -4.2e-157)
		tmp = t_2;
	elseif (y3 <= -7.2e-167)
		tmp = t_3;
	elseif (y3 <= -5.8e-185)
		tmp = t_2;
	elseif (y3 <= 1.62e-258)
		tmp = b * (z * (k * y0));
	elseif (y3 <= 3.45e-43)
		tmp = i * (y1 * (x * j));
	elseif (y3 <= 2.7e-17)
		tmp = t_1;
	elseif (y3 <= 7.8e+39)
		tmp = a * (t * (y2 * y5));
	elseif (y3 <= 4.3e+71)
		tmp = a * ((x * y) * b);
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -1.8e+124], N[(j * N[(y5 * N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -1.4e-91], t$95$3, If[LessEqual[y3, -4.2e-157], t$95$2, If[LessEqual[y3, -7.2e-167], t$95$3, If[LessEqual[y3, -5.8e-185], t$95$2, If[LessEqual[y3, 1.62e-258], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.45e-43], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.7e-17], t$95$1, If[LessEqual[y3, 7.8e+39], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.3e+71], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y3 < -1.79999999999999993e124

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 38.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 36.7%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 39.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 39.4%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 39.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

      3. associate-*l* 41.8%

         \[\leadsto j \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot y0\right)\right)} \]

   9. Simplified 41.8%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y3 \cdot y0\right)\right)} \]

   if -1.79999999999999993e124 < y3 < -1.4e-91 or -4.2e-157 < y3 < -7.2000000000000002e-167

   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 40.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 31.9%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 28.4%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]

   if -1.4e-91 < y3 < -4.2e-157 or -7.2000000000000002e-167 < y3 < -5.79999999999999989e-185

   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 x around inf 38.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 56.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 56.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 56.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 56.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 56.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 50.7%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if -5.79999999999999989e-185 < y3 < 1.62000000000000002e-258

   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 y0 around inf 26.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 26.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 26.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 26.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 26.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 26.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 26.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 26.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 26.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 32.5%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 29.8%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 29.8%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 29.8%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 29.8%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 29.8%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 29.8%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 32.8%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 38.3%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       2. *-commutative 38.3%

          \[\leadsto b \cdot \left(\color{blue}{\left(y0 \cdot k\right)} \cdot z\right) \]

   11. Simplified 38.3%

       \[\leadsto \color{blue}{b \cdot \left(\left(y0 \cdot k\right) \cdot z\right)} \]

   if 1.62000000000000002e-258 < y3 < 3.44999999999999982e-43

   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 x around inf 45.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 45.7%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 28.7%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 33.5%

         \[\leadsto i \cdot \color{blue}{\left(\left(j \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 33.5%

         \[\leadsto i \cdot \left(\color{blue}{\left(x \cdot j\right)} \cdot y1\right) \]

   7. Simplified 33.5%

      \[\leadsto \color{blue}{i \cdot \left(\left(x \cdot j\right) \cdot y1\right)} \]

   if 3.44999999999999982e-43 < y3 < 2.7000000000000001e-17 or 4.29999999999999984e71 < y3

   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 y0 around inf 46.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 46.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 46.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 46.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 42.7%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 37.4%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 37.4%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y5 \cdot y3\right)}\right) \]

   9. Simplified 37.4%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y5 \cdot y3\right)\right)} \]

   if 2.7000000000000001e-17 < y3 < 7.8000000000000002e39

   1. Initial program 30.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 61.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 32.0%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 31.9%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 31.9%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 31.9%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if 7.8000000000000002e39 < y3 < 4.29999999999999984e71

   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 44.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 58.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 58.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 58.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 58.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 58.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 58.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 36.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.8 \cdot 10^{+124}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -1.4 \cdot 10^{-91}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq -4.2 \cdot 10^{-157}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq -7.2 \cdot 10^{-167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq -5.8 \cdot 10^{-185}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq 1.62 \cdot 10^{-258}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 3.45 \cdot 10^{-43}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 2.7 \cdot 10^{-17}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 7.8 \cdot 10^{+39}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 4.3 \cdot 10^{+71}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 41: 21.5% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ t_2 := a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ t_3 := j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{if}\;y3 \leq -5.5 \cdot 10^{+125}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -3.8 \cdot 10^{-88}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq -3.8 \cdot 10^{-157}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -1 \cdot 10^{-166}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq -8 \cdot 10^{-188}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 4.3 \cdot 10^{-257}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 6.1 \cdot 10^{-46}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 0.92:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq 3 \cdot 10^{+43}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 3.9 \cdot 10^{+147}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* z (* k y0))))
        (t_2 (* a (* x (* y b))))
        (t_3 (* j (* x (* i y1)))))
   (if (<= y3 -5.5e+125)
     (* j (* y5 (* y0 y3)))
     (if (<= y3 -3.8e-88)
       t_3
       (if (<= y3 -3.8e-157)
         t_2
         (if (<= y3 -1e-166)
           t_3
           (if (<= y3 -8e-188)
             t_2
             (if (<= y3 4.3e-257)
               t_1
               (if (<= y3 6.1e-46)
                 (* i (* y1 (* x j)))
                 (if (<= y3 0.92)
                   t_1
                   (if (<= y3 3e+43)
                     (* a (* t (* y2 y5)))
                     (if (<= y3 3.9e+147)
                       (* a (* (* x y) b))
                       (* j (* y0 (* 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 = b * (z * (k * y0));
	double t_2 = a * (x * (y * b));
	double t_3 = j * (x * (i * y1));
	double tmp;
	if (y3 <= -5.5e+125) {
		tmp = j * (y5 * (y0 * y3));
	} else if (y3 <= -3.8e-88) {
		tmp = t_3;
	} else if (y3 <= -3.8e-157) {
		tmp = t_2;
	} else if (y3 <= -1e-166) {
		tmp = t_3;
	} else if (y3 <= -8e-188) {
		tmp = t_2;
	} else if (y3 <= 4.3e-257) {
		tmp = t_1;
	} else if (y3 <= 6.1e-46) {
		tmp = i * (y1 * (x * j));
	} else if (y3 <= 0.92) {
		tmp = t_1;
	} else if (y3 <= 3e+43) {
		tmp = a * (t * (y2 * y5));
	} else if (y3 <= 3.9e+147) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = j * (y0 * (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) :: t_3
    real(8) :: tmp
    t_1 = b * (z * (k * y0))
    t_2 = a * (x * (y * b))
    t_3 = j * (x * (i * y1))
    if (y3 <= (-5.5d+125)) then
        tmp = j * (y5 * (y0 * y3))
    else if (y3 <= (-3.8d-88)) then
        tmp = t_3
    else if (y3 <= (-3.8d-157)) then
        tmp = t_2
    else if (y3 <= (-1d-166)) then
        tmp = t_3
    else if (y3 <= (-8d-188)) then
        tmp = t_2
    else if (y3 <= 4.3d-257) then
        tmp = t_1
    else if (y3 <= 6.1d-46) then
        tmp = i * (y1 * (x * j))
    else if (y3 <= 0.92d0) then
        tmp = t_1
    else if (y3 <= 3d+43) then
        tmp = a * (t * (y2 * y5))
    else if (y3 <= 3.9d+147) then
        tmp = a * ((x * y) * b)
    else
        tmp = j * (y0 * (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 = b * (z * (k * y0));
	double t_2 = a * (x * (y * b));
	double t_3 = j * (x * (i * y1));
	double tmp;
	if (y3 <= -5.5e+125) {
		tmp = j * (y5 * (y0 * y3));
	} else if (y3 <= -3.8e-88) {
		tmp = t_3;
	} else if (y3 <= -3.8e-157) {
		tmp = t_2;
	} else if (y3 <= -1e-166) {
		tmp = t_3;
	} else if (y3 <= -8e-188) {
		tmp = t_2;
	} else if (y3 <= 4.3e-257) {
		tmp = t_1;
	} else if (y3 <= 6.1e-46) {
		tmp = i * (y1 * (x * j));
	} else if (y3 <= 0.92) {
		tmp = t_1;
	} else if (y3 <= 3e+43) {
		tmp = a * (t * (y2 * y5));
	} else if (y3 <= 3.9e+147) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = j * (y0 * (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 = b * (z * (k * y0))
	t_2 = a * (x * (y * b))
	t_3 = j * (x * (i * y1))
	tmp = 0
	if y3 <= -5.5e+125:
		tmp = j * (y5 * (y0 * y3))
	elif y3 <= -3.8e-88:
		tmp = t_3
	elif y3 <= -3.8e-157:
		tmp = t_2
	elif y3 <= -1e-166:
		tmp = t_3
	elif y3 <= -8e-188:
		tmp = t_2
	elif y3 <= 4.3e-257:
		tmp = t_1
	elif y3 <= 6.1e-46:
		tmp = i * (y1 * (x * j))
	elif y3 <= 0.92:
		tmp = t_1
	elif y3 <= 3e+43:
		tmp = a * (t * (y2 * y5))
	elif y3 <= 3.9e+147:
		tmp = a * ((x * y) * b)
	else:
		tmp = j * (y0 * (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(b * Float64(z * Float64(k * y0)))
	t_2 = Float64(a * Float64(x * Float64(y * b)))
	t_3 = Float64(j * Float64(x * Float64(i * y1)))
	tmp = 0.0
	if (y3 <= -5.5e+125)
		tmp = Float64(j * Float64(y5 * Float64(y0 * y3)));
	elseif (y3 <= -3.8e-88)
		tmp = t_3;
	elseif (y3 <= -3.8e-157)
		tmp = t_2;
	elseif (y3 <= -1e-166)
		tmp = t_3;
	elseif (y3 <= -8e-188)
		tmp = t_2;
	elseif (y3 <= 4.3e-257)
		tmp = t_1;
	elseif (y3 <= 6.1e-46)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	elseif (y3 <= 0.92)
		tmp = t_1;
	elseif (y3 <= 3e+43)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (y3 <= 3.9e+147)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = Float64(j * Float64(y0 * 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 = b * (z * (k * y0));
	t_2 = a * (x * (y * b));
	t_3 = j * (x * (i * y1));
	tmp = 0.0;
	if (y3 <= -5.5e+125)
		tmp = j * (y5 * (y0 * y3));
	elseif (y3 <= -3.8e-88)
		tmp = t_3;
	elseif (y3 <= -3.8e-157)
		tmp = t_2;
	elseif (y3 <= -1e-166)
		tmp = t_3;
	elseif (y3 <= -8e-188)
		tmp = t_2;
	elseif (y3 <= 4.3e-257)
		tmp = t_1;
	elseif (y3 <= 6.1e-46)
		tmp = i * (y1 * (x * j));
	elseif (y3 <= 0.92)
		tmp = t_1;
	elseif (y3 <= 3e+43)
		tmp = a * (t * (y2 * y5));
	elseif (y3 <= 3.9e+147)
		tmp = a * ((x * y) * b);
	else
		tmp = j * (y0 * (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[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -5.5e+125], N[(j * N[(y5 * N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.8e-88], t$95$3, If[LessEqual[y3, -3.8e-157], t$95$2, If[LessEqual[y3, -1e-166], t$95$3, If[LessEqual[y3, -8e-188], t$95$2, If[LessEqual[y3, 4.3e-257], t$95$1, If[LessEqual[y3, 6.1e-46], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 0.92], t$95$1, If[LessEqual[y3, 3e+43], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 3.9e+147], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y3 < -5.49999999999999996e125

   1. Initial program 13.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 38.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 36.7%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 39.4%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 39.4%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 39.4%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

      3. associate-*l* 41.8%

         \[\leadsto j \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot y0\right)\right)} \]

   9. Simplified 41.8%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y3 \cdot y0\right)\right)} \]

   if -5.49999999999999996e125 < y3 < -3.80000000000000011e-88 or -3.8000000000000002e-157 < y3 < -1.00000000000000004e-166

   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 40.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 31.9%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 28.4%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]

   if -3.80000000000000011e-88 < y3 < -3.8000000000000002e-157 or -1.00000000000000004e-166 < y3 < -7.9999999999999996e-188

   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 x around inf 38.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 56.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 56.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 56.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 56.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 56.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 50.7%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if -7.9999999999999996e-188 < y3 < 4.29999999999999998e-257 or 6.10000000000000035e-46 < y3 < 0.92000000000000004

   1. Initial program 34.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 32.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 32.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 32.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 32.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 32.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 32.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 32.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 32.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 32.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 31.0%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 28.9%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 28.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 28.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 28.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 28.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 28.9%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 33.0%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 37.4%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       2. *-commutative 37.4%

          \[\leadsto b \cdot \left(\color{blue}{\left(y0 \cdot k\right)} \cdot z\right) \]

   11. Simplified 37.4%

       \[\leadsto \color{blue}{b \cdot \left(\left(y0 \cdot k\right) \cdot z\right)} \]

   if 4.29999999999999998e-257 < y3 < 6.10000000000000035e-46

   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 x around inf 45.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 45.7%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 28.7%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 33.5%

         \[\leadsto i \cdot \color{blue}{\left(\left(j \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 33.5%

         \[\leadsto i \cdot \left(\color{blue}{\left(x \cdot j\right)} \cdot y1\right) \]

   7. Simplified 33.5%

      \[\leadsto \color{blue}{i \cdot \left(\left(x \cdot j\right) \cdot y1\right)} \]

   if 0.92000000000000004 < y3 < 3.00000000000000017e43

   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 y2 around inf 66.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 34.6%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 34.5%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 34.5%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 34.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if 3.00000000000000017e43 < y3 < 3.90000000000000016e147

   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 39.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 34.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 34.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 34.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 34.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 34.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 34.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if 3.90000000000000016e147 < y3

   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 46.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 46.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 46.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 46.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 50.5%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 43.7%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 43.7%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 43.7%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

   9. Simplified 43.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(y5 \cdot y3\right) \cdot y0\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 36.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -5.5 \cdot 10^{+125}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -3.8 \cdot 10^{-88}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq -3.8 \cdot 10^{-157}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq -1 \cdot 10^{-166}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq -8 \cdot 10^{-188}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq 4.3 \cdot 10^{-257}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 6.1 \cdot 10^{-46}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 0.92:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 3 \cdot 10^{+43}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 3.9 \cdot 10^{+147}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 42: 21.4% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ t_2 := b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ t_3 := a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ t_4 := j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{if}\;y3 \leq -3.9 \cdot 10^{+128}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -3.5 \cdot 10^{-86}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y3 \leq -3.5 \cdot 10^{-157}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq -6.8 \cdot 10^{-167}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y3 \leq -1.45 \cdot 10^{-185}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;y3 \leq 1.44 \cdot 10^{-257}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 5.4 \cdot 10^{-48}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 2.1:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 8.2 \cdot 10^{+40}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 6.4 \cdot 10^{+142}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* y5 (* y0 y3))))
        (t_2 (* b (* z (* k y0))))
        (t_3 (* a (* x (* y b))))
        (t_4 (* j (* x (* i y1)))))
   (if (<= y3 -3.9e+128)
     t_1
     (if (<= y3 -3.5e-86)
       t_4
       (if (<= y3 -3.5e-157)
         t_3
         (if (<= y3 -6.8e-167)
           t_4
           (if (<= y3 -1.45e-185)
             t_3
             (if (<= y3 1.44e-257)
               t_2
               (if (<= y3 5.4e-48)
                 (* i (* y1 (* x j)))
                 (if (<= y3 2.1)
                   t_2
                   (if (<= y3 8.2e+40)
                     (* a (* t (* y2 y5)))
                     (if (<= y3 6.4e+142) (* a (* (* x y) b)) t_1))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (y5 * (y0 * y3));
	double t_2 = b * (z * (k * y0));
	double t_3 = a * (x * (y * b));
	double t_4 = j * (x * (i * y1));
	double tmp;
	if (y3 <= -3.9e+128) {
		tmp = t_1;
	} else if (y3 <= -3.5e-86) {
		tmp = t_4;
	} else if (y3 <= -3.5e-157) {
		tmp = t_3;
	} else if (y3 <= -6.8e-167) {
		tmp = t_4;
	} else if (y3 <= -1.45e-185) {
		tmp = t_3;
	} else if (y3 <= 1.44e-257) {
		tmp = t_2;
	} else if (y3 <= 5.4e-48) {
		tmp = i * (y1 * (x * j));
	} else if (y3 <= 2.1) {
		tmp = t_2;
	} else if (y3 <= 8.2e+40) {
		tmp = a * (t * (y2 * y5));
	} else if (y3 <= 6.4e+142) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = j * (y5 * (y0 * y3))
    t_2 = b * (z * (k * y0))
    t_3 = a * (x * (y * b))
    t_4 = j * (x * (i * y1))
    if (y3 <= (-3.9d+128)) then
        tmp = t_1
    else if (y3 <= (-3.5d-86)) then
        tmp = t_4
    else if (y3 <= (-3.5d-157)) then
        tmp = t_3
    else if (y3 <= (-6.8d-167)) then
        tmp = t_4
    else if (y3 <= (-1.45d-185)) then
        tmp = t_3
    else if (y3 <= 1.44d-257) then
        tmp = t_2
    else if (y3 <= 5.4d-48) then
        tmp = i * (y1 * (x * j))
    else if (y3 <= 2.1d0) then
        tmp = t_2
    else if (y3 <= 8.2d+40) then
        tmp = a * (t * (y2 * y5))
    else if (y3 <= 6.4d+142) then
        tmp = a * ((x * y) * b)
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (y5 * (y0 * y3));
	double t_2 = b * (z * (k * y0));
	double t_3 = a * (x * (y * b));
	double t_4 = j * (x * (i * y1));
	double tmp;
	if (y3 <= -3.9e+128) {
		tmp = t_1;
	} else if (y3 <= -3.5e-86) {
		tmp = t_4;
	} else if (y3 <= -3.5e-157) {
		tmp = t_3;
	} else if (y3 <= -6.8e-167) {
		tmp = t_4;
	} else if (y3 <= -1.45e-185) {
		tmp = t_3;
	} else if (y3 <= 1.44e-257) {
		tmp = t_2;
	} else if (y3 <= 5.4e-48) {
		tmp = i * (y1 * (x * j));
	} else if (y3 <= 2.1) {
		tmp = t_2;
	} else if (y3 <= 8.2e+40) {
		tmp = a * (t * (y2 * y5));
	} else if (y3 <= 6.4e+142) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (y5 * (y0 * y3))
	t_2 = b * (z * (k * y0))
	t_3 = a * (x * (y * b))
	t_4 = j * (x * (i * y1))
	tmp = 0
	if y3 <= -3.9e+128:
		tmp = t_1
	elif y3 <= -3.5e-86:
		tmp = t_4
	elif y3 <= -3.5e-157:
		tmp = t_3
	elif y3 <= -6.8e-167:
		tmp = t_4
	elif y3 <= -1.45e-185:
		tmp = t_3
	elif y3 <= 1.44e-257:
		tmp = t_2
	elif y3 <= 5.4e-48:
		tmp = i * (y1 * (x * j))
	elif y3 <= 2.1:
		tmp = t_2
	elif y3 <= 8.2e+40:
		tmp = a * (t * (y2 * y5))
	elif y3 <= 6.4e+142:
		tmp = a * ((x * y) * b)
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(y5 * Float64(y0 * y3)))
	t_2 = Float64(b * Float64(z * Float64(k * y0)))
	t_3 = Float64(a * Float64(x * Float64(y * b)))
	t_4 = Float64(j * Float64(x * Float64(i * y1)))
	tmp = 0.0
	if (y3 <= -3.9e+128)
		tmp = t_1;
	elseif (y3 <= -3.5e-86)
		tmp = t_4;
	elseif (y3 <= -3.5e-157)
		tmp = t_3;
	elseif (y3 <= -6.8e-167)
		tmp = t_4;
	elseif (y3 <= -1.45e-185)
		tmp = t_3;
	elseif (y3 <= 1.44e-257)
		tmp = t_2;
	elseif (y3 <= 5.4e-48)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	elseif (y3 <= 2.1)
		tmp = t_2;
	elseif (y3 <= 8.2e+40)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (y3 <= 6.4e+142)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (y5 * (y0 * y3));
	t_2 = b * (z * (k * y0));
	t_3 = a * (x * (y * b));
	t_4 = j * (x * (i * y1));
	tmp = 0.0;
	if (y3 <= -3.9e+128)
		tmp = t_1;
	elseif (y3 <= -3.5e-86)
		tmp = t_4;
	elseif (y3 <= -3.5e-157)
		tmp = t_3;
	elseif (y3 <= -6.8e-167)
		tmp = t_4;
	elseif (y3 <= -1.45e-185)
		tmp = t_3;
	elseif (y3 <= 1.44e-257)
		tmp = t_2;
	elseif (y3 <= 5.4e-48)
		tmp = i * (y1 * (x * j));
	elseif (y3 <= 2.1)
		tmp = t_2;
	elseif (y3 <= 8.2e+40)
		tmp = a * (t * (y2 * y5));
	elseif (y3 <= 6.4e+142)
		tmp = a * ((x * y) * b);
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(y5 * N[(y0 * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -3.9e+128], t$95$1, If[LessEqual[y3, -3.5e-86], t$95$4, If[LessEqual[y3, -3.5e-157], t$95$3, If[LessEqual[y3, -6.8e-167], t$95$4, If[LessEqual[y3, -1.45e-185], t$95$3, If[LessEqual[y3, 1.44e-257], t$95$2, If[LessEqual[y3, 5.4e-48], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.1], t$95$2, If[LessEqual[y3, 8.2e+40], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 6.4e+142], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -3.8999999999999997e128 or 6.40000000000000011e142 < y3

   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 y0 around inf 42.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 42.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 42.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 42.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 42.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 42.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 42.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 42.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 42.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 42.5%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 41.2%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 41.2%

         \[\leadsto j \cdot \color{blue}{\left(\left(y3 \cdot y5\right) \cdot y0\right)} \]

      2. *-commutative 41.2%

         \[\leadsto j \cdot \left(\color{blue}{\left(y5 \cdot y3\right)} \cdot y0\right) \]

      3. associate-*l* 39.9%

         \[\leadsto j \cdot \color{blue}{\left(y5 \cdot \left(y3 \cdot y0\right)\right)} \]

   9. Simplified 39.9%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y3 \cdot y0\right)\right)} \]

   if -3.8999999999999997e128 < y3 < -3.50000000000000021e-86 or -3.5000000000000002e-157 < y3 < -6.7999999999999995e-167

   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 40.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 31.9%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 28.4%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]

   if -3.50000000000000021e-86 < y3 < -3.5000000000000002e-157 or -6.7999999999999995e-167 < y3 < -1.44999999999999997e-185

   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 x around inf 38.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 56.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 56.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 56.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 56.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 56.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 50.7%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if -1.44999999999999997e-185 < y3 < 1.43999999999999992e-257 or 5.40000000000000023e-48 < y3 < 2.10000000000000009

   1. Initial program 34.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 32.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 32.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 32.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 32.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 32.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 32.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 32.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 32.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 32.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 31.0%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 28.9%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 28.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 28.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 28.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 28.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 28.9%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 33.0%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 37.4%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       2. *-commutative 37.4%

          \[\leadsto b \cdot \left(\color{blue}{\left(y0 \cdot k\right)} \cdot z\right) \]

   11. Simplified 37.4%

       \[\leadsto \color{blue}{b \cdot \left(\left(y0 \cdot k\right) \cdot z\right)} \]

   if 1.43999999999999992e-257 < y3 < 5.40000000000000023e-48

   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 x around inf 45.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 45.7%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 28.7%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 33.5%

         \[\leadsto i \cdot \color{blue}{\left(\left(j \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 33.5%

         \[\leadsto i \cdot \left(\color{blue}{\left(x \cdot j\right)} \cdot y1\right) \]

   7. Simplified 33.5%

      \[\leadsto \color{blue}{i \cdot \left(\left(x \cdot j\right) \cdot y1\right)} \]

   if 2.10000000000000009 < y3 < 8.2000000000000003e40

   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 y2 around inf 66.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 34.6%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 34.5%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 34.5%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 34.5%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if 8.2000000000000003e40 < y3 < 6.40000000000000011e142

   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 39.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 34.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 34.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 34.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 34.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 34.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 34.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 35.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -3.9 \cdot 10^{+128}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ \mathbf{elif}\;y3 \leq -3.5 \cdot 10^{-86}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq -3.5 \cdot 10^{-157}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq -6.8 \cdot 10^{-167}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y3 \leq -1.45 \cdot 10^{-185}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y3 \leq 1.44 \cdot 10^{-257}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 5.4 \cdot 10^{-48}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y3 \leq 2.1:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;y3 \leq 8.2 \cdot 10^{+40}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y3 \leq 6.4 \cdot 10^{+142}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 43: 28.7% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;y \leq -2.5 \cdot 10^{+111}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.7 \cdot 10^{-87}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -2.35 \cdot 10^{-179}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.25 \cdot 10^{-250}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{-264}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-157}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{-71}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 2.25 \cdot 10^{-20}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 6.6 \cdot 10^{+177}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= y -2.5e+111)
     (* i (* k (- (* y y5) (* z y1))))
     (if (<= y -1.7e-87)
       t_1
       (if (<= y -2.35e-179)
         (* j (* x (* i y1)))
         (if (<= y -1.25e-250)
           (* y2 (* t (* a y5)))
           (if (<= y 2.7e-264)
             t_1
             (if (<= y 3.4e-157)
               (* k (* y1 (- (* y2 y4) (* z i))))
               (if (<= y 1.75e-71)
                 (* b (* y0 (- (* z k) (* x j))))
                 (if (<= y 2.25e-20)
                   (* a (* t (* y2 y5)))
                   (if (<= y 6.6e+177)
                     (* b (* x (- (* y a) (* j y0))))
                     (* b (* y4 (- (* t j) (* y k)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y <= -2.5e+111) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y <= -1.7e-87) {
		tmp = t_1;
	} else if (y <= -2.35e-179) {
		tmp = j * (x * (i * y1));
	} else if (y <= -1.25e-250) {
		tmp = y2 * (t * (a * y5));
	} else if (y <= 2.7e-264) {
		tmp = t_1;
	} else if (y <= 3.4e-157) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (y <= 1.75e-71) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 2.25e-20) {
		tmp = a * (t * (y2 * y5));
	} else if (y <= 6.6e+177) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = b * (y4 * ((t * j) - (y * k)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    if (y <= (-2.5d+111)) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (y <= (-1.7d-87)) then
        tmp = t_1
    else if (y <= (-2.35d-179)) then
        tmp = j * (x * (i * y1))
    else if (y <= (-1.25d-250)) then
        tmp = y2 * (t * (a * y5))
    else if (y <= 2.7d-264) then
        tmp = t_1
    else if (y <= 3.4d-157) then
        tmp = k * (y1 * ((y2 * y4) - (z * i)))
    else if (y <= 1.75d-71) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y <= 2.25d-20) then
        tmp = a * (t * (y2 * y5))
    else if (y <= 6.6d+177) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else
        tmp = b * (y4 * ((t * j) - (y * k)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y <= -2.5e+111) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (y <= -1.7e-87) {
		tmp = t_1;
	} else if (y <= -2.35e-179) {
		tmp = j * (x * (i * y1));
	} else if (y <= -1.25e-250) {
		tmp = y2 * (t * (a * y5));
	} else if (y <= 2.7e-264) {
		tmp = t_1;
	} else if (y <= 3.4e-157) {
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	} else if (y <= 1.75e-71) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 2.25e-20) {
		tmp = a * (t * (y2 * y5));
	} else if (y <= 6.6e+177) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = b * (y4 * ((t * j) - (y * k)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if y <= -2.5e+111:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif y <= -1.7e-87:
		tmp = t_1
	elif y <= -2.35e-179:
		tmp = j * (x * (i * y1))
	elif y <= -1.25e-250:
		tmp = y2 * (t * (a * y5))
	elif y <= 2.7e-264:
		tmp = t_1
	elif y <= 3.4e-157:
		tmp = k * (y1 * ((y2 * y4) - (z * i)))
	elif y <= 1.75e-71:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y <= 2.25e-20:
		tmp = a * (t * (y2 * y5))
	elif y <= 6.6e+177:
		tmp = b * (x * ((y * a) - (j * y0)))
	else:
		tmp = b * (y4 * ((t * j) - (y * k)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (y <= -2.5e+111)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (y <= -1.7e-87)
		tmp = t_1;
	elseif (y <= -2.35e-179)
		tmp = Float64(j * Float64(x * Float64(i * y1)));
	elseif (y <= -1.25e-250)
		tmp = Float64(y2 * Float64(t * Float64(a * y5)));
	elseif (y <= 2.7e-264)
		tmp = t_1;
	elseif (y <= 3.4e-157)
		tmp = Float64(k * Float64(y1 * Float64(Float64(y2 * y4) - Float64(z * i))));
	elseif (y <= 1.75e-71)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y <= 2.25e-20)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (y <= 6.6e+177)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	else
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (y <= -2.5e+111)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (y <= -1.7e-87)
		tmp = t_1;
	elseif (y <= -2.35e-179)
		tmp = j * (x * (i * y1));
	elseif (y <= -1.25e-250)
		tmp = y2 * (t * (a * y5));
	elseif (y <= 2.7e-264)
		tmp = t_1;
	elseif (y <= 3.4e-157)
		tmp = k * (y1 * ((y2 * y4) - (z * i)));
	elseif (y <= 1.75e-71)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y <= 2.25e-20)
		tmp = a * (t * (y2 * y5));
	elseif (y <= 6.6e+177)
		tmp = b * (x * ((y * a) - (j * y0)));
	else
		tmp = b * (y4 * ((t * j) - (y * k)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -2.5e+111], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.7e-87], t$95$1, If[LessEqual[y, -2.35e-179], N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.25e-250], N[(y2 * N[(t * N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.7e-264], t$95$1, If[LessEqual[y, 3.4e-157], N[(k * N[(y1 * N[(N[(y2 * y4), $MachinePrecision] - N[(z * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.75e-71], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.25e-20], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 6.6e+177], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y < -2.4999999999999998e111

   1. Initial program 18.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 35.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 35.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 35.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 35.7%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 35.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 35.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 35.7%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 35.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in i around -inf 54.5%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(-1 \cdot \left(y1 \cdot z\right) + y \cdot y5\right)\right)} \]
   7. Step-by-step derivation

      1. +-commutative 54.5%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 + -1 \cdot \left(y1 \cdot z\right)\right)}\right) \]

      2. mul-1-neg 54.5%

         \[\leadsto i \cdot \left(k \cdot \left(y \cdot y5 + \color{blue}{\left(-y1 \cdot z\right)}\right)\right) \]

      3. unsub-neg 54.5%

         \[\leadsto i \cdot \left(k \cdot \color{blue}{\left(y \cdot y5 - y1 \cdot z\right)}\right) \]

   8. Simplified 54.5%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)} \]

   if -2.4999999999999998e111 < y < -1.6999999999999999e-87 or -1.25000000000000007e-250 < y < 2.69999999999999994e-264

   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 40.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 36.6%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -1.6999999999999999e-87 < y < -2.3500000000000001e-179

   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 x around inf 25.2%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 36.6%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 36.6%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]

   if -2.3500000000000001e-179 < y < -1.25000000000000007e-250

   1. Initial program 47.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 53.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 36.5%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 42.5%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(a \cdot y5\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 42.5%

         \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   7. Simplified 42.5%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   if 2.69999999999999994e-264 < y < 3.39999999999999977e-157

   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 k around inf 58.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 58.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 58.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 58.5%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 58.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 58.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 58.5%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 58.5%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   if 3.39999999999999977e-157 < y < 1.75e-71

   1. Initial program 26.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 39.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 40.5%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if 1.75e-71 < y < 2.2500000000000001e-20

   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 y2 around inf 72.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 51.5%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 43.8%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 43.8%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 43.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if 2.2500000000000001e-20 < y < 6.6000000000000003e177

   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 b around inf 39.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in x around inf 40.4%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]

   if 6.6000000000000003e177 < y

   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 43.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 42.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 42.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.5 \cdot 10^{+111}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.7 \cdot 10^{-87}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq -2.35 \cdot 10^{-179}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.25 \cdot 10^{-250}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.7 \cdot 10^{-264}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 3.4 \cdot 10^{-157}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4 - z \cdot i\right)\right)\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{-71}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 2.25 \cdot 10^{-20}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 6.6 \cdot 10^{+177}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 44: 23.9% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{if}\;y4 \leq -4.15 \cdot 10^{+105}:\\ \;\;\;\;c \cdot \left(t \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -1.46 \cdot 10^{-87}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -3.4 \cdot 10^{-118}:\\ \;\;\;\;\left(t \cdot y2\right) \cdot \left(a \cdot y5\right)\\ \mathbf{elif}\;y4 \leq -6 \cdot 10^{-156}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{-177}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -3.5 \cdot 10^{-230}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq 8.2 \cdot 10^{-286}:\\ \;\;\;\;\left(k \cdot y0\right) \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;y4 \leq 1.45 \cdot 10^{-37}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 3.7 \cdot 10^{+47}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(j \cdot \left(-y4\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* j (- (* t y4) (* x y0))))))
   (if (<= y4 -4.15e+105)
     (* c (* t (* y2 (- y4))))
     (if (<= y4 -1.46e-87)
       t_1
       (if (<= y4 -3.4e-118)
         (* (* t y2) (* a y5))
         (if (<= y4 -6e-156)
           (* b (* k (* z y0)))
           (if (<= y4 -1e-177)
             (* c (* y (* i (- x))))
             (if (<= y4 -3.5e-230)
               (* j (* y1 (* x i)))
               (if (<= y4 8.2e-286)
                 (* (* k y0) (* z b))
                 (if (<= y4 1.45e-37)
                   (* y2 (* t (* a y5)))
                   (if (<= y4 3.7e+47)
                     t_1
                     (* y1 (* y3 (* j (- y4)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y4 <= -4.15e+105) {
		tmp = c * (t * (y2 * -y4));
	} else if (y4 <= -1.46e-87) {
		tmp = t_1;
	} else if (y4 <= -3.4e-118) {
		tmp = (t * y2) * (a * y5);
	} else if (y4 <= -6e-156) {
		tmp = b * (k * (z * y0));
	} else if (y4 <= -1e-177) {
		tmp = c * (y * (i * -x));
	} else if (y4 <= -3.5e-230) {
		tmp = j * (y1 * (x * i));
	} else if (y4 <= 8.2e-286) {
		tmp = (k * y0) * (z * b);
	} else if (y4 <= 1.45e-37) {
		tmp = y2 * (t * (a * y5));
	} else if (y4 <= 3.7e+47) {
		tmp = t_1;
	} else {
		tmp = y1 * (y3 * (j * -y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (j * ((t * y4) - (x * y0)))
    if (y4 <= (-4.15d+105)) then
        tmp = c * (t * (y2 * -y4))
    else if (y4 <= (-1.46d-87)) then
        tmp = t_1
    else if (y4 <= (-3.4d-118)) then
        tmp = (t * y2) * (a * y5)
    else if (y4 <= (-6d-156)) then
        tmp = b * (k * (z * y0))
    else if (y4 <= (-1d-177)) then
        tmp = c * (y * (i * -x))
    else if (y4 <= (-3.5d-230)) then
        tmp = j * (y1 * (x * i))
    else if (y4 <= 8.2d-286) then
        tmp = (k * y0) * (z * b)
    else if (y4 <= 1.45d-37) then
        tmp = y2 * (t * (a * y5))
    else if (y4 <= 3.7d+47) then
        tmp = t_1
    else
        tmp = y1 * (y3 * (j * -y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (j * ((t * y4) - (x * y0)));
	double tmp;
	if (y4 <= -4.15e+105) {
		tmp = c * (t * (y2 * -y4));
	} else if (y4 <= -1.46e-87) {
		tmp = t_1;
	} else if (y4 <= -3.4e-118) {
		tmp = (t * y2) * (a * y5);
	} else if (y4 <= -6e-156) {
		tmp = b * (k * (z * y0));
	} else if (y4 <= -1e-177) {
		tmp = c * (y * (i * -x));
	} else if (y4 <= -3.5e-230) {
		tmp = j * (y1 * (x * i));
	} else if (y4 <= 8.2e-286) {
		tmp = (k * y0) * (z * b);
	} else if (y4 <= 1.45e-37) {
		tmp = y2 * (t * (a * y5));
	} else if (y4 <= 3.7e+47) {
		tmp = t_1;
	} else {
		tmp = y1 * (y3 * (j * -y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (j * ((t * y4) - (x * y0)))
	tmp = 0
	if y4 <= -4.15e+105:
		tmp = c * (t * (y2 * -y4))
	elif y4 <= -1.46e-87:
		tmp = t_1
	elif y4 <= -3.4e-118:
		tmp = (t * y2) * (a * y5)
	elif y4 <= -6e-156:
		tmp = b * (k * (z * y0))
	elif y4 <= -1e-177:
		tmp = c * (y * (i * -x))
	elif y4 <= -3.5e-230:
		tmp = j * (y1 * (x * i))
	elif y4 <= 8.2e-286:
		tmp = (k * y0) * (z * b)
	elif y4 <= 1.45e-37:
		tmp = y2 * (t * (a * y5))
	elif y4 <= 3.7e+47:
		tmp = t_1
	else:
		tmp = y1 * (y3 * (j * -y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))))
	tmp = 0.0
	if (y4 <= -4.15e+105)
		tmp = Float64(c * Float64(t * Float64(y2 * Float64(-y4))));
	elseif (y4 <= -1.46e-87)
		tmp = t_1;
	elseif (y4 <= -3.4e-118)
		tmp = Float64(Float64(t * y2) * Float64(a * y5));
	elseif (y4 <= -6e-156)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (y4 <= -1e-177)
		tmp = Float64(c * Float64(y * Float64(i * Float64(-x))));
	elseif (y4 <= -3.5e-230)
		tmp = Float64(j * Float64(y1 * Float64(x * i)));
	elseif (y4 <= 8.2e-286)
		tmp = Float64(Float64(k * y0) * Float64(z * b));
	elseif (y4 <= 1.45e-37)
		tmp = Float64(y2 * Float64(t * Float64(a * y5)));
	elseif (y4 <= 3.7e+47)
		tmp = t_1;
	else
		tmp = Float64(y1 * Float64(y3 * Float64(j * Float64(-y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (j * ((t * y4) - (x * y0)));
	tmp = 0.0;
	if (y4 <= -4.15e+105)
		tmp = c * (t * (y2 * -y4));
	elseif (y4 <= -1.46e-87)
		tmp = t_1;
	elseif (y4 <= -3.4e-118)
		tmp = (t * y2) * (a * y5);
	elseif (y4 <= -6e-156)
		tmp = b * (k * (z * y0));
	elseif (y4 <= -1e-177)
		tmp = c * (y * (i * -x));
	elseif (y4 <= -3.5e-230)
		tmp = j * (y1 * (x * i));
	elseif (y4 <= 8.2e-286)
		tmp = (k * y0) * (z * b);
	elseif (y4 <= 1.45e-37)
		tmp = y2 * (t * (a * y5));
	elseif (y4 <= 3.7e+47)
		tmp = t_1;
	else
		tmp = y1 * (y3 * (j * -y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -4.15e+105], N[(c * N[(t * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.46e-87], t$95$1, If[LessEqual[y4, -3.4e-118], N[(N[(t * y2), $MachinePrecision] * N[(a * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -6e-156], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1e-177], N[(c * N[(y * N[(i * (-x)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.5e-230], N[(j * N[(y1 * N[(x * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 8.2e-286], N[(N[(k * y0), $MachinePrecision] * N[(z * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.45e-37], N[(y2 * N[(t * N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.7e+47], t$95$1, N[(y1 * N[(y3 * N[(j * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -4.15e105

   1. Initial program 17.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 54.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 33.3%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around 0 35.6%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 35.6%

         \[\leadsto \color{blue}{\left(-1 \cdot c\right) \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)} \]

      2. neg-mul-1 35.6%

         \[\leadsto \color{blue}{\left(-c\right)} \cdot \left(t \cdot \left(y2 \cdot y4\right)\right) \]

      3. *-commutative 35.6%

         \[\leadsto \left(-c\right) \cdot \color{blue}{\left(\left(y2 \cdot y4\right) \cdot t\right)} \]

   7. Simplified 35.6%

      \[\leadsto \color{blue}{\left(-c\right) \cdot \left(\left(y2 \cdot y4\right) \cdot t\right)} \]

   if -4.15e105 < y4 < -1.4599999999999999e-87 or 1.45000000000000002e-37 < y4 < 3.70000000000000041e47

   1. Initial program 27.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 43.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 39.8%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if -1.4599999999999999e-87 < y4 < -3.39999999999999991e-118

   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 y2 around inf 29.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 43.4%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 30.4%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(a \cdot y5\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 30.4%

         \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   7. Simplified 30.4%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]
   8. Step-by-step derivation

      1. pow1 30.4%

         \[\leadsto \color{blue}{{\left(y2 \cdot \left(t \cdot \left(y5 \cdot a\right)\right)\right)}^{1}} \]

      2. associate-*r* 43.4%

         \[\leadsto {\color{blue}{\left(\left(y2 \cdot t\right) \cdot \left(y5 \cdot a\right)\right)}}^{1} \]

      3. *-commutative 43.4%

         \[\leadsto {\left(\left(y2 \cdot t\right) \cdot \color{blue}{\left(a \cdot y5\right)}\right)}^{1} \]

   9. Applied egg-rr 43.4%

      \[\leadsto \color{blue}{{\left(\left(y2 \cdot t\right) \cdot \left(a \cdot y5\right)\right)}^{1}} \]
   10. Step-by-step derivation

       1. unpow1 43.4%

          \[\leadsto \color{blue}{\left(y2 \cdot t\right) \cdot \left(a \cdot y5\right)} \]

       2. *-commutative 43.4%

          \[\leadsto \color{blue}{\left(a \cdot y5\right) \cdot \left(y2 \cdot t\right)} \]

       3. *-commutative 43.4%

          \[\leadsto \left(a \cdot y5\right) \cdot \color{blue}{\left(t \cdot y2\right)} \]

   11. Simplified 43.4%

       \[\leadsto \color{blue}{\left(a \cdot y5\right) \cdot \left(t \cdot y2\right)} \]

   if -3.39999999999999991e-118 < y4 < -6e-156

   1. Initial program 10.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 50.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 50.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 50.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 50.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 50.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 50.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 50.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 50.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 50.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 60.6%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 60.6%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 60.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 60.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 60.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 60.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 60.6%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 50.5%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if -6e-156 < y4 < -9.99999999999999952e-178

   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 y around inf 83.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 83.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 83.3%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 83.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 83.3%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 83.3%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 83.3%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 83.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 83.3%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in c around inf 83.5%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 83.5%

         \[\leadsto \color{blue}{-c \cdot \left(i \cdot \left(x \cdot y\right)\right)} \]

      2. distribute-rgt-neg-in 83.5%

         \[\leadsto \color{blue}{c \cdot \left(-i \cdot \left(x \cdot y\right)\right)} \]

      3. associate-*r* 83.5%

         \[\leadsto c \cdot \left(-\color{blue}{\left(i \cdot x\right) \cdot y}\right) \]

      4. distribute-lft-neg-in 83.5%

         \[\leadsto c \cdot \color{blue}{\left(\left(-i \cdot x\right) \cdot y\right)} \]

      5. *-commutative 83.5%

         \[\leadsto c \cdot \left(\left(-\color{blue}{x \cdot i}\right) \cdot y\right) \]

      6. distribute-rgt-neg-in 83.5%

         \[\leadsto c \cdot \left(\color{blue}{\left(x \cdot \left(-i\right)\right)} \cdot y\right) \]

   9. Simplified 83.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot \left(-i\right)\right) \cdot y\right)} \]

   if -9.99999999999999952e-178 < y4 < -3.49999999999999988e-230

   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 51.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 50.9%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 34.6%

      \[\leadsto j \cdot \color{blue}{\left(i \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 39.9%

         \[\leadsto j \cdot \color{blue}{\left(\left(i \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 39.9%

         \[\leadsto j \cdot \left(\color{blue}{\left(x \cdot i\right)} \cdot y1\right) \]

   7. Simplified 39.9%

      \[\leadsto j \cdot \color{blue}{\left(\left(x \cdot i\right) \cdot y1\right)} \]

   if -3.49999999999999988e-230 < y4 < 8.2e-286

   1. Initial program 56.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 62.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 62.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 62.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 62.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 62.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 62.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 62.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 62.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 62.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 48.9%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 44.3%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 44.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 44.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 44.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 44.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 44.3%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 39.6%

      \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z\right)} \]

   if 8.2e-286 < y4 < 1.45000000000000002e-37

   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 y2 around inf 43.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 38.3%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 34.6%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(a \cdot y5\right)}\right) \]
   6. Step-by-step derivation

      1. *-commutative 34.6%

         \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   7. Simplified 34.6%

      \[\leadsto y2 \cdot \left(t \cdot \color{blue}{\left(y5 \cdot a\right)}\right) \]

   if 3.70000000000000041e47 < y4

   1. Initial program 17.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 39.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y1 around inf 48.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 48.5%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right)\right) \]

      2. mul-1-neg 48.5%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right)\right) \]

      3. unsub-neg 48.5%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right)\right) \]

   6. Simplified 48.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 - a \cdot z\right)\right)\right)} \]

   7. Taylor expanded in j around inf 45.1%

      \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4\right)}\right)\right) \]
3. Recombined 9 regimes into one program.

4. Final simplification 40.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -4.15 \cdot 10^{+105}:\\ \;\;\;\;c \cdot \left(t \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -1.46 \cdot 10^{-87}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq -3.4 \cdot 10^{-118}:\\ \;\;\;\;\left(t \cdot y2\right) \cdot \left(a \cdot y5\right)\\ \mathbf{elif}\;y4 \leq -6 \cdot 10^{-156}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq -1 \cdot 10^{-177}:\\ \;\;\;\;c \cdot \left(y \cdot \left(i \cdot \left(-x\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -3.5 \cdot 10^{-230}:\\ \;\;\;\;j \cdot \left(y1 \cdot \left(x \cdot i\right)\right)\\ \mathbf{elif}\;y4 \leq 8.2 \cdot 10^{-286}:\\ \;\;\;\;\left(k \cdot y0\right) \cdot \left(z \cdot b\right)\\ \mathbf{elif}\;y4 \leq 1.45 \cdot 10^{-37}:\\ \;\;\;\;y2 \cdot \left(t \cdot \left(a \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 3.7 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(j \cdot \left(-y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 45: 21.9% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{if}\;t \leq -4 \cdot 10^{+191}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{+94}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(t \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;t \leq -2.9 \cdot 10^{-146}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -2.55 \cdot 10^{-226}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -7.4 \cdot 10^{-255}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 6.6 \cdot 10^{-103}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 8.8 \cdot 10^{+56}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{+266}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{+292}:\\ \;\;\;\;\left(-b\right) \cdot \left(y0 \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y2 (* a (* t y5)))))
   (if (<= t -4e+191)
     t_1
     (if (<= t -1.15e+94)
       (* c (* y4 (* t (- y2))))
       (if (<= t -2.9e-146)
         (* z (* b (* k y0)))
         (if (<= t -2.55e-226)
           (* y0 (* j (* y3 y5)))
           (if (<= t -7.4e-255)
             (* y1 (* y2 (* k y4)))
             (if (<= t 6.6e-103)
               (* a (* x (* y b)))
               (if (<= t 8.8e+56)
                 (* b (* k (* z y0)))
                 (if (<= t 7.5e+266)
                   t_1
                   (if (<= t 6.2e+292)
                     (* (- b) (* y0 (* x j)))
                     (* b (* y4 (* t 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 = y2 * (a * (t * y5));
	double tmp;
	if (t <= -4e+191) {
		tmp = t_1;
	} else if (t <= -1.15e+94) {
		tmp = c * (y4 * (t * -y2));
	} else if (t <= -2.9e-146) {
		tmp = z * (b * (k * y0));
	} else if (t <= -2.55e-226) {
		tmp = y0 * (j * (y3 * y5));
	} else if (t <= -7.4e-255) {
		tmp = y1 * (y2 * (k * y4));
	} else if (t <= 6.6e-103) {
		tmp = a * (x * (y * b));
	} else if (t <= 8.8e+56) {
		tmp = b * (k * (z * y0));
	} else if (t <= 7.5e+266) {
		tmp = t_1;
	} else if (t <= 6.2e+292) {
		tmp = -b * (y0 * (x * j));
	} else {
		tmp = b * (y4 * (t * 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) :: tmp
    t_1 = y2 * (a * (t * y5))
    if (t <= (-4d+191)) then
        tmp = t_1
    else if (t <= (-1.15d+94)) then
        tmp = c * (y4 * (t * -y2))
    else if (t <= (-2.9d-146)) then
        tmp = z * (b * (k * y0))
    else if (t <= (-2.55d-226)) then
        tmp = y0 * (j * (y3 * y5))
    else if (t <= (-7.4d-255)) then
        tmp = y1 * (y2 * (k * y4))
    else if (t <= 6.6d-103) then
        tmp = a * (x * (y * b))
    else if (t <= 8.8d+56) then
        tmp = b * (k * (z * y0))
    else if (t <= 7.5d+266) then
        tmp = t_1
    else if (t <= 6.2d+292) then
        tmp = -b * (y0 * (x * j))
    else
        tmp = b * (y4 * (t * 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 = y2 * (a * (t * y5));
	double tmp;
	if (t <= -4e+191) {
		tmp = t_1;
	} else if (t <= -1.15e+94) {
		tmp = c * (y4 * (t * -y2));
	} else if (t <= -2.9e-146) {
		tmp = z * (b * (k * y0));
	} else if (t <= -2.55e-226) {
		tmp = y0 * (j * (y3 * y5));
	} else if (t <= -7.4e-255) {
		tmp = y1 * (y2 * (k * y4));
	} else if (t <= 6.6e-103) {
		tmp = a * (x * (y * b));
	} else if (t <= 8.8e+56) {
		tmp = b * (k * (z * y0));
	} else if (t <= 7.5e+266) {
		tmp = t_1;
	} else if (t <= 6.2e+292) {
		tmp = -b * (y0 * (x * j));
	} else {
		tmp = b * (y4 * (t * j));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y2 * (a * (t * y5))
	tmp = 0
	if t <= -4e+191:
		tmp = t_1
	elif t <= -1.15e+94:
		tmp = c * (y4 * (t * -y2))
	elif t <= -2.9e-146:
		tmp = z * (b * (k * y0))
	elif t <= -2.55e-226:
		tmp = y0 * (j * (y3 * y5))
	elif t <= -7.4e-255:
		tmp = y1 * (y2 * (k * y4))
	elif t <= 6.6e-103:
		tmp = a * (x * (y * b))
	elif t <= 8.8e+56:
		tmp = b * (k * (z * y0))
	elif t <= 7.5e+266:
		tmp = t_1
	elif t <= 6.2e+292:
		tmp = -b * (y0 * (x * j))
	else:
		tmp = b * (y4 * (t * 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(y2 * Float64(a * Float64(t * y5)))
	tmp = 0.0
	if (t <= -4e+191)
		tmp = t_1;
	elseif (t <= -1.15e+94)
		tmp = Float64(c * Float64(y4 * Float64(t * Float64(-y2))));
	elseif (t <= -2.9e-146)
		tmp = Float64(z * Float64(b * Float64(k * y0)));
	elseif (t <= -2.55e-226)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (t <= -7.4e-255)
		tmp = Float64(y1 * Float64(y2 * Float64(k * y4)));
	elseif (t <= 6.6e-103)
		tmp = Float64(a * Float64(x * Float64(y * b)));
	elseif (t <= 8.8e+56)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (t <= 7.5e+266)
		tmp = t_1;
	elseif (t <= 6.2e+292)
		tmp = Float64(Float64(-b) * Float64(y0 * Float64(x * j)));
	else
		tmp = Float64(b * Float64(y4 * Float64(t * 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 = y2 * (a * (t * y5));
	tmp = 0.0;
	if (t <= -4e+191)
		tmp = t_1;
	elseif (t <= -1.15e+94)
		tmp = c * (y4 * (t * -y2));
	elseif (t <= -2.9e-146)
		tmp = z * (b * (k * y0));
	elseif (t <= -2.55e-226)
		tmp = y0 * (j * (y3 * y5));
	elseif (t <= -7.4e-255)
		tmp = y1 * (y2 * (k * y4));
	elseif (t <= 6.6e-103)
		tmp = a * (x * (y * b));
	elseif (t <= 8.8e+56)
		tmp = b * (k * (z * y0));
	elseif (t <= 7.5e+266)
		tmp = t_1;
	elseif (t <= 6.2e+292)
		tmp = -b * (y0 * (x * j));
	else
		tmp = b * (y4 * (t * 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[(y2 * N[(a * N[(t * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -4e+191], t$95$1, If[LessEqual[t, -1.15e+94], N[(c * N[(y4 * N[(t * (-y2)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -2.9e-146], N[(z * N[(b * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -2.55e-226], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -7.4e-255], N[(y1 * N[(y2 * N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 6.6e-103], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 8.8e+56], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 7.5e+266], t$95$1, If[LessEqual[t, 6.2e+292], N[((-b) * N[(y0 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if t < -4.00000000000000029e191 or 8.80000000000000063e56 < t < 7.4999999999999998e266

   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 y2 around inf 53.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 48.6%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 42.1%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(t \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 42.1%

         \[\leadsto y2 \cdot \left(a \cdot \color{blue}{\left(y5 \cdot t\right)}\right) \]

   7. Simplified 42.1%

      \[\leadsto y2 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot t\right)\right)} \]

   if -4.00000000000000029e191 < t < -1.15e94

   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 y2 around inf 42.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 58.5%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around 0 48.4%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 48.4%

         \[\leadsto \color{blue}{-c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 48.4%

         \[\leadsto \color{blue}{c \cdot \left(-t \cdot \left(y2 \cdot y4\right)\right)} \]

      3. associate-*r* 53.5%

         \[\leadsto c \cdot \left(-\color{blue}{\left(t \cdot y2\right) \cdot y4}\right) \]

      4. distribute-rgt-neg-in 53.5%

         \[\leadsto c \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot \left(-y4\right)\right)} \]

      5. *-commutative 53.5%

         \[\leadsto c \cdot \left(\color{blue}{\left(y2 \cdot t\right)} \cdot \left(-y4\right)\right) \]

   7. Simplified 53.5%

      \[\leadsto \color{blue}{c \cdot \left(\left(y2 \cdot t\right) \cdot \left(-y4\right)\right)} \]

   if -1.15e94 < t < -2.90000000000000011e-146

   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 y0 around inf 35.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 35.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 35.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 35.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 35.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 35.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 35.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 35.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 35.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 31.3%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 26.6%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 26.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 26.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 26.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 26.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 26.6%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 26.8%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. pow1 26.8%

          \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]

   11. Applied egg-rr 26.8%

       \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]
   12. Step-by-step derivation

       1. unpow1 26.8%

          \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

       2. associate-*r* 29.2%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       3. associate-*r* 31.4%

          \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   13. Simplified 31.4%

       \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   if -2.90000000000000011e-146 < t < -2.54999999999999987e-226

   1. Initial program 35.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 39.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 39.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 39.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 39.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 39.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 39.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 39.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 39.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 39.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 34.4%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around inf 36.4%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 36.4%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y5 \cdot y3\right)}\right) \]

   9. Simplified 36.4%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y5 \cdot y3\right)\right)} \]

   if -2.54999999999999987e-226 < t < -7.4000000000000003e-255

   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 y2 around inf 50.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y1 around inf 50.5%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 50.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 50.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 50.5%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   6. Simplified 50.5%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   7. Taylor expanded in k around inf 50.6%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4\right)}\right) \]
   8. Step-by-step derivation

      1. *-commutative 50.6%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]

   9. Simplified 50.6%

      \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(y4 \cdot k\right)}\right) \]

   if -7.4000000000000003e-255 < t < 6.59999999999999979e-103

   1. Initial program 37.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 42.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 36.0%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 36.0%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 36.0%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 36.0%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 36.0%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 25.7%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if 6.59999999999999979e-103 < t < 8.80000000000000063e56

   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 y0 around inf 43.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 43.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 43.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 43.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 43.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 43.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 43.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 43.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 43.9%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 35.4%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 35.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 35.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 35.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 35.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 35.4%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 24.4%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if 7.4999999999999998e266 < t < 6.20000000000000035e292

   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 x around inf 41.9%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 43.2%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around 0 51.6%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(j \cdot \left(x \cdot y0\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 51.6%

         \[\leadsto \color{blue}{-b \cdot \left(j \cdot \left(x \cdot y0\right)\right)} \]

      2. distribute-rgt-neg-in 51.6%

         \[\leadsto \color{blue}{b \cdot \left(-j \cdot \left(x \cdot y0\right)\right)} \]

      3. associate-*r* 59.7%

         \[\leadsto b \cdot \left(-\color{blue}{\left(j \cdot x\right) \cdot y0}\right) \]

      4. distribute-rgt-neg-in 59.7%

         \[\leadsto b \cdot \color{blue}{\left(\left(j \cdot x\right) \cdot \left(-y0\right)\right)} \]

      5. *-commutative 59.7%

         \[\leadsto b \cdot \left(\color{blue}{\left(x \cdot j\right)} \cdot \left(-y0\right)\right) \]

   7. Simplified 59.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(x \cdot j\right) \cdot \left(-y0\right)\right)} \]

   if 6.20000000000000035e292 < t

   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 b around inf 33.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 100.0%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(j \cdot t\right)}\right) \]
3. Recombined 9 regimes into one program.

4. Final simplification 37.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -4 \cdot 10^{+191}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -1.15 \cdot 10^{+94}:\\ \;\;\;\;c \cdot \left(y4 \cdot \left(t \cdot \left(-y2\right)\right)\right)\\ \mathbf{elif}\;t \leq -2.9 \cdot 10^{-146}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq -2.55 \cdot 10^{-226}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq -7.4 \cdot 10^{-255}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 6.6 \cdot 10^{-103}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;t \leq 8.8 \cdot 10^{+56}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;t \leq 7.5 \cdot 10^{+266}:\\ \;\;\;\;y2 \cdot \left(a \cdot \left(t \cdot y5\right)\right)\\ \mathbf{elif}\;t \leq 6.2 \cdot 10^{+292}:\\ \;\;\;\;\left(-b\right) \cdot \left(y0 \cdot \left(x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 46: 21.6% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{if}\;i \leq -5.6 \cdot 10^{+170}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq -4.3 \cdot 10^{+70}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -1.4 \cdot 10^{-52}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -3 \cdot 10^{-64}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -3.7 \cdot 10^{-147}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -3.6 \cdot 10^{-268}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;i \leq 1.85 \cdot 10^{+58}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 9.5 \cdot 10^{+132}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* x (* i y1)))))
   (if (<= i -5.6e+170)
     t_1
     (if (<= i -4.3e+70)
       (* a (* t (* y2 y5)))
       (if (<= i -1.4e-52)
         (* b (* k (* z y0)))
         (if (<= i -3e-64)
           (* i (* k (* y y5)))
           (if (<= i -3.7e-147)
             (* b (* y4 (* t j)))
             (if (<= i -3.6e-268)
               (* a (* (* x y) b))
               (if (<= i 1.85e+58)
                 (* b (* z (* k y0)))
                 (if (<= i 9.5e+132) (* a (* x (* y b))) t_1))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * (i * y1));
	double tmp;
	if (i <= -5.6e+170) {
		tmp = t_1;
	} else if (i <= -4.3e+70) {
		tmp = a * (t * (y2 * y5));
	} else if (i <= -1.4e-52) {
		tmp = b * (k * (z * y0));
	} else if (i <= -3e-64) {
		tmp = i * (k * (y * y5));
	} else if (i <= -3.7e-147) {
		tmp = b * (y4 * (t * j));
	} else if (i <= -3.6e-268) {
		tmp = a * ((x * y) * b);
	} else if (i <= 1.85e+58) {
		tmp = b * (z * (k * y0));
	} else if (i <= 9.5e+132) {
		tmp = a * (x * (y * b));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = j * (x * (i * y1))
    if (i <= (-5.6d+170)) then
        tmp = t_1
    else if (i <= (-4.3d+70)) then
        tmp = a * (t * (y2 * y5))
    else if (i <= (-1.4d-52)) then
        tmp = b * (k * (z * y0))
    else if (i <= (-3d-64)) then
        tmp = i * (k * (y * y5))
    else if (i <= (-3.7d-147)) then
        tmp = b * (y4 * (t * j))
    else if (i <= (-3.6d-268)) then
        tmp = a * ((x * y) * b)
    else if (i <= 1.85d+58) then
        tmp = b * (z * (k * y0))
    else if (i <= 9.5d+132) then
        tmp = a * (x * (y * b))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (x * (i * y1));
	double tmp;
	if (i <= -5.6e+170) {
		tmp = t_1;
	} else if (i <= -4.3e+70) {
		tmp = a * (t * (y2 * y5));
	} else if (i <= -1.4e-52) {
		tmp = b * (k * (z * y0));
	} else if (i <= -3e-64) {
		tmp = i * (k * (y * y5));
	} else if (i <= -3.7e-147) {
		tmp = b * (y4 * (t * j));
	} else if (i <= -3.6e-268) {
		tmp = a * ((x * y) * b);
	} else if (i <= 1.85e+58) {
		tmp = b * (z * (k * y0));
	} else if (i <= 9.5e+132) {
		tmp = a * (x * (y * b));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (x * (i * y1))
	tmp = 0
	if i <= -5.6e+170:
		tmp = t_1
	elif i <= -4.3e+70:
		tmp = a * (t * (y2 * y5))
	elif i <= -1.4e-52:
		tmp = b * (k * (z * y0))
	elif i <= -3e-64:
		tmp = i * (k * (y * y5))
	elif i <= -3.7e-147:
		tmp = b * (y4 * (t * j))
	elif i <= -3.6e-268:
		tmp = a * ((x * y) * b)
	elif i <= 1.85e+58:
		tmp = b * (z * (k * y0))
	elif i <= 9.5e+132:
		tmp = a * (x * (y * b))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(x * Float64(i * y1)))
	tmp = 0.0
	if (i <= -5.6e+170)
		tmp = t_1;
	elseif (i <= -4.3e+70)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (i <= -1.4e-52)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (i <= -3e-64)
		tmp = Float64(i * Float64(k * Float64(y * y5)));
	elseif (i <= -3.7e-147)
		tmp = Float64(b * Float64(y4 * Float64(t * j)));
	elseif (i <= -3.6e-268)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (i <= 1.85e+58)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	elseif (i <= 9.5e+132)
		tmp = Float64(a * Float64(x * Float64(y * b)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (x * (i * y1));
	tmp = 0.0;
	if (i <= -5.6e+170)
		tmp = t_1;
	elseif (i <= -4.3e+70)
		tmp = a * (t * (y2 * y5));
	elseif (i <= -1.4e-52)
		tmp = b * (k * (z * y0));
	elseif (i <= -3e-64)
		tmp = i * (k * (y * y5));
	elseif (i <= -3.7e-147)
		tmp = b * (y4 * (t * j));
	elseif (i <= -3.6e-268)
		tmp = a * ((x * y) * b);
	elseif (i <= 1.85e+58)
		tmp = b * (z * (k * y0));
	elseif (i <= 9.5e+132)
		tmp = a * (x * (y * b));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -5.6e+170], t$95$1, If[LessEqual[i, -4.3e+70], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.4e-52], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -3e-64], N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -3.7e-147], N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -3.6e-268], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.85e+58], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 9.5e+132], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if i < -5.6000000000000003e170 or 9.5000000000000005e132 < i

   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 x around inf 43.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 52.3%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 48.3%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]

   if -5.6000000000000003e170 < i < -4.3000000000000001e70

   1. Initial program 22.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 39.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 25.2%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 39.8%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 39.8%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 39.8%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if -4.3000000000000001e70 < i < -1.39999999999999997e-52

   1. Initial program 38.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 52.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 52.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 52.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 52.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 52.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 52.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 52.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 52.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 52.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 22.3%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 19.1%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 19.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 19.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 19.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 19.1%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 19.1%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 22.0%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if -1.39999999999999997e-52 < i < -3.0000000000000001e-64

   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 y around inf 66.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 66.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 66.7%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 66.7%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 66.7%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 66.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 66.7%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 66.7%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 66.7%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in y5 around inf 66.7%

      \[\leadsto \color{blue}{i \cdot \left(k \cdot \left(y \cdot y5\right)\right)} \]

   if -3.0000000000000001e-64 < i < -3.7000000000000002e-147

   1. Initial program 44.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 55.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 45.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 34.1%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(j \cdot t\right)}\right) \]

   if -3.7000000000000002e-147 < i < -3.6000000000000001e-268

   1. Initial program 38.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 40.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 34.9%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 34.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 34.9%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 34.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 34.9%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 29.3%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if -3.6000000000000001e-268 < i < 1.8500000000000001e58

   1. Initial program 27.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 45.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 45.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 45.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 45.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 45.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 45.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 45.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 45.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 45.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 39.8%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 36.4%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 36.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 36.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 36.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 36.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 36.4%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 26.1%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 28.3%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       2. *-commutative 28.3%

          \[\leadsto b \cdot \left(\color{blue}{\left(y0 \cdot k\right)} \cdot z\right) \]

   11. Simplified 28.3%

       \[\leadsto \color{blue}{b \cdot \left(\left(y0 \cdot k\right) \cdot z\right)} \]

   if 1.8500000000000001e58 < i < 9.5000000000000005e132

   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 x around inf 46.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 31.8%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 31.8%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 31.8%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 31.8%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 31.8%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 35.9%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]
3. Recombined 8 regimes into one program.

4. Final simplification 35.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -5.6 \cdot 10^{+170}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq -4.3 \cdot 10^{+70}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -1.4 \cdot 10^{-52}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -3 \cdot 10^{-64}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -3.7 \cdot 10^{-147}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -3.6 \cdot 10^{-268}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;i \leq 1.85 \cdot 10^{+58}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 9.5 \cdot 10^{+132}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 47: 27.6% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y0 \cdot \left(-y2 \cdot y5\right)\right)\\ \mathbf{if}\;y4 \leq -4 \cdot 10^{+222}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.1 \cdot 10^{+184}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq -11200000:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -3.5 \cdot 10^{-17}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 1.35 \cdot 10^{-78}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 2.4 \cdot 10^{-39}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 2.7 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(j \cdot \left(-y4\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (* y0 (- (* y2 y5))))))
   (if (<= y4 -4e+222)
     (* b (* y4 (- (* t j) (* y k))))
     (if (<= y4 -2.1e+184)
       t_1
       (if (<= y4 -11200000.0)
         (* a (* x (- (* y b) (* y1 y2))))
         (if (<= y4 -3.5e-17)
           (* c (* y0 (- (* x y2) (* z y3))))
           (if (<= y4 1.35e-78)
             (* b (* y0 (- (* z k) (* x j))))
             (if (<= y4 2.4e-39)
               t_1
               (if (<= y4 2.7e+47)
                 (* b (* j (- (* t y4) (* x y0))))
                 (* y1 (* y3 (* j (- y4)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y0 * -(y2 * y5));
	double tmp;
	if (y4 <= -4e+222) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y4 <= -2.1e+184) {
		tmp = t_1;
	} else if (y4 <= -11200000.0) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y4 <= -3.5e-17) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y4 <= 1.35e-78) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y4 <= 2.4e-39) {
		tmp = t_1;
	} else if (y4 <= 2.7e+47) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = y1 * (y3 * (j * -y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = k * (y0 * -(y2 * y5))
    if (y4 <= (-4d+222)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y4 <= (-2.1d+184)) then
        tmp = t_1
    else if (y4 <= (-11200000.0d0)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (y4 <= (-3.5d-17)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y4 <= 1.35d-78) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y4 <= 2.4d-39) then
        tmp = t_1
    else if (y4 <= 2.7d+47) then
        tmp = b * (j * ((t * y4) - (x * y0)))
    else
        tmp = y1 * (y3 * (j * -y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = k * (y0 * -(y2 * y5));
	double tmp;
	if (y4 <= -4e+222) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y4 <= -2.1e+184) {
		tmp = t_1;
	} else if (y4 <= -11200000.0) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (y4 <= -3.5e-17) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y4 <= 1.35e-78) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y4 <= 2.4e-39) {
		tmp = t_1;
	} else if (y4 <= 2.7e+47) {
		tmp = b * (j * ((t * y4) - (x * y0)));
	} else {
		tmp = y1 * (y3 * (j * -y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = k * (y0 * -(y2 * y5))
	tmp = 0
	if y4 <= -4e+222:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y4 <= -2.1e+184:
		tmp = t_1
	elif y4 <= -11200000.0:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif y4 <= -3.5e-17:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y4 <= 1.35e-78:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y4 <= 2.4e-39:
		tmp = t_1
	elif y4 <= 2.7e+47:
		tmp = b * (j * ((t * y4) - (x * y0)))
	else:
		tmp = y1 * (y3 * (j * -y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(k * Float64(y0 * Float64(-Float64(y2 * y5))))
	tmp = 0.0
	if (y4 <= -4e+222)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y4 <= -2.1e+184)
		tmp = t_1;
	elseif (y4 <= -11200000.0)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (y4 <= -3.5e-17)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y4 <= 1.35e-78)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y4 <= 2.4e-39)
		tmp = t_1;
	elseif (y4 <= 2.7e+47)
		tmp = Float64(b * Float64(j * Float64(Float64(t * y4) - Float64(x * y0))));
	else
		tmp = Float64(y1 * Float64(y3 * Float64(j * Float64(-y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = k * (y0 * -(y2 * y5));
	tmp = 0.0;
	if (y4 <= -4e+222)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y4 <= -2.1e+184)
		tmp = t_1;
	elseif (y4 <= -11200000.0)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (y4 <= -3.5e-17)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y4 <= 1.35e-78)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y4 <= 2.4e-39)
		tmp = t_1;
	elseif (y4 <= 2.7e+47)
		tmp = b * (j * ((t * y4) - (x * y0)));
	else
		tmp = y1 * (y3 * (j * -y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(k * N[(y0 * (-N[(y2 * y5), $MachinePrecision])), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -4e+222], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.1e+184], t$95$1, If[LessEqual[y4, -11200000.0], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.5e-17], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.35e-78], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 2.4e-39], t$95$1, If[LessEqual[y4, 2.7e+47], N[(b * N[(j * N[(N[(t * y4), $MachinePrecision] - N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y1 * N[(y3 * N[(j * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y4 < -4.0000000000000002e222

   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 b around inf 55.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 56.0%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -4.0000000000000002e222 < y4 < -2.1e184 or 1.34999999999999997e-78 < y4 < 2.40000000000000016e-39

   1. Initial program 38.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 38.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 43.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around 0 47.3%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 47.3%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. neg-mul-1 47.3%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right) \]

      3. *-commutative 47.3%

         \[\leadsto \left(-k\right) \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot y0\right)} \]

      4. *-commutative 47.3%

         \[\leadsto \left(-k\right) \cdot \left(\color{blue}{\left(y5 \cdot y2\right)} \cdot y0\right) \]

   9. Simplified 47.3%

      \[\leadsto \color{blue}{\left(-k\right) \cdot \left(\left(y5 \cdot y2\right) \cdot y0\right)} \]

   if -2.1e184 < y4 < -1.12e7

   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 x around inf 60.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 41.7%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 41.7%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 41.7%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 41.7%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 41.7%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   if -1.12e7 < y4 < -3.5000000000000002e-17

   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 y0 around inf 33.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 33.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 33.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 33.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 33.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in c around inf 68.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 68.2%

         \[\leadsto c \cdot \color{blue}{\left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   8. Simplified 68.2%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot y2 - y3 \cdot z\right) \cdot y0\right)} \]

   if -3.5000000000000002e-17 < y4 < 1.34999999999999997e-78

   1. Initial program 34.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 40.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y0 around inf 35.4%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if 2.40000000000000016e-39 < y4 < 2.69999999999999996e47

   1. Initial program 40.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 45.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in j around inf 36.1%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)} \]

   if 2.69999999999999996e47 < y4

   1. Initial program 17.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 39.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y1 around inf 48.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 48.5%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)}\right)\right) \]

      2. mul-1-neg 48.5%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right)\right)\right) \]

      3. unsub-neg 48.5%

         \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)}\right)\right) \]

   6. Simplified 48.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y1 \cdot \left(y3 \cdot \left(j \cdot y4 - a \cdot z\right)\right)\right)} \]

   7. Taylor expanded in j around inf 45.1%

      \[\leadsto -1 \cdot \left(y1 \cdot \left(y3 \cdot \color{blue}{\left(j \cdot y4\right)}\right)\right) \]
3. Recombined 7 regimes into one program.

4. Final simplification 41.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -4 \cdot 10^{+222}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y4 \leq -2.1 \cdot 10^{+184}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(-y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq -11200000:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -3.5 \cdot 10^{-17}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y4 \leq 1.35 \cdot 10^{-78}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 2.4 \cdot 10^{-39}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(-y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 2.7 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4 - x \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y3 \cdot \left(j \cdot \left(-y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 48: 26.1% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{if}\;y0 \leq -1.6 \cdot 10^{+104}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(-y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq -8.5 \cdot 10^{+56}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq -1.6 \cdot 10^{-148}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y0 \leq -1.95 \cdot 10^{-180}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq 1.8 \cdot 10^{-190}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y0 \leq 2.7 \cdot 10^{-102}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 6.4 \cdot 10^{-8}:\\ \;\;\;\;\left(-c\right) \cdot \left(\left(x \cdot i\right) \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* x (- (* y b) (* y1 y2))))))
   (if (<= y0 -1.6e+104)
     (* k (* y0 (- (* y2 y5))))
     (if (<= y0 -8.5e+56)
       (* j (* x (* i y1)))
       (if (<= y0 -1.6e-148)
         t_1
         (if (<= y0 -1.95e-180)
           (* i (* y1 (* x j)))
           (if (<= y0 1.8e-190)
             t_1
             (if (<= y0 2.7e-102)
               (* k (* y1 (* y2 y4)))
               (if (<= y0 6.4e-8)
                 (* (- c) (* (* x i) y))
                 (* z (* b (* k 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 = a * (x * ((y * b) - (y1 * y2)));
	double tmp;
	if (y0 <= -1.6e+104) {
		tmp = k * (y0 * -(y2 * y5));
	} else if (y0 <= -8.5e+56) {
		tmp = j * (x * (i * y1));
	} else if (y0 <= -1.6e-148) {
		tmp = t_1;
	} else if (y0 <= -1.95e-180) {
		tmp = i * (y1 * (x * j));
	} else if (y0 <= 1.8e-190) {
		tmp = t_1;
	} else if (y0 <= 2.7e-102) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y0 <= 6.4e-8) {
		tmp = -c * ((x * i) * y);
	} else {
		tmp = z * (b * (k * 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 = a * (x * ((y * b) - (y1 * y2)))
    if (y0 <= (-1.6d+104)) then
        tmp = k * (y0 * -(y2 * y5))
    else if (y0 <= (-8.5d+56)) then
        tmp = j * (x * (i * y1))
    else if (y0 <= (-1.6d-148)) then
        tmp = t_1
    else if (y0 <= (-1.95d-180)) then
        tmp = i * (y1 * (x * j))
    else if (y0 <= 1.8d-190) then
        tmp = t_1
    else if (y0 <= 2.7d-102) then
        tmp = k * (y1 * (y2 * y4))
    else if (y0 <= 6.4d-8) then
        tmp = -c * ((x * i) * y)
    else
        tmp = z * (b * (k * 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 = a * (x * ((y * b) - (y1 * y2)));
	double tmp;
	if (y0 <= -1.6e+104) {
		tmp = k * (y0 * -(y2 * y5));
	} else if (y0 <= -8.5e+56) {
		tmp = j * (x * (i * y1));
	} else if (y0 <= -1.6e-148) {
		tmp = t_1;
	} else if (y0 <= -1.95e-180) {
		tmp = i * (y1 * (x * j));
	} else if (y0 <= 1.8e-190) {
		tmp = t_1;
	} else if (y0 <= 2.7e-102) {
		tmp = k * (y1 * (y2 * y4));
	} else if (y0 <= 6.4e-8) {
		tmp = -c * ((x * i) * y);
	} else {
		tmp = z * (b * (k * y0));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (x * ((y * b) - (y1 * y2)))
	tmp = 0
	if y0 <= -1.6e+104:
		tmp = k * (y0 * -(y2 * y5))
	elif y0 <= -8.5e+56:
		tmp = j * (x * (i * y1))
	elif y0 <= -1.6e-148:
		tmp = t_1
	elif y0 <= -1.95e-180:
		tmp = i * (y1 * (x * j))
	elif y0 <= 1.8e-190:
		tmp = t_1
	elif y0 <= 2.7e-102:
		tmp = k * (y1 * (y2 * y4))
	elif y0 <= 6.4e-8:
		tmp = -c * ((x * i) * y)
	else:
		tmp = z * (b * (k * 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(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))))
	tmp = 0.0
	if (y0 <= -1.6e+104)
		tmp = Float64(k * Float64(y0 * Float64(-Float64(y2 * y5))));
	elseif (y0 <= -8.5e+56)
		tmp = Float64(j * Float64(x * Float64(i * y1)));
	elseif (y0 <= -1.6e-148)
		tmp = t_1;
	elseif (y0 <= -1.95e-180)
		tmp = Float64(i * Float64(y1 * Float64(x * j)));
	elseif (y0 <= 1.8e-190)
		tmp = t_1;
	elseif (y0 <= 2.7e-102)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	elseif (y0 <= 6.4e-8)
		tmp = Float64(Float64(-c) * Float64(Float64(x * i) * y));
	else
		tmp = Float64(z * Float64(b * Float64(k * 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 = a * (x * ((y * b) - (y1 * y2)));
	tmp = 0.0;
	if (y0 <= -1.6e+104)
		tmp = k * (y0 * -(y2 * y5));
	elseif (y0 <= -8.5e+56)
		tmp = j * (x * (i * y1));
	elseif (y0 <= -1.6e-148)
		tmp = t_1;
	elseif (y0 <= -1.95e-180)
		tmp = i * (y1 * (x * j));
	elseif (y0 <= 1.8e-190)
		tmp = t_1;
	elseif (y0 <= 2.7e-102)
		tmp = k * (y1 * (y2 * y4));
	elseif (y0 <= 6.4e-8)
		tmp = -c * ((x * i) * y);
	else
		tmp = z * (b * (k * 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[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y0, -1.6e+104], N[(k * N[(y0 * (-N[(y2 * y5), $MachinePrecision])), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -8.5e+56], N[(j * N[(x * N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -1.6e-148], t$95$1, If[LessEqual[y0, -1.95e-180], N[(i * N[(y1 * N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.8e-190], t$95$1, If[LessEqual[y0, 2.7e-102], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 6.4e-8], N[((-c) * N[(N[(x * i), $MachinePrecision] * y), $MachinePrecision]), $MachinePrecision], N[(z * N[(b * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y0 < -1.6e104

   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 y0 around inf 60.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 60.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 60.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 60.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 60.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 60.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in y5 around inf 45.5%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]

   7. Taylor expanded in j around 0 43.0%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 43.0%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. neg-mul-1 43.0%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right) \]

      3. *-commutative 43.0%

         \[\leadsto \left(-k\right) \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot y0\right)} \]

      4. *-commutative 43.0%

         \[\leadsto \left(-k\right) \cdot \left(\color{blue}{\left(y5 \cdot y2\right)} \cdot y0\right) \]

   9. Simplified 43.0%

      \[\leadsto \color{blue}{\left(-k\right) \cdot \left(\left(y5 \cdot y2\right) \cdot y0\right)} \]

   if -1.6e104 < y0 < -8.4999999999999998e56

   1. Initial program 30.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 38.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 61.6%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 38.7%

      \[\leadsto j \cdot \left(x \cdot \color{blue}{\left(i \cdot y1\right)}\right) \]

   if -8.4999999999999998e56 < y0 < -1.59999999999999997e-148 or -1.9500000000000001e-180 < y0 < 1.80000000000000003e-190

   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 x around inf 35.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 33.9%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 33.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 33.9%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 33.9%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 33.9%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   if -1.59999999999999997e-148 < y0 < -1.9500000000000001e-180

   1. Initial program 24.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 50.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 63.1%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 51.2%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 63.2%

         \[\leadsto i \cdot \color{blue}{\left(\left(j \cdot x\right) \cdot y1\right)} \]

      2. *-commutative 63.2%

         \[\leadsto i \cdot \left(\color{blue}{\left(x \cdot j\right)} \cdot y1\right) \]

   7. Simplified 63.2%

      \[\leadsto \color{blue}{i \cdot \left(\left(x \cdot j\right) \cdot y1\right)} \]

   if 1.80000000000000003e-190 < y0 < 2.7e-102

   1. Initial program 9.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in k around inf 37.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(-1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 37.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + -1 \cdot \left(y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      2. mul-1-neg 37.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + \color{blue}{\left(-y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      3. unsub-neg 37.0%

         \[\leadsto k \cdot \left(\color{blue}{\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - y \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      4. *-commutative 37.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot y}\right) - -1 \cdot \left(z \cdot \left(b \cdot y0 - i \cdot y1\right)\right)\right) \]

      5. associate-*r* 37.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-1 \cdot z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)}\right) \]

      6. neg-mul-1 37.0%

         \[\leadsto k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \color{blue}{\left(-z\right)} \cdot \left(b \cdot y0 - i \cdot y1\right)\right) \]

   5. Simplified 37.0%

      \[\leadsto \color{blue}{k \cdot \left(\left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) - \left(b \cdot y4 - i \cdot y5\right) \cdot y\right) - \left(-z\right) \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   6. Taylor expanded in y1 around inf 42.2%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4 - i \cdot z\right)\right)} \]

   7. Taylor expanded in y2 around inf 37.5%

      \[\leadsto k \cdot \color{blue}{\left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]

   if 2.7e-102 < y0 < 6.4000000000000004e-8

   1. Initial program 49.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 34.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 34.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 34.1%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 34.1%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 34.1%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 34.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 34.1%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 34.1%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 39.4%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in c around inf 24.7%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(i \cdot \left(x \cdot y\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 24.7%

         \[\leadsto \color{blue}{-c \cdot \left(i \cdot \left(x \cdot y\right)\right)} \]

      2. distribute-rgt-neg-in 24.7%

         \[\leadsto \color{blue}{c \cdot \left(-i \cdot \left(x \cdot y\right)\right)} \]

      3. associate-*r* 30.1%

         \[\leadsto c \cdot \left(-\color{blue}{\left(i \cdot x\right) \cdot y}\right) \]

      4. distribute-lft-neg-in 30.1%

         \[\leadsto c \cdot \color{blue}{\left(\left(-i \cdot x\right) \cdot y\right)} \]

      5. *-commutative 30.1%

         \[\leadsto c \cdot \left(\left(-\color{blue}{x \cdot i}\right) \cdot y\right) \]

      6. distribute-rgt-neg-in 30.1%

         \[\leadsto c \cdot \left(\color{blue}{\left(x \cdot \left(-i\right)\right)} \cdot y\right) \]

   9. Simplified 30.1%

      \[\leadsto \color{blue}{c \cdot \left(\left(x \cdot \left(-i\right)\right) \cdot y\right)} \]

   if 6.4000000000000004e-8 < y0

   1. Initial program 22.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 47.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 47.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 47.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 43.8%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 38.3%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 38.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 38.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 38.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 38.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 38.3%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 35.2%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. pow1 35.2%

          \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]

   11. Applied egg-rr 35.2%

       \[\leadsto \color{blue}{{\left(b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)\right)}^{1}} \]
   12. Step-by-step derivation

       1. unpow1 35.2%

          \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

       2. associate-*r* 37.9%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       3. associate-*r* 41.9%

          \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]

   13. Simplified 41.9%

       \[\leadsto \color{blue}{\left(b \cdot \left(k \cdot y0\right)\right) \cdot z} \]
3. Recombined 7 regimes into one program.

4. Final simplification 38.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.6 \cdot 10^{+104}:\\ \;\;\;\;k \cdot \left(y0 \cdot \left(-y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y0 \leq -8.5 \cdot 10^{+56}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1\right)\right)\\ \mathbf{elif}\;y0 \leq -1.6 \cdot 10^{-148}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -1.95 \cdot 10^{-180}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq 1.8 \cdot 10^{-190}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 2.7 \cdot 10^{-102}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq 6.4 \cdot 10^{-8}:\\ \;\;\;\;\left(-c\right) \cdot \left(\left(x \cdot i\right) \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;z \cdot \left(b \cdot \left(k \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 49: 21.5% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ t_2 := a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{if}\;b \leq -1.66 \cdot 10^{+72}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-170}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;b \leq 7.8 \cdot 10^{+195}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 3.3 \cdot 10^{+226} \lor \neg \left(b \leq 4.55 \cdot 10^{+226}\right):\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* x (* y b)))) (t_2 (* a (* t (* y2 y5)))))
   (if (<= b -1.66e+72)
     t_1
     (if (<= b 2.8e-170)
       t_2
       (if (<= b 7.8e+195)
         (* b (* k (* z y0)))
         (if (or (<= b 3.3e+226) (not (<= b 4.55e+226))) t_1 t_2))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (x * (y * b));
	double t_2 = a * (t * (y2 * y5));
	double tmp;
	if (b <= -1.66e+72) {
		tmp = t_1;
	} else if (b <= 2.8e-170) {
		tmp = t_2;
	} else if (b <= 7.8e+195) {
		tmp = b * (k * (z * y0));
	} else if ((b <= 3.3e+226) || !(b <= 4.55e+226)) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = a * (x * (y * b))
    t_2 = a * (t * (y2 * y5))
    if (b <= (-1.66d+72)) then
        tmp = t_1
    else if (b <= 2.8d-170) then
        tmp = t_2
    else if (b <= 7.8d+195) then
        tmp = b * (k * (z * y0))
    else if ((b <= 3.3d+226) .or. (.not. (b <= 4.55d+226))) then
        tmp = t_1
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (x * (y * b));
	double t_2 = a * (t * (y2 * y5));
	double tmp;
	if (b <= -1.66e+72) {
		tmp = t_1;
	} else if (b <= 2.8e-170) {
		tmp = t_2;
	} else if (b <= 7.8e+195) {
		tmp = b * (k * (z * y0));
	} else if ((b <= 3.3e+226) || !(b <= 4.55e+226)) {
		tmp = t_1;
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (x * (y * b))
	t_2 = a * (t * (y2 * y5))
	tmp = 0
	if b <= -1.66e+72:
		tmp = t_1
	elif b <= 2.8e-170:
		tmp = t_2
	elif b <= 7.8e+195:
		tmp = b * (k * (z * y0))
	elif (b <= 3.3e+226) or not (b <= 4.55e+226):
		tmp = t_1
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(a * Float64(x * Float64(y * b)))
	t_2 = Float64(a * Float64(t * Float64(y2 * y5)))
	tmp = 0.0
	if (b <= -1.66e+72)
		tmp = t_1;
	elseif (b <= 2.8e-170)
		tmp = t_2;
	elseif (b <= 7.8e+195)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif ((b <= 3.3e+226) || !(b <= 4.55e+226))
		tmp = t_1;
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = a * (x * (y * b));
	t_2 = a * (t * (y2 * y5));
	tmp = 0.0;
	if (b <= -1.66e+72)
		tmp = t_1;
	elseif (b <= 2.8e-170)
		tmp = t_2;
	elseif (b <= 7.8e+195)
		tmp = b * (k * (z * y0));
	elseif ((b <= 3.3e+226) || ~((b <= 4.55e+226)))
		tmp = t_1;
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.66e+72], t$95$1, If[LessEqual[b, 2.8e-170], t$95$2, If[LessEqual[b, 7.8e+195], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[b, 3.3e+226], N[Not[LessEqual[b, 4.55e+226]], $MachinePrecision]], t$95$1, t$95$2]]]]]]

Derivation

1. Split input into 3 regimes

2. if b < -1.6599999999999999e72 or 7.7999999999999995e195 < b < 3.29999999999999978e226 or 4.5499999999999999e226 < b

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 40.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 41.3%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 41.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 41.3%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 41.3%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 41.3%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 39.8%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if -1.6599999999999999e72 < b < 2.79999999999999995e-170 or 3.29999999999999978e226 < b < 4.5499999999999999e226

   1. Initial program 26.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 45.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 26.9%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 19.0%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 19.0%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 19.0%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if 2.79999999999999995e-170 < b < 7.7999999999999995e195

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 37.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 37.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 37.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 37.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 37.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 37.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 37.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 37.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 37.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 29.9%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 28.6%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 28.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 28.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 28.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 28.6%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 28.6%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 27.2%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 26.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.66 \cdot 10^{+72}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;b \leq 2.8 \cdot 10^{-170}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 7.8 \cdot 10^{+195}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;b \leq 3.3 \cdot 10^{+226} \lor \neg \left(b \leq 4.55 \cdot 10^{+226}\right):\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 50: 19.9% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{if}\;i \leq -7.9 \cdot 10^{+180}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq -4.2 \cdot 10^{+131}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -2.3 \cdot 10^{-147}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{-271}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;i \leq 9 \cdot 10^{+87}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* j (* x y1)))))
   (if (<= i -7.9e+180)
     t_1
     (if (<= i -4.2e+131)
       (* a (* t (* y2 y5)))
       (if (<= i -2.3e-147)
         (* b (* k (* z y0)))
         (if (<= i -1.35e-271)
           (* a (* (* x y) b))
           (if (<= i 9e+87) (* b (* z (* k y0))) t_1)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (j * (x * y1));
	double tmp;
	if (i <= -7.9e+180) {
		tmp = t_1;
	} else if (i <= -4.2e+131) {
		tmp = a * (t * (y2 * y5));
	} else if (i <= -2.3e-147) {
		tmp = b * (k * (z * y0));
	} else if (i <= -1.35e-271) {
		tmp = a * ((x * y) * b);
	} else if (i <= 9e+87) {
		tmp = b * (z * (k * y0));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (j * (x * y1))
    if (i <= (-7.9d+180)) then
        tmp = t_1
    else if (i <= (-4.2d+131)) then
        tmp = a * (t * (y2 * y5))
    else if (i <= (-2.3d-147)) then
        tmp = b * (k * (z * y0))
    else if (i <= (-1.35d-271)) then
        tmp = a * ((x * y) * b)
    else if (i <= 9d+87) then
        tmp = b * (z * (k * y0))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (j * (x * y1));
	double tmp;
	if (i <= -7.9e+180) {
		tmp = t_1;
	} else if (i <= -4.2e+131) {
		tmp = a * (t * (y2 * y5));
	} else if (i <= -2.3e-147) {
		tmp = b * (k * (z * y0));
	} else if (i <= -1.35e-271) {
		tmp = a * ((x * y) * b);
	} else if (i <= 9e+87) {
		tmp = b * (z * (k * y0));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (j * (x * y1))
	tmp = 0
	if i <= -7.9e+180:
		tmp = t_1
	elif i <= -4.2e+131:
		tmp = a * (t * (y2 * y5))
	elif i <= -2.3e-147:
		tmp = b * (k * (z * y0))
	elif i <= -1.35e-271:
		tmp = a * ((x * y) * b)
	elif i <= 9e+87:
		tmp = b * (z * (k * y0))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(j * Float64(x * y1)))
	tmp = 0.0
	if (i <= -7.9e+180)
		tmp = t_1;
	elseif (i <= -4.2e+131)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (i <= -2.3e-147)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (i <= -1.35e-271)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (i <= 9e+87)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (j * (x * y1));
	tmp = 0.0;
	if (i <= -7.9e+180)
		tmp = t_1;
	elseif (i <= -4.2e+131)
		tmp = a * (t * (y2 * y5));
	elseif (i <= -2.3e-147)
		tmp = b * (k * (z * y0));
	elseif (i <= -1.35e-271)
		tmp = a * ((x * y) * b);
	elseif (i <= 9e+87)
		tmp = b * (z * (k * y0));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -7.9e+180], t$95$1, If[LessEqual[i, -4.2e+131], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -2.3e-147], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.35e-271], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 9e+87], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if i < -7.90000000000000012e180 or 9.0000000000000005e87 < i

   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 x around inf 48.9%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in j around inf 49.5%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]

   5. Taylor expanded in i around inf 33.1%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]

   if -7.90000000000000012e180 < i < -4.19999999999999971e131

   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 y2 around inf 28.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 18.6%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 28.7%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 28.7%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 28.7%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if -4.19999999999999971e131 < i < -2.2999999999999999e-147

   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 y0 around inf 41.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 41.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 41.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 41.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 41.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 41.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 41.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 41.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 41.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 28.9%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 26.9%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 26.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 26.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 26.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 26.9%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 26.9%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 24.6%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if -2.2999999999999999e-147 < i < -1.3499999999999999e-271

   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 41.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 36.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 36.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 36.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 36.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 36.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 31.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if -1.3499999999999999e-271 < i < 9.0000000000000005e87

   1. Initial program 27.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 38.7%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 36.4%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 36.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 36.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 36.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 36.4%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 36.4%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 26.4%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 28.6%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       2. *-commutative 28.6%

          \[\leadsto b \cdot \left(\color{blue}{\left(y0 \cdot k\right)} \cdot z\right) \]

   11. Simplified 28.6%

       \[\leadsto \color{blue}{b \cdot \left(\left(y0 \cdot k\right) \cdot z\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 29.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -7.9 \cdot 10^{+180}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq -4.2 \cdot 10^{+131}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -2.3 \cdot 10^{-147}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{-271}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;i \leq 9 \cdot 10^{+87}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 51: 19.0% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{if}\;y4 \leq -2.6 \cdot 10^{+22}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -2.65 \cdot 10^{-260}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 3.3 \cdot 10^{-80}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 2.5 \cdot 10^{-59}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y4 \leq 1.32 \cdot 10^{-37}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* t (* y2 y5)))))
   (if (<= y4 -2.6e+22)
     (* a (* x (* y b)))
     (if (<= y4 -2.65e-260)
       (* b (* k (* z y0)))
       (if (<= y4 3.3e-80)
         t_1
         (if (<= y4 2.5e-59)
           (* b (* (* x y) a))
           (if (<= y4 1.32e-37) t_1 (* b (* y4 (* t 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 = a * (t * (y2 * y5));
	double tmp;
	if (y4 <= -2.6e+22) {
		tmp = a * (x * (y * b));
	} else if (y4 <= -2.65e-260) {
		tmp = b * (k * (z * y0));
	} else if (y4 <= 3.3e-80) {
		tmp = t_1;
	} else if (y4 <= 2.5e-59) {
		tmp = b * ((x * y) * a);
	} else if (y4 <= 1.32e-37) {
		tmp = t_1;
	} else {
		tmp = b * (y4 * (t * 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) :: tmp
    t_1 = a * (t * (y2 * y5))
    if (y4 <= (-2.6d+22)) then
        tmp = a * (x * (y * b))
    else if (y4 <= (-2.65d-260)) then
        tmp = b * (k * (z * y0))
    else if (y4 <= 3.3d-80) then
        tmp = t_1
    else if (y4 <= 2.5d-59) then
        tmp = b * ((x * y) * a)
    else if (y4 <= 1.32d-37) then
        tmp = t_1
    else
        tmp = b * (y4 * (t * 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 = a * (t * (y2 * y5));
	double tmp;
	if (y4 <= -2.6e+22) {
		tmp = a * (x * (y * b));
	} else if (y4 <= -2.65e-260) {
		tmp = b * (k * (z * y0));
	} else if (y4 <= 3.3e-80) {
		tmp = t_1;
	} else if (y4 <= 2.5e-59) {
		tmp = b * ((x * y) * a);
	} else if (y4 <= 1.32e-37) {
		tmp = t_1;
	} else {
		tmp = b * (y4 * (t * j));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (t * (y2 * y5))
	tmp = 0
	if y4 <= -2.6e+22:
		tmp = a * (x * (y * b))
	elif y4 <= -2.65e-260:
		tmp = b * (k * (z * y0))
	elif y4 <= 3.3e-80:
		tmp = t_1
	elif y4 <= 2.5e-59:
		tmp = b * ((x * y) * a)
	elif y4 <= 1.32e-37:
		tmp = t_1
	else:
		tmp = b * (y4 * (t * 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(a * Float64(t * Float64(y2 * y5)))
	tmp = 0.0
	if (y4 <= -2.6e+22)
		tmp = Float64(a * Float64(x * Float64(y * b)));
	elseif (y4 <= -2.65e-260)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (y4 <= 3.3e-80)
		tmp = t_1;
	elseif (y4 <= 2.5e-59)
		tmp = Float64(b * Float64(Float64(x * y) * a));
	elseif (y4 <= 1.32e-37)
		tmp = t_1;
	else
		tmp = Float64(b * Float64(y4 * Float64(t * 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 = a * (t * (y2 * y5));
	tmp = 0.0;
	if (y4 <= -2.6e+22)
		tmp = a * (x * (y * b));
	elseif (y4 <= -2.65e-260)
		tmp = b * (k * (z * y0));
	elseif (y4 <= 3.3e-80)
		tmp = t_1;
	elseif (y4 <= 2.5e-59)
		tmp = b * ((x * y) * a);
	elseif (y4 <= 1.32e-37)
		tmp = t_1;
	else
		tmp = b * (y4 * (t * 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[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -2.6e+22], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.65e-260], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 3.3e-80], t$95$1, If[LessEqual[y4, 2.5e-59], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.32e-37], t$95$1, N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y4 < -2.6e22

   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 43.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 37.2%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 37.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 37.2%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 37.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 37.2%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 27.0%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if -2.6e22 < y4 < -2.65e-260

   1. Initial program 30.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 38.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 35.7%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 34.3%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 34.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 34.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 34.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 34.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 34.3%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 28.8%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if -2.65e-260 < y4 < 3.3e-80 or 2.5000000000000001e-59 < y4 < 1.3200000000000001e-37

   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 y2 around inf 45.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 37.1%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 29.3%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 29.3%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 29.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if 3.3e-80 < y4 < 2.5000000000000001e-59

   1. Initial program 85.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y around inf 29.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(-1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 29.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) + -1 \cdot \left(k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      2. mul-1-neg 29.3%

         \[\leadsto y \cdot \left(\left(x \cdot \left(a \cdot b - c \cdot i\right) + \color{blue}{\left(-k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      3. unsub-neg 29.3%

         \[\leadsto y \cdot \left(\color{blue}{\left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      4. *-commutative 29.3%

         \[\leadsto y \cdot \left(\left(\color{blue}{\left(a \cdot b - c \cdot i\right) \cdot x} - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      5. *-commutative 29.3%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \color{blue}{\left(b \cdot y4 - i \cdot y5\right) \cdot k}\right) - -1 \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right) \]

      6. mul-1-neg 29.3%

         \[\leadsto y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \color{blue}{\left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)}\right) \]

   5. Simplified 29.3%

      \[\leadsto \color{blue}{y \cdot \left(\left(\left(a \cdot b - c \cdot i\right) \cdot x - \left(b \cdot y4 - i \cdot y5\right) \cdot k\right) - \left(-y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   6. Taylor expanded in y3 around 0 29.5%

      \[\leadsto \color{blue}{y \cdot \left(x \cdot \left(a \cdot b - c \cdot i\right) - k \cdot \left(b \cdot y4 - i \cdot y5\right)\right)} \]

   7. Taylor expanded in a around inf 15.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 15.7%

         \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

      2. *-commutative 15.7%

         \[\leadsto \left(b \cdot \color{blue}{\left(y \cdot x\right)}\right) \cdot a \]

      3. associate-*l* 15.7%

         \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

   9. Simplified 15.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(y \cdot x\right) \cdot a\right)} \]

   if 1.3200000000000001e-37 < y4

   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 44.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 37.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 23.7%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(j \cdot t\right)}\right) \]
3. Recombined 5 regimes into one program.

4. Final simplification 26.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -2.6 \cdot 10^{+22}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -2.65 \cdot 10^{-260}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 3.3 \cdot 10^{-80}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 2.5 \cdot 10^{-59}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y4 \leq 1.32 \cdot 10^{-37}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 52: 19.0% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{if}\;y4 \leq -1.06 \cdot 10^{+19}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -2.8 \cdot 10^{-269}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 1.05 \cdot 10^{-76}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y4 \leq 1.48 \cdot 10^{-58}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y4 \leq 1.32 \cdot 10^{-37}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* t (* y2 y5)))))
   (if (<= y4 -1.06e+19)
     (* a (* x (* y b)))
     (if (<= y4 -2.8e-269)
       (* b (* k (* z y0)))
       (if (<= y4 1.05e-76)
         t_1
         (if (<= y4 1.48e-58)
           (* a (* (* x y) b))
           (if (<= y4 1.32e-37) t_1 (* b (* y4 (* t 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 = a * (t * (y2 * y5));
	double tmp;
	if (y4 <= -1.06e+19) {
		tmp = a * (x * (y * b));
	} else if (y4 <= -2.8e-269) {
		tmp = b * (k * (z * y0));
	} else if (y4 <= 1.05e-76) {
		tmp = t_1;
	} else if (y4 <= 1.48e-58) {
		tmp = a * ((x * y) * b);
	} else if (y4 <= 1.32e-37) {
		tmp = t_1;
	} else {
		tmp = b * (y4 * (t * 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) :: tmp
    t_1 = a * (t * (y2 * y5))
    if (y4 <= (-1.06d+19)) then
        tmp = a * (x * (y * b))
    else if (y4 <= (-2.8d-269)) then
        tmp = b * (k * (z * y0))
    else if (y4 <= 1.05d-76) then
        tmp = t_1
    else if (y4 <= 1.48d-58) then
        tmp = a * ((x * y) * b)
    else if (y4 <= 1.32d-37) then
        tmp = t_1
    else
        tmp = b * (y4 * (t * 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 = a * (t * (y2 * y5));
	double tmp;
	if (y4 <= -1.06e+19) {
		tmp = a * (x * (y * b));
	} else if (y4 <= -2.8e-269) {
		tmp = b * (k * (z * y0));
	} else if (y4 <= 1.05e-76) {
		tmp = t_1;
	} else if (y4 <= 1.48e-58) {
		tmp = a * ((x * y) * b);
	} else if (y4 <= 1.32e-37) {
		tmp = t_1;
	} else {
		tmp = b * (y4 * (t * j));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (t * (y2 * y5))
	tmp = 0
	if y4 <= -1.06e+19:
		tmp = a * (x * (y * b))
	elif y4 <= -2.8e-269:
		tmp = b * (k * (z * y0))
	elif y4 <= 1.05e-76:
		tmp = t_1
	elif y4 <= 1.48e-58:
		tmp = a * ((x * y) * b)
	elif y4 <= 1.32e-37:
		tmp = t_1
	else:
		tmp = b * (y4 * (t * 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(a * Float64(t * Float64(y2 * y5)))
	tmp = 0.0
	if (y4 <= -1.06e+19)
		tmp = Float64(a * Float64(x * Float64(y * b)));
	elseif (y4 <= -2.8e-269)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (y4 <= 1.05e-76)
		tmp = t_1;
	elseif (y4 <= 1.48e-58)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (y4 <= 1.32e-37)
		tmp = t_1;
	else
		tmp = Float64(b * Float64(y4 * Float64(t * 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 = a * (t * (y2 * y5));
	tmp = 0.0;
	if (y4 <= -1.06e+19)
		tmp = a * (x * (y * b));
	elseif (y4 <= -2.8e-269)
		tmp = b * (k * (z * y0));
	elseif (y4 <= 1.05e-76)
		tmp = t_1;
	elseif (y4 <= 1.48e-58)
		tmp = a * ((x * y) * b);
	elseif (y4 <= 1.32e-37)
		tmp = t_1;
	else
		tmp = b * (y4 * (t * 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[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -1.06e+19], N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -2.8e-269], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.05e-76], t$95$1, If[LessEqual[y4, 1.48e-58], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 1.32e-37], t$95$1, N[(b * N[(y4 * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y4 < -1.06e19

   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 43.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 37.2%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 37.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 37.2%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 37.2%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 37.2%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 27.0%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

   if -1.06e19 < y4 < -2.79999999999999995e-269

   1. Initial program 30.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 38.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 38.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 38.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 35.7%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 34.3%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 34.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 34.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 34.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 34.3%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 34.3%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 28.8%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if -2.79999999999999995e-269 < y4 < 1.04999999999999996e-76 or 1.48e-58 < y4 < 1.3200000000000001e-37

   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 y2 around inf 45.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 37.1%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 29.3%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 29.3%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 29.3%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if 1.04999999999999996e-76 < y4 < 1.48e-58

   1. Initial program 85.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 29.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 29.7%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 29.7%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 29.7%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 29.7%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 29.7%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 15.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if 1.3200000000000001e-37 < y4

   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 44.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 37.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   5. Taylor expanded in j around inf 23.7%

      \[\leadsto b \cdot \left(y4 \cdot \color{blue}{\left(j \cdot t\right)}\right) \]
3. Recombined 5 regimes into one program.

4. Final simplification 26.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -1.06 \cdot 10^{+19}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b\right)\right)\\ \mathbf{elif}\;y4 \leq -2.8 \cdot 10^{-269}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;y4 \leq 1.05 \cdot 10^{-76}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 1.48 \cdot 10^{-58}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y4 \leq 1.32 \cdot 10^{-37}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 53: 16.8% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{if}\;i \leq -2 \cdot 10^{+99}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq -3.8 \cdot 10^{-148}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -1.2 \cdot 10^{-275}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;i \leq 9.2 \cdot 10^{+58}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* t (* y2 y5)))))
   (if (<= i -2e+99)
     t_1
     (if (<= i -3.8e-148)
       (* b (* k (* z y0)))
       (if (<= i -1.2e-275)
         (* a (* (* x y) b))
         (if (<= i 9.2e+58) (* b (* z (* k y0))) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = a * (t * (y2 * y5));
	double tmp;
	if (i <= -2e+99) {
		tmp = t_1;
	} else if (i <= -3.8e-148) {
		tmp = b * (k * (z * y0));
	} else if (i <= -1.2e-275) {
		tmp = a * ((x * y) * b);
	} else if (i <= 9.2e+58) {
		tmp = b * (z * (k * y0));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = a * (t * (y2 * y5))
    if (i <= (-2d+99)) then
        tmp = t_1
    else if (i <= (-3.8d-148)) then
        tmp = b * (k * (z * y0))
    else if (i <= (-1.2d-275)) then
        tmp = a * ((x * y) * b)
    else if (i <= 9.2d+58) then
        tmp = b * (z * (k * y0))
    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 * (t * (y2 * y5));
	double tmp;
	if (i <= -2e+99) {
		tmp = t_1;
	} else if (i <= -3.8e-148) {
		tmp = b * (k * (z * y0));
	} else if (i <= -1.2e-275) {
		tmp = a * ((x * y) * b);
	} else if (i <= 9.2e+58) {
		tmp = b * (z * (k * y0));
	} 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 * (t * (y2 * y5))
	tmp = 0
	if i <= -2e+99:
		tmp = t_1
	elif i <= -3.8e-148:
		tmp = b * (k * (z * y0))
	elif i <= -1.2e-275:
		tmp = a * ((x * y) * b)
	elif i <= 9.2e+58:
		tmp = b * (z * (k * y0))
	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(t * Float64(y2 * y5)))
	tmp = 0.0
	if (i <= -2e+99)
		tmp = t_1;
	elseif (i <= -3.8e-148)
		tmp = Float64(b * Float64(k * Float64(z * y0)));
	elseif (i <= -1.2e-275)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (i <= 9.2e+58)
		tmp = Float64(b * Float64(z * Float64(k * y0)));
	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 * (t * (y2 * y5));
	tmp = 0.0;
	if (i <= -2e+99)
		tmp = t_1;
	elseif (i <= -3.8e-148)
		tmp = b * (k * (z * y0));
	elseif (i <= -1.2e-275)
		tmp = a * ((x * y) * b);
	elseif (i <= 9.2e+58)
		tmp = b * (z * (k * y0));
	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[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -2e+99], t$95$1, If[LessEqual[i, -3.8e-148], N[(b * N[(k * N[(z * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.2e-275], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 9.2e+58], N[(b * N[(z * N[(k * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if i < -1.9999999999999999e99 or 9.2000000000000001e58 < i

   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 y2 around inf 36.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 28.6%

      \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   5. Taylor expanded in a around inf 23.2%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 23.2%

         \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   7. Simplified 23.2%

      \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

   if -1.9999999999999999e99 < i < -3.80000000000000014e-148

   1. Initial program 41.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 43.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 43.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 43.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 28.6%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 26.5%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 26.5%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 26.5%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 26.5%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 26.5%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 26.5%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 26.2%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]

   if -3.80000000000000014e-148 < i < -1.19999999999999995e-275

   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 41.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in a around inf 36.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 36.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

      2. mul-1-neg 36.5%

         \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

      3. unsub-neg 36.5%

         \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

   6. Simplified 36.5%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

   7. Taylor expanded in b around inf 31.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

   if -1.19999999999999995e-275 < i < 9.2000000000000001e58

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y0 around inf 47.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 47.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   5. Simplified 47.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   6. Taylor expanded in k around -inf 40.1%

      \[\leadsto \color{blue}{k \cdot \left(y0 \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. associate-*r* 37.7%

         \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)} \]

      2. +-commutative 37.7%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)} \]

      3. mul-1-neg 37.7%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right) \]

      4. unsub-neg 37.7%

         \[\leadsto \left(k \cdot y0\right) \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)} \]

      5. *-commutative 37.7%

         \[\leadsto \left(k \cdot y0\right) \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right) \]

   8. Simplified 37.7%

      \[\leadsto \color{blue}{\left(k \cdot y0\right) \cdot \left(z \cdot b - y2 \cdot y5\right)} \]

   9. Taylor expanded in z around inf 26.9%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(y0 \cdot z\right)\right)} \]
   10. Step-by-step derivation

       1. associate-*r* 29.3%

          \[\leadsto b \cdot \color{blue}{\left(\left(k \cdot y0\right) \cdot z\right)} \]

       2. *-commutative 29.3%

          \[\leadsto b \cdot \left(\color{blue}{\left(y0 \cdot k\right)} \cdot z\right) \]

   11. Simplified 29.3%

       \[\leadsto \color{blue}{b \cdot \left(\left(y0 \cdot k\right) \cdot z\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 26.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -2 \cdot 10^{+99}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq -3.8 \cdot 10^{-148}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq -1.2 \cdot 10^{-275}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;i \leq 9.2 \cdot 10^{+58}:\\ \;\;\;\;b \cdot \left(z \cdot \left(k \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 54: 17.5% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* 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) {
	return a * (t * (y2 * y5));
}

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 * (t * (y2 * y5))
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 * (t * (y2 * y5));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * (t * (y2 * y5))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(t * Float64(y2 * y5)))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * (t * (y2 * y5));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

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 y2 around inf 40.9%

   \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

4. Taylor expanded in t around inf 29.2%

   \[\leadsto y2 \cdot \color{blue}{\left(t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

5. Taylor expanded in a around inf 19.3%

   \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
6. Step-by-step derivation

   1. *-commutative 19.3%

      \[\leadsto a \cdot \color{blue}{\left(\left(y2 \cdot y5\right) \cdot t\right)} \]

7. Simplified 19.3%

   \[\leadsto \color{blue}{a \cdot \left(\left(y2 \cdot y5\right) \cdot t\right)} \]

8. Final simplification 19.3%

   \[\leadsto a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right) \]
9. Add Preprocessing

Alternative 55: 17.9% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(x \cdot \left(y \cdot b\right)\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* x (* y b))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * (x * (y * b));
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = a * (x * (y * b))
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * (x * (y * b));
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * (x * (y * b))

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(x * Float64(y * b)))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * (x * (y * b));
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(x * N[(y * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 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 x around inf 38.7%

   \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

4. Taylor expanded in a around inf 26.6%

   \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
5. Step-by-step derivation

   1. +-commutative 26.6%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

   2. mul-1-neg 26.6%

      \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

   3. unsub-neg 26.6%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

6. Simplified 26.6%

   \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

7. Taylor expanded in b around inf 17.8%

   \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y\right)}\right) \]

8. Final simplification 17.8%

   \[\leadsto a \cdot \left(x \cdot \left(y \cdot b\right)\right) \]
9. Add Preprocessing

Alternative 56: 17.9% 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 27.9%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
2. Add Preprocessing

3. Taylor expanded in x around inf 38.7%

   \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

4. Taylor expanded in a around inf 26.6%

   \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]
5. Step-by-step derivation

   1. +-commutative 26.6%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y + -1 \cdot \left(y1 \cdot y2\right)\right)}\right) \]

   2. mul-1-neg 26.6%

      \[\leadsto a \cdot \left(x \cdot \left(b \cdot y + \color{blue}{\left(-y1 \cdot y2\right)}\right)\right) \]

   3. unsub-neg 26.6%

      \[\leadsto a \cdot \left(x \cdot \color{blue}{\left(b \cdot y - y1 \cdot y2\right)}\right) \]

6. Simplified 26.6%

   \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(b \cdot y - y1 \cdot y2\right)\right)} \]

7. Taylor expanded in b around inf 16.2%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

8. Final simplification 16.2%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]
9. Add Preprocessing

Developer target: 28.0% 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 2024107 
(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)))))