Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.0% → 39.4%

Time: 2.4min

Alternatives: 37

Speedup: 1.7×

• 89.8% 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: 30.0% 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: 39.4% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot y5 - y1 \cdot y4\\ t_2 := i \cdot y1 - b \cdot y0\\ t_3 := c \cdot y0 - a \cdot y1\\ t_4 := z \cdot t - x \cdot y\\ t_5 := c \cdot i - a \cdot b\\ t_6 := a \cdot y5 - c \cdot y4\\ t_7 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_3\right) + t \cdot t\_6\right)\\ t_8 := z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot t\_3 - t \cdot t\_5\right)\right)\\ t_9 := t \cdot j - y \cdot k\\ t_10 := y5 \cdot \left(y \cdot k - t \cdot j\right)\\ t_11 := i \cdot t\_10\\ t_12 := c \cdot y4 - a \cdot y5\\ \mathbf{if}\;y2 \leq -4.1 \cdot 10^{+195}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -2.05 \cdot 10^{+71}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;y2 \leq -2.7 \cdot 10^{+22}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \mathbf{elif}\;y2 \leq -2.2 \cdot 10^{-48}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;y2 \leq -8 \cdot 10^{-70}:\\ \;\;\;\;b \cdot \left(\left(y4 \cdot t\_9 - a \cdot t\_4\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -5.2 \cdot 10^{-92}:\\ \;\;\;\;t\_11 - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{elif}\;y2 \leq -2.8 \cdot 10^{-255}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot t\_3 - y \cdot t\_5\right) + j \cdot t\_2\right)\\ \mathbf{elif}\;y2 \leq 3.7 \cdot 10^{-196}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{-76}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(t\_10 + c \cdot t\_4\right)\right)\\ \mathbf{elif}\;y2 \leq 195000:\\ \;\;\;\;\left(y \cdot y3\right) \cdot t\_12\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{+25}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot t\_1 + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot t\_2\right)\\ \mathbf{elif}\;y2 \leq 3.1 \cdot 10^{+57}:\\ \;\;\;\;y3 \cdot \left(y \cdot t\_12 + \left(j \cdot t\_1 + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.5 \cdot 10^{+117}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t\_9 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 4.7 \cdot 10^{+184}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;y2 \leq 1.4 \cdot 10^{+209}:\\ \;\;\;\;t\_11\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(y2 \cdot t\_6\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y0 y5) (* y1 y4)))
        (t_2 (- (* i y1) (* b y0)))
        (t_3 (- (* c y0) (* a y1)))
        (t_4 (- (* z t) (* x y)))
        (t_5 (- (* c i) (* a b)))
        (t_6 (- (* a y5) (* c y4)))
        (t_7 (* y2 (+ (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_3)) (* t t_6))))
        (t_8 (* z (- (* k (- (* b y0) (* i y1))) (- (* y3 t_3) (* t t_5)))))
        (t_9 (- (* t j) (* y k)))
        (t_10 (* y5 (- (* y k) (* t j))))
        (t_11 (* i t_10))
        (t_12 (- (* c y4) (* a y5))))
   (if (<= y2 -4.1e+195)
     (* y1 (* y2 (- (* k y4) (* x a))))
     (if (<= y2 -2.05e+71)
       t_7
       (if (<= y2 -2.7e+22)
         (* (* y i) (- (* k y5) (* x c)))
         (if (<= y2 -2.2e-48)
           t_8
           (if (<= y2 -8e-70)
             (* b (+ (- (* y4 t_9) (* a t_4)) (* y0 (- (* z k) (* x j)))))
             (if (<= y2 -5.2e-92)
               (- t_11 (* (* z y1) (* i k)))
               (if (<= y2 -2.8e-255)
                 (* x (+ (- (* y2 t_3) (* y t_5)) (* j t_2)))
                 (if (<= y2 3.7e-196)
                   t_8
                   (if (<= y2 6.2e-76)
                     (* i (+ (* y1 (- (* x j) (* z k))) (+ t_10 (* c t_4))))
                     (if (<= y2 195000.0)
                       (* (* y y3) t_12)
                       (if (<= y2 4e+25)
                         (*
                          j
                          (+
                           (+ (* y3 t_1) (* t (- (* b y4) (* i y5))))
                           (* x t_2)))
                         (if (<= y2 3.1e+57)
                           (*
                            y3
                            (+
                             (* y t_12)
                             (+ (* j t_1) (* z (- (* a y1) (* c y0))))))
                           (if (<= y2 2.5e+117)
                             (*
                              y4
                              (+
                               (+ (* b t_9) (* y1 (- (* k y2) (* j y3))))
                               (* c (- (* y y3) (* t y2)))))
                             (if (<= y2 4.7e+184)
                               t_7
                               (if (<= y2 1.4e+209)
                                 t_11
                                 (* t (* y2 t_6)))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = (i * y1) - (b * y0);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = (z * t) - (x * y);
	double t_5 = (c * i) - (a * b);
	double t_6 = (a * y5) - (c * y4);
	double t_7 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * t_6));
	double t_8 = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_3) - (t * t_5)));
	double t_9 = (t * j) - (y * k);
	double t_10 = y5 * ((y * k) - (t * j));
	double t_11 = i * t_10;
	double t_12 = (c * y4) - (a * y5);
	double tmp;
	if (y2 <= -4.1e+195) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -2.05e+71) {
		tmp = t_7;
	} else if (y2 <= -2.7e+22) {
		tmp = (y * i) * ((k * y5) - (x * c));
	} else if (y2 <= -2.2e-48) {
		tmp = t_8;
	} else if (y2 <= -8e-70) {
		tmp = b * (((y4 * t_9) - (a * t_4)) + (y0 * ((z * k) - (x * j))));
	} else if (y2 <= -5.2e-92) {
		tmp = t_11 - ((z * y1) * (i * k));
	} else if (y2 <= -2.8e-255) {
		tmp = x * (((y2 * t_3) - (y * t_5)) + (j * t_2));
	} else if (y2 <= 3.7e-196) {
		tmp = t_8;
	} else if (y2 <= 6.2e-76) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_10 + (c * t_4)));
	} else if (y2 <= 195000.0) {
		tmp = (y * y3) * t_12;
	} else if (y2 <= 4e+25) {
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * t_2));
	} else if (y2 <= 3.1e+57) {
		tmp = y3 * ((y * t_12) + ((j * t_1) + (z * ((a * y1) - (c * y0)))));
	} else if (y2 <= 2.5e+117) {
		tmp = y4 * (((b * t_9) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (y2 <= 4.7e+184) {
		tmp = t_7;
	} else if (y2 <= 1.4e+209) {
		tmp = t_11;
	} else {
		tmp = t * (y2 * t_6);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y0 * y5) - (y1 * y4)
    t_2 = (i * y1) - (b * y0)
    t_3 = (c * y0) - (a * y1)
    t_4 = (z * t) - (x * y)
    t_5 = (c * i) - (a * b)
    t_6 = (a * y5) - (c * y4)
    t_7 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * t_6))
    t_8 = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_3) - (t * t_5)))
    t_9 = (t * j) - (y * k)
    t_10 = y5 * ((y * k) - (t * j))
    t_11 = i * t_10
    t_12 = (c * y4) - (a * y5)
    if (y2 <= (-4.1d+195)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y2 <= (-2.05d+71)) then
        tmp = t_7
    else if (y2 <= (-2.7d+22)) then
        tmp = (y * i) * ((k * y5) - (x * c))
    else if (y2 <= (-2.2d-48)) then
        tmp = t_8
    else if (y2 <= (-8d-70)) then
        tmp = b * (((y4 * t_9) - (a * t_4)) + (y0 * ((z * k) - (x * j))))
    else if (y2 <= (-5.2d-92)) then
        tmp = t_11 - ((z * y1) * (i * k))
    else if (y2 <= (-2.8d-255)) then
        tmp = x * (((y2 * t_3) - (y * t_5)) + (j * t_2))
    else if (y2 <= 3.7d-196) then
        tmp = t_8
    else if (y2 <= 6.2d-76) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + (t_10 + (c * t_4)))
    else if (y2 <= 195000.0d0) then
        tmp = (y * y3) * t_12
    else if (y2 <= 4d+25) then
        tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * t_2))
    else if (y2 <= 3.1d+57) then
        tmp = y3 * ((y * t_12) + ((j * t_1) + (z * ((a * y1) - (c * y0)))))
    else if (y2 <= 2.5d+117) then
        tmp = y4 * (((b * t_9) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (y2 <= 4.7d+184) then
        tmp = t_7
    else if (y2 <= 1.4d+209) then
        tmp = t_11
    else
        tmp = t * (y2 * t_6)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = (i * y1) - (b * y0);
	double t_3 = (c * y0) - (a * y1);
	double t_4 = (z * t) - (x * y);
	double t_5 = (c * i) - (a * b);
	double t_6 = (a * y5) - (c * y4);
	double t_7 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * t_6));
	double t_8 = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_3) - (t * t_5)));
	double t_9 = (t * j) - (y * k);
	double t_10 = y5 * ((y * k) - (t * j));
	double t_11 = i * t_10;
	double t_12 = (c * y4) - (a * y5);
	double tmp;
	if (y2 <= -4.1e+195) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -2.05e+71) {
		tmp = t_7;
	} else if (y2 <= -2.7e+22) {
		tmp = (y * i) * ((k * y5) - (x * c));
	} else if (y2 <= -2.2e-48) {
		tmp = t_8;
	} else if (y2 <= -8e-70) {
		tmp = b * (((y4 * t_9) - (a * t_4)) + (y0 * ((z * k) - (x * j))));
	} else if (y2 <= -5.2e-92) {
		tmp = t_11 - ((z * y1) * (i * k));
	} else if (y2 <= -2.8e-255) {
		tmp = x * (((y2 * t_3) - (y * t_5)) + (j * t_2));
	} else if (y2 <= 3.7e-196) {
		tmp = t_8;
	} else if (y2 <= 6.2e-76) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_10 + (c * t_4)));
	} else if (y2 <= 195000.0) {
		tmp = (y * y3) * t_12;
	} else if (y2 <= 4e+25) {
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * t_2));
	} else if (y2 <= 3.1e+57) {
		tmp = y3 * ((y * t_12) + ((j * t_1) + (z * ((a * y1) - (c * y0)))));
	} else if (y2 <= 2.5e+117) {
		tmp = y4 * (((b * t_9) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (y2 <= 4.7e+184) {
		tmp = t_7;
	} else if (y2 <= 1.4e+209) {
		tmp = t_11;
	} else {
		tmp = t * (y2 * t_6);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y0 * y5) - (y1 * y4)
	t_2 = (i * y1) - (b * y0)
	t_3 = (c * y0) - (a * y1)
	t_4 = (z * t) - (x * y)
	t_5 = (c * i) - (a * b)
	t_6 = (a * y5) - (c * y4)
	t_7 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * t_6))
	t_8 = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_3) - (t * t_5)))
	t_9 = (t * j) - (y * k)
	t_10 = y5 * ((y * k) - (t * j))
	t_11 = i * t_10
	t_12 = (c * y4) - (a * y5)
	tmp = 0
	if y2 <= -4.1e+195:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y2 <= -2.05e+71:
		tmp = t_7
	elif y2 <= -2.7e+22:
		tmp = (y * i) * ((k * y5) - (x * c))
	elif y2 <= -2.2e-48:
		tmp = t_8
	elif y2 <= -8e-70:
		tmp = b * (((y4 * t_9) - (a * t_4)) + (y0 * ((z * k) - (x * j))))
	elif y2 <= -5.2e-92:
		tmp = t_11 - ((z * y1) * (i * k))
	elif y2 <= -2.8e-255:
		tmp = x * (((y2 * t_3) - (y * t_5)) + (j * t_2))
	elif y2 <= 3.7e-196:
		tmp = t_8
	elif y2 <= 6.2e-76:
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_10 + (c * t_4)))
	elif y2 <= 195000.0:
		tmp = (y * y3) * t_12
	elif y2 <= 4e+25:
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * t_2))
	elif y2 <= 3.1e+57:
		tmp = y3 * ((y * t_12) + ((j * t_1) + (z * ((a * y1) - (c * y0)))))
	elif y2 <= 2.5e+117:
		tmp = y4 * (((b * t_9) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif y2 <= 4.7e+184:
		tmp = t_7
	elif y2 <= 1.4e+209:
		tmp = t_11
	else:
		tmp = t * (y2 * t_6)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_2 = Float64(Float64(i * y1) - Float64(b * y0))
	t_3 = Float64(Float64(c * y0) - Float64(a * y1))
	t_4 = Float64(Float64(z * t) - Float64(x * y))
	t_5 = Float64(Float64(c * i) - Float64(a * b))
	t_6 = Float64(Float64(a * y5) - Float64(c * y4))
	t_7 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_3)) + Float64(t * t_6)))
	t_8 = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) - Float64(Float64(y3 * t_3) - Float64(t * t_5))))
	t_9 = Float64(Float64(t * j) - Float64(y * k))
	t_10 = Float64(y5 * Float64(Float64(y * k) - Float64(t * j)))
	t_11 = Float64(i * t_10)
	t_12 = Float64(Float64(c * y4) - Float64(a * y5))
	tmp = 0.0
	if (y2 <= -4.1e+195)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y2 <= -2.05e+71)
		tmp = t_7;
	elseif (y2 <= -2.7e+22)
		tmp = Float64(Float64(y * i) * Float64(Float64(k * y5) - Float64(x * c)));
	elseif (y2 <= -2.2e-48)
		tmp = t_8;
	elseif (y2 <= -8e-70)
		tmp = Float64(b * Float64(Float64(Float64(y4 * t_9) - Float64(a * t_4)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y2 <= -5.2e-92)
		tmp = Float64(t_11 - Float64(Float64(z * y1) * Float64(i * k)));
	elseif (y2 <= -2.8e-255)
		tmp = Float64(x * Float64(Float64(Float64(y2 * t_3) - Float64(y * t_5)) + Float64(j * t_2)));
	elseif (y2 <= 3.7e-196)
		tmp = t_8;
	elseif (y2 <= 6.2e-76)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(t_10 + Float64(c * t_4))));
	elseif (y2 <= 195000.0)
		tmp = Float64(Float64(y * y3) * t_12);
	elseif (y2 <= 4e+25)
		tmp = Float64(j * Float64(Float64(Float64(y3 * t_1) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * t_2)));
	elseif (y2 <= 3.1e+57)
		tmp = Float64(y3 * Float64(Float64(y * t_12) + Float64(Float64(j * t_1) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))));
	elseif (y2 <= 2.5e+117)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_9) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y2 <= 4.7e+184)
		tmp = t_7;
	elseif (y2 <= 1.4e+209)
		tmp = t_11;
	else
		tmp = Float64(t * Float64(y2 * t_6));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y0 * y5) - (y1 * y4);
	t_2 = (i * y1) - (b * y0);
	t_3 = (c * y0) - (a * y1);
	t_4 = (z * t) - (x * y);
	t_5 = (c * i) - (a * b);
	t_6 = (a * y5) - (c * y4);
	t_7 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_3)) + (t * t_6));
	t_8 = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_3) - (t * t_5)));
	t_9 = (t * j) - (y * k);
	t_10 = y5 * ((y * k) - (t * j));
	t_11 = i * t_10;
	t_12 = (c * y4) - (a * y5);
	tmp = 0.0;
	if (y2 <= -4.1e+195)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y2 <= -2.05e+71)
		tmp = t_7;
	elseif (y2 <= -2.7e+22)
		tmp = (y * i) * ((k * y5) - (x * c));
	elseif (y2 <= -2.2e-48)
		tmp = t_8;
	elseif (y2 <= -8e-70)
		tmp = b * (((y4 * t_9) - (a * t_4)) + (y0 * ((z * k) - (x * j))));
	elseif (y2 <= -5.2e-92)
		tmp = t_11 - ((z * y1) * (i * k));
	elseif (y2 <= -2.8e-255)
		tmp = x * (((y2 * t_3) - (y * t_5)) + (j * t_2));
	elseif (y2 <= 3.7e-196)
		tmp = t_8;
	elseif (y2 <= 6.2e-76)
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_10 + (c * t_4)));
	elseif (y2 <= 195000.0)
		tmp = (y * y3) * t_12;
	elseif (y2 <= 4e+25)
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * t_2));
	elseif (y2 <= 3.1e+57)
		tmp = y3 * ((y * t_12) + ((j * t_1) + (z * ((a * y1) - (c * y0)))));
	elseif (y2 <= 2.5e+117)
		tmp = y4 * (((b * t_9) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (y2 <= 4.7e+184)
		tmp = t_7;
	elseif (y2 <= 1.4e+209)
		tmp = t_11;
	else
		tmp = t * (y2 * t_6);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$3), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y3 * t$95$3), $MachinePrecision] - N[(t * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(i * t$95$10), $MachinePrecision]}, Block[{t$95$12 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -4.1e+195], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.05e+71], t$95$7, If[LessEqual[y2, -2.7e+22], N[(N[(y * i), $MachinePrecision] * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.2e-48], t$95$8, If[LessEqual[y2, -8e-70], N[(b * N[(N[(N[(y4 * t$95$9), $MachinePrecision] - N[(a * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.2e-92], N[(t$95$11 - N[(N[(z * y1), $MachinePrecision] * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.8e-255], N[(x * N[(N[(N[(y2 * t$95$3), $MachinePrecision] - N[(y * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(j * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.7e-196], t$95$8, If[LessEqual[y2, 6.2e-76], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$10 + N[(c * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 195000.0], N[(N[(y * y3), $MachinePrecision] * t$95$12), $MachinePrecision], If[LessEqual[y2, 4e+25], N[(j * N[(N[(N[(y3 * t$95$1), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.1e+57], N[(y3 * N[(N[(y * t$95$12), $MachinePrecision] + N[(N[(j * t$95$1), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.5e+117], N[(y4 * N[(N[(N[(b * t$95$9), $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[y2, 4.7e+184], t$95$7, If[LessEqual[y2, 1.4e+209], t$95$11, N[(t * N[(y2 * t$95$6), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 14 regimes

2. if y2 < -4.1e195

   1. Initial program 3.2%

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

   3. Taylor expanded in y2 around inf 67.8%

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

   4. Taylor expanded in y1 around inf 80.7%

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

      1. *-commutative 80.7%

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

      2. +-commutative 80.7%

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

      3. mul-1-neg 80.7%

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

      4. unsub-neg 80.7%

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

      5. *-commutative 80.7%

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

   6. Simplified 80.7%

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

   if -4.1e195 < y2 < -2.0500000000000001e71 or 2.49999999999999992e117 < y2 < 4.7000000000000003e184

   1. Initial program 37.7%

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

   3. Taylor expanded in y2 around inf 67.9%

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

   if -2.0500000000000001e71 < y2 < -2.7000000000000002e22

   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 i around -inf 50.4%

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

   4. Taylor expanded in y around -inf 58.9%

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

      1. mul-1-neg 58.9%

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

      2. associate-*r* 58.9%

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

      3. distribute-lft-neg-in 58.9%

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

      4. +-commutative 58.9%

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

      5. mul-1-neg 58.9%

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

      6. unsub-neg 58.9%

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

      7. *-commutative 58.9%

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

   6. Simplified 58.9%

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

   if -2.7000000000000002e22 < y2 < -2.20000000000000013e-48 or -2.80000000000000011e-255 < y2 < 3.7000000000000001e-196

   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 z around -inf 61.4%

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

   if -2.20000000000000013e-48 < y2 < -7.99999999999999997e-70

   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 b around inf 84.5%

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

   if -7.99999999999999997e-70 < y2 < -5.2e-92

   1. Initial program 50.0%

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

   3. Taylor expanded in i around -inf 100.0%

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

   4. Taylor expanded in y5 around 0 100.0%

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

   5. Taylor expanded in k around inf 100.0%

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

      1. associate-*r* 100.0%

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

      2. *-commutative 100.0%

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

      3. *-commutative 100.0%

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

   7. Simplified 100.0%

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

   if -5.2e-92 < y2 < -2.80000000000000011e-255

   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 60.7%

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

   if 3.7000000000000001e-196 < y2 < 6.19999999999999939e-76

   1. Initial program 42.7%

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

   3. Taylor expanded in i around -inf 71.9%

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

   if 6.19999999999999939e-76 < y2 < 195000

   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 y3 around -inf 50.0%

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

   4. Taylor expanded in y around inf 67.1%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 72.4%

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

   6. Simplified 72.4%

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

   if 195000 < y2 < 4.00000000000000036e25

   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 j around inf 100.0%

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

   if 4.00000000000000036e25 < y2 < 3.10000000000000013e57

   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 y3 around -inf 80.1%

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

   if 3.10000000000000013e57 < y2 < 2.49999999999999992e117

   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 y4 around inf 60.7%

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

   if 4.7000000000000003e184 < y2 < 1.40000000000000007e209

   1. Initial program 0.0%

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

   3. Taylor expanded in i around -inf 40.0%

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

   4. Taylor expanded in y5 around inf 80.1%

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

      1. *-commutative 80.1%

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

   6. Simplified 80.1%

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

   if 1.40000000000000007e209 < y2

   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 y2 around inf 67.3%

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

   4. Taylor expanded in t around inf 74.0%

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

      1. *-commutative 74.0%

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

   6. Simplified 74.0%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]
3. Recombined 14 regimes into one program.

4. Final simplification 69.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -4.1 \cdot 10^{+195}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -2.05 \cdot 10^{+71}:\\ \;\;\;\;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}\;y2 \leq -2.7 \cdot 10^{+22}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \mathbf{elif}\;y2 \leq -2.2 \cdot 10^{-48}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -8 \cdot 10^{-70}:\\ \;\;\;\;b \cdot \left(\left(y4 \cdot \left(t \cdot j - y \cdot k\right) - a \cdot \left(z \cdot t - x \cdot y\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -5.2 \cdot 10^{-92}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{elif}\;y2 \leq -2.8 \cdot 10^{-255}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.7 \cdot 10^{-196}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{-76}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 195000:\\ \;\;\;\;\left(y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{+25}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.1 \cdot 10^{+57}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 2.5 \cdot 10^{+117}:\\ \;\;\;\;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}\;y2 \leq 4.7 \cdot 10^{+184}:\\ \;\;\;\;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}\;y2 \leq 1.4 \cdot 10^{+209}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \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 2: 53.0% accurate, 0.5× speedup

Math

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

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)))
              (* (- (* x j) (* z k)) (- (* i y1) (* b y0))))
             (* t_3 (- (* x y2) (* z y3))))
            (* (- (* t j) (* y k)) (- (* b y4) (* i y5))))
           (* (- (* 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))) + (((x * j) - (z * k)) * ((i * y1) - (b * y0)))) + (t_3 * ((x * y2) - (z * y3)))) + (((t * j) - (y * k)) * ((b * y4) - (i * y5)))) + (((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))) + (((x * j) - (z * k)) * ((i * y1) - (b * y0)))) + (t_3 * ((x * y2) - (z * y3)))) + (((t * j) - (y * k)) * ((b * y4) - (i * y5)))) + (((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))) + (((x * j) - (z * k)) * ((i * y1) - (b * y0)))) + (t_3 * ((x * y2) - (z * y3)))) + (((t * j) - (y * k)) * ((b * y4) - (i * y5)))) + (((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(x * j) - Float64(z * k)) * Float64(Float64(i * y1) - Float64(b * y0)))) + Float64(t_3 * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * Float64(Float64(b * y4) - Float64(i * y5)))) + 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))) + (((x * j) - (z * k)) * ((i * y1) - (b * y0)))) + (t_3 * ((x * y2) - (z * y3)))) + (((t * j) - (y * k)) * ((b * y4) - (i * y5)))) + (((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[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$3 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $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 93.8%

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

   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 40.4%

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

4. Final simplification 56.7%

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

Alternative 3: 39.5% accurate, 0.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := c \cdot i - a \cdot b\\ t_3 := a \cdot y5 - c \cdot y4\\ t_4 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_1\right) + t \cdot t\_3\right)\\ t_5 := z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot t\_1 - t \cdot t\_2\right)\right)\\ t_6 := t \cdot j - y \cdot k\\ t_7 := y5 \cdot \left(y \cdot k - t \cdot j\right)\\ t_8 := i \cdot t\_7\\ t_9 := c \cdot y4 - a \cdot y5\\ t_10 := z \cdot t - x \cdot y\\ t_11 := y4 \cdot \left(\left(b \cdot t\_6 + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{if}\;y2 \leq -1.35 \cdot 10^{+196}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -9.5 \cdot 10^{+71}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y2 \leq -2.3 \cdot 10^{+20}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \mathbf{elif}\;y2 \leq -2.2 \cdot 10^{-48}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y2 \leq -1.15 \cdot 10^{-70}:\\ \;\;\;\;b \cdot \left(\left(y4 \cdot t\_6 - a \cdot t\_10\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -1.12 \cdot 10^{-91}:\\ \;\;\;\;t\_8 - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{elif}\;y2 \leq -5.8 \cdot 10^{-256}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot t\_1 - y \cdot t\_2\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.2 \cdot 10^{-196}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;y2 \leq 5.15 \cdot 10^{-76}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(t\_7 + c \cdot t\_10\right)\right)\\ \mathbf{elif}\;y2 \leq 1450000:\\ \;\;\;\;\left(y \cdot y3\right) \cdot t\_9\\ \mathbf{elif}\;y2 \leq 3.4 \cdot 10^{+25}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;y2 \leq 1.9 \cdot 10^{+57}:\\ \;\;\;\;y3 \cdot \left(y \cdot t\_9 + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 1.65 \cdot 10^{+115}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;y2 \leq 4.6 \cdot 10^{+184}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;y2 \leq 2.02 \cdot 10^{+207}:\\ \;\;\;\;t\_8\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(y2 \cdot t\_3\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (- (* c i) (* a b)))
        (t_3 (- (* a y5) (* c y4)))
        (t_4 (* y2 (+ (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_1)) (* t t_3))))
        (t_5 (* z (- (* k (- (* b y0) (* i y1))) (- (* y3 t_1) (* t t_2)))))
        (t_6 (- (* t j) (* y k)))
        (t_7 (* y5 (- (* y k) (* t j))))
        (t_8 (* i t_7))
        (t_9 (- (* c y4) (* a y5)))
        (t_10 (- (* z t) (* x y)))
        (t_11
         (*
          y4
          (+
           (+ (* b t_6) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))))
   (if (<= y2 -1.35e+196)
     (* y1 (* y2 (- (* k y4) (* x a))))
     (if (<= y2 -9.5e+71)
       t_4
       (if (<= y2 -2.3e+20)
         (* (* y i) (- (* k y5) (* x c)))
         (if (<= y2 -2.2e-48)
           t_5
           (if (<= y2 -1.15e-70)
             (* b (+ (- (* y4 t_6) (* a t_10)) (* y0 (- (* z k) (* x j)))))
             (if (<= y2 -1.12e-91)
               (- t_8 (* (* z y1) (* i k)))
               (if (<= y2 -5.8e-256)
                 (* x (+ (- (* y2 t_1) (* y t_2)) (* j (- (* i y1) (* b y0)))))
                 (if (<= y2 3.2e-196)
                   t_5
                   (if (<= y2 5.15e-76)
                     (* i (+ (* y1 (- (* x j) (* z k))) (+ t_7 (* c t_10))))
                     (if (<= y2 1450000.0)
                       (* (* y y3) t_9)
                       (if (<= y2 3.4e+25)
                         t_11
                         (if (<= y2 1.9e+57)
                           (*
                            y3
                            (+
                             (* y t_9)
                             (+
                              (* j (- (* y0 y5) (* y1 y4)))
                              (* z (- (* a y1) (* c y0))))))
                           (if (<= y2 1.65e+115)
                             t_11
                             (if (<= y2 4.6e+184)
                               t_4
                               (if (<= y2 2.02e+207)
                                 t_8
                                 (* t (* y2 t_3)))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = (c * i) - (a * b);
	double t_3 = (a * y5) - (c * y4);
	double t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * t_3));
	double t_5 = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_1) - (t * t_2)));
	double t_6 = (t * j) - (y * k);
	double t_7 = y5 * ((y * k) - (t * j));
	double t_8 = i * t_7;
	double t_9 = (c * y4) - (a * y5);
	double t_10 = (z * t) - (x * y);
	double t_11 = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (y2 <= -1.35e+196) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -9.5e+71) {
		tmp = t_4;
	} else if (y2 <= -2.3e+20) {
		tmp = (y * i) * ((k * y5) - (x * c));
	} else if (y2 <= -2.2e-48) {
		tmp = t_5;
	} else if (y2 <= -1.15e-70) {
		tmp = b * (((y4 * t_6) - (a * t_10)) + (y0 * ((z * k) - (x * j))));
	} else if (y2 <= -1.12e-91) {
		tmp = t_8 - ((z * y1) * (i * k));
	} else if (y2 <= -5.8e-256) {
		tmp = x * (((y2 * t_1) - (y * t_2)) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 3.2e-196) {
		tmp = t_5;
	} else if (y2 <= 5.15e-76) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_7 + (c * t_10)));
	} else if (y2 <= 1450000.0) {
		tmp = (y * y3) * t_9;
	} else if (y2 <= 3.4e+25) {
		tmp = t_11;
	} else if (y2 <= 1.9e+57) {
		tmp = y3 * ((y * t_9) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	} else if (y2 <= 1.65e+115) {
		tmp = t_11;
	} else if (y2 <= 4.6e+184) {
		tmp = t_4;
	} else if (y2 <= 2.02e+207) {
		tmp = t_8;
	} else {
		tmp = t * (y2 * t_3);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_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 = (c * y0) - (a * y1)
    t_2 = (c * i) - (a * b)
    t_3 = (a * y5) - (c * y4)
    t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * t_3))
    t_5 = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_1) - (t * t_2)))
    t_6 = (t * j) - (y * k)
    t_7 = y5 * ((y * k) - (t * j))
    t_8 = i * t_7
    t_9 = (c * y4) - (a * y5)
    t_10 = (z * t) - (x * y)
    t_11 = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    if (y2 <= (-1.35d+196)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y2 <= (-9.5d+71)) then
        tmp = t_4
    else if (y2 <= (-2.3d+20)) then
        tmp = (y * i) * ((k * y5) - (x * c))
    else if (y2 <= (-2.2d-48)) then
        tmp = t_5
    else if (y2 <= (-1.15d-70)) then
        tmp = b * (((y4 * t_6) - (a * t_10)) + (y0 * ((z * k) - (x * j))))
    else if (y2 <= (-1.12d-91)) then
        tmp = t_8 - ((z * y1) * (i * k))
    else if (y2 <= (-5.8d-256)) then
        tmp = x * (((y2 * t_1) - (y * t_2)) + (j * ((i * y1) - (b * y0))))
    else if (y2 <= 3.2d-196) then
        tmp = t_5
    else if (y2 <= 5.15d-76) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + (t_7 + (c * t_10)))
    else if (y2 <= 1450000.0d0) then
        tmp = (y * y3) * t_9
    else if (y2 <= 3.4d+25) then
        tmp = t_11
    else if (y2 <= 1.9d+57) then
        tmp = y3 * ((y * t_9) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
    else if (y2 <= 1.65d+115) then
        tmp = t_11
    else if (y2 <= 4.6d+184) then
        tmp = t_4
    else if (y2 <= 2.02d+207) then
        tmp = t_8
    else
        tmp = t * (y2 * t_3)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = (c * i) - (a * b);
	double t_3 = (a * y5) - (c * y4);
	double t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * t_3));
	double t_5 = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_1) - (t * t_2)));
	double t_6 = (t * j) - (y * k);
	double t_7 = y5 * ((y * k) - (t * j));
	double t_8 = i * t_7;
	double t_9 = (c * y4) - (a * y5);
	double t_10 = (z * t) - (x * y);
	double t_11 = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double tmp;
	if (y2 <= -1.35e+196) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -9.5e+71) {
		tmp = t_4;
	} else if (y2 <= -2.3e+20) {
		tmp = (y * i) * ((k * y5) - (x * c));
	} else if (y2 <= -2.2e-48) {
		tmp = t_5;
	} else if (y2 <= -1.15e-70) {
		tmp = b * (((y4 * t_6) - (a * t_10)) + (y0 * ((z * k) - (x * j))));
	} else if (y2 <= -1.12e-91) {
		tmp = t_8 - ((z * y1) * (i * k));
	} else if (y2 <= -5.8e-256) {
		tmp = x * (((y2 * t_1) - (y * t_2)) + (j * ((i * y1) - (b * y0))));
	} else if (y2 <= 3.2e-196) {
		tmp = t_5;
	} else if (y2 <= 5.15e-76) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_7 + (c * t_10)));
	} else if (y2 <= 1450000.0) {
		tmp = (y * y3) * t_9;
	} else if (y2 <= 3.4e+25) {
		tmp = t_11;
	} else if (y2 <= 1.9e+57) {
		tmp = y3 * ((y * t_9) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	} else if (y2 <= 1.65e+115) {
		tmp = t_11;
	} else if (y2 <= 4.6e+184) {
		tmp = t_4;
	} else if (y2 <= 2.02e+207) {
		tmp = t_8;
	} else {
		tmp = t * (y2 * t_3);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = (c * i) - (a * b)
	t_3 = (a * y5) - (c * y4)
	t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * t_3))
	t_5 = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_1) - (t * t_2)))
	t_6 = (t * j) - (y * k)
	t_7 = y5 * ((y * k) - (t * j))
	t_8 = i * t_7
	t_9 = (c * y4) - (a * y5)
	t_10 = (z * t) - (x * y)
	t_11 = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	tmp = 0
	if y2 <= -1.35e+196:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y2 <= -9.5e+71:
		tmp = t_4
	elif y2 <= -2.3e+20:
		tmp = (y * i) * ((k * y5) - (x * c))
	elif y2 <= -2.2e-48:
		tmp = t_5
	elif y2 <= -1.15e-70:
		tmp = b * (((y4 * t_6) - (a * t_10)) + (y0 * ((z * k) - (x * j))))
	elif y2 <= -1.12e-91:
		tmp = t_8 - ((z * y1) * (i * k))
	elif y2 <= -5.8e-256:
		tmp = x * (((y2 * t_1) - (y * t_2)) + (j * ((i * y1) - (b * y0))))
	elif y2 <= 3.2e-196:
		tmp = t_5
	elif y2 <= 5.15e-76:
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_7 + (c * t_10)))
	elif y2 <= 1450000.0:
		tmp = (y * y3) * t_9
	elif y2 <= 3.4e+25:
		tmp = t_11
	elif y2 <= 1.9e+57:
		tmp = y3 * ((y * t_9) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
	elif y2 <= 1.65e+115:
		tmp = t_11
	elif y2 <= 4.6e+184:
		tmp = t_4
	elif y2 <= 2.02e+207:
		tmp = t_8
	else:
		tmp = t * (y2 * t_3)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(Float64(c * i) - Float64(a * b))
	t_3 = Float64(Float64(a * y5) - Float64(c * y4))
	t_4 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_1)) + Float64(t * t_3)))
	t_5 = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) - Float64(Float64(y3 * t_1) - Float64(t * t_2))))
	t_6 = Float64(Float64(t * j) - Float64(y * k))
	t_7 = Float64(y5 * Float64(Float64(y * k) - Float64(t * j)))
	t_8 = Float64(i * t_7)
	t_9 = Float64(Float64(c * y4) - Float64(a * y5))
	t_10 = Float64(Float64(z * t) - Float64(x * y))
	t_11 = Float64(y4 * Float64(Float64(Float64(b * t_6) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	tmp = 0.0
	if (y2 <= -1.35e+196)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y2 <= -9.5e+71)
		tmp = t_4;
	elseif (y2 <= -2.3e+20)
		tmp = Float64(Float64(y * i) * Float64(Float64(k * y5) - Float64(x * c)));
	elseif (y2 <= -2.2e-48)
		tmp = t_5;
	elseif (y2 <= -1.15e-70)
		tmp = Float64(b * Float64(Float64(Float64(y4 * t_6) - Float64(a * t_10)) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y2 <= -1.12e-91)
		tmp = Float64(t_8 - Float64(Float64(z * y1) * Float64(i * k)));
	elseif (y2 <= -5.8e-256)
		tmp = Float64(x * Float64(Float64(Float64(y2 * t_1) - Float64(y * t_2)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y2 <= 3.2e-196)
		tmp = t_5;
	elseif (y2 <= 5.15e-76)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(t_7 + Float64(c * t_10))));
	elseif (y2 <= 1450000.0)
		tmp = Float64(Float64(y * y3) * t_9);
	elseif (y2 <= 3.4e+25)
		tmp = t_11;
	elseif (y2 <= 1.9e+57)
		tmp = Float64(y3 * Float64(Float64(y * t_9) + Float64(Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))));
	elseif (y2 <= 1.65e+115)
		tmp = t_11;
	elseif (y2 <= 4.6e+184)
		tmp = t_4;
	elseif (y2 <= 2.02e+207)
		tmp = t_8;
	else
		tmp = Float64(t * Float64(y2 * t_3));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = (c * i) - (a * b);
	t_3 = (a * y5) - (c * y4);
	t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * t_3));
	t_5 = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_1) - (t * t_2)));
	t_6 = (t * j) - (y * k);
	t_7 = y5 * ((y * k) - (t * j));
	t_8 = i * t_7;
	t_9 = (c * y4) - (a * y5);
	t_10 = (z * t) - (x * y);
	t_11 = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	tmp = 0.0;
	if (y2 <= -1.35e+196)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y2 <= -9.5e+71)
		tmp = t_4;
	elseif (y2 <= -2.3e+20)
		tmp = (y * i) * ((k * y5) - (x * c));
	elseif (y2 <= -2.2e-48)
		tmp = t_5;
	elseif (y2 <= -1.15e-70)
		tmp = b * (((y4 * t_6) - (a * t_10)) + (y0 * ((z * k) - (x * j))));
	elseif (y2 <= -1.12e-91)
		tmp = t_8 - ((z * y1) * (i * k));
	elseif (y2 <= -5.8e-256)
		tmp = x * (((y2 * t_1) - (y * t_2)) + (j * ((i * y1) - (b * y0))));
	elseif (y2 <= 3.2e-196)
		tmp = t_5;
	elseif (y2 <= 5.15e-76)
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_7 + (c * t_10)));
	elseif (y2 <= 1450000.0)
		tmp = (y * y3) * t_9;
	elseif (y2 <= 3.4e+25)
		tmp = t_11;
	elseif (y2 <= 1.9e+57)
		tmp = y3 * ((y * t_9) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	elseif (y2 <= 1.65e+115)
		tmp = t_11;
	elseif (y2 <= 4.6e+184)
		tmp = t_4;
	elseif (y2 <= 2.02e+207)
		tmp = t_8;
	else
		tmp = t * (y2 * t_3);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y3 * t$95$1), $MachinePrecision] - N[(t * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(i * t$95$7), $MachinePrecision]}, Block[{t$95$9 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(y4 * N[(N[(N[(b * t$95$6), $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[y2, -1.35e+196], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -9.5e+71], t$95$4, If[LessEqual[y2, -2.3e+20], N[(N[(y * i), $MachinePrecision] * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.2e-48], t$95$5, If[LessEqual[y2, -1.15e-70], N[(b * N[(N[(N[(y4 * t$95$6), $MachinePrecision] - N[(a * t$95$10), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1.12e-91], N[(t$95$8 - N[(N[(z * y1), $MachinePrecision] * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -5.8e-256], N[(x * N[(N[(N[(y2 * t$95$1), $MachinePrecision] - N[(y * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.2e-196], t$95$5, If[LessEqual[y2, 5.15e-76], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$7 + N[(c * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1450000.0], N[(N[(y * y3), $MachinePrecision] * t$95$9), $MachinePrecision], If[LessEqual[y2, 3.4e+25], t$95$11, If[LessEqual[y2, 1.9e+57], N[(y3 * N[(N[(y * t$95$9), $MachinePrecision] + N[(N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.65e+115], t$95$11, If[LessEqual[y2, 4.6e+184], t$95$4, If[LessEqual[y2, 2.02e+207], t$95$8, N[(t * N[(y2 * t$95$3), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if y2 < -1.34999999999999998e196

   1. Initial program 3.2%

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

   3. Taylor expanded in y2 around inf 67.8%

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

   4. Taylor expanded in y1 around inf 80.7%

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

      1. *-commutative 80.7%

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

      2. +-commutative 80.7%

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

      3. mul-1-neg 80.7%

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

      4. unsub-neg 80.7%

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

      5. *-commutative 80.7%

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

   6. Simplified 80.7%

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

   if -1.34999999999999998e196 < y2 < -9.50000000000000015e71 or 1.65000000000000003e115 < y2 < 4.6e184

   1. Initial program 37.7%

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

   3. Taylor expanded in y2 around inf 67.9%

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

   if -9.50000000000000015e71 < y2 < -2.3e20

   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 i around -inf 50.4%

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

   4. Taylor expanded in y around -inf 58.9%

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

      1. mul-1-neg 58.9%

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

      2. associate-*r* 58.9%

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

      3. distribute-lft-neg-in 58.9%

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

      4. +-commutative 58.9%

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

      5. mul-1-neg 58.9%

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

      6. unsub-neg 58.9%

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

      7. *-commutative 58.9%

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

   6. Simplified 58.9%

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

   if -2.3e20 < y2 < -2.20000000000000013e-48 or -5.79999999999999942e-256 < y2 < 3.2e-196

   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 z around -inf 61.4%

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

   if -2.20000000000000013e-48 < y2 < -1.15e-70

   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 b around inf 84.5%

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

   if -1.15e-70 < y2 < -1.12e-91

   1. Initial program 50.0%

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

   3. Taylor expanded in i around -inf 100.0%

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

   4. Taylor expanded in y5 around 0 100.0%

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

   5. Taylor expanded in k around inf 100.0%

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

      1. associate-*r* 100.0%

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

      2. *-commutative 100.0%

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

      3. *-commutative 100.0%

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

   7. Simplified 100.0%

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

   if -1.12e-91 < y2 < -5.79999999999999942e-256

   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 60.7%

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

   if 3.2e-196 < y2 < 5.1500000000000002e-76

   1. Initial program 42.7%

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

   3. Taylor expanded in i around -inf 71.9%

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

   if 5.1500000000000002e-76 < y2 < 1.45e6

   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 y3 around -inf 50.0%

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

   4. Taylor expanded in y around inf 67.1%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 72.4%

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

   6. Simplified 72.4%

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

   if 1.45e6 < y2 < 3.39999999999999984e25 or 1.8999999999999999e57 < y2 < 1.65000000000000003e115

   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 y4 around inf 61.9%

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

   if 3.39999999999999984e25 < y2 < 1.8999999999999999e57

   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 y3 around -inf 80.1%

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

   if 4.6e184 < y2 < 2.02000000000000011e207

   1. Initial program 0.0%

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

   3. Taylor expanded in i around -inf 40.0%

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

   4. Taylor expanded in y5 around inf 80.1%

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

      1. *-commutative 80.1%

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

   6. Simplified 80.1%

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

   if 2.02000000000000011e207 < y2

   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 y2 around inf 67.3%

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

   4. Taylor expanded in t around inf 74.0%

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

      1. *-commutative 74.0%

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

   6. Simplified 74.0%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 69.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.35 \cdot 10^{+196}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -9.5 \cdot 10^{+71}:\\ \;\;\;\;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}\;y2 \leq -2.3 \cdot 10^{+20}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \mathbf{elif}\;y2 \leq -2.2 \cdot 10^{-48}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -1.15 \cdot 10^{-70}:\\ \;\;\;\;b \cdot \left(\left(y4 \cdot \left(t \cdot j - y \cdot k\right) - a \cdot \left(z \cdot t - x \cdot y\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y2 \leq -1.12 \cdot 10^{-91}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{elif}\;y2 \leq -5.8 \cdot 10^{-256}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq 3.2 \cdot 10^{-196}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 5.15 \cdot 10^{-76}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 1450000:\\ \;\;\;\;\left(y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\\ \mathbf{elif}\;y2 \leq 3.4 \cdot 10^{+25}:\\ \;\;\;\;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}\;y2 \leq 1.9 \cdot 10^{+57}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 1.65 \cdot 10^{+115}:\\ \;\;\;\;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}\;y2 \leq 4.6 \cdot 10^{+184}:\\ \;\;\;\;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}\;y2 \leq 2.02 \cdot 10^{+207}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \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 4: 39.4% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y1 \cdot y4 - y0 \cdot y5\\ t_2 := y0 \cdot y5 - y1 \cdot y4\\ t_3 := y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot t\_2 + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ t_4 := x \cdot j - z \cdot k\\ t_5 := z \cdot t - x \cdot y\\ t_6 := k \cdot y2 - j \cdot y3\\ t_7 := y5 \cdot \left(y \cdot k - t \cdot j\right)\\ t_8 := a \cdot y5 - c \cdot y4\\ t_9 := y1 \cdot t\_4\\ t_10 := c \cdot y0 - a \cdot y1\\ t_11 := y2 \cdot \left(\left(k \cdot t\_1 + x \cdot t\_10\right) + t \cdot t\_8\right)\\ t_12 := x \cdot y2 - z \cdot y3\\ t_13 := y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot t\_12\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;i \leq -2.3 \cdot 10^{+159}:\\ \;\;\;\;i \cdot \left(t\_9 + \left(t\_7 + c \cdot t\_5\right)\right)\\ \mathbf{elif}\;i \leq -5.2 \cdot 10^{+37}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot t\_10 - t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;i \leq -5.6 \cdot 10^{+30}:\\ \;\;\;\;\left(\left(\left(t\_10 \cdot t\_12 + t\_6 \cdot t\_1\right) + i \cdot t\_7\right) - c \cdot \left(i \cdot \left(x \cdot y - z \cdot t\right)\right)\right) + \left(i \cdot t\_9 + \left(t \cdot y2 - y \cdot y3\right) \cdot t\_8\right)\\ \mathbf{elif}\;i \leq -5.5 \cdot 10^{-108}:\\ \;\;\;\;t\_13\\ \mathbf{elif}\;i \leq -3 \cdot 10^{-255}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq 2.9 \cdot 10^{-149}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;i \leq 1.15 \cdot 10^{-46}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 3.3 \cdot 10^{-12}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;i \leq 3 \cdot 10^{+41}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq 2.65 \cdot 10^{+98}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot t\_2 + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 2.8 \cdot 10^{+120}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot t\_6\right) + i \cdot t\_4\right)\\ \mathbf{elif}\;i \leq 3.3 \cdot 10^{+146}:\\ \;\;\;\;t\_11\\ \mathbf{elif}\;i \leq 7.8 \cdot 10^{+188}:\\ \;\;\;\;t\_13\\ \mathbf{elif}\;i \leq 9 \cdot 10^{+263}:\\ \;\;\;\;\left(c \cdot i\right) \cdot t\_5\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y1 y4) (* y0 y5)))
        (t_2 (- (* y0 y5) (* y1 y4)))
        (t_3
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (+ (* j t_2) (* z (- (* a y1) (* c y0)))))))
        (t_4 (- (* x j) (* z k)))
        (t_5 (- (* z t) (* x y)))
        (t_6 (- (* k y2) (* j y3)))
        (t_7 (* y5 (- (* y k) (* t j))))
        (t_8 (- (* a y5) (* c y4)))
        (t_9 (* y1 t_4))
        (t_10 (- (* c y0) (* a y1)))
        (t_11 (* y2 (+ (+ (* k t_1) (* x t_10)) (* t t_8))))
        (t_12 (- (* x y2) (* z y3)))
        (t_13
         (*
          y0
          (+
           (+ (* y5 (- (* j y3) (* k y2))) (* c t_12))
           (* b (- (* z k) (* x j)))))))
   (if (<= i -2.3e+159)
     (* i (+ t_9 (+ t_7 (* c t_5))))
     (if (<= i -5.2e+37)
       (*
        z
        (-
         (* k (- (* b y0) (* i y1)))
         (- (* y3 t_10) (* t (- (* c i) (* a b))))))
       (if (<= i -5.6e+30)
         (+
          (-
           (+ (+ (* t_10 t_12) (* t_6 t_1)) (* i t_7))
           (* c (* i (- (* x y) (* z t)))))
          (+ (* i t_9) (* (- (* t y2) (* y y3)) t_8)))
         (if (<= i -5.5e-108)
           t_13
           (if (<= i -3e-255)
             t_3
             (if (<= i 2.9e-149)
               t_11
               (if (<= i 1.15e-46)
                 (* i (* k (- (* y y5) (* z y1))))
                 (if (<= i 3.3e-12)
                   t_11
                   (if (<= i 3e+41)
                     t_3
                     (if (<= i 2.65e+98)
                       (*
                        j
                        (+
                         (+ (* y3 t_2) (* t (- (* b y4) (* i y5))))
                         (* x (- (* i y1) (* b y0)))))
                       (if (<= i 2.8e+120)
                         (*
                          y1
                          (+
                           (+ (* a (- (* z y3) (* x y2))) (* y4 t_6))
                           (* i t_4)))
                         (if (<= i 3.3e+146)
                           t_11
                           (if (<= i 7.8e+188)
                             t_13
                             (if (<= i 9e+263)
                               (* (* c i) t_5)
                               (* (* y i) (- (* k y5) (* x c)))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = (y0 * y5) - (y1 * y4);
	double t_3 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_2) + (z * ((a * y1) - (c * y0)))));
	double t_4 = (x * j) - (z * k);
	double t_5 = (z * t) - (x * y);
	double t_6 = (k * y2) - (j * y3);
	double t_7 = y5 * ((y * k) - (t * j));
	double t_8 = (a * y5) - (c * y4);
	double t_9 = y1 * t_4;
	double t_10 = (c * y0) - (a * y1);
	double t_11 = y2 * (((k * t_1) + (x * t_10)) + (t * t_8));
	double t_12 = (x * y2) - (z * y3);
	double t_13 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * t_12)) + (b * ((z * k) - (x * j))));
	double tmp;
	if (i <= -2.3e+159) {
		tmp = i * (t_9 + (t_7 + (c * t_5)));
	} else if (i <= -5.2e+37) {
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_10) - (t * ((c * i) - (a * b)))));
	} else if (i <= -5.6e+30) {
		tmp = ((((t_10 * t_12) + (t_6 * t_1)) + (i * t_7)) - (c * (i * ((x * y) - (z * t))))) + ((i * t_9) + (((t * y2) - (y * y3)) * t_8));
	} else if (i <= -5.5e-108) {
		tmp = t_13;
	} else if (i <= -3e-255) {
		tmp = t_3;
	} else if (i <= 2.9e-149) {
		tmp = t_11;
	} else if (i <= 1.15e-46) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (i <= 3.3e-12) {
		tmp = t_11;
	} else if (i <= 3e+41) {
		tmp = t_3;
	} else if (i <= 2.65e+98) {
		tmp = j * (((y3 * t_2) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	} else if (i <= 2.8e+120) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_6)) + (i * t_4));
	} else if (i <= 3.3e+146) {
		tmp = t_11;
	} else if (i <= 7.8e+188) {
		tmp = t_13;
	} else if (i <= 9e+263) {
		tmp = (c * i) * t_5;
	} else {
		tmp = (y * i) * ((k * y5) - (x * c));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    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 = (y1 * y4) - (y0 * y5)
    t_2 = (y0 * y5) - (y1 * y4)
    t_3 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_2) + (z * ((a * y1) - (c * y0)))))
    t_4 = (x * j) - (z * k)
    t_5 = (z * t) - (x * y)
    t_6 = (k * y2) - (j * y3)
    t_7 = y5 * ((y * k) - (t * j))
    t_8 = (a * y5) - (c * y4)
    t_9 = y1 * t_4
    t_10 = (c * y0) - (a * y1)
    t_11 = y2 * (((k * t_1) + (x * t_10)) + (t * t_8))
    t_12 = (x * y2) - (z * y3)
    t_13 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * t_12)) + (b * ((z * k) - (x * j))))
    if (i <= (-2.3d+159)) then
        tmp = i * (t_9 + (t_7 + (c * t_5)))
    else if (i <= (-5.2d+37)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_10) - (t * ((c * i) - (a * b)))))
    else if (i <= (-5.6d+30)) then
        tmp = ((((t_10 * t_12) + (t_6 * t_1)) + (i * t_7)) - (c * (i * ((x * y) - (z * t))))) + ((i * t_9) + (((t * y2) - (y * y3)) * t_8))
    else if (i <= (-5.5d-108)) then
        tmp = t_13
    else if (i <= (-3d-255)) then
        tmp = t_3
    else if (i <= 2.9d-149) then
        tmp = t_11
    else if (i <= 1.15d-46) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (i <= 3.3d-12) then
        tmp = t_11
    else if (i <= 3d+41) then
        tmp = t_3
    else if (i <= 2.65d+98) then
        tmp = j * (((y3 * t_2) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))))
    else if (i <= 2.8d+120) then
        tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_6)) + (i * t_4))
    else if (i <= 3.3d+146) then
        tmp = t_11
    else if (i <= 7.8d+188) then
        tmp = t_13
    else if (i <= 9d+263) then
        tmp = (c * i) * t_5
    else
        tmp = (y * i) * ((k * y5) - (x * c))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y1 * y4) - (y0 * y5);
	double t_2 = (y0 * y5) - (y1 * y4);
	double t_3 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_2) + (z * ((a * y1) - (c * y0)))));
	double t_4 = (x * j) - (z * k);
	double t_5 = (z * t) - (x * y);
	double t_6 = (k * y2) - (j * y3);
	double t_7 = y5 * ((y * k) - (t * j));
	double t_8 = (a * y5) - (c * y4);
	double t_9 = y1 * t_4;
	double t_10 = (c * y0) - (a * y1);
	double t_11 = y2 * (((k * t_1) + (x * t_10)) + (t * t_8));
	double t_12 = (x * y2) - (z * y3);
	double t_13 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * t_12)) + (b * ((z * k) - (x * j))));
	double tmp;
	if (i <= -2.3e+159) {
		tmp = i * (t_9 + (t_7 + (c * t_5)));
	} else if (i <= -5.2e+37) {
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_10) - (t * ((c * i) - (a * b)))));
	} else if (i <= -5.6e+30) {
		tmp = ((((t_10 * t_12) + (t_6 * t_1)) + (i * t_7)) - (c * (i * ((x * y) - (z * t))))) + ((i * t_9) + (((t * y2) - (y * y3)) * t_8));
	} else if (i <= -5.5e-108) {
		tmp = t_13;
	} else if (i <= -3e-255) {
		tmp = t_3;
	} else if (i <= 2.9e-149) {
		tmp = t_11;
	} else if (i <= 1.15e-46) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (i <= 3.3e-12) {
		tmp = t_11;
	} else if (i <= 3e+41) {
		tmp = t_3;
	} else if (i <= 2.65e+98) {
		tmp = j * (((y3 * t_2) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	} else if (i <= 2.8e+120) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_6)) + (i * t_4));
	} else if (i <= 3.3e+146) {
		tmp = t_11;
	} else if (i <= 7.8e+188) {
		tmp = t_13;
	} else if (i <= 9e+263) {
		tmp = (c * i) * t_5;
	} else {
		tmp = (y * i) * ((k * y5) - (x * c));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y1 * y4) - (y0 * y5)
	t_2 = (y0 * y5) - (y1 * y4)
	t_3 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_2) + (z * ((a * y1) - (c * y0)))))
	t_4 = (x * j) - (z * k)
	t_5 = (z * t) - (x * y)
	t_6 = (k * y2) - (j * y3)
	t_7 = y5 * ((y * k) - (t * j))
	t_8 = (a * y5) - (c * y4)
	t_9 = y1 * t_4
	t_10 = (c * y0) - (a * y1)
	t_11 = y2 * (((k * t_1) + (x * t_10)) + (t * t_8))
	t_12 = (x * y2) - (z * y3)
	t_13 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * t_12)) + (b * ((z * k) - (x * j))))
	tmp = 0
	if i <= -2.3e+159:
		tmp = i * (t_9 + (t_7 + (c * t_5)))
	elif i <= -5.2e+37:
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_10) - (t * ((c * i) - (a * b)))))
	elif i <= -5.6e+30:
		tmp = ((((t_10 * t_12) + (t_6 * t_1)) + (i * t_7)) - (c * (i * ((x * y) - (z * t))))) + ((i * t_9) + (((t * y2) - (y * y3)) * t_8))
	elif i <= -5.5e-108:
		tmp = t_13
	elif i <= -3e-255:
		tmp = t_3
	elif i <= 2.9e-149:
		tmp = t_11
	elif i <= 1.15e-46:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif i <= 3.3e-12:
		tmp = t_11
	elif i <= 3e+41:
		tmp = t_3
	elif i <= 2.65e+98:
		tmp = j * (((y3 * t_2) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))))
	elif i <= 2.8e+120:
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_6)) + (i * t_4))
	elif i <= 3.3e+146:
		tmp = t_11
	elif i <= 7.8e+188:
		tmp = t_13
	elif i <= 9e+263:
		tmp = (c * i) * t_5
	else:
		tmp = (y * i) * ((k * y5) - (x * c))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_2 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_3 = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(j * t_2) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))))
	t_4 = Float64(Float64(x * j) - Float64(z * k))
	t_5 = Float64(Float64(z * t) - Float64(x * y))
	t_6 = Float64(Float64(k * y2) - Float64(j * y3))
	t_7 = Float64(y5 * Float64(Float64(y * k) - Float64(t * j)))
	t_8 = Float64(Float64(a * y5) - Float64(c * y4))
	t_9 = Float64(y1 * t_4)
	t_10 = Float64(Float64(c * y0) - Float64(a * y1))
	t_11 = Float64(y2 * Float64(Float64(Float64(k * t_1) + Float64(x * t_10)) + Float64(t * t_8)))
	t_12 = Float64(Float64(x * y2) - Float64(z * y3))
	t_13 = Float64(y0 * Float64(Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * t_12)) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (i <= -2.3e+159)
		tmp = Float64(i * Float64(t_9 + Float64(t_7 + Float64(c * t_5))));
	elseif (i <= -5.2e+37)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) - Float64(Float64(y3 * t_10) - Float64(t * Float64(Float64(c * i) - Float64(a * b))))));
	elseif (i <= -5.6e+30)
		tmp = Float64(Float64(Float64(Float64(Float64(t_10 * t_12) + Float64(t_6 * t_1)) + Float64(i * t_7)) - Float64(c * Float64(i * Float64(Float64(x * y) - Float64(z * t))))) + Float64(Float64(i * t_9) + Float64(Float64(Float64(t * y2) - Float64(y * y3)) * t_8)));
	elseif (i <= -5.5e-108)
		tmp = t_13;
	elseif (i <= -3e-255)
		tmp = t_3;
	elseif (i <= 2.9e-149)
		tmp = t_11;
	elseif (i <= 1.15e-46)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (i <= 3.3e-12)
		tmp = t_11;
	elseif (i <= 3e+41)
		tmp = t_3;
	elseif (i <= 2.65e+98)
		tmp = Float64(j * Float64(Float64(Float64(y3 * t_2) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (i <= 2.8e+120)
		tmp = Float64(y1 * Float64(Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * t_6)) + Float64(i * t_4)));
	elseif (i <= 3.3e+146)
		tmp = t_11;
	elseif (i <= 7.8e+188)
		tmp = t_13;
	elseif (i <= 9e+263)
		tmp = Float64(Float64(c * i) * t_5);
	else
		tmp = Float64(Float64(y * i) * Float64(Float64(k * y5) - Float64(x * c)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y1 * y4) - (y0 * y5);
	t_2 = (y0 * y5) - (y1 * y4);
	t_3 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_2) + (z * ((a * y1) - (c * y0)))));
	t_4 = (x * j) - (z * k);
	t_5 = (z * t) - (x * y);
	t_6 = (k * y2) - (j * y3);
	t_7 = y5 * ((y * k) - (t * j));
	t_8 = (a * y5) - (c * y4);
	t_9 = y1 * t_4;
	t_10 = (c * y0) - (a * y1);
	t_11 = y2 * (((k * t_1) + (x * t_10)) + (t * t_8));
	t_12 = (x * y2) - (z * y3);
	t_13 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * t_12)) + (b * ((z * k) - (x * j))));
	tmp = 0.0;
	if (i <= -2.3e+159)
		tmp = i * (t_9 + (t_7 + (c * t_5)));
	elseif (i <= -5.2e+37)
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_10) - (t * ((c * i) - (a * b)))));
	elseif (i <= -5.6e+30)
		tmp = ((((t_10 * t_12) + (t_6 * t_1)) + (i * t_7)) - (c * (i * ((x * y) - (z * t))))) + ((i * t_9) + (((t * y2) - (y * y3)) * t_8));
	elseif (i <= -5.5e-108)
		tmp = t_13;
	elseif (i <= -3e-255)
		tmp = t_3;
	elseif (i <= 2.9e-149)
		tmp = t_11;
	elseif (i <= 1.15e-46)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (i <= 3.3e-12)
		tmp = t_11;
	elseif (i <= 3e+41)
		tmp = t_3;
	elseif (i <= 2.65e+98)
		tmp = j * (((y3 * t_2) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	elseif (i <= 2.8e+120)
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * t_6)) + (i * t_4));
	elseif (i <= 3.3e+146)
		tmp = t_11;
	elseif (i <= 7.8e+188)
		tmp = t_13;
	elseif (i <= 9e+263)
		tmp = (c * i) * t_5;
	else
		tmp = (y * i) * ((k * y5) - (x * c));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * t$95$2), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(y1 * t$95$4), $MachinePrecision]}, Block[{t$95$10 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(y2 * N[(N[(N[(k * t$95$1), $MachinePrecision] + N[(x * t$95$10), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(y0 * N[(N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$12), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -2.3e+159], N[(i * N[(t$95$9 + N[(t$95$7 + N[(c * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -5.2e+37], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y3 * t$95$10), $MachinePrecision] - N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -5.6e+30], N[(N[(N[(N[(N[(t$95$10 * t$95$12), $MachinePrecision] + N[(t$95$6 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(i * t$95$7), $MachinePrecision]), $MachinePrecision] - N[(c * N[(i * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(i * t$95$9), $MachinePrecision] + N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * t$95$8), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -5.5e-108], t$95$13, If[LessEqual[i, -3e-255], t$95$3, If[LessEqual[i, 2.9e-149], t$95$11, If[LessEqual[i, 1.15e-46], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3.3e-12], t$95$11, If[LessEqual[i, 3e+41], t$95$3, If[LessEqual[i, 2.65e+98], N[(j * N[(N[(N[(y3 * t$95$2), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 2.8e+120], N[(y1 * N[(N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$6), $MachinePrecision]), $MachinePrecision] + N[(i * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3.3e+146], t$95$11, If[LessEqual[i, 7.8e+188], t$95$13, If[LessEqual[i, 9e+263], N[(N[(c * i), $MachinePrecision] * t$95$5), $MachinePrecision], N[(N[(y * i), $MachinePrecision] * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if i < -2.29999999999999995e159

   1. Initial program 26.0%

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

   3. Taylor expanded in i around -inf 64.5%

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

   if -2.29999999999999995e159 < i < -5.1999999999999998e37

   1. Initial program 20.7%

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

   3. Taylor expanded in z around -inf 62.3%

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

   if -5.1999999999999998e37 < i < -5.59999999999999966e30

   1. Initial program 99.2%

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

   3. Taylor expanded in b around 0 74.2%

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

   if -5.59999999999999966e30 < i < -5.50000000000000031e-108 or 3.30000000000000016e146 < i < 7.7999999999999999e188

   1. Initial program 26.5%

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

   3. Taylor expanded in y0 around inf 68.2%

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

   if -5.50000000000000031e-108 < i < -3.00000000000000002e-255 or 3.3000000000000001e-12 < i < 2.9999999999999998e41

   1. Initial program 33.4%

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

   3. Taylor expanded in y3 around -inf 69.2%

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

   if -3.00000000000000002e-255 < i < 2.9e-149 or 1.15e-46 < i < 3.3000000000000001e-12 or 2.8000000000000001e120 < i < 3.30000000000000016e146

   1. Initial program 31.0%

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

   3. Taylor expanded in y2 around inf 76.5%

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

   if 2.9e-149 < i < 1.15e-46

   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 i around -inf 37.8%

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

   4. Taylor expanded in k around inf 56.9%

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

      1. distribute-lft-out-- 56.9%

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

      2. *-commutative 56.9%

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

   6. Simplified 56.9%

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

   if 2.9999999999999998e41 < i < 2.64999999999999999e98

   1. Initial program 13.8%

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

   3. Taylor expanded in j around inf 66.9%

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

   if 2.64999999999999999e98 < i < 2.8000000000000001e120

   1. Initial program 25.0%

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

   3. Taylor expanded in y1 around inf 75.0%

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

   if 7.7999999999999999e188 < i < 9.00000000000000029e263

   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 i around -inf 61.2%

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

   4. Taylor expanded in c around inf 74.2%

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

      1. associate-*r* 86.7%

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

      2. *-commutative 86.7%

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

      3. *-commutative 86.7%

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

   6. Simplified 86.7%

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

   if 9.00000000000000029e263 < i

   1. Initial program 28.6%

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

   3. Taylor expanded in i around -inf 71.2%

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

   4. Taylor expanded in y around -inf 71.3%

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

      1. mul-1-neg 71.3%

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

      2. associate-*r* 71.5%

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

      3. distribute-lft-neg-in 71.5%

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

      4. +-commutative 71.5%

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

      5. mul-1-neg 71.5%

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

      6. unsub-neg 71.5%

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

      7. *-commutative 71.5%

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

   6. Simplified 71.5%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-i \cdot y\right) \cdot \left(y5 \cdot k - c \cdot x\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 69.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -2.3 \cdot 10^{+159}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;i \leq -5.2 \cdot 10^{+37}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;i \leq -5.6 \cdot 10^{+30}:\\ \;\;\;\;\left(\left(\left(\left(c \cdot y0 - a \cdot y1\right) \cdot \left(x \cdot y2 - z \cdot y3\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right) - c \cdot \left(i \cdot \left(x \cdot y - z \cdot t\right)\right)\right) + \left(i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right) + \left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -5.5 \cdot 10^{-108}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -3 \cdot 10^{-255}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;i \leq 2.9 \cdot 10^{-149}:\\ \;\;\;\;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}\;i \leq 1.15 \cdot 10^{-46}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 3.3 \cdot 10^{-12}:\\ \;\;\;\;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}\;i \leq 3 \cdot 10^{+41}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;i \leq 2.65 \cdot 10^{+98}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 2.8 \cdot 10^{+120}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;i \leq 3.3 \cdot 10^{+146}:\\ \;\;\;\;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}\;i \leq 7.8 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq 9 \cdot 10^{+263}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 5: 38.3% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := c \cdot y4 - a \cdot y5\\ t_3 := a \cdot y5 - c \cdot y4\\ t_4 := y5 \cdot \left(y \cdot k - t \cdot j\right)\\ t_5 := 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)\\ t_6 := y3 \cdot \left(y \cdot t\_2 + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{if}\;x \leq -2.1 \cdot 10^{+25}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_1\right) + t \cdot t\_3\right)\\ \mathbf{elif}\;x \leq -2.85 \cdot 10^{-116}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-195}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;x \leq -2.85 \cdot 10^{-257}:\\ \;\;\;\;y \cdot \left(y3 \cdot t\_2\right)\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-291}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;x \leq 2.42 \cdot 10^{-278}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 10^{-239}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;x \leq 7 \cdot 10^{-174}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;x \leq 4.6 \cdot 10^{-96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(t\_4 + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.12 \cdot 10^{-45}:\\ \;\;\;\;t \cdot \left(y2 \cdot t\_3\right)\\ \mathbf{elif}\;x \leq 9.2 \cdot 10^{+31}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;x \leq 5 \cdot 10^{+32}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{+81}:\\ \;\;\;\;i \cdot t\_4 - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot t\_1 - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (- (* c y4) (* a y5)))
        (t_3 (- (* a y5) (* c y4)))
        (t_4 (* y5 (- (* y k) (* t j))))
        (t_5
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2))))))
        (t_6
         (*
          y3
          (+
           (* y t_2)
           (+ (* j (- (* y0 y5) (* y1 y4))) (* z (- (* a y1) (* c y0))))))))
   (if (<= x -2.1e+25)
     (* y2 (+ (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_1)) (* t t_3)))
     (if (<= x -2.85e-116)
       t_6
       (if (<= x -8.5e-195)
         (* (* z i) (- (* t c) (* k y1)))
         (if (<= x -2.85e-257)
           (* y (* y3 t_2))
           (if (<= x 6.5e-291)
             t_5
             (if (<= x 2.42e-278)
               (* j (* y5 (- (* y0 y3) (* t i))))
               (if (<= x 1e-239)
                 (* (- (* x y0) (* t y4)) (* c y2))
                 (if (<= x 7e-174)
                   t_6
                   (if (<= x 4.6e-96)
                     (*
                      i
                      (+
                       (* y1 (- (* x j) (* z k)))
                       (+ t_4 (* c (- (* z t) (* x y))))))
                     (if (<= x 1.12e-45)
                       (* t (* y2 t_3))
                       (if (<= x 9.2e+31)
                         t_5
                         (if (<= x 5e+32)
                           (* a (* t (* y2 y5)))
                           (if (<= x 2e+81)
                             (- (* i t_4) (* (* z y1) (* i k)))
                             (*
                              x
                              (+
                               (- (* y2 t_1) (* y (- (* c i) (* a b))))
                               (* j (- (* i y1) (* b y0))))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = (c * y4) - (a * y5);
	double t_3 = (a * y5) - (c * y4);
	double t_4 = y5 * ((y * k) - (t * j));
	double t_5 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_6 = y3 * ((y * t_2) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	double tmp;
	if (x <= -2.1e+25) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * t_3));
	} else if (x <= -2.85e-116) {
		tmp = t_6;
	} else if (x <= -8.5e-195) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (x <= -2.85e-257) {
		tmp = y * (y3 * t_2);
	} else if (x <= 6.5e-291) {
		tmp = t_5;
	} else if (x <= 2.42e-278) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (x <= 1e-239) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (x <= 7e-174) {
		tmp = t_6;
	} else if (x <= 4.6e-96) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_4 + (c * ((z * t) - (x * y)))));
	} else if (x <= 1.12e-45) {
		tmp = t * (y2 * t_3);
	} else if (x <= 9.2e+31) {
		tmp = t_5;
	} else if (x <= 5e+32) {
		tmp = a * (t * (y2 * y5));
	} else if (x <= 2e+81) {
		tmp = (i * t_4) - ((z * y1) * (i * k));
	} else {
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = (c * y4) - (a * y5)
    t_3 = (a * y5) - (c * y4)
    t_4 = y5 * ((y * k) - (t * j))
    t_5 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    t_6 = y3 * ((y * t_2) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
    if (x <= (-2.1d+25)) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * t_3))
    else if (x <= (-2.85d-116)) then
        tmp = t_6
    else if (x <= (-8.5d-195)) then
        tmp = (z * i) * ((t * c) - (k * y1))
    else if (x <= (-2.85d-257)) then
        tmp = y * (y3 * t_2)
    else if (x <= 6.5d-291) then
        tmp = t_5
    else if (x <= 2.42d-278) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (x <= 1d-239) then
        tmp = ((x * y0) - (t * y4)) * (c * y2)
    else if (x <= 7d-174) then
        tmp = t_6
    else if (x <= 4.6d-96) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + (t_4 + (c * ((z * t) - (x * y)))))
    else if (x <= 1.12d-45) then
        tmp = t * (y2 * t_3)
    else if (x <= 9.2d+31) then
        tmp = t_5
    else if (x <= 5d+32) then
        tmp = a * (t * (y2 * y5))
    else if (x <= 2d+81) then
        tmp = (i * t_4) - ((z * y1) * (i * k))
    else
        tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (c * y0) - (a * y1);
	double t_2 = (c * y4) - (a * y5);
	double t_3 = (a * y5) - (c * y4);
	double t_4 = y5 * ((y * k) - (t * j));
	double t_5 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	double t_6 = y3 * ((y * t_2) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	double tmp;
	if (x <= -2.1e+25) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * t_3));
	} else if (x <= -2.85e-116) {
		tmp = t_6;
	} else if (x <= -8.5e-195) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (x <= -2.85e-257) {
		tmp = y * (y3 * t_2);
	} else if (x <= 6.5e-291) {
		tmp = t_5;
	} else if (x <= 2.42e-278) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (x <= 1e-239) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (x <= 7e-174) {
		tmp = t_6;
	} else if (x <= 4.6e-96) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_4 + (c * ((z * t) - (x * y)))));
	} else if (x <= 1.12e-45) {
		tmp = t * (y2 * t_3);
	} else if (x <= 9.2e+31) {
		tmp = t_5;
	} else if (x <= 5e+32) {
		tmp = a * (t * (y2 * y5));
	} else if (x <= 2e+81) {
		tmp = (i * t_4) - ((z * y1) * (i * k));
	} else {
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (c * y0) - (a * y1)
	t_2 = (c * y4) - (a * y5)
	t_3 = (a * y5) - (c * y4)
	t_4 = y5 * ((y * k) - (t * j))
	t_5 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	t_6 = y3 * ((y * t_2) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))))
	tmp = 0
	if x <= -2.1e+25:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * t_3))
	elif x <= -2.85e-116:
		tmp = t_6
	elif x <= -8.5e-195:
		tmp = (z * i) * ((t * c) - (k * y1))
	elif x <= -2.85e-257:
		tmp = y * (y3 * t_2)
	elif x <= 6.5e-291:
		tmp = t_5
	elif x <= 2.42e-278:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif x <= 1e-239:
		tmp = ((x * y0) - (t * y4)) * (c * y2)
	elif x <= 7e-174:
		tmp = t_6
	elif x <= 4.6e-96:
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_4 + (c * ((z * t) - (x * y)))))
	elif x <= 1.12e-45:
		tmp = t * (y2 * t_3)
	elif x <= 9.2e+31:
		tmp = t_5
	elif x <= 5e+32:
		tmp = a * (t * (y2 * y5))
	elif x <= 2e+81:
		tmp = (i * t_4) - ((z * y1) * (i * k))
	else:
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(Float64(c * y4) - Float64(a * y5))
	t_3 = Float64(Float64(a * y5) - Float64(c * y4))
	t_4 = Float64(y5 * Float64(Float64(y * k) - Float64(t * j)))
	t_5 = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_6 = Float64(y3 * Float64(Float64(y * t_2) + Float64(Float64(j * Float64(Float64(y0 * y5) - Float64(y1 * y4))) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))))
	tmp = 0.0
	if (x <= -2.1e+25)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_1)) + Float64(t * t_3)));
	elseif (x <= -2.85e-116)
		tmp = t_6;
	elseif (x <= -8.5e-195)
		tmp = Float64(Float64(z * i) * Float64(Float64(t * c) - Float64(k * y1)));
	elseif (x <= -2.85e-257)
		tmp = Float64(y * Float64(y3 * t_2));
	elseif (x <= 6.5e-291)
		tmp = t_5;
	elseif (x <= 2.42e-278)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (x <= 1e-239)
		tmp = Float64(Float64(Float64(x * y0) - Float64(t * y4)) * Float64(c * y2));
	elseif (x <= 7e-174)
		tmp = t_6;
	elseif (x <= 4.6e-96)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(t_4 + Float64(c * Float64(Float64(z * t) - Float64(x * y))))));
	elseif (x <= 1.12e-45)
		tmp = Float64(t * Float64(y2 * t_3));
	elseif (x <= 9.2e+31)
		tmp = t_5;
	elseif (x <= 5e+32)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	elseif (x <= 2e+81)
		tmp = Float64(Float64(i * t_4) - Float64(Float64(z * y1) * Float64(i * k)));
	else
		tmp = Float64(x * Float64(Float64(Float64(y2 * t_1) - Float64(y * Float64(Float64(c * i) - Float64(a * b)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (c * y0) - (a * y1);
	t_2 = (c * y4) - (a * y5);
	t_3 = (a * y5) - (c * y4);
	t_4 = y5 * ((y * k) - (t * j));
	t_5 = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	t_6 = y3 * ((y * t_2) + ((j * ((y0 * y5) - (y1 * y4))) + (z * ((a * y1) - (c * y0)))));
	tmp = 0.0;
	if (x <= -2.1e+25)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * t_3));
	elseif (x <= -2.85e-116)
		tmp = t_6;
	elseif (x <= -8.5e-195)
		tmp = (z * i) * ((t * c) - (k * y1));
	elseif (x <= -2.85e-257)
		tmp = y * (y3 * t_2);
	elseif (x <= 6.5e-291)
		tmp = t_5;
	elseif (x <= 2.42e-278)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (x <= 1e-239)
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	elseif (x <= 7e-174)
		tmp = t_6;
	elseif (x <= 4.6e-96)
		tmp = i * ((y1 * ((x * j) - (z * k))) + (t_4 + (c * ((z * t) - (x * y)))));
	elseif (x <= 1.12e-45)
		tmp = t * (y2 * t_3);
	elseif (x <= 9.2e+31)
		tmp = t_5;
	elseif (x <= 5e+32)
		tmp = a * (t * (y2 * y5));
	elseif (x <= 2e+81)
		tmp = (i * t_4) - ((z * y1) * (i * k));
	else
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $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$6 = N[(y3 * N[(N[(y * t$95$2), $MachinePrecision] + N[(N[(j * N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -2.1e+25], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.85e-116], t$95$6, If[LessEqual[x, -8.5e-195], N[(N[(z * i), $MachinePrecision] * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.85e-257], N[(y * N[(y3 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 6.5e-291], t$95$5, If[LessEqual[x, 2.42e-278], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1e-239], N[(N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision] * N[(c * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 7e-174], t$95$6, If[LessEqual[x, 4.6e-96], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t$95$4 + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.12e-45], N[(t * N[(y2 * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 9.2e+31], t$95$5, If[LessEqual[x, 5e+32], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2e+81], N[(N[(i * t$95$4), $MachinePrecision] - N[(N[(z * y1), $MachinePrecision] * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * N[(N[(N[(y2 * t$95$1), $MachinePrecision] - N[(y * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if x < -2.0999999999999999e25

   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 56.0%

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

   if -2.0999999999999999e25 < x < -2.8499999999999998e-116 or 1.0000000000000001e-239 < x < 6.99999999999999975e-174

   1. Initial program 34.8%

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

   3. Taylor expanded in y3 around -inf 67.8%

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

   if -2.8499999999999998e-116 < x < -8.50000000000000023e-195

   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 i around -inf 55.2%

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

   4. Taylor expanded in y5 around 0 55.2%

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

   5. Taylor expanded in z around inf 70.6%

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

      1. associate-*r* 70.6%

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

      2. sub-neg 70.6%

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

      3. mul-1-neg 70.6%

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

      4. distribute-lft-neg-out 70.6%

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

      5. mul-1-neg 70.6%

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

      6. remove-double-neg 70.6%

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

      7. +-commutative 70.6%

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

      8. cancel-sign-sub-inv 70.6%

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

   7. Simplified 70.6%

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

   if -8.50000000000000023e-195 < x < -2.8499999999999999e-257

   1. Initial program 40.2%

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

   3. Taylor expanded in y3 around -inf 54.2%

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

   4. Taylor expanded in y around inf 60.5%

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

   if -2.8499999999999999e-257 < x < 6.50000000000000002e-291 or 1.1199999999999999e-45 < x < 9.1999999999999998e31

   1. Initial program 21.2%

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

   3. Taylor expanded in y4 around inf 71.4%

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

   if 6.50000000000000002e-291 < x < 2.41999999999999997e-278

   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 j around inf 66.7%

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

   4. Taylor expanded in y5 around inf 100.0%

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

      1. +-commutative 100.0%

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

      2. mul-1-neg 100.0%

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

      3. unsub-neg 100.0%

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

      4. *-commutative 100.0%

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

      5. *-commutative 100.0%

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

   6. Simplified 100.0%

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

   if 2.41999999999999997e-278 < x < 1.0000000000000001e-239

   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 y2 around inf 47.0%

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

   4. Taylor expanded in a around 0 56.1%

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

   5. Taylor expanded in c around inf 65.1%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 65.1%

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

      2. *-commutative 65.1%

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

      3. associate-*l* 73.3%

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

      4. *-commutative 73.3%

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

      5. *-commutative 73.3%

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

   7. Simplified 73.3%

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

   if 6.99999999999999975e-174 < x < 4.6e-96

   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 i around -inf 73.9%

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

   if 4.6e-96 < x < 1.1199999999999999e-45

   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 y2 around inf 75.5%

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

   4. Taylor expanded in t around inf 83.6%

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

      1. *-commutative 83.6%

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

   6. Simplified 83.6%

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

   if 9.1999999999999998e31 < x < 4.9999999999999997e32

   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 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%

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

      1. *-commutative 100.0%

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

   6. Simplified 100.0%

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

   7. Taylor expanded in a around inf 100.0%

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

      1. *-commutative 100.0%

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

   9. Simplified 100.0%

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

   if 4.9999999999999997e32 < x < 1.99999999999999984e81

   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 i around -inf 46.2%

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

   4. Taylor expanded in y5 around 0 46.2%

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

   5. Taylor expanded in k around inf 69.4%

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

      1. associate-*r* 69.4%

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

      2. *-commutative 69.4%

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

      3. *-commutative 69.4%

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

   7. Simplified 69.4%

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

   if 1.99999999999999984e81 < x

   1. Initial program 21.2%

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

   3. Taylor expanded in x around inf 60.4%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 66.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.1 \cdot 10^{+25}:\\ \;\;\;\;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}\;x \leq -2.85 \cdot 10^{-116}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;x \leq -8.5 \cdot 10^{-195}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;x \leq -2.85 \cdot 10^{-257}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-291}:\\ \;\;\;\;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}\;x \leq 2.42 \cdot 10^{-278}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;x \leq 10^{-239}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;x \leq 7 \cdot 10^{-174}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;x \leq 4.6 \cdot 10^{-96}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;x \leq 1.12 \cdot 10^{-45}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 9.2 \cdot 10^{+31}:\\ \;\;\;\;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}\;x \leq 5 \cdot 10^{+32}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{+81}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 6: 39.5% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot y5 - y1 \cdot y4\\ t_2 := x \cdot j - z \cdot k\\ t_3 := y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_4 := z \cdot t - x \cdot y\\ t_5 := i \cdot \left(y1 \cdot t\_2 + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot t\_4\right)\right)\\ t_6 := y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot t\_1 + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ t_7 := c \cdot y0 - a \cdot y1\\ t_8 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_7\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;i \leq -2.4 \cdot 10^{+159}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;i \leq -4.5 \cdot 10^{+77}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot t\_7 - t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;i \leq -2.22 \cdot 10^{+30}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;i \leq -3.5 \cdot 10^{-108}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq -3.4 \cdot 10^{-252}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;i \leq 2.6 \cdot 10^{-149}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;i \leq 5.2 \cdot 10^{-47}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 1.66 \cdot 10^{-12}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;i \leq 4.7 \cdot 10^{+42}:\\ \;\;\;\;t\_6\\ \mathbf{elif}\;i \leq 1.1 \cdot 10^{+98}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot t\_1 + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 1.6 \cdot 10^{+118}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot t\_2\right)\\ \mathbf{elif}\;i \leq 1.7 \cdot 10^{+146}:\\ \;\;\;\;t\_8\\ \mathbf{elif}\;i \leq 7.5 \cdot 10^{+188}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq 9.3 \cdot 10^{+254}:\\ \;\;\;\;\left(c \cdot i\right) \cdot t\_4\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y0 y5) (* y1 y4)))
        (t_2 (- (* x j) (* z k)))
        (t_3
         (*
          y0
          (+
           (+ (* y5 (- (* j y3) (* k y2))) (* c (- (* x y2) (* z y3))))
           (* b (- (* z k) (* x j))))))
        (t_4 (- (* z t) (* x y)))
        (t_5 (* i (+ (* y1 t_2) (+ (* y5 (- (* y k) (* t j))) (* c t_4)))))
        (t_6
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (+ (* j t_1) (* z (- (* a y1) (* c y0)))))))
        (t_7 (- (* c y0) (* a y1)))
        (t_8
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_7))
           (* t (- (* a y5) (* c y4)))))))
   (if (<= i -2.4e+159)
     t_5
     (if (<= i -4.5e+77)
       (*
        z
        (-
         (* k (- (* b y0) (* i y1)))
         (- (* y3 t_7) (* t (- (* c i) (* a b))))))
       (if (<= i -2.22e+30)
         t_5
         (if (<= i -3.5e-108)
           t_3
           (if (<= i -3.4e-252)
             t_6
             (if (<= i 2.6e-149)
               t_8
               (if (<= i 5.2e-47)
                 (* i (* k (- (* y y5) (* z y1))))
                 (if (<= i 1.66e-12)
                   t_8
                   (if (<= i 4.7e+42)
                     t_6
                     (if (<= i 1.1e+98)
                       (*
                        j
                        (+
                         (+ (* y3 t_1) (* t (- (* b y4) (* i y5))))
                         (* x (- (* i y1) (* b y0)))))
                       (if (<= i 1.6e+118)
                         (*
                          y1
                          (+
                           (+
                            (* a (- (* z y3) (* x y2)))
                            (* y4 (- (* k y2) (* j y3))))
                           (* i t_2)))
                         (if (<= i 1.7e+146)
                           t_8
                           (if (<= i 7.5e+188)
                             t_3
                             (if (<= i 9.3e+254)
                               (* (* c i) t_4)
                               (* (* y i) (- (* k y5) (* x c)))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = (x * j) - (z * k);
	double t_3 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	double t_4 = (z * t) - (x * y);
	double t_5 = i * ((y1 * t_2) + ((y5 * ((y * k) - (t * j))) + (c * t_4)));
	double t_6 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_1) + (z * ((a * y1) - (c * y0)))));
	double t_7 = (c * y0) - (a * y1);
	double t_8 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_7)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (i <= -2.4e+159) {
		tmp = t_5;
	} else if (i <= -4.5e+77) {
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_7) - (t * ((c * i) - (a * b)))));
	} else if (i <= -2.22e+30) {
		tmp = t_5;
	} else if (i <= -3.5e-108) {
		tmp = t_3;
	} else if (i <= -3.4e-252) {
		tmp = t_6;
	} else if (i <= 2.6e-149) {
		tmp = t_8;
	} else if (i <= 5.2e-47) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (i <= 1.66e-12) {
		tmp = t_8;
	} else if (i <= 4.7e+42) {
		tmp = t_6;
	} else if (i <= 1.1e+98) {
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	} else if (i <= 1.6e+118) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * t_2));
	} else if (i <= 1.7e+146) {
		tmp = t_8;
	} else if (i <= 7.5e+188) {
		tmp = t_3;
	} else if (i <= 9.3e+254) {
		tmp = (c * i) * t_4;
	} else {
		tmp = (y * i) * ((k * y5) - (x * c));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: 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 = (y0 * y5) - (y1 * y4)
    t_2 = (x * j) - (z * k)
    t_3 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
    t_4 = (z * t) - (x * y)
    t_5 = i * ((y1 * t_2) + ((y5 * ((y * k) - (t * j))) + (c * t_4)))
    t_6 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_1) + (z * ((a * y1) - (c * y0)))))
    t_7 = (c * y0) - (a * y1)
    t_8 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_7)) + (t * ((a * y5) - (c * y4))))
    if (i <= (-2.4d+159)) then
        tmp = t_5
    else if (i <= (-4.5d+77)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_7) - (t * ((c * i) - (a * b)))))
    else if (i <= (-2.22d+30)) then
        tmp = t_5
    else if (i <= (-3.5d-108)) then
        tmp = t_3
    else if (i <= (-3.4d-252)) then
        tmp = t_6
    else if (i <= 2.6d-149) then
        tmp = t_8
    else if (i <= 5.2d-47) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (i <= 1.66d-12) then
        tmp = t_8
    else if (i <= 4.7d+42) then
        tmp = t_6
    else if (i <= 1.1d+98) then
        tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))))
    else if (i <= 1.6d+118) then
        tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * t_2))
    else if (i <= 1.7d+146) then
        tmp = t_8
    else if (i <= 7.5d+188) then
        tmp = t_3
    else if (i <= 9.3d+254) then
        tmp = (c * i) * t_4
    else
        tmp = (y * i) * ((k * y5) - (x * c))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = (x * j) - (z * k);
	double t_3 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	double t_4 = (z * t) - (x * y);
	double t_5 = i * ((y1 * t_2) + ((y5 * ((y * k) - (t * j))) + (c * t_4)));
	double t_6 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_1) + (z * ((a * y1) - (c * y0)))));
	double t_7 = (c * y0) - (a * y1);
	double t_8 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_7)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (i <= -2.4e+159) {
		tmp = t_5;
	} else if (i <= -4.5e+77) {
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_7) - (t * ((c * i) - (a * b)))));
	} else if (i <= -2.22e+30) {
		tmp = t_5;
	} else if (i <= -3.5e-108) {
		tmp = t_3;
	} else if (i <= -3.4e-252) {
		tmp = t_6;
	} else if (i <= 2.6e-149) {
		tmp = t_8;
	} else if (i <= 5.2e-47) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (i <= 1.66e-12) {
		tmp = t_8;
	} else if (i <= 4.7e+42) {
		tmp = t_6;
	} else if (i <= 1.1e+98) {
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	} else if (i <= 1.6e+118) {
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * t_2));
	} else if (i <= 1.7e+146) {
		tmp = t_8;
	} else if (i <= 7.5e+188) {
		tmp = t_3;
	} else if (i <= 9.3e+254) {
		tmp = (c * i) * t_4;
	} else {
		tmp = (y * i) * ((k * y5) - (x * c));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y0 * y5) - (y1 * y4)
	t_2 = (x * j) - (z * k)
	t_3 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
	t_4 = (z * t) - (x * y)
	t_5 = i * ((y1 * t_2) + ((y5 * ((y * k) - (t * j))) + (c * t_4)))
	t_6 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_1) + (z * ((a * y1) - (c * y0)))))
	t_7 = (c * y0) - (a * y1)
	t_8 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_7)) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if i <= -2.4e+159:
		tmp = t_5
	elif i <= -4.5e+77:
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_7) - (t * ((c * i) - (a * b)))))
	elif i <= -2.22e+30:
		tmp = t_5
	elif i <= -3.5e-108:
		tmp = t_3
	elif i <= -3.4e-252:
		tmp = t_6
	elif i <= 2.6e-149:
		tmp = t_8
	elif i <= 5.2e-47:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif i <= 1.66e-12:
		tmp = t_8
	elif i <= 4.7e+42:
		tmp = t_6
	elif i <= 1.1e+98:
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))))
	elif i <= 1.6e+118:
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * t_2))
	elif i <= 1.7e+146:
		tmp = t_8
	elif i <= 7.5e+188:
		tmp = t_3
	elif i <= 9.3e+254:
		tmp = (c * i) * t_4
	else:
		tmp = (y * i) * ((k * y5) - (x * c))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_2 = Float64(Float64(x * j) - Float64(z * k))
	t_3 = Float64(y0 * Float64(Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	t_4 = Float64(Float64(z * t) - Float64(x * y))
	t_5 = Float64(i * Float64(Float64(y1 * t_2) + Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) + Float64(c * t_4))))
	t_6 = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(j * t_1) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))))
	t_7 = Float64(Float64(c * y0) - Float64(a * y1))
	t_8 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_7)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (i <= -2.4e+159)
		tmp = t_5;
	elseif (i <= -4.5e+77)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) - Float64(Float64(y3 * t_7) - Float64(t * Float64(Float64(c * i) - Float64(a * b))))));
	elseif (i <= -2.22e+30)
		tmp = t_5;
	elseif (i <= -3.5e-108)
		tmp = t_3;
	elseif (i <= -3.4e-252)
		tmp = t_6;
	elseif (i <= 2.6e-149)
		tmp = t_8;
	elseif (i <= 5.2e-47)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (i <= 1.66e-12)
		tmp = t_8;
	elseif (i <= 4.7e+42)
		tmp = t_6;
	elseif (i <= 1.1e+98)
		tmp = Float64(j * Float64(Float64(Float64(y3 * t_1) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (i <= 1.6e+118)
		tmp = Float64(y1 * Float64(Float64(Float64(a * Float64(Float64(z * y3) - Float64(x * y2))) + Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(i * t_2)));
	elseif (i <= 1.7e+146)
		tmp = t_8;
	elseif (i <= 7.5e+188)
		tmp = t_3;
	elseif (i <= 9.3e+254)
		tmp = Float64(Float64(c * i) * t_4);
	else
		tmp = Float64(Float64(y * i) * Float64(Float64(k * y5) - Float64(x * c)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y0 * y5) - (y1 * y4);
	t_2 = (x * j) - (z * k);
	t_3 = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	t_4 = (z * t) - (x * y);
	t_5 = i * ((y1 * t_2) + ((y5 * ((y * k) - (t * j))) + (c * t_4)));
	t_6 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_1) + (z * ((a * y1) - (c * y0)))));
	t_7 = (c * y0) - (a * y1);
	t_8 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_7)) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (i <= -2.4e+159)
		tmp = t_5;
	elseif (i <= -4.5e+77)
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_7) - (t * ((c * i) - (a * b)))));
	elseif (i <= -2.22e+30)
		tmp = t_5;
	elseif (i <= -3.5e-108)
		tmp = t_3;
	elseif (i <= -3.4e-252)
		tmp = t_6;
	elseif (i <= 2.6e-149)
		tmp = t_8;
	elseif (i <= 5.2e-47)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (i <= 1.66e-12)
		tmp = t_8;
	elseif (i <= 4.7e+42)
		tmp = t_6;
	elseif (i <= 1.1e+98)
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	elseif (i <= 1.6e+118)
		tmp = y1 * (((a * ((z * y3) - (x * y2))) + (y4 * ((k * y2) - (j * y3)))) + (i * t_2));
	elseif (i <= 1.7e+146)
		tmp = t_8;
	elseif (i <= 7.5e+188)
		tmp = t_3;
	elseif (i <= 9.3e+254)
		tmp = (c * i) * t_4;
	else
		tmp = (y * i) * ((k * y5) - (x * c));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y0 * N[(N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(i * N[(N[(y1 * t$95$2), $MachinePrecision] + N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * t$95$1), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$7), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -2.4e+159], t$95$5, If[LessEqual[i, -4.5e+77], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y3 * t$95$7), $MachinePrecision] - N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -2.22e+30], t$95$5, If[LessEqual[i, -3.5e-108], t$95$3, If[LessEqual[i, -3.4e-252], t$95$6, If[LessEqual[i, 2.6e-149], t$95$8, If[LessEqual[i, 5.2e-47], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.66e-12], t$95$8, If[LessEqual[i, 4.7e+42], t$95$6, If[LessEqual[i, 1.1e+98], N[(j * N[(N[(N[(y3 * t$95$1), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.6e+118], N[(y1 * N[(N[(N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * t$95$2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.7e+146], t$95$8, If[LessEqual[i, 7.5e+188], t$95$3, If[LessEqual[i, 9.3e+254], N[(N[(c * i), $MachinePrecision] * t$95$4), $MachinePrecision], N[(N[(y * i), $MachinePrecision] * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if i < -2.4e159 or -4.50000000000000024e77 < i < -2.22e30

   1. Initial program 31.6%

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

   3. Taylor expanded in i around -inf 65.7%

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

   if -2.4e159 < i < -4.50000000000000024e77

   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 z around -inf 61.8%

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

   if -2.22e30 < i < -3.4999999999999999e-108 or 1.69999999999999995e146 < i < 7.4999999999999996e188

   1. Initial program 26.5%

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

   3. Taylor expanded in y0 around inf 68.2%

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

   if -3.4999999999999999e-108 < i < -3.4e-252 or 1.65999999999999999e-12 < i < 4.69999999999999986e42

   1. Initial program 33.4%

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

   3. Taylor expanded in y3 around -inf 69.2%

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

   if -3.4e-252 < i < 2.59999999999999999e-149 or 5.2e-47 < i < 1.65999999999999999e-12 or 1.60000000000000008e118 < i < 1.69999999999999995e146

   1. Initial program 31.0%

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

   3. Taylor expanded in y2 around inf 76.5%

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

   if 2.59999999999999999e-149 < i < 5.2e-47

   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 i around -inf 37.8%

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

   4. Taylor expanded in k around inf 56.9%

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

      1. distribute-lft-out-- 56.9%

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

      2. *-commutative 56.9%

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

   6. Simplified 56.9%

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

   if 4.69999999999999986e42 < i < 1.10000000000000004e98

   1. Initial program 13.8%

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

   3. Taylor expanded in j around inf 66.9%

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

   if 1.10000000000000004e98 < i < 1.60000000000000008e118

   1. Initial program 25.0%

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

   3. Taylor expanded in y1 around inf 75.0%

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

   if 7.4999999999999996e188 < i < 9.29999999999999954e254

   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 i around -inf 61.2%

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

   4. Taylor expanded in c around inf 74.2%

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

      1. associate-*r* 86.7%

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

      2. *-commutative 86.7%

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

      3. *-commutative 86.7%

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

   6. Simplified 86.7%

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

   if 9.29999999999999954e254 < i

   1. Initial program 28.6%

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

   3. Taylor expanded in i around -inf 71.2%

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

   4. Taylor expanded in y around -inf 71.3%

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

      1. mul-1-neg 71.3%

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

      2. associate-*r* 71.5%

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

      3. distribute-lft-neg-in 71.5%

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

      4. +-commutative 71.5%

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

      5. mul-1-neg 71.5%

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

      6. unsub-neg 71.5%

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

      7. *-commutative 71.5%

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

   6. Simplified 71.5%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-i \cdot y\right) \cdot \left(y5 \cdot k - c \cdot x\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 69.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -2.4 \cdot 10^{+159}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;i \leq -4.5 \cdot 10^{+77}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;i \leq -2.22 \cdot 10^{+30}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;i \leq -3.5 \cdot 10^{-108}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -3.4 \cdot 10^{-252}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;i \leq 2.6 \cdot 10^{-149}:\\ \;\;\;\;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}\;i \leq 5.2 \cdot 10^{-47}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 1.66 \cdot 10^{-12}:\\ \;\;\;\;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}\;i \leq 4.7 \cdot 10^{+42}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;i \leq 1.1 \cdot 10^{+98}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 1.6 \cdot 10^{+118}:\\ \;\;\;\;y1 \cdot \left(\left(a \cdot \left(z \cdot y3 - x \cdot y2\right) + y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + i \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;i \leq 1.7 \cdot 10^{+146}:\\ \;\;\;\;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}\;i \leq 7.5 \cdot 10^{+188}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq 9.3 \cdot 10^{+254}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 7: 34.5% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := y1 \cdot \left(x \cdot j - z \cdot k\right)\\ t_3 := i \cdot \left(t\_2 + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ t_4 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t\_1\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;c \leq -1.02 \cdot 10^{+231}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;c \leq -8.5 \cdot 10^{+138}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;c \leq -5.1 \cdot 10^{-8}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq -2.15 \cdot 10^{-153}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot t\_1 - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -3 \cdot 10^{-271}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-259}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;c \leq 5.8 \cdot 10^{-180}:\\ \;\;\;\;i \cdot t\_2\\ \mathbf{elif}\;c \leq 9.2 \cdot 10^{-111}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;c \leq 1.16 \cdot 10^{-95}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;c \leq 1.55 \cdot 10^{-68}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 0.029:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq 3.6 \cdot 10^{+94}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_4\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (* y1 (- (* x j) (* z k))))
        (t_3
         (*
          i
          (+ t_2 (+ (* y5 (- (* y k) (* t j))) (* c (- (* z t) (* x y)))))))
        (t_4
         (*
          y2
          (+
           (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_1))
           (* t (- (* a y5) (* c y4)))))))
   (if (<= c -1.02e+231)
     (* (* y3 y4) (* y c))
     (if (<= c -8.5e+138)
       (* (- (* x y0) (* t y4)) (* c y2))
       (if (<= c -5.1e-8)
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))
         (if (<= c -2.15e-153)
           (*
            x
            (+
             (- (* y2 t_1) (* y (- (* c i) (* a b))))
             (* j (- (* i y1) (* b y0)))))
           (if (<= c -3e-271)
             t_3
             (if (<= c 7.5e-259)
               t_4
               (if (<= c 5.8e-180)
                 (* i t_2)
                 (if (<= c 9.2e-111)
                   (* j (* y5 (- (* y0 y3) (* t i))))
                   (if (<= c 1.16e-95)
                     (* a (* b (- (* x y) (* z t))))
                     (if (<= c 1.55e-68)
                       (* i (* k (- (* y y5) (* z y1))))
                       (if (<= c 0.029)
                         t_3
                         (if (<= c 3.6e+94)
                           (* y (* y3 (- (* c y4) (* a y5))))
                           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 = (c * y0) - (a * y1);
	double t_2 = y1 * ((x * j) - (z * k));
	double t_3 = i * (t_2 + ((y5 * ((y * k) - (t * j))) + (c * ((z * t) - (x * y)))));
	double t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (c <= -1.02e+231) {
		tmp = (y3 * y4) * (y * c);
	} else if (c <= -8.5e+138) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (c <= -5.1e-8) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (c <= -2.15e-153) {
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	} else if (c <= -3e-271) {
		tmp = t_3;
	} else if (c <= 7.5e-259) {
		tmp = t_4;
	} else if (c <= 5.8e-180) {
		tmp = i * t_2;
	} else if (c <= 9.2e-111) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (c <= 1.16e-95) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (c <= 1.55e-68) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (c <= 0.029) {
		tmp = t_3;
	} else if (c <= 3.6e+94) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} 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 = (c * y0) - (a * y1)
    t_2 = y1 * ((x * j) - (z * k))
    t_3 = i * (t_2 + ((y5 * ((y * k) - (t * j))) + (c * ((z * t) - (x * y)))))
    t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * ((a * y5) - (c * y4))))
    if (c <= (-1.02d+231)) then
        tmp = (y3 * y4) * (y * c)
    else if (c <= (-8.5d+138)) then
        tmp = ((x * y0) - (t * y4)) * (c * y2)
    else if (c <= (-5.1d-8)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (c <= (-2.15d-153)) then
        tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))))
    else if (c <= (-3d-271)) then
        tmp = t_3
    else if (c <= 7.5d-259) then
        tmp = t_4
    else if (c <= 5.8d-180) then
        tmp = i * t_2
    else if (c <= 9.2d-111) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (c <= 1.16d-95) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (c <= 1.55d-68) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (c <= 0.029d0) then
        tmp = t_3
    else if (c <= 3.6d+94) then
        tmp = y * (y3 * ((c * y4) - (a * y5)))
    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 = (c * y0) - (a * y1);
	double t_2 = y1 * ((x * j) - (z * k));
	double t_3 = i * (t_2 + ((y5 * ((y * k) - (t * j))) + (c * ((z * t) - (x * y)))));
	double t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (c <= -1.02e+231) {
		tmp = (y3 * y4) * (y * c);
	} else if (c <= -8.5e+138) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (c <= -5.1e-8) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (c <= -2.15e-153) {
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	} else if (c <= -3e-271) {
		tmp = t_3;
	} else if (c <= 7.5e-259) {
		tmp = t_4;
	} else if (c <= 5.8e-180) {
		tmp = i * t_2;
	} else if (c <= 9.2e-111) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (c <= 1.16e-95) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (c <= 1.55e-68) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (c <= 0.029) {
		tmp = t_3;
	} else if (c <= 3.6e+94) {
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	} 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 = (c * y0) - (a * y1)
	t_2 = y1 * ((x * j) - (z * k))
	t_3 = i * (t_2 + ((y5 * ((y * k) - (t * j))) + (c * ((z * t) - (x * y)))))
	t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if c <= -1.02e+231:
		tmp = (y3 * y4) * (y * c)
	elif c <= -8.5e+138:
		tmp = ((x * y0) - (t * y4)) * (c * y2)
	elif c <= -5.1e-8:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif c <= -2.15e-153:
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))))
	elif c <= -3e-271:
		tmp = t_3
	elif c <= 7.5e-259:
		tmp = t_4
	elif c <= 5.8e-180:
		tmp = i * t_2
	elif c <= 9.2e-111:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif c <= 1.16e-95:
		tmp = a * (b * ((x * y) - (z * t)))
	elif c <= 1.55e-68:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif c <= 0.029:
		tmp = t_3
	elif c <= 3.6e+94:
		tmp = y * (y3 * ((c * y4) - (a * y5)))
	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(c * y0) - Float64(a * y1))
	t_2 = Float64(y1 * Float64(Float64(x * j) - Float64(z * k)))
	t_3 = Float64(i * Float64(t_2 + Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) + Float64(c * Float64(Float64(z * t) - Float64(x * y))))))
	t_4 = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_1)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (c <= -1.02e+231)
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	elseif (c <= -8.5e+138)
		tmp = Float64(Float64(Float64(x * y0) - Float64(t * y4)) * Float64(c * y2));
	elseif (c <= -5.1e-8)
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (c <= -2.15e-153)
		tmp = Float64(x * Float64(Float64(Float64(y2 * t_1) - Float64(y * Float64(Float64(c * i) - Float64(a * b)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (c <= -3e-271)
		tmp = t_3;
	elseif (c <= 7.5e-259)
		tmp = t_4;
	elseif (c <= 5.8e-180)
		tmp = Float64(i * t_2);
	elseif (c <= 9.2e-111)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (c <= 1.16e-95)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (c <= 1.55e-68)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (c <= 0.029)
		tmp = t_3;
	elseif (c <= 3.6e+94)
		tmp = Float64(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))));
	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 = (c * y0) - (a * y1);
	t_2 = y1 * ((x * j) - (z * k));
	t_3 = i * (t_2 + ((y5 * ((y * k) - (t * j))) + (c * ((z * t) - (x * y)))));
	t_4 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (c <= -1.02e+231)
		tmp = (y3 * y4) * (y * c);
	elseif (c <= -8.5e+138)
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	elseif (c <= -5.1e-8)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (c <= -2.15e-153)
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	elseif (c <= -3e-271)
		tmp = t_3;
	elseif (c <= 7.5e-259)
		tmp = t_4;
	elseif (c <= 5.8e-180)
		tmp = i * t_2;
	elseif (c <= 9.2e-111)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (c <= 1.16e-95)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (c <= 1.55e-68)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (c <= 0.029)
		tmp = t_3;
	elseif (c <= 3.6e+94)
		tmp = y * (y3 * ((c * y4) - (a * y5)));
	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[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(i * N[(t$95$2 + N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -1.02e+231], N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -8.5e+138], N[(N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision] * N[(c * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -5.1e-8], N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $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[c, -2.15e-153], N[(x * N[(N[(N[(y2 * t$95$1), $MachinePrecision] - N[(y * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -3e-271], t$95$3, If[LessEqual[c, 7.5e-259], t$95$4, If[LessEqual[c, 5.8e-180], N[(i * t$95$2), $MachinePrecision], If[LessEqual[c, 9.2e-111], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.16e-95], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.55e-68], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 0.029], t$95$3, If[LessEqual[c, 3.6e+94], N[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$4]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if c < -1.02e231

   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 y3 around -inf 63.6%

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

   4. Taylor expanded in y around inf 56.0%

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

   5. Taylor expanded in a around 0 56.2%

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

      1. mul-1-neg 56.2%

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

      2. associate-*r* 73.3%

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

      3. distribute-lft-neg-in 73.3%

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

      4. distribute-rgt-neg-in 73.3%

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

      5. *-commutative 73.3%

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

   7. Simplified 73.3%

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

   if -1.02e231 < c < -8.5000000000000006e138

   1. Initial program 21.5%

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

   3. Taylor expanded in y2 around inf 43.1%

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

   4. Taylor expanded in a around 0 48.1%

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

   5. Taylor expanded in c around inf 58.9%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 58.9%

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

      2. *-commutative 58.9%

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

      3. associate-*l* 59.0%

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

      4. *-commutative 59.0%

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

      5. *-commutative 59.0%

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

   7. Simplified 59.0%

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

   if -8.5000000000000006e138 < c < -5.10000000000000001e-8

   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 y4 around inf 60.9%

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

   if -5.10000000000000001e-8 < c < -2.15e-153

   1. Initial program 28.9%

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

   3. Taylor expanded in x around inf 60.4%

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

   if -2.15e-153 < c < -3.00000000000000002e-271 or 1.55e-68 < c < 0.0290000000000000015

   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 66.3%

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

   if -3.00000000000000002e-271 < c < 7.50000000000000052e-259 or 3.59999999999999992e94 < c

   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 y2 around inf 65.1%

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

   if 7.50000000000000052e-259 < c < 5.79999999999999961e-180

   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 i around -inf 66.7%

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

   4. Taylor expanded in y1 around inf 75.3%

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

      1. *-commutative 75.3%

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

   6. Simplified 75.3%

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

   if 5.79999999999999961e-180 < c < 9.2e-111

   1. Initial program 38.2%

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

   3. Taylor expanded in j around inf 54.0%

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

   4. Taylor expanded in y5 around inf 62.5%

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

      1. +-commutative 62.5%

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

      2. mul-1-neg 62.5%

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

      3. unsub-neg 62.5%

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

      4. *-commutative 62.5%

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

      5. *-commutative 62.5%

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

   6. Simplified 62.5%

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

   if 9.2e-111 < c < 1.15999999999999997e-95

   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 80.1%

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

   4. Taylor expanded in a around inf 80.8%

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

      1. *-commutative 80.8%

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

      2. *-commutative 80.8%

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

   6. Simplified 80.8%

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

   if 1.15999999999999997e-95 < c < 1.55e-68

   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 i around -inf 17.2%

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

   4. Taylor expanded in k around inf 83.4%

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

      1. distribute-lft-out-- 83.4%

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

      2. *-commutative 83.4%

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

   6. Simplified 83.4%

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

   if 0.0290000000000000015 < c < 3.59999999999999992e94

   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 y3 around -inf 43.5%

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

   4. Taylor expanded in y around inf 48.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 63.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -1.02 \cdot 10^{+231}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;c \leq -8.5 \cdot 10^{+138}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;c \leq -5.1 \cdot 10^{-8}:\\ \;\;\;\;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}\;c \leq -2.15 \cdot 10^{-153}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq -3 \cdot 10^{-271}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;c \leq 7.5 \cdot 10^{-259}:\\ \;\;\;\;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}\;c \leq 5.8 \cdot 10^{-180}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;c \leq 9.2 \cdot 10^{-111}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;c \leq 1.16 \cdot 10^{-95}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;c \leq 1.55 \cdot 10^{-68}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;c \leq 0.029:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;c \leq 3.6 \cdot 10^{+94}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\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 8: 39.0% accurate, 1.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot y5 - y1 \cdot y4\\ t_2 := k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ t_3 := z \cdot t - x \cdot y\\ t_4 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot t\_3\right)\right)\\ t_5 := y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot t\_1 + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ t_6 := c \cdot y0 - a \cdot y1\\ t_7 := y2 \cdot \left(\left(t\_2 + x \cdot t\_6\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;i \leq -2.3 \cdot 10^{+159}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;i \leq -1.65 \cdot 10^{+78}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot t\_6 - t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;i \leq -1.45 \cdot 10^{+30}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;i \leq -5.3 \cdot 10^{-111}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -6.8 \cdot 10^{-252}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;i \leq 3.1 \cdot 10^{-149}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;i \leq 2.6 \cdot 10^{-52}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 1.55 \cdot 10^{-12}:\\ \;\;\;\;t\_7\\ \mathbf{elif}\;i \leq 3 \cdot 10^{+43}:\\ \;\;\;\;t\_5\\ \mathbf{elif}\;i \leq 3.5 \cdot 10^{+91}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot t\_1 + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 8.5 \cdot 10^{+99}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq 1.48 \cdot 10^{+122}:\\ \;\;\;\;t\_4\\ \mathbf{elif}\;i \leq 4.4 \cdot 10^{+183}:\\ \;\;\;\;y2 \cdot \left(\left(t\_2 + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 1.12 \cdot 10^{+270}:\\ \;\;\;\;\left(c \cdot i\right) \cdot t\_3\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y0 y5) (* y1 y4)))
        (t_2 (* k (- (* y1 y4) (* y0 y5))))
        (t_3 (- (* z t) (* x y)))
        (t_4
         (*
          i
          (+
           (* y1 (- (* x j) (* z k)))
           (+ (* y5 (- (* y k) (* t j))) (* c t_3)))))
        (t_5
         (*
          y3
          (+
           (* y (- (* c y4) (* a y5)))
           (+ (* j t_1) (* z (- (* a y1) (* c y0)))))))
        (t_6 (- (* c y0) (* a y1)))
        (t_7 (* y2 (+ (+ t_2 (* x t_6)) (* t (- (* a y5) (* c y4)))))))
   (if (<= i -2.3e+159)
     t_4
     (if (<= i -1.65e+78)
       (*
        z
        (-
         (* k (- (* b y0) (* i y1)))
         (- (* y3 t_6) (* t (- (* c i) (* a b))))))
       (if (<= i -1.45e+30)
         t_4
         (if (<= i -5.3e-111)
           (*
            y0
            (+
             (+ (* y5 (- (* j y3) (* k y2))) (* c (- (* x y2) (* z y3))))
             (* b (- (* z k) (* x j)))))
           (if (<= i -6.8e-252)
             t_5
             (if (<= i 3.1e-149)
               t_7
               (if (<= i 2.6e-52)
                 (* i (* k (- (* y y5) (* z y1))))
                 (if (<= i 1.55e-12)
                   t_7
                   (if (<= i 3e+43)
                     t_5
                     (if (<= i 3.5e+91)
                       (*
                        j
                        (+
                         (+ (* y3 t_1) (* t (- (* b y4) (* i y5))))
                         (* x (- (* i y1) (* b y0)))))
                       (if (<= i 8.5e+99)
                         (* (- k) (* y0 (* y2 y5)))
                         (if (<= i 1.48e+122)
                           t_4
                           (if (<= i 4.4e+183)
                             (* y2 (- (+ t_2 (* c (* x y0))) (* c (* t y4))))
                             (if (<= i 1.12e+270)
                               (* (* c i) t_3)
                               (* (* y i) (- (* k y5) (* x c)))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = k * ((y1 * y4) - (y0 * y5));
	double t_3 = (z * t) - (x * y);
	double t_4 = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * t_3)));
	double t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_1) + (z * ((a * y1) - (c * y0)))));
	double t_6 = (c * y0) - (a * y1);
	double t_7 = y2 * ((t_2 + (x * t_6)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (i <= -2.3e+159) {
		tmp = t_4;
	} else if (i <= -1.65e+78) {
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_6) - (t * ((c * i) - (a * b)))));
	} else if (i <= -1.45e+30) {
		tmp = t_4;
	} else if (i <= -5.3e-111) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	} else if (i <= -6.8e-252) {
		tmp = t_5;
	} else if (i <= 3.1e-149) {
		tmp = t_7;
	} else if (i <= 2.6e-52) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (i <= 1.55e-12) {
		tmp = t_7;
	} else if (i <= 3e+43) {
		tmp = t_5;
	} else if (i <= 3.5e+91) {
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	} else if (i <= 8.5e+99) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (i <= 1.48e+122) {
		tmp = t_4;
	} else if (i <= 4.4e+183) {
		tmp = y2 * ((t_2 + (c * (x * y0))) - (c * (t * y4)));
	} else if (i <= 1.12e+270) {
		tmp = (c * i) * t_3;
	} else {
		tmp = (y * i) * ((k * y5) - (x * c));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: 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 = (y0 * y5) - (y1 * y4)
    t_2 = k * ((y1 * y4) - (y0 * y5))
    t_3 = (z * t) - (x * y)
    t_4 = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * t_3)))
    t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_1) + (z * ((a * y1) - (c * y0)))))
    t_6 = (c * y0) - (a * y1)
    t_7 = y2 * ((t_2 + (x * t_6)) + (t * ((a * y5) - (c * y4))))
    if (i <= (-2.3d+159)) then
        tmp = t_4
    else if (i <= (-1.65d+78)) then
        tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_6) - (t * ((c * i) - (a * b)))))
    else if (i <= (-1.45d+30)) then
        tmp = t_4
    else if (i <= (-5.3d-111)) then
        tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
    else if (i <= (-6.8d-252)) then
        tmp = t_5
    else if (i <= 3.1d-149) then
        tmp = t_7
    else if (i <= 2.6d-52) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (i <= 1.55d-12) then
        tmp = t_7
    else if (i <= 3d+43) then
        tmp = t_5
    else if (i <= 3.5d+91) then
        tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))))
    else if (i <= 8.5d+99) then
        tmp = -k * (y0 * (y2 * y5))
    else if (i <= 1.48d+122) then
        tmp = t_4
    else if (i <= 4.4d+183) then
        tmp = y2 * ((t_2 + (c * (x * y0))) - (c * (t * y4)))
    else if (i <= 1.12d+270) then
        tmp = (c * i) * t_3
    else
        tmp = (y * i) * ((k * y5) - (x * c))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y0 * y5) - (y1 * y4);
	double t_2 = k * ((y1 * y4) - (y0 * y5));
	double t_3 = (z * t) - (x * y);
	double t_4 = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * t_3)));
	double t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_1) + (z * ((a * y1) - (c * y0)))));
	double t_6 = (c * y0) - (a * y1);
	double t_7 = y2 * ((t_2 + (x * t_6)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (i <= -2.3e+159) {
		tmp = t_4;
	} else if (i <= -1.65e+78) {
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_6) - (t * ((c * i) - (a * b)))));
	} else if (i <= -1.45e+30) {
		tmp = t_4;
	} else if (i <= -5.3e-111) {
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	} else if (i <= -6.8e-252) {
		tmp = t_5;
	} else if (i <= 3.1e-149) {
		tmp = t_7;
	} else if (i <= 2.6e-52) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (i <= 1.55e-12) {
		tmp = t_7;
	} else if (i <= 3e+43) {
		tmp = t_5;
	} else if (i <= 3.5e+91) {
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	} else if (i <= 8.5e+99) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (i <= 1.48e+122) {
		tmp = t_4;
	} else if (i <= 4.4e+183) {
		tmp = y2 * ((t_2 + (c * (x * y0))) - (c * (t * y4)));
	} else if (i <= 1.12e+270) {
		tmp = (c * i) * t_3;
	} else {
		tmp = (y * i) * ((k * y5) - (x * c));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y0 * y5) - (y1 * y4)
	t_2 = k * ((y1 * y4) - (y0 * y5))
	t_3 = (z * t) - (x * y)
	t_4 = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * t_3)))
	t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_1) + (z * ((a * y1) - (c * y0)))))
	t_6 = (c * y0) - (a * y1)
	t_7 = y2 * ((t_2 + (x * t_6)) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if i <= -2.3e+159:
		tmp = t_4
	elif i <= -1.65e+78:
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_6) - (t * ((c * i) - (a * b)))))
	elif i <= -1.45e+30:
		tmp = t_4
	elif i <= -5.3e-111:
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))))
	elif i <= -6.8e-252:
		tmp = t_5
	elif i <= 3.1e-149:
		tmp = t_7
	elif i <= 2.6e-52:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif i <= 1.55e-12:
		tmp = t_7
	elif i <= 3e+43:
		tmp = t_5
	elif i <= 3.5e+91:
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))))
	elif i <= 8.5e+99:
		tmp = -k * (y0 * (y2 * y5))
	elif i <= 1.48e+122:
		tmp = t_4
	elif i <= 4.4e+183:
		tmp = y2 * ((t_2 + (c * (x * y0))) - (c * (t * y4)))
	elif i <= 1.12e+270:
		tmp = (c * i) * t_3
	else:
		tmp = (y * i) * ((k * y5) - (x * c))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y0 * y5) - Float64(y1 * y4))
	t_2 = Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5)))
	t_3 = Float64(Float64(z * t) - Float64(x * y))
	t_4 = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y5 * Float64(Float64(y * k) - Float64(t * j))) + Float64(c * t_3))))
	t_5 = Float64(y3 * Float64(Float64(y * Float64(Float64(c * y4) - Float64(a * y5))) + Float64(Float64(j * t_1) + Float64(z * Float64(Float64(a * y1) - Float64(c * y0))))))
	t_6 = Float64(Float64(c * y0) - Float64(a * y1))
	t_7 = Float64(y2 * Float64(Float64(t_2 + Float64(x * t_6)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (i <= -2.3e+159)
		tmp = t_4;
	elseif (i <= -1.65e+78)
		tmp = Float64(z * Float64(Float64(k * Float64(Float64(b * y0) - Float64(i * y1))) - Float64(Float64(y3 * t_6) - Float64(t * Float64(Float64(c * i) - Float64(a * b))))));
	elseif (i <= -1.45e+30)
		tmp = t_4;
	elseif (i <= -5.3e-111)
		tmp = Float64(y0 * Float64(Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(c * Float64(Float64(x * y2) - Float64(z * y3)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (i <= -6.8e-252)
		tmp = t_5;
	elseif (i <= 3.1e-149)
		tmp = t_7;
	elseif (i <= 2.6e-52)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (i <= 1.55e-12)
		tmp = t_7;
	elseif (i <= 3e+43)
		tmp = t_5;
	elseif (i <= 3.5e+91)
		tmp = Float64(j * Float64(Float64(Float64(y3 * t_1) + Float64(t * Float64(Float64(b * y4) - Float64(i * y5)))) + Float64(x * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (i <= 8.5e+99)
		tmp = Float64(Float64(-k) * Float64(y0 * Float64(y2 * y5)));
	elseif (i <= 1.48e+122)
		tmp = t_4;
	elseif (i <= 4.4e+183)
		tmp = Float64(y2 * Float64(Float64(t_2 + Float64(c * Float64(x * y0))) - Float64(c * Float64(t * y4))));
	elseif (i <= 1.12e+270)
		tmp = Float64(Float64(c * i) * t_3);
	else
		tmp = Float64(Float64(y * i) * Float64(Float64(k * y5) - Float64(x * c)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y0 * y5) - (y1 * y4);
	t_2 = k * ((y1 * y4) - (y0 * y5));
	t_3 = (z * t) - (x * y);
	t_4 = i * ((y1 * ((x * j) - (z * k))) + ((y5 * ((y * k) - (t * j))) + (c * t_3)));
	t_5 = y3 * ((y * ((c * y4) - (a * y5))) + ((j * t_1) + (z * ((a * y1) - (c * y0)))));
	t_6 = (c * y0) - (a * y1);
	t_7 = y2 * ((t_2 + (x * t_6)) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (i <= -2.3e+159)
		tmp = t_4;
	elseif (i <= -1.65e+78)
		tmp = z * ((k * ((b * y0) - (i * y1))) - ((y3 * t_6) - (t * ((c * i) - (a * b)))));
	elseif (i <= -1.45e+30)
		tmp = t_4;
	elseif (i <= -5.3e-111)
		tmp = y0 * (((y5 * ((j * y3) - (k * y2))) + (c * ((x * y2) - (z * y3)))) + (b * ((z * k) - (x * j))));
	elseif (i <= -6.8e-252)
		tmp = t_5;
	elseif (i <= 3.1e-149)
		tmp = t_7;
	elseif (i <= 2.6e-52)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (i <= 1.55e-12)
		tmp = t_7;
	elseif (i <= 3e+43)
		tmp = t_5;
	elseif (i <= 3.5e+91)
		tmp = j * (((y3 * t_1) + (t * ((b * y4) - (i * y5)))) + (x * ((i * y1) - (b * y0))));
	elseif (i <= 8.5e+99)
		tmp = -k * (y0 * (y2 * y5));
	elseif (i <= 1.48e+122)
		tmp = t_4;
	elseif (i <= 4.4e+183)
		tmp = y2 * ((t_2 + (c * (x * y0))) - (c * (t * y4)));
	elseif (i <= 1.12e+270)
		tmp = (c * i) * t_3;
	else
		tmp = (y * i) * ((k * y5) - (x * c));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y0 * y5), $MachinePrecision] - N[(y1 * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $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[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y3 * N[(N[(y * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(j * t$95$1), $MachinePrecision] + N[(z * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(y2 * N[(N[(t$95$2 + N[(x * t$95$6), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -2.3e+159], t$95$4, If[LessEqual[i, -1.65e+78], N[(z * N[(N[(k * N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y3 * t$95$6), $MachinePrecision] - N[(t * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.45e+30], t$95$4, If[LessEqual[i, -5.3e-111], N[(y0 * N[(N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -6.8e-252], t$95$5, If[LessEqual[i, 3.1e-149], t$95$7, If[LessEqual[i, 2.6e-52], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.55e-12], t$95$7, If[LessEqual[i, 3e+43], t$95$5, If[LessEqual[i, 3.5e+91], N[(j * N[(N[(N[(y3 * t$95$1), $MachinePrecision] + N[(t * N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 8.5e+99], N[((-k) * N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.48e+122], t$95$4, If[LessEqual[i, 4.4e+183], N[(y2 * N[(N[(t$95$2 + N[(c * N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.12e+270], N[(N[(c * i), $MachinePrecision] * t$95$3), $MachinePrecision], N[(N[(y * i), $MachinePrecision] * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if i < -2.29999999999999995e159 or -1.65e78 < i < -1.4499999999999999e30 or 8.49999999999999984e99 < i < 1.48000000000000005e122

   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 i around -inf 68.9%

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

   if -2.29999999999999995e159 < i < -1.65e78

   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 z around -inf 61.8%

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

   if -1.4499999999999999e30 < i < -5.2999999999999997e-111

   1. Initial program 38.1%

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

   3. Taylor expanded in y0 around inf 62.6%

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

   if -5.2999999999999997e-111 < i < -6.7999999999999999e-252 or 1.5500000000000001e-12 < i < 3.00000000000000017e43

   1. Initial program 33.4%

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

   3. Taylor expanded in y3 around -inf 69.2%

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

   if -6.7999999999999999e-252 < i < 3.09999999999999987e-149 or 2.5999999999999999e-52 < i < 1.5500000000000001e-12

   1. Initial program 34.9%

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

   3. Taylor expanded in y2 around inf 76.2%

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

   if 3.09999999999999987e-149 < i < 2.5999999999999999e-52

   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 i around -inf 37.8%

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

   4. Taylor expanded in k around inf 56.9%

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

      1. distribute-lft-out-- 56.9%

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

      2. *-commutative 56.9%

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

   6. Simplified 56.9%

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

   if 3.00000000000000017e43 < i < 3.50000000000000001e91

   1. Initial program 7.6%

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

   3. Taylor expanded in j around inf 64.6%

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

   if 3.50000000000000001e91 < i < 8.49999999999999984e99

   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 66.7%

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

   4. Taylor expanded in a around 0 66.7%

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

   5. Taylor expanded in y5 around inf 100.0%

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

      1. associate-*r* 100.0%

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

      2. neg-mul-1 100.0%

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

   7. Simplified 100.0%

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

   if 1.48000000000000005e122 < i < 4.39999999999999981e183

   1. Initial program 9.9%

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

   3. Taylor expanded in y2 around inf 60.6%

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

   4. Taylor expanded in a around 0 66.0%

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

   if 4.39999999999999981e183 < i < 1.11999999999999991e270

   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 i around -inf 63.7%

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

   4. Taylor expanded in c around inf 69.5%

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

      1. associate-*r* 81.3%

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

      2. *-commutative 81.3%

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

      3. *-commutative 81.3%

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

   6. Simplified 81.3%

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

   if 1.11999999999999991e270 < i

   1. Initial program 28.6%

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

   3. Taylor expanded in i around -inf 71.2%

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

   4. Taylor expanded in y around -inf 71.3%

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

      1. mul-1-neg 71.3%

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

      2. associate-*r* 71.5%

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

      3. distribute-lft-neg-in 71.5%

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

      4. +-commutative 71.5%

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

      5. mul-1-neg 71.5%

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

      6. unsub-neg 71.5%

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

      7. *-commutative 71.5%

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

   6. Simplified 71.5%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-i \cdot y\right) \cdot \left(y5 \cdot k - c \cdot x\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 69.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -2.3 \cdot 10^{+159}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;i \leq -1.65 \cdot 10^{+78}:\\ \;\;\;\;z \cdot \left(k \cdot \left(b \cdot y0 - i \cdot y1\right) - \left(y3 \cdot \left(c \cdot y0 - a \cdot y1\right) - t \cdot \left(c \cdot i - a \cdot b\right)\right)\right)\\ \mathbf{elif}\;i \leq -1.45 \cdot 10^{+30}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;i \leq -5.3 \cdot 10^{-111}:\\ \;\;\;\;y0 \cdot \left(\left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + c \cdot \left(x \cdot y2 - z \cdot y3\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;i \leq -6.8 \cdot 10^{-252}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;i \leq 3.1 \cdot 10^{-149}:\\ \;\;\;\;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}\;i \leq 2.6 \cdot 10^{-52}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 1.55 \cdot 10^{-12}:\\ \;\;\;\;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}\;i \leq 3 \cdot 10^{+43}:\\ \;\;\;\;y3 \cdot \left(y \cdot \left(c \cdot y4 - a \cdot y5\right) + \left(j \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + z \cdot \left(a \cdot y1 - c \cdot y0\right)\right)\right)\\ \mathbf{elif}\;i \leq 3.5 \cdot 10^{+91}:\\ \;\;\;\;j \cdot \left(\left(y3 \cdot \left(y0 \cdot y5 - y1 \cdot y4\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) + x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 8.5 \cdot 10^{+99}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq 1.48 \cdot 10^{+122}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(y5 \cdot \left(y \cdot k - t \cdot j\right) + c \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;i \leq 4.4 \cdot 10^{+183}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 1.12 \cdot 10^{+270}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y \cdot i\right) \cdot \left(k \cdot y5 - x \cdot c\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 9: 29.7% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ t_2 := c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ t_3 := x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{if}\;i \leq -6.7 \cdot 10^{+34}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-104}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq -5.2 \cdot 10^{-157}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq -1.7 \cdot 10^{-219}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;i \leq -3.9 \cdot 10^{-265}:\\ \;\;\;\;\left(y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\\ \mathbf{elif}\;i \leq 3.1 \cdot 10^{-149}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq 1.4 \cdot 10^{-51}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq 8200:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq 3 \cdot 10^{+87}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{elif}\;i \leq 1.25 \cdot 10^{+101}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;i \leq 2.3 \cdot 10^{+135}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;i \leq 7.8 \cdot 10^{+155}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;i \leq 6.8 \cdot 10^{+188}:\\ \;\;\;\;\left(k \cdot y1 - t \cdot c\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* k (- (* y y5) (* z y1)))))
        (t_2 (* c (* y2 (- (* x y0) (* t y4)))))
        (t_3 (* x (* y2 (- (* c y0) (* a y1))))))
   (if (<= i -6.7e+34)
     (* (* z i) (- (* t c) (* k y1)))
     (if (<= i -7.5e-104)
       t_1
       (if (<= i -5.2e-157)
         (* a (* b (- (* x y) (* z t))))
         (if (<= i -1.7e-219)
           t_2
           (if (<= i -3.9e-265)
             (* (* y y3) (- (* c y4) (* a y5)))
             (if (<= i 3.1e-149)
               t_3
               (if (<= i 1.4e-51)
                 t_1
                 (if (<= i 8200.0)
                   t_3
                   (if (<= i 3e+87)
                     (* (* z y3) (- (* a y1) (* c y0)))
                     (if (<= i 1.25e+101)
                       (* j (* y5 (- (* y0 y3) (* t i))))
                       (if (<= i 2.3e+135)
                         (* i (* x (- (* j y1) (* y c))))
                         (if (<= i 7.8e+155)
                           t_2
                           (if (<= i 6.8e+188)
                             (* (- (* k y1) (* t c)) (* y2 y4))
                             (* (* c i) (- (* z t) (* x 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 = i * (k * ((y * y5) - (z * y1)));
	double t_2 = c * (y2 * ((x * y0) - (t * y4)));
	double t_3 = x * (y2 * ((c * y0) - (a * y1)));
	double tmp;
	if (i <= -6.7e+34) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (i <= -7.5e-104) {
		tmp = t_1;
	} else if (i <= -5.2e-157) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (i <= -1.7e-219) {
		tmp = t_2;
	} else if (i <= -3.9e-265) {
		tmp = (y * y3) * ((c * y4) - (a * y5));
	} else if (i <= 3.1e-149) {
		tmp = t_3;
	} else if (i <= 1.4e-51) {
		tmp = t_1;
	} else if (i <= 8200.0) {
		tmp = t_3;
	} else if (i <= 3e+87) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else if (i <= 1.25e+101) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (i <= 2.3e+135) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (i <= 7.8e+155) {
		tmp = t_2;
	} else if (i <= 6.8e+188) {
		tmp = ((k * y1) - (t * c)) * (y2 * y4);
	} else {
		tmp = (c * i) * ((z * t) - (x * 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) :: t_3
    real(8) :: tmp
    t_1 = i * (k * ((y * y5) - (z * y1)))
    t_2 = c * (y2 * ((x * y0) - (t * y4)))
    t_3 = x * (y2 * ((c * y0) - (a * y1)))
    if (i <= (-6.7d+34)) then
        tmp = (z * i) * ((t * c) - (k * y1))
    else if (i <= (-7.5d-104)) then
        tmp = t_1
    else if (i <= (-5.2d-157)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (i <= (-1.7d-219)) then
        tmp = t_2
    else if (i <= (-3.9d-265)) then
        tmp = (y * y3) * ((c * y4) - (a * y5))
    else if (i <= 3.1d-149) then
        tmp = t_3
    else if (i <= 1.4d-51) then
        tmp = t_1
    else if (i <= 8200.0d0) then
        tmp = t_3
    else if (i <= 3d+87) then
        tmp = (z * y3) * ((a * y1) - (c * y0))
    else if (i <= 1.25d+101) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (i <= 2.3d+135) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (i <= 7.8d+155) then
        tmp = t_2
    else if (i <= 6.8d+188) then
        tmp = ((k * y1) - (t * c)) * (y2 * y4)
    else
        tmp = (c * i) * ((z * t) - (x * 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 = i * (k * ((y * y5) - (z * y1)));
	double t_2 = c * (y2 * ((x * y0) - (t * y4)));
	double t_3 = x * (y2 * ((c * y0) - (a * y1)));
	double tmp;
	if (i <= -6.7e+34) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (i <= -7.5e-104) {
		tmp = t_1;
	} else if (i <= -5.2e-157) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (i <= -1.7e-219) {
		tmp = t_2;
	} else if (i <= -3.9e-265) {
		tmp = (y * y3) * ((c * y4) - (a * y5));
	} else if (i <= 3.1e-149) {
		tmp = t_3;
	} else if (i <= 1.4e-51) {
		tmp = t_1;
	} else if (i <= 8200.0) {
		tmp = t_3;
	} else if (i <= 3e+87) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else if (i <= 1.25e+101) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (i <= 2.3e+135) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (i <= 7.8e+155) {
		tmp = t_2;
	} else if (i <= 6.8e+188) {
		tmp = ((k * y1) - (t * c)) * (y2 * y4);
	} else {
		tmp = (c * i) * ((z * t) - (x * y));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (k * ((y * y5) - (z * y1)))
	t_2 = c * (y2 * ((x * y0) - (t * y4)))
	t_3 = x * (y2 * ((c * y0) - (a * y1)))
	tmp = 0
	if i <= -6.7e+34:
		tmp = (z * i) * ((t * c) - (k * y1))
	elif i <= -7.5e-104:
		tmp = t_1
	elif i <= -5.2e-157:
		tmp = a * (b * ((x * y) - (z * t)))
	elif i <= -1.7e-219:
		tmp = t_2
	elif i <= -3.9e-265:
		tmp = (y * y3) * ((c * y4) - (a * y5))
	elif i <= 3.1e-149:
		tmp = t_3
	elif i <= 1.4e-51:
		tmp = t_1
	elif i <= 8200.0:
		tmp = t_3
	elif i <= 3e+87:
		tmp = (z * y3) * ((a * y1) - (c * y0))
	elif i <= 1.25e+101:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif i <= 2.3e+135:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif i <= 7.8e+155:
		tmp = t_2
	elif i <= 6.8e+188:
		tmp = ((k * y1) - (t * c)) * (y2 * y4)
	else:
		tmp = (c * i) * ((z * t) - (x * 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(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))))
	t_2 = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))))
	t_3 = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))))
	tmp = 0.0
	if (i <= -6.7e+34)
		tmp = Float64(Float64(z * i) * Float64(Float64(t * c) - Float64(k * y1)));
	elseif (i <= -7.5e-104)
		tmp = t_1;
	elseif (i <= -5.2e-157)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (i <= -1.7e-219)
		tmp = t_2;
	elseif (i <= -3.9e-265)
		tmp = Float64(Float64(y * y3) * Float64(Float64(c * y4) - Float64(a * y5)));
	elseif (i <= 3.1e-149)
		tmp = t_3;
	elseif (i <= 1.4e-51)
		tmp = t_1;
	elseif (i <= 8200.0)
		tmp = t_3;
	elseif (i <= 3e+87)
		tmp = Float64(Float64(z * y3) * Float64(Float64(a * y1) - Float64(c * y0)));
	elseif (i <= 1.25e+101)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (i <= 2.3e+135)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (i <= 7.8e+155)
		tmp = t_2;
	elseif (i <= 6.8e+188)
		tmp = Float64(Float64(Float64(k * y1) - Float64(t * c)) * Float64(y2 * y4));
	else
		tmp = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * 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 = i * (k * ((y * y5) - (z * y1)));
	t_2 = c * (y2 * ((x * y0) - (t * y4)));
	t_3 = x * (y2 * ((c * y0) - (a * y1)));
	tmp = 0.0;
	if (i <= -6.7e+34)
		tmp = (z * i) * ((t * c) - (k * y1));
	elseif (i <= -7.5e-104)
		tmp = t_1;
	elseif (i <= -5.2e-157)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (i <= -1.7e-219)
		tmp = t_2;
	elseif (i <= -3.9e-265)
		tmp = (y * y3) * ((c * y4) - (a * y5));
	elseif (i <= 3.1e-149)
		tmp = t_3;
	elseif (i <= 1.4e-51)
		tmp = t_1;
	elseif (i <= 8200.0)
		tmp = t_3;
	elseif (i <= 3e+87)
		tmp = (z * y3) * ((a * y1) - (c * y0));
	elseif (i <= 1.25e+101)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (i <= 2.3e+135)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (i <= 7.8e+155)
		tmp = t_2;
	elseif (i <= 6.8e+188)
		tmp = ((k * y1) - (t * c)) * (y2 * y4);
	else
		tmp = (c * i) * ((z * t) - (x * 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[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -6.7e+34], N[(N[(z * i), $MachinePrecision] * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -7.5e-104], t$95$1, If[LessEqual[i, -5.2e-157], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.7e-219], t$95$2, If[LessEqual[i, -3.9e-265], N[(N[(y * y3), $MachinePrecision] * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 3.1e-149], t$95$3, If[LessEqual[i, 1.4e-51], t$95$1, If[LessEqual[i, 8200.0], t$95$3, If[LessEqual[i, 3e+87], N[(N[(z * y3), $MachinePrecision] * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.25e+101], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 2.3e+135], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 7.8e+155], t$95$2, If[LessEqual[i, 6.8e+188], N[(N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision] * N[(y2 * y4), $MachinePrecision]), $MachinePrecision], N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if i < -6.7000000000000003e34

   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 54.8%

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

   4. Taylor expanded in y5 around 0 50.0%

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

   5. Taylor expanded in z around inf 49.5%

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

      1. associate-*r* 52.6%

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

      2. sub-neg 52.6%

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

      3. mul-1-neg 52.6%

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

      4. distribute-lft-neg-out 52.6%

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

      5. mul-1-neg 52.6%

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

      6. remove-double-neg 52.6%

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

      7. +-commutative 52.6%

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

      8. cancel-sign-sub-inv 52.6%

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

   7. Simplified 52.6%

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

   if -6.7000000000000003e34 < i < -7.5e-104 or 3.09999999999999987e-149 < i < 1.4e-51

   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 i around -inf 40.2%

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

   4. Taylor expanded in k around inf 48.5%

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

      1. distribute-lft-out-- 48.5%

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

      2. *-commutative 48.5%

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

   6. Simplified 48.5%

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

   if -7.5e-104 < i < -5.19999999999999977e-157

   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 b around inf 46.1%

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

   4. Taylor expanded in a around inf 54.9%

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

      1. *-commutative 54.9%

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

      2. *-commutative 54.9%

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

   6. Simplified 54.9%

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

   if -5.19999999999999977e-157 < i < -1.6999999999999999e-219 or 2.3000000000000001e135 < i < 7.7999999999999996e155

   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 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 c around inf 62.7%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 62.7%

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

      2. *-commutative 62.7%

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

   6. Simplified 62.7%

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

   if -1.6999999999999999e-219 < i < -3.8999999999999999e-265

   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 66.9%

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

   4. Taylor expanded in y around inf 66.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 66.8%

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

   6. Simplified 66.8%

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

   if -3.8999999999999999e-265 < i < 3.09999999999999987e-149 or 1.4e-51 < i < 8200

   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 y2 around inf 74.1%

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

   4. Taylor expanded in x around inf 63.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 63.5%

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

   6. Simplified 63.5%

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

   if 8200 < i < 2.9999999999999999e87

   1. Initial program 10.9%

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

   3. Taylor expanded in y3 around -inf 43.0%

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

   4. Taylor expanded in z around inf 49.0%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 48.6%

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

   6. Simplified 48.6%

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

   if 2.9999999999999999e87 < i < 1.24999999999999997e101

   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 j around inf 63.3%

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

   4. Taylor expanded in y5 around inf 63.1%

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

      1. +-commutative 63.1%

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

      2. mul-1-neg 63.1%

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

      3. unsub-neg 63.1%

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

      4. *-commutative 63.1%

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

      5. *-commutative 63.1%

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

   6. Simplified 63.1%

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

   if 1.24999999999999997e101 < i < 2.3000000000000001e135

   1. Initial program 9.8%

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

   3. Taylor expanded in i around -inf 70.4%

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

   4. Taylor expanded in x around inf 70.8%

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

      1. *-commutative 70.8%

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

   6. Simplified 70.8%

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

   if 7.7999999999999996e155 < i < 6.79999999999999991e188

   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 y2 around inf 51.1%

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

   4. Taylor expanded in y4 around inf 70.4%

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

      1. associate-*r* 61.0%

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

      2. *-commutative 61.0%

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

   6. Simplified 61.0%

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

   if 6.79999999999999991e188 < i

   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 i around -inf 64.4%

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

   4. Taylor expanded in c around inf 59.8%

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

      1. associate-*r* 64.1%

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

      2. *-commutative 64.1%

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

      3. *-commutative 64.1%

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

   6. Simplified 64.1%

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

4. Final simplification 57.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -6.7 \cdot 10^{+34}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;i \leq -7.5 \cdot 10^{-104}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq -5.2 \cdot 10^{-157}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq -1.7 \cdot 10^{-219}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -3.9 \cdot 10^{-265}:\\ \;\;\;\;\left(y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\\ \mathbf{elif}\;i \leq 3.1 \cdot 10^{-149}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 1.4 \cdot 10^{-51}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 8200:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 3 \cdot 10^{+87}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{elif}\;i \leq 1.25 \cdot 10^{+101}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;i \leq 2.3 \cdot 10^{+135}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;i \leq 7.8 \cdot 10^{+155}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 6.8 \cdot 10^{+188}:\\ \;\;\;\;\left(k \cdot y1 - t \cdot c\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 10: 30.1% accurate, 1.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ t_2 := x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{if}\;i \leq -1.35 \cdot 10^{+134}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;i \leq -9.6 \cdot 10^{-105}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{elif}\;i \leq -9.2 \cdot 10^{-157}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq -4.3 \cdot 10^{-219}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq -7.2 \cdot 10^{-268}:\\ \;\;\;\;\left(y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\\ \mathbf{elif}\;i \leq 2.2 \cdot 10^{-149}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;i \leq 1.15 \cdot 10^{-46}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 2.7 \cdot 10^{-6}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;i \leq 2.8 \cdot 10^{+87}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{elif}\;i \leq 1.2 \cdot 10^{+101}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;i \leq 5.8 \cdot 10^{+135}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;i \leq 4.2 \cdot 10^{+155}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq 6.4 \cdot 10^{+188}:\\ \;\;\;\;\left(k \cdot y1 - t \cdot c\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y2 (- (* x y0) (* t y4)))))
        (t_2 (* x (* y2 (- (* c y0) (* a y1))))))
   (if (<= i -1.35e+134)
     (* (* z i) (- (* t c) (* k y1)))
     (if (<= i -9.6e-105)
       (- (* i (* y5 (- (* y k) (* t j)))) (* (* z y1) (* i k)))
       (if (<= i -9.2e-157)
         (* a (* b (- (* x y) (* z t))))
         (if (<= i -4.3e-219)
           t_1
           (if (<= i -7.2e-268)
             (* (* y y3) (- (* c y4) (* a y5)))
             (if (<= i 2.2e-149)
               t_2
               (if (<= i 1.15e-46)
                 (* i (* k (- (* y y5) (* z y1))))
                 (if (<= i 2.7e-6)
                   t_2
                   (if (<= i 2.8e+87)
                     (* (* z y3) (- (* a y1) (* c y0)))
                     (if (<= i 1.2e+101)
                       (* j (* y5 (- (* y0 y3) (* t i))))
                       (if (<= i 5.8e+135)
                         (* i (* x (- (* j y1) (* y c))))
                         (if (<= i 4.2e+155)
                           t_1
                           (if (<= i 6.4e+188)
                             (* (- (* k y1) (* t c)) (* y2 y4))
                             (* (* c i) (- (* z t) (* x 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 = c * (y2 * ((x * y0) - (t * y4)));
	double t_2 = x * (y2 * ((c * y0) - (a * y1)));
	double tmp;
	if (i <= -1.35e+134) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (i <= -9.6e-105) {
		tmp = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k));
	} else if (i <= -9.2e-157) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (i <= -4.3e-219) {
		tmp = t_1;
	} else if (i <= -7.2e-268) {
		tmp = (y * y3) * ((c * y4) - (a * y5));
	} else if (i <= 2.2e-149) {
		tmp = t_2;
	} else if (i <= 1.15e-46) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (i <= 2.7e-6) {
		tmp = t_2;
	} else if (i <= 2.8e+87) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else if (i <= 1.2e+101) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (i <= 5.8e+135) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (i <= 4.2e+155) {
		tmp = t_1;
	} else if (i <= 6.4e+188) {
		tmp = ((k * y1) - (t * c)) * (y2 * y4);
	} else {
		tmp = (c * i) * ((z * t) - (x * 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 = c * (y2 * ((x * y0) - (t * y4)))
    t_2 = x * (y2 * ((c * y0) - (a * y1)))
    if (i <= (-1.35d+134)) then
        tmp = (z * i) * ((t * c) - (k * y1))
    else if (i <= (-9.6d-105)) then
        tmp = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k))
    else if (i <= (-9.2d-157)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (i <= (-4.3d-219)) then
        tmp = t_1
    else if (i <= (-7.2d-268)) then
        tmp = (y * y3) * ((c * y4) - (a * y5))
    else if (i <= 2.2d-149) then
        tmp = t_2
    else if (i <= 1.15d-46) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else if (i <= 2.7d-6) then
        tmp = t_2
    else if (i <= 2.8d+87) then
        tmp = (z * y3) * ((a * y1) - (c * y0))
    else if (i <= 1.2d+101) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (i <= 5.8d+135) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (i <= 4.2d+155) then
        tmp = t_1
    else if (i <= 6.4d+188) then
        tmp = ((k * y1) - (t * c)) * (y2 * y4)
    else
        tmp = (c * i) * ((z * t) - (x * 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 = c * (y2 * ((x * y0) - (t * y4)));
	double t_2 = x * (y2 * ((c * y0) - (a * y1)));
	double tmp;
	if (i <= -1.35e+134) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (i <= -9.6e-105) {
		tmp = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k));
	} else if (i <= -9.2e-157) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (i <= -4.3e-219) {
		tmp = t_1;
	} else if (i <= -7.2e-268) {
		tmp = (y * y3) * ((c * y4) - (a * y5));
	} else if (i <= 2.2e-149) {
		tmp = t_2;
	} else if (i <= 1.15e-46) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else if (i <= 2.7e-6) {
		tmp = t_2;
	} else if (i <= 2.8e+87) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else if (i <= 1.2e+101) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (i <= 5.8e+135) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (i <= 4.2e+155) {
		tmp = t_1;
	} else if (i <= 6.4e+188) {
		tmp = ((k * y1) - (t * c)) * (y2 * y4);
	} else {
		tmp = (c * i) * ((z * t) - (x * y));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y2 * ((x * y0) - (t * y4)))
	t_2 = x * (y2 * ((c * y0) - (a * y1)))
	tmp = 0
	if i <= -1.35e+134:
		tmp = (z * i) * ((t * c) - (k * y1))
	elif i <= -9.6e-105:
		tmp = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k))
	elif i <= -9.2e-157:
		tmp = a * (b * ((x * y) - (z * t)))
	elif i <= -4.3e-219:
		tmp = t_1
	elif i <= -7.2e-268:
		tmp = (y * y3) * ((c * y4) - (a * y5))
	elif i <= 2.2e-149:
		tmp = t_2
	elif i <= 1.15e-46:
		tmp = i * (k * ((y * y5) - (z * y1)))
	elif i <= 2.7e-6:
		tmp = t_2
	elif i <= 2.8e+87:
		tmp = (z * y3) * ((a * y1) - (c * y0))
	elif i <= 1.2e+101:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif i <= 5.8e+135:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif i <= 4.2e+155:
		tmp = t_1
	elif i <= 6.4e+188:
		tmp = ((k * y1) - (t * c)) * (y2 * y4)
	else:
		tmp = (c * i) * ((z * t) - (x * 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(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))))
	t_2 = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))))
	tmp = 0.0
	if (i <= -1.35e+134)
		tmp = Float64(Float64(z * i) * Float64(Float64(t * c) - Float64(k * y1)));
	elseif (i <= -9.6e-105)
		tmp = Float64(Float64(i * Float64(y5 * Float64(Float64(y * k) - Float64(t * j)))) - Float64(Float64(z * y1) * Float64(i * k)));
	elseif (i <= -9.2e-157)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (i <= -4.3e-219)
		tmp = t_1;
	elseif (i <= -7.2e-268)
		tmp = Float64(Float64(y * y3) * Float64(Float64(c * y4) - Float64(a * y5)));
	elseif (i <= 2.2e-149)
		tmp = t_2;
	elseif (i <= 1.15e-46)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	elseif (i <= 2.7e-6)
		tmp = t_2;
	elseif (i <= 2.8e+87)
		tmp = Float64(Float64(z * y3) * Float64(Float64(a * y1) - Float64(c * y0)));
	elseif (i <= 1.2e+101)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (i <= 5.8e+135)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (i <= 4.2e+155)
		tmp = t_1;
	elseif (i <= 6.4e+188)
		tmp = Float64(Float64(Float64(k * y1) - Float64(t * c)) * Float64(y2 * y4));
	else
		tmp = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * 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 = c * (y2 * ((x * y0) - (t * y4)));
	t_2 = x * (y2 * ((c * y0) - (a * y1)));
	tmp = 0.0;
	if (i <= -1.35e+134)
		tmp = (z * i) * ((t * c) - (k * y1));
	elseif (i <= -9.6e-105)
		tmp = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k));
	elseif (i <= -9.2e-157)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (i <= -4.3e-219)
		tmp = t_1;
	elseif (i <= -7.2e-268)
		tmp = (y * y3) * ((c * y4) - (a * y5));
	elseif (i <= 2.2e-149)
		tmp = t_2;
	elseif (i <= 1.15e-46)
		tmp = i * (k * ((y * y5) - (z * y1)));
	elseif (i <= 2.7e-6)
		tmp = t_2;
	elseif (i <= 2.8e+87)
		tmp = (z * y3) * ((a * y1) - (c * y0));
	elseif (i <= 1.2e+101)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (i <= 5.8e+135)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (i <= 4.2e+155)
		tmp = t_1;
	elseif (i <= 6.4e+188)
		tmp = ((k * y1) - (t * c)) * (y2 * y4);
	else
		tmp = (c * i) * ((z * t) - (x * 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[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -1.35e+134], N[(N[(z * i), $MachinePrecision] * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -9.6e-105], N[(N[(i * N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(z * y1), $MachinePrecision] * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -9.2e-157], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -4.3e-219], t$95$1, If[LessEqual[i, -7.2e-268], N[(N[(y * y3), $MachinePrecision] * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 2.2e-149], t$95$2, If[LessEqual[i, 1.15e-46], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 2.7e-6], t$95$2, If[LessEqual[i, 2.8e+87], N[(N[(z * y3), $MachinePrecision] * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.2e+101], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 5.8e+135], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 4.2e+155], t$95$1, If[LessEqual[i, 6.4e+188], N[(N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision] * N[(y2 * y4), $MachinePrecision]), $MachinePrecision], N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if i < -1.35e134

   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 i around -inf 61.9%

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

   4. Taylor expanded in y5 around 0 54.8%

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

   5. Taylor expanded in z around inf 53.5%

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

      1. associate-*r* 55.8%

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

      2. sub-neg 55.8%

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

      3. mul-1-neg 55.8%

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

      4. distribute-lft-neg-out 55.8%

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

      5. mul-1-neg 55.8%

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

      6. remove-double-neg 55.8%

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

      7. +-commutative 55.8%

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

      8. cancel-sign-sub-inv 55.8%

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

   7. Simplified 55.8%

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

   if -1.35e134 < i < -9.6000000000000006e-105

   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 i around -inf 41.0%

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

   4. Taylor expanded in y5 around 0 41.0%

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

   5. Taylor expanded in k around inf 48.6%

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

      1. associate-*r* 46.3%

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

      2. *-commutative 46.3%

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

      3. *-commutative 46.3%

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

   7. Simplified 46.3%

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

   if -9.6000000000000006e-105 < i < -9.19999999999999954e-157

   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 b around inf 46.1%

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

   4. Taylor expanded in a around inf 54.9%

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

      1. *-commutative 54.9%

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

      2. *-commutative 54.9%

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

   6. Simplified 54.9%

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

   if -9.19999999999999954e-157 < i < -4.3000000000000003e-219 or 5.7999999999999997e135 < i < 4.2e155

   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 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 c around inf 62.7%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 62.7%

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

      2. *-commutative 62.7%

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

   6. Simplified 62.7%

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

   if -4.3000000000000003e-219 < i < -7.2000000000000002e-268

   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 66.9%

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

   4. Taylor expanded in y around inf 66.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 66.8%

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

   6. Simplified 66.8%

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

   if -7.2000000000000002e-268 < i < 2.1999999999999998e-149 or 1.15e-46 < i < 2.69999999999999998e-6

   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 y2 around inf 74.1%

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

   4. Taylor expanded in x around inf 63.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 63.5%

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

   6. Simplified 63.5%

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

   if 2.1999999999999998e-149 < i < 1.15e-46

   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 i around -inf 37.8%

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

   4. Taylor expanded in k around inf 56.9%

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

      1. distribute-lft-out-- 56.9%

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

      2. *-commutative 56.9%

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

   6. Simplified 56.9%

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

   if 2.69999999999999998e-6 < i < 2.80000000000000015e87

   1. Initial program 10.9%

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

   3. Taylor expanded in y3 around -inf 43.0%

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

   4. Taylor expanded in z around inf 49.0%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 48.6%

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

   6. Simplified 48.6%

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

   if 2.80000000000000015e87 < i < 1.19999999999999994e101

   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 j around inf 63.3%

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

   4. Taylor expanded in y5 around inf 63.1%

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

      1. +-commutative 63.1%

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

      2. mul-1-neg 63.1%

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

      3. unsub-neg 63.1%

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

      4. *-commutative 63.1%

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

      5. *-commutative 63.1%

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

   6. Simplified 63.1%

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

   if 1.19999999999999994e101 < i < 5.7999999999999997e135

   1. Initial program 9.8%

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

   3. Taylor expanded in i around -inf 70.4%

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

   4. Taylor expanded in x around inf 70.8%

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

      1. *-commutative 70.8%

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

   6. Simplified 70.8%

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

   if 4.2e155 < i < 6.39999999999999941e188

   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 y2 around inf 51.1%

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

   4. Taylor expanded in y4 around inf 70.4%

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

      1. associate-*r* 61.0%

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

      2. *-commutative 61.0%

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

   6. Simplified 61.0%

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

   if 6.39999999999999941e188 < i

   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 i around -inf 64.4%

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

   4. Taylor expanded in c around inf 59.8%

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

      1. associate-*r* 64.1%

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

      2. *-commutative 64.1%

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

      3. *-commutative 64.1%

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

   6. Simplified 64.1%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(c \cdot i\right) \cdot \left(y \cdot x - z \cdot t\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 57.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -1.35 \cdot 10^{+134}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;i \leq -9.6 \cdot 10^{-105}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{elif}\;i \leq -9.2 \cdot 10^{-157}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq -4.3 \cdot 10^{-219}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -7.2 \cdot 10^{-268}:\\ \;\;\;\;\left(y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\\ \mathbf{elif}\;i \leq 2.2 \cdot 10^{-149}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 1.15 \cdot 10^{-46}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 2.7 \cdot 10^{-6}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 2.8 \cdot 10^{+87}:\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{elif}\;i \leq 1.2 \cdot 10^{+101}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;i \leq 5.8 \cdot 10^{+135}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;i \leq 4.2 \cdot 10^{+155}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 6.4 \cdot 10^{+188}:\\ \;\;\;\;\left(k \cdot y1 - t \cdot c\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 11: 32.3% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ t_2 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;y2 \leq -3.5 \cdot 10^{+212}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -2.1 \cdot 10^{+166}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -3.2 \cdot 10^{+75}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -7.3 \cdot 10^{+22}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y2 \leq -2.1 \cdot 10^{-43}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq -1.45 \cdot 10^{-71}:\\ \;\;\;\;\left(y0 \cdot y2\right) \cdot \left(x \cdot c - k \cdot y5\right)\\ \mathbf{elif}\;y2 \leq -2.7 \cdot 10^{-179}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq 4.6 \cdot 10^{-237}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{-77}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 1.36 \cdot 10^{+73}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{+114}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 6 \cdot 10^{+117}:\\ \;\;\;\;t\_2\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* y3 (- (* c y4) (* a y5)))))
        (t_2 (* j (* x (- (* i y1) (* b y0))))))
   (if (<= y2 -3.5e+212)
     (* y1 (* y2 (- (* k y4) (* x a))))
     (if (<= y2 -2.1e+166)
       t_1
       (if (<= y2 -3.2e+75)
         (* x (* y2 (- (* c y0) (* a y1))))
         (if (<= y2 -7.3e+22)
           t_2
           (if (<= y2 -2.1e-43)
             t_1
             (if (<= y2 -1.45e-71)
               (* (* y0 y2) (- (* x c) (* k y5)))
               (if (<= y2 -2.7e-179)
                 (* i (* x (- (* j y1) (* y c))))
                 (if (<= y2 4.6e-237)
                   t_1
                   (if (<= y2 9e-77)
                     (* i (* y1 (- (* x j) (* z k))))
                     (if (<= y2 1.36e+73)
                       t_1
                       (if (<= y2 4e+114)
                         (* j (* y5 (- (* y0 y3) (* t i))))
                         (if (<= y2 6e+117)
                           t_2
                           (* t (* y2 (- (* a y5) (* c 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 = y * (y3 * ((c * y4) - (a * y5)));
	double t_2 = j * (x * ((i * y1) - (b * y0)));
	double tmp;
	if (y2 <= -3.5e+212) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -2.1e+166) {
		tmp = t_1;
	} else if (y2 <= -3.2e+75) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y2 <= -7.3e+22) {
		tmp = t_2;
	} else if (y2 <= -2.1e-43) {
		tmp = t_1;
	} else if (y2 <= -1.45e-71) {
		tmp = (y0 * y2) * ((x * c) - (k * y5));
	} else if (y2 <= -2.7e-179) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (y2 <= 4.6e-237) {
		tmp = t_1;
	} else if (y2 <= 9e-77) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y2 <= 1.36e+73) {
		tmp = t_1;
	} else if (y2 <= 4e+114) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y2 <= 6e+117) {
		tmp = t_2;
	} else {
		tmp = t * (y2 * ((a * y5) - (c * 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 = y * (y3 * ((c * y4) - (a * y5)))
    t_2 = j * (x * ((i * y1) - (b * y0)))
    if (y2 <= (-3.5d+212)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y2 <= (-2.1d+166)) then
        tmp = t_1
    else if (y2 <= (-3.2d+75)) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y2 <= (-7.3d+22)) then
        tmp = t_2
    else if (y2 <= (-2.1d-43)) then
        tmp = t_1
    else if (y2 <= (-1.45d-71)) then
        tmp = (y0 * y2) * ((x * c) - (k * y5))
    else if (y2 <= (-2.7d-179)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (y2 <= 4.6d-237) then
        tmp = t_1
    else if (y2 <= 9d-77) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (y2 <= 1.36d+73) then
        tmp = t_1
    else if (y2 <= 4d+114) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (y2 <= 6d+117) then
        tmp = t_2
    else
        tmp = t * (y2 * ((a * y5) - (c * 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 = y * (y3 * ((c * y4) - (a * y5)));
	double t_2 = j * (x * ((i * y1) - (b * y0)));
	double tmp;
	if (y2 <= -3.5e+212) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y2 <= -2.1e+166) {
		tmp = t_1;
	} else if (y2 <= -3.2e+75) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y2 <= -7.3e+22) {
		tmp = t_2;
	} else if (y2 <= -2.1e-43) {
		tmp = t_1;
	} else if (y2 <= -1.45e-71) {
		tmp = (y0 * y2) * ((x * c) - (k * y5));
	} else if (y2 <= -2.7e-179) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (y2 <= 4.6e-237) {
		tmp = t_1;
	} else if (y2 <= 9e-77) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y2 <= 1.36e+73) {
		tmp = t_1;
	} else if (y2 <= 4e+114) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y2 <= 6e+117) {
		tmp = t_2;
	} else {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (y3 * ((c * y4) - (a * y5)))
	t_2 = j * (x * ((i * y1) - (b * y0)))
	tmp = 0
	if y2 <= -3.5e+212:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y2 <= -2.1e+166:
		tmp = t_1
	elif y2 <= -3.2e+75:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y2 <= -7.3e+22:
		tmp = t_2
	elif y2 <= -2.1e-43:
		tmp = t_1
	elif y2 <= -1.45e-71:
		tmp = (y0 * y2) * ((x * c) - (k * y5))
	elif y2 <= -2.7e-179:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif y2 <= 4.6e-237:
		tmp = t_1
	elif y2 <= 9e-77:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif y2 <= 1.36e+73:
		tmp = t_1
	elif y2 <= 4e+114:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif y2 <= 6e+117:
		tmp = t_2
	else:
		tmp = t * (y2 * ((a * y5) - (c * 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(y * Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5))))
	t_2 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	tmp = 0.0
	if (y2 <= -3.5e+212)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y2 <= -2.1e+166)
		tmp = t_1;
	elseif (y2 <= -3.2e+75)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y2 <= -7.3e+22)
		tmp = t_2;
	elseif (y2 <= -2.1e-43)
		tmp = t_1;
	elseif (y2 <= -1.45e-71)
		tmp = Float64(Float64(y0 * y2) * Float64(Float64(x * c) - Float64(k * y5)));
	elseif (y2 <= -2.7e-179)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (y2 <= 4.6e-237)
		tmp = t_1;
	elseif (y2 <= 9e-77)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (y2 <= 1.36e+73)
		tmp = t_1;
	elseif (y2 <= 4e+114)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (y2 <= 6e+117)
		tmp = t_2;
	else
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * 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 = y * (y3 * ((c * y4) - (a * y5)));
	t_2 = j * (x * ((i * y1) - (b * y0)));
	tmp = 0.0;
	if (y2 <= -3.5e+212)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y2 <= -2.1e+166)
		tmp = t_1;
	elseif (y2 <= -3.2e+75)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y2 <= -7.3e+22)
		tmp = t_2;
	elseif (y2 <= -2.1e-43)
		tmp = t_1;
	elseif (y2 <= -1.45e-71)
		tmp = (y0 * y2) * ((x * c) - (k * y5));
	elseif (y2 <= -2.7e-179)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (y2 <= 4.6e-237)
		tmp = t_1;
	elseif (y2 <= 9e-77)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (y2 <= 1.36e+73)
		tmp = t_1;
	elseif (y2 <= 4e+114)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (y2 <= 6e+117)
		tmp = t_2;
	else
		tmp = t * (y2 * ((a * y5) - (c * 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[(y * N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -3.5e+212], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.1e+166], t$95$1, If[LessEqual[y2, -3.2e+75], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -7.3e+22], t$95$2, If[LessEqual[y2, -2.1e-43], t$95$1, If[LessEqual[y2, -1.45e-71], N[(N[(y0 * y2), $MachinePrecision] * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -2.7e-179], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4.6e-237], t$95$1, If[LessEqual[y2, 9e-77], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.36e+73], t$95$1, If[LessEqual[y2, 4e+114], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6e+117], t$95$2, N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y2 < -3.49999999999999987e212

   1. Initial program 3.7%

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

   3. Taylor expanded in y2 around inf 74.1%

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

   4. Taylor expanded in y1 around inf 85.2%

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

      1. *-commutative 85.2%

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

      2. +-commutative 85.2%

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

      3. mul-1-neg 85.2%

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

      4. unsub-neg 85.2%

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

      5. *-commutative 85.2%

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

   6. Simplified 85.2%

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

   if -3.49999999999999987e212 < y2 < -2.1000000000000001e166 or -7.29999999999999979e22 < y2 < -2.1000000000000001e-43 or -2.69999999999999988e-179 < y2 < 4.60000000000000023e-237 or 9.0000000000000001e-77 < y2 < 1.3599999999999999e73

   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 y3 around -inf 53.9%

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

   4. Taylor expanded in y around inf 51.4%

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

   if -2.1000000000000001e166 < y2 < -3.19999999999999985e75

   1. Initial program 37.3%

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

   3. Taylor expanded in y2 around inf 64.1%

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

   4. Taylor expanded in x around inf 48.2%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 48.2%

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

   6. Simplified 48.2%

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

   if -3.19999999999999985e75 < y2 < -7.29999999999999979e22 or 4e114 < y2 < 6e117

   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 j around inf 47.0%

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

   4. Taylor expanded in x around inf 53.7%

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

      1. *-commutative 53.7%

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

      2. *-commutative 53.7%

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

   6. Simplified 53.7%

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

   if -2.1000000000000001e-43 < y2 < -1.4499999999999999e-71

   1. Initial program 45.9%

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

   3. Taylor expanded in y2 around inf 28.2%

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

   4. Taylor expanded in y0 around inf 56.2%

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

      1. associate-*r* 56.2%

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

      2. +-commutative 56.2%

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

      3. mul-1-neg 56.2%

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

      4. unsub-neg 56.2%

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

      5. *-commutative 56.2%

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

   6. Simplified 56.2%

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

   if -1.4499999999999999e-71 < y2 < -2.69999999999999988e-179

   1. Initial program 41.2%

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

   3. Taylor expanded in i around -inf 59.1%

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

   4. Taylor expanded in x around inf 59.6%

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

      1. *-commutative 59.6%

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

   6. Simplified 59.6%

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

   if 4.60000000000000023e-237 < y2 < 9.0000000000000001e-77

   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 i around -inf 61.1%

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

   4. Taylor expanded in y1 around inf 51.5%

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

      1. *-commutative 51.5%

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

   6. Simplified 51.5%

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

   if 1.3599999999999999e73 < y2 < 4e114

   1. Initial program 33.9%

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

   3. Taylor expanded in j around inf 50.6%

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

   4. Taylor expanded in y5 around inf 59.4%

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

      1. +-commutative 59.4%

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

      2. mul-1-neg 59.4%

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

      3. unsub-neg 59.4%

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

      4. *-commutative 59.4%

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

      5. *-commutative 59.4%

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

   6. Simplified 59.4%

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

   if 6e117 < y2

   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 62.8%

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

   4. Taylor expanded in t around inf 50.7%

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

      1. *-commutative 50.7%

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

   6. Simplified 50.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 55.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -3.5 \cdot 10^{+212}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y2 \leq -2.1 \cdot 10^{+166}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -3.2 \cdot 10^{+75}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y2 \leq -7.3 \cdot 10^{+22}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y2 \leq -2.1 \cdot 10^{-43}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq -1.45 \cdot 10^{-71}:\\ \;\;\;\;\left(y0 \cdot y2\right) \cdot \left(x \cdot c - k \cdot y5\right)\\ \mathbf{elif}\;y2 \leq -2.7 \cdot 10^{-179}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;y2 \leq 4.6 \cdot 10^{-237}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{-77}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y2 \leq 1.36 \cdot 10^{+73}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 4 \cdot 10^{+114}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y2 \leq 6 \cdot 10^{+117}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 12: 30.4% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ t_2 := c \cdot y4 - a \cdot y5\\ t_3 := c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{if}\;i \leq -6.5 \cdot 10^{+51}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;i \leq -6.5 \cdot 10^{-106}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq -9.5 \cdot 10^{-161}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq -9 \cdot 10^{-219}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq -3.1 \cdot 10^{-265}:\\ \;\;\;\;\left(y \cdot y3\right) \cdot t\_2\\ \mathbf{elif}\;i \leq 3.1 \cdot 10^{-149}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq 2.55 \cdot 10^{-49}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;i \leq 1.55 \cdot 10^{-12}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq 1.1 \cdot 10^{+100}:\\ \;\;\;\;y \cdot \left(y3 \cdot t\_2\right)\\ \mathbf{elif}\;i \leq 2.3 \cdot 10^{+135}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;i \leq 1.62 \cdot 10^{+156}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;i \leq 8.5 \cdot 10^{+188}:\\ \;\;\;\;\left(k \cdot y1 - t \cdot c\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y2 (- (* c y0) (* a y1)))))
        (t_2 (- (* c y4) (* a y5)))
        (t_3 (* c (* y2 (- (* x y0) (* t y4))))))
   (if (<= i -6.5e+51)
     (* (* z i) (- (* t c) (* k y1)))
     (if (<= i -6.5e-106)
       t_1
       (if (<= i -9.5e-161)
         (* a (* b (- (* x y) (* z t))))
         (if (<= i -9e-219)
           t_3
           (if (<= i -3.1e-265)
             (* (* y y3) t_2)
             (if (<= i 3.1e-149)
               t_1
               (if (<= i 2.55e-49)
                 (* i (* y5 (- (* y k) (* t j))))
                 (if (<= i 1.55e-12)
                   t_1
                   (if (<= i 1.1e+100)
                     (* y (* y3 t_2))
                     (if (<= i 2.3e+135)
                       (* i (* x (- (* j y1) (* y c))))
                       (if (<= i 1.62e+156)
                         t_3
                         (if (<= i 8.5e+188)
                           (* (- (* k y1) (* t c)) (* y2 y4))
                           (* (* c i) (- (* z t) (* x 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 = x * (y2 * ((c * y0) - (a * y1)));
	double t_2 = (c * y4) - (a * y5);
	double t_3 = c * (y2 * ((x * y0) - (t * y4)));
	double tmp;
	if (i <= -6.5e+51) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (i <= -6.5e-106) {
		tmp = t_1;
	} else if (i <= -9.5e-161) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (i <= -9e-219) {
		tmp = t_3;
	} else if (i <= -3.1e-265) {
		tmp = (y * y3) * t_2;
	} else if (i <= 3.1e-149) {
		tmp = t_1;
	} else if (i <= 2.55e-49) {
		tmp = i * (y5 * ((y * k) - (t * j)));
	} else if (i <= 1.55e-12) {
		tmp = t_1;
	} else if (i <= 1.1e+100) {
		tmp = y * (y3 * t_2);
	} else if (i <= 2.3e+135) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (i <= 1.62e+156) {
		tmp = t_3;
	} else if (i <= 8.5e+188) {
		tmp = ((k * y1) - (t * c)) * (y2 * y4);
	} else {
		tmp = (c * i) * ((z * t) - (x * 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) :: t_3
    real(8) :: tmp
    t_1 = x * (y2 * ((c * y0) - (a * y1)))
    t_2 = (c * y4) - (a * y5)
    t_3 = c * (y2 * ((x * y0) - (t * y4)))
    if (i <= (-6.5d+51)) then
        tmp = (z * i) * ((t * c) - (k * y1))
    else if (i <= (-6.5d-106)) then
        tmp = t_1
    else if (i <= (-9.5d-161)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (i <= (-9d-219)) then
        tmp = t_3
    else if (i <= (-3.1d-265)) then
        tmp = (y * y3) * t_2
    else if (i <= 3.1d-149) then
        tmp = t_1
    else if (i <= 2.55d-49) then
        tmp = i * (y5 * ((y * k) - (t * j)))
    else if (i <= 1.55d-12) then
        tmp = t_1
    else if (i <= 1.1d+100) then
        tmp = y * (y3 * t_2)
    else if (i <= 2.3d+135) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (i <= 1.62d+156) then
        tmp = t_3
    else if (i <= 8.5d+188) then
        tmp = ((k * y1) - (t * c)) * (y2 * y4)
    else
        tmp = (c * i) * ((z * t) - (x * 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 = x * (y2 * ((c * y0) - (a * y1)));
	double t_2 = (c * y4) - (a * y5);
	double t_3 = c * (y2 * ((x * y0) - (t * y4)));
	double tmp;
	if (i <= -6.5e+51) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (i <= -6.5e-106) {
		tmp = t_1;
	} else if (i <= -9.5e-161) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (i <= -9e-219) {
		tmp = t_3;
	} else if (i <= -3.1e-265) {
		tmp = (y * y3) * t_2;
	} else if (i <= 3.1e-149) {
		tmp = t_1;
	} else if (i <= 2.55e-49) {
		tmp = i * (y5 * ((y * k) - (t * j)));
	} else if (i <= 1.55e-12) {
		tmp = t_1;
	} else if (i <= 1.1e+100) {
		tmp = y * (y3 * t_2);
	} else if (i <= 2.3e+135) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (i <= 1.62e+156) {
		tmp = t_3;
	} else if (i <= 8.5e+188) {
		tmp = ((k * y1) - (t * c)) * (y2 * y4);
	} else {
		tmp = (c * i) * ((z * t) - (x * y));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (y2 * ((c * y0) - (a * y1)))
	t_2 = (c * y4) - (a * y5)
	t_3 = c * (y2 * ((x * y0) - (t * y4)))
	tmp = 0
	if i <= -6.5e+51:
		tmp = (z * i) * ((t * c) - (k * y1))
	elif i <= -6.5e-106:
		tmp = t_1
	elif i <= -9.5e-161:
		tmp = a * (b * ((x * y) - (z * t)))
	elif i <= -9e-219:
		tmp = t_3
	elif i <= -3.1e-265:
		tmp = (y * y3) * t_2
	elif i <= 3.1e-149:
		tmp = t_1
	elif i <= 2.55e-49:
		tmp = i * (y5 * ((y * k) - (t * j)))
	elif i <= 1.55e-12:
		tmp = t_1
	elif i <= 1.1e+100:
		tmp = y * (y3 * t_2)
	elif i <= 2.3e+135:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif i <= 1.62e+156:
		tmp = t_3
	elif i <= 8.5e+188:
		tmp = ((k * y1) - (t * c)) * (y2 * y4)
	else:
		tmp = (c * i) * ((z * t) - (x * 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(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))))
	t_2 = Float64(Float64(c * y4) - Float64(a * y5))
	t_3 = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))))
	tmp = 0.0
	if (i <= -6.5e+51)
		tmp = Float64(Float64(z * i) * Float64(Float64(t * c) - Float64(k * y1)));
	elseif (i <= -6.5e-106)
		tmp = t_1;
	elseif (i <= -9.5e-161)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (i <= -9e-219)
		tmp = t_3;
	elseif (i <= -3.1e-265)
		tmp = Float64(Float64(y * y3) * t_2);
	elseif (i <= 3.1e-149)
		tmp = t_1;
	elseif (i <= 2.55e-49)
		tmp = Float64(i * Float64(y5 * Float64(Float64(y * k) - Float64(t * j))));
	elseif (i <= 1.55e-12)
		tmp = t_1;
	elseif (i <= 1.1e+100)
		tmp = Float64(y * Float64(y3 * t_2));
	elseif (i <= 2.3e+135)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (i <= 1.62e+156)
		tmp = t_3;
	elseif (i <= 8.5e+188)
		tmp = Float64(Float64(Float64(k * y1) - Float64(t * c)) * Float64(y2 * y4));
	else
		tmp = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * 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 = x * (y2 * ((c * y0) - (a * y1)));
	t_2 = (c * y4) - (a * y5);
	t_3 = c * (y2 * ((x * y0) - (t * y4)));
	tmp = 0.0;
	if (i <= -6.5e+51)
		tmp = (z * i) * ((t * c) - (k * y1));
	elseif (i <= -6.5e-106)
		tmp = t_1;
	elseif (i <= -9.5e-161)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (i <= -9e-219)
		tmp = t_3;
	elseif (i <= -3.1e-265)
		tmp = (y * y3) * t_2;
	elseif (i <= 3.1e-149)
		tmp = t_1;
	elseif (i <= 2.55e-49)
		tmp = i * (y5 * ((y * k) - (t * j)));
	elseif (i <= 1.55e-12)
		tmp = t_1;
	elseif (i <= 1.1e+100)
		tmp = y * (y3 * t_2);
	elseif (i <= 2.3e+135)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (i <= 1.62e+156)
		tmp = t_3;
	elseif (i <= 8.5e+188)
		tmp = ((k * y1) - (t * c)) * (y2 * y4);
	else
		tmp = (c * i) * ((z * t) - (x * 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[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -6.5e+51], N[(N[(z * i), $MachinePrecision] * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -6.5e-106], t$95$1, If[LessEqual[i, -9.5e-161], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -9e-219], t$95$3, If[LessEqual[i, -3.1e-265], N[(N[(y * y3), $MachinePrecision] * t$95$2), $MachinePrecision], If[LessEqual[i, 3.1e-149], t$95$1, If[LessEqual[i, 2.55e-49], N[(i * N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.55e-12], t$95$1, If[LessEqual[i, 1.1e+100], N[(y * N[(y3 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 2.3e+135], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.62e+156], t$95$3, If[LessEqual[i, 8.5e+188], N[(N[(N[(k * y1), $MachinePrecision] - N[(t * c), $MachinePrecision]), $MachinePrecision] * N[(y2 * y4), $MachinePrecision]), $MachinePrecision], N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if i < -6.5e51

   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 i around -inf 55.0%

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

   4. Taylor expanded in y5 around 0 50.0%

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

   5. Taylor expanded in z around inf 51.1%

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

      1. associate-*r* 54.2%

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

      2. sub-neg 54.2%

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

      3. mul-1-neg 54.2%

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

      4. distribute-lft-neg-out 54.2%

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

      5. mul-1-neg 54.2%

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

      6. remove-double-neg 54.2%

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

      7. +-commutative 54.2%

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

      8. cancel-sign-sub-inv 54.2%

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

   7. Simplified 54.2%

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

   if -6.5e51 < i < -6.4999999999999997e-106 or -3.09999999999999988e-265 < i < 3.09999999999999987e-149 or 2.55000000000000013e-49 < i < 1.5500000000000001e-12

   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 y2 around inf 64.7%

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

   4. Taylor expanded in x around inf 56.1%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 56.1%

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

   6. Simplified 56.1%

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

   if -6.4999999999999997e-106 < i < -9.4999999999999996e-161

   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 b around inf 46.1%

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

   4. Taylor expanded in a around inf 54.9%

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

      1. *-commutative 54.9%

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

      2. *-commutative 54.9%

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

   6. Simplified 54.9%

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

   if -9.4999999999999996e-161 < i < -9.00000000000000029e-219 or 2.3000000000000001e135 < i < 1.62000000000000006e156

   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 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 c around inf 62.7%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 62.7%

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

      2. *-commutative 62.7%

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

   6. Simplified 62.7%

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

   if -9.00000000000000029e-219 < i < -3.09999999999999988e-265

   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 66.9%

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

   4. Taylor expanded in y around inf 66.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 66.8%

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

   6. Simplified 66.8%

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

   if 3.09999999999999987e-149 < i < 2.55000000000000013e-49

   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 i around -inf 37.8%

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

   4. Taylor expanded in y5 around inf 44.3%

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

      1. *-commutative 44.3%

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

   6. Simplified 44.3%

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

   if 1.5500000000000001e-12 < i < 1.1e100

   1. Initial program 14.5%

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

   3. Taylor expanded in y3 around -inf 54.3%

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

   4. Taylor expanded in y around inf 43.7%

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

   if 1.1e100 < i < 2.3000000000000001e135

   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 i around -inf 75.3%

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

   4. Taylor expanded in x around inf 67.4%

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

      1. *-commutative 67.4%

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

   6. Simplified 67.4%

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

   if 1.62000000000000006e156 < i < 8.49999999999999958e188

   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 y2 around inf 51.1%

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

   4. Taylor expanded in y4 around inf 70.4%

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

      1. associate-*r* 61.0%

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

      2. *-commutative 61.0%

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

   6. Simplified 61.0%

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

   if 8.49999999999999958e188 < i

   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 i around -inf 64.4%

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

   4. Taylor expanded in c around inf 59.8%

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

      1. associate-*r* 64.1%

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

      2. *-commutative 64.1%

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

      3. *-commutative 64.1%

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

   6. Simplified 64.1%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(c \cdot i\right) \cdot \left(y \cdot x - z \cdot t\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 55.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -6.5 \cdot 10^{+51}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;i \leq -6.5 \cdot 10^{-106}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq -9.5 \cdot 10^{-161}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq -9 \cdot 10^{-219}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -3.1 \cdot 10^{-265}:\\ \;\;\;\;\left(y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\\ \mathbf{elif}\;i \leq 3.1 \cdot 10^{-149}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 2.55 \cdot 10^{-49}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;i \leq 1.55 \cdot 10^{-12}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 1.1 \cdot 10^{+100}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq 2.3 \cdot 10^{+135}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;i \leq 1.62 \cdot 10^{+156}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 8.5 \cdot 10^{+188}:\\ \;\;\;\;\left(k \cdot y1 - t \cdot c\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 13: 34.9% accurate, 1.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot y0 - a \cdot y1\\ t_2 := k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ t_3 := y2 \cdot \left(\left(t\_2 + x \cdot t\_1\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;c \leq -5.2 \cdot 10^{+231}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{+135}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;c \leq -9 \cdot 10^{+94}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;c \leq -7.8 \cdot 10^{-8}:\\ \;\;\;\;b \cdot \left(\left(y4 \cdot \left(t \cdot j - y \cdot k\right) - a \cdot \left(z \cdot t - x \cdot y\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -4.6 \cdot 10^{-271}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot t\_1 - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 1.2 \cdot 10^{-220}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{-197}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;c \leq 3.3 \cdot 10^{-102}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq 8.6 \cdot 10^{+58}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(t\_2 + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* c y0) (* a y1)))
        (t_2 (* k (- (* y1 y4) (* y0 y5))))
        (t_3 (* y2 (+ (+ t_2 (* x t_1)) (* t (- (* a y5) (* c y4)))))))
   (if (<= c -5.2e+231)
     (* (* y3 y4) (* y c))
     (if (<= c -3.6e+135)
       (* (- (* x y0) (* t y4)) (* c y2))
       (if (<= c -9e+94)
         (* i (* x (- (* j y1) (* y c))))
         (if (<= c -7.8e-8)
           (*
            b
            (+
             (- (* y4 (- (* t j) (* y k))) (* a (- (* z t) (* x y))))
             (* y0 (- (* z k) (* x j)))))
           (if (<= c -4.6e-271)
             (*
              x
              (+
               (- (* y2 t_1) (* y (- (* c i) (* a b))))
               (* j (- (* i y1) (* b y0)))))
             (if (<= c 1.2e-220)
               t_3
               (if (<= c 9.5e-197)
                 (* (* z i) (- (* t c) (* k y1)))
                 (if (<= c 3.3e-102)
                   t_3
                   (if (<= c 8.6e+58)
                     (* i (* k (- (* y y5) (* z y1))))
                     (*
                      y2
                      (- (+ t_2 (* c (* x y0))) (* c (* 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 = (c * y0) - (a * y1);
	double t_2 = k * ((y1 * y4) - (y0 * y5));
	double t_3 = y2 * ((t_2 + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (c <= -5.2e+231) {
		tmp = (y3 * y4) * (y * c);
	} else if (c <= -3.6e+135) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (c <= -9e+94) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (c <= -7.8e-8) {
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))));
	} else if (c <= -4.6e-271) {
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	} else if (c <= 1.2e-220) {
		tmp = t_3;
	} else if (c <= 9.5e-197) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (c <= 3.3e-102) {
		tmp = t_3;
	} else if (c <= 8.6e+58) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else {
		tmp = y2 * ((t_2 + (c * (x * y0))) - (c * (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) :: t_3
    real(8) :: tmp
    t_1 = (c * y0) - (a * y1)
    t_2 = k * ((y1 * y4) - (y0 * y5))
    t_3 = y2 * ((t_2 + (x * t_1)) + (t * ((a * y5) - (c * y4))))
    if (c <= (-5.2d+231)) then
        tmp = (y3 * y4) * (y * c)
    else if (c <= (-3.6d+135)) then
        tmp = ((x * y0) - (t * y4)) * (c * y2)
    else if (c <= (-9d+94)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (c <= (-7.8d-8)) then
        tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))))
    else if (c <= (-4.6d-271)) then
        tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))))
    else if (c <= 1.2d-220) then
        tmp = t_3
    else if (c <= 9.5d-197) then
        tmp = (z * i) * ((t * c) - (k * y1))
    else if (c <= 3.3d-102) then
        tmp = t_3
    else if (c <= 8.6d+58) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else
        tmp = y2 * ((t_2 + (c * (x * y0))) - (c * (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 = (c * y0) - (a * y1);
	double t_2 = k * ((y1 * y4) - (y0 * y5));
	double t_3 = y2 * ((t_2 + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (c <= -5.2e+231) {
		tmp = (y3 * y4) * (y * c);
	} else if (c <= -3.6e+135) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (c <= -9e+94) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (c <= -7.8e-8) {
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))));
	} else if (c <= -4.6e-271) {
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	} else if (c <= 1.2e-220) {
		tmp = t_3;
	} else if (c <= 9.5e-197) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (c <= 3.3e-102) {
		tmp = t_3;
	} else if (c <= 8.6e+58) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else {
		tmp = y2 * ((t_2 + (c * (x * y0))) - (c * (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 = (c * y0) - (a * y1)
	t_2 = k * ((y1 * y4) - (y0 * y5))
	t_3 = y2 * ((t_2 + (x * t_1)) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if c <= -5.2e+231:
		tmp = (y3 * y4) * (y * c)
	elif c <= -3.6e+135:
		tmp = ((x * y0) - (t * y4)) * (c * y2)
	elif c <= -9e+94:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif c <= -7.8e-8:
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))))
	elif c <= -4.6e-271:
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))))
	elif c <= 1.2e-220:
		tmp = t_3
	elif c <= 9.5e-197:
		tmp = (z * i) * ((t * c) - (k * y1))
	elif c <= 3.3e-102:
		tmp = t_3
	elif c <= 8.6e+58:
		tmp = i * (k * ((y * y5) - (z * y1)))
	else:
		tmp = y2 * ((t_2 + (c * (x * y0))) - (c * (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(Float64(c * y0) - Float64(a * y1))
	t_2 = Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5)))
	t_3 = Float64(y2 * Float64(Float64(t_2 + Float64(x * t_1)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (c <= -5.2e+231)
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	elseif (c <= -3.6e+135)
		tmp = Float64(Float64(Float64(x * y0) - Float64(t * y4)) * Float64(c * y2));
	elseif (c <= -9e+94)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (c <= -7.8e-8)
		tmp = Float64(b * Float64(Float64(Float64(y4 * Float64(Float64(t * j) - Float64(y * k))) - Float64(a * Float64(Float64(z * t) - Float64(x * y)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (c <= -4.6e-271)
		tmp = Float64(x * Float64(Float64(Float64(y2 * t_1) - Float64(y * Float64(Float64(c * i) - Float64(a * b)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (c <= 1.2e-220)
		tmp = t_3;
	elseif (c <= 9.5e-197)
		tmp = Float64(Float64(z * i) * Float64(Float64(t * c) - Float64(k * y1)));
	elseif (c <= 3.3e-102)
		tmp = t_3;
	elseif (c <= 8.6e+58)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	else
		tmp = Float64(y2 * Float64(Float64(t_2 + Float64(c * Float64(x * y0))) - Float64(c * 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 = (c * y0) - (a * y1);
	t_2 = k * ((y1 * y4) - (y0 * y5));
	t_3 = y2 * ((t_2 + (x * t_1)) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (c <= -5.2e+231)
		tmp = (y3 * y4) * (y * c);
	elseif (c <= -3.6e+135)
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	elseif (c <= -9e+94)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (c <= -7.8e-8)
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))));
	elseif (c <= -4.6e-271)
		tmp = x * (((y2 * t_1) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	elseif (c <= 1.2e-220)
		tmp = t_3;
	elseif (c <= 9.5e-197)
		tmp = (z * i) * ((t * c) - (k * y1));
	elseif (c <= 3.3e-102)
		tmp = t_3;
	elseif (c <= 8.6e+58)
		tmp = i * (k * ((y * y5) - (z * y1)));
	else
		tmp = y2 * ((t_2 + (c * (x * y0))) - (c * (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[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y2 * N[(N[(t$95$2 + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -5.2e+231], N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -3.6e+135], N[(N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision] * N[(c * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -9e+94], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -7.8e-8], N[(b * N[(N[(N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -4.6e-271], N[(x * N[(N[(N[(y2 * t$95$1), $MachinePrecision] - N[(y * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.2e-220], t$95$3, If[LessEqual[c, 9.5e-197], N[(N[(z * i), $MachinePrecision] * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.3e-102], t$95$3, If[LessEqual[c, 8.6e+58], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(N[(t$95$2 + N[(c * N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if c < -5.1999999999999997e231

   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 y3 around -inf 63.6%

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

   4. Taylor expanded in y around inf 56.0%

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

   5. Taylor expanded in a around 0 56.2%

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

      1. mul-1-neg 56.2%

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

      2. associate-*r* 73.3%

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

      3. distribute-lft-neg-in 73.3%

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

      4. distribute-rgt-neg-in 73.3%

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

      5. *-commutative 73.3%

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

   7. Simplified 73.3%

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

   if -5.1999999999999997e231 < c < -3.5999999999999998e135

   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 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 a around 0 45.7%

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

   5. Taylor expanded in c around inf 56.1%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 56.1%

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

      2. *-commutative 56.1%

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

      3. associate-*l* 56.2%

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

      4. *-commutative 56.2%

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

      5. *-commutative 56.2%

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

   7. Simplified 56.2%

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

   if -3.5999999999999998e135 < c < -8.99999999999999944e94

   1. Initial program 19.7%

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

   3. Taylor expanded in i around -inf 79.7%

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

   4. Taylor expanded in x around inf 100.0%

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

      1. *-commutative 100.0%

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

   6. Simplified 100.0%

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

   if -8.99999999999999944e94 < c < -7.7999999999999997e-8

   1. Initial program 39.3%

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

   3. Taylor expanded in b around inf 61.3%

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

   if -7.7999999999999997e-8 < c < -4.60000000000000017e-271

   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 x around inf 52.5%

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

   if -4.60000000000000017e-271 < c < 1.2000000000000001e-220 or 9.5000000000000003e-197 < c < 3.3e-102

   1. Initial program 28.5%

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

   3. Taylor expanded in y2 around inf 59.8%

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

   if 1.2000000000000001e-220 < c < 9.5000000000000003e-197

   1. Initial program 50.0%

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

   3. Taylor expanded in i around -inf 66.7%

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

   4. Taylor expanded in y5 around 0 50.0%

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

   5. Taylor expanded in z around inf 84.1%

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

      1. associate-*r* 84.1%

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

      2. sub-neg 84.1%

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

      3. mul-1-neg 84.1%

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

      4. distribute-lft-neg-out 84.1%

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

      5. mul-1-neg 84.1%

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

      6. remove-double-neg 84.1%

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

      7. +-commutative 84.1%

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

      8. cancel-sign-sub-inv 84.1%

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

   7. Simplified 84.1%

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

   if 3.3e-102 < c < 8.59999999999999982e58

   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 i around -inf 48.8%

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

   4. Taylor expanded in k around inf 52.2%

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

      1. distribute-lft-out-- 52.2%

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

      2. *-commutative 52.2%

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

   6. Simplified 52.2%

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

   if 8.59999999999999982e58 < c

   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 y2 around inf 58.7%

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

   4. Taylor expanded in a around 0 60.5%

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

4. Final simplification 59.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -5.2 \cdot 10^{+231}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{+135}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;c \leq -9 \cdot 10^{+94}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;c \leq -7.8 \cdot 10^{-8}:\\ \;\;\;\;b \cdot \left(\left(y4 \cdot \left(t \cdot j - y \cdot k\right) - a \cdot \left(z \cdot t - x \cdot y\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq -4.6 \cdot 10^{-271}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 1.2 \cdot 10^{-220}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 9.5 \cdot 10^{-197}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;c \leq 3.3 \cdot 10^{-102}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 8.6 \cdot 10^{+58}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 14: 32.4% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ t_2 := c \cdot y4 - a \cdot y5\\ \mathbf{if}\;i \leq -1.05 \cdot 10^{+134}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;i \leq -1.6 \cdot 10^{-104}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{elif}\;i \leq -2.6 \cdot 10^{-159}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{-219}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -5 \cdot 10^{-266}:\\ \;\;\;\;\left(y \cdot y3\right) \cdot t\_2\\ \mathbf{elif}\;i \leq 2.2 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 4.4 \cdot 10^{-15}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;i \leq 2.1 \cdot 10^{+117}:\\ \;\;\;\;y \cdot \left(y3 \cdot t\_2\right)\\ \mathbf{elif}\;i \leq 6.9 \cdot 10^{+186}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y2
          (- (+ (* k (- (* y1 y4) (* y0 y5))) (* c (* x y0))) (* c (* t y4)))))
        (t_2 (- (* c y4) (* a y5))))
   (if (<= i -1.05e+134)
     (* (* z i) (- (* t c) (* k y1)))
     (if (<= i -1.6e-104)
       (- (* i (* y5 (- (* y k) (* t j)))) (* (* z y1) (* i k)))
       (if (<= i -2.6e-159)
         (* a (* b (- (* x y) (* z t))))
         (if (<= i -1.35e-219)
           (* c (* y2 (- (* x y0) (* t y4))))
           (if (<= i -5e-266)
             (* (* y y3) t_2)
             (if (<= i 2.2e-187)
               (* x (* y2 (- (* c y0) (* a y1))))
               (if (<= i 4.4e-15)
                 t_1
                 (if (<= i 2.1e+117)
                   (* y (* y3 t_2))
                   (if (<= i 6.9e+186)
                     t_1
                     (* (* c i) (- (* z t) (* x 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 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)));
	double t_2 = (c * y4) - (a * y5);
	double tmp;
	if (i <= -1.05e+134) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (i <= -1.6e-104) {
		tmp = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k));
	} else if (i <= -2.6e-159) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (i <= -1.35e-219) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (i <= -5e-266) {
		tmp = (y * y3) * t_2;
	} else if (i <= 2.2e-187) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (i <= 4.4e-15) {
		tmp = t_1;
	} else if (i <= 2.1e+117) {
		tmp = y * (y3 * t_2);
	} else if (i <= 6.9e+186) {
		tmp = t_1;
	} else {
		tmp = (c * i) * ((z * t) - (x * 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 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)))
    t_2 = (c * y4) - (a * y5)
    if (i <= (-1.05d+134)) then
        tmp = (z * i) * ((t * c) - (k * y1))
    else if (i <= (-1.6d-104)) then
        tmp = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k))
    else if (i <= (-2.6d-159)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (i <= (-1.35d-219)) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (i <= (-5d-266)) then
        tmp = (y * y3) * t_2
    else if (i <= 2.2d-187) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (i <= 4.4d-15) then
        tmp = t_1
    else if (i <= 2.1d+117) then
        tmp = y * (y3 * t_2)
    else if (i <= 6.9d+186) then
        tmp = t_1
    else
        tmp = (c * i) * ((z * t) - (x * 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 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)));
	double t_2 = (c * y4) - (a * y5);
	double tmp;
	if (i <= -1.05e+134) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (i <= -1.6e-104) {
		tmp = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k));
	} else if (i <= -2.6e-159) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (i <= -1.35e-219) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (i <= -5e-266) {
		tmp = (y * y3) * t_2;
	} else if (i <= 2.2e-187) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (i <= 4.4e-15) {
		tmp = t_1;
	} else if (i <= 2.1e+117) {
		tmp = y * (y3 * t_2);
	} else if (i <= 6.9e+186) {
		tmp = t_1;
	} else {
		tmp = (c * i) * ((z * t) - (x * y));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)))
	t_2 = (c * y4) - (a * y5)
	tmp = 0
	if i <= -1.05e+134:
		tmp = (z * i) * ((t * c) - (k * y1))
	elif i <= -1.6e-104:
		tmp = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k))
	elif i <= -2.6e-159:
		tmp = a * (b * ((x * y) - (z * t)))
	elif i <= -1.35e-219:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif i <= -5e-266:
		tmp = (y * y3) * t_2
	elif i <= 2.2e-187:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif i <= 4.4e-15:
		tmp = t_1
	elif i <= 2.1e+117:
		tmp = y * (y3 * t_2)
	elif i <= 6.9e+186:
		tmp = t_1
	else:
		tmp = (c * i) * ((z * t) - (x * 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(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(c * Float64(x * y0))) - Float64(c * Float64(t * y4))))
	t_2 = Float64(Float64(c * y4) - Float64(a * y5))
	tmp = 0.0
	if (i <= -1.05e+134)
		tmp = Float64(Float64(z * i) * Float64(Float64(t * c) - Float64(k * y1)));
	elseif (i <= -1.6e-104)
		tmp = Float64(Float64(i * Float64(y5 * Float64(Float64(y * k) - Float64(t * j)))) - Float64(Float64(z * y1) * Float64(i * k)));
	elseif (i <= -2.6e-159)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (i <= -1.35e-219)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (i <= -5e-266)
		tmp = Float64(Float64(y * y3) * t_2);
	elseif (i <= 2.2e-187)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (i <= 4.4e-15)
		tmp = t_1;
	elseif (i <= 2.1e+117)
		tmp = Float64(y * Float64(y3 * t_2));
	elseif (i <= 6.9e+186)
		tmp = t_1;
	else
		tmp = Float64(Float64(c * i) * Float64(Float64(z * t) - Float64(x * 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 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)));
	t_2 = (c * y4) - (a * y5);
	tmp = 0.0;
	if (i <= -1.05e+134)
		tmp = (z * i) * ((t * c) - (k * y1));
	elseif (i <= -1.6e-104)
		tmp = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k));
	elseif (i <= -2.6e-159)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (i <= -1.35e-219)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (i <= -5e-266)
		tmp = (y * y3) * t_2;
	elseif (i <= 2.2e-187)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (i <= 4.4e-15)
		tmp = t_1;
	elseif (i <= 2.1e+117)
		tmp = y * (y3 * t_2);
	elseif (i <= 6.9e+186)
		tmp = t_1;
	else
		tmp = (c * i) * ((z * t) - (x * 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[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -1.05e+134], N[(N[(z * i), $MachinePrecision] * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.6e-104], N[(N[(i * N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(z * y1), $MachinePrecision] * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -2.6e-159], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.35e-219], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -5e-266], N[(N[(y * y3), $MachinePrecision] * t$95$2), $MachinePrecision], If[LessEqual[i, 2.2e-187], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 4.4e-15], t$95$1, If[LessEqual[i, 2.1e+117], N[(y * N[(y3 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 6.9e+186], t$95$1, N[(N[(c * i), $MachinePrecision] * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if i < -1.05e134

   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 i around -inf 61.9%

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

   4. Taylor expanded in y5 around 0 54.8%

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

   5. Taylor expanded in z around inf 53.5%

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

      1. associate-*r* 55.8%

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

      2. sub-neg 55.8%

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

      3. mul-1-neg 55.8%

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

      4. distribute-lft-neg-out 55.8%

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

      5. mul-1-neg 55.8%

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

      6. remove-double-neg 55.8%

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

      7. +-commutative 55.8%

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

      8. cancel-sign-sub-inv 55.8%

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

   7. Simplified 55.8%

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

   if -1.05e134 < i < -1.59999999999999994e-104

   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 i around -inf 41.0%

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

   4. Taylor expanded in y5 around 0 41.0%

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

   5. Taylor expanded in k around inf 48.6%

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

      1. associate-*r* 46.3%

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

      2. *-commutative 46.3%

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

      3. *-commutative 46.3%

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

   7. Simplified 46.3%

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

   if -1.59999999999999994e-104 < i < -2.5999999999999998e-159

   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 b around inf 46.1%

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

   4. Taylor expanded in a around inf 54.9%

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

      1. *-commutative 54.9%

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

      2. *-commutative 54.9%

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

   6. Simplified 54.9%

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

   if -2.5999999999999998e-159 < i < -1.35e-219

   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 y2 around inf 42.5%

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

   4. Taylor expanded in c around inf 60.3%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 60.3%

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

      2. *-commutative 60.3%

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

   6. Simplified 60.3%

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

   if -1.35e-219 < i < -4.99999999999999992e-266

   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 66.9%

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

   4. Taylor expanded in y around inf 66.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 66.8%

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

   6. Simplified 66.8%

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

   if -4.99999999999999992e-266 < i < 2.20000000000000008e-187

   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 67.9%

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

   4. Taylor expanded in x around inf 61.9%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 61.9%

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

   6. Simplified 61.9%

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

   if 2.20000000000000008e-187 < i < 4.39999999999999971e-15 or 2.1000000000000001e117 < i < 6.89999999999999992e186

   1. Initial program 27.6%

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

   3. Taylor expanded in y2 around inf 56.0%

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

   4. Taylor expanded in a around 0 60.6%

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

   if 4.39999999999999971e-15 < i < 2.1000000000000001e117

   1. Initial program 16.8%

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

   3. Taylor expanded in y3 around -inf 47.9%

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

   4. Taylor expanded in y around inf 42.7%

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

   if 6.89999999999999992e186 < i

   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 i around -inf 66.0%

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

   4. Taylor expanded in c around inf 57.2%

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

      1. associate-*r* 61.3%

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

      2. *-commutative 61.3%

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

      3. *-commutative 61.3%

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

   6. Simplified 61.3%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(c \cdot i\right) \cdot \left(y \cdot x - z \cdot t\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 55.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -1.05 \cdot 10^{+134}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;i \leq -1.6 \cdot 10^{-104}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{elif}\;i \leq -2.6 \cdot 10^{-159}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;i \leq -1.35 \cdot 10^{-219}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq -5 \cdot 10^{-266}:\\ \;\;\;\;\left(y \cdot y3\right) \cdot \left(c \cdot y4 - a \cdot y5\right)\\ \mathbf{elif}\;i \leq 2.2 \cdot 10^{-187}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;i \leq 4.4 \cdot 10^{-15}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;i \leq 2.1 \cdot 10^{+117}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;i \leq 6.9 \cdot 10^{+186}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(c \cdot i\right) \cdot \left(z \cdot t - x \cdot y\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 15: 29.9% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ t_2 := x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{if}\;y5 \leq -2.2 \cdot 10^{+82}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.05 \cdot 10^{-182}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 3.65 \cdot 10^{-292}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 1.8 \cdot 10^{-200}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{-190}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 1.6 \cdot 10^{-171}:\\ \;\;\;\;\left(k \cdot y1\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 5.6 \cdot 10^{-140}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y5 \leq 2.45 \cdot 10^{-76}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 6.5 \cdot 10^{-30}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 8.5 \cdot 10^{+34}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 1.65 \cdot 10^{+192}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (- (* x y) (* z t)))))
        (t_2 (* x (* y2 (- (* c y0) (* a y1))))))
   (if (<= y5 -2.2e+82)
     (* (- k) (* y0 (* y2 y5)))
     (if (<= y5 -1.05e-182)
       t_2
       (if (<= y5 3.65e-292)
         t_1
         (if (<= y5 1.8e-200)
           t_2
           (if (<= y5 2.3e-190)
             t_1
             (if (<= y5 1.6e-171)
               (* (* k y1) (* y2 y4))
               (if (<= y5 5.6e-140)
                 (* (* y3 y4) (* y c))
                 (if (<= y5 2.45e-76)
                   (* c (* y2 (- (* x y0) (* t y4))))
                   (if (<= y5 6.5e-30)
                     (* j (* x (- (* i y1) (* b y0))))
                     (if (<= y5 8.5e+34)
                       t_2
                       (if (<= y5 1.65e+192)
                         (* t (* y2 (- (* a y5) (* c y4))))
                         (* j (* y5 (- (* y0 y3) (* t 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 = a * (b * ((x * y) - (z * t)));
	double t_2 = x * (y2 * ((c * y0) - (a * y1)));
	double tmp;
	if (y5 <= -2.2e+82) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y5 <= -1.05e-182) {
		tmp = t_2;
	} else if (y5 <= 3.65e-292) {
		tmp = t_1;
	} else if (y5 <= 1.8e-200) {
		tmp = t_2;
	} else if (y5 <= 2.3e-190) {
		tmp = t_1;
	} else if (y5 <= 1.6e-171) {
		tmp = (k * y1) * (y2 * y4);
	} else if (y5 <= 5.6e-140) {
		tmp = (y3 * y4) * (y * c);
	} else if (y5 <= 2.45e-76) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (y5 <= 6.5e-30) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y5 <= 8.5e+34) {
		tmp = t_2;
	} else if (y5 <= 1.65e+192) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = j * (y5 * ((y0 * y3) - (t * 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 = a * (b * ((x * y) - (z * t)))
    t_2 = x * (y2 * ((c * y0) - (a * y1)))
    if (y5 <= (-2.2d+82)) then
        tmp = -k * (y0 * (y2 * y5))
    else if (y5 <= (-1.05d-182)) then
        tmp = t_2
    else if (y5 <= 3.65d-292) then
        tmp = t_1
    else if (y5 <= 1.8d-200) then
        tmp = t_2
    else if (y5 <= 2.3d-190) then
        tmp = t_1
    else if (y5 <= 1.6d-171) then
        tmp = (k * y1) * (y2 * y4)
    else if (y5 <= 5.6d-140) then
        tmp = (y3 * y4) * (y * c)
    else if (y5 <= 2.45d-76) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (y5 <= 6.5d-30) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y5 <= 8.5d+34) then
        tmp = t_2
    else if (y5 <= 1.65d+192) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = j * (y5 * ((y0 * y3) - (t * 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 = a * (b * ((x * y) - (z * t)));
	double t_2 = x * (y2 * ((c * y0) - (a * y1)));
	double tmp;
	if (y5 <= -2.2e+82) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y5 <= -1.05e-182) {
		tmp = t_2;
	} else if (y5 <= 3.65e-292) {
		tmp = t_1;
	} else if (y5 <= 1.8e-200) {
		tmp = t_2;
	} else if (y5 <= 2.3e-190) {
		tmp = t_1;
	} else if (y5 <= 1.6e-171) {
		tmp = (k * y1) * (y2 * y4);
	} else if (y5 <= 5.6e-140) {
		tmp = (y3 * y4) * (y * c);
	} else if (y5 <= 2.45e-76) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (y5 <= 6.5e-30) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y5 <= 8.5e+34) {
		tmp = t_2;
	} else if (y5 <= 1.65e+192) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (b * ((x * y) - (z * t)))
	t_2 = x * (y2 * ((c * y0) - (a * y1)))
	tmp = 0
	if y5 <= -2.2e+82:
		tmp = -k * (y0 * (y2 * y5))
	elif y5 <= -1.05e-182:
		tmp = t_2
	elif y5 <= 3.65e-292:
		tmp = t_1
	elif y5 <= 1.8e-200:
		tmp = t_2
	elif y5 <= 2.3e-190:
		tmp = t_1
	elif y5 <= 1.6e-171:
		tmp = (k * y1) * (y2 * y4)
	elif y5 <= 5.6e-140:
		tmp = (y3 * y4) * (y * c)
	elif y5 <= 2.45e-76:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif y5 <= 6.5e-30:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y5 <= 8.5e+34:
		tmp = t_2
	elif y5 <= 1.65e+192:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = j * (y5 * ((y0 * y3) - (t * 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(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	t_2 = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))))
	tmp = 0.0
	if (y5 <= -2.2e+82)
		tmp = Float64(Float64(-k) * Float64(y0 * Float64(y2 * y5)));
	elseif (y5 <= -1.05e-182)
		tmp = t_2;
	elseif (y5 <= 3.65e-292)
		tmp = t_1;
	elseif (y5 <= 1.8e-200)
		tmp = t_2;
	elseif (y5 <= 2.3e-190)
		tmp = t_1;
	elseif (y5 <= 1.6e-171)
		tmp = Float64(Float64(k * y1) * Float64(y2 * y4));
	elseif (y5 <= 5.6e-140)
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	elseif (y5 <= 2.45e-76)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (y5 <= 6.5e-30)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y5 <= 8.5e+34)
		tmp = t_2;
	elseif (y5 <= 1.65e+192)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * 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 = a * (b * ((x * y) - (z * t)));
	t_2 = x * (y2 * ((c * y0) - (a * y1)));
	tmp = 0.0;
	if (y5 <= -2.2e+82)
		tmp = -k * (y0 * (y2 * y5));
	elseif (y5 <= -1.05e-182)
		tmp = t_2;
	elseif (y5 <= 3.65e-292)
		tmp = t_1;
	elseif (y5 <= 1.8e-200)
		tmp = t_2;
	elseif (y5 <= 2.3e-190)
		tmp = t_1;
	elseif (y5 <= 1.6e-171)
		tmp = (k * y1) * (y2 * y4);
	elseif (y5 <= 5.6e-140)
		tmp = (y3 * y4) * (y * c);
	elseif (y5 <= 2.45e-76)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (y5 <= 6.5e-30)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y5 <= 8.5e+34)
		tmp = t_2;
	elseif (y5 <= 1.65e+192)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = j * (y5 * ((y0 * y3) - (t * 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[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -2.2e+82], N[((-k) * N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.05e-182], t$95$2, If[LessEqual[y5, 3.65e-292], t$95$1, If[LessEqual[y5, 1.8e-200], t$95$2, If[LessEqual[y5, 2.3e-190], t$95$1, If[LessEqual[y5, 1.6e-171], N[(N[(k * y1), $MachinePrecision] * N[(y2 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5.6e-140], N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 2.45e-76], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 6.5e-30], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 8.5e+34], t$95$2, If[LessEqual[y5, 1.65e+192], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y5 < -2.2000000000000001e82

   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 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 a around 0 41.8%

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

   5. Taylor expanded in y5 around inf 39.4%

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

      1. associate-*r* 39.4%

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

      2. neg-mul-1 39.4%

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

   7. Simplified 39.4%

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

   if -2.2000000000000001e82 < y5 < -1.05e-182 or 3.6499999999999999e-292 < y5 < 1.8000000000000001e-200 or 6.5000000000000005e-30 < y5 < 8.5000000000000003e34

   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 45.5%

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

   4. Taylor expanded in x around inf 46.8%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 46.8%

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

   6. Simplified 46.8%

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

   if -1.05e-182 < y5 < 3.6499999999999999e-292 or 1.8000000000000001e-200 < y5 < 2.29999999999999992e-190

   1. Initial program 36.3%

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

   3. Taylor expanded in b around inf 45.7%

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

   4. Taylor expanded in a around inf 61.1%

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

      1. *-commutative 61.1%

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

      2. *-commutative 61.1%

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

   6. Simplified 61.1%

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

   if 2.29999999999999992e-190 < y5 < 1.6000000000000001e-171

   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 37.6%

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

   4. Taylor expanded in y4 around inf 70.9%

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

      1. associate-*r* 100.0%

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

      2. *-commutative 100.0%

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

   6. Simplified 100.0%

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

   7. Taylor expanded in y1 around inf 100.0%

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

   if 1.6000000000000001e-171 < y5 < 5.6000000000000005e-140

   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 50.6%

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

   4. Taylor expanded in y around inf 63.5%

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

   5. Taylor expanded in a around 0 63.4%

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

      1. mul-1-neg 63.4%

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

      2. associate-*r* 75.4%

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

      3. distribute-lft-neg-in 75.4%

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

      4. distribute-rgt-neg-in 75.4%

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

      5. *-commutative 75.4%

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

   7. Simplified 75.4%

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

   if 5.6000000000000005e-140 < y5 < 2.44999999999999986e-76

   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 72.3%

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

   4. Taylor expanded in c around inf 44.7%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 44.7%

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

      2. *-commutative 44.7%

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

   6. Simplified 44.7%

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

   if 2.44999999999999986e-76 < y5 < 6.5000000000000005e-30

   1. Initial program 46.5%

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

   3. Taylor expanded in j around inf 74.0%

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

   4. Taylor expanded in x around inf 54.5%

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

      1. *-commutative 54.5%

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

      2. *-commutative 54.5%

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

   6. Simplified 54.5%

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

   if 8.5000000000000003e34 < y5 < 1.65000000000000005e192

   1. Initial program 15.7%

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

   3. Taylor expanded in y2 around inf 39.0%

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

   4. Taylor expanded in t around inf 50.6%

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

      1. *-commutative 50.6%

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

   6. Simplified 50.6%

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

   if 1.65000000000000005e192 < y5

   1. Initial program 20.8%

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

   3. Taylor expanded in j around inf 45.9%

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

   4. Taylor expanded in y5 around inf 75.1%

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

      1. +-commutative 75.1%

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

      2. mul-1-neg 75.1%

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

      3. unsub-neg 75.1%

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

      4. *-commutative 75.1%

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

      5. *-commutative 75.1%

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

   6. Simplified 75.1%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y3 \cdot y0 - t \cdot i\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 52.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -2.2 \cdot 10^{+82}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.05 \cdot 10^{-182}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 3.65 \cdot 10^{-292}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 1.8 \cdot 10^{-200}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{-190}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 1.6 \cdot 10^{-171}:\\ \;\;\;\;\left(k \cdot y1\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 5.6 \cdot 10^{-140}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y5 \leq 2.45 \cdot 10^{-76}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y5 \leq 6.5 \cdot 10^{-30}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 8.5 \cdot 10^{+34}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.65 \cdot 10^{+192}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 16: 29.7% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ t_2 := x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{if}\;y5 \leq -1.8 \cdot 10^{+81}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.6 \cdot 10^{-182}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 1.35 \cdot 10^{-296}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 3.3 \cdot 10^{-201}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 2.65 \cdot 10^{-190}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 2.2 \cdot 10^{-171}:\\ \;\;\;\;\left(k \cdot y1\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 1.55 \cdot 10^{-140}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y5 \leq 7.8 \cdot 10^{-77}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;y5 \leq 4.6 \cdot 10^{-29}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 5.4 \cdot 10^{+40}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 1.7 \cdot 10^{+192}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* a (* b (- (* x y) (* z t)))))
        (t_2 (* x (* y2 (- (* c y0) (* a y1))))))
   (if (<= y5 -1.8e+81)
     (* (- k) (* y0 (* y2 y5)))
     (if (<= y5 -1.6e-182)
       t_2
       (if (<= y5 1.35e-296)
         t_1
         (if (<= y5 3.3e-201)
           t_2
           (if (<= y5 2.65e-190)
             t_1
             (if (<= y5 2.2e-171)
               (* (* k y1) (* y2 y4))
               (if (<= y5 1.55e-140)
                 (* (* y3 y4) (* y c))
                 (if (<= y5 7.8e-77)
                   (* (- (* x y0) (* t y4)) (* c y2))
                   (if (<= y5 4.6e-29)
                     (* j (* x (- (* i y1) (* b y0))))
                     (if (<= y5 5.4e+40)
                       t_2
                       (if (<= y5 1.7e+192)
                         (* t (* y2 (- (* a y5) (* c y4))))
                         (* j (* y5 (- (* y0 y3) (* t 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 = a * (b * ((x * y) - (z * t)));
	double t_2 = x * (y2 * ((c * y0) - (a * y1)));
	double tmp;
	if (y5 <= -1.8e+81) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y5 <= -1.6e-182) {
		tmp = t_2;
	} else if (y5 <= 1.35e-296) {
		tmp = t_1;
	} else if (y5 <= 3.3e-201) {
		tmp = t_2;
	} else if (y5 <= 2.65e-190) {
		tmp = t_1;
	} else if (y5 <= 2.2e-171) {
		tmp = (k * y1) * (y2 * y4);
	} else if (y5 <= 1.55e-140) {
		tmp = (y3 * y4) * (y * c);
	} else if (y5 <= 7.8e-77) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (y5 <= 4.6e-29) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y5 <= 5.4e+40) {
		tmp = t_2;
	} else if (y5 <= 1.7e+192) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = j * (y5 * ((y0 * y3) - (t * 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 = a * (b * ((x * y) - (z * t)))
    t_2 = x * (y2 * ((c * y0) - (a * y1)))
    if (y5 <= (-1.8d+81)) then
        tmp = -k * (y0 * (y2 * y5))
    else if (y5 <= (-1.6d-182)) then
        tmp = t_2
    else if (y5 <= 1.35d-296) then
        tmp = t_1
    else if (y5 <= 3.3d-201) then
        tmp = t_2
    else if (y5 <= 2.65d-190) then
        tmp = t_1
    else if (y5 <= 2.2d-171) then
        tmp = (k * y1) * (y2 * y4)
    else if (y5 <= 1.55d-140) then
        tmp = (y3 * y4) * (y * c)
    else if (y5 <= 7.8d-77) then
        tmp = ((x * y0) - (t * y4)) * (c * y2)
    else if (y5 <= 4.6d-29) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y5 <= 5.4d+40) then
        tmp = t_2
    else if (y5 <= 1.7d+192) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = j * (y5 * ((y0 * y3) - (t * 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 = a * (b * ((x * y) - (z * t)));
	double t_2 = x * (y2 * ((c * y0) - (a * y1)));
	double tmp;
	if (y5 <= -1.8e+81) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y5 <= -1.6e-182) {
		tmp = t_2;
	} else if (y5 <= 1.35e-296) {
		tmp = t_1;
	} else if (y5 <= 3.3e-201) {
		tmp = t_2;
	} else if (y5 <= 2.65e-190) {
		tmp = t_1;
	} else if (y5 <= 2.2e-171) {
		tmp = (k * y1) * (y2 * y4);
	} else if (y5 <= 1.55e-140) {
		tmp = (y3 * y4) * (y * c);
	} else if (y5 <= 7.8e-77) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (y5 <= 4.6e-29) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y5 <= 5.4e+40) {
		tmp = t_2;
	} else if (y5 <= 1.7e+192) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = a * (b * ((x * y) - (z * t)))
	t_2 = x * (y2 * ((c * y0) - (a * y1)))
	tmp = 0
	if y5 <= -1.8e+81:
		tmp = -k * (y0 * (y2 * y5))
	elif y5 <= -1.6e-182:
		tmp = t_2
	elif y5 <= 1.35e-296:
		tmp = t_1
	elif y5 <= 3.3e-201:
		tmp = t_2
	elif y5 <= 2.65e-190:
		tmp = t_1
	elif y5 <= 2.2e-171:
		tmp = (k * y1) * (y2 * y4)
	elif y5 <= 1.55e-140:
		tmp = (y3 * y4) * (y * c)
	elif y5 <= 7.8e-77:
		tmp = ((x * y0) - (t * y4)) * (c * y2)
	elif y5 <= 4.6e-29:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y5 <= 5.4e+40:
		tmp = t_2
	elif y5 <= 1.7e+192:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = j * (y5 * ((y0 * y3) - (t * 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(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	t_2 = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))))
	tmp = 0.0
	if (y5 <= -1.8e+81)
		tmp = Float64(Float64(-k) * Float64(y0 * Float64(y2 * y5)));
	elseif (y5 <= -1.6e-182)
		tmp = t_2;
	elseif (y5 <= 1.35e-296)
		tmp = t_1;
	elseif (y5 <= 3.3e-201)
		tmp = t_2;
	elseif (y5 <= 2.65e-190)
		tmp = t_1;
	elseif (y5 <= 2.2e-171)
		tmp = Float64(Float64(k * y1) * Float64(y2 * y4));
	elseif (y5 <= 1.55e-140)
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	elseif (y5 <= 7.8e-77)
		tmp = Float64(Float64(Float64(x * y0) - Float64(t * y4)) * Float64(c * y2));
	elseif (y5 <= 4.6e-29)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y5 <= 5.4e+40)
		tmp = t_2;
	elseif (y5 <= 1.7e+192)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * 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 = a * (b * ((x * y) - (z * t)));
	t_2 = x * (y2 * ((c * y0) - (a * y1)));
	tmp = 0.0;
	if (y5 <= -1.8e+81)
		tmp = -k * (y0 * (y2 * y5));
	elseif (y5 <= -1.6e-182)
		tmp = t_2;
	elseif (y5 <= 1.35e-296)
		tmp = t_1;
	elseif (y5 <= 3.3e-201)
		tmp = t_2;
	elseif (y5 <= 2.65e-190)
		tmp = t_1;
	elseif (y5 <= 2.2e-171)
		tmp = (k * y1) * (y2 * y4);
	elseif (y5 <= 1.55e-140)
		tmp = (y3 * y4) * (y * c);
	elseif (y5 <= 7.8e-77)
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	elseif (y5 <= 4.6e-29)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y5 <= 5.4e+40)
		tmp = t_2;
	elseif (y5 <= 1.7e+192)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = j * (y5 * ((y0 * y3) - (t * 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[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -1.8e+81], N[((-k) * N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.6e-182], t$95$2, If[LessEqual[y5, 1.35e-296], t$95$1, If[LessEqual[y5, 3.3e-201], t$95$2, If[LessEqual[y5, 2.65e-190], t$95$1, If[LessEqual[y5, 2.2e-171], N[(N[(k * y1), $MachinePrecision] * N[(y2 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.55e-140], N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 7.8e-77], N[(N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision] * N[(c * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 4.6e-29], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 5.4e+40], t$95$2, If[LessEqual[y5, 1.7e+192], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y5 < -1.80000000000000003e81

   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 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 a around 0 41.8%

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

   5. Taylor expanded in y5 around inf 39.4%

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

      1. associate-*r* 39.4%

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

      2. neg-mul-1 39.4%

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

   7. Simplified 39.4%

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

   if -1.80000000000000003e81 < y5 < -1.60000000000000001e-182 or 1.34999999999999999e-296 < y5 < 3.3000000000000003e-201 or 4.59999999999999982e-29 < y5 < 5.40000000000000019e40

   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 45.5%

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

   4. Taylor expanded in x around inf 46.8%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 46.8%

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

   6. Simplified 46.8%

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

   if -1.60000000000000001e-182 < y5 < 1.34999999999999999e-296 or 3.3000000000000003e-201 < y5 < 2.6500000000000001e-190

   1. Initial program 36.3%

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

   3. Taylor expanded in b around inf 45.7%

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

   4. Taylor expanded in a around inf 61.1%

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

      1. *-commutative 61.1%

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

      2. *-commutative 61.1%

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

   6. Simplified 61.1%

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

   if 2.6500000000000001e-190 < y5 < 2.2000000000000001e-171

   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 37.6%

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

   4. Taylor expanded in y4 around inf 70.9%

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

      1. associate-*r* 100.0%

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

      2. *-commutative 100.0%

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

   6. Simplified 100.0%

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

   7. Taylor expanded in y1 around inf 100.0%

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

   if 2.2000000000000001e-171 < y5 < 1.55e-140

   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 50.6%

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

   4. Taylor expanded in y around inf 63.5%

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

   5. Taylor expanded in a around 0 63.4%

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

      1. mul-1-neg 63.4%

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

      2. associate-*r* 75.4%

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

      3. distribute-lft-neg-in 75.4%

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

      4. distribute-rgt-neg-in 75.4%

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

      5. *-commutative 75.4%

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

   7. Simplified 75.4%

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

   if 1.55e-140 < y5 < 7.79999999999999958e-77

   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 72.3%

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

   4. Taylor expanded in a around 0 58.2%

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

   5. Taylor expanded in c around inf 44.7%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.7%

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

      2. *-commutative 44.7%

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

      3. associate-*l* 51.1%

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

      4. *-commutative 51.1%

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

      5. *-commutative 51.1%

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

   7. Simplified 51.1%

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

   if 7.79999999999999958e-77 < y5 < 4.59999999999999982e-29

   1. Initial program 46.5%

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

   3. Taylor expanded in j around inf 74.0%

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

   4. Taylor expanded in x around inf 54.5%

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

      1. *-commutative 54.5%

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

      2. *-commutative 54.5%

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

   6. Simplified 54.5%

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

   if 5.40000000000000019e40 < y5 < 1.69999999999999998e192

   1. Initial program 15.7%

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

   3. Taylor expanded in y2 around inf 39.0%

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

   4. Taylor expanded in t around inf 50.6%

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

      1. *-commutative 50.6%

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

   6. Simplified 50.6%

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

   if 1.69999999999999998e192 < y5

   1. Initial program 20.8%

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

   3. Taylor expanded in j around inf 45.9%

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

   4. Taylor expanded in y5 around inf 75.1%

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

      1. +-commutative 75.1%

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

      2. mul-1-neg 75.1%

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

      3. unsub-neg 75.1%

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

      4. *-commutative 75.1%

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

      5. *-commutative 75.1%

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

   6. Simplified 75.1%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y3 \cdot y0 - t \cdot i\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 52.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -1.8 \cdot 10^{+81}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -1.6 \cdot 10^{-182}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.35 \cdot 10^{-296}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 3.3 \cdot 10^{-201}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 2.65 \cdot 10^{-190}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 2.2 \cdot 10^{-171}:\\ \;\;\;\;\left(k \cdot y1\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 1.55 \cdot 10^{-140}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y5 \leq 7.8 \cdot 10^{-77}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;y5 \leq 4.6 \cdot 10^{-29}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 5.4 \cdot 10^{+40}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.7 \cdot 10^{+192}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 17: 31.9% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ t_2 := a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{if}\;y5 \leq -3.6 \cdot 10^{+16}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq -1.08 \cdot 10^{-182}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 1.14 \cdot 10^{-299}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 2.2 \cdot 10^{-200}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{-187}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y5 \leq 2.5 \cdot 10^{-170}:\\ \;\;\;\;\left(k \cdot y1\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 8 \cdot 10^{-141}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y5 \leq 1.15 \cdot 10^{-77}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;y5 \leq 6 \cdot 10^{-28}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.65 \cdot 10^{+34}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y5 \leq 1.35 \cdot 10^{+192}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y2 (- (* c y0) (* a y1)))))
        (t_2 (* a (* b (- (* x y) (* z t))))))
   (if (<= y5 -3.6e+16)
     (* i (* y5 (- (* y k) (* t j))))
     (if (<= y5 -1.08e-182)
       t_1
       (if (<= y5 1.14e-299)
         t_2
         (if (<= y5 2.2e-200)
           t_1
           (if (<= y5 2.3e-187)
             t_2
             (if (<= y5 2.5e-170)
               (* (* k y1) (* y2 y4))
               (if (<= y5 8e-141)
                 (* (* y3 y4) (* y c))
                 (if (<= y5 1.15e-77)
                   (* (- (* x y0) (* t y4)) (* c y2))
                   (if (<= y5 6e-28)
                     (* j (* x (- (* i y1) (* b y0))))
                     (if (<= y5 1.65e+34)
                       t_1
                       (if (<= y5 1.35e+192)
                         (* t (* y2 (- (* a y5) (* c y4))))
                         (* j (* y5 (- (* y0 y3) (* t 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 = x * (y2 * ((c * y0) - (a * y1)));
	double t_2 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (y5 <= -3.6e+16) {
		tmp = i * (y5 * ((y * k) - (t * j)));
	} else if (y5 <= -1.08e-182) {
		tmp = t_1;
	} else if (y5 <= 1.14e-299) {
		tmp = t_2;
	} else if (y5 <= 2.2e-200) {
		tmp = t_1;
	} else if (y5 <= 2.3e-187) {
		tmp = t_2;
	} else if (y5 <= 2.5e-170) {
		tmp = (k * y1) * (y2 * y4);
	} else if (y5 <= 8e-141) {
		tmp = (y3 * y4) * (y * c);
	} else if (y5 <= 1.15e-77) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (y5 <= 6e-28) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y5 <= 1.65e+34) {
		tmp = t_1;
	} else if (y5 <= 1.35e+192) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = j * (y5 * ((y0 * y3) - (t * 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 = x * (y2 * ((c * y0) - (a * y1)))
    t_2 = a * (b * ((x * y) - (z * t)))
    if (y5 <= (-3.6d+16)) then
        tmp = i * (y5 * ((y * k) - (t * j)))
    else if (y5 <= (-1.08d-182)) then
        tmp = t_1
    else if (y5 <= 1.14d-299) then
        tmp = t_2
    else if (y5 <= 2.2d-200) then
        tmp = t_1
    else if (y5 <= 2.3d-187) then
        tmp = t_2
    else if (y5 <= 2.5d-170) then
        tmp = (k * y1) * (y2 * y4)
    else if (y5 <= 8d-141) then
        tmp = (y3 * y4) * (y * c)
    else if (y5 <= 1.15d-77) then
        tmp = ((x * y0) - (t * y4)) * (c * y2)
    else if (y5 <= 6d-28) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y5 <= 1.65d+34) then
        tmp = t_1
    else if (y5 <= 1.35d+192) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = j * (y5 * ((y0 * y3) - (t * 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 = x * (y2 * ((c * y0) - (a * y1)));
	double t_2 = a * (b * ((x * y) - (z * t)));
	double tmp;
	if (y5 <= -3.6e+16) {
		tmp = i * (y5 * ((y * k) - (t * j)));
	} else if (y5 <= -1.08e-182) {
		tmp = t_1;
	} else if (y5 <= 1.14e-299) {
		tmp = t_2;
	} else if (y5 <= 2.2e-200) {
		tmp = t_1;
	} else if (y5 <= 2.3e-187) {
		tmp = t_2;
	} else if (y5 <= 2.5e-170) {
		tmp = (k * y1) * (y2 * y4);
	} else if (y5 <= 8e-141) {
		tmp = (y3 * y4) * (y * c);
	} else if (y5 <= 1.15e-77) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (y5 <= 6e-28) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y5 <= 1.65e+34) {
		tmp = t_1;
	} else if (y5 <= 1.35e+192) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (y2 * ((c * y0) - (a * y1)))
	t_2 = a * (b * ((x * y) - (z * t)))
	tmp = 0
	if y5 <= -3.6e+16:
		tmp = i * (y5 * ((y * k) - (t * j)))
	elif y5 <= -1.08e-182:
		tmp = t_1
	elif y5 <= 1.14e-299:
		tmp = t_2
	elif y5 <= 2.2e-200:
		tmp = t_1
	elif y5 <= 2.3e-187:
		tmp = t_2
	elif y5 <= 2.5e-170:
		tmp = (k * y1) * (y2 * y4)
	elif y5 <= 8e-141:
		tmp = (y3 * y4) * (y * c)
	elif y5 <= 1.15e-77:
		tmp = ((x * y0) - (t * y4)) * (c * y2)
	elif y5 <= 6e-28:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y5 <= 1.65e+34:
		tmp = t_1
	elif y5 <= 1.35e+192:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = j * (y5 * ((y0 * y3) - (t * 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(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))))
	t_2 = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))))
	tmp = 0.0
	if (y5 <= -3.6e+16)
		tmp = Float64(i * Float64(y5 * Float64(Float64(y * k) - Float64(t * j))));
	elseif (y5 <= -1.08e-182)
		tmp = t_1;
	elseif (y5 <= 1.14e-299)
		tmp = t_2;
	elseif (y5 <= 2.2e-200)
		tmp = t_1;
	elseif (y5 <= 2.3e-187)
		tmp = t_2;
	elseif (y5 <= 2.5e-170)
		tmp = Float64(Float64(k * y1) * Float64(y2 * y4));
	elseif (y5 <= 8e-141)
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	elseif (y5 <= 1.15e-77)
		tmp = Float64(Float64(Float64(x * y0) - Float64(t * y4)) * Float64(c * y2));
	elseif (y5 <= 6e-28)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y5 <= 1.65e+34)
		tmp = t_1;
	elseif (y5 <= 1.35e+192)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * 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 = x * (y2 * ((c * y0) - (a * y1)));
	t_2 = a * (b * ((x * y) - (z * t)));
	tmp = 0.0;
	if (y5 <= -3.6e+16)
		tmp = i * (y5 * ((y * k) - (t * j)));
	elseif (y5 <= -1.08e-182)
		tmp = t_1;
	elseif (y5 <= 1.14e-299)
		tmp = t_2;
	elseif (y5 <= 2.2e-200)
		tmp = t_1;
	elseif (y5 <= 2.3e-187)
		tmp = t_2;
	elseif (y5 <= 2.5e-170)
		tmp = (k * y1) * (y2 * y4);
	elseif (y5 <= 8e-141)
		tmp = (y3 * y4) * (y * c);
	elseif (y5 <= 1.15e-77)
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	elseif (y5 <= 6e-28)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y5 <= 1.65e+34)
		tmp = t_1;
	elseif (y5 <= 1.35e+192)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = j * (y5 * ((y0 * y3) - (t * 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[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -3.6e+16], N[(i * N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -1.08e-182], t$95$1, If[LessEqual[y5, 1.14e-299], t$95$2, If[LessEqual[y5, 2.2e-200], t$95$1, If[LessEqual[y5, 2.3e-187], t$95$2, If[LessEqual[y5, 2.5e-170], N[(N[(k * y1), $MachinePrecision] * N[(y2 * y4), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 8e-141], N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.15e-77], N[(N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision] * N[(c * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 6e-28], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 1.65e+34], t$95$1, If[LessEqual[y5, 1.35e+192], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y5 < -3.6e16

   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 i around -inf 38.3%

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

   4. Taylor expanded in y5 around inf 40.6%

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

      1. *-commutative 40.6%

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

   6. Simplified 40.6%

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

   if -3.6e16 < y5 < -1.08000000000000003e-182 or 1.14e-299 < y5 < 2.20000000000000013e-200 or 6.00000000000000005e-28 < y5 < 1.64999999999999994e34

   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 y2 around inf 47.0%

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

   4. Taylor expanded in x around inf 48.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 48.5%

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

   6. Simplified 48.5%

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

   if -1.08000000000000003e-182 < y5 < 1.14e-299 or 2.20000000000000013e-200 < y5 < 2.29999999999999998e-187

   1. Initial program 36.3%

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

   3. Taylor expanded in b around inf 45.7%

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

   4. Taylor expanded in a around inf 61.1%

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

      1. *-commutative 61.1%

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

      2. *-commutative 61.1%

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

   6. Simplified 61.1%

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

   if 2.29999999999999998e-187 < y5 < 2.50000000000000005e-170

   1. Initial program 33.3%

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

   3. Taylor expanded in y2 around inf 37.6%

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

   4. Taylor expanded in y4 around inf 70.9%

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

      1. associate-*r* 100.0%

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

      2. *-commutative 100.0%

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

   6. Simplified 100.0%

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

   7. Taylor expanded in y1 around inf 100.0%

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

   if 2.50000000000000005e-170 < y5 < 8.0000000000000003e-141

   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 50.6%

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

   4. Taylor expanded in y around inf 63.5%

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

   5. Taylor expanded in a around 0 63.4%

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

      1. mul-1-neg 63.4%

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

      2. associate-*r* 75.4%

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

      3. distribute-lft-neg-in 75.4%

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

      4. distribute-rgt-neg-in 75.4%

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

      5. *-commutative 75.4%

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

   7. Simplified 75.4%

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

   if 8.0000000000000003e-141 < y5 < 1.14999999999999999e-77

   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 72.3%

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

   4. Taylor expanded in a around 0 58.2%

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

   5. Taylor expanded in c around inf 44.7%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 44.7%

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

      2. *-commutative 44.7%

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

      3. associate-*l* 51.1%

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

      4. *-commutative 51.1%

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

      5. *-commutative 51.1%

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

   7. Simplified 51.1%

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

   if 1.14999999999999999e-77 < y5 < 6.00000000000000005e-28

   1. Initial program 46.5%

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

   3. Taylor expanded in j around inf 74.0%

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

   4. Taylor expanded in x around inf 54.5%

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

      1. *-commutative 54.5%

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

      2. *-commutative 54.5%

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

   6. Simplified 54.5%

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

   if 1.64999999999999994e34 < y5 < 1.34999999999999995e192

   1. Initial program 15.7%

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

   3. Taylor expanded in y2 around inf 39.0%

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

   4. Taylor expanded in t around inf 50.6%

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

      1. *-commutative 50.6%

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

   6. Simplified 50.6%

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

   if 1.34999999999999995e192 < y5

   1. Initial program 20.8%

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

   3. Taylor expanded in j around inf 45.9%

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

   4. Taylor expanded in y5 around inf 75.1%

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

      1. +-commutative 75.1%

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

      2. mul-1-neg 75.1%

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

      3. unsub-neg 75.1%

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

      4. *-commutative 75.1%

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

      5. *-commutative 75.1%

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

   6. Simplified 75.1%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y3 \cdot y0 - t \cdot i\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 53.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -3.6 \cdot 10^{+16}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\\ \mathbf{elif}\;y5 \leq -1.08 \cdot 10^{-182}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.14 \cdot 10^{-299}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 2.2 \cdot 10^{-200}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 2.3 \cdot 10^{-187}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y5 \leq 2.5 \cdot 10^{-170}:\\ \;\;\;\;\left(k \cdot y1\right) \cdot \left(y2 \cdot y4\right)\\ \mathbf{elif}\;y5 \leq 8 \cdot 10^{-141}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y5 \leq 1.15 \cdot 10^{-77}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;y5 \leq 6 \cdot 10^{-28}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 1.65 \cdot 10^{+34}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y5 \leq 1.35 \cdot 10^{+192}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 18: 35.5% accurate, 1.4× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\\ t_2 := c \cdot y0 - a \cdot y1\\ t_3 := y2 \cdot \left(\left(t\_1 + x \cdot t\_2\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{if}\;c \leq -5.2 \cdot 10^{+231}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;c \leq -8.2 \cdot 10^{+139}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-8}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-271}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot t\_2 - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 5.4 \cdot 10^{-219}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-197}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;c \leq 3.35 \cdot 10^{-102}:\\ \;\;\;\;t\_3\\ \mathbf{elif}\;c \leq 1.26 \cdot 10^{+65}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(t\_1 + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* k (- (* y1 y4) (* y0 y5))))
        (t_2 (- (* c y0) (* a y1)))
        (t_3 (* y2 (+ (+ t_1 (* x t_2)) (* t (- (* a y5) (* c y4)))))))
   (if (<= c -5.2e+231)
     (* (* y3 y4) (* y c))
     (if (<= c -8.2e+139)
       (* (- (* x y0) (* t y4)) (* c y2))
       (if (<= c -4.2e-8)
         (*
          y4
          (+
           (+ (* b (- (* t j) (* y k))) (* y1 (- (* k y2) (* j y3))))
           (* c (- (* y y3) (* t y2)))))
         (if (<= c -4.2e-271)
           (*
            x
            (+
             (- (* y2 t_2) (* y (- (* c i) (* a b))))
             (* j (- (* i y1) (* b y0)))))
           (if (<= c 5.4e-219)
             t_3
             (if (<= c 2.1e-197)
               (* (* z i) (- (* t c) (* k y1)))
               (if (<= c 3.35e-102)
                 t_3
                 (if (<= c 1.26e+65)
                   (* i (* k (- (* y y5) (* z y1))))
                   (* y2 (- (+ t_1 (* c (* x y0))) (* c (* 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 = k * ((y1 * y4) - (y0 * y5));
	double t_2 = (c * y0) - (a * y1);
	double t_3 = y2 * ((t_1 + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (c <= -5.2e+231) {
		tmp = (y3 * y4) * (y * c);
	} else if (c <= -8.2e+139) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (c <= -4.2e-8) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (c <= -4.2e-271) {
		tmp = x * (((y2 * t_2) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	} else if (c <= 5.4e-219) {
		tmp = t_3;
	} else if (c <= 2.1e-197) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (c <= 3.35e-102) {
		tmp = t_3;
	} else if (c <= 1.26e+65) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else {
		tmp = y2 * ((t_1 + (c * (x * y0))) - (c * (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) :: t_3
    real(8) :: tmp
    t_1 = k * ((y1 * y4) - (y0 * y5))
    t_2 = (c * y0) - (a * y1)
    t_3 = y2 * ((t_1 + (x * t_2)) + (t * ((a * y5) - (c * y4))))
    if (c <= (-5.2d+231)) then
        tmp = (y3 * y4) * (y * c)
    else if (c <= (-8.2d+139)) then
        tmp = ((x * y0) - (t * y4)) * (c * y2)
    else if (c <= (-4.2d-8)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (c <= (-4.2d-271)) then
        tmp = x * (((y2 * t_2) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))))
    else if (c <= 5.4d-219) then
        tmp = t_3
    else if (c <= 2.1d-197) then
        tmp = (z * i) * ((t * c) - (k * y1))
    else if (c <= 3.35d-102) then
        tmp = t_3
    else if (c <= 1.26d+65) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else
        tmp = y2 * ((t_1 + (c * (x * y0))) - (c * (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 = k * ((y1 * y4) - (y0 * y5));
	double t_2 = (c * y0) - (a * y1);
	double t_3 = y2 * ((t_1 + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	double tmp;
	if (c <= -5.2e+231) {
		tmp = (y3 * y4) * (y * c);
	} else if (c <= -8.2e+139) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (c <= -4.2e-8) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (c <= -4.2e-271) {
		tmp = x * (((y2 * t_2) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	} else if (c <= 5.4e-219) {
		tmp = t_3;
	} else if (c <= 2.1e-197) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (c <= 3.35e-102) {
		tmp = t_3;
	} else if (c <= 1.26e+65) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else {
		tmp = y2 * ((t_1 + (c * (x * y0))) - (c * (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 = k * ((y1 * y4) - (y0 * y5))
	t_2 = (c * y0) - (a * y1)
	t_3 = y2 * ((t_1 + (x * t_2)) + (t * ((a * y5) - (c * y4))))
	tmp = 0
	if c <= -5.2e+231:
		tmp = (y3 * y4) * (y * c)
	elif c <= -8.2e+139:
		tmp = ((x * y0) - (t * y4)) * (c * y2)
	elif c <= -4.2e-8:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif c <= -4.2e-271:
		tmp = x * (((y2 * t_2) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))))
	elif c <= 5.4e-219:
		tmp = t_3
	elif c <= 2.1e-197:
		tmp = (z * i) * ((t * c) - (k * y1))
	elif c <= 3.35e-102:
		tmp = t_3
	elif c <= 1.26e+65:
		tmp = i * (k * ((y * y5) - (z * y1)))
	else:
		tmp = y2 * ((t_1 + (c * (x * y0))) - (c * (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(k * Float64(Float64(y1 * y4) - Float64(y0 * y5)))
	t_2 = Float64(Float64(c * y0) - Float64(a * y1))
	t_3 = Float64(y2 * Float64(Float64(t_1 + Float64(x * t_2)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))))
	tmp = 0.0
	if (c <= -5.2e+231)
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	elseif (c <= -8.2e+139)
		tmp = Float64(Float64(Float64(x * y0) - Float64(t * y4)) * Float64(c * y2));
	elseif (c <= -4.2e-8)
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * Float64(Float64(k * y2) - Float64(j * y3)))) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (c <= -4.2e-271)
		tmp = Float64(x * Float64(Float64(Float64(y2 * t_2) - Float64(y * Float64(Float64(c * i) - Float64(a * b)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (c <= 5.4e-219)
		tmp = t_3;
	elseif (c <= 2.1e-197)
		tmp = Float64(Float64(z * i) * Float64(Float64(t * c) - Float64(k * y1)));
	elseif (c <= 3.35e-102)
		tmp = t_3;
	elseif (c <= 1.26e+65)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	else
		tmp = Float64(y2 * Float64(Float64(t_1 + Float64(c * Float64(x * y0))) - Float64(c * 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 = k * ((y1 * y4) - (y0 * y5));
	t_2 = (c * y0) - (a * y1);
	t_3 = y2 * ((t_1 + (x * t_2)) + (t * ((a * y5) - (c * y4))));
	tmp = 0.0;
	if (c <= -5.2e+231)
		tmp = (y3 * y4) * (y * c);
	elseif (c <= -8.2e+139)
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	elseif (c <= -4.2e-8)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (c <= -4.2e-271)
		tmp = x * (((y2 * t_2) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	elseif (c <= 5.4e-219)
		tmp = t_3;
	elseif (c <= 2.1e-197)
		tmp = (z * i) * ((t * c) - (k * y1));
	elseif (c <= 3.35e-102)
		tmp = t_3;
	elseif (c <= 1.26e+65)
		tmp = i * (k * ((y * y5) - (z * y1)));
	else
		tmp = y2 * ((t_1 + (c * (x * y0))) - (c * (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[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y2 * N[(N[(t$95$1 + N[(x * t$95$2), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[c, -5.2e+231], N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -8.2e+139], N[(N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision] * N[(c * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -4.2e-8], N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $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[c, -4.2e-271], N[(x * N[(N[(N[(y2 * t$95$2), $MachinePrecision] - N[(y * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 5.4e-219], t$95$3, If[LessEqual[c, 2.1e-197], N[(N[(z * i), $MachinePrecision] * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.35e-102], t$95$3, If[LessEqual[c, 1.26e+65], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(N[(t$95$1 + N[(c * N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if c < -5.1999999999999997e231

   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 y3 around -inf 63.6%

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

   4. Taylor expanded in y around inf 56.0%

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

   5. Taylor expanded in a around 0 56.2%

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

      1. mul-1-neg 56.2%

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

      2. associate-*r* 73.3%

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

      3. distribute-lft-neg-in 73.3%

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

      4. distribute-rgt-neg-in 73.3%

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

      5. *-commutative 73.3%

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

   7. Simplified 73.3%

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

   if -5.1999999999999997e231 < c < -8.2000000000000004e139

   1. Initial program 21.5%

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

   3. Taylor expanded in y2 around inf 43.1%

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

   4. Taylor expanded in a around 0 48.1%

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

   5. Taylor expanded in c around inf 58.9%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 58.9%

         \[\leadsto \color{blue}{\left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right) \cdot c} \]

      2. *-commutative 58.9%

         \[\leadsto \color{blue}{\left(\left(x \cdot y0 - t \cdot y4\right) \cdot y2\right)} \cdot c \]

      3. associate-*l* 59.0%

         \[\leadsto \color{blue}{\left(x \cdot y0 - t \cdot y4\right) \cdot \left(y2 \cdot c\right)} \]

      4. *-commutative 59.0%

         \[\leadsto \left(\color{blue}{y0 \cdot x} - t \cdot y4\right) \cdot \left(y2 \cdot c\right) \]

      5. *-commutative 59.0%

         \[\leadsto \left(y0 \cdot x - \color{blue}{y4 \cdot t}\right) \cdot \left(y2 \cdot c\right) \]

   7. Simplified 59.0%

      \[\leadsto \color{blue}{\left(y0 \cdot x - y4 \cdot t\right) \cdot \left(y2 \cdot c\right)} \]

   if -8.2000000000000004e139 < c < -4.19999999999999989e-8

   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 y4 around inf 60.9%

      \[\leadsto \color{blue}{y4 \cdot \left(\left(b \cdot \left(j \cdot t - k \cdot y\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - c \cdot \left(t \cdot y2 - y \cdot y3\right)\right)} \]

   if -4.19999999999999989e-8 < c < -4.2000000000000001e-271

   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 x around inf 52.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if -4.2000000000000001e-271 < c < 5.3999999999999999e-219 or 2.1e-197 < c < 3.35e-102

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 59.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   if 5.3999999999999999e-219 < c < 2.1e-197

   1. Initial program 50.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 66.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 50.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right) + i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   5. Taylor expanded in z around inf 84.1%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(z \cdot \left(-1 \cdot \left(c \cdot t\right) - -1 \cdot \left(k \cdot y1\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 84.1%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot z\right) \cdot \left(-1 \cdot \left(c \cdot t\right) - -1 \cdot \left(k \cdot y1\right)\right)\right)} \]

      2. sub-neg 84.1%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \color{blue}{\left(-1 \cdot \left(c \cdot t\right) + \left(--1 \cdot \left(k \cdot y1\right)\right)\right)}\right) \]

      3. mul-1-neg 84.1%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \left(\color{blue}{\left(-c \cdot t\right)} + \left(--1 \cdot \left(k \cdot y1\right)\right)\right)\right) \]

      4. distribute-lft-neg-out 84.1%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \left(\color{blue}{\left(-c\right) \cdot t} + \left(--1 \cdot \left(k \cdot y1\right)\right)\right)\right) \]

      5. mul-1-neg 84.1%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \left(\left(-c\right) \cdot t + \left(-\color{blue}{\left(-k \cdot y1\right)}\right)\right)\right) \]

      6. remove-double-neg 84.1%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \left(\left(-c\right) \cdot t + \color{blue}{k \cdot y1}\right)\right) \]

      7. +-commutative 84.1%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \color{blue}{\left(k \cdot y1 + \left(-c\right) \cdot t\right)}\right) \]

      8. cancel-sign-sub-inv 84.1%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \color{blue}{\left(k \cdot y1 - c \cdot t\right)}\right) \]

   7. Simplified 84.1%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot z\right) \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]

   if 3.35e-102 < c < 1.2599999999999999e65

   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 i around -inf 48.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in k around inf 52.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y5\right) - -1 \cdot \left(y1 \cdot z\right)\right)\right)\right)} \]
   5. Step-by-step derivation

      1. distribute-lft-out-- 52.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(k \cdot \color{blue}{\left(-1 \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)}\right)\right) \]

      2. *-commutative 52.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y5 - \color{blue}{z \cdot y1}\right)\right)\right)\right) \]

   6. Simplified 52.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\right)\right)} \]

   if 1.2599999999999999e65 < c

   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 y2 around inf 58.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 60.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 58.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -5.2 \cdot 10^{+231}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;c \leq -8.2 \cdot 10^{+139}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-8}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;c \leq -4.2 \cdot 10^{-271}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 5.4 \cdot 10^{-219}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 2.1 \cdot 10^{-197}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;c \leq 3.35 \cdot 10^{-102}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 1.26 \cdot 10^{+65}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 19: 34.4% accurate, 1.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;c \leq -4.5 \cdot 10^{+231}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{+135}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;c \leq -3.9 \cdot 10^{+102}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;c \leq -4.6 \cdot 10^{-8}:\\ \;\;\;\;b \cdot \left(\left(y4 \cdot \left(t \cdot j - y \cdot k\right) - a \cdot \left(z \cdot t - x \cdot y\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 3.6 \cdot 10^{-257}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 6.7 \cdot 10^{-180}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;c \leq 1.2 \cdot 10^{-116}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;c \leq 4.3 \cdot 10^{+63}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= c -4.5e+231)
   (* (* y3 y4) (* y c))
   (if (<= c -3.6e+135)
     (* (- (* x y0) (* t y4)) (* c y2))
     (if (<= c -3.9e+102)
       (* i (* x (- (* j y1) (* y c))))
       (if (<= c -4.6e-8)
         (*
          b
          (+
           (- (* y4 (- (* t j) (* y k))) (* a (- (* z t) (* x y))))
           (* y0 (- (* z k) (* x j)))))
         (if (<= c 3.6e-257)
           (*
            x
            (+
             (- (* y2 (- (* c y0) (* a y1))) (* y (- (* c i) (* a b))))
             (* j (- (* i y1) (* b y0)))))
           (if (<= c 6.7e-180)
             (* i (* y1 (- (* x j) (* z k))))
             (if (<= c 1.2e-116)
               (* j (* y5 (- (* y0 y3) (* t i))))
               (if (<= c 4.3e+63)
                 (* i (* k (- (* y y5) (* z y1))))
                 (*
                  y2
                  (-
                   (+ (* k (- (* y1 y4) (* y0 y5))) (* c (* x y0)))
                   (* c (* t y4)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -4.5e+231) {
		tmp = (y3 * y4) * (y * c);
	} else if (c <= -3.6e+135) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (c <= -3.9e+102) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (c <= -4.6e-8) {
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))));
	} else if (c <= 3.6e-257) {
		tmp = x * (((y2 * ((c * y0) - (a * y1))) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	} else if (c <= 6.7e-180) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (c <= 1.2e-116) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (c <= 4.3e+63) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (c <= (-4.5d+231)) then
        tmp = (y3 * y4) * (y * c)
    else if (c <= (-3.6d+135)) then
        tmp = ((x * y0) - (t * y4)) * (c * y2)
    else if (c <= (-3.9d+102)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (c <= (-4.6d-8)) then
        tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))))
    else if (c <= 3.6d-257) then
        tmp = x * (((y2 * ((c * y0) - (a * y1))) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))))
    else if (c <= 6.7d-180) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (c <= 1.2d-116) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (c <= 4.3d+63) then
        tmp = i * (k * ((y * y5) - (z * y1)))
    else
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -4.5e+231) {
		tmp = (y3 * y4) * (y * c);
	} else if (c <= -3.6e+135) {
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	} else if (c <= -3.9e+102) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (c <= -4.6e-8) {
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))));
	} else if (c <= 3.6e-257) {
		tmp = x * (((y2 * ((c * y0) - (a * y1))) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	} else if (c <= 6.7e-180) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (c <= 1.2e-116) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (c <= 4.3e+63) {
		tmp = i * (k * ((y * y5) - (z * y1)));
	} else {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if c <= -4.5e+231:
		tmp = (y3 * y4) * (y * c)
	elif c <= -3.6e+135:
		tmp = ((x * y0) - (t * y4)) * (c * y2)
	elif c <= -3.9e+102:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif c <= -4.6e-8:
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))))
	elif c <= 3.6e-257:
		tmp = x * (((y2 * ((c * y0) - (a * y1))) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))))
	elif c <= 6.7e-180:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif c <= 1.2e-116:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif c <= 4.3e+63:
		tmp = i * (k * ((y * y5) - (z * y1)))
	else:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (c <= -4.5e+231)
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	elseif (c <= -3.6e+135)
		tmp = Float64(Float64(Float64(x * y0) - Float64(t * y4)) * Float64(c * y2));
	elseif (c <= -3.9e+102)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (c <= -4.6e-8)
		tmp = Float64(b * Float64(Float64(Float64(y4 * Float64(Float64(t * j) - Float64(y * k))) - Float64(a * Float64(Float64(z * t) - Float64(x * y)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (c <= 3.6e-257)
		tmp = Float64(x * Float64(Float64(Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(y * Float64(Float64(c * i) - Float64(a * b)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (c <= 6.7e-180)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (c <= 1.2e-116)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (c <= 4.3e+63)
		tmp = Float64(i * Float64(k * Float64(Float64(y * y5) - Float64(z * y1))));
	else
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(c * Float64(x * y0))) - Float64(c * Float64(t * y4))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (c <= -4.5e+231)
		tmp = (y3 * y4) * (y * c);
	elseif (c <= -3.6e+135)
		tmp = ((x * y0) - (t * y4)) * (c * y2);
	elseif (c <= -3.9e+102)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (c <= -4.6e-8)
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))));
	elseif (c <= 3.6e-257)
		tmp = x * (((y2 * ((c * y0) - (a * y1))) - (y * ((c * i) - (a * b)))) + (j * ((i * y1) - (b * y0))));
	elseif (c <= 6.7e-180)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (c <= 1.2e-116)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (c <= 4.3e+63)
		tmp = i * (k * ((y * y5) - (z * y1)));
	else
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[c, -4.5e+231], N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -3.6e+135], N[(N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision] * N[(c * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -3.9e+102], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, -4.6e-8], N[(b * N[(N[(N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 3.6e-257], N[(x * N[(N[(N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(y * N[(N[(c * i), $MachinePrecision] - N[(a * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 6.7e-180], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 1.2e-116], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 4.3e+63], N[(i * N[(k * N[(N[(y * y5), $MachinePrecision] - N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if c < -4.49999999999999991e231

   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 y3 around -inf 63.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 56.0%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 56.2%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 56.2%

         \[\leadsto -1 \cdot \color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. associate-*r* 73.3%

         \[\leadsto -1 \cdot \left(-\color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4\right)}\right) \]

      3. distribute-lft-neg-in 73.3%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-c \cdot y\right) \cdot \left(y3 \cdot y4\right)\right)} \]

      4. distribute-rgt-neg-in 73.3%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(c \cdot \left(-y\right)\right)} \cdot \left(y3 \cdot y4\right)\right) \]

      5. *-commutative 73.3%

         \[\leadsto -1 \cdot \left(\left(c \cdot \left(-y\right)\right) \cdot \color{blue}{\left(y4 \cdot y3\right)}\right) \]

   7. Simplified 73.3%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(c \cdot \left(-y\right)\right) \cdot \left(y4 \cdot y3\right)\right)} \]

   if -4.49999999999999991e231 < c < -3.5999999999999998e135

   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 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 a around 0 45.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in c around inf 56.1%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 56.1%

         \[\leadsto \color{blue}{\left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right) \cdot c} \]

      2. *-commutative 56.1%

         \[\leadsto \color{blue}{\left(\left(x \cdot y0 - t \cdot y4\right) \cdot y2\right)} \cdot c \]

      3. associate-*l* 56.2%

         \[\leadsto \color{blue}{\left(x \cdot y0 - t \cdot y4\right) \cdot \left(y2 \cdot c\right)} \]

      4. *-commutative 56.2%

         \[\leadsto \left(\color{blue}{y0 \cdot x} - t \cdot y4\right) \cdot \left(y2 \cdot c\right) \]

      5. *-commutative 56.2%

         \[\leadsto \left(y0 \cdot x - \color{blue}{y4 \cdot t}\right) \cdot \left(y2 \cdot c\right) \]

   7. Simplified 56.2%

      \[\leadsto \color{blue}{\left(y0 \cdot x - y4 \cdot t\right) \cdot \left(y2 \cdot c\right)} \]

   if -3.5999999999999998e135 < c < -3.8999999999999998e102

   1. Initial program 19.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 79.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in x around inf 100.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(x \cdot \left(c \cdot y - \color{blue}{y1 \cdot j}\right)\right)\right) \]

   6. Simplified 100.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(c \cdot y - y1 \cdot j\right)\right)\right)} \]

   if -3.8999999999999998e102 < c < -4.6000000000000002e-8

   1. Initial program 39.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 61.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -4.6000000000000002e-8 < c < 3.60000000000000007e-257

   1. Initial program 30.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in x around inf 50.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   if 3.60000000000000007e-257 < c < 6.6999999999999998e-180

   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 i around -inf 66.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y1 around inf 75.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 75.3%

         \[\leadsto -1 \cdot \left(i \cdot \left(y1 \cdot \left(\color{blue}{z \cdot k} - j \cdot x\right)\right)\right) \]

   6. Simplified 75.3%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y1 \cdot \left(z \cdot k - j \cdot x\right)\right)\right)} \]

   if 6.6999999999999998e-180 < c < 1.19999999999999996e-116

   1. Initial program 55.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 66.7%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y5 around inf 78.2%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) + y0 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 78.2%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 + -1 \cdot \left(i \cdot t\right)\right)}\right) \]

      2. mul-1-neg 78.2%

         \[\leadsto j \cdot \left(y5 \cdot \left(y0 \cdot y3 + \color{blue}{\left(-i \cdot t\right)}\right)\right) \]

      3. unsub-neg 78.2%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 - i \cdot t\right)}\right) \]

      4. *-commutative 78.2%

         \[\leadsto j \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot y0} - i \cdot t\right)\right) \]

      5. *-commutative 78.2%

         \[\leadsto j \cdot \left(y5 \cdot \left(y3 \cdot y0 - \color{blue}{t \cdot i}\right)\right) \]

   6. Simplified 78.2%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y3 \cdot y0 - t \cdot i\right)\right)} \]

   if 1.19999999999999996e-116 < c < 4.3e63

   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 i around -inf 42.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in k around inf 48.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y5\right) - -1 \cdot \left(y1 \cdot z\right)\right)\right)\right)} \]
   5. Step-by-step derivation

      1. distribute-lft-out-- 48.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(k \cdot \color{blue}{\left(-1 \cdot \left(y \cdot y5 - y1 \cdot z\right)\right)}\right)\right) \]

      2. *-commutative 48.2%

         \[\leadsto -1 \cdot \left(i \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y5 - \color{blue}{z \cdot y1}\right)\right)\right)\right) \]

   6. Simplified 48.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\right)\right)} \]

   if 4.3e63 < c

   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 y2 around inf 58.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 60.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 58.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -4.5 \cdot 10^{+231}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;c \leq -3.6 \cdot 10^{+135}:\\ \;\;\;\;\left(x \cdot y0 - t \cdot y4\right) \cdot \left(c \cdot y2\right)\\ \mathbf{elif}\;c \leq -3.9 \cdot 10^{+102}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;c \leq -4.6 \cdot 10^{-8}:\\ \;\;\;\;b \cdot \left(\left(y4 \cdot \left(t \cdot j - y \cdot k\right) - a \cdot \left(z \cdot t - x \cdot y\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;c \leq 3.6 \cdot 10^{-257}:\\ \;\;\;\;x \cdot \left(\left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right) - y \cdot \left(c \cdot i - a \cdot b\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;c \leq 6.7 \cdot 10^{-180}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;c \leq 1.2 \cdot 10^{-116}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;c \leq 4.3 \cdot 10^{+63}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5 - z \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 20: 33.8% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ t_2 := i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{if}\;a \leq -8.6 \cdot 10^{+186}:\\ \;\;\;\;b \cdot \left(\left(y4 \cdot \left(t \cdot j - y \cdot k\right) - a \cdot \left(z \cdot t - x \cdot y\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq -7.5 \cdot 10^{+34}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq -3.7 \cdot 10^{-78}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq -1.26 \cdot 10^{-169}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{-222}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;a \leq 5.9 \cdot 10^{-62}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{+45}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;a \leq 1.2 \cdot 10^{+116} \lor \neg \left(a \leq 7.4 \cdot 10^{+201}\right):\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y2
          (- (+ (* k (- (* y1 y4) (* y0 y5))) (* c (* x y0))) (* c (* t y4)))))
        (t_2 (- (* i (* y5 (- (* y k) (* t j)))) (* (* z y1) (* i k)))))
   (if (<= a -8.6e+186)
     (*
      b
      (+
       (- (* y4 (- (* t j) (* y k))) (* a (- (* z t) (* x y))))
       (* y0 (- (* z k) (* x j)))))
     (if (<= a -7.5e+34)
       (* x (* y2 (- (* c y0) (* a y1))))
       (if (<= a -3.7e-78)
         t_2
         (if (<= a -1.26e-169)
           t_1
           (if (<= a -5.8e-222)
             (* (* z i) (- (* t c) (* k y1)))
             (if (<= a 5.9e-62)
               t_1
               (if (<= a 3.8e+45)
                 t_2
                 (if (or (<= a 1.2e+116) (not (<= a 7.4e+201)))
                   (* (* z y3) (- (* a y1) (* c y0)))
                   (* b (* y (- (* x a) (* k 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 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)));
	double t_2 = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k));
	double tmp;
	if (a <= -8.6e+186) {
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))));
	} else if (a <= -7.5e+34) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (a <= -3.7e-78) {
		tmp = t_2;
	} else if (a <= -1.26e-169) {
		tmp = t_1;
	} else if (a <= -5.8e-222) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (a <= 5.9e-62) {
		tmp = t_1;
	} else if (a <= 3.8e+45) {
		tmp = t_2;
	} else if ((a <= 1.2e+116) || !(a <= 7.4e+201)) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else {
		tmp = b * (y * ((x * a) - (k * 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 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)))
    t_2 = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k))
    if (a <= (-8.6d+186)) then
        tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))))
    else if (a <= (-7.5d+34)) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (a <= (-3.7d-78)) then
        tmp = t_2
    else if (a <= (-1.26d-169)) then
        tmp = t_1
    else if (a <= (-5.8d-222)) then
        tmp = (z * i) * ((t * c) - (k * y1))
    else if (a <= 5.9d-62) then
        tmp = t_1
    else if (a <= 3.8d+45) then
        tmp = t_2
    else if ((a <= 1.2d+116) .or. (.not. (a <= 7.4d+201))) then
        tmp = (z * y3) * ((a * y1) - (c * y0))
    else
        tmp = b * (y * ((x * a) - (k * 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 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)));
	double t_2 = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k));
	double tmp;
	if (a <= -8.6e+186) {
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))));
	} else if (a <= -7.5e+34) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (a <= -3.7e-78) {
		tmp = t_2;
	} else if (a <= -1.26e-169) {
		tmp = t_1;
	} else if (a <= -5.8e-222) {
		tmp = (z * i) * ((t * c) - (k * y1));
	} else if (a <= 5.9e-62) {
		tmp = t_1;
	} else if (a <= 3.8e+45) {
		tmp = t_2;
	} else if ((a <= 1.2e+116) || !(a <= 7.4e+201)) {
		tmp = (z * y3) * ((a * y1) - (c * y0));
	} else {
		tmp = b * (y * ((x * a) - (k * y4)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)))
	t_2 = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k))
	tmp = 0
	if a <= -8.6e+186:
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))))
	elif a <= -7.5e+34:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif a <= -3.7e-78:
		tmp = t_2
	elif a <= -1.26e-169:
		tmp = t_1
	elif a <= -5.8e-222:
		tmp = (z * i) * ((t * c) - (k * y1))
	elif a <= 5.9e-62:
		tmp = t_1
	elif a <= 3.8e+45:
		tmp = t_2
	elif (a <= 1.2e+116) or not (a <= 7.4e+201):
		tmp = (z * y3) * ((a * y1) - (c * y0))
	else:
		tmp = b * (y * ((x * a) - (k * 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(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(c * Float64(x * y0))) - Float64(c * Float64(t * y4))))
	t_2 = Float64(Float64(i * Float64(y5 * Float64(Float64(y * k) - Float64(t * j)))) - Float64(Float64(z * y1) * Float64(i * k)))
	tmp = 0.0
	if (a <= -8.6e+186)
		tmp = Float64(b * Float64(Float64(Float64(y4 * Float64(Float64(t * j) - Float64(y * k))) - Float64(a * Float64(Float64(z * t) - Float64(x * y)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (a <= -7.5e+34)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (a <= -3.7e-78)
		tmp = t_2;
	elseif (a <= -1.26e-169)
		tmp = t_1;
	elseif (a <= -5.8e-222)
		tmp = Float64(Float64(z * i) * Float64(Float64(t * c) - Float64(k * y1)));
	elseif (a <= 5.9e-62)
		tmp = t_1;
	elseif (a <= 3.8e+45)
		tmp = t_2;
	elseif ((a <= 1.2e+116) || !(a <= 7.4e+201))
		tmp = Float64(Float64(z * y3) * Float64(Float64(a * y1) - Float64(c * y0)));
	else
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * 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 = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (c * (x * y0))) - (c * (t * y4)));
	t_2 = (i * (y5 * ((y * k) - (t * j)))) - ((z * y1) * (i * k));
	tmp = 0.0;
	if (a <= -8.6e+186)
		tmp = b * (((y4 * ((t * j) - (y * k))) - (a * ((z * t) - (x * y)))) + (y0 * ((z * k) - (x * j))));
	elseif (a <= -7.5e+34)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (a <= -3.7e-78)
		tmp = t_2;
	elseif (a <= -1.26e-169)
		tmp = t_1;
	elseif (a <= -5.8e-222)
		tmp = (z * i) * ((t * c) - (k * y1));
	elseif (a <= 5.9e-62)
		tmp = t_1;
	elseif (a <= 3.8e+45)
		tmp = t_2;
	elseif ((a <= 1.2e+116) || ~((a <= 7.4e+201)))
		tmp = (z * y3) * ((a * y1) - (c * y0));
	else
		tmp = b * (y * ((x * a) - (k * 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[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(c * N[(x * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(c * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(i * N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(z * y1), $MachinePrecision] * N[(i * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -8.6e+186], N[(b * N[(N[(N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -7.5e+34], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.7e-78], t$95$2, If[LessEqual[a, -1.26e-169], t$95$1, If[LessEqual[a, -5.8e-222], N[(N[(z * i), $MachinePrecision] * N[(N[(t * c), $MachinePrecision] - N[(k * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.9e-62], t$95$1, If[LessEqual[a, 3.8e+45], t$95$2, If[Or[LessEqual[a, 1.2e+116], N[Not[LessEqual[a, 7.4e+201]], $MachinePrecision]], N[(N[(z * y3), $MachinePrecision] * N[(N[(a * y1), $MachinePrecision] - N[(c * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if a < -8.6e186

   1. Initial program 5.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 46.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -8.6e186 < a < -7.49999999999999976e34

   1. Initial program 29.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 37.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in x around inf 59.0%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 59.0%

         \[\leadsto x \cdot \color{blue}{\left(\left(c \cdot y0 - a \cdot y1\right) \cdot y2\right)} \]

   6. Simplified 59.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(c \cdot y0 - a \cdot y1\right) \cdot y2\right)} \]

   if -7.49999999999999976e34 < a < -3.70000000000000006e-78 or 5.9000000000000004e-62 < a < 3.8000000000000002e45

   1. Initial program 40.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 51.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 49.2%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right) + i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   5. Taylor expanded in k around inf 51.8%

      \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right) + \color{blue}{i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)}\right) \]
   6. Step-by-step derivation

      1. associate-*r* 51.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right) + \color{blue}{\left(i \cdot k\right) \cdot \left(y1 \cdot z\right)}\right) \]

      2. *-commutative 51.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right) + \color{blue}{\left(y1 \cdot z\right) \cdot \left(i \cdot k\right)}\right) \]

      3. *-commutative 51.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right) + \color{blue}{\left(z \cdot y1\right)} \cdot \left(i \cdot k\right)\right) \]

   7. Simplified 51.8%

      \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right) + \color{blue}{\left(z \cdot y1\right) \cdot \left(i \cdot k\right)}\right) \]

   if -3.70000000000000006e-78 < a < -1.26e-169 or -5.8000000000000004e-222 < a < 5.9000000000000004e-62

   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 52.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 52.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   if -1.26e-169 < a < -5.8000000000000004e-222

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in i around -inf 60.0%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   4. Taylor expanded in y5 around 0 40.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right) + i \cdot \left(c \cdot \left(x \cdot y - t \cdot z\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   5. Taylor expanded in z around inf 80.8%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(z \cdot \left(-1 \cdot \left(c \cdot t\right) - -1 \cdot \left(k \cdot y1\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 80.8%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot z\right) \cdot \left(-1 \cdot \left(c \cdot t\right) - -1 \cdot \left(k \cdot y1\right)\right)\right)} \]

      2. sub-neg 80.8%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \color{blue}{\left(-1 \cdot \left(c \cdot t\right) + \left(--1 \cdot \left(k \cdot y1\right)\right)\right)}\right) \]

      3. mul-1-neg 80.8%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \left(\color{blue}{\left(-c \cdot t\right)} + \left(--1 \cdot \left(k \cdot y1\right)\right)\right)\right) \]

      4. distribute-lft-neg-out 80.8%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \left(\color{blue}{\left(-c\right) \cdot t} + \left(--1 \cdot \left(k \cdot y1\right)\right)\right)\right) \]

      5. mul-1-neg 80.8%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \left(\left(-c\right) \cdot t + \left(-\color{blue}{\left(-k \cdot y1\right)}\right)\right)\right) \]

      6. remove-double-neg 80.8%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \left(\left(-c\right) \cdot t + \color{blue}{k \cdot y1}\right)\right) \]

      7. +-commutative 80.8%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \color{blue}{\left(k \cdot y1 + \left(-c\right) \cdot t\right)}\right) \]

      8. cancel-sign-sub-inv 80.8%

         \[\leadsto -1 \cdot \left(\left(i \cdot z\right) \cdot \color{blue}{\left(k \cdot y1 - c \cdot t\right)}\right) \]

   7. Simplified 80.8%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot z\right) \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]

   if 3.8000000000000002e45 < a < 1.2e116 or 7.3999999999999997e201 < 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 y3 around -inf 44.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in z around inf 69.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(z \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 67.0%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(y3 \cdot z\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   6. Simplified 67.0%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(y3 \cdot z\right) \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   if 1.2e116 < a < 7.3999999999999997e201

   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 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 y around inf 83.7%

      \[\leadsto b \cdot \color{blue}{\left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 83.7%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 83.7%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 83.7%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

      4. *-commutative 83.7%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x - \color{blue}{y4 \cdot k}\right)\right) \]

   6. Simplified 83.7%

      \[\leadsto b \cdot \color{blue}{\left(y \cdot \left(a \cdot x - y4 \cdot k\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 56.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -8.6 \cdot 10^{+186}:\\ \;\;\;\;b \cdot \left(\left(y4 \cdot \left(t \cdot j - y \cdot k\right) - a \cdot \left(z \cdot t - x \cdot y\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq -7.5 \cdot 10^{+34}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq -3.7 \cdot 10^{-78}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{elif}\;a \leq -1.26 \cdot 10^{-169}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{-222}:\\ \;\;\;\;\left(z \cdot i\right) \cdot \left(t \cdot c - k \cdot y1\right)\\ \mathbf{elif}\;a \leq 5.9 \cdot 10^{-62}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + c \cdot \left(x \cdot y0\right)\right) - c \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 3.8 \cdot 10^{+45}:\\ \;\;\;\;i \cdot \left(y5 \cdot \left(y \cdot k - t \cdot j\right)\right) - \left(z \cdot y1\right) \cdot \left(i \cdot k\right)\\ \mathbf{elif}\;a \leq 1.2 \cdot 10^{+116} \lor \neg \left(a \leq 7.4 \cdot 10^{+201}\right):\\ \;\;\;\;\left(z \cdot y3\right) \cdot \left(a \cdot y1 - c \cdot y0\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 21: 26.9% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ t_2 := c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{if}\;y3 \leq -1.95 \cdot 10^{+206}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -5.6 \cdot 10^{+83}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -9.5 \cdot 10^{-46}:\\ \;\;\;\;c \cdot \left(\left(t \cdot y2\right) \cdot \left(-y4\right)\right)\\ \mathbf{elif}\;y3 \leq -6 \cdot 10^{-120}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y3 \leq -3.8 \cdot 10^{-185}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -2.5 \cdot 10^{-253}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -8.5 \cdot 10^{-304}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 2.1 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.75 \cdot 10^{+141}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t\_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* t (- (* j y4) (* z a))))) (t_2 (* c (* y (* y3 y4)))))
   (if (<= y3 -1.95e+206)
     t_2
     (if (<= y3 -5.6e+83)
       (* a (* y (* y3 (- y5))))
       (if (<= y3 -9.5e-46)
         (* c (* (* t y2) (- y4)))
         (if (<= y3 -6e-120)
           (* a (* b (- (* x y) (* z t))))
           (if (<= y3 -3.8e-185)
             (* t (* y5 (* a y2)))
             (if (<= y3 -2.5e-253)
               t_1
               (if (<= y3 -8.5e-304)
                 (* t (* c (* y2 (- y4))))
                 (if (<= y3 2.1e-304)
                   (* c (* x (* y0 y2)))
                   (if (<= y3 1.75e+141) 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 = b * (t * ((j * y4) - (z * a)));
	double t_2 = c * (y * (y3 * y4));
	double tmp;
	if (y3 <= -1.95e+206) {
		tmp = t_2;
	} else if (y3 <= -5.6e+83) {
		tmp = a * (y * (y3 * -y5));
	} else if (y3 <= -9.5e-46) {
		tmp = c * ((t * y2) * -y4);
	} else if (y3 <= -6e-120) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y3 <= -3.8e-185) {
		tmp = t * (y5 * (a * y2));
	} else if (y3 <= -2.5e-253) {
		tmp = t_1;
	} else if (y3 <= -8.5e-304) {
		tmp = t * (c * (y2 * -y4));
	} else if (y3 <= 2.1e-304) {
		tmp = c * (x * (y0 * y2));
	} else if (y3 <= 1.75e+141) {
		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 = b * (t * ((j * y4) - (z * a)))
    t_2 = c * (y * (y3 * y4))
    if (y3 <= (-1.95d+206)) then
        tmp = t_2
    else if (y3 <= (-5.6d+83)) then
        tmp = a * (y * (y3 * -y5))
    else if (y3 <= (-9.5d-46)) then
        tmp = c * ((t * y2) * -y4)
    else if (y3 <= (-6d-120)) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y3 <= (-3.8d-185)) then
        tmp = t * (y5 * (a * y2))
    else if (y3 <= (-2.5d-253)) then
        tmp = t_1
    else if (y3 <= (-8.5d-304)) then
        tmp = t * (c * (y2 * -y4))
    else if (y3 <= 2.1d-304) then
        tmp = c * (x * (y0 * y2))
    else if (y3 <= 1.75d+141) 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 = b * (t * ((j * y4) - (z * a)));
	double t_2 = c * (y * (y3 * y4));
	double tmp;
	if (y3 <= -1.95e+206) {
		tmp = t_2;
	} else if (y3 <= -5.6e+83) {
		tmp = a * (y * (y3 * -y5));
	} else if (y3 <= -9.5e-46) {
		tmp = c * ((t * y2) * -y4);
	} else if (y3 <= -6e-120) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y3 <= -3.8e-185) {
		tmp = t * (y5 * (a * y2));
	} else if (y3 <= -2.5e-253) {
		tmp = t_1;
	} else if (y3 <= -8.5e-304) {
		tmp = t * (c * (y2 * -y4));
	} else if (y3 <= 2.1e-304) {
		tmp = c * (x * (y0 * y2));
	} else if (y3 <= 1.75e+141) {
		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 = b * (t * ((j * y4) - (z * a)))
	t_2 = c * (y * (y3 * y4))
	tmp = 0
	if y3 <= -1.95e+206:
		tmp = t_2
	elif y3 <= -5.6e+83:
		tmp = a * (y * (y3 * -y5))
	elif y3 <= -9.5e-46:
		tmp = c * ((t * y2) * -y4)
	elif y3 <= -6e-120:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y3 <= -3.8e-185:
		tmp = t * (y5 * (a * y2))
	elif y3 <= -2.5e-253:
		tmp = t_1
	elif y3 <= -8.5e-304:
		tmp = t * (c * (y2 * -y4))
	elif y3 <= 2.1e-304:
		tmp = c * (x * (y0 * y2))
	elif y3 <= 1.75e+141:
		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(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))))
	t_2 = Float64(c * Float64(y * Float64(y3 * y4)))
	tmp = 0.0
	if (y3 <= -1.95e+206)
		tmp = t_2;
	elseif (y3 <= -5.6e+83)
		tmp = Float64(a * Float64(y * Float64(y3 * Float64(-y5))));
	elseif (y3 <= -9.5e-46)
		tmp = Float64(c * Float64(Float64(t * y2) * Float64(-y4)));
	elseif (y3 <= -6e-120)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y3 <= -3.8e-185)
		tmp = Float64(t * Float64(y5 * Float64(a * y2)));
	elseif (y3 <= -2.5e-253)
		tmp = t_1;
	elseif (y3 <= -8.5e-304)
		tmp = Float64(t * Float64(c * Float64(y2 * Float64(-y4))));
	elseif (y3 <= 2.1e-304)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y3 <= 1.75e+141)
		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 = b * (t * ((j * y4) - (z * a)));
	t_2 = c * (y * (y3 * y4));
	tmp = 0.0;
	if (y3 <= -1.95e+206)
		tmp = t_2;
	elseif (y3 <= -5.6e+83)
		tmp = a * (y * (y3 * -y5));
	elseif (y3 <= -9.5e-46)
		tmp = c * ((t * y2) * -y4);
	elseif (y3 <= -6e-120)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y3 <= -3.8e-185)
		tmp = t * (y5 * (a * y2));
	elseif (y3 <= -2.5e-253)
		tmp = t_1;
	elseif (y3 <= -8.5e-304)
		tmp = t * (c * (y2 * -y4));
	elseif (y3 <= 2.1e-304)
		tmp = c * (x * (y0 * y2));
	elseif (y3 <= 1.75e+141)
		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[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -1.95e+206], t$95$2, If[LessEqual[y3, -5.6e+83], N[(a * N[(y * N[(y3 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -9.5e-46], N[(c * N[(N[(t * y2), $MachinePrecision] * (-y4)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -6e-120], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.8e-185], N[(t * N[(y5 * N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -2.5e-253], t$95$1, If[LessEqual[y3, -8.5e-304], N[(t * N[(c * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 2.1e-304], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 1.75e+141], t$95$1, t$95$2]]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y3 < -1.95e206 or 1.75e141 < y3

   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 y3 around -inf 68.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 64.6%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 61.2%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 61.2%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. neg-mul-1 61.2%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right) \]

      3. *-commutative 61.2%

         \[\leadsto -1 \cdot \left(\left(-c\right) \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3\right)}\right)\right) \]

   7. Simplified 61.2%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-c\right) \cdot \left(y \cdot \left(y4 \cdot y3\right)\right)\right)} \]

   if -1.95e206 < y3 < -5.6000000000000001e83

   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 y3 around -inf 53.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 36.8%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around inf 42.4%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 42.4%

         \[\leadsto -1 \cdot \left(a \cdot \left(y \cdot \color{blue}{\left(y5 \cdot y3\right)}\right)\right) \]

   7. Simplified 42.4%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y5 \cdot y3\right)\right)\right)} \]

   if -5.6000000000000001e83 < y3 < -9.49999999999999993e-46

   1. Initial program 20.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 42.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 29.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in t around inf 38.9%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 38.9%

         \[\leadsto \color{blue}{-c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 38.9%

         \[\leadsto \color{blue}{c \cdot \left(-t \cdot \left(y2 \cdot y4\right)\right)} \]

      3. *-commutative 38.9%

         \[\leadsto c \cdot \left(-\color{blue}{\left(y2 \cdot y4\right) \cdot t}\right) \]

      4. *-commutative 38.9%

         \[\leadsto c \cdot \left(-\color{blue}{\left(y4 \cdot y2\right)} \cdot t\right) \]

      5. associate-*l* 42.6%

         \[\leadsto c \cdot \left(-\color{blue}{y4 \cdot \left(y2 \cdot t\right)}\right) \]

   7. Simplified 42.6%

      \[\leadsto \color{blue}{c \cdot \left(-y4 \cdot \left(y2 \cdot t\right)\right)} \]

   if -9.49999999999999993e-46 < y3 < -6.00000000000000022e-120

   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 24.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 47.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 47.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right)\right) \]

      2. *-commutative 47.8%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - z \cdot t\right)\right) \]

   6. Simplified 47.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - z \cdot t\right)\right)} \]

   if -6.00000000000000022e-120 < y3 < -3.7999999999999999e-185

   1. Initial program 50.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 50.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 41.4%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 41.4%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 41.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around inf 41.5%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 51.1%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y2\right) \cdot y5\right)} \]

   9. Simplified 51.1%

      \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y2\right) \cdot y5\right)} \]

   if -3.7999999999999999e-185 < y3 < -2.49999999999999986e-253 or 2.10000000000000008e-304 < y3 < 1.75e141

   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 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 t around inf 35.8%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 35.8%

         \[\leadsto b \cdot \color{blue}{\left(\left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right) \cdot t\right)} \]

      2. +-commutative 35.8%

         \[\leadsto b \cdot \left(\color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)} \cdot t\right) \]

      3. mul-1-neg 35.8%

         \[\leadsto b \cdot \left(\left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right) \cdot t\right) \]

      4. unsub-neg 35.8%

         \[\leadsto b \cdot \left(\color{blue}{\left(j \cdot y4 - a \cdot z\right)} \cdot t\right) \]

      5. *-commutative 35.8%

         \[\leadsto b \cdot \left(\left(\color{blue}{y4 \cdot j} - a \cdot z\right) \cdot t\right) \]

      6. *-commutative 35.8%

         \[\leadsto b \cdot \left(\left(y4 \cdot j - \color{blue}{z \cdot a}\right) \cdot t\right) \]

   6. Simplified 35.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(y4 \cdot j - z \cdot a\right) \cdot t\right)} \]

   if -2.49999999999999986e-253 < y3 < -8.5e-304

   1. Initial program 43.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 28.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 43.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 43.2%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 43.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around 0 43.5%

      \[\leadsto t \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot y4\right)\right)} \cdot y2\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 43.5%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c \cdot y4\right)} \cdot y2\right) \]

      2. distribute-rgt-neg-in 43.5%

         \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   9. Simplified 43.5%

      \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   10. Taylor expanded in c around 0 43.7%

       \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 43.7%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   12. Simplified 43.7%

       \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   if -8.5e-304 < y3 < 2.10000000000000008e-304

   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 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 a around 0 25.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in x around inf 50.6%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 50.6%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y2 \cdot y0\right)}\right) \]

   7. Simplified 50.6%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y2 \cdot y0\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 44.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -1.95 \cdot 10^{+206}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -5.6 \cdot 10^{+83}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -9.5 \cdot 10^{-46}:\\ \;\;\;\;c \cdot \left(\left(t \cdot y2\right) \cdot \left(-y4\right)\right)\\ \mathbf{elif}\;y3 \leq -6 \cdot 10^{-120}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y3 \leq -3.8 \cdot 10^{-185}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq -2.5 \cdot 10^{-253}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;y3 \leq -8.5 \cdot 10^{-304}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y3 \leq 2.1 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 1.75 \cdot 10^{+141}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 22: 27.7% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ t_2 := c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{if}\;y3 \leq -3.6 \cdot 10^{+206}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y3 \leq -1.02 \cdot 10^{+83}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -3.2 \cdot 10^{+24}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq -0.095:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -5.6 \cdot 10^{-74}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 4.5 \cdot 10^{-292}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 2.2 \cdot 10^{-11}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;y3 \leq 9 \cdot 10^{+100}:\\ \;\;\;\;t\_2\\ \mathbf{elif}\;y3 \leq 8 \cdot 10^{+156}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y (* y3 y4)))) (t_2 (* c (* y2 (- (* x y0) (* t y4))))))
   (if (<= y3 -3.6e+206)
     t_1
     (if (<= y3 -1.02e+83)
       (* a (* y (* y3 (- y5))))
       (if (<= y3 -3.2e+24)
         t_2
         (if (<= y3 -0.095)
           (* b (* k (* y (- y4))))
           (if (<= y3 -5.6e-74)
             (* t (* y5 (* a y2)))
             (if (<= y3 4.5e-292)
               t_2
               (if (<= y3 2.2e-11)
                 (* b (* t (- (* j y4) (* z a))))
                 (if (<= y3 9e+100)
                   t_2
                   (if (<= y3 8e+156) (* k (* y1 (* y2 y4))) t_1)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y * (y3 * y4));
	double t_2 = c * (y2 * ((x * y0) - (t * y4)));
	double tmp;
	if (y3 <= -3.6e+206) {
		tmp = t_1;
	} else if (y3 <= -1.02e+83) {
		tmp = a * (y * (y3 * -y5));
	} else if (y3 <= -3.2e+24) {
		tmp = t_2;
	} else if (y3 <= -0.095) {
		tmp = b * (k * (y * -y4));
	} else if (y3 <= -5.6e-74) {
		tmp = t * (y5 * (a * y2));
	} else if (y3 <= 4.5e-292) {
		tmp = t_2;
	} else if (y3 <= 2.2e-11) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (y3 <= 9e+100) {
		tmp = t_2;
	} else if (y3 <= 8e+156) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = c * (y * (y3 * y4))
    t_2 = c * (y2 * ((x * y0) - (t * y4)))
    if (y3 <= (-3.6d+206)) then
        tmp = t_1
    else if (y3 <= (-1.02d+83)) then
        tmp = a * (y * (y3 * -y5))
    else if (y3 <= (-3.2d+24)) then
        tmp = t_2
    else if (y3 <= (-0.095d0)) then
        tmp = b * (k * (y * -y4))
    else if (y3 <= (-5.6d-74)) then
        tmp = t * (y5 * (a * y2))
    else if (y3 <= 4.5d-292) then
        tmp = t_2
    else if (y3 <= 2.2d-11) then
        tmp = b * (t * ((j * y4) - (z * a)))
    else if (y3 <= 9d+100) then
        tmp = t_2
    else if (y3 <= 8d+156) then
        tmp = k * (y1 * (y2 * y4))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y * (y3 * y4));
	double t_2 = c * (y2 * ((x * y0) - (t * y4)));
	double tmp;
	if (y3 <= -3.6e+206) {
		tmp = t_1;
	} else if (y3 <= -1.02e+83) {
		tmp = a * (y * (y3 * -y5));
	} else if (y3 <= -3.2e+24) {
		tmp = t_2;
	} else if (y3 <= -0.095) {
		tmp = b * (k * (y * -y4));
	} else if (y3 <= -5.6e-74) {
		tmp = t * (y5 * (a * y2));
	} else if (y3 <= 4.5e-292) {
		tmp = t_2;
	} else if (y3 <= 2.2e-11) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (y3 <= 9e+100) {
		tmp = t_2;
	} else if (y3 <= 8e+156) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y * (y3 * y4))
	t_2 = c * (y2 * ((x * y0) - (t * y4)))
	tmp = 0
	if y3 <= -3.6e+206:
		tmp = t_1
	elif y3 <= -1.02e+83:
		tmp = a * (y * (y3 * -y5))
	elif y3 <= -3.2e+24:
		tmp = t_2
	elif y3 <= -0.095:
		tmp = b * (k * (y * -y4))
	elif y3 <= -5.6e-74:
		tmp = t * (y5 * (a * y2))
	elif y3 <= 4.5e-292:
		tmp = t_2
	elif y3 <= 2.2e-11:
		tmp = b * (t * ((j * y4) - (z * a)))
	elif y3 <= 9e+100:
		tmp = t_2
	elif y3 <= 8e+156:
		tmp = k * (y1 * (y2 * y4))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y * Float64(y3 * y4)))
	t_2 = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))))
	tmp = 0.0
	if (y3 <= -3.6e+206)
		tmp = t_1;
	elseif (y3 <= -1.02e+83)
		tmp = Float64(a * Float64(y * Float64(y3 * Float64(-y5))));
	elseif (y3 <= -3.2e+24)
		tmp = t_2;
	elseif (y3 <= -0.095)
		tmp = Float64(b * Float64(k * Float64(y * Float64(-y4))));
	elseif (y3 <= -5.6e-74)
		tmp = Float64(t * Float64(y5 * Float64(a * y2)));
	elseif (y3 <= 4.5e-292)
		tmp = t_2;
	elseif (y3 <= 2.2e-11)
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	elseif (y3 <= 9e+100)
		tmp = t_2;
	elseif (y3 <= 8e+156)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y * (y3 * y4));
	t_2 = c * (y2 * ((x * y0) - (t * y4)));
	tmp = 0.0;
	if (y3 <= -3.6e+206)
		tmp = t_1;
	elseif (y3 <= -1.02e+83)
		tmp = a * (y * (y3 * -y5));
	elseif (y3 <= -3.2e+24)
		tmp = t_2;
	elseif (y3 <= -0.095)
		tmp = b * (k * (y * -y4));
	elseif (y3 <= -5.6e-74)
		tmp = t * (y5 * (a * y2));
	elseif (y3 <= 4.5e-292)
		tmp = t_2;
	elseif (y3 <= 2.2e-11)
		tmp = b * (t * ((j * y4) - (z * a)));
	elseif (y3 <= 9e+100)
		tmp = t_2;
	elseif (y3 <= 8e+156)
		tmp = k * (y1 * (y2 * y4));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y3, -3.6e+206], t$95$1, If[LessEqual[y3, -1.02e+83], N[(a * N[(y * N[(y3 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -3.2e+24], t$95$2, If[LessEqual[y3, -0.095], N[(b * N[(k * N[(y * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, -5.6e-74], N[(t * N[(y5 * N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 4.5e-292], t$95$2, If[LessEqual[y3, 2.2e-11], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y3, 9e+100], t$95$2, If[LessEqual[y3, 8e+156], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y3 < -3.60000000000000028e206 or 7.9999999999999999e156 < y3

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 71.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 65.8%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 62.0%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 62.0%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. neg-mul-1 62.0%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right) \]

      3. *-commutative 62.0%

         \[\leadsto -1 \cdot \left(\left(-c\right) \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3\right)}\right)\right) \]

   7. Simplified 62.0%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-c\right) \cdot \left(y \cdot \left(y4 \cdot y3\right)\right)\right)} \]

   if -3.60000000000000028e206 < y3 < -1.0200000000000001e83

   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 y3 around -inf 53.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 36.8%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around inf 42.4%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 42.4%

         \[\leadsto -1 \cdot \left(a \cdot \left(y \cdot \color{blue}{\left(y5 \cdot y3\right)}\right)\right) \]

   7. Simplified 42.4%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y5 \cdot y3\right)\right)\right)} \]

   if -1.0200000000000001e83 < y3 < -3.1999999999999997e24 or -5.59999999999999976e-74 < y3 < 4.49999999999999956e-292 or 2.2000000000000002e-11 < y3 < 9.00000000000000073e100

   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 y2 around inf 46.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 38.2%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 38.2%

         \[\leadsto c \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot x} - t \cdot y4\right)\right) \]

      2. *-commutative 38.2%

         \[\leadsto c \cdot \left(y2 \cdot \left(y0 \cdot x - \color{blue}{y4 \cdot t}\right)\right) \]

   6. Simplified 38.2%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(y0 \cdot x - y4 \cdot t\right)\right)} \]

   if -3.1999999999999997e24 < y3 < -0.095000000000000001

   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 40.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 60.6%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 60.6%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 60.6%

         \[\leadsto \color{blue}{\left(y4 \cdot b\right)} \cdot \left(j \cdot t - k \cdot y\right) \]

      3. *-commutative 60.6%

         \[\leadsto \left(y4 \cdot b\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 60.6%

      \[\leadsto \color{blue}{\left(y4 \cdot b\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   7. Taylor expanded in j around 0 60.6%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(k \cdot \left(y \cdot y4\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 60.6%

         \[\leadsto \color{blue}{-b \cdot \left(k \cdot \left(y \cdot y4\right)\right)} \]

      2. *-commutative 60.6%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y \cdot y4\right)\right) \cdot b} \]

      3. distribute-rgt-neg-in 60.6%

         \[\leadsto \color{blue}{\left(k \cdot \left(y \cdot y4\right)\right) \cdot \left(-b\right)} \]

      4. *-commutative 60.6%

         \[\leadsto \left(k \cdot \color{blue}{\left(y4 \cdot y\right)}\right) \cdot \left(-b\right) \]

   9. Simplified 60.6%

      \[\leadsto \color{blue}{\left(k \cdot \left(y4 \cdot y\right)\right) \cdot \left(-b\right)} \]

   if -0.095000000000000001 < y3 < -5.59999999999999976e-74

   1. Initial program 35.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 43.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 37.4%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 37.4%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 37.4%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around inf 30.4%

      \[\leadsto t \cdot \color{blue}{\left(a \cdot \left(y2 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. associate-*r* 37.3%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y2\right) \cdot y5\right)} \]

   9. Simplified 37.3%

      \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y2\right) \cdot y5\right)} \]

   if 4.49999999999999956e-292 < y3 < 2.2000000000000002e-11

   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 b around inf 44.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in t around inf 40.5%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 40.5%

         \[\leadsto b \cdot \color{blue}{\left(\left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right) \cdot t\right)} \]

      2. +-commutative 40.5%

         \[\leadsto b \cdot \left(\color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)} \cdot t\right) \]

      3. mul-1-neg 40.5%

         \[\leadsto b \cdot \left(\left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right) \cdot t\right) \]

      4. unsub-neg 40.5%

         \[\leadsto b \cdot \left(\color{blue}{\left(j \cdot y4 - a \cdot z\right)} \cdot t\right) \]

      5. *-commutative 40.5%

         \[\leadsto b \cdot \left(\left(\color{blue}{y4 \cdot j} - a \cdot z\right) \cdot t\right) \]

      6. *-commutative 40.5%

         \[\leadsto b \cdot \left(\left(y4 \cdot j - \color{blue}{z \cdot a}\right) \cdot t\right) \]

   6. Simplified 40.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(y4 \cdot j - z \cdot a\right) \cdot t\right)} \]

   if 9.00000000000000073e100 < y3 < 7.9999999999999999e156

   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 58.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 58.9%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 58.9%

         \[\leadsto \color{blue}{\left(y2 \cdot y4\right) \cdot \left(k \cdot y1 - c \cdot t\right)} \]

      2. *-commutative 58.9%

         \[\leadsto \left(y2 \cdot y4\right) \cdot \left(\color{blue}{y1 \cdot k} - c \cdot t\right) \]

   6. Simplified 58.9%

      \[\leadsto \color{blue}{\left(y2 \cdot y4\right) \cdot \left(y1 \cdot k - c \cdot t\right)} \]

   7. Taylor expanded in y1 around inf 59.3%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 45.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y3 \leq -3.6 \cdot 10^{+206}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -1.02 \cdot 10^{+83}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -3.2 \cdot 10^{+24}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq -0.095:\\ \;\;\;\;b \cdot \left(k \cdot \left(y \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y3 \leq -5.6 \cdot 10^{-74}:\\ \;\;\;\;t \cdot \left(y5 \cdot \left(a \cdot y2\right)\right)\\ \mathbf{elif}\;y3 \leq 4.5 \cdot 10^{-292}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 2.2 \cdot 10^{-11}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;y3 \leq 9 \cdot 10^{+100}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y3 \leq 8 \cdot 10^{+156}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 23: 23.1% accurate, 2.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := \left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{if}\;y \leq -2.8 \cdot 10^{+276}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1.95 \cdot 10^{+149}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1 \cdot 10^{-21}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{-293}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{-39}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{+36}:\\ \;\;\;\;\left(-y\right) \cdot \left(y5 \cdot \left(a \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 9 \cdot 10^{+142}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t\_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* (* y3 y4) (* y c))))
   (if (<= y -2.8e+276)
     (* c (* y (* y3 y4)))
     (if (<= y -1.95e+149)
       (* b (* y (- (* x a) (* k y4))))
       (if (<= y -1e-21)
         t_1
         (if (<= y 2.2e-293)
           (* c (* x (* y0 y2)))
           (if (<= y 1.75e-39)
             (* t (* c (* y2 (- y4))))
             (if (<= y 2.3e+36)
               (* (- y) (* y5 (* a y3)))
               (if (<= y 9e+142) (* a (* b (- (* x y) (* z 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 = (y3 * y4) * (y * c);
	double tmp;
	if (y <= -2.8e+276) {
		tmp = c * (y * (y3 * y4));
	} else if (y <= -1.95e+149) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y <= -1e-21) {
		tmp = t_1;
	} else if (y <= 2.2e-293) {
		tmp = c * (x * (y0 * y2));
	} else if (y <= 1.75e-39) {
		tmp = t * (c * (y2 * -y4));
	} else if (y <= 2.3e+36) {
		tmp = -y * (y5 * (a * y3));
	} else if (y <= 9e+142) {
		tmp = a * (b * ((x * y) - (z * t)));
	} 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 = (y3 * y4) * (y * c)
    if (y <= (-2.8d+276)) then
        tmp = c * (y * (y3 * y4))
    else if (y <= (-1.95d+149)) then
        tmp = b * (y * ((x * a) - (k * y4)))
    else if (y <= (-1d-21)) then
        tmp = t_1
    else if (y <= 2.2d-293) then
        tmp = c * (x * (y0 * y2))
    else if (y <= 1.75d-39) then
        tmp = t * (c * (y2 * -y4))
    else if (y <= 2.3d+36) then
        tmp = -y * (y5 * (a * y3))
    else if (y <= 9d+142) then
        tmp = a * (b * ((x * y) - (z * t)))
    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 = (y3 * y4) * (y * c);
	double tmp;
	if (y <= -2.8e+276) {
		tmp = c * (y * (y3 * y4));
	} else if (y <= -1.95e+149) {
		tmp = b * (y * ((x * a) - (k * y4)));
	} else if (y <= -1e-21) {
		tmp = t_1;
	} else if (y <= 2.2e-293) {
		tmp = c * (x * (y0 * y2));
	} else if (y <= 1.75e-39) {
		tmp = t * (c * (y2 * -y4));
	} else if (y <= 2.3e+36) {
		tmp = -y * (y5 * (a * y3));
	} else if (y <= 9e+142) {
		tmp = a * (b * ((x * y) - (z * t)));
	} 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 = (y3 * y4) * (y * c)
	tmp = 0
	if y <= -2.8e+276:
		tmp = c * (y * (y3 * y4))
	elif y <= -1.95e+149:
		tmp = b * (y * ((x * a) - (k * y4)))
	elif y <= -1e-21:
		tmp = t_1
	elif y <= 2.2e-293:
		tmp = c * (x * (y0 * y2))
	elif y <= 1.75e-39:
		tmp = t * (c * (y2 * -y4))
	elif y <= 2.3e+36:
		tmp = -y * (y5 * (a * y3))
	elif y <= 9e+142:
		tmp = a * (b * ((x * y) - (z * t)))
	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(Float64(y3 * y4) * Float64(y * c))
	tmp = 0.0
	if (y <= -2.8e+276)
		tmp = Float64(c * Float64(y * Float64(y3 * y4)));
	elseif (y <= -1.95e+149)
		tmp = Float64(b * Float64(y * Float64(Float64(x * a) - Float64(k * y4))));
	elseif (y <= -1e-21)
		tmp = t_1;
	elseif (y <= 2.2e-293)
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	elseif (y <= 1.75e-39)
		tmp = Float64(t * Float64(c * Float64(y2 * Float64(-y4))));
	elseif (y <= 2.3e+36)
		tmp = Float64(Float64(-y) * Float64(y5 * Float64(a * y3)));
	elseif (y <= 9e+142)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	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 = (y3 * y4) * (y * c);
	tmp = 0.0;
	if (y <= -2.8e+276)
		tmp = c * (y * (y3 * y4));
	elseif (y <= -1.95e+149)
		tmp = b * (y * ((x * a) - (k * y4)));
	elseif (y <= -1e-21)
		tmp = t_1;
	elseif (y <= 2.2e-293)
		tmp = c * (x * (y0 * y2));
	elseif (y <= 1.75e-39)
		tmp = t * (c * (y2 * -y4));
	elseif (y <= 2.3e+36)
		tmp = -y * (y5 * (a * y3));
	elseif (y <= 9e+142)
		tmp = a * (b * ((x * y) - (z * t)));
	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[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -2.8e+276], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.95e+149], N[(b * N[(y * N[(N[(x * a), $MachinePrecision] - N[(k * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1e-21], t$95$1, If[LessEqual[y, 2.2e-293], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.75e-39], N[(t * N[(c * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.3e+36], N[((-y) * N[(y5 * N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 9e+142], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -2.79999999999999995e276

   1. Initial program 0.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 56.2%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 67.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 77.8%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 77.8%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. neg-mul-1 77.8%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right) \]

      3. *-commutative 77.8%

         \[\leadsto -1 \cdot \left(\left(-c\right) \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3\right)}\right)\right) \]

   7. Simplified 77.8%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-c\right) \cdot \left(y \cdot \left(y4 \cdot y3\right)\right)\right)} \]

   if -2.79999999999999995e276 < y < -1.95e149

   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 50.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y around inf 54.8%

      \[\leadsto b \cdot \color{blue}{\left(y \cdot \left(-1 \cdot \left(k \cdot y4\right) + a \cdot x\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 54.8%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x + -1 \cdot \left(k \cdot y4\right)\right)}\right) \]

      2. mul-1-neg 54.8%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x + \color{blue}{\left(-k \cdot y4\right)}\right)\right) \]

      3. unsub-neg 54.8%

         \[\leadsto b \cdot \left(y \cdot \color{blue}{\left(a \cdot x - k \cdot y4\right)}\right) \]

      4. *-commutative 54.8%

         \[\leadsto b \cdot \left(y \cdot \left(a \cdot x - \color{blue}{y4 \cdot k}\right)\right) \]

   6. Simplified 54.8%

      \[\leadsto b \cdot \color{blue}{\left(y \cdot \left(a \cdot x - y4 \cdot k\right)\right)} \]

   if -1.95e149 < y < -9.99999999999999908e-22 or 8.9999999999999998e142 < y

   1. Initial program 26.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 44.4%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 42.3%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 37.3%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 37.3%

         \[\leadsto -1 \cdot \color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. associate-*r* 41.1%

         \[\leadsto -1 \cdot \left(-\color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4\right)}\right) \]

      3. distribute-lft-neg-in 41.1%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-c \cdot y\right) \cdot \left(y3 \cdot y4\right)\right)} \]

      4. distribute-rgt-neg-in 41.1%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(c \cdot \left(-y\right)\right)} \cdot \left(y3 \cdot y4\right)\right) \]

      5. *-commutative 41.1%

         \[\leadsto -1 \cdot \left(\left(c \cdot \left(-y\right)\right) \cdot \color{blue}{\left(y4 \cdot y3\right)}\right) \]

   7. Simplified 41.1%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(c \cdot \left(-y\right)\right) \cdot \left(y4 \cdot y3\right)\right)} \]

   if -9.99999999999999908e-22 < y < 2.2e-293

   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 44.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 40.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in x around inf 31.7%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 31.7%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y2 \cdot y0\right)}\right) \]

   7. Simplified 31.7%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y2 \cdot y0\right)\right)} \]

   if 2.2e-293 < y < 1.75e-39

   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 y2 around inf 49.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 32.7%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 32.7%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 32.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around 0 30.6%

      \[\leadsto t \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot y4\right)\right)} \cdot y2\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 30.6%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c \cdot y4\right)} \cdot y2\right) \]

      2. distribute-rgt-neg-in 30.6%

         \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   9. Simplified 30.6%

      \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   10. Taylor expanded in c around 0 35.3%

       \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 35.3%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   12. Simplified 35.3%

       \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   if 1.75e-39 < y < 2.29999999999999996e36

   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 y3 around -inf 54.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 47.2%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around inf 41.0%

      \[\leadsto -1 \cdot \left(y \cdot \color{blue}{\left(a \cdot \left(y3 \cdot y5\right)\right)}\right) \]
   6. Step-by-step derivation

      1. associate-*r* 47.3%

         \[\leadsto -1 \cdot \left(y \cdot \color{blue}{\left(\left(a \cdot y3\right) \cdot y5\right)}\right) \]

   7. Simplified 47.3%

      \[\leadsto -1 \cdot \left(y \cdot \color{blue}{\left(\left(a \cdot y3\right) \cdot y5\right)}\right) \]

   if 2.29999999999999996e36 < y < 8.9999999999999998e142

   1. Initial program 28.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 29.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 36.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 36.8%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right)\right) \]

      2. *-commutative 36.8%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - z \cdot t\right)\right) \]

   6. Simplified 36.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - z \cdot t\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 40.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.8 \cdot 10^{+276}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1.95 \cdot 10^{+149}:\\ \;\;\;\;b \cdot \left(y \cdot \left(x \cdot a - k \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1 \cdot 10^{-21}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y \leq 2.2 \cdot 10^{-293}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{-39}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{elif}\;y \leq 2.3 \cdot 10^{+36}:\\ \;\;\;\;\left(-y\right) \cdot \left(y5 \cdot \left(a \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 9 \cdot 10^{+142}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 24: 22.9% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{if}\;y2 \leq -4.6 \cdot 10^{+79}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -4.8 \cdot 10^{-172}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 1.06 \cdot 10^{-274}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 7.4 \cdot 10^{-80}:\\ \;\;\;\;a \cdot \left(\left(t \cdot b\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 4.9 \cdot 10^{+100}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 8.8 \cdot 10^{+207}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{+292}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y (* y3 (* c y4)))))
   (if (<= y2 -4.6e+79)
     (* k (* y4 (* y1 y2)))
     (if (<= y2 -4.8e-172)
       (* a (* y (* y3 (- y5))))
       (if (<= y2 1.06e-274)
         t_1
         (if (<= y2 7.4e-80)
           (* a (* (* t b) (- z)))
           (if (<= y2 4.9e+100)
             t_1
             (if (<= y2 8.8e+207)
               (* (- k) (* y0 (* y2 y5)))
               (if (<= y2 6.2e+292)
                 (* t (* c (* y2 (- y4))))
                 (* c (* x (* y0 y2))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (y3 * (c * y4));
	double tmp;
	if (y2 <= -4.6e+79) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= -4.8e-172) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= 1.06e-274) {
		tmp = t_1;
	} else if (y2 <= 7.4e-80) {
		tmp = a * ((t * b) * -z);
	} else if (y2 <= 4.9e+100) {
		tmp = t_1;
	} else if (y2 <= 8.8e+207) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y2 <= 6.2e+292) {
		tmp = t * (c * (y2 * -y4));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y * (y3 * (c * y4))
    if (y2 <= (-4.6d+79)) then
        tmp = k * (y4 * (y1 * y2))
    else if (y2 <= (-4.8d-172)) then
        tmp = a * (y * (y3 * -y5))
    else if (y2 <= 1.06d-274) then
        tmp = t_1
    else if (y2 <= 7.4d-80) then
        tmp = a * ((t * b) * -z)
    else if (y2 <= 4.9d+100) then
        tmp = t_1
    else if (y2 <= 8.8d+207) then
        tmp = -k * (y0 * (y2 * y5))
    else if (y2 <= 6.2d+292) then
        tmp = t * (c * (y2 * -y4))
    else
        tmp = c * (x * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y * (y3 * (c * y4));
	double tmp;
	if (y2 <= -4.6e+79) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= -4.8e-172) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= 1.06e-274) {
		tmp = t_1;
	} else if (y2 <= 7.4e-80) {
		tmp = a * ((t * b) * -z);
	} else if (y2 <= 4.9e+100) {
		tmp = t_1;
	} else if (y2 <= 8.8e+207) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y2 <= 6.2e+292) {
		tmp = t * (c * (y2 * -y4));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y * (y3 * (c * y4))
	tmp = 0
	if y2 <= -4.6e+79:
		tmp = k * (y4 * (y1 * y2))
	elif y2 <= -4.8e-172:
		tmp = a * (y * (y3 * -y5))
	elif y2 <= 1.06e-274:
		tmp = t_1
	elif y2 <= 7.4e-80:
		tmp = a * ((t * b) * -z)
	elif y2 <= 4.9e+100:
		tmp = t_1
	elif y2 <= 8.8e+207:
		tmp = -k * (y0 * (y2 * y5))
	elif y2 <= 6.2e+292:
		tmp = t * (c * (y2 * -y4))
	else:
		tmp = c * (x * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y * Float64(y3 * Float64(c * y4)))
	tmp = 0.0
	if (y2 <= -4.6e+79)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (y2 <= -4.8e-172)
		tmp = Float64(a * Float64(y * Float64(y3 * Float64(-y5))));
	elseif (y2 <= 1.06e-274)
		tmp = t_1;
	elseif (y2 <= 7.4e-80)
		tmp = Float64(a * Float64(Float64(t * b) * Float64(-z)));
	elseif (y2 <= 4.9e+100)
		tmp = t_1;
	elseif (y2 <= 8.8e+207)
		tmp = Float64(Float64(-k) * Float64(y0 * Float64(y2 * y5)));
	elseif (y2 <= 6.2e+292)
		tmp = Float64(t * Float64(c * Float64(y2 * Float64(-y4))));
	else
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y * (y3 * (c * y4));
	tmp = 0.0;
	if (y2 <= -4.6e+79)
		tmp = k * (y4 * (y1 * y2));
	elseif (y2 <= -4.8e-172)
		tmp = a * (y * (y3 * -y5));
	elseif (y2 <= 1.06e-274)
		tmp = t_1;
	elseif (y2 <= 7.4e-80)
		tmp = a * ((t * b) * -z);
	elseif (y2 <= 4.9e+100)
		tmp = t_1;
	elseif (y2 <= 8.8e+207)
		tmp = -k * (y0 * (y2 * y5));
	elseif (y2 <= 6.2e+292)
		tmp = t * (c * (y2 * -y4));
	else
		tmp = c * (x * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y * N[(y3 * N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -4.6e+79], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -4.8e-172], N[(a * N[(y * N[(y3 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.06e-274], t$95$1, If[LessEqual[y2, 7.4e-80], N[(a * N[(N[(t * b), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4.9e+100], t$95$1, If[LessEqual[y2, 8.8e+207], N[((-k) * N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.2e+292], N[(t * N[(c * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y2 < -4.6000000000000001e79

   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 y2 around inf 64.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 57.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y1 around inf 47.2%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.7%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 50.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if -4.6000000000000001e79 < y2 < -4.8000000000000002e-172

   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 y3 around -inf 44.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 33.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around inf 27.1%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 27.1%

         \[\leadsto -1 \cdot \left(a \cdot \left(y \cdot \color{blue}{\left(y5 \cdot y3\right)}\right)\right) \]

   7. Simplified 27.1%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y5 \cdot y3\right)\right)\right)} \]

   if -4.8000000000000002e-172 < y2 < 1.05999999999999997e-274 or 7.40000000000000065e-80 < y2 < 4.89999999999999967e100

   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 y3 around -inf 47.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 42.9%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 36.4%

      \[\leadsto -1 \cdot \left(y \cdot \left(y3 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot y4\right)\right)}\right)\right) \]
   6. Step-by-step derivation

      1. neg-mul-1 16.7%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c \cdot y4\right)} \cdot y2\right) \]

      2. distribute-rgt-neg-in 16.7%

         \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   7. Simplified 36.4%

      \[\leadsto -1 \cdot \left(y \cdot \left(y3 \cdot \color{blue}{\left(c \cdot \left(-y4\right)\right)}\right)\right) \]

   if 1.05999999999999997e-274 < y2 < 7.40000000000000065e-80

   1. Initial program 27.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 38.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 32.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 32.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right)\right) \]

      2. *-commutative 32.2%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - z \cdot t\right)\right) \]

   6. Simplified 32.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - z \cdot t\right)\right)} \]

   7. Taylor expanded in y around 0 22.5%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 22.5%

         \[\leadsto \color{blue}{-a \cdot \left(b \cdot \left(t \cdot z\right)\right)} \]

      2. *-commutative 22.5%

         \[\leadsto -\color{blue}{\left(b \cdot \left(t \cdot z\right)\right) \cdot a} \]

      3. distribute-rgt-neg-in 22.5%

         \[\leadsto \color{blue}{\left(b \cdot \left(t \cdot z\right)\right) \cdot \left(-a\right)} \]

      4. associate-*r* 25.9%

         \[\leadsto \color{blue}{\left(\left(b \cdot t\right) \cdot z\right)} \cdot \left(-a\right) \]

      5. *-commutative 25.9%

         \[\leadsto \color{blue}{\left(z \cdot \left(b \cdot t\right)\right)} \cdot \left(-a\right) \]

      6. *-commutative 25.9%

         \[\leadsto \left(z \cdot \color{blue}{\left(t \cdot b\right)}\right) \cdot \left(-a\right) \]

   9. Simplified 25.9%

      \[\leadsto \color{blue}{\left(z \cdot \left(t \cdot b\right)\right) \cdot \left(-a\right)} \]

   if 4.89999999999999967e100 < y2 < 8.80000000000000034e207

   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 49.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 45.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y5 around inf 38.0%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 38.0%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. neg-mul-1 38.0%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right) \]

   7. Simplified 38.0%

      \[\leadsto \color{blue}{\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

   if 8.80000000000000034e207 < y2 < 6.20000000000000035e292

   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 62.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 77.7%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 77.7%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 77.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around 0 55.8%

      \[\leadsto t \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot y4\right)\right)} \cdot y2\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 55.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c \cdot y4\right)} \cdot y2\right) \]

      2. distribute-rgt-neg-in 55.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   9. Simplified 55.8%

      \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   10. Taylor expanded in c around 0 70.2%

       \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 70.2%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   12. Simplified 70.2%

       \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   if 6.20000000000000035e292 < y2

   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 a around 0 100.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in x around inf 100.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y2 \cdot y0\right)}\right) \]

   7. Simplified 100.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y2 \cdot y0\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 38.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -4.6 \cdot 10^{+79}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -4.8 \cdot 10^{-172}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 1.06 \cdot 10^{-274}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 7.4 \cdot 10^{-80}:\\ \;\;\;\;a \cdot \left(\left(t \cdot b\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 4.9 \cdot 10^{+100}:\\ \;\;\;\;y \cdot \left(y3 \cdot \left(c \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 8.8 \cdot 10^{+207}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{+292}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 25: 22.9% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{if}\;y2 \leq -3.7 \cdot 10^{+80}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -6.5 \cdot 10^{-174}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 4.2 \cdot 10^{-274}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.35 \cdot 10^{-79}:\\ \;\;\;\;a \cdot \left(\left(t \cdot b\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{+101}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{+209}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.9 \cdot 10^{+302}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y (* y3 y4)))))
   (if (<= y2 -3.7e+80)
     (* k (* y4 (* y1 y2)))
     (if (<= y2 -6.5e-174)
       (* a (* y (* y3 (- y5))))
       (if (<= y2 4.2e-274)
         t_1
         (if (<= y2 1.35e-79)
           (* a (* (* t b) (- z)))
           (if (<= y2 9e+101)
             t_1
             (if (<= y2 1.45e+209)
               (* (- k) (* y0 (* y2 y5)))
               (if (<= y2 1.9e+302)
                 (* t (* c (* y2 (- y4))))
                 (* c (* x (* y0 y2))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y * (y3 * y4));
	double tmp;
	if (y2 <= -3.7e+80) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= -6.5e-174) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= 4.2e-274) {
		tmp = t_1;
	} else if (y2 <= 1.35e-79) {
		tmp = a * ((t * b) * -z);
	} else if (y2 <= 9e+101) {
		tmp = t_1;
	} else if (y2 <= 1.45e+209) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y2 <= 1.9e+302) {
		tmp = t * (c * (y2 * -y4));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = c * (y * (y3 * y4))
    if (y2 <= (-3.7d+80)) then
        tmp = k * (y4 * (y1 * y2))
    else if (y2 <= (-6.5d-174)) then
        tmp = a * (y * (y3 * -y5))
    else if (y2 <= 4.2d-274) then
        tmp = t_1
    else if (y2 <= 1.35d-79) then
        tmp = a * ((t * b) * -z)
    else if (y2 <= 9d+101) then
        tmp = t_1
    else if (y2 <= 1.45d+209) then
        tmp = -k * (y0 * (y2 * y5))
    else if (y2 <= 1.9d+302) then
        tmp = t * (c * (y2 * -y4))
    else
        tmp = c * (x * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y * (y3 * y4));
	double tmp;
	if (y2 <= -3.7e+80) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= -6.5e-174) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= 4.2e-274) {
		tmp = t_1;
	} else if (y2 <= 1.35e-79) {
		tmp = a * ((t * b) * -z);
	} else if (y2 <= 9e+101) {
		tmp = t_1;
	} else if (y2 <= 1.45e+209) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y2 <= 1.9e+302) {
		tmp = t * (c * (y2 * -y4));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y * (y3 * y4))
	tmp = 0
	if y2 <= -3.7e+80:
		tmp = k * (y4 * (y1 * y2))
	elif y2 <= -6.5e-174:
		tmp = a * (y * (y3 * -y5))
	elif y2 <= 4.2e-274:
		tmp = t_1
	elif y2 <= 1.35e-79:
		tmp = a * ((t * b) * -z)
	elif y2 <= 9e+101:
		tmp = t_1
	elif y2 <= 1.45e+209:
		tmp = -k * (y0 * (y2 * y5))
	elif y2 <= 1.9e+302:
		tmp = t * (c * (y2 * -y4))
	else:
		tmp = c * (x * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y * Float64(y3 * y4)))
	tmp = 0.0
	if (y2 <= -3.7e+80)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (y2 <= -6.5e-174)
		tmp = Float64(a * Float64(y * Float64(y3 * Float64(-y5))));
	elseif (y2 <= 4.2e-274)
		tmp = t_1;
	elseif (y2 <= 1.35e-79)
		tmp = Float64(a * Float64(Float64(t * b) * Float64(-z)));
	elseif (y2 <= 9e+101)
		tmp = t_1;
	elseif (y2 <= 1.45e+209)
		tmp = Float64(Float64(-k) * Float64(y0 * Float64(y2 * y5)));
	elseif (y2 <= 1.9e+302)
		tmp = Float64(t * Float64(c * Float64(y2 * Float64(-y4))));
	else
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y * (y3 * y4));
	tmp = 0.0;
	if (y2 <= -3.7e+80)
		tmp = k * (y4 * (y1 * y2));
	elseif (y2 <= -6.5e-174)
		tmp = a * (y * (y3 * -y5));
	elseif (y2 <= 4.2e-274)
		tmp = t_1;
	elseif (y2 <= 1.35e-79)
		tmp = a * ((t * b) * -z);
	elseif (y2 <= 9e+101)
		tmp = t_1;
	elseif (y2 <= 1.45e+209)
		tmp = -k * (y0 * (y2 * y5));
	elseif (y2 <= 1.9e+302)
		tmp = t * (c * (y2 * -y4));
	else
		tmp = c * (x * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -3.7e+80], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -6.5e-174], N[(a * N[(y * N[(y3 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 4.2e-274], t$95$1, If[LessEqual[y2, 1.35e-79], N[(a * N[(N[(t * b), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 9e+101], t$95$1, If[LessEqual[y2, 1.45e+209], N[((-k) * N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.9e+302], N[(t * N[(c * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y2 < -3.69999999999999996e80

   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 y2 around inf 64.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 57.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y1 around inf 47.2%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.7%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 50.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if -3.69999999999999996e80 < y2 < -6.50000000000000009e-174

   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 y3 around -inf 44.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 33.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around inf 27.1%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 27.1%

         \[\leadsto -1 \cdot \left(a \cdot \left(y \cdot \color{blue}{\left(y5 \cdot y3\right)}\right)\right) \]

   7. Simplified 27.1%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y5 \cdot y3\right)\right)\right)} \]

   if -6.50000000000000009e-174 < y2 < 4.19999999999999988e-274 or 1.3500000000000001e-79 < y2 < 9.0000000000000004e101

   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 y3 around -inf 47.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 42.9%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 37.7%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 37.7%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. neg-mul-1 37.7%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right) \]

      3. *-commutative 37.7%

         \[\leadsto -1 \cdot \left(\left(-c\right) \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3\right)}\right)\right) \]

   7. Simplified 37.7%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-c\right) \cdot \left(y \cdot \left(y4 \cdot y3\right)\right)\right)} \]

   if 4.19999999999999988e-274 < y2 < 1.3500000000000001e-79

   1. Initial program 27.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 38.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 32.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 32.2%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right)\right) \]

      2. *-commutative 32.2%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - z \cdot t\right)\right) \]

   6. Simplified 32.2%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - z \cdot t\right)\right)} \]

   7. Taylor expanded in y around 0 22.5%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 22.5%

         \[\leadsto \color{blue}{-a \cdot \left(b \cdot \left(t \cdot z\right)\right)} \]

      2. *-commutative 22.5%

         \[\leadsto -\color{blue}{\left(b \cdot \left(t \cdot z\right)\right) \cdot a} \]

      3. distribute-rgt-neg-in 22.5%

         \[\leadsto \color{blue}{\left(b \cdot \left(t \cdot z\right)\right) \cdot \left(-a\right)} \]

      4. associate-*r* 25.9%

         \[\leadsto \color{blue}{\left(\left(b \cdot t\right) \cdot z\right)} \cdot \left(-a\right) \]

      5. *-commutative 25.9%

         \[\leadsto \color{blue}{\left(z \cdot \left(b \cdot t\right)\right)} \cdot \left(-a\right) \]

      6. *-commutative 25.9%

         \[\leadsto \left(z \cdot \color{blue}{\left(t \cdot b\right)}\right) \cdot \left(-a\right) \]

   9. Simplified 25.9%

      \[\leadsto \color{blue}{\left(z \cdot \left(t \cdot b\right)\right) \cdot \left(-a\right)} \]

   if 9.0000000000000004e101 < y2 < 1.45e209

   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 49.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 45.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y5 around inf 38.0%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 38.0%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. neg-mul-1 38.0%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right) \]

   7. Simplified 38.0%

      \[\leadsto \color{blue}{\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

   if 1.45e209 < y2 < 1.9000000000000002e302

   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 62.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 77.7%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 77.7%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 77.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around 0 55.8%

      \[\leadsto t \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot y4\right)\right)} \cdot y2\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 55.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c \cdot y4\right)} \cdot y2\right) \]

      2. distribute-rgt-neg-in 55.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   9. Simplified 55.8%

      \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   10. Taylor expanded in c around 0 70.2%

       \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 70.2%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   12. Simplified 70.2%

       \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   if 1.9000000000000002e302 < y2

   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 a around 0 100.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in x around inf 100.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y2 \cdot y0\right)}\right) \]

   7. Simplified 100.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y2 \cdot y0\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 39.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -3.7 \cdot 10^{+80}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -6.5 \cdot 10^{-174}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 4.2 \cdot 10^{-274}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 1.35 \cdot 10^{-79}:\\ \;\;\;\;a \cdot \left(\left(t \cdot b\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 9 \cdot 10^{+101}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{+209}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.9 \cdot 10^{+302}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 26: 22.7% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -7.1 \cdot 10^{+75}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -7 \cdot 10^{-175}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 10^{-201}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y2 \leq 1.5 \cdot 10^{-76}:\\ \;\;\;\;a \cdot \left(\left(t \cdot b\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 2 \cdot 10^{+101}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{+210}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.22 \cdot 10^{+302}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -7.1e+75)
   (* k (* y4 (* y1 y2)))
   (if (<= y2 -7e-175)
     (* a (* y (* y3 (- y5))))
     (if (<= y2 1e-201)
       (* (* y3 y4) (* y c))
       (if (<= y2 1.5e-76)
         (* a (* (* t b) (- z)))
         (if (<= y2 2e+101)
           (* c (* y (* y3 y4)))
           (if (<= y2 1.45e+210)
             (* (- k) (* y0 (* y2 y5)))
             (if (<= y2 1.22e+302)
               (* t (* c (* y2 (- y4))))
               (* c (* x (* y0 y2)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -7.1e+75) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= -7e-175) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= 1e-201) {
		tmp = (y3 * y4) * (y * c);
	} else if (y2 <= 1.5e-76) {
		tmp = a * ((t * b) * -z);
	} else if (y2 <= 2e+101) {
		tmp = c * (y * (y3 * y4));
	} else if (y2 <= 1.45e+210) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y2 <= 1.22e+302) {
		tmp = t * (c * (y2 * -y4));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-7.1d+75)) then
        tmp = k * (y4 * (y1 * y2))
    else if (y2 <= (-7d-175)) then
        tmp = a * (y * (y3 * -y5))
    else if (y2 <= 1d-201) then
        tmp = (y3 * y4) * (y * c)
    else if (y2 <= 1.5d-76) then
        tmp = a * ((t * b) * -z)
    else if (y2 <= 2d+101) then
        tmp = c * (y * (y3 * y4))
    else if (y2 <= 1.45d+210) then
        tmp = -k * (y0 * (y2 * y5))
    else if (y2 <= 1.22d+302) then
        tmp = t * (c * (y2 * -y4))
    else
        tmp = c * (x * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -7.1e+75) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= -7e-175) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= 1e-201) {
		tmp = (y3 * y4) * (y * c);
	} else if (y2 <= 1.5e-76) {
		tmp = a * ((t * b) * -z);
	} else if (y2 <= 2e+101) {
		tmp = c * (y * (y3 * y4));
	} else if (y2 <= 1.45e+210) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y2 <= 1.22e+302) {
		tmp = t * (c * (y2 * -y4));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -7.1e+75:
		tmp = k * (y4 * (y1 * y2))
	elif y2 <= -7e-175:
		tmp = a * (y * (y3 * -y5))
	elif y2 <= 1e-201:
		tmp = (y3 * y4) * (y * c)
	elif y2 <= 1.5e-76:
		tmp = a * ((t * b) * -z)
	elif y2 <= 2e+101:
		tmp = c * (y * (y3 * y4))
	elif y2 <= 1.45e+210:
		tmp = -k * (y0 * (y2 * y5))
	elif y2 <= 1.22e+302:
		tmp = t * (c * (y2 * -y4))
	else:
		tmp = c * (x * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -7.1e+75)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (y2 <= -7e-175)
		tmp = Float64(a * Float64(y * Float64(y3 * Float64(-y5))));
	elseif (y2 <= 1e-201)
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	elseif (y2 <= 1.5e-76)
		tmp = Float64(a * Float64(Float64(t * b) * Float64(-z)));
	elseif (y2 <= 2e+101)
		tmp = Float64(c * Float64(y * Float64(y3 * y4)));
	elseif (y2 <= 1.45e+210)
		tmp = Float64(Float64(-k) * Float64(y0 * Float64(y2 * y5)));
	elseif (y2 <= 1.22e+302)
		tmp = Float64(t * Float64(c * Float64(y2 * Float64(-y4))));
	else
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -7.1e+75)
		tmp = k * (y4 * (y1 * y2));
	elseif (y2 <= -7e-175)
		tmp = a * (y * (y3 * -y5));
	elseif (y2 <= 1e-201)
		tmp = (y3 * y4) * (y * c);
	elseif (y2 <= 1.5e-76)
		tmp = a * ((t * b) * -z);
	elseif (y2 <= 2e+101)
		tmp = c * (y * (y3 * y4));
	elseif (y2 <= 1.45e+210)
		tmp = -k * (y0 * (y2 * y5));
	elseif (y2 <= 1.22e+302)
		tmp = t * (c * (y2 * -y4));
	else
		tmp = c * (x * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -7.1e+75], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -7e-175], N[(a * N[(y * N[(y3 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1e-201], N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.5e-76], N[(a * N[(N[(t * b), $MachinePrecision] * (-z)), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2e+101], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.45e+210], N[((-k) * N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.22e+302], N[(t * N[(c * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -7.09999999999999982e75

   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 y2 around inf 64.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 57.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y1 around inf 47.2%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.7%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 50.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if -7.09999999999999982e75 < y2 < -6.99999999999999997e-175

   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 y3 around -inf 44.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 33.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around inf 27.1%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 27.1%

         \[\leadsto -1 \cdot \left(a \cdot \left(y \cdot \color{blue}{\left(y5 \cdot y3\right)}\right)\right) \]

   7. Simplified 27.1%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y5 \cdot y3\right)\right)\right)} \]

   if -6.99999999999999997e-175 < y2 < 9.99999999999999946e-202

   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 y3 around -inf 45.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 34.4%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 27.7%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 27.7%

         \[\leadsto -1 \cdot \color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. associate-*r* 32.3%

         \[\leadsto -1 \cdot \left(-\color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4\right)}\right) \]

      3. distribute-lft-neg-in 32.3%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-c \cdot y\right) \cdot \left(y3 \cdot y4\right)\right)} \]

      4. distribute-rgt-neg-in 32.3%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(c \cdot \left(-y\right)\right)} \cdot \left(y3 \cdot y4\right)\right) \]

      5. *-commutative 32.3%

         \[\leadsto -1 \cdot \left(\left(c \cdot \left(-y\right)\right) \cdot \color{blue}{\left(y4 \cdot y3\right)}\right) \]

   7. Simplified 32.3%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(c \cdot \left(-y\right)\right) \cdot \left(y4 \cdot y3\right)\right)} \]

   if 9.99999999999999946e-202 < y2 < 1.50000000000000012e-76

   1. Initial program 41.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 33.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 30.0%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right)\right) \]

      2. *-commutative 30.0%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - z \cdot t\right)\right) \]

   6. Simplified 30.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - z \cdot t\right)\right)} \]

   7. Taylor expanded in y around 0 22.5%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   8. Step-by-step derivation

      1. mul-1-neg 22.5%

         \[\leadsto \color{blue}{-a \cdot \left(b \cdot \left(t \cdot z\right)\right)} \]

      2. *-commutative 22.5%

         \[\leadsto -\color{blue}{\left(b \cdot \left(t \cdot z\right)\right) \cdot a} \]

      3. distribute-rgt-neg-in 22.5%

         \[\leadsto \color{blue}{\left(b \cdot \left(t \cdot z\right)\right) \cdot \left(-a\right)} \]

      4. associate-*r* 26.6%

         \[\leadsto \color{blue}{\left(\left(b \cdot t\right) \cdot z\right)} \cdot \left(-a\right) \]

      5. *-commutative 26.6%

         \[\leadsto \color{blue}{\left(z \cdot \left(b \cdot t\right)\right)} \cdot \left(-a\right) \]

      6. *-commutative 26.6%

         \[\leadsto \left(z \cdot \color{blue}{\left(t \cdot b\right)}\right) \cdot \left(-a\right) \]

   9. Simplified 26.6%

      \[\leadsto \color{blue}{\left(z \cdot \left(t \cdot b\right)\right) \cdot \left(-a\right)} \]

   if 1.50000000000000012e-76 < y2 < 2e101

   1. Initial program 24.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 54.1%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 52.2%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 46.8%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.8%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. neg-mul-1 46.8%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right) \]

      3. *-commutative 46.8%

         \[\leadsto -1 \cdot \left(\left(-c\right) \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3\right)}\right)\right) \]

   7. Simplified 46.8%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-c\right) \cdot \left(y \cdot \left(y4 \cdot y3\right)\right)\right)} \]

   if 2e101 < y2 < 1.44999999999999996e210

   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 49.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 45.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y5 around inf 38.0%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 38.0%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. neg-mul-1 38.0%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right) \]

   7. Simplified 38.0%

      \[\leadsto \color{blue}{\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

   if 1.44999999999999996e210 < y2 < 1.2199999999999999e302

   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 62.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 77.7%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 77.7%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 77.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around 0 55.8%

      \[\leadsto t \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot y4\right)\right)} \cdot y2\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 55.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c \cdot y4\right)} \cdot y2\right) \]

      2. distribute-rgt-neg-in 55.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   9. Simplified 55.8%

      \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   10. Taylor expanded in c around 0 70.2%

       \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 70.2%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   12. Simplified 70.2%

       \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   if 1.2199999999999999e302 < y2

   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 a around 0 100.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in x around inf 100.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y2 \cdot y0\right)}\right) \]

   7. Simplified 100.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y2 \cdot y0\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 39.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -7.1 \cdot 10^{+75}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -7 \cdot 10^{-175}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq 10^{-201}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y2 \leq 1.5 \cdot 10^{-76}:\\ \;\;\;\;a \cdot \left(\left(t \cdot b\right) \cdot \left(-z\right)\right)\\ \mathbf{elif}\;y2 \leq 2 \cdot 10^{+101}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{+210}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 1.22 \cdot 10^{+302}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 27: 25.2% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -1.05 \cdot 10^{+76}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1 \cdot 10^{-174}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -4 \cdot 10^{-220}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{-79}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 3 \cdot 10^{+101}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 5.6 \cdot 10^{+209}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 2.3 \cdot 10^{+303}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -1.05e+76)
   (* k (* y4 (* y1 y2)))
   (if (<= y2 -1e-174)
     (* a (* y (* y3 (- y5))))
     (if (<= y2 -4e-220)
       (* (* y3 y4) (* y c))
       (if (<= y2 1.45e-79)
         (* a (* b (- (* x y) (* z t))))
         (if (<= y2 3e+101)
           (* c (* y (* y3 y4)))
           (if (<= y2 5.6e+209)
             (* (- k) (* y0 (* y2 y5)))
             (if (<= y2 2.3e+303)
               (* t (* c (* y2 (- y4))))
               (* c (* x (* y0 y2)))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.05e+76) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= -1e-174) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= -4e-220) {
		tmp = (y3 * y4) * (y * c);
	} else if (y2 <= 1.45e-79) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y2 <= 3e+101) {
		tmp = c * (y * (y3 * y4));
	} else if (y2 <= 5.6e+209) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y2 <= 2.3e+303) {
		tmp = t * (c * (y2 * -y4));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-1.05d+76)) then
        tmp = k * (y4 * (y1 * y2))
    else if (y2 <= (-1d-174)) then
        tmp = a * (y * (y3 * -y5))
    else if (y2 <= (-4d-220)) then
        tmp = (y3 * y4) * (y * c)
    else if (y2 <= 1.45d-79) then
        tmp = a * (b * ((x * y) - (z * t)))
    else if (y2 <= 3d+101) then
        tmp = c * (y * (y3 * y4))
    else if (y2 <= 5.6d+209) then
        tmp = -k * (y0 * (y2 * y5))
    else if (y2 <= 2.3d+303) then
        tmp = t * (c * (y2 * -y4))
    else
        tmp = c * (x * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.05e+76) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= -1e-174) {
		tmp = a * (y * (y3 * -y5));
	} else if (y2 <= -4e-220) {
		tmp = (y3 * y4) * (y * c);
	} else if (y2 <= 1.45e-79) {
		tmp = a * (b * ((x * y) - (z * t)));
	} else if (y2 <= 3e+101) {
		tmp = c * (y * (y3 * y4));
	} else if (y2 <= 5.6e+209) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y2 <= 2.3e+303) {
		tmp = t * (c * (y2 * -y4));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -1.05e+76:
		tmp = k * (y4 * (y1 * y2))
	elif y2 <= -1e-174:
		tmp = a * (y * (y3 * -y5))
	elif y2 <= -4e-220:
		tmp = (y3 * y4) * (y * c)
	elif y2 <= 1.45e-79:
		tmp = a * (b * ((x * y) - (z * t)))
	elif y2 <= 3e+101:
		tmp = c * (y * (y3 * y4))
	elif y2 <= 5.6e+209:
		tmp = -k * (y0 * (y2 * y5))
	elif y2 <= 2.3e+303:
		tmp = t * (c * (y2 * -y4))
	else:
		tmp = c * (x * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -1.05e+76)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (y2 <= -1e-174)
		tmp = Float64(a * Float64(y * Float64(y3 * Float64(-y5))));
	elseif (y2 <= -4e-220)
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	elseif (y2 <= 1.45e-79)
		tmp = Float64(a * Float64(b * Float64(Float64(x * y) - Float64(z * t))));
	elseif (y2 <= 3e+101)
		tmp = Float64(c * Float64(y * Float64(y3 * y4)));
	elseif (y2 <= 5.6e+209)
		tmp = Float64(Float64(-k) * Float64(y0 * Float64(y2 * y5)));
	elseif (y2 <= 2.3e+303)
		tmp = Float64(t * Float64(c * Float64(y2 * Float64(-y4))));
	else
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -1.05e+76)
		tmp = k * (y4 * (y1 * y2));
	elseif (y2 <= -1e-174)
		tmp = a * (y * (y3 * -y5));
	elseif (y2 <= -4e-220)
		tmp = (y3 * y4) * (y * c);
	elseif (y2 <= 1.45e-79)
		tmp = a * (b * ((x * y) - (z * t)));
	elseif (y2 <= 3e+101)
		tmp = c * (y * (y3 * y4));
	elseif (y2 <= 5.6e+209)
		tmp = -k * (y0 * (y2 * y5));
	elseif (y2 <= 2.3e+303)
		tmp = t * (c * (y2 * -y4));
	else
		tmp = c * (x * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -1.05e+76], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -1e-174], N[(a * N[(y * N[(y3 * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, -4e-220], N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.45e-79], N[(a * N[(b * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3e+101], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 5.6e+209], N[((-k) * N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 2.3e+303], N[(t * N[(c * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if y2 < -1.05000000000000003e76

   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 y2 around inf 64.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 57.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y1 around inf 47.2%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 50.7%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 50.7%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if -1.05000000000000003e76 < y2 < -1e-174

   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 y3 around -inf 44.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 33.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around inf 27.1%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y3 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 27.1%

         \[\leadsto -1 \cdot \left(a \cdot \left(y \cdot \color{blue}{\left(y5 \cdot y3\right)}\right)\right) \]

   7. Simplified 27.1%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y \cdot \left(y5 \cdot y3\right)\right)\right)} \]

   if -1e-174 < y2 < -3.99999999999999997e-220

   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 y3 around -inf 50.1%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 43.9%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 44.2%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 44.2%

         \[\leadsto -1 \cdot \color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. associate-*r* 51.1%

         \[\leadsto -1 \cdot \left(-\color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4\right)}\right) \]

      3. distribute-lft-neg-in 51.1%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-c \cdot y\right) \cdot \left(y3 \cdot y4\right)\right)} \]

      4. distribute-rgt-neg-in 51.1%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(c \cdot \left(-y\right)\right)} \cdot \left(y3 \cdot y4\right)\right) \]

      5. *-commutative 51.1%

         \[\leadsto -1 \cdot \left(\left(c \cdot \left(-y\right)\right) \cdot \color{blue}{\left(y4 \cdot y3\right)}\right) \]

   7. Simplified 51.1%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(c \cdot \left(-y\right)\right) \cdot \left(y4 \cdot y3\right)\right)} \]

   if -3.99999999999999997e-220 < y2 < 1.45e-79

   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 39.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 31.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 31.7%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right)\right) \]

      2. *-commutative 31.7%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - z \cdot t\right)\right) \]

   6. Simplified 31.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - z \cdot t\right)\right)} \]

   if 1.45e-79 < y2 < 2.99999999999999993e101

   1. Initial program 27.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 50.1%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 48.4%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 43.5%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 43.5%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. neg-mul-1 43.5%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right) \]

      3. *-commutative 43.5%

         \[\leadsto -1 \cdot \left(\left(-c\right) \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3\right)}\right)\right) \]

   7. Simplified 43.5%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-c\right) \cdot \left(y \cdot \left(y4 \cdot y3\right)\right)\right)} \]

   if 2.99999999999999993e101 < y2 < 5.60000000000000026e209

   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 49.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 45.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y5 around inf 38.0%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 38.0%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. neg-mul-1 38.0%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right) \]

   7. Simplified 38.0%

      \[\leadsto \color{blue}{\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

   if 5.60000000000000026e209 < y2 < 2.2999999999999999e303

   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 62.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 77.7%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 77.7%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 77.7%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around 0 55.8%

      \[\leadsto t \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot y4\right)\right)} \cdot y2\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 55.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c \cdot y4\right)} \cdot y2\right) \]

      2. distribute-rgt-neg-in 55.8%

         \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   9. Simplified 55.8%

      \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   10. Taylor expanded in c around 0 70.2%

       \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 70.2%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   12. Simplified 70.2%

       \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   if 2.2999999999999999e303 < y2

   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 a around 0 100.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in x around inf 100.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y2 \cdot y0\right)}\right) \]

   7. Simplified 100.0%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y2 \cdot y0\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 40.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.05 \cdot 10^{+76}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq -1 \cdot 10^{-174}:\\ \;\;\;\;a \cdot \left(y \cdot \left(y3 \cdot \left(-y5\right)\right)\right)\\ \mathbf{elif}\;y2 \leq -4 \cdot 10^{-220}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \mathbf{elif}\;y2 \leq 1.45 \cdot 10^{-79}:\\ \;\;\;\;a \cdot \left(b \cdot \left(x \cdot y - z \cdot t\right)\right)\\ \mathbf{elif}\;y2 \leq 3 \cdot 10^{+101}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 5.6 \cdot 10^{+209}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 2.3 \cdot 10^{+303}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 28: 27.2% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{if}\;y \leq -8.6 \cdot 10^{+228}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{+143}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y \leq -6.5 \cdot 10^{-110}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y \leq 5.4 \cdot 10^{-40}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 1.15 \cdot 10^{+59}:\\ \;\;\;\;\left(-y\right) \cdot \left(y5 \cdot \left(a \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+193}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* t (- (* j y4) (* z a))))))
   (if (<= y -8.6e+228)
     (* c (* y (* y3 y4)))
     (if (<= y -1.05e+143)
       t_1
       (if (<= y -6.5e-110)
         (* j (* y5 (- (* y0 y3) (* t i))))
         (if (<= y 5.4e-40)
           (* c (* y2 (- (* x y0) (* t y4))))
           (if (<= y 1.15e+59)
             (* (- y) (* y5 (* a y3)))
             (if (<= y 8e+193) t_1 (* (* y3 y4) (* y c))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (t * ((j * y4) - (z * a)));
	double tmp;
	if (y <= -8.6e+228) {
		tmp = c * (y * (y3 * y4));
	} else if (y <= -1.05e+143) {
		tmp = t_1;
	} else if (y <= -6.5e-110) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y <= 5.4e-40) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (y <= 1.15e+59) {
		tmp = -y * (y5 * (a * y3));
	} else if (y <= 8e+193) {
		tmp = t_1;
	} else {
		tmp = (y3 * y4) * (y * c);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (t * ((j * y4) - (z * a)))
    if (y <= (-8.6d+228)) then
        tmp = c * (y * (y3 * y4))
    else if (y <= (-1.05d+143)) then
        tmp = t_1
    else if (y <= (-6.5d-110)) then
        tmp = j * (y5 * ((y0 * y3) - (t * i)))
    else if (y <= 5.4d-40) then
        tmp = c * (y2 * ((x * y0) - (t * y4)))
    else if (y <= 1.15d+59) then
        tmp = -y * (y5 * (a * y3))
    else if (y <= 8d+193) then
        tmp = t_1
    else
        tmp = (y3 * y4) * (y * c)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (t * ((j * y4) - (z * a)));
	double tmp;
	if (y <= -8.6e+228) {
		tmp = c * (y * (y3 * y4));
	} else if (y <= -1.05e+143) {
		tmp = t_1;
	} else if (y <= -6.5e-110) {
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	} else if (y <= 5.4e-40) {
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	} else if (y <= 1.15e+59) {
		tmp = -y * (y5 * (a * y3));
	} else if (y <= 8e+193) {
		tmp = t_1;
	} else {
		tmp = (y3 * y4) * (y * c);
	}
	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)))
	tmp = 0
	if y <= -8.6e+228:
		tmp = c * (y * (y3 * y4))
	elif y <= -1.05e+143:
		tmp = t_1
	elif y <= -6.5e-110:
		tmp = j * (y5 * ((y0 * y3) - (t * i)))
	elif y <= 5.4e-40:
		tmp = c * (y2 * ((x * y0) - (t * y4)))
	elif y <= 1.15e+59:
		tmp = -y * (y5 * (a * y3))
	elif y <= 8e+193:
		tmp = t_1
	else:
		tmp = (y3 * y4) * (y * c)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))))
	tmp = 0.0
	if (y <= -8.6e+228)
		tmp = Float64(c * Float64(y * Float64(y3 * y4)));
	elseif (y <= -1.05e+143)
		tmp = t_1;
	elseif (y <= -6.5e-110)
		tmp = Float64(j * Float64(y5 * Float64(Float64(y0 * y3) - Float64(t * i))));
	elseif (y <= 5.4e-40)
		tmp = Float64(c * Float64(y2 * Float64(Float64(x * y0) - Float64(t * y4))));
	elseif (y <= 1.15e+59)
		tmp = Float64(Float64(-y) * Float64(y5 * Float64(a * y3)));
	elseif (y <= 8e+193)
		tmp = t_1;
	else
		tmp = Float64(Float64(y3 * y4) * Float64(y * c));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (t * ((j * y4) - (z * a)));
	tmp = 0.0;
	if (y <= -8.6e+228)
		tmp = c * (y * (y3 * y4));
	elseif (y <= -1.05e+143)
		tmp = t_1;
	elseif (y <= -6.5e-110)
		tmp = j * (y5 * ((y0 * y3) - (t * i)));
	elseif (y <= 5.4e-40)
		tmp = c * (y2 * ((x * y0) - (t * y4)));
	elseif (y <= 1.15e+59)
		tmp = -y * (y5 * (a * y3));
	elseif (y <= 8e+193)
		tmp = t_1;
	else
		tmp = (y3 * y4) * (y * c);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -8.6e+228], N[(c * N[(y * N[(y3 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.05e+143], t$95$1, If[LessEqual[y, -6.5e-110], N[(j * N[(y5 * N[(N[(y0 * y3), $MachinePrecision] - N[(t * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 5.4e-40], N[(c * N[(y2 * N[(N[(x * y0), $MachinePrecision] - N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.15e+59], N[((-y) * N[(y5 * N[(a * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 8e+193], t$95$1, N[(N[(y3 * y4), $MachinePrecision] * N[(y * c), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if y < -8.60000000000000063e228

   1. Initial program 13.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y3 around -inf 47.1%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 55.0%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 73.4%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 73.4%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-1 \cdot c\right) \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. neg-mul-1 73.4%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(-c\right)} \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right) \]

      3. *-commutative 73.4%

         \[\leadsto -1 \cdot \left(\left(-c\right) \cdot \left(y \cdot \color{blue}{\left(y4 \cdot y3\right)}\right)\right) \]

   7. Simplified 73.4%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(-c\right) \cdot \left(y \cdot \left(y4 \cdot y3\right)\right)\right)} \]

   if -8.60000000000000063e228 < y < -1.04999999999999994e143 or 1.15000000000000004e59 < y < 8.00000000000000053e193

   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 b around inf 27.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in t around inf 45.9%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 45.9%

         \[\leadsto b \cdot \color{blue}{\left(\left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right) \cdot t\right)} \]

      2. +-commutative 45.9%

         \[\leadsto b \cdot \left(\color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)} \cdot t\right) \]

      3. mul-1-neg 45.9%

         \[\leadsto b \cdot \left(\left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right) \cdot t\right) \]

      4. unsub-neg 45.9%

         \[\leadsto b \cdot \left(\color{blue}{\left(j \cdot y4 - a \cdot z\right)} \cdot t\right) \]

      5. *-commutative 45.9%

         \[\leadsto b \cdot \left(\left(\color{blue}{y4 \cdot j} - a \cdot z\right) \cdot t\right) \]

      6. *-commutative 45.9%

         \[\leadsto b \cdot \left(\left(y4 \cdot j - \color{blue}{z \cdot a}\right) \cdot t\right) \]

   6. Simplified 45.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(y4 \cdot j - z \cdot a\right) \cdot t\right)} \]

   if -1.04999999999999994e143 < y < -6.4999999999999996e-110

   1. Initial program 28.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in j around inf 39.3%

      \[\leadsto \color{blue}{j \cdot \left(\left(-1 \cdot \left(y3 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + t \cdot \left(b \cdot y4 - i \cdot y5\right)\right) - x \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   4. Taylor expanded in y5 around inf 36.0%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(-1 \cdot \left(i \cdot t\right) + y0 \cdot y3\right)\right)} \]
   5. Step-by-step derivation

      1. +-commutative 36.0%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 + -1 \cdot \left(i \cdot t\right)\right)}\right) \]

      2. mul-1-neg 36.0%

         \[\leadsto j \cdot \left(y5 \cdot \left(y0 \cdot y3 + \color{blue}{\left(-i \cdot t\right)}\right)\right) \]

      3. unsub-neg 36.0%

         \[\leadsto j \cdot \left(y5 \cdot \color{blue}{\left(y0 \cdot y3 - i \cdot t\right)}\right) \]

      4. *-commutative 36.0%

         \[\leadsto j \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot y0} - i \cdot t\right)\right) \]

      5. *-commutative 36.0%

         \[\leadsto j \cdot \left(y5 \cdot \left(y3 \cdot y0 - \color{blue}{t \cdot i}\right)\right) \]

   6. Simplified 36.0%

      \[\leadsto \color{blue}{j \cdot \left(y5 \cdot \left(y3 \cdot y0 - t \cdot i\right)\right)} \]

   if -6.4999999999999996e-110 < y < 5.4e-40

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in y2 around inf 47.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in c around inf 39.7%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 39.7%

         \[\leadsto c \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot x} - t \cdot y4\right)\right) \]

      2. *-commutative 39.7%

         \[\leadsto c \cdot \left(y2 \cdot \left(y0 \cdot x - \color{blue}{y4 \cdot t}\right)\right) \]

   6. Simplified 39.7%

      \[\leadsto \color{blue}{c \cdot \left(y2 \cdot \left(y0 \cdot x - y4 \cdot t\right)\right)} \]

   if 5.4e-40 < y < 1.15000000000000004e59

   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 y3 around -inf 53.0%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 52.7%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around inf 40.1%

      \[\leadsto -1 \cdot \left(y \cdot \color{blue}{\left(a \cdot \left(y3 \cdot y5\right)\right)}\right) \]
   6. Step-by-step derivation

      1. associate-*r* 44.2%

         \[\leadsto -1 \cdot \left(y \cdot \color{blue}{\left(\left(a \cdot y3\right) \cdot y5\right)}\right) \]

   7. Simplified 44.2%

      \[\leadsto -1 \cdot \left(y \cdot \color{blue}{\left(\left(a \cdot y3\right) \cdot y5\right)}\right) \]

   if 8.00000000000000053e193 < y

   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 y3 around -inf 56.7%

      \[\leadsto \color{blue}{-1 \cdot \left(y3 \cdot \left(\left(j \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + z \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - y \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\right)} \]

   4. Taylor expanded in y around inf 70.8%

      \[\leadsto -1 \cdot \color{blue}{\left(y \cdot \left(y3 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\right)} \]

   5. Taylor expanded in a around 0 54.4%

      \[\leadsto -1 \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 54.4%

         \[\leadsto -1 \cdot \color{blue}{\left(-c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\right)} \]

      2. associate-*r* 60.8%

         \[\leadsto -1 \cdot \left(-\color{blue}{\left(c \cdot y\right) \cdot \left(y3 \cdot y4\right)}\right) \]

      3. distribute-lft-neg-in 60.8%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(-c \cdot y\right) \cdot \left(y3 \cdot y4\right)\right)} \]

      4. distribute-rgt-neg-in 60.8%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(c \cdot \left(-y\right)\right)} \cdot \left(y3 \cdot y4\right)\right) \]

      5. *-commutative 60.8%

         \[\leadsto -1 \cdot \left(\left(c \cdot \left(-y\right)\right) \cdot \color{blue}{\left(y4 \cdot y3\right)}\right) \]

   7. Simplified 60.8%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(c \cdot \left(-y\right)\right) \cdot \left(y4 \cdot y3\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 44.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -8.6 \cdot 10^{+228}:\\ \;\;\;\;c \cdot \left(y \cdot \left(y3 \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{+143}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;y \leq -6.5 \cdot 10^{-110}:\\ \;\;\;\;j \cdot \left(y5 \cdot \left(y0 \cdot y3 - t \cdot i\right)\right)\\ \mathbf{elif}\;y \leq 5.4 \cdot 10^{-40}:\\ \;\;\;\;c \cdot \left(y2 \cdot \left(x \cdot y0 - t \cdot y4\right)\right)\\ \mathbf{elif}\;y \leq 1.15 \cdot 10^{+59}:\\ \;\;\;\;\left(-y\right) \cdot \left(y5 \cdot \left(a \cdot y3\right)\right)\\ \mathbf{elif}\;y \leq 8 \cdot 10^{+193}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{else}:\\ \;\;\;\;\left(y3 \cdot y4\right) \cdot \left(y \cdot c\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 29: 22.0% accurate, 2.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{if}\;y2 \leq -3.5 \cdot 10^{+84}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 3.5 \cdot 10^{-147}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y2 \leq 5.8 \cdot 10^{+120}:\\ \;\;\;\;t\_1\\ \mathbf{elif}\;y2 \leq 1.32 \cdot 10^{+174}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 3.7 \cdot 10^{+194}:\\ \;\;\;\;t\_1\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \end{array} \end{array} \]

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)))))
   (if (<= y2 -3.5e+84)
     (* k (* y4 (* y1 y2)))
     (if (<= y2 3.5e-147)
       (* a (* (* x y) b))
       (if (<= y2 5.8e+120)
         t_1
         (if (<= y2 1.32e+174)
           (* (- k) (* y0 (* y2 y5)))
           (if (<= y2 3.7e+194) t_1 (* t (* c (* y2 (- 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));
	double tmp;
	if (y2 <= -3.5e+84) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= 3.5e-147) {
		tmp = a * ((x * y) * b);
	} else if (y2 <= 5.8e+120) {
		tmp = t_1;
	} else if (y2 <= 1.32e+174) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y2 <= 3.7e+194) {
		tmp = t_1;
	} else {
		tmp = t * (c * (y2 * -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))
    if (y2 <= (-3.5d+84)) then
        tmp = k * (y4 * (y1 * y2))
    else if (y2 <= 3.5d-147) then
        tmp = a * ((x * y) * b)
    else if (y2 <= 5.8d+120) then
        tmp = t_1
    else if (y2 <= 1.32d+174) then
        tmp = -k * (y0 * (y2 * y5))
    else if (y2 <= 3.7d+194) then
        tmp = t_1
    else
        tmp = t * (c * (y2 * -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));
	double tmp;
	if (y2 <= -3.5e+84) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= 3.5e-147) {
		tmp = a * ((x * y) * b);
	} else if (y2 <= 5.8e+120) {
		tmp = t_1;
	} else if (y2 <= 1.32e+174) {
		tmp = -k * (y0 * (y2 * y5));
	} else if (y2 <= 3.7e+194) {
		tmp = t_1;
	} else {
		tmp = t * (c * (y2 * -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))
	tmp = 0
	if y2 <= -3.5e+84:
		tmp = k * (y4 * (y1 * y2))
	elif y2 <= 3.5e-147:
		tmp = a * ((x * y) * b)
	elif y2 <= 5.8e+120:
		tmp = t_1
	elif y2 <= 1.32e+174:
		tmp = -k * (y0 * (y2 * y5))
	elif y2 <= 3.7e+194:
		tmp = t_1
	else:
		tmp = t * (c * (y2 * -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(t * y4)))
	tmp = 0.0
	if (y2 <= -3.5e+84)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (y2 <= 3.5e-147)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (y2 <= 5.8e+120)
		tmp = t_1;
	elseif (y2 <= 1.32e+174)
		tmp = Float64(Float64(-k) * Float64(y0 * Float64(y2 * y5)));
	elseif (y2 <= 3.7e+194)
		tmp = t_1;
	else
		tmp = Float64(t * Float64(c * Float64(y2 * 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));
	tmp = 0.0;
	if (y2 <= -3.5e+84)
		tmp = k * (y4 * (y1 * y2));
	elseif (y2 <= 3.5e-147)
		tmp = a * ((x * y) * b);
	elseif (y2 <= 5.8e+120)
		tmp = t_1;
	elseif (y2 <= 1.32e+174)
		tmp = -k * (y0 * (y2 * y5));
	elseif (y2 <= 3.7e+194)
		tmp = t_1;
	else
		tmp = t * (c * (y2 * -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[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y2, -3.5e+84], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.5e-147], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 5.8e+120], t$95$1, If[LessEqual[y2, 1.32e+174], N[((-k) * N[(y0 * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 3.7e+194], t$95$1, N[(t * N[(c * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y2 < -3.4999999999999999e84

   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 y2 around inf 65.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 58.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y1 around inf 48.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 51.6%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 51.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if -3.4999999999999999e84 < y2 < 3.50000000000000004e-147

   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 b around inf 35.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 27.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 27.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right)\right) \]

      2. *-commutative 27.4%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - z \cdot t\right)\right) \]

   6. Simplified 27.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - z \cdot t\right)\right)} \]

   7. Taylor expanded in y around inf 22.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 22.8%

         \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

   9. Simplified 22.8%

      \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

   if 3.50000000000000004e-147 < y2 < 5.8000000000000003e120 or 1.31999999999999999e174 < y2 < 3.7000000000000003e194

   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 b around inf 35.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 33.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 30.4%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 30.4%

         \[\leadsto \color{blue}{\left(y4 \cdot b\right)} \cdot \left(j \cdot t - k \cdot y\right) \]

      3. *-commutative 30.4%

         \[\leadsto \left(y4 \cdot b\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 30.4%

      \[\leadsto \color{blue}{\left(y4 \cdot b\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   7. Taylor expanded in j around inf 30.3%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]

   if 5.8000000000000003e120 < y2 < 1.31999999999999999e174

   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 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 a around 0 49.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y5 around inf 41.6%

      \[\leadsto \color{blue}{-1 \cdot \left(k \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 41.6%

         \[\leadsto \color{blue}{\left(-1 \cdot k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

      2. neg-mul-1 41.6%

         \[\leadsto \color{blue}{\left(-k\right)} \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right) \]

   7. Simplified 41.6%

      \[\leadsto \color{blue}{\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)} \]

   if 3.7000000000000003e194 < y2

   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 y2 around inf 61.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 67.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 67.2%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 67.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around 0 52.0%

      \[\leadsto t \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot y4\right)\right)} \cdot y2\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 52.0%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c \cdot y4\right)} \cdot y2\right) \]

      2. distribute-rgt-neg-in 52.0%

         \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   9. Simplified 52.0%

      \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   10. Taylor expanded in c around 0 62.3%

       \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 62.3%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   12. Simplified 62.3%

       \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 34.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -3.5 \cdot 10^{+84}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 3.5 \cdot 10^{-147}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y2 \leq 5.8 \cdot 10^{+120}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;y2 \leq 1.32 \cdot 10^{+174}:\\ \;\;\;\;\left(-k\right) \cdot \left(y0 \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y2 \leq 3.7 \cdot 10^{+194}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 30: 22.4% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -4.6 \cdot 10^{+83}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 5.2 \cdot 10^{-148}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.4 \cdot 10^{+100}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(\left(t \cdot y2\right) \cdot \left(-y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -4.6e+83)
   (* k (* y4 (* y1 y2)))
   (if (<= y2 5.2e-148)
     (* a (* (* x y) b))
     (if (<= y2 1.4e+100) (* b (* j (* t y4))) (* c (* (* t y2) (- y4)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -4.6e+83) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= 5.2e-148) {
		tmp = a * ((x * y) * b);
	} else if (y2 <= 1.4e+100) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = c * ((t * y2) * -y4);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-4.6d+83)) then
        tmp = k * (y4 * (y1 * y2))
    else if (y2 <= 5.2d-148) then
        tmp = a * ((x * y) * b)
    else if (y2 <= 1.4d+100) then
        tmp = b * (j * (t * y4))
    else
        tmp = c * ((t * y2) * -y4)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -4.6e+83) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= 5.2e-148) {
		tmp = a * ((x * y) * b);
	} else if (y2 <= 1.4e+100) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = c * ((t * y2) * -y4);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -4.6e+83:
		tmp = k * (y4 * (y1 * y2))
	elif y2 <= 5.2e-148:
		tmp = a * ((x * y) * b)
	elif y2 <= 1.4e+100:
		tmp = b * (j * (t * y4))
	else:
		tmp = c * ((t * y2) * -y4)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -4.6e+83)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (y2 <= 5.2e-148)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (y2 <= 1.4e+100)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	else
		tmp = Float64(c * Float64(Float64(t * y2) * 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)
	tmp = 0.0;
	if (y2 <= -4.6e+83)
		tmp = k * (y4 * (y1 * y2));
	elseif (y2 <= 5.2e-148)
		tmp = a * ((x * y) * b);
	elseif (y2 <= 1.4e+100)
		tmp = b * (j * (t * y4));
	else
		tmp = c * ((t * y2) * -y4);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -4.6e+83], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 5.2e-148], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.4e+100], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(N[(t * y2), $MachinePrecision] * (-y4)), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y2 < -4.5999999999999999e83

   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 y2 around inf 65.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 58.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y1 around inf 48.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 51.6%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 51.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if -4.5999999999999999e83 < y2 < 5.20000000000000015e-148

   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 b around inf 35.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 27.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 27.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right)\right) \]

      2. *-commutative 27.4%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - z \cdot t\right)\right) \]

   6. Simplified 27.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - z \cdot t\right)\right)} \]

   7. Taylor expanded in y around inf 22.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 22.8%

         \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

   9. Simplified 22.8%

      \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

   if 5.20000000000000015e-148 < y2 < 1.3999999999999999e100

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 35.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 34.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 32.4%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 32.4%

         \[\leadsto \color{blue}{\left(y4 \cdot b\right)} \cdot \left(j \cdot t - k \cdot y\right) \]

      3. *-commutative 32.4%

         \[\leadsto \left(y4 \cdot b\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 32.4%

      \[\leadsto \color{blue}{\left(y4 \cdot b\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   7. Taylor expanded in j around inf 28.6%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]

   if 1.3999999999999999e100 < y2

   1. Initial program 28.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in 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 a around 0 53.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in t around inf 34.9%

      \[\leadsto \color{blue}{-1 \cdot \left(c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 34.9%

         \[\leadsto \color{blue}{-c \cdot \left(t \cdot \left(y2 \cdot y4\right)\right)} \]

      2. distribute-rgt-neg-in 34.9%

         \[\leadsto \color{blue}{c \cdot \left(-t \cdot \left(y2 \cdot y4\right)\right)} \]

      3. *-commutative 34.9%

         \[\leadsto c \cdot \left(-\color{blue}{\left(y2 \cdot y4\right) \cdot t}\right) \]

      4. *-commutative 34.9%

         \[\leadsto c \cdot \left(-\color{blue}{\left(y4 \cdot y2\right)} \cdot t\right) \]

      5. associate-*l* 34.8%

         \[\leadsto c \cdot \left(-\color{blue}{y4 \cdot \left(y2 \cdot t\right)}\right) \]

   7. Simplified 34.8%

      \[\leadsto \color{blue}{c \cdot \left(-y4 \cdot \left(y2 \cdot t\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 32.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -4.6 \cdot 10^{+83}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 5.2 \cdot 10^{-148}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.4 \cdot 10^{+100}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(\left(t \cdot y2\right) \cdot \left(-y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 31: 21.9% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -1.6 \cdot 10^{+83}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{-150}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.3 \cdot 10^{+194}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -1.6e+83)
   (* k (* y4 (* y1 y2)))
   (if (<= y2 6.2e-150)
     (* a (* (* x y) b))
     (if (<= y2 1.3e+194) (* b (* j (* t y4))) (* t (* c (* y2 (- y4))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.6e+83) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= 6.2e-150) {
		tmp = a * ((x * y) * b);
	} else if (y2 <= 1.3e+194) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = t * (c * (y2 * -y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-1.6d+83)) then
        tmp = k * (y4 * (y1 * y2))
    else if (y2 <= 6.2d-150) then
        tmp = a * ((x * y) * b)
    else if (y2 <= 1.3d+194) then
        tmp = b * (j * (t * y4))
    else
        tmp = t * (c * (y2 * -y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.6e+83) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= 6.2e-150) {
		tmp = a * ((x * y) * b);
	} else if (y2 <= 1.3e+194) {
		tmp = b * (j * (t * y4));
	} else {
		tmp = t * (c * (y2 * -y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -1.6e+83:
		tmp = k * (y4 * (y1 * y2))
	elif y2 <= 6.2e-150:
		tmp = a * ((x * y) * b)
	elif y2 <= 1.3e+194:
		tmp = b * (j * (t * y4))
	else:
		tmp = t * (c * (y2 * -y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -1.6e+83)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (y2 <= 6.2e-150)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (y2 <= 1.3e+194)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	else
		tmp = Float64(t * Float64(c * Float64(y2 * 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)
	tmp = 0.0;
	if (y2 <= -1.6e+83)
		tmp = k * (y4 * (y1 * y2));
	elseif (y2 <= 6.2e-150)
		tmp = a * ((x * y) * b);
	elseif (y2 <= 1.3e+194)
		tmp = b * (j * (t * y4));
	else
		tmp = t * (c * (y2 * -y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -1.6e+83], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 6.2e-150], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.3e+194], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(t * N[(c * N[(y2 * (-y4)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y2 < -1.5999999999999999e83

   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 y2 around inf 65.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 58.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y1 around inf 48.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 51.6%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 51.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if -1.5999999999999999e83 < y2 < 6.19999999999999996e-150

   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 b around inf 35.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 27.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 27.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right)\right) \]

      2. *-commutative 27.4%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - z \cdot t\right)\right) \]

   6. Simplified 27.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - z \cdot t\right)\right)} \]

   7. Taylor expanded in y around inf 22.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 22.8%

         \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

   9. Simplified 22.8%

      \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

   if 6.19999999999999996e-150 < y2 < 1.2999999999999999e194

   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 34.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 30.4%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 27.9%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 27.9%

         \[\leadsto \color{blue}{\left(y4 \cdot b\right)} \cdot \left(j \cdot t - k \cdot y\right) \]

      3. *-commutative 27.9%

         \[\leadsto \left(y4 \cdot b\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 27.9%

      \[\leadsto \color{blue}{\left(y4 \cdot b\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   7. Taylor expanded in j around inf 26.5%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]

   if 1.2999999999999999e194 < y2

   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 y2 around inf 61.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 67.2%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 67.2%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 67.2%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around 0 52.0%

      \[\leadsto t \cdot \left(\color{blue}{\left(-1 \cdot \left(c \cdot y4\right)\right)} \cdot y2\right) \]
   8. Step-by-step derivation

      1. neg-mul-1 52.0%

         \[\leadsto t \cdot \left(\color{blue}{\left(-c \cdot y4\right)} \cdot y2\right) \]

      2. distribute-rgt-neg-in 52.0%

         \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   9. Simplified 52.0%

      \[\leadsto t \cdot \left(\color{blue}{\left(c \cdot \left(-y4\right)\right)} \cdot y2\right) \]

   10. Taylor expanded in c around 0 62.3%

       \[\leadsto t \cdot \color{blue}{\left(-1 \cdot \left(c \cdot \left(y2 \cdot y4\right)\right)\right)} \]
   11. Step-by-step derivation

       1. mul-1-neg 62.3%

          \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]

   12. Simplified 62.3%

       \[\leadsto t \cdot \color{blue}{\left(-c \cdot \left(y2 \cdot y4\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 32.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.6 \cdot 10^{+83}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 6.2 \cdot 10^{-150}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;y2 \leq 1.3 \cdot 10^{+194}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t \cdot \left(c \cdot \left(y2 \cdot \left(-y4\right)\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 32: 18.7% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;c \leq -2.8 \cdot 10^{-294}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 5.8 \cdot 10^{+60}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= c -2.8e-294)
   (* b (* j (* t y4)))
   (if (<= c 5.8e+60) (* a (* y5 (* t y2))) (* c (* x (* y0 y2))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -2.8e-294) {
		tmp = b * (j * (t * y4));
	} else if (c <= 5.8e+60) {
		tmp = a * (y5 * (t * y2));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (c <= (-2.8d-294)) then
        tmp = b * (j * (t * y4))
    else if (c <= 5.8d+60) then
        tmp = a * (y5 * (t * y2))
    else
        tmp = c * (x * (y0 * y2))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (c <= -2.8e-294) {
		tmp = b * (j * (t * y4));
	} else if (c <= 5.8e+60) {
		tmp = a * (y5 * (t * y2));
	} else {
		tmp = c * (x * (y0 * y2));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if c <= -2.8e-294:
		tmp = b * (j * (t * y4))
	elif c <= 5.8e+60:
		tmp = a * (y5 * (t * y2))
	else:
		tmp = c * (x * (y0 * y2))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (c <= -2.8e-294)
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	elseif (c <= 5.8e+60)
		tmp = Float64(a * Float64(y5 * Float64(t * y2)));
	else
		tmp = Float64(c * Float64(x * Float64(y0 * y2)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (c <= -2.8e-294)
		tmp = b * (j * (t * y4));
	elseif (c <= 5.8e+60)
		tmp = a * (y5 * (t * y2));
	else
		tmp = c * (x * (y0 * y2));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[c, -2.8e-294], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[c, 5.8e+60], N[(a * N[(y5 * N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(c * N[(x * N[(y0 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if c < -2.79999999999999991e-294

   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 b around inf 35.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 28.5%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 27.0%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 27.0%

         \[\leadsto \color{blue}{\left(y4 \cdot b\right)} \cdot \left(j \cdot t - k \cdot y\right) \]

      3. *-commutative 27.0%

         \[\leadsto \left(y4 \cdot b\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 27.0%

      \[\leadsto \color{blue}{\left(y4 \cdot b\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   7. Taylor expanded in j around inf 22.3%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]

   if -2.79999999999999991e-294 < c < 5.79999999999999999e60

   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 44.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 29.6%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 29.6%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 29.6%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around inf 26.3%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 26.3%

         \[\leadsto a \cdot \left(t \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

   9. Simplified 26.3%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

   10. Taylor expanded in a around 0 26.3%

       \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   11. Step-by-step derivation

       1. associate-*r* 27.5%

          \[\leadsto a \cdot \color{blue}{\left(\left(t \cdot y2\right) \cdot y5\right)} \]

   12. Simplified 27.5%

       \[\leadsto \color{blue}{a \cdot \left(\left(t \cdot y2\right) \cdot y5\right)} \]

   if 5.79999999999999999e60 < c

   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 y2 around inf 58.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 60.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in x around inf 45.3%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 45.3%

         \[\leadsto c \cdot \left(x \cdot \color{blue}{\left(y2 \cdot y0\right)}\right) \]

   7. Simplified 45.3%

      \[\leadsto \color{blue}{c \cdot \left(x \cdot \left(y2 \cdot y0\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 28.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;c \leq -2.8 \cdot 10^{-294}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \mathbf{elif}\;c \leq 5.8 \cdot 10^{+60}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;c \cdot \left(x \cdot \left(y0 \cdot y2\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 33: 20.1% accurate, 5.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -2.4 \cdot 10^{+84}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 1.05 \cdot 10^{-147}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -2.4e+84)
   (* k (* y4 (* y1 y2)))
   (if (<= y2 1.05e-147) (* a (* (* x y) b)) (* b (* j (* t y4))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -2.4e+84) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= 1.05e-147) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-2.4d+84)) then
        tmp = k * (y4 * (y1 * y2))
    else if (y2 <= 1.05d-147) then
        tmp = a * ((x * y) * b)
    else
        tmp = b * (j * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -2.4e+84) {
		tmp = k * (y4 * (y1 * y2));
	} else if (y2 <= 1.05e-147) {
		tmp = a * ((x * y) * b);
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -2.4e+84:
		tmp = k * (y4 * (y1 * y2))
	elif y2 <= 1.05e-147:
		tmp = a * ((x * y) * b)
	else:
		tmp = b * (j * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -2.4e+84)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	elseif (y2 <= 1.05e-147)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	else
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -2.4e+84)
		tmp = k * (y4 * (y1 * y2));
	elseif (y2 <= 1.05e-147)
		tmp = a * ((x * y) * b);
	else
		tmp = b * (j * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -2.4e+84], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y2, 1.05e-147], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if y2 < -2.4e84

   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 y2 around inf 65.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 58.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y1 around inf 48.0%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 51.6%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 51.6%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if -2.4e84 < y2 < 1.05e-147

   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 b around inf 35.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in a around inf 27.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 27.4%

         \[\leadsto a \cdot \left(b \cdot \left(x \cdot y - \color{blue}{z \cdot t}\right)\right) \]

      2. *-commutative 27.4%

         \[\leadsto a \cdot \left(b \cdot \left(\color{blue}{y \cdot x} - z \cdot t\right)\right) \]

   6. Simplified 27.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(y \cdot x - z \cdot t\right)\right)} \]

   7. Taylor expanded in y around inf 22.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 22.8%

         \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

   9. Simplified 22.8%

      \[\leadsto \color{blue}{\left(b \cdot \left(x \cdot y\right)\right) \cdot a} \]

   if 1.05e-147 < y2

   1. Initial program 28.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   2. Add Preprocessing

   3. Taylor expanded in b around inf 35.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 32.2%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 30.2%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 30.2%

         \[\leadsto \color{blue}{\left(y4 \cdot b\right)} \cdot \left(j \cdot t - k \cdot y\right) \]

      3. *-commutative 30.2%

         \[\leadsto \left(y4 \cdot b\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 30.2%

      \[\leadsto \color{blue}{\left(y4 \cdot b\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   7. Taylor expanded in j around inf 27.0%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 30.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -2.4 \cdot 10^{+84}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{elif}\;y2 \leq 1.05 \cdot 10^{-147}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 34: 20.3% accurate, 7.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -1.35 \cdot 10^{+47}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -1.35e+47) (* a (* t (* y2 y5))) (* b (* j (* t y4)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.35e+47) {
		tmp = a * (t * (y2 * y5));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-1.35d+47)) then
        tmp = a * (t * (y2 * y5))
    else
        tmp = b * (j * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.35e+47) {
		tmp = a * (t * (y2 * y5));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -1.35e+47:
		tmp = a * (t * (y2 * y5))
	else:
		tmp = b * (j * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -1.35e+47)
		tmp = Float64(a * Float64(t * Float64(y2 * y5)));
	else
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -1.35e+47)
		tmp = a * (t * (y2 * y5));
	else
		tmp = b * (j * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -1.35e+47], N[(a * N[(t * N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y2 < -1.34999999999999998e47

   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 y2 around inf 62.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in t around inf 40.0%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
   5. Step-by-step derivation

      1. *-commutative 40.0%

         \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   6. Simplified 40.0%

      \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

   7. Taylor expanded in a around inf 32.8%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
   8. Step-by-step derivation

      1. *-commutative 32.8%

         \[\leadsto a \cdot \left(t \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

   9. Simplified 32.8%

      \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

   if -1.34999999999999998e47 < y2

   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 35.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 25.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 23.3%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 23.3%

         \[\leadsto \color{blue}{\left(y4 \cdot b\right)} \cdot \left(j \cdot t - k \cdot y\right) \]

      3. *-commutative 23.3%

         \[\leadsto \left(y4 \cdot b\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 23.3%

      \[\leadsto \color{blue}{\left(y4 \cdot b\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   7. Taylor expanded in j around inf 21.8%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 24.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.35 \cdot 10^{+47}:\\ \;\;\;\;a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 35: 20.3% accurate, 7.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -1.1 \cdot 10^{+47}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -1.1e+47) (* k (* y1 (* y2 y4))) (* b (* j (* t y4)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.1e+47) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-1.1d+47)) then
        tmp = k * (y1 * (y2 * y4))
    else
        tmp = b * (j * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.1e+47) {
		tmp = k * (y1 * (y2 * y4));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -1.1e+47:
		tmp = k * (y1 * (y2 * y4))
	else:
		tmp = b * (j * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -1.1e+47)
		tmp = Float64(k * Float64(y1 * Float64(y2 * y4)));
	else
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -1.1e+47)
		tmp = k * (y1 * (y2 * y4));
	else
		tmp = b * (j * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -1.1e+47], N[(k * N[(y1 * N[(y2 * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y2 < -1.1e47

   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 y2 around inf 62.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in y4 around inf 41.8%

      \[\leadsto \color{blue}{y2 \cdot \left(y4 \cdot \left(k \cdot y1 - c \cdot t\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 43.3%

         \[\leadsto \color{blue}{\left(y2 \cdot y4\right) \cdot \left(k \cdot y1 - c \cdot t\right)} \]

      2. *-commutative 43.3%

         \[\leadsto \left(y2 \cdot y4\right) \cdot \left(\color{blue}{y1 \cdot k} - c \cdot t\right) \]

   6. Simplified 43.3%

      \[\leadsto \color{blue}{\left(y2 \cdot y4\right) \cdot \left(y1 \cdot k - c \cdot t\right)} \]

   7. Taylor expanded in y1 around inf 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]

   if -1.1e47 < y2

   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 35.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 25.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 23.3%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 23.3%

         \[\leadsto \color{blue}{\left(y4 \cdot b\right)} \cdot \left(j \cdot t - k \cdot y\right) \]

      3. *-commutative 23.3%

         \[\leadsto \left(y4 \cdot b\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 23.3%

      \[\leadsto \color{blue}{\left(y4 \cdot b\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   7. Taylor expanded in j around inf 21.8%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 27.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.1 \cdot 10^{+47}:\\ \;\;\;\;k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 36: 20.5% accurate, 7.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y2 \leq -1.45 \cdot 10^{+48}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y2 -1.45e+48) (* k (* y4 (* y1 y2))) (* b (* j (* t y4)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.45e+48) {
		tmp = k * (y4 * (y1 * y2));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y2 <= (-1.45d+48)) then
        tmp = k * (y4 * (y1 * y2))
    else
        tmp = b * (j * (t * y4))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y2 <= -1.45e+48) {
		tmp = k * (y4 * (y1 * y2));
	} else {
		tmp = b * (j * (t * y4));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y2 <= -1.45e+48:
		tmp = k * (y4 * (y1 * y2))
	else:
		tmp = b * (j * (t * y4))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y2 <= -1.45e+48)
		tmp = Float64(k * Float64(y4 * Float64(y1 * y2)));
	else
		tmp = Float64(b * Float64(j * Float64(t * y4)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y2 <= -1.45e+48)
		tmp = k * (y4 * (y1 * y2));
	else
		tmp = b * (j * (t * y4));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y2, -1.45e+48], N[(k * N[(y4 * N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(j * N[(t * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if y2 < -1.4499999999999999e48

   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 y2 around inf 62.6%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   4. Taylor expanded in a around 0 54.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(c \cdot \left(x \cdot y0\right) + k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - c \cdot \left(t \cdot y4\right)\right)} \]

   5. Taylor expanded in y1 around inf 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y1 \cdot \left(y2 \cdot y4\right)\right)} \]
   6. Step-by-step derivation

      1. associate-*r* 46.9%

         \[\leadsto k \cdot \color{blue}{\left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   7. Simplified 46.9%

      \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot y2\right) \cdot y4\right)} \]

   if -1.4499999999999999e48 < y2

   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 35.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   4. Taylor expanded in y4 around inf 25.8%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]
   5. Step-by-step derivation

      1. associate-*r* 23.3%

         \[\leadsto \color{blue}{\left(b \cdot y4\right) \cdot \left(j \cdot t - k \cdot y\right)} \]

      2. *-commutative 23.3%

         \[\leadsto \color{blue}{\left(y4 \cdot b\right)} \cdot \left(j \cdot t - k \cdot y\right) \]

      3. *-commutative 23.3%

         \[\leadsto \left(y4 \cdot b\right) \cdot \left(j \cdot t - \color{blue}{y \cdot k}\right) \]

   6. Simplified 23.3%

      \[\leadsto \color{blue}{\left(y4 \cdot b\right) \cdot \left(j \cdot t - y \cdot k\right)} \]

   7. Taylor expanded in j around inf 21.8%

      \[\leadsto \color{blue}{b \cdot \left(j \cdot \left(t \cdot y4\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 27.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y2 \leq -1.45 \cdot 10^{+48}:\\ \;\;\;\;k \cdot \left(y4 \cdot \left(y1 \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(j \cdot \left(t \cdot y4\right)\right)\\ \end{array} \]
5. Add Preprocessing

Alternative 37: 17.8% 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 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 41.8%

   \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

4. Taylor expanded in t around inf 28.8%

   \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]
5. Step-by-step derivation

   1. *-commutative 28.8%

      \[\leadsto t \cdot \color{blue}{\left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

6. Simplified 28.8%

   \[\leadsto \color{blue}{t \cdot \left(\left(a \cdot y5 - c \cdot y4\right) \cdot y2\right)} \]

7. Taylor expanded in a around inf 16.8%

   \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right)} \]
8. Step-by-step derivation

   1. *-commutative 16.8%

      \[\leadsto a \cdot \left(t \cdot \color{blue}{\left(y5 \cdot y2\right)}\right) \]

9. Simplified 16.8%

   \[\leadsto \color{blue}{a \cdot \left(t \cdot \left(y5 \cdot y2\right)\right)} \]

10. Final simplification 16.8%

    \[\leadsto a \cdot \left(t \cdot \left(y2 \cdot y5\right)\right) \]
11. Add Preprocessing

Developer target: 27.6% accurate, 0.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t\_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t\_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t\_9\\ t_11 := t\_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t\_4 \cdot t\_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t\_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t\_3 \cdot t\_1 - t\_14\right)\right) + \left(t\_8 - \left(t\_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t\_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t\_13\right)\right) + \left(t\_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t\_10 - \left(y \cdot x - z \cdot t\right) \cdot t\_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t\_8 - \left(t\_11 - t\_6\right)\right) - \left(\frac{t\_3}{\frac{1}{t\_1}} - t\_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t\_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t\_2 - \left(t\_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t\_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t\_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t\_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t\_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t\_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t\_5\right) - t\_17 \cdot t\_1\right) + t\_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2024031 
(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
  :name "Linear.Matrix:det44 from linear-1.19.1.3"
  :precision binary64

  :herbie-target
  (if (< y4 -7.206256231996481e+60) (- (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))))) (- (/ (- (* y2 t) (* y3 y)) (/ 1.0 (- (* y4 c) (* y5 a)))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (if (< y4 -3.364603505246317e-66) (+ (- (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x))) (* (- (* b y0) (* i y1)) (- (* j x) (* k z)))) (- (* (- (* y0 c) (* a y1)) (- (* x y2) (* z y3))) (- (* (- (* t y2) (* y y3)) (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) (- (* k y2) (* j y3)))))) (if (< y4 -1.2000065055686116e-105) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 6.718963124057495e-279) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (if (< y4 4.77962681403792e-222) (+ (+ (- (* (- (* j t) (* k y)) (- (* y4 b) (* y5 i))) (* (* y3 y) (- (* y5 a) (* y4 c)))) (+ (* (* y5 a) (* t y2)) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* x y2) (* z y3)) (- (* c y0) (* a y1))) (- (* (- (* b y0) (* i y1)) (- (* j x) (* k z))) (* (- (* y x) (* z t)) (- (* b a) (* i c)))))) (if (< y4 2.2852241541266835e-175) (+ (- (- (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k))) (* (* y5 t) (* i j))) (- (* (- (* y2 t) (* y3 y)) (- (* y4 c) (* y5 a))) (* (- (* y2 k) (* y3 j)) (- (* y4 y1) (* y5 y0))))) (- (* (- (* b a) (* i c)) (- (* y x) (* t z))) (- (* (- (* j x) (* k z)) (- (* y0 b) (* i y1))) (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))) (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (- (* k (* i (* z y1))) (+ (* j (* i (* x y1))) (* y0 (* k (* z b)))))) (- (* z (* y3 (* a y1))) (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3)))))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0))))))))))

  (+ (- (+ (+ (- (* (- (* x y) (* z t)) (- (* a b) (* c i))) (* (- (* x j) (* z k)) (- (* y0 b) (* y1 i)))) (* (- (* x y2) (* z y3)) (- (* y0 c) (* y1 a)))) (* (- (* t j) (* y k)) (- (* y4 b) (* y5 i)))) (* (- (* t y2) (* y y3)) (- (* y4 c) (* y5 a)))) (* (- (* k y2) (* j y3)) (- (* y4 y1) (* y5 y0)))))