Linear.Matrix:det44 from linear-1.19.1.3

Percentage Accurate: 30.5% → 38.6%

Time: 2.3min

Alternatives: 39

Speedup: 4.5×

• 87.9% 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: 30.5% accurate, 1.0× speedup

Math

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

FPCore

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

C

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

Fortran

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

Java

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

Python

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

Julia

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

MATLAB

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

Wolfram

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

Alternative 1: 38.6% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot k - x \cdot j\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ t_3 := z \cdot y3 - x \cdot y2\\ t_4 := x \cdot j - z \cdot k\\ t_5 := z \cdot t - x \cdot y\\ t_6 := a \cdot y5 - c \cdot y4\\ t_7 := x \cdot y2 - z \cdot y3\\ t_8 := y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\\ t_9 := y \cdot k - t \cdot j\\ t_10 := c \cdot y0 - a \cdot y1\\ t_11 := y2 \cdot t_10\\ t_12 := i \cdot \left(y1 \cdot t_4 + \left(c \cdot t_5 + y5 \cdot t_9\right)\right)\\ t_13 := b \cdot t_1\\ t_14 := y0 \cdot \left(\left(c \cdot t_7 + t_8\right) + t_13\right)\\ \mathbf{if}\;a \leq -6.6 \cdot 10^{+76}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y1 \cdot t_3 - b \cdot t_5\right)\right)\\ \mathbf{elif}\;a \leq -2.2 \cdot 10^{+23}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{-73}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot t_7 + i \cdot t_5\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -4.6 \cdot 10^{-99}:\\ \;\;\;\;k \cdot \left(y2 \cdot t_2\right)\\ \mathbf{elif}\;a \leq -7.8 \cdot 10^{-218}:\\ \;\;\;\;t_14\\ \mathbf{elif}\;a \leq -2.6 \cdot 10^{-260}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + t_11\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{-283}:\\ \;\;\;\;t_14\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-189}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot t_1\right)\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{-127}:\\ \;\;\;\;t_12\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-107}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot t_2 + x \cdot t_10\right) + t \cdot t_6\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-32}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot t_9\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{+29}:\\ \;\;\;\;t \cdot \left(y2 \cdot t_6\right)\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+81}:\\ \;\;\;\;y1 \cdot \left(i \cdot t_4 + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot t_3\right)\right)\\ \mathbf{elif}\;a \leq 2.05 \cdot 10^{+173}:\\ \;\;\;\;y0 \cdot \left(t_8 + t_13\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot t_11\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* z k) (* x j)))
        (t_2 (- (* y1 y4) (* y0 y5)))
        (t_3 (- (* z y3) (* x y2)))
        (t_4 (- (* x j) (* z k)))
        (t_5 (- (* z t) (* x y)))
        (t_6 (- (* a y5) (* c y4)))
        (t_7 (- (* x y2) (* z y3)))
        (t_8 (* y5 (- (* j y3) (* k y2))))
        (t_9 (- (* y k) (* t j)))
        (t_10 (- (* c y0) (* a y1)))
        (t_11 (* y2 t_10))
        (t_12 (* i (+ (* y1 t_4) (+ (* c t_5) (* y5 t_9)))))
        (t_13 (* b t_1))
        (t_14 (* y0 (+ (+ (* c t_7) t_8) t_13))))
   (if (<= a -6.6e+76)
     (* a (+ (* y5 (- (* t y2) (* y y3))) (- (* y1 t_3) (* b t_5))))
     (if (<= a -2.2e+23)
       t_12
       (if (<= a -2.3e-73)
         (* c (+ (+ (* y0 t_7) (* i t_5)) (* y4 (- (* y y3) (* t y2)))))
         (if (<= a -4.6e-99)
           (* k (* y2 t_2))
           (if (<= a -7.8e-218)
             t_14
             (if (<= a -2.6e-260)
               (*
                x
                (+
                 (+ (* y (- (* a b) (* c i))) t_11)
                 (* j (- (* i y1) (* b y0)))))
               (if (<= a 9.5e-283)
                 t_14
                 (if (<= a 1.75e-189)
                   (*
                    b
                    (+
                     (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
                     (* y0 t_1)))
                   (if (<= a 1.15e-127)
                     t_12
                     (if (<= a 1.05e-107)
                       (* y2 (+ (+ (* k t_2) (* x t_10)) (* t t_6)))
                       (if (<= a 1.1e-32)
                         (* (* i y5) t_9)
                         (if (<= a 1.25e+29)
                           (* t (* y2 t_6))
                           (if (<= a 5.4e+81)
                             (*
                              y1
                              (+
                               (* i t_4)
                               (+ (* y4 (- (* k y2) (* j y3))) (* a t_3))))
                             (if (<= a 2.05e+173)
                               (* y0 (+ t_8 t_13))
                               (* x t_11)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (z * k) - (x * j);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (z * y3) - (x * y2);
	double t_4 = (x * j) - (z * k);
	double t_5 = (z * t) - (x * y);
	double t_6 = (a * y5) - (c * y4);
	double t_7 = (x * y2) - (z * y3);
	double t_8 = y5 * ((j * y3) - (k * y2));
	double t_9 = (y * k) - (t * j);
	double t_10 = (c * y0) - (a * y1);
	double t_11 = y2 * t_10;
	double t_12 = i * ((y1 * t_4) + ((c * t_5) + (y5 * t_9)));
	double t_13 = b * t_1;
	double t_14 = y0 * (((c * t_7) + t_8) + t_13);
	double tmp;
	if (a <= -6.6e+76) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + ((y1 * t_3) - (b * t_5)));
	} else if (a <= -2.2e+23) {
		tmp = t_12;
	} else if (a <= -2.3e-73) {
		tmp = c * (((y0 * t_7) + (i * t_5)) + (y4 * ((y * y3) - (t * y2))));
	} else if (a <= -4.6e-99) {
		tmp = k * (y2 * t_2);
	} else if (a <= -7.8e-218) {
		tmp = t_14;
	} else if (a <= -2.6e-260) {
		tmp = x * (((y * ((a * b) - (c * i))) + t_11) + (j * ((i * y1) - (b * y0))));
	} else if (a <= 9.5e-283) {
		tmp = t_14;
	} else if (a <= 1.75e-189) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	} else if (a <= 1.15e-127) {
		tmp = t_12;
	} else if (a <= 1.05e-107) {
		tmp = y2 * (((k * t_2) + (x * t_10)) + (t * t_6));
	} else if (a <= 1.1e-32) {
		tmp = (i * y5) * t_9;
	} else if (a <= 1.25e+29) {
		tmp = t * (y2 * t_6);
	} else if (a <= 5.4e+81) {
		tmp = y1 * ((i * t_4) + ((y4 * ((k * y2) - (j * y3))) + (a * t_3)));
	} else if (a <= 2.05e+173) {
		tmp = y0 * (t_8 + t_13);
	} else {
		tmp = x * t_11;
	}
	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_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 = (z * k) - (x * j)
    t_2 = (y1 * y4) - (y0 * y5)
    t_3 = (z * y3) - (x * y2)
    t_4 = (x * j) - (z * k)
    t_5 = (z * t) - (x * y)
    t_6 = (a * y5) - (c * y4)
    t_7 = (x * y2) - (z * y3)
    t_8 = y5 * ((j * y3) - (k * y2))
    t_9 = (y * k) - (t * j)
    t_10 = (c * y0) - (a * y1)
    t_11 = y2 * t_10
    t_12 = i * ((y1 * t_4) + ((c * t_5) + (y5 * t_9)))
    t_13 = b * t_1
    t_14 = y0 * (((c * t_7) + t_8) + t_13)
    if (a <= (-6.6d+76)) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + ((y1 * t_3) - (b * t_5)))
    else if (a <= (-2.2d+23)) then
        tmp = t_12
    else if (a <= (-2.3d-73)) then
        tmp = c * (((y0 * t_7) + (i * t_5)) + (y4 * ((y * y3) - (t * y2))))
    else if (a <= (-4.6d-99)) then
        tmp = k * (y2 * t_2)
    else if (a <= (-7.8d-218)) then
        tmp = t_14
    else if (a <= (-2.6d-260)) then
        tmp = x * (((y * ((a * b) - (c * i))) + t_11) + (j * ((i * y1) - (b * y0))))
    else if (a <= 9.5d-283) then
        tmp = t_14
    else if (a <= 1.75d-189) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1))
    else if (a <= 1.15d-127) then
        tmp = t_12
    else if (a <= 1.05d-107) then
        tmp = y2 * (((k * t_2) + (x * t_10)) + (t * t_6))
    else if (a <= 1.1d-32) then
        tmp = (i * y5) * t_9
    else if (a <= 1.25d+29) then
        tmp = t * (y2 * t_6)
    else if (a <= 5.4d+81) then
        tmp = y1 * ((i * t_4) + ((y4 * ((k * y2) - (j * y3))) + (a * t_3)))
    else if (a <= 2.05d+173) then
        tmp = y0 * (t_8 + t_13)
    else
        tmp = x * t_11
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (z * k) - (x * j);
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (z * y3) - (x * y2);
	double t_4 = (x * j) - (z * k);
	double t_5 = (z * t) - (x * y);
	double t_6 = (a * y5) - (c * y4);
	double t_7 = (x * y2) - (z * y3);
	double t_8 = y5 * ((j * y3) - (k * y2));
	double t_9 = (y * k) - (t * j);
	double t_10 = (c * y0) - (a * y1);
	double t_11 = y2 * t_10;
	double t_12 = i * ((y1 * t_4) + ((c * t_5) + (y5 * t_9)));
	double t_13 = b * t_1;
	double t_14 = y0 * (((c * t_7) + t_8) + t_13);
	double tmp;
	if (a <= -6.6e+76) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + ((y1 * t_3) - (b * t_5)));
	} else if (a <= -2.2e+23) {
		tmp = t_12;
	} else if (a <= -2.3e-73) {
		tmp = c * (((y0 * t_7) + (i * t_5)) + (y4 * ((y * y3) - (t * y2))));
	} else if (a <= -4.6e-99) {
		tmp = k * (y2 * t_2);
	} else if (a <= -7.8e-218) {
		tmp = t_14;
	} else if (a <= -2.6e-260) {
		tmp = x * (((y * ((a * b) - (c * i))) + t_11) + (j * ((i * y1) - (b * y0))));
	} else if (a <= 9.5e-283) {
		tmp = t_14;
	} else if (a <= 1.75e-189) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	} else if (a <= 1.15e-127) {
		tmp = t_12;
	} else if (a <= 1.05e-107) {
		tmp = y2 * (((k * t_2) + (x * t_10)) + (t * t_6));
	} else if (a <= 1.1e-32) {
		tmp = (i * y5) * t_9;
	} else if (a <= 1.25e+29) {
		tmp = t * (y2 * t_6);
	} else if (a <= 5.4e+81) {
		tmp = y1 * ((i * t_4) + ((y4 * ((k * y2) - (j * y3))) + (a * t_3)));
	} else if (a <= 2.05e+173) {
		tmp = y0 * (t_8 + t_13);
	} else {
		tmp = x * t_11;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (z * k) - (x * j)
	t_2 = (y1 * y4) - (y0 * y5)
	t_3 = (z * y3) - (x * y2)
	t_4 = (x * j) - (z * k)
	t_5 = (z * t) - (x * y)
	t_6 = (a * y5) - (c * y4)
	t_7 = (x * y2) - (z * y3)
	t_8 = y5 * ((j * y3) - (k * y2))
	t_9 = (y * k) - (t * j)
	t_10 = (c * y0) - (a * y1)
	t_11 = y2 * t_10
	t_12 = i * ((y1 * t_4) + ((c * t_5) + (y5 * t_9)))
	t_13 = b * t_1
	t_14 = y0 * (((c * t_7) + t_8) + t_13)
	tmp = 0
	if a <= -6.6e+76:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + ((y1 * t_3) - (b * t_5)))
	elif a <= -2.2e+23:
		tmp = t_12
	elif a <= -2.3e-73:
		tmp = c * (((y0 * t_7) + (i * t_5)) + (y4 * ((y * y3) - (t * y2))))
	elif a <= -4.6e-99:
		tmp = k * (y2 * t_2)
	elif a <= -7.8e-218:
		tmp = t_14
	elif a <= -2.6e-260:
		tmp = x * (((y * ((a * b) - (c * i))) + t_11) + (j * ((i * y1) - (b * y0))))
	elif a <= 9.5e-283:
		tmp = t_14
	elif a <= 1.75e-189:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1))
	elif a <= 1.15e-127:
		tmp = t_12
	elif a <= 1.05e-107:
		tmp = y2 * (((k * t_2) + (x * t_10)) + (t * t_6))
	elif a <= 1.1e-32:
		tmp = (i * y5) * t_9
	elif a <= 1.25e+29:
		tmp = t * (y2 * t_6)
	elif a <= 5.4e+81:
		tmp = y1 * ((i * t_4) + ((y4 * ((k * y2) - (j * y3))) + (a * t_3)))
	elif a <= 2.05e+173:
		tmp = y0 * (t_8 + t_13)
	else:
		tmp = x * t_11
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(z * k) - Float64(x * j))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_3 = Float64(Float64(z * y3) - Float64(x * y2))
	t_4 = Float64(Float64(x * j) - Float64(z * k))
	t_5 = Float64(Float64(z * t) - Float64(x * y))
	t_6 = Float64(Float64(a * y5) - Float64(c * y4))
	t_7 = Float64(Float64(x * y2) - Float64(z * y3))
	t_8 = Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))
	t_9 = Float64(Float64(y * k) - Float64(t * j))
	t_10 = Float64(Float64(c * y0) - Float64(a * y1))
	t_11 = Float64(y2 * t_10)
	t_12 = Float64(i * Float64(Float64(y1 * t_4) + Float64(Float64(c * t_5) + Float64(y5 * t_9))))
	t_13 = Float64(b * t_1)
	t_14 = Float64(y0 * Float64(Float64(Float64(c * t_7) + t_8) + t_13))
	tmp = 0.0
	if (a <= -6.6e+76)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(y1 * t_3) - Float64(b * t_5))));
	elseif (a <= -2.2e+23)
		tmp = t_12;
	elseif (a <= -2.3e-73)
		tmp = Float64(c * Float64(Float64(Float64(y0 * t_7) + Float64(i * t_5)) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (a <= -4.6e-99)
		tmp = Float64(k * Float64(y2 * t_2));
	elseif (a <= -7.8e-218)
		tmp = t_14;
	elseif (a <= -2.6e-260)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + t_11) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (a <= 9.5e-283)
		tmp = t_14;
	elseif (a <= 1.75e-189)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * t_1)));
	elseif (a <= 1.15e-127)
		tmp = t_12;
	elseif (a <= 1.05e-107)
		tmp = Float64(y2 * Float64(Float64(Float64(k * t_2) + Float64(x * t_10)) + Float64(t * t_6)));
	elseif (a <= 1.1e-32)
		tmp = Float64(Float64(i * y5) * t_9);
	elseif (a <= 1.25e+29)
		tmp = Float64(t * Float64(y2 * t_6));
	elseif (a <= 5.4e+81)
		tmp = Float64(y1 * Float64(Float64(i * t_4) + Float64(Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))) + Float64(a * t_3))));
	elseif (a <= 2.05e+173)
		tmp = Float64(y0 * Float64(t_8 + t_13));
	else
		tmp = Float64(x * t_11);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (z * k) - (x * j);
	t_2 = (y1 * y4) - (y0 * y5);
	t_3 = (z * y3) - (x * y2);
	t_4 = (x * j) - (z * k);
	t_5 = (z * t) - (x * y);
	t_6 = (a * y5) - (c * y4);
	t_7 = (x * y2) - (z * y3);
	t_8 = y5 * ((j * y3) - (k * y2));
	t_9 = (y * k) - (t * j);
	t_10 = (c * y0) - (a * y1);
	t_11 = y2 * t_10;
	t_12 = i * ((y1 * t_4) + ((c * t_5) + (y5 * t_9)));
	t_13 = b * t_1;
	t_14 = y0 * (((c * t_7) + t_8) + t_13);
	tmp = 0.0;
	if (a <= -6.6e+76)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + ((y1 * t_3) - (b * t_5)));
	elseif (a <= -2.2e+23)
		tmp = t_12;
	elseif (a <= -2.3e-73)
		tmp = c * (((y0 * t_7) + (i * t_5)) + (y4 * ((y * y3) - (t * y2))));
	elseif (a <= -4.6e-99)
		tmp = k * (y2 * t_2);
	elseif (a <= -7.8e-218)
		tmp = t_14;
	elseif (a <= -2.6e-260)
		tmp = x * (((y * ((a * b) - (c * i))) + t_11) + (j * ((i * y1) - (b * y0))));
	elseif (a <= 9.5e-283)
		tmp = t_14;
	elseif (a <= 1.75e-189)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	elseif (a <= 1.15e-127)
		tmp = t_12;
	elseif (a <= 1.05e-107)
		tmp = y2 * (((k * t_2) + (x * t_10)) + (t * t_6));
	elseif (a <= 1.1e-32)
		tmp = (i * y5) * t_9;
	elseif (a <= 1.25e+29)
		tmp = t * (y2 * t_6);
	elseif (a <= 5.4e+81)
		tmp = y1 * ((i * t_4) + ((y4 * ((k * y2) - (j * y3))) + (a * t_3)));
	elseif (a <= 2.05e+173)
		tmp = y0 * (t_8 + t_13);
	else
		tmp = x * t_11;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $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[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(y2 * t$95$10), $MachinePrecision]}, Block[{t$95$12 = N[(i * N[(N[(y1 * t$95$4), $MachinePrecision] + N[(N[(c * t$95$5), $MachinePrecision] + N[(y5 * t$95$9), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(b * t$95$1), $MachinePrecision]}, Block[{t$95$14 = N[(y0 * N[(N[(N[(c * t$95$7), $MachinePrecision] + t$95$8), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -6.6e+76], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y1 * t$95$3), $MachinePrecision] - N[(b * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2.2e+23], t$95$12, If[LessEqual[a, -2.3e-73], N[(c * N[(N[(N[(y0 * t$95$7), $MachinePrecision] + N[(i * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.6e-99], N[(k * N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -7.8e-218], t$95$14, If[LessEqual[a, -2.6e-260], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$11), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 9.5e-283], t$95$14, If[LessEqual[a, 1.75e-189], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.15e-127], t$95$12, If[LessEqual[a, 1.05e-107], N[(y2 * N[(N[(N[(k * t$95$2), $MachinePrecision] + N[(x * t$95$10), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.1e-32], N[(N[(i * y5), $MachinePrecision] * t$95$9), $MachinePrecision], If[LessEqual[a, 1.25e+29], N[(t * N[(y2 * t$95$6), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 5.4e+81], N[(y1 * N[(N[(i * t$95$4), $MachinePrecision] + N[(N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(a * t$95$3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.05e+173], N[(y0 * N[(t$95$8 + t$95$13), $MachinePrecision]), $MachinePrecision], N[(x * t$95$11), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 13 regimes

2. if a < -6.6000000000000001e76

   1. Initial program 17.7%

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

   2. Taylor expanded in a around -inf 61.2%

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

      1. mul-1-neg 61.2%

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

      2. *-commutative 61.2%

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

      3. distribute-rgt-neg-in 61.2%

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

   4. Simplified 61.2%

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

   if -6.6000000000000001e76 < a < -2.20000000000000008e23 or 1.7500000000000001e-189 < a < 1.15000000000000009e-127

   1. Initial program 42.0%

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

   2. Taylor expanded in i around -inf 79.6%

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

   if -2.20000000000000008e23 < a < -2.29999999999999988e-73

   1. Initial program 55.5%

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

   2. Taylor expanded in c around inf 62.1%

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

      1. +-commutative 62.1%

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

      2. mul-1-neg 62.1%

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

      3. unsub-neg 62.1%

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

      4. *-commutative 62.1%

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

      5. *-commutative 62.1%

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

      6. *-commutative 62.1%

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

      7. *-commutative 62.1%

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

   4. Simplified 62.1%

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

   if -2.29999999999999988e-73 < a < -4.5999999999999997e-99

   1. Initial program 0.0%

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

   2. Taylor expanded in y2 around inf 60.0%

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

   3. Taylor expanded in k around inf 80.2%

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

      1. *-commutative 80.2%

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

      2. *-commutative 80.2%

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

   5. Simplified 80.2%

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

   if -4.5999999999999997e-99 < a < -7.8e-218 or -2.59999999999999994e-260 < a < 9.49999999999999979e-283

   1. Initial program 38.7%

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

   2. Taylor expanded in y0 around inf 65.8%

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

      1. +-commutative 65.8%

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

      2. mul-1-neg 65.8%

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

      3. unsub-neg 65.8%

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

      4. *-commutative 65.8%

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

      5. *-commutative 65.8%

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

      6. *-commutative 65.8%

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

      7. *-commutative 65.8%

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

   4. Simplified 65.8%

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

   if -7.8e-218 < a < -2.59999999999999994e-260

   1. Initial program 55.6%

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

   2. Taylor expanded in x around inf 89.0%

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

   if 9.49999999999999979e-283 < a < 1.7500000000000001e-189

   1. Initial program 29.0%

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

   2. Taylor expanded in b around inf 51.9%

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

   if 1.15000000000000009e-127 < a < 1.05e-107

   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. Taylor expanded in y2 around inf 100.0%

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

   if 1.05e-107 < a < 1.1e-32

   1. Initial program 25.0%

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

   2. Taylor expanded in y5 around -inf 59.4%

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

   3. Taylor expanded in i around inf 75.4%

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

      1. cancel-sign-sub-inv 75.4%

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

      2. fma-udef 75.4%

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

      3. associate-*r* 83.4%

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

      4. fma-udef 83.4%

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

      5. cancel-sign-sub-inv 83.4%

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

   5. Simplified 83.4%

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

   if 1.1e-32 < a < 1.25e29

   1. Initial program 14.8%

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

   2. Taylor expanded in y2 around inf 57.5%

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

   3. Taylor expanded in t around inf 71.8%

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

   if 1.25e29 < a < 5.3999999999999999e81

   1. Initial program 15.2%

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

   2. Taylor expanded in y1 around -inf 58.2%

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

      1. mul-1-neg 58.2%

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

      2. *-commutative 58.2%

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

      3. distribute-rgt-neg-in 58.2%

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

   4. Simplified 58.2%

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

   if 5.3999999999999999e81 < a < 2.04999999999999988e173

   1. Initial program 35.0%

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

   2. Taylor expanded in y0 around inf 60.5%

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

      1. +-commutative 60.5%

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

      2. mul-1-neg 60.5%

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

      3. unsub-neg 60.5%

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

      4. *-commutative 60.5%

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

      5. *-commutative 60.5%

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

      6. *-commutative 60.5%

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

      7. *-commutative 60.5%

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

   4. Simplified 60.5%

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

   5. Taylor expanded in c around 0 65.6%

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

      1. mul-1-neg 65.6%

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

      2. distribute-rgt-neg-in 65.6%

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

      3. *-commutative 65.6%

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

      4. *-commutative 65.6%

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

      5. distribute-neg-in 65.6%

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

      6. unsub-neg 65.6%

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

      7. distribute-rgt-neg-in 65.6%

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

      8. neg-sub0 65.6%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(0 - \left(x \cdot j - z \cdot k\right)\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      9. associate-+l- 65.6%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(\left(0 - x \cdot j\right) + z \cdot k\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      10. neg-sub0 65.6%

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

      11. +-commutative 65.6%

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

      12. sub-neg 65.6%

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

      13. sub-neg 65.6%

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

   7. Simplified 65.6%

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

   if 2.04999999999999988e173 < a

   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. Taylor expanded in y2 around inf 44.2%

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

   3. Taylor expanded in x around inf 64.3%

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

      1. *-commutative 64.3%

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

   5. Simplified 64.3%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]
3. Recombined 13 regimes into one program.

4. Final simplification 66.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -6.6 \cdot 10^{+76}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) - b \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;a \leq -2.2 \cdot 10^{+23}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;a \leq -2.3 \cdot 10^{-73}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -4.6 \cdot 10^{-99}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -7.8 \cdot 10^{-218}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq -2.6 \cdot 10^{-260}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 9.5 \cdot 10^{-283}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 1.75 \cdot 10^{-189}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{-127}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;a \leq 1.05 \cdot 10^{-107}:\\ \;\;\;\;y2 \cdot \left(\left(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}\;a \leq 1.1 \cdot 10^{-32}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{+29}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 5.4 \cdot 10^{+81}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;a \leq 2.05 \cdot 10^{+173}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 2: 53.4% accurate, 0.5× speedup

Math

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

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* z k) (* x j)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3
         (+
          (+
           (+
            (+
             (+
              (* (- (* a b) (* c i)) (- (* x y) (* z t)))
              (* (- (* b y0) (* i y1)) t_1))
             (* t_2 (- (* c y0) (* a y1))))
            (* (- (* b y4) (* i y5)) (- (* t j) (* y k))))
           (* (- (* t y2) (* y y3)) (- (* a y5) (* c y4))))
          (* (- (* y1 y4) (* y0 y5)) (- (* k y2) (* j y3))))))
   (if (<= t_3 INFINITY)
     t_3
     (* y0 (+ (+ (* c t_2) (* y5 (- (* j y3) (* k y2)))) (* b t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (z * k) - (x * j);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * t_1)) + (t_2 * ((c * y0) - (a * y1)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((y1 * y4) - (y0 * y5)) * ((k * y2) - (j * y3)));
	double tmp;
	if (t_3 <= ((double) INFINITY)) {
		tmp = t_3;
	} else {
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * 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 = (z * k) - (x * j);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * t_1)) + (t_2 * ((c * y0) - (a * y1)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((y1 * y4) - (y0 * y5)) * ((k * y2) - (j * y3)));
	double tmp;
	if (t_3 <= Double.POSITIVE_INFINITY) {
		tmp = t_3;
	} else {
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * 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 = (z * k) - (x * j)
	t_2 = (x * y2) - (z * y3)
	t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * t_1)) + (t_2 * ((c * y0) - (a * y1)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((y1 * y4) - (y0 * y5)) * ((k * y2) - (j * y3)))
	tmp = 0
	if t_3 <= math.inf:
		tmp = t_3
	else:
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * 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(z * k) - Float64(x * j))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(a * b) - Float64(c * i)) * Float64(Float64(x * y) - Float64(z * t))) + Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_1)) + Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(Float64(Float64(b * y4) - Float64(i * y5)) * Float64(Float64(t * j) - Float64(y * k)))) + Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(Float64(a * y5) - Float64(c * y4)))) + Float64(Float64(Float64(y1 * y4) - Float64(y0 * y5)) * Float64(Float64(k * y2) - Float64(j * y3))))
	tmp = 0.0
	if (t_3 <= Inf)
		tmp = t_3;
	else
		tmp = Float64(y0 * Float64(Float64(Float64(c * t_2) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * 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 = (z * k) - (x * j);
	t_2 = (x * y2) - (z * y3);
	t_3 = (((((((a * b) - (c * i)) * ((x * y) - (z * t))) + (((b * y0) - (i * y1)) * t_1)) + (t_2 * ((c * y0) - (a * y1)))) + (((b * y4) - (i * y5)) * ((t * j) - (y * k)))) + (((t * y2) - (y * y3)) * ((a * y5) - (c * y4)))) + (((y1 * y4) - (y0 * y5)) * ((k * y2) - (j * y3)));
	tmp = 0.0;
	if (t_3 <= Inf)
		tmp = t_3;
	else
		tmp = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * 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[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(N[(N[(N[(N[(N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(b * y4), $MachinePrecision] - N[(i * y5), $MachinePrecision]), $MachinePrecision] * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision] * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t$95$3, Infinity], t$95$3, N[(y0 * N[(N[(N[(c * t$95$2), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$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 93.1%

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

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

   1. Initial program 0.0%

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

   2. Taylor expanded in y0 around inf 42.2%

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

      1. +-commutative 42.2%

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

      2. mul-1-neg 42.2%

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

      3. unsub-neg 42.2%

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

      4. *-commutative 42.2%

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

      5. *-commutative 42.2%

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

      6. *-commutative 42.2%

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

      7. *-commutative 42.2%

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

   4. Simplified 42.2%

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

4. Final simplification 59.3%

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

Alternative 3: 38.1% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ t_2 := y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ t_3 := y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\\ t_4 := c \cdot \left(\left(t_3 + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ t_5 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;x \leq -2.4 \cdot 10^{+177}:\\ \;\;\;\;c \cdot t_3\\ \mathbf{elif}\;x \leq -4.8 \cdot 10^{+80}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq -2.6 \cdot 10^{-39}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq -1.26 \cdot 10^{-110}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -6.5 \cdot 10^{-219}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq -1.7 \cdot 10^{-269}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-300}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - a \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{-282}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;x \leq 4.6 \cdot 10^{-272}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.85 \cdot 10^{-239}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-118}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 2.45 \cdot 10^{-89}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 2.6 \cdot 10^{-70}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;x \leq 4.4 \cdot 10^{+55}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* k (- (* z y0) (* y y4)))))
        (t_2
         (*
          y5
          (+ (- (* j (* y0 y3)) (* i (* t j))) (* a (- (* t y2) (* y y3))))))
        (t_3 (* y0 (- (* x y2) (* z y3))))
        (t_4
         (*
          c
          (+ (+ t_3 (* i (- (* z t) (* x y)))) (* y4 (- (* y y3) (* t y2))))))
        (t_5
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j)))))))
   (if (<= x -2.4e+177)
     (* c t_3)
     (if (<= x -4.8e+80)
       (* a (* y2 (- (* t y5) (* x y1))))
       (if (<= x -2.6e-39)
         t_4
         (if (<= x -1.26e-110)
           t_5
           (if (<= x -6.5e-219)
             t_2
             (if (<= x -1.7e-269)
               t_5
               (if (<= x 1.25e-300)
                 (+
                  (* (* k y2) (- (* y1 y4) (* y0 y5)))
                  (* y1 (- (* i (- (* x j) (* z k))) (* a (* x y2)))))
                 (if (<= x 2e-282)
                   t_2
                   (if (<= x 4.6e-272)
                     t_1
                     (if (<= x 1.85e-239)
                       (* (* i y5) (- (* y k) (* t j)))
                       (if (<= x 1.15e-118)
                         t_4
                         (if (<= x 2.45e-89)
                           t_1
                           (if (<= x 2.6e-70)
                             t_4
                             (if (<= x 4.4e+55)
                               t_5
                               (*
                                x
                                (+
                                 (+
                                  (* y (- (* a b) (* c i)))
                                  (* y2 (- (* c y0) (* a y1))))
                                 (* 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 = b * (k * ((z * y0) - (y * y4)));
	double t_2 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	double t_3 = y0 * ((x * y2) - (z * y3));
	double t_4 = c * ((t_3 + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	double t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (x <= -2.4e+177) {
		tmp = c * t_3;
	} else if (x <= -4.8e+80) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (x <= -2.6e-39) {
		tmp = t_4;
	} else if (x <= -1.26e-110) {
		tmp = t_5;
	} else if (x <= -6.5e-219) {
		tmp = t_2;
	} else if (x <= -1.7e-269) {
		tmp = t_5;
	} else if (x <= 1.25e-300) {
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	} else if (x <= 2e-282) {
		tmp = t_2;
	} else if (x <= 4.6e-272) {
		tmp = t_1;
	} else if (x <= 1.85e-239) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (x <= 1.15e-118) {
		tmp = t_4;
	} else if (x <= 2.45e-89) {
		tmp = t_1;
	} else if (x <= 2.6e-70) {
		tmp = t_4;
	} else if (x <= 4.4e+55) {
		tmp = t_5;
	} else {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (j * ((i * y1) - (b * y0))));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: tmp
    t_1 = b * (k * ((z * y0) - (y * y4)))
    t_2 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))))
    t_3 = y0 * ((x * y2) - (z * y3))
    t_4 = c * ((t_3 + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))))
    t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    if (x <= (-2.4d+177)) then
        tmp = c * t_3
    else if (x <= (-4.8d+80)) then
        tmp = a * (y2 * ((t * y5) - (x * y1)))
    else if (x <= (-2.6d-39)) then
        tmp = t_4
    else if (x <= (-1.26d-110)) then
        tmp = t_5
    else if (x <= (-6.5d-219)) then
        tmp = t_2
    else if (x <= (-1.7d-269)) then
        tmp = t_5
    else if (x <= 1.25d-300) then
        tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))))
    else if (x <= 2d-282) then
        tmp = t_2
    else if (x <= 4.6d-272) then
        tmp = t_1
    else if (x <= 1.85d-239) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (x <= 1.15d-118) then
        tmp = t_4
    else if (x <= 2.45d-89) then
        tmp = t_1
    else if (x <= 2.6d-70) then
        tmp = t_4
    else if (x <= 4.4d+55) then
        tmp = t_5
    else
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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 = b * (k * ((z * y0) - (y * y4)));
	double t_2 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	double t_3 = y0 * ((x * y2) - (z * y3));
	double t_4 = c * ((t_3 + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	double t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double tmp;
	if (x <= -2.4e+177) {
		tmp = c * t_3;
	} else if (x <= -4.8e+80) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (x <= -2.6e-39) {
		tmp = t_4;
	} else if (x <= -1.26e-110) {
		tmp = t_5;
	} else if (x <= -6.5e-219) {
		tmp = t_2;
	} else if (x <= -1.7e-269) {
		tmp = t_5;
	} else if (x <= 1.25e-300) {
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	} else if (x <= 2e-282) {
		tmp = t_2;
	} else if (x <= 4.6e-272) {
		tmp = t_1;
	} else if (x <= 1.85e-239) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (x <= 1.15e-118) {
		tmp = t_4;
	} else if (x <= 2.45e-89) {
		tmp = t_1;
	} else if (x <= 2.6e-70) {
		tmp = t_4;
	} else if (x <= 4.4e+55) {
		tmp = t_5;
	} else {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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 = b * (k * ((z * y0) - (y * y4)))
	t_2 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))))
	t_3 = y0 * ((x * y2) - (z * y3))
	t_4 = c * ((t_3 + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))))
	t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	tmp = 0
	if x <= -2.4e+177:
		tmp = c * t_3
	elif x <= -4.8e+80:
		tmp = a * (y2 * ((t * y5) - (x * y1)))
	elif x <= -2.6e-39:
		tmp = t_4
	elif x <= -1.26e-110:
		tmp = t_5
	elif x <= -6.5e-219:
		tmp = t_2
	elif x <= -1.7e-269:
		tmp = t_5
	elif x <= 1.25e-300:
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))))
	elif x <= 2e-282:
		tmp = t_2
	elif x <= 4.6e-272:
		tmp = t_1
	elif x <= 1.85e-239:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif x <= 1.15e-118:
		tmp = t_4
	elif x <= 2.45e-89:
		tmp = t_1
	elif x <= 2.6e-70:
		tmp = t_4
	elif x <= 4.4e+55:
		tmp = t_5
	else:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))))
	t_2 = Float64(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) + Float64(a * Float64(Float64(t * y2) - Float64(y * y3)))))
	t_3 = Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3)))
	t_4 = Float64(c * Float64(Float64(t_3 + Float64(i * Float64(Float64(z * t) - Float64(x * y)))) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))))
	t_5 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (x <= -2.4e+177)
		tmp = Float64(c * t_3);
	elseif (x <= -4.8e+80)
		tmp = Float64(a * Float64(y2 * Float64(Float64(t * y5) - Float64(x * y1))));
	elseif (x <= -2.6e-39)
		tmp = t_4;
	elseif (x <= -1.26e-110)
		tmp = t_5;
	elseif (x <= -6.5e-219)
		tmp = t_2;
	elseif (x <= -1.7e-269)
		tmp = t_5;
	elseif (x <= 1.25e-300)
		tmp = Float64(Float64(Float64(k * y2) * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) - Float64(a * Float64(x * y2)))));
	elseif (x <= 2e-282)
		tmp = t_2;
	elseif (x <= 4.6e-272)
		tmp = t_1;
	elseif (x <= 1.85e-239)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (x <= 1.15e-118)
		tmp = t_4;
	elseif (x <= 2.45e-89)
		tmp = t_1;
	elseif (x <= 2.6e-70)
		tmp = t_4;
	elseif (x <= 4.4e+55)
		tmp = t_5;
	else
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (k * ((z * y0) - (y * y4)));
	t_2 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	t_3 = y0 * ((x * y2) - (z * y3));
	t_4 = c * ((t_3 + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	t_5 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	tmp = 0.0;
	if (x <= -2.4e+177)
		tmp = c * t_3;
	elseif (x <= -4.8e+80)
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	elseif (x <= -2.6e-39)
		tmp = t_4;
	elseif (x <= -1.26e-110)
		tmp = t_5;
	elseif (x <= -6.5e-219)
		tmp = t_2;
	elseif (x <= -1.7e-269)
		tmp = t_5;
	elseif (x <= 1.25e-300)
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	elseif (x <= 2e-282)
		tmp = t_2;
	elseif (x <= 4.6e-272)
		tmp = t_1;
	elseif (x <= 1.85e-239)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (x <= 1.15e-118)
		tmp = t_4;
	elseif (x <= 2.45e-89)
		tmp = t_1;
	elseif (x <= 2.6e-70)
		tmp = t_4;
	elseif (x <= 4.4e+55)
		tmp = t_5;
	else
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(c * N[(N[(t$95$3 + N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -2.4e+177], N[(c * t$95$3), $MachinePrecision], If[LessEqual[x, -4.8e+80], N[(a * N[(y2 * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -2.6e-39], t$95$4, If[LessEqual[x, -1.26e-110], t$95$5, If[LessEqual[x, -6.5e-219], t$95$2, If[LessEqual[x, -1.7e-269], t$95$5, If[LessEqual[x, 1.25e-300], N[(N[(N[(k * y2), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2e-282], t$95$2, If[LessEqual[x, 4.6e-272], t$95$1, If[LessEqual[x, 1.85e-239], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.15e-118], t$95$4, If[LessEqual[x, 2.45e-89], t$95$1, If[LessEqual[x, 2.6e-70], t$95$4, If[LessEqual[x, 4.4e+55], t$95$5, N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if x < -2.4e177

   1. Initial program 28.6%

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

   2. Taylor expanded in y0 around inf 57.3%

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

      1. +-commutative 57.3%

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

      2. mul-1-neg 57.3%

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

      3. unsub-neg 57.3%

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

      4. *-commutative 57.3%

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

      5. *-commutative 57.3%

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

      6. *-commutative 57.3%

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

      7. *-commutative 57.3%

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

   4. Simplified 57.3%

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

   5. Taylor expanded in c around inf 71.7%

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

   if -2.4e177 < x < -4.79999999999999958e80

   1. Initial program 21.1%

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

   2. Taylor expanded in y2 around inf 52.6%

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

   3. Taylor expanded in a around inf 63.6%

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

      1. distribute-lft-out-- 63.6%

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

      2. *-commutative 63.6%

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

   5. Simplified 63.6%

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

   if -4.79999999999999958e80 < x < -2.6e-39 or 1.85000000000000008e-239 < x < 1.1500000000000001e-118 or 2.45e-89 < x < 2.60000000000000002e-70

   1. Initial program 41.1%

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

   2. Taylor expanded in c around inf 59.2%

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

      1. +-commutative 59.2%

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

      2. mul-1-neg 59.2%

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

      3. unsub-neg 59.2%

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

      4. *-commutative 59.2%

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

      5. *-commutative 59.2%

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

      6. *-commutative 59.2%

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

      7. *-commutative 59.2%

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

   4. Simplified 59.2%

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

   if -2.6e-39 < x < -1.2600000000000001e-110 or -6.49999999999999958e-219 < x < -1.6999999999999999e-269 or 2.60000000000000002e-70 < x < 4.40000000000000021e55

   1. Initial program 30.9%

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

   2. Taylor expanded in b around inf 61.1%

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

   if -1.2600000000000001e-110 < x < -6.49999999999999958e-219 or 1.24999999999999999e-300 < x < 2e-282

   1. Initial program 33.3%

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

   2. Taylor expanded in y5 around -inf 56.9%

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

   3. Taylor expanded in k around 0 64.0%

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

   if -1.6999999999999999e-269 < x < 1.24999999999999999e-300

   1. Initial program 19.8%

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

   2. Taylor expanded in y1 around inf 71.0%

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

      1. distribute-lft-out-- 71.0%

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

      2. *-commutative 71.0%

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

      3. *-commutative 71.0%

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

      4. *-commutative 71.0%

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

   4. Simplified 71.0%

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

   5. Taylor expanded in y3 around 0 61.1%

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

      1. +-commutative 61.1%

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

      2. mul-1-neg 61.1%

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

      3. unsub-neg 61.1%

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

      4. associate-*r* 61.1%

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

      5. *-commutative 61.1%

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

      6. *-commutative 61.1%

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

      7. *-commutative 61.1%

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

   7. Simplified 61.1%

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

   if 2e-282 < x < 4.59999999999999978e-272 or 1.1500000000000001e-118 < x < 2.45e-89

   1. Initial program 12.3%

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

   2. Taylor expanded in b around inf 63.1%

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

   3. Taylor expanded in k around inf 100.0%

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

      1. distribute-lft-out-- 100.0%

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

   5. Simplified 100.0%

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

   if 4.59999999999999978e-272 < x < 1.85000000000000008e-239

   1. Initial program 44.3%

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

   2. Taylor expanded in y5 around -inf 46.1%

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

   3. Taylor expanded in i around inf 57.9%

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

      1. cancel-sign-sub-inv 57.9%

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

      2. fma-udef 57.9%

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

      3. associate-*r* 67.5%

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

      4. fma-udef 67.5%

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

      5. cancel-sign-sub-inv 67.5%

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

   5. Simplified 67.5%

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

   if 4.40000000000000021e55 < x

   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. Taylor expanded in x around inf 58.1%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 63.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -2.4 \cdot 10^{+177}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -4.8 \cdot 10^{+80}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq -2.6 \cdot 10^{-39}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq -1.26 \cdot 10^{-110}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -6.5 \cdot 10^{-219}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.7 \cdot 10^{-269}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 1.25 \cdot 10^{-300}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - a \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 2 \cdot 10^{-282}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 4.6 \cdot 10^{-272}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.85 \cdot 10^{-239}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;x \leq 1.15 \cdot 10^{-118}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 2.45 \cdot 10^{-89}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 2.6 \cdot 10^{-70}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 4.4 \cdot 10^{+55}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 4: 38.3% accurate, 1.6× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ t_2 := y1 \cdot y4 - y0 \cdot y5\\ t_3 := x \cdot y2 - z \cdot y3\\ t_4 := z \cdot k - x \cdot j\\ t_5 := y0 \cdot \left(\left(c \cdot t_3 + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot t_4\right)\\ t_6 := t \cdot j - y \cdot k\\ t_7 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_6\right) + y0 \cdot t_4\right)\\ \mathbf{if}\;x \leq -3.1 \cdot 10^{+176}:\\ \;\;\;\;c \cdot \left(y0 \cdot t_3\right)\\ \mathbf{elif}\;x \leq -1.75 \cdot 10^{+114}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq -15000000000:\\ \;\;\;\;t_5\\ \mathbf{elif}\;x \leq -7.5 \cdot 10^{-111}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -6 \cdot 10^{-219}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -5.5 \cdot 10^{-269}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 9 \cdot 10^{-301}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot t_2 + y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - a \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 9.8 \cdot 10^{-281}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-271}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.85 \cdot 10^{-239}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;x \leq 2.35 \cdot 10^{-191}:\\ \;\;\;\;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{elif}\;x \leq 7.4 \cdot 10^{-180}:\\ \;\;\;\;k \cdot \left(y2 \cdot t_2\right)\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{-130}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 10^{+46}:\\ \;\;\;\;t_5\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \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
         (*
          y5
          (+ (- (* j (* y0 y3)) (* i (* t j))) (* a (- (* t y2) (* y y3))))))
        (t_2 (- (* y1 y4) (* y0 y5)))
        (t_3 (- (* x y2) (* z y3)))
        (t_4 (- (* z k) (* x j)))
        (t_5 (* y0 (+ (+ (* c t_3) (* y5 (- (* j y3) (* k y2)))) (* b t_4))))
        (t_6 (- (* t j) (* y k)))
        (t_7 (* b (+ (+ (* a (- (* x y) (* z t))) (* y4 t_6)) (* y0 t_4)))))
   (if (<= x -3.1e+176)
     (* c (* y0 t_3))
     (if (<= x -1.75e+114)
       (* a (* y2 (- (* t y5) (* x y1))))
       (if (<= x -15000000000.0)
         t_5
         (if (<= x -7.5e-111)
           t_7
           (if (<= x -6e-219)
             t_1
             (if (<= x -5.5e-269)
               t_7
               (if (<= x 9e-301)
                 (+
                  (* (* k y2) t_2)
                  (* y1 (- (* i (- (* x j) (* z k))) (* a (* x y2)))))
                 (if (<= x 9.8e-281)
                   t_1
                   (if (<= x 1.5e-271)
                     (* b (* k (- (* z y0) (* y y4))))
                     (if (<= x 1.85e-239)
                       (* (* i y5) (- (* y k) (* t j)))
                       (if (<= x 2.35e-191)
                         (*
                          y4
                          (+
                           (+ (* b t_6) (* y1 (- (* k y2) (* j y3))))
                           (* c (- (* y y3) (* t y2)))))
                         (if (<= x 7.4e-180)
                           (* k (* y2 t_2))
                           (if (<= x 3.5e-130)
                             t_1
                             (if (<= x 1e+46)
                               t_5
                               (*
                                x
                                (+
                                 (+
                                  (* y (- (* a b) (* c i)))
                                  (* y2 (- (* c y0) (* a y1))))
                                 (* 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 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (x * y2) - (z * y3);
	double t_4 = (z * k) - (x * j);
	double t_5 = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * t_4));
	double t_6 = (t * j) - (y * k);
	double t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + (y0 * t_4));
	double tmp;
	if (x <= -3.1e+176) {
		tmp = c * (y0 * t_3);
	} else if (x <= -1.75e+114) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (x <= -15000000000.0) {
		tmp = t_5;
	} else if (x <= -7.5e-111) {
		tmp = t_7;
	} else if (x <= -6e-219) {
		tmp = t_1;
	} else if (x <= -5.5e-269) {
		tmp = t_7;
	} else if (x <= 9e-301) {
		tmp = ((k * y2) * t_2) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	} else if (x <= 9.8e-281) {
		tmp = t_1;
	} else if (x <= 1.5e-271) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (x <= 1.85e-239) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (x <= 2.35e-191) {
		tmp = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (x <= 7.4e-180) {
		tmp = k * (y2 * t_2);
	} else if (x <= 3.5e-130) {
		tmp = t_1;
	} else if (x <= 1e+46) {
		tmp = t_5;
	} else {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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) :: t_7
    real(8) :: tmp
    t_1 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))))
    t_2 = (y1 * y4) - (y0 * y5)
    t_3 = (x * y2) - (z * y3)
    t_4 = (z * k) - (x * j)
    t_5 = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * t_4))
    t_6 = (t * j) - (y * k)
    t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + (y0 * t_4))
    if (x <= (-3.1d+176)) then
        tmp = c * (y0 * t_3)
    else if (x <= (-1.75d+114)) then
        tmp = a * (y2 * ((t * y5) - (x * y1)))
    else if (x <= (-15000000000.0d0)) then
        tmp = t_5
    else if (x <= (-7.5d-111)) then
        tmp = t_7
    else if (x <= (-6d-219)) then
        tmp = t_1
    else if (x <= (-5.5d-269)) then
        tmp = t_7
    else if (x <= 9d-301) then
        tmp = ((k * y2) * t_2) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))))
    else if (x <= 9.8d-281) then
        tmp = t_1
    else if (x <= 1.5d-271) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (x <= 1.85d-239) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (x <= 2.35d-191) then
        tmp = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
    else if (x <= 7.4d-180) then
        tmp = k * (y2 * t_2)
    else if (x <= 3.5d-130) then
        tmp = t_1
    else if (x <= 1d+46) then
        tmp = t_5
    else
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	double t_2 = (y1 * y4) - (y0 * y5);
	double t_3 = (x * y2) - (z * y3);
	double t_4 = (z * k) - (x * j);
	double t_5 = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * t_4));
	double t_6 = (t * j) - (y * k);
	double t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + (y0 * t_4));
	double tmp;
	if (x <= -3.1e+176) {
		tmp = c * (y0 * t_3);
	} else if (x <= -1.75e+114) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (x <= -15000000000.0) {
		tmp = t_5;
	} else if (x <= -7.5e-111) {
		tmp = t_7;
	} else if (x <= -6e-219) {
		tmp = t_1;
	} else if (x <= -5.5e-269) {
		tmp = t_7;
	} else if (x <= 9e-301) {
		tmp = ((k * y2) * t_2) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	} else if (x <= 9.8e-281) {
		tmp = t_1;
	} else if (x <= 1.5e-271) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (x <= 1.85e-239) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (x <= 2.35e-191) {
		tmp = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	} else if (x <= 7.4e-180) {
		tmp = k * (y2 * t_2);
	} else if (x <= 3.5e-130) {
		tmp = t_1;
	} else if (x <= 1e+46) {
		tmp = t_5;
	} else {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))))
	t_2 = (y1 * y4) - (y0 * y5)
	t_3 = (x * y2) - (z * y3)
	t_4 = (z * k) - (x * j)
	t_5 = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * t_4))
	t_6 = (t * j) - (y * k)
	t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + (y0 * t_4))
	tmp = 0
	if x <= -3.1e+176:
		tmp = c * (y0 * t_3)
	elif x <= -1.75e+114:
		tmp = a * (y2 * ((t * y5) - (x * y1)))
	elif x <= -15000000000.0:
		tmp = t_5
	elif x <= -7.5e-111:
		tmp = t_7
	elif x <= -6e-219:
		tmp = t_1
	elif x <= -5.5e-269:
		tmp = t_7
	elif x <= 9e-301:
		tmp = ((k * y2) * t_2) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))))
	elif x <= 9.8e-281:
		tmp = t_1
	elif x <= 1.5e-271:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif x <= 1.85e-239:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif x <= 2.35e-191:
		tmp = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))))
	elif x <= 7.4e-180:
		tmp = k * (y2 * t_2)
	elif x <= 3.5e-130:
		tmp = t_1
	elif x <= 1e+46:
		tmp = t_5
	else:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) + Float64(a * Float64(Float64(t * y2) - Float64(y * y3)))))
	t_2 = Float64(Float64(y1 * y4) - Float64(y0 * y5))
	t_3 = Float64(Float64(x * y2) - Float64(z * y3))
	t_4 = Float64(Float64(z * k) - Float64(x * j))
	t_5 = Float64(y0 * Float64(Float64(Float64(c * t_3) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * t_4)))
	t_6 = Float64(Float64(t * j) - Float64(y * k))
	t_7 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_6)) + Float64(y0 * t_4)))
	tmp = 0.0
	if (x <= -3.1e+176)
		tmp = Float64(c * Float64(y0 * t_3));
	elseif (x <= -1.75e+114)
		tmp = Float64(a * Float64(y2 * Float64(Float64(t * y5) - Float64(x * y1))));
	elseif (x <= -15000000000.0)
		tmp = t_5;
	elseif (x <= -7.5e-111)
		tmp = t_7;
	elseif (x <= -6e-219)
		tmp = t_1;
	elseif (x <= -5.5e-269)
		tmp = t_7;
	elseif (x <= 9e-301)
		tmp = Float64(Float64(Float64(k * y2) * t_2) + Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) - Float64(a * Float64(x * y2)))));
	elseif (x <= 9.8e-281)
		tmp = t_1;
	elseif (x <= 1.5e-271)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (x <= 1.85e-239)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (x <= 2.35e-191)
		tmp = 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)))));
	elseif (x <= 7.4e-180)
		tmp = Float64(k * Float64(y2 * t_2));
	elseif (x <= 3.5e-130)
		tmp = t_1;
	elseif (x <= 1e+46)
		tmp = t_5;
	else
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	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 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	t_2 = (y1 * y4) - (y0 * y5);
	t_3 = (x * y2) - (z * y3);
	t_4 = (z * k) - (x * j);
	t_5 = y0 * (((c * t_3) + (y5 * ((j * y3) - (k * y2)))) + (b * t_4));
	t_6 = (t * j) - (y * k);
	t_7 = b * (((a * ((x * y) - (z * t))) + (y4 * t_6)) + (y0 * t_4));
	tmp = 0.0;
	if (x <= -3.1e+176)
		tmp = c * (y0 * t_3);
	elseif (x <= -1.75e+114)
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	elseif (x <= -15000000000.0)
		tmp = t_5;
	elseif (x <= -7.5e-111)
		tmp = t_7;
	elseif (x <= -6e-219)
		tmp = t_1;
	elseif (x <= -5.5e-269)
		tmp = t_7;
	elseif (x <= 9e-301)
		tmp = ((k * y2) * t_2) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	elseif (x <= 9.8e-281)
		tmp = t_1;
	elseif (x <= 1.5e-271)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (x <= 1.85e-239)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (x <= 2.35e-191)
		tmp = y4 * (((b * t_6) + (y1 * ((k * y2) - (j * y3)))) + (c * ((y * y3) - (t * y2))));
	elseif (x <= 7.4e-180)
		tmp = k * (y2 * t_2);
	elseif (x <= 3.5e-130)
		tmp = t_1;
	elseif (x <= 1e+46)
		tmp = t_5;
	else
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y0 * N[(N[(N[(c * t$95$3), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$6), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -3.1e+176], N[(c * N[(y0 * t$95$3), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -1.75e+114], N[(a * N[(y2 * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -15000000000.0], t$95$5, If[LessEqual[x, -7.5e-111], t$95$7, If[LessEqual[x, -6e-219], t$95$1, If[LessEqual[x, -5.5e-269], t$95$7, If[LessEqual[x, 9e-301], N[(N[(N[(k * y2), $MachinePrecision] * t$95$2), $MachinePrecision] + N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 9.8e-281], t$95$1, If[LessEqual[x, 1.5e-271], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.85e-239], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 2.35e-191], 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[x, 7.4e-180], N[(k * N[(y2 * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 3.5e-130], t$95$1, If[LessEqual[x, 1e+46], t$95$5, N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if x < -3.0999999999999999e176

   1. Initial program 28.6%

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

   2. Taylor expanded in y0 around inf 57.3%

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

      1. +-commutative 57.3%

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

      2. mul-1-neg 57.3%

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

      3. unsub-neg 57.3%

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

      4. *-commutative 57.3%

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

      5. *-commutative 57.3%

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

      6. *-commutative 57.3%

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

      7. *-commutative 57.3%

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

   4. Simplified 57.3%

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

   5. Taylor expanded in c around inf 71.7%

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

   if -3.0999999999999999e176 < x < -1.75e114

   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. Taylor expanded in y2 around inf 59.7%

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

   3. Taylor expanded in a around inf 73.6%

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

      1. distribute-lft-out-- 73.6%

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

      2. *-commutative 73.6%

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

   5. Simplified 73.6%

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

   if -1.75e114 < x < -1.5e10 or 3.4999999999999999e-130 < x < 9.9999999999999999e45

   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. Taylor expanded in y0 around inf 57.9%

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

      1. +-commutative 57.9%

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

      2. mul-1-neg 57.9%

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

      3. unsub-neg 57.9%

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

      4. *-commutative 57.9%

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

      5. *-commutative 57.9%

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

      6. *-commutative 57.9%

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

      7. *-commutative 57.9%

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

   4. Simplified 57.9%

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

   if -1.5e10 < x < -7.49999999999999965e-111 or -6.0000000000000002e-219 < x < -5.5000000000000001e-269

   1. Initial program 37.6%

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

   2. Taylor expanded in b around inf 64.9%

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

   if -7.49999999999999965e-111 < x < -6.0000000000000002e-219 or 9.00000000000000039e-301 < x < 9.7999999999999999e-281 or 7.40000000000000032e-180 < x < 3.4999999999999999e-130

   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. Taylor expanded in y5 around -inf 55.3%

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

   3. Taylor expanded in k around 0 60.6%

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

   if -5.5000000000000001e-269 < x < 9.00000000000000039e-301

   1. Initial program 19.8%

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

   2. Taylor expanded in y1 around inf 71.0%

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

      1. distribute-lft-out-- 71.0%

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

      2. *-commutative 71.0%

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

      3. *-commutative 71.0%

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

      4. *-commutative 71.0%

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

   4. Simplified 71.0%

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

   5. Taylor expanded in y3 around 0 61.1%

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

      1. +-commutative 61.1%

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

      2. mul-1-neg 61.1%

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

      3. unsub-neg 61.1%

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

      4. associate-*r* 61.1%

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

      5. *-commutative 61.1%

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

      6. *-commutative 61.1%

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

      7. *-commutative 61.1%

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

   7. Simplified 61.1%

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

   if 9.7999999999999999e-281 < x < 1.50000000000000001e-271

   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. Taylor expanded in b around inf 34.9%

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

   3. Taylor expanded in k around inf 100.0%

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

      1. distribute-lft-out-- 100.0%

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

   5. Simplified 100.0%

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

   if 1.50000000000000001e-271 < x < 1.85000000000000008e-239

   1. Initial program 44.3%

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

   2. Taylor expanded in y5 around -inf 46.1%

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

   3. Taylor expanded in i around inf 57.9%

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

      1. cancel-sign-sub-inv 57.9%

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

      2. fma-udef 57.9%

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

      3. associate-*r* 67.5%

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

      4. fma-udef 67.5%

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

      5. cancel-sign-sub-inv 67.5%

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

   5. Simplified 67.5%

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

   if 1.85000000000000008e-239 < x < 2.3499999999999999e-191

   1. Initial program 54.5%

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

   2. Taylor expanded in y4 around inf 72.8%

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

   if 2.3499999999999999e-191 < x < 7.40000000000000032e-180

   1. Initial program 25.0%

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

   2. Taylor expanded in y2 around inf 100.0%

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

   3. Taylor expanded in k around inf 100.0%

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

      1. *-commutative 100.0%

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

      2. *-commutative 100.0%

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

   5. Simplified 100.0%

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

   if 9.9999999999999999e45 < x

   1. Initial program 25.4%

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

   2. Taylor expanded in x around inf 54.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 63.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3.1 \cdot 10^{+176}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.75 \cdot 10^{+114}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq -15000000000:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -7.5 \cdot 10^{-111}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -6 \cdot 10^{-219}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -5.5 \cdot 10^{-269}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 9 \cdot 10^{-301}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - a \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 9.8 \cdot 10^{-281}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 1.5 \cdot 10^{-271}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.85 \cdot 10^{-239}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;x \leq 2.35 \cdot 10^{-191}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 7.4 \cdot 10^{-180}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;x \leq 3.5 \cdot 10^{-130}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 10^{+46}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 5: 38.1% accurate, 1.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ t_2 := y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\\ t_3 := x \cdot y2 - z \cdot y3\\ t_4 := y0 \cdot t_3\\ t_5 := z \cdot k - x \cdot j\\ t_6 := b \cdot t_5\\ t_7 := y0 \cdot \left(\left(c \cdot t_3 + t_2\right) + t_6\right)\\ t_8 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot t_5\right)\\ \mathbf{if}\;x \leq -3.4 \cdot 10^{+178}:\\ \;\;\;\;c \cdot t_4\\ \mathbf{elif}\;x \leq -2.6 \cdot 10^{+105}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq -4400000000:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{-110}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq -4.8 \cdot 10^{-219}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq -1.4 \cdot 10^{-269}:\\ \;\;\;\;t_8\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-301}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - a \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 1.76 \cdot 10^{-280}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;x \leq 3.7 \cdot 10^{-273}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.75 \cdot 10^{-201}:\\ \;\;\;\;t_7\\ \mathbf{elif}\;x \leq 3.9 \cdot 10^{-115}:\\ \;\;\;\;c \cdot \left(\left(t_4 + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 1.65 \cdot 10^{+49}:\\ \;\;\;\;y0 \cdot \left(t_2 + t_6\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          y5
          (+ (- (* j (* y0 y3)) (* i (* t j))) (* a (- (* t y2) (* y y3))))))
        (t_2 (* y5 (- (* j y3) (* k y2))))
        (t_3 (- (* x y2) (* z y3)))
        (t_4 (* y0 t_3))
        (t_5 (- (* z k) (* x j)))
        (t_6 (* b t_5))
        (t_7 (* y0 (+ (+ (* c t_3) t_2) t_6)))
        (t_8
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 t_5)))))
   (if (<= x -3.4e+178)
     (* c t_4)
     (if (<= x -2.6e+105)
       (* a (* y2 (- (* t y5) (* x y1))))
       (if (<= x -4400000000.0)
         t_7
         (if (<= x -1.15e-110)
           t_8
           (if (<= x -4.8e-219)
             t_1
             (if (<= x -1.4e-269)
               t_8
               (if (<= x 6.5e-301)
                 (+
                  (* (* k y2) (- (* y1 y4) (* y0 y5)))
                  (* y1 (- (* i (- (* x j) (* z k))) (* a (* x y2)))))
                 (if (<= x 1.76e-280)
                   t_1
                   (if (<= x 3.7e-273)
                     (* b (* k (- (* z y0) (* y y4))))
                     (if (<= x 1.75e-201)
                       t_7
                       (if (<= x 3.9e-115)
                         (*
                          c
                          (+
                           (+ t_4 (* i (- (* z t) (* x y))))
                           (* y4 (- (* y y3) (* t y2)))))
                         (if (<= x 1.65e+49)
                           (* y0 (+ t_2 t_6))
                           (*
                            x
                            (+
                             (+
                              (* y (- (* a b) (* c i)))
                              (* y2 (- (* c y0) (* a y1))))
                             (* 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 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	double t_2 = y5 * ((j * y3) - (k * y2));
	double t_3 = (x * y2) - (z * y3);
	double t_4 = y0 * t_3;
	double t_5 = (z * k) - (x * j);
	double t_6 = b * t_5;
	double t_7 = y0 * (((c * t_3) + t_2) + t_6);
	double t_8 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_5));
	double tmp;
	if (x <= -3.4e+178) {
		tmp = c * t_4;
	} else if (x <= -2.6e+105) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (x <= -4400000000.0) {
		tmp = t_7;
	} else if (x <= -1.15e-110) {
		tmp = t_8;
	} else if (x <= -4.8e-219) {
		tmp = t_1;
	} else if (x <= -1.4e-269) {
		tmp = t_8;
	} else if (x <= 6.5e-301) {
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	} else if (x <= 1.76e-280) {
		tmp = t_1;
	} else if (x <= 3.7e-273) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (x <= 1.75e-201) {
		tmp = t_7;
	} else if (x <= 3.9e-115) {
		tmp = c * ((t_4 + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	} else if (x <= 1.65e+49) {
		tmp = y0 * (t_2 + t_6);
	} else {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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) :: t_7
    real(8) :: t_8
    real(8) :: tmp
    t_1 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))))
    t_2 = y5 * ((j * y3) - (k * y2))
    t_3 = (x * y2) - (z * y3)
    t_4 = y0 * t_3
    t_5 = (z * k) - (x * j)
    t_6 = b * t_5
    t_7 = y0 * (((c * t_3) + t_2) + t_6)
    t_8 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_5))
    if (x <= (-3.4d+178)) then
        tmp = c * t_4
    else if (x <= (-2.6d+105)) then
        tmp = a * (y2 * ((t * y5) - (x * y1)))
    else if (x <= (-4400000000.0d0)) then
        tmp = t_7
    else if (x <= (-1.15d-110)) then
        tmp = t_8
    else if (x <= (-4.8d-219)) then
        tmp = t_1
    else if (x <= (-1.4d-269)) then
        tmp = t_8
    else if (x <= 6.5d-301) then
        tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))))
    else if (x <= 1.76d-280) then
        tmp = t_1
    else if (x <= 3.7d-273) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (x <= 1.75d-201) then
        tmp = t_7
    else if (x <= 3.9d-115) then
        tmp = c * ((t_4 + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))))
    else if (x <= 1.65d+49) then
        tmp = y0 * (t_2 + t_6)
    else
        tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	double t_2 = y5 * ((j * y3) - (k * y2));
	double t_3 = (x * y2) - (z * y3);
	double t_4 = y0 * t_3;
	double t_5 = (z * k) - (x * j);
	double t_6 = b * t_5;
	double t_7 = y0 * (((c * t_3) + t_2) + t_6);
	double t_8 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_5));
	double tmp;
	if (x <= -3.4e+178) {
		tmp = c * t_4;
	} else if (x <= -2.6e+105) {
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	} else if (x <= -4400000000.0) {
		tmp = t_7;
	} else if (x <= -1.15e-110) {
		tmp = t_8;
	} else if (x <= -4.8e-219) {
		tmp = t_1;
	} else if (x <= -1.4e-269) {
		tmp = t_8;
	} else if (x <= 6.5e-301) {
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	} else if (x <= 1.76e-280) {
		tmp = t_1;
	} else if (x <= 3.7e-273) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (x <= 1.75e-201) {
		tmp = t_7;
	} else if (x <= 3.9e-115) {
		tmp = c * ((t_4 + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	} else if (x <= 1.65e+49) {
		tmp = y0 * (t_2 + t_6);
	} else {
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))))
	t_2 = y5 * ((j * y3) - (k * y2))
	t_3 = (x * y2) - (z * y3)
	t_4 = y0 * t_3
	t_5 = (z * k) - (x * j)
	t_6 = b * t_5
	t_7 = y0 * (((c * t_3) + t_2) + t_6)
	t_8 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_5))
	tmp = 0
	if x <= -3.4e+178:
		tmp = c * t_4
	elif x <= -2.6e+105:
		tmp = a * (y2 * ((t * y5) - (x * y1)))
	elif x <= -4400000000.0:
		tmp = t_7
	elif x <= -1.15e-110:
		tmp = t_8
	elif x <= -4.8e-219:
		tmp = t_1
	elif x <= -1.4e-269:
		tmp = t_8
	elif x <= 6.5e-301:
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))))
	elif x <= 1.76e-280:
		tmp = t_1
	elif x <= 3.7e-273:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif x <= 1.75e-201:
		tmp = t_7
	elif x <= 3.9e-115:
		tmp = c * ((t_4 + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))))
	elif x <= 1.65e+49:
		tmp = y0 * (t_2 + t_6)
	else:
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) + Float64(a * Float64(Float64(t * y2) - Float64(y * y3)))))
	t_2 = Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))
	t_3 = Float64(Float64(x * y2) - Float64(z * y3))
	t_4 = Float64(y0 * t_3)
	t_5 = Float64(Float64(z * k) - Float64(x * j))
	t_6 = Float64(b * t_5)
	t_7 = Float64(y0 * Float64(Float64(Float64(c * t_3) + t_2) + t_6))
	t_8 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * t_5)))
	tmp = 0.0
	if (x <= -3.4e+178)
		tmp = Float64(c * t_4);
	elseif (x <= -2.6e+105)
		tmp = Float64(a * Float64(y2 * Float64(Float64(t * y5) - Float64(x * y1))));
	elseif (x <= -4400000000.0)
		tmp = t_7;
	elseif (x <= -1.15e-110)
		tmp = t_8;
	elseif (x <= -4.8e-219)
		tmp = t_1;
	elseif (x <= -1.4e-269)
		tmp = t_8;
	elseif (x <= 6.5e-301)
		tmp = Float64(Float64(Float64(k * y2) * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) - Float64(a * Float64(x * y2)))));
	elseif (x <= 1.76e-280)
		tmp = t_1;
	elseif (x <= 3.7e-273)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (x <= 1.75e-201)
		tmp = t_7;
	elseif (x <= 3.9e-115)
		tmp = Float64(c * Float64(Float64(t_4 + Float64(i * Float64(Float64(z * t) - Float64(x * y)))) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (x <= 1.65e+49)
		tmp = Float64(y0 * Float64(t_2 + t_6));
	else
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	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 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	t_2 = y5 * ((j * y3) - (k * y2));
	t_3 = (x * y2) - (z * y3);
	t_4 = y0 * t_3;
	t_5 = (z * k) - (x * j);
	t_6 = b * t_5;
	t_7 = y0 * (((c * t_3) + t_2) + t_6);
	t_8 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_5));
	tmp = 0.0;
	if (x <= -3.4e+178)
		tmp = c * t_4;
	elseif (x <= -2.6e+105)
		tmp = a * (y2 * ((t * y5) - (x * y1)));
	elseif (x <= -4400000000.0)
		tmp = t_7;
	elseif (x <= -1.15e-110)
		tmp = t_8;
	elseif (x <= -4.8e-219)
		tmp = t_1;
	elseif (x <= -1.4e-269)
		tmp = t_8;
	elseif (x <= 6.5e-301)
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	elseif (x <= 1.76e-280)
		tmp = t_1;
	elseif (x <= 3.7e-273)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (x <= 1.75e-201)
		tmp = t_7;
	elseif (x <= 3.9e-115)
		tmp = c * ((t_4 + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	elseif (x <= 1.65e+49)
		tmp = y0 * (t_2 + t_6);
	else
		tmp = x * (((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1)))) + (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[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(y0 * t$95$3), $MachinePrecision]}, Block[{t$95$5 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(b * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(y0 * N[(N[(N[(c * t$95$3), $MachinePrecision] + t$95$2), $MachinePrecision] + t$95$6), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[x, -3.4e+178], N[(c * t$95$4), $MachinePrecision], If[LessEqual[x, -2.6e+105], N[(a * N[(y2 * N[(N[(t * y5), $MachinePrecision] - N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, -4400000000.0], t$95$7, If[LessEqual[x, -1.15e-110], t$95$8, If[LessEqual[x, -4.8e-219], t$95$1, If[LessEqual[x, -1.4e-269], t$95$8, If[LessEqual[x, 6.5e-301], N[(N[(N[(k * y2), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.76e-280], t$95$1, If[LessEqual[x, 3.7e-273], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.75e-201], t$95$7, If[LessEqual[x, 3.9e-115], N[(c * N[(N[(t$95$4 + N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[x, 1.65e+49], N[(y0 * N[(t$95$2 + t$95$6), $MachinePrecision]), $MachinePrecision], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if x < -3.4000000000000003e178

   1. Initial program 28.6%

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

   2. Taylor expanded in y0 around inf 57.3%

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

      1. +-commutative 57.3%

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

      2. mul-1-neg 57.3%

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

      3. unsub-neg 57.3%

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

      4. *-commutative 57.3%

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

      5. *-commutative 57.3%

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

      6. *-commutative 57.3%

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

      7. *-commutative 57.3%

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

   4. Simplified 57.3%

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

   5. Taylor expanded in c around inf 71.7%

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

   if -3.4000000000000003e178 < x < -2.6000000000000002e105

   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. Taylor expanded in y2 around inf 59.7%

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

   3. Taylor expanded in a around inf 73.6%

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

      1. distribute-lft-out-- 73.6%

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

      2. *-commutative 73.6%

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

   5. Simplified 73.6%

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

   if -2.6000000000000002e105 < x < -4.4e9 or 3.7000000000000003e-273 < x < 1.75000000000000004e-201

   1. Initial program 29.4%

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

   2. Taylor expanded in y0 around inf 62.4%

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

      1. +-commutative 62.4%

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

      2. mul-1-neg 62.4%

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

      3. unsub-neg 62.4%

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

      4. *-commutative 62.4%

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

      5. *-commutative 62.4%

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

      6. *-commutative 62.4%

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

      7. *-commutative 62.4%

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

   4. Simplified 62.4%

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

   if -4.4e9 < x < -1.1500000000000001e-110 or -4.80000000000000028e-219 < x < -1.39999999999999997e-269

   1. Initial program 37.6%

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

   2. Taylor expanded in b around inf 64.9%

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

   if -1.1500000000000001e-110 < x < -4.80000000000000028e-219 or 6.49999999999999991e-301 < x < 1.76000000000000003e-280

   1. Initial program 33.3%

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

   2. Taylor expanded in y5 around -inf 56.9%

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

   3. Taylor expanded in k around 0 64.0%

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

   if -1.39999999999999997e-269 < x < 6.49999999999999991e-301

   1. Initial program 19.8%

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

   2. Taylor expanded in y1 around inf 71.0%

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

      1. distribute-lft-out-- 71.0%

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

      2. *-commutative 71.0%

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

      3. *-commutative 71.0%

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

      4. *-commutative 71.0%

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

   4. Simplified 71.0%

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

   5. Taylor expanded in y3 around 0 61.1%

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

      1. +-commutative 61.1%

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

      2. mul-1-neg 61.1%

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

      3. unsub-neg 61.1%

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

      4. associate-*r* 61.1%

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

      5. *-commutative 61.1%

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

      6. *-commutative 61.1%

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

      7. *-commutative 61.1%

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

   7. Simplified 61.1%

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

   if 1.76000000000000003e-280 < x < 3.7000000000000003e-273

   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. Taylor expanded in b around inf 34.9%

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

   3. Taylor expanded in k around inf 100.0%

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

      1. distribute-lft-out-- 100.0%

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

   5. Simplified 100.0%

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

   if 1.75000000000000004e-201 < x < 3.8999999999999998e-115

   1. Initial program 47.8%

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

   2. Taylor expanded in c around inf 52.5%

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

      1. +-commutative 52.5%

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

      2. mul-1-neg 52.5%

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

      3. unsub-neg 52.5%

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

      4. *-commutative 52.5%

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

      5. *-commutative 52.5%

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

      6. *-commutative 52.5%

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

      7. *-commutative 52.5%

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

   4. Simplified 52.5%

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

   if 3.8999999999999998e-115 < x < 1.6499999999999999e49

   1. Initial program 29.9%

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

   2. Taylor expanded in y0 around inf 50.7%

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

      1. +-commutative 50.7%

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

      2. mul-1-neg 50.7%

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

      3. unsub-neg 50.7%

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

      4. *-commutative 50.7%

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

      5. *-commutative 50.7%

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

      6. *-commutative 50.7%

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

      7. *-commutative 50.7%

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

   4. Simplified 50.7%

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

   5. Taylor expanded in c around 0 51.0%

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

      1. mul-1-neg 51.0%

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

      2. distribute-rgt-neg-in 51.0%

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

      3. *-commutative 51.0%

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

      4. *-commutative 51.0%

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

      5. distribute-neg-in 51.0%

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

      6. unsub-neg 51.0%

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

      7. distribute-rgt-neg-in 51.0%

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

      8. neg-sub0 51.0%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(0 - \left(x \cdot j - z \cdot k\right)\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      9. associate-+l- 51.0%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(\left(0 - x \cdot j\right) + z \cdot k\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      10. neg-sub0 51.0%

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

      11. +-commutative 51.0%

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

      12. sub-neg 51.0%

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

      13. sub-neg 51.0%

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

   7. Simplified 51.0%

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

   if 1.6499999999999999e49 < x

   1. Initial program 26.4%

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

   2. Taylor expanded in x around inf 56.8%

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

4. Final simplification 61.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;x \leq -3.4 \cdot 10^{+178}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -2.6 \cdot 10^{+105}:\\ \;\;\;\;a \cdot \left(y2 \cdot \left(t \cdot y5 - x \cdot y1\right)\right)\\ \mathbf{elif}\;x \leq -4400000000:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -1.15 \cdot 10^{-110}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq -4.8 \cdot 10^{-219}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq -1.4 \cdot 10^{-269}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 6.5 \cdot 10^{-301}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - a \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 1.76 \cdot 10^{-280}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;x \leq 3.7 \cdot 10^{-273}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;x \leq 1.75 \cdot 10^{-201}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;x \leq 3.9 \cdot 10^{-115}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;x \leq 1.65 \cdot 10^{+49}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \end{array} \]

Alternative 6: 38.3% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_2 := x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ t_3 := y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{if}\;b \leq -2.3 \cdot 10^{+115}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.8 \cdot 10^{-24}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -7 \cdot 10^{-90}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;b \leq -8 \cdot 10^{-163}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq -1 \cdot 10^{-294}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 7.8 \cdot 10^{-263}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 9.5 \cdot 10^{-216}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-199}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;b \leq 6.9 \cdot 10^{-87}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;b \leq 9.8 \cdot 10^{-61}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 4 \cdot 10^{+100}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 (- (* z k) (* x j))))))
        (t_2 (* x (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))))
        (t_3
         (*
          y5
          (+ (- (* j (* y0 y3)) (* i (* t j))) (* a (- (* t y2) (* y y3)))))))
   (if (<= b -2.3e+115)
     t_1
     (if (<= b -1.8e-24)
       (*
        c
        (+
         (+ (* y0 (- (* x y2) (* z y3))) (* i (- (* z t) (* x y))))
         (* y4 (- (* y y3) (* t y2)))))
       (if (<= b -7e-90)
         (* (* i y5) (- (* y k) (* t j)))
         (if (<= b -8e-163)
           t_3
           (if (<= b -1e-294)
             t_2
             (if (<= b 7.8e-263)
               (* k (* y2 (- (* y1 y4) (* y0 y5))))
               (if (<= b 9.5e-216)
                 t_2
                 (if (<= b 1.25e-199)
                   (* i (* x (- (* j y1) (* y c))))
                   (if (<= b 6.9e-87)
                     t_3
                     (if (<= b 9.8e-61)
                       (* t (* y2 (- (* a y5) (* c y4))))
                       (if (<= b 4e+100)
                         (* y0 (* y2 (- (* x c) (* k y5))))
                         t_1)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_2 = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))));
	double t_3 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	double tmp;
	if (b <= -2.3e+115) {
		tmp = t_1;
	} else if (b <= -1.8e-24) {
		tmp = c * (((y0 * ((x * y2) - (z * y3))) + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	} else if (b <= -7e-90) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (b <= -8e-163) {
		tmp = t_3;
	} else if (b <= -1e-294) {
		tmp = t_2;
	} else if (b <= 7.8e-263) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (b <= 9.5e-216) {
		tmp = t_2;
	} else if (b <= 1.25e-199) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (b <= 6.9e-87) {
		tmp = t_3;
	} else if (b <= 9.8e-61) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (b <= 4e+100) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
    t_2 = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))))
    t_3 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))))
    if (b <= (-2.3d+115)) then
        tmp = t_1
    else if (b <= (-1.8d-24)) then
        tmp = c * (((y0 * ((x * y2) - (z * y3))) + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))))
    else if (b <= (-7d-90)) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (b <= (-8d-163)) then
        tmp = t_3
    else if (b <= (-1d-294)) then
        tmp = t_2
    else if (b <= 7.8d-263) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (b <= 9.5d-216) then
        tmp = t_2
    else if (b <= 1.25d-199) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (b <= 6.9d-87) then
        tmp = t_3
    else if (b <= 9.8d-61) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (b <= 4d+100) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	double t_2 = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))));
	double t_3 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	double tmp;
	if (b <= -2.3e+115) {
		tmp = t_1;
	} else if (b <= -1.8e-24) {
		tmp = c * (((y0 * ((x * y2) - (z * y3))) + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	} else if (b <= -7e-90) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (b <= -8e-163) {
		tmp = t_3;
	} else if (b <= -1e-294) {
		tmp = t_2;
	} else if (b <= 7.8e-263) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (b <= 9.5e-216) {
		tmp = t_2;
	} else if (b <= 1.25e-199) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (b <= 6.9e-87) {
		tmp = t_3;
	} else if (b <= 9.8e-61) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (b <= 4e+100) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))))
	t_2 = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))))
	t_3 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))))
	tmp = 0
	if b <= -2.3e+115:
		tmp = t_1
	elif b <= -1.8e-24:
		tmp = c * (((y0 * ((x * y2) - (z * y3))) + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))))
	elif b <= -7e-90:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif b <= -8e-163:
		tmp = t_3
	elif b <= -1e-294:
		tmp = t_2
	elif b <= 7.8e-263:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif b <= 9.5e-216:
		tmp = t_2
	elif b <= 1.25e-199:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif b <= 6.9e-87:
		tmp = t_3
	elif b <= 9.8e-61:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif b <= 4e+100:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * Float64(Float64(z * k) - Float64(x * j)))))
	t_2 = Float64(x * Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))))
	t_3 = Float64(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) + Float64(a * Float64(Float64(t * y2) - Float64(y * y3)))))
	tmp = 0.0
	if (b <= -2.3e+115)
		tmp = t_1;
	elseif (b <= -1.8e-24)
		tmp = Float64(c * Float64(Float64(Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(i * Float64(Float64(z * t) - Float64(x * y)))) + Float64(y4 * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (b <= -7e-90)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (b <= -8e-163)
		tmp = t_3;
	elseif (b <= -1e-294)
		tmp = t_2;
	elseif (b <= 7.8e-263)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (b <= 9.5e-216)
		tmp = t_2;
	elseif (b <= 1.25e-199)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (b <= 6.9e-87)
		tmp = t_3;
	elseif (b <= 9.8e-61)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (b <= 4e+100)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * ((z * k) - (x * j))));
	t_2 = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))));
	t_3 = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	tmp = 0.0;
	if (b <= -2.3e+115)
		tmp = t_1;
	elseif (b <= -1.8e-24)
		tmp = c * (((y0 * ((x * y2) - (z * y3))) + (i * ((z * t) - (x * y)))) + (y4 * ((y * y3) - (t * y2))));
	elseif (b <= -7e-90)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (b <= -8e-163)
		tmp = t_3;
	elseif (b <= -1e-294)
		tmp = t_2;
	elseif (b <= 7.8e-263)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (b <= 9.5e-216)
		tmp = t_2;
	elseif (b <= 1.25e-199)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (b <= 6.9e-87)
		tmp = t_3;
	elseif (b <= 9.8e-61)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (b <= 4e+100)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -2.3e+115], t$95$1, If[LessEqual[b, -1.8e-24], N[(c * N[(N[(N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -7e-90], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -8e-163], t$95$3, If[LessEqual[b, -1e-294], t$95$2, If[LessEqual[b, 7.8e-263], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 9.5e-216], t$95$2, If[LessEqual[b, 1.25e-199], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 6.9e-87], t$95$3, If[LessEqual[b, 9.8e-61], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 4e+100], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if b < -2.30000000000000004e115 or 4.00000000000000006e100 < b

   1. Initial program 27.0%

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

   2. Taylor expanded in b around inf 60.6%

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

   if -2.30000000000000004e115 < b < -1.8e-24

   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. Taylor expanded in c around inf 55.0%

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

      1. +-commutative 55.0%

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

      2. mul-1-neg 55.0%

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

      3. unsub-neg 55.0%

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

      4. *-commutative 55.0%

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

      5. *-commutative 55.0%

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

      6. *-commutative 55.0%

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

      7. *-commutative 55.0%

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

   4. Simplified 55.0%

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

   if -1.8e-24 < b < -6.9999999999999997e-90

   1. Initial program 45.3%

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

   2. Taylor expanded in y5 around -inf 36.7%

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

   3. Taylor expanded in i around inf 46.5%

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

      1. cancel-sign-sub-inv 46.5%

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

      2. fma-udef 46.5%

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

      3. associate-*r* 46.4%

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

      4. fma-udef 46.4%

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

      5. cancel-sign-sub-inv 46.4%

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

   5. Simplified 46.4%

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

   if -6.9999999999999997e-90 < b < -7.99999999999999939e-163 or 1.2499999999999999e-199 < b < 6.90000000000000042e-87

   1. Initial program 43.5%

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

   2. Taylor expanded in y5 around -inf 54.7%

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

   3. Taylor expanded in k around 0 52.1%

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

   if -7.99999999999999939e-163 < b < -1.00000000000000002e-294 or 7.79999999999999939e-263 < b < 9.49999999999999943e-216

   1. Initial program 32.5%

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

   2. Taylor expanded in x around inf 62.5%

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

   3. Taylor expanded in j around 0 59.7%

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

   if -1.00000000000000002e-294 < b < 7.79999999999999939e-263

   1. Initial program 25.0%

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

   2. Taylor expanded in y2 around inf 50.3%

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

   3. Taylor expanded in k around inf 62.9%

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

      1. *-commutative 62.9%

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

      2. *-commutative 62.9%

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

   5. Simplified 62.9%

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

   if 9.49999999999999943e-216 < b < 1.2499999999999999e-199

   1. Initial program 25.0%

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

   2. Taylor expanded in i around -inf 26.0%

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

   3. Taylor expanded in x around inf 76.5%

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

      1. *-commutative 76.5%

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

   5. Simplified 76.5%

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

   if 6.90000000000000042e-87 < b < 9.80000000000000004e-61

   1. Initial program 20.0%

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

   2. Taylor expanded in y2 around inf 40.0%

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

   3. Taylor expanded in t around inf 100.0%

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

   if 9.80000000000000004e-61 < b < 4.00000000000000006e100

   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. Taylor expanded in y2 around inf 45.1%

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

   3. Taylor expanded in y0 around -inf 49.0%

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

      1. mul-1-neg 49.0%

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

      2. distribute-rgt-neg-in 49.0%

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

      3. +-commutative 49.0%

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

      4. mul-1-neg 49.0%

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

      5. unsub-neg 49.0%

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

      6. *-commutative 49.0%

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

      7. *-commutative 49.0%

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

   5. Simplified 49.0%

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

4. Final simplification 57.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.3 \cdot 10^{+115}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -1.8 \cdot 10^{-24}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -7 \cdot 10^{-90}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;b \leq -8 \cdot 10^{-163}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq -1 \cdot 10^{-294}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 7.8 \cdot 10^{-263}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 9.5 \cdot 10^{-216}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-199}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;b \leq 6.9 \cdot 10^{-87}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 9.8 \cdot 10^{-61}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 4 \cdot 10^{+100}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 7: 39.4% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot y5 - c \cdot y4\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y0 \cdot \left(\left(c \cdot t_2 + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_4 := y \cdot y3 - t \cdot y2\\ t_5 := k \cdot y2 - j \cdot y3\\ t_6 := y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot t_5 + a \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{if}\;t \leq -2.2 \cdot 10^{+152}:\\ \;\;\;\;t \cdot \left(y2 \cdot t_1\right)\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{+123}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -3.2 \cdot 10^{+110}:\\ \;\;\;\;a \cdot \left(b \cdot \left(z \cdot \left(-t\right)\right)\right)\\ \mathbf{elif}\;t \leq -5.6 \cdot 10^{+60}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot t_5\right) + c \cdot t_4\right)\\ \mathbf{elif}\;t \leq -2.9 \cdot 10^{+42}:\\ \;\;\;\;t_6\\ \mathbf{elif}\;t \leq -7 \cdot 10^{-55}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot t_2 + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot t_4\right)\\ \mathbf{elif}\;t \leq -5.5 \cdot 10^{-285}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{-304}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{-146}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{+159}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot t_1\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a y5) (* c y4)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3
         (*
          y0
          (+
           (+ (* c t_2) (* y5 (- (* j y3) (* k y2))))
           (* b (- (* z k) (* x j))))))
        (t_4 (- (* y y3) (* t y2)))
        (t_5 (- (* k y2) (* j y3)))
        (t_6
         (*
          y1
          (+
           (* i (- (* x j) (* z k)))
           (+ (* y4 t_5) (* a (- (* z y3) (* x y2))))))))
   (if (<= t -2.2e+152)
     (* t (* y2 t_1))
     (if (<= t -1.6e+123)
       t_6
       (if (<= t -3.2e+110)
         (* a (* b (* z (- t))))
         (if (<= t -5.6e+60)
           (* y4 (+ (+ (* b (- (* t j) (* y k))) (* y1 t_5)) (* c t_4)))
           (if (<= t -2.9e+42)
             t_6
             (if (<= t -7e-55)
               (* c (+ (+ (* y0 t_2) (* i (- (* z t) (* x y)))) (* y4 t_4)))
               (if (<= t -5.5e-285)
                 t_3
                 (if (<= t 1.55e-304)
                   (* b (* k (- (* z y0) (* y y4))))
                   (if (<= t 2.3e-146)
                     t_3
                     (if (<= t 5.2e+159)
                       (*
                        y2
                        (+
                         (+
                          (* k (- (* y1 y4) (* y0 y5)))
                          (* x (- (* c y0) (* a y1))))
                         (* t t_1)))
                       (* b (* t (- (* j y4) (* z a))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y5) - (c * y4);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	double t_4 = (y * y3) - (t * y2);
	double t_5 = (k * y2) - (j * y3);
	double t_6 = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_5) + (a * ((z * y3) - (x * y2)))));
	double tmp;
	if (t <= -2.2e+152) {
		tmp = t * (y2 * t_1);
	} else if (t <= -1.6e+123) {
		tmp = t_6;
	} else if (t <= -3.2e+110) {
		tmp = a * (b * (z * -t));
	} else if (t <= -5.6e+60) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_5)) + (c * t_4));
	} else if (t <= -2.9e+42) {
		tmp = t_6;
	} else if (t <= -7e-55) {
		tmp = c * (((y0 * t_2) + (i * ((z * t) - (x * y)))) + (y4 * t_4));
	} else if (t <= -5.5e-285) {
		tmp = t_3;
	} else if (t <= 1.55e-304) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (t <= 2.3e-146) {
		tmp = t_3;
	} else if (t <= 5.2e+159) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (a * y5) - (c * y4)
    t_2 = (x * y2) - (z * y3)
    t_3 = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
    t_4 = (y * y3) - (t * y2)
    t_5 = (k * y2) - (j * y3)
    t_6 = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_5) + (a * ((z * y3) - (x * y2)))))
    if (t <= (-2.2d+152)) then
        tmp = t * (y2 * t_1)
    else if (t <= (-1.6d+123)) then
        tmp = t_6
    else if (t <= (-3.2d+110)) then
        tmp = a * (b * (z * -t))
    else if (t <= (-5.6d+60)) then
        tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_5)) + (c * t_4))
    else if (t <= (-2.9d+42)) then
        tmp = t_6
    else if (t <= (-7d-55)) then
        tmp = c * (((y0 * t_2) + (i * ((z * t) - (x * y)))) + (y4 * t_4))
    else if (t <= (-5.5d-285)) then
        tmp = t_3
    else if (t <= 1.55d-304) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (t <= 2.3d-146) then
        tmp = t_3
    else if (t <= 5.2d+159) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1))
    else
        tmp = b * (t * ((j * y4) - (z * a)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * y5) - (c * y4);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	double t_4 = (y * y3) - (t * y2);
	double t_5 = (k * y2) - (j * y3);
	double t_6 = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_5) + (a * ((z * y3) - (x * y2)))));
	double tmp;
	if (t <= -2.2e+152) {
		tmp = t * (y2 * t_1);
	} else if (t <= -1.6e+123) {
		tmp = t_6;
	} else if (t <= -3.2e+110) {
		tmp = a * (b * (z * -t));
	} else if (t <= -5.6e+60) {
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_5)) + (c * t_4));
	} else if (t <= -2.9e+42) {
		tmp = t_6;
	} else if (t <= -7e-55) {
		tmp = c * (((y0 * t_2) + (i * ((z * t) - (x * y)))) + (y4 * t_4));
	} else if (t <= -5.5e-285) {
		tmp = t_3;
	} else if (t <= 1.55e-304) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (t <= 2.3e-146) {
		tmp = t_3;
	} else if (t <= 5.2e+159) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	} else {
		tmp = b * (t * ((j * y4) - (z * a)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * y5) - (c * y4)
	t_2 = (x * y2) - (z * y3)
	t_3 = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
	t_4 = (y * y3) - (t * y2)
	t_5 = (k * y2) - (j * y3)
	t_6 = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_5) + (a * ((z * y3) - (x * y2)))))
	tmp = 0
	if t <= -2.2e+152:
		tmp = t * (y2 * t_1)
	elif t <= -1.6e+123:
		tmp = t_6
	elif t <= -3.2e+110:
		tmp = a * (b * (z * -t))
	elif t <= -5.6e+60:
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_5)) + (c * t_4))
	elif t <= -2.9e+42:
		tmp = t_6
	elif t <= -7e-55:
		tmp = c * (((y0 * t_2) + (i * ((z * t) - (x * y)))) + (y4 * t_4))
	elif t <= -5.5e-285:
		tmp = t_3
	elif t <= 1.55e-304:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif t <= 2.3e-146:
		tmp = t_3
	elif t <= 5.2e+159:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1))
	else:
		tmp = b * (t * ((j * y4) - (z * a)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * y5) - Float64(c * y4))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(y0 * Float64(Float64(Float64(c * t_2) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	t_4 = Float64(Float64(y * y3) - Float64(t * y2))
	t_5 = Float64(Float64(k * y2) - Float64(j * y3))
	t_6 = Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y4 * t_5) + Float64(a * Float64(Float64(z * y3) - Float64(x * y2))))))
	tmp = 0.0
	if (t <= -2.2e+152)
		tmp = Float64(t * Float64(y2 * t_1));
	elseif (t <= -1.6e+123)
		tmp = t_6;
	elseif (t <= -3.2e+110)
		tmp = Float64(a * Float64(b * Float64(z * Float64(-t))));
	elseif (t <= -5.6e+60)
		tmp = Float64(y4 * Float64(Float64(Float64(b * Float64(Float64(t * j) - Float64(y * k))) + Float64(y1 * t_5)) + Float64(c * t_4)));
	elseif (t <= -2.9e+42)
		tmp = t_6;
	elseif (t <= -7e-55)
		tmp = Float64(c * Float64(Float64(Float64(y0 * t_2) + Float64(i * Float64(Float64(z * t) - Float64(x * y)))) + Float64(y4 * t_4)));
	elseif (t <= -5.5e-285)
		tmp = t_3;
	elseif (t <= 1.55e-304)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (t <= 2.3e-146)
		tmp = t_3;
	elseif (t <= 5.2e+159)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * Float64(Float64(c * y0) - Float64(a * y1)))) + Float64(t * t_1)));
	else
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * y5) - (c * y4);
	t_2 = (x * y2) - (z * y3);
	t_3 = y0 * (((c * t_2) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	t_4 = (y * y3) - (t * y2);
	t_5 = (k * y2) - (j * y3);
	t_6 = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_5) + (a * ((z * y3) - (x * y2)))));
	tmp = 0.0;
	if (t <= -2.2e+152)
		tmp = t * (y2 * t_1);
	elseif (t <= -1.6e+123)
		tmp = t_6;
	elseif (t <= -3.2e+110)
		tmp = a * (b * (z * -t));
	elseif (t <= -5.6e+60)
		tmp = y4 * (((b * ((t * j) - (y * k))) + (y1 * t_5)) + (c * t_4));
	elseif (t <= -2.9e+42)
		tmp = t_6;
	elseif (t <= -7e-55)
		tmp = c * (((y0 * t_2) + (i * ((z * t) - (x * y)))) + (y4 * t_4));
	elseif (t <= -5.5e-285)
		tmp = t_3;
	elseif (t <= 1.55e-304)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (t <= 2.3e-146)
		tmp = t_3;
	elseif (t <= 5.2e+159)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * ((c * y0) - (a * y1)))) + (t * t_1));
	else
		tmp = b * (t * ((j * y4) - (z * a)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y0 * N[(N[(N[(c * t$95$2), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y4 * t$95$5), $MachinePrecision] + N[(a * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[t, -2.2e+152], N[(t * N[(y2 * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.6e+123], t$95$6, If[LessEqual[t, -3.2e+110], N[(a * N[(b * N[(z * (-t)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -5.6e+60], N[(y4 * N[(N[(N[(b * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * t$95$5), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -2.9e+42], t$95$6, If[LessEqual[t, -7e-55], N[(c * N[(N[(N[(y0 * t$95$2), $MachinePrecision] + N[(i * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -5.5e-285], t$95$3, If[LessEqual[t, 1.55e-304], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 2.3e-146], t$95$3, If[LessEqual[t, 5.2e+159], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(t * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if t < -2.1999999999999998e152

   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. Taylor expanded in y2 around inf 52.4%

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

   3. Taylor expanded in t around inf 60.4%

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

   if -2.1999999999999998e152 < t < -1.60000000000000002e123 or -5.6e60 < t < -2.89999999999999981e42

   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. Taylor expanded in y1 around -inf 81.3%

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

      1. mul-1-neg 81.3%

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

      2. *-commutative 81.3%

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

      3. distribute-rgt-neg-in 81.3%

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

   4. Simplified 81.3%

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

   if -1.60000000000000002e123 < t < -3.19999999999999994e110

   1. Initial program 0.0%

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

   2. Taylor expanded in b around inf 66.7%

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

   3. Taylor expanded in a around inf 100.0%

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

      1. associate-*r* 69.8%

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

      2. *-commutative 69.8%

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

   5. Simplified 69.8%

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

   6. Taylor expanded in y around 0 100.0%

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

      1. mul-1-neg 100.0%

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

      2. *-commutative 100.0%

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

      3. distribute-rgt-neg-in 100.0%

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

      4. *-commutative 100.0%

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

   8. Simplified 100.0%

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

   if -3.19999999999999994e110 < t < -5.6e60

   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. Taylor expanded in y4 around inf 64.4%

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

   if -2.89999999999999981e42 < t < -7.00000000000000051e-55

   1. Initial program 33.3%

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

   2. Taylor expanded in c around inf 53.6%

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

      1. +-commutative 53.6%

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

      2. mul-1-neg 53.6%

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

      3. unsub-neg 53.6%

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

      4. *-commutative 53.6%

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

      5. *-commutative 53.6%

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

      6. *-commutative 53.6%

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

      7. *-commutative 53.6%

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

   4. Simplified 53.6%

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

   if -7.00000000000000051e-55 < t < -5.5000000000000001e-285 or 1.54999999999999992e-304 < t < 2.3000000000000001e-146

   1. Initial program 36.5%

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

   2. Taylor expanded in y0 around inf 55.8%

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

      1. +-commutative 55.8%

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

      2. mul-1-neg 55.8%

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

      3. unsub-neg 55.8%

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

      4. *-commutative 55.8%

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

      5. *-commutative 55.8%

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

      6. *-commutative 55.8%

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

      7. *-commutative 55.8%

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

   4. Simplified 55.8%

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

   if -5.5000000000000001e-285 < t < 1.54999999999999992e-304

   1. Initial program 8.7%

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

   2. Taylor expanded in b around inf 45.6%

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

   3. Taylor expanded in k around inf 59.1%

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

      1. distribute-lft-out-- 59.1%

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

   5. Simplified 59.1%

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

   if 2.3000000000000001e-146 < t < 5.2000000000000001e159

   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. Taylor expanded in y2 around inf 55.6%

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

   if 5.2000000000000001e159 < t

   1. Initial program 16.2%

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

   2. Taylor expanded in b around inf 36.0%

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

   3. Taylor expanded in t around -inf 64.0%

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

      1. mul-1-neg 64.0%

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

      2. distribute-rgt-neg-in 64.0%

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

      3. +-commutative 64.0%

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

      4. mul-1-neg 64.0%

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

      5. unsub-neg 64.0%

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

   5. Simplified 64.0%

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

4. Final simplification 59.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -2.2 \cdot 10^{+152}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq -1.6 \cdot 10^{+123}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;t \leq -3.2 \cdot 10^{+110}:\\ \;\;\;\;a \cdot \left(b \cdot \left(z \cdot \left(-t\right)\right)\right)\\ \mathbf{elif}\;t \leq -5.6 \cdot 10^{+60}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot \left(t \cdot j - y \cdot k\right) + y1 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -2.9 \cdot 10^{+42}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;t \leq -7 \cdot 10^{-55}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;t \leq -5.5 \cdot 10^{-285}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 1.55 \cdot 10^{-304}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq 2.3 \cdot 10^{-146}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;t \leq 5.2 \cdot 10^{+159}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \end{array} \]

Alternative 8: 38.1% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot y2 - j \cdot y3\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\\ t_4 := z \cdot y3 - x \cdot y2\\ t_5 := y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\\ t_6 := z \cdot t - x \cdot y\\ t_7 := z \cdot k - x \cdot j\\ t_8 := b \cdot t_7\\ t_9 := y0 \cdot \left(\left(c \cdot t_2 + t_5\right) + t_8\right)\\ t_10 := y \cdot y3 - t \cdot y2\\ t_11 := t \cdot j - y \cdot k\\ \mathbf{if}\;a \leq -5 \cdot 10^{+101}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y1 \cdot t_4 - b \cdot t_6\right)\right)\\ \mathbf{elif}\;a \leq -3.2 \cdot 10^{-55}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot t_2 + i \cdot t_6\right) + y4 \cdot t_10\right)\\ \mathbf{elif}\;a \leq -5.9 \cdot 10^{-208}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq -1.36 \cdot 10^{-248}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + t_3\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-282}:\\ \;\;\;\;t_9\\ \mathbf{elif}\;a \leq 6.6 \cdot 10^{-106}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot t_11\right) + y0 \cdot t_7\right)\\ \mathbf{elif}\;a \leq 6 \cdot 10^{-30}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-11}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{+42}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_11 + y1 \cdot t_1\right) + c \cdot t_10\right)\\ \mathbf{elif}\;a \leq 2.6 \cdot 10^{+80}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot t_1 + a \cdot t_4\right)\right)\\ \mathbf{elif}\;a \leq 2.05 \cdot 10^{+173}:\\ \;\;\;\;y0 \cdot \left(t_5 + t_8\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot t_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* k y2) (* j y3)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (* y2 (- (* c y0) (* a y1))))
        (t_4 (- (* z y3) (* x y2)))
        (t_5 (* y5 (- (* j y3) (* k y2))))
        (t_6 (- (* z t) (* x y)))
        (t_7 (- (* z k) (* x j)))
        (t_8 (* b t_7))
        (t_9 (* y0 (+ (+ (* c t_2) t_5) t_8)))
        (t_10 (- (* y y3) (* t y2)))
        (t_11 (- (* t j) (* y k))))
   (if (<= a -5e+101)
     (* a (+ (* y5 (- (* t y2) (* y y3))) (- (* y1 t_4) (* b t_6))))
     (if (<= a -3.2e-55)
       (* c (+ (+ (* y0 t_2) (* i t_6)) (* y4 t_10)))
       (if (<= a -5.9e-208)
         t_9
         (if (<= a -1.36e-248)
           (*
            x
            (+ (+ (* y (- (* a b) (* c i))) t_3) (* j (- (* i y1) (* b y0)))))
           (if (<= a 3.3e-282)
             t_9
             (if (<= a 6.6e-106)
               (* b (+ (+ (* a (- (* x y) (* z t))) (* y4 t_11)) (* y0 t_7)))
               (if (<= a 6e-30)
                 (* (* i y5) (- (* y k) (* t j)))
                 (if (<= a 7.5e-11)
                   (* a (* (* x y) b))
                   (if (<= a 6.2e+42)
                     (* y4 (+ (+ (* b t_11) (* y1 t_1)) (* c t_10)))
                     (if (<= a 2.6e+80)
                       (*
                        y1
                        (+ (* i (- (* x j) (* z k))) (+ (* y4 t_1) (* a t_4))))
                       (if (<= a 2.05e+173)
                         (* y0 (+ t_5 t_8))
                         (* x 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 = (k * y2) - (j * y3);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = y2 * ((c * y0) - (a * y1));
	double t_4 = (z * y3) - (x * y2);
	double t_5 = y5 * ((j * y3) - (k * y2));
	double t_6 = (z * t) - (x * y);
	double t_7 = (z * k) - (x * j);
	double t_8 = b * t_7;
	double t_9 = y0 * (((c * t_2) + t_5) + t_8);
	double t_10 = (y * y3) - (t * y2);
	double t_11 = (t * j) - (y * k);
	double tmp;
	if (a <= -5e+101) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + ((y1 * t_4) - (b * t_6)));
	} else if (a <= -3.2e-55) {
		tmp = c * (((y0 * t_2) + (i * t_6)) + (y4 * t_10));
	} else if (a <= -5.9e-208) {
		tmp = t_9;
	} else if (a <= -1.36e-248) {
		tmp = x * (((y * ((a * b) - (c * i))) + t_3) + (j * ((i * y1) - (b * y0))));
	} else if (a <= 3.3e-282) {
		tmp = t_9;
	} else if (a <= 6.6e-106) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_11)) + (y0 * t_7));
	} else if (a <= 6e-30) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (a <= 7.5e-11) {
		tmp = a * ((x * y) * b);
	} else if (a <= 6.2e+42) {
		tmp = y4 * (((b * t_11) + (y1 * t_1)) + (c * t_10));
	} else if (a <= 2.6e+80) {
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_1) + (a * t_4)));
	} else if (a <= 2.05e+173) {
		tmp = y0 * (t_5 + t_8);
	} else {
		tmp = x * 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 = (k * y2) - (j * y3)
    t_2 = (x * y2) - (z * y3)
    t_3 = y2 * ((c * y0) - (a * y1))
    t_4 = (z * y3) - (x * y2)
    t_5 = y5 * ((j * y3) - (k * y2))
    t_6 = (z * t) - (x * y)
    t_7 = (z * k) - (x * j)
    t_8 = b * t_7
    t_9 = y0 * (((c * t_2) + t_5) + t_8)
    t_10 = (y * y3) - (t * y2)
    t_11 = (t * j) - (y * k)
    if (a <= (-5d+101)) then
        tmp = a * ((y5 * ((t * y2) - (y * y3))) + ((y1 * t_4) - (b * t_6)))
    else if (a <= (-3.2d-55)) then
        tmp = c * (((y0 * t_2) + (i * t_6)) + (y4 * t_10))
    else if (a <= (-5.9d-208)) then
        tmp = t_9
    else if (a <= (-1.36d-248)) then
        tmp = x * (((y * ((a * b) - (c * i))) + t_3) + (j * ((i * y1) - (b * y0))))
    else if (a <= 3.3d-282) then
        tmp = t_9
    else if (a <= 6.6d-106) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_11)) + (y0 * t_7))
    else if (a <= 6d-30) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (a <= 7.5d-11) then
        tmp = a * ((x * y) * b)
    else if (a <= 6.2d+42) then
        tmp = y4 * (((b * t_11) + (y1 * t_1)) + (c * t_10))
    else if (a <= 2.6d+80) then
        tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_1) + (a * t_4)))
    else if (a <= 2.05d+173) then
        tmp = y0 * (t_5 + t_8)
    else
        tmp = x * 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 = (k * y2) - (j * y3);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = y2 * ((c * y0) - (a * y1));
	double t_4 = (z * y3) - (x * y2);
	double t_5 = y5 * ((j * y3) - (k * y2));
	double t_6 = (z * t) - (x * y);
	double t_7 = (z * k) - (x * j);
	double t_8 = b * t_7;
	double t_9 = y0 * (((c * t_2) + t_5) + t_8);
	double t_10 = (y * y3) - (t * y2);
	double t_11 = (t * j) - (y * k);
	double tmp;
	if (a <= -5e+101) {
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + ((y1 * t_4) - (b * t_6)));
	} else if (a <= -3.2e-55) {
		tmp = c * (((y0 * t_2) + (i * t_6)) + (y4 * t_10));
	} else if (a <= -5.9e-208) {
		tmp = t_9;
	} else if (a <= -1.36e-248) {
		tmp = x * (((y * ((a * b) - (c * i))) + t_3) + (j * ((i * y1) - (b * y0))));
	} else if (a <= 3.3e-282) {
		tmp = t_9;
	} else if (a <= 6.6e-106) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_11)) + (y0 * t_7));
	} else if (a <= 6e-30) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (a <= 7.5e-11) {
		tmp = a * ((x * y) * b);
	} else if (a <= 6.2e+42) {
		tmp = y4 * (((b * t_11) + (y1 * t_1)) + (c * t_10));
	} else if (a <= 2.6e+80) {
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_1) + (a * t_4)));
	} else if (a <= 2.05e+173) {
		tmp = y0 * (t_5 + t_8);
	} else {
		tmp = x * 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 = (k * y2) - (j * y3)
	t_2 = (x * y2) - (z * y3)
	t_3 = y2 * ((c * y0) - (a * y1))
	t_4 = (z * y3) - (x * y2)
	t_5 = y5 * ((j * y3) - (k * y2))
	t_6 = (z * t) - (x * y)
	t_7 = (z * k) - (x * j)
	t_8 = b * t_7
	t_9 = y0 * (((c * t_2) + t_5) + t_8)
	t_10 = (y * y3) - (t * y2)
	t_11 = (t * j) - (y * k)
	tmp = 0
	if a <= -5e+101:
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + ((y1 * t_4) - (b * t_6)))
	elif a <= -3.2e-55:
		tmp = c * (((y0 * t_2) + (i * t_6)) + (y4 * t_10))
	elif a <= -5.9e-208:
		tmp = t_9
	elif a <= -1.36e-248:
		tmp = x * (((y * ((a * b) - (c * i))) + t_3) + (j * ((i * y1) - (b * y0))))
	elif a <= 3.3e-282:
		tmp = t_9
	elif a <= 6.6e-106:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_11)) + (y0 * t_7))
	elif a <= 6e-30:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif a <= 7.5e-11:
		tmp = a * ((x * y) * b)
	elif a <= 6.2e+42:
		tmp = y4 * (((b * t_11) + (y1 * t_1)) + (c * t_10))
	elif a <= 2.6e+80:
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_1) + (a * t_4)))
	elif a <= 2.05e+173:
		tmp = y0 * (t_5 + t_8)
	else:
		tmp = x * 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(k * y2) - Float64(j * y3))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))
	t_4 = Float64(Float64(z * y3) - Float64(x * y2))
	t_5 = Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))
	t_6 = Float64(Float64(z * t) - Float64(x * y))
	t_7 = Float64(Float64(z * k) - Float64(x * j))
	t_8 = Float64(b * t_7)
	t_9 = Float64(y0 * Float64(Float64(Float64(c * t_2) + t_5) + t_8))
	t_10 = Float64(Float64(y * y3) - Float64(t * y2))
	t_11 = Float64(Float64(t * j) - Float64(y * k))
	tmp = 0.0
	if (a <= -5e+101)
		tmp = Float64(a * Float64(Float64(y5 * Float64(Float64(t * y2) - Float64(y * y3))) + Float64(Float64(y1 * t_4) - Float64(b * t_6))));
	elseif (a <= -3.2e-55)
		tmp = Float64(c * Float64(Float64(Float64(y0 * t_2) + Float64(i * t_6)) + Float64(y4 * t_10)));
	elseif (a <= -5.9e-208)
		tmp = t_9;
	elseif (a <= -1.36e-248)
		tmp = Float64(x * Float64(Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + t_3) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (a <= 3.3e-282)
		tmp = t_9;
	elseif (a <= 6.6e-106)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * t_11)) + Float64(y0 * t_7)));
	elseif (a <= 6e-30)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (a <= 7.5e-11)
		tmp = Float64(a * Float64(Float64(x * y) * b));
	elseif (a <= 6.2e+42)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_11) + Float64(y1 * t_1)) + Float64(c * t_10)));
	elseif (a <= 2.6e+80)
		tmp = Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(y4 * t_1) + Float64(a * t_4))));
	elseif (a <= 2.05e+173)
		tmp = Float64(y0 * Float64(t_5 + t_8));
	else
		tmp = Float64(x * 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 = (k * y2) - (j * y3);
	t_2 = (x * y2) - (z * y3);
	t_3 = y2 * ((c * y0) - (a * y1));
	t_4 = (z * y3) - (x * y2);
	t_5 = y5 * ((j * y3) - (k * y2));
	t_6 = (z * t) - (x * y);
	t_7 = (z * k) - (x * j);
	t_8 = b * t_7;
	t_9 = y0 * (((c * t_2) + t_5) + t_8);
	t_10 = (y * y3) - (t * y2);
	t_11 = (t * j) - (y * k);
	tmp = 0.0;
	if (a <= -5e+101)
		tmp = a * ((y5 * ((t * y2) - (y * y3))) + ((y1 * t_4) - (b * t_6)));
	elseif (a <= -3.2e-55)
		tmp = c * (((y0 * t_2) + (i * t_6)) + (y4 * t_10));
	elseif (a <= -5.9e-208)
		tmp = t_9;
	elseif (a <= -1.36e-248)
		tmp = x * (((y * ((a * b) - (c * i))) + t_3) + (j * ((i * y1) - (b * y0))));
	elseif (a <= 3.3e-282)
		tmp = t_9;
	elseif (a <= 6.6e-106)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * t_11)) + (y0 * t_7));
	elseif (a <= 6e-30)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (a <= 7.5e-11)
		tmp = a * ((x * y) * b);
	elseif (a <= 6.2e+42)
		tmp = y4 * (((b * t_11) + (y1 * t_1)) + (c * t_10));
	elseif (a <= 2.6e+80)
		tmp = y1 * ((i * ((x * j) - (z * k))) + ((y4 * t_1) + (a * t_4)));
	elseif (a <= 2.05e+173)
		tmp = y0 * (t_5 + t_8);
	else
		tmp = x * 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[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$7 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(b * t$95$7), $MachinePrecision]}, Block[{t$95$9 = N[(y0 * N[(N[(N[(c * t$95$2), $MachinePrecision] + t$95$5), $MachinePrecision] + t$95$8), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$11 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -5e+101], N[(a * N[(N[(y5 * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y1 * t$95$4), $MachinePrecision] - N[(b * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.2e-55], N[(c * N[(N[(N[(y0 * t$95$2), $MachinePrecision] + N[(i * t$95$6), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5.9e-208], t$95$9, If[LessEqual[a, -1.36e-248], N[(x * N[(N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.3e-282], t$95$9, If[LessEqual[a, 6.6e-106], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * t$95$11), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6e-30], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 7.5e-11], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.2e+42], N[(y4 * N[(N[(N[(b * t$95$11), $MachinePrecision] + N[(y1 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(c * t$95$10), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.6e+80], N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(y4 * t$95$1), $MachinePrecision] + N[(a * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.05e+173], N[(y0 * N[(t$95$5 + t$95$8), $MachinePrecision]), $MachinePrecision], N[(x * t$95$3), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if a < -4.99999999999999989e101

   1. Initial program 16.7%

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

   2. Taylor expanded in a around -inf 60.8%

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

      1. mul-1-neg 60.8%

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

      2. *-commutative 60.8%

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

      3. distribute-rgt-neg-in 60.8%

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

   4. Simplified 60.8%

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

   if -4.99999999999999989e101 < a < -3.2000000000000001e-55

   1. Initial program 46.6%

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

   2. Taylor expanded in c around inf 57.3%

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

      1. +-commutative 57.3%

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

      2. mul-1-neg 57.3%

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

      3. unsub-neg 57.3%

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

      4. *-commutative 57.3%

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

      5. *-commutative 57.3%

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

      6. *-commutative 57.3%

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

      7. *-commutative 57.3%

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

   4. Simplified 57.3%

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

   if -3.2000000000000001e-55 < a < -5.90000000000000023e-208 or -1.3599999999999999e-248 < a < 3.3e-282

   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. Taylor expanded in y0 around inf 63.0%

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

      1. +-commutative 63.0%

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

      2. mul-1-neg 63.0%

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

      3. unsub-neg 63.0%

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

      4. *-commutative 63.0%

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

      5. *-commutative 63.0%

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

      6. *-commutative 63.0%

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

      7. *-commutative 63.0%

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

   4. Simplified 63.0%

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

   if -5.90000000000000023e-208 < a < -1.3599999999999999e-248

   1. Initial program 55.6%

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

   2. Taylor expanded in x around inf 89.0%

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

   if 3.3e-282 < a < 6.60000000000000031e-106

   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. Taylor expanded in b around inf 45.5%

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

   if 6.60000000000000031e-106 < a < 5.9999999999999998e-30

   1. Initial program 25.0%

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

   2. Taylor expanded in y5 around -inf 59.4%

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

   3. Taylor expanded in i around inf 75.4%

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

      1. cancel-sign-sub-inv 75.4%

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

      2. fma-udef 75.4%

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

      3. associate-*r* 83.4%

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

      4. fma-udef 83.4%

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

      5. cancel-sign-sub-inv 83.4%

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

   5. Simplified 83.4%

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

   if 5.9999999999999998e-30 < a < 7.5e-11

   1. Initial program 0.0%

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

   2. Taylor expanded in b around inf 50.0%

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

   3. Taylor expanded in x around inf 56.3%

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

      1. *-commutative 56.3%

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

   5. Simplified 56.3%

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

   6. Taylor expanded in a around inf 100.0%

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

   if 7.5e-11 < a < 6.2000000000000003e42

   1. Initial program 11.5%

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

   2. Taylor expanded in y4 around inf 60.5%

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

   if 6.2000000000000003e42 < a < 2.59999999999999982e80

   1. Initial program 21.9%

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

   2. Taylor expanded in y1 around -inf 61.9%

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

      1. mul-1-neg 61.9%

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

      2. *-commutative 61.9%

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

      3. distribute-rgt-neg-in 61.9%

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

   4. Simplified 61.9%

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

   if 2.59999999999999982e80 < a < 2.04999999999999988e173

   1. Initial program 35.0%

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

   2. Taylor expanded in y0 around inf 60.5%

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

      1. +-commutative 60.5%

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

      2. mul-1-neg 60.5%

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

      3. unsub-neg 60.5%

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

      4. *-commutative 60.5%

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

      5. *-commutative 60.5%

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

      6. *-commutative 60.5%

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

      7. *-commutative 60.5%

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

   4. Simplified 60.5%

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

   5. Taylor expanded in c around 0 65.6%

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

      1. mul-1-neg 65.6%

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

      2. distribute-rgt-neg-in 65.6%

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

      3. *-commutative 65.6%

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

      4. *-commutative 65.6%

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

      5. distribute-neg-in 65.6%

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

      6. unsub-neg 65.6%

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

      7. distribute-rgt-neg-in 65.6%

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

      8. neg-sub0 65.6%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(0 - \left(x \cdot j - z \cdot k\right)\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      9. associate-+l- 65.6%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(\left(0 - x \cdot j\right) + z \cdot k\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      10. neg-sub0 65.6%

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

      11. +-commutative 65.6%

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

      12. sub-neg 65.6%

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

      13. sub-neg 65.6%

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

   7. Simplified 65.6%

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

   if 2.04999999999999988e173 < a

   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. Taylor expanded in y2 around inf 44.2%

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

   3. Taylor expanded in x around inf 64.3%

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

      1. *-commutative 64.3%

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

   5. Simplified 64.3%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 61.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -5 \cdot 10^{+101}:\\ \;\;\;\;a \cdot \left(y5 \cdot \left(t \cdot y2 - y \cdot y3\right) + \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right) - b \cdot \left(z \cdot t - x \cdot y\right)\right)\right)\\ \mathbf{elif}\;a \leq -3.2 \cdot 10^{-55}:\\ \;\;\;\;c \cdot \left(\left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right) + i \cdot \left(z \cdot t - x \cdot y\right)\right) + y4 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -5.9 \cdot 10^{-208}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq -1.36 \cdot 10^{-248}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{-282}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 6.6 \cdot 10^{-106}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;a \leq 6 \cdot 10^{-30}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 7.5 \cdot 10^{-11}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{+42}:\\ \;\;\;\;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}\;a \leq 2.6 \cdot 10^{+80}:\\ \;\;\;\;y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) + \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right) + a \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\right)\\ \mathbf{elif}\;a \leq 2.05 \cdot 10^{+173}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 9: 39.7% accurate, 1.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := k \cdot y2 - j \cdot y3\\ t_2 := t \cdot j - y \cdot k\\ t_3 := y4 \cdot t_2\\ t_4 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ t_5 := y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - \left(i \cdot t_2 + y0 \cdot t_1\right)\right)\\ t_6 := z \cdot k - x \cdot j\\ \mathbf{if}\;y4 \leq -4.6 \cdot 10^{+164}:\\ \;\;\;\;y4 \cdot \left(\left(b \cdot t_2 + y1 \cdot t_1\right) + c \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\\ \mathbf{elif}\;y4 \leq -3.6 \cdot 10^{+83}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y4 \leq -7.2 \cdot 10^{+36}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq -1.4 \cdot 10^{-141}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y4 \leq -1.22 \cdot 10^{-180}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot t_6\right)\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{-275}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y4 \leq 9.4 \cdot 10^{-296}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 5.5 \cdot 10^{-91}:\\ \;\;\;\;t_5\\ \mathbf{elif}\;y4 \leq 3 \cdot 10^{+83}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y4 \leq 9.5 \cdot 10^{+192}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + t_3\right) + y0 \cdot t_6\right)\\ \mathbf{elif}\;y4 \leq 4.4 \cdot 10^{+278}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot t_1\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot t_3\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* k y2) (* j y3)))
        (t_2 (- (* t j) (* y k)))
        (t_3 (* y4 t_2))
        (t_4
         (*
          i
          (+
           (* y1 (- (* x j) (* z k)))
           (+ (* c (- (* z t) (* x y))) (* y5 (- (* y k) (* t j)))))))
        (t_5 (* y5 (- (* a (- (* t y2) (* y y3))) (+ (* i t_2) (* y0 t_1)))))
        (t_6 (- (* z k) (* x j))))
   (if (<= y4 -4.6e+164)
     (* y4 (+ (+ (* b t_2) (* y1 t_1)) (* c (- (* y y3) (* t y2)))))
     (if (<= y4 -3.6e+83)
       t_4
       (if (<= y4 -7.2e+36)
         (* k (* y2 (- (* y1 y4) (* y0 y5))))
         (if (<= y4 -1.4e-141)
           t_5
           (if (<= y4 -1.22e-180)
             (* y0 (+ (* y5 (- (* j y3) (* k y2))) (* b t_6)))
             (if (<= y4 -1.8e-275)
               t_4
               (if (<= y4 9.4e-296)
                 (* y0 (* y2 (- (* x c) (* k y5))))
                 (if (<= y4 5.5e-91)
                   t_5
                   (if (<= y4 3e+83)
                     t_4
                     (if (<= y4 9.5e+192)
                       (* b (+ (+ (* a (- (* x y) (* z t))) t_3) (* y0 t_6)))
                       (if (<= y4 4.4e+278)
                         (* y1 (* y4 t_1))
                         (* b 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 = (k * y2) - (j * y3);
	double t_2 = (t * j) - (y * k);
	double t_3 = y4 * t_2;
	double t_4 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	double t_5 = y5 * ((a * ((t * y2) - (y * y3))) - ((i * t_2) + (y0 * t_1)));
	double t_6 = (z * k) - (x * j);
	double tmp;
	if (y4 <= -4.6e+164) {
		tmp = y4 * (((b * t_2) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	} else if (y4 <= -3.6e+83) {
		tmp = t_4;
	} else if (y4 <= -7.2e+36) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y4 <= -1.4e-141) {
		tmp = t_5;
	} else if (y4 <= -1.22e-180) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * t_6));
	} else if (y4 <= -1.8e-275) {
		tmp = t_4;
	} else if (y4 <= 9.4e-296) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y4 <= 5.5e-91) {
		tmp = t_5;
	} else if (y4 <= 3e+83) {
		tmp = t_4;
	} else if (y4 <= 9.5e+192) {
		tmp = b * (((a * ((x * y) - (z * t))) + t_3) + (y0 * t_6));
	} else if (y4 <= 4.4e+278) {
		tmp = y1 * (y4 * t_1);
	} else {
		tmp = b * t_3;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: tmp
    t_1 = (k * y2) - (j * y3)
    t_2 = (t * j) - (y * k)
    t_3 = y4 * t_2
    t_4 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))))
    t_5 = y5 * ((a * ((t * y2) - (y * y3))) - ((i * t_2) + (y0 * t_1)))
    t_6 = (z * k) - (x * j)
    if (y4 <= (-4.6d+164)) then
        tmp = y4 * (((b * t_2) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))))
    else if (y4 <= (-3.6d+83)) then
        tmp = t_4
    else if (y4 <= (-7.2d+36)) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (y4 <= (-1.4d-141)) then
        tmp = t_5
    else if (y4 <= (-1.22d-180)) then
        tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * t_6))
    else if (y4 <= (-1.8d-275)) then
        tmp = t_4
    else if (y4 <= 9.4d-296) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (y4 <= 5.5d-91) then
        tmp = t_5
    else if (y4 <= 3d+83) then
        tmp = t_4
    else if (y4 <= 9.5d+192) then
        tmp = b * (((a * ((x * y) - (z * t))) + t_3) + (y0 * t_6))
    else if (y4 <= 4.4d+278) then
        tmp = y1 * (y4 * t_1)
    else
        tmp = b * 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 = (k * y2) - (j * y3);
	double t_2 = (t * j) - (y * k);
	double t_3 = y4 * t_2;
	double t_4 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	double t_5 = y5 * ((a * ((t * y2) - (y * y3))) - ((i * t_2) + (y0 * t_1)));
	double t_6 = (z * k) - (x * j);
	double tmp;
	if (y4 <= -4.6e+164) {
		tmp = y4 * (((b * t_2) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	} else if (y4 <= -3.6e+83) {
		tmp = t_4;
	} else if (y4 <= -7.2e+36) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (y4 <= -1.4e-141) {
		tmp = t_5;
	} else if (y4 <= -1.22e-180) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * t_6));
	} else if (y4 <= -1.8e-275) {
		tmp = t_4;
	} else if (y4 <= 9.4e-296) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (y4 <= 5.5e-91) {
		tmp = t_5;
	} else if (y4 <= 3e+83) {
		tmp = t_4;
	} else if (y4 <= 9.5e+192) {
		tmp = b * (((a * ((x * y) - (z * t))) + t_3) + (y0 * t_6));
	} else if (y4 <= 4.4e+278) {
		tmp = y1 * (y4 * t_1);
	} else {
		tmp = b * 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 = (k * y2) - (j * y3)
	t_2 = (t * j) - (y * k)
	t_3 = y4 * t_2
	t_4 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))))
	t_5 = y5 * ((a * ((t * y2) - (y * y3))) - ((i * t_2) + (y0 * t_1)))
	t_6 = (z * k) - (x * j)
	tmp = 0
	if y4 <= -4.6e+164:
		tmp = y4 * (((b * t_2) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))))
	elif y4 <= -3.6e+83:
		tmp = t_4
	elif y4 <= -7.2e+36:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif y4 <= -1.4e-141:
		tmp = t_5
	elif y4 <= -1.22e-180:
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * t_6))
	elif y4 <= -1.8e-275:
		tmp = t_4
	elif y4 <= 9.4e-296:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif y4 <= 5.5e-91:
		tmp = t_5
	elif y4 <= 3e+83:
		tmp = t_4
	elif y4 <= 9.5e+192:
		tmp = b * (((a * ((x * y) - (z * t))) + t_3) + (y0 * t_6))
	elif y4 <= 4.4e+278:
		tmp = y1 * (y4 * t_1)
	else:
		tmp = b * 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(k * y2) - Float64(j * y3))
	t_2 = Float64(Float64(t * j) - Float64(y * k))
	t_3 = Float64(y4 * t_2)
	t_4 = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y5 * Float64(Float64(y * k) - Float64(t * j))))))
	t_5 = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) - Float64(Float64(i * t_2) + Float64(y0 * t_1))))
	t_6 = Float64(Float64(z * k) - Float64(x * j))
	tmp = 0.0
	if (y4 <= -4.6e+164)
		tmp = Float64(y4 * Float64(Float64(Float64(b * t_2) + Float64(y1 * t_1)) + Float64(c * Float64(Float64(y * y3) - Float64(t * y2)))));
	elseif (y4 <= -3.6e+83)
		tmp = t_4;
	elseif (y4 <= -7.2e+36)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (y4 <= -1.4e-141)
		tmp = t_5;
	elseif (y4 <= -1.22e-180)
		tmp = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(b * t_6)));
	elseif (y4 <= -1.8e-275)
		tmp = t_4;
	elseif (y4 <= 9.4e-296)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (y4 <= 5.5e-91)
		tmp = t_5;
	elseif (y4 <= 3e+83)
		tmp = t_4;
	elseif (y4 <= 9.5e+192)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + t_3) + Float64(y0 * t_6)));
	elseif (y4 <= 4.4e+278)
		tmp = Float64(y1 * Float64(y4 * t_1));
	else
		tmp = Float64(b * 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 = (k * y2) - (j * y3);
	t_2 = (t * j) - (y * k);
	t_3 = y4 * t_2;
	t_4 = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	t_5 = y5 * ((a * ((t * y2) - (y * y3))) - ((i * t_2) + (y0 * t_1)));
	t_6 = (z * k) - (x * j);
	tmp = 0.0;
	if (y4 <= -4.6e+164)
		tmp = y4 * (((b * t_2) + (y1 * t_1)) + (c * ((y * y3) - (t * y2))));
	elseif (y4 <= -3.6e+83)
		tmp = t_4;
	elseif (y4 <= -7.2e+36)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (y4 <= -1.4e-141)
		tmp = t_5;
	elseif (y4 <= -1.22e-180)
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * t_6));
	elseif (y4 <= -1.8e-275)
		tmp = t_4;
	elseif (y4 <= 9.4e-296)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (y4 <= 5.5e-91)
		tmp = t_5;
	elseif (y4 <= 3e+83)
		tmp = t_4;
	elseif (y4 <= 9.5e+192)
		tmp = b * (((a * ((x * y) - (z * t))) + t_3) + (y0 * t_6));
	elseif (y4 <= 4.4e+278)
		tmp = y1 * (y4 * t_1);
	else
		tmp = b * 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[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y4 * t$95$2), $MachinePrecision]}, Block[{t$95$4 = N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(i * t$95$2), $MachinePrecision] + N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y4, -4.6e+164], N[(y4 * N[(N[(N[(b * t$95$2), $MachinePrecision] + N[(y1 * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(c * N[(N[(y * y3), $MachinePrecision] - N[(t * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -3.6e+83], t$95$4, If[LessEqual[y4, -7.2e+36], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.4e-141], t$95$5, If[LessEqual[y4, -1.22e-180], N[(y0 * N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, -1.8e-275], t$95$4, If[LessEqual[y4, 9.4e-296], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 5.5e-91], t$95$5, If[LessEqual[y4, 3e+83], t$95$4, If[LessEqual[y4, 9.5e+192], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$3), $MachinePrecision] + N[(y0 * t$95$6), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y4, 4.4e+278], N[(y1 * N[(y4 * t$95$1), $MachinePrecision]), $MachinePrecision], N[(b * t$95$3), $MachinePrecision]]]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y4 < -4.5999999999999999e164

   1. Initial program 17.8%

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

   2. Taylor expanded in y4 around inf 75.1%

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

   if -4.5999999999999999e164 < y4 < -3.5999999999999997e83 or -1.22e-180 < y4 < -1.79999999999999985e-275 or 5.49999999999999965e-91 < y4 < 3e83

   1. Initial program 28.0%

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

   2. Taylor expanded in i around -inf 59.2%

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

   if -3.5999999999999997e83 < y4 < -7.1999999999999995e36

   1. Initial program 27.3%

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

   2. Taylor expanded in y2 around inf 45.3%

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

   3. Taylor expanded in k around inf 63.6%

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

      1. *-commutative 63.6%

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

      2. *-commutative 63.6%

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

   5. Simplified 63.6%

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

   if -7.1999999999999995e36 < y4 < -1.40000000000000006e-141 or 9.4e-296 < y4 < 5.49999999999999965e-91

   1. Initial program 45.3%

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

   2. Taylor expanded in y5 around -inf 63.8%

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

   if -1.40000000000000006e-141 < y4 < -1.22e-180

   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. Taylor expanded in y0 around inf 60.1%

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

      1. +-commutative 60.1%

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

      2. mul-1-neg 60.1%

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

      3. unsub-neg 60.1%

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

      4. *-commutative 60.1%

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

      5. *-commutative 60.1%

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

      6. *-commutative 60.1%

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

      7. *-commutative 60.1%

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

   4. Simplified 60.1%

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

   5. Taylor expanded in c around 0 70.5%

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

      1. mul-1-neg 70.5%

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

      2. distribute-rgt-neg-in 70.5%

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

      3. *-commutative 70.5%

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

      4. *-commutative 70.5%

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

      5. distribute-neg-in 70.5%

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

      6. unsub-neg 70.5%

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

      7. distribute-rgt-neg-in 70.5%

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

      8. neg-sub0 70.5%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(0 - \left(x \cdot j - z \cdot k\right)\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      9. associate-+l- 70.5%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(\left(0 - x \cdot j\right) + z \cdot k\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      10. neg-sub0 70.5%

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

      11. +-commutative 70.5%

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

      12. sub-neg 70.5%

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

      13. sub-neg 70.5%

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

   7. Simplified 70.5%

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

   if -1.79999999999999985e-275 < y4 < 9.4e-296

   1. Initial program 21.9%

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

   2. Taylor expanded in y2 around inf 73.3%

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

   3. Taylor expanded in y0 around -inf 78.2%

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

      1. mul-1-neg 78.2%

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

      2. distribute-rgt-neg-in 78.2%

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

      3. +-commutative 78.2%

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

      4. mul-1-neg 78.2%

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

      5. unsub-neg 78.2%

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

      6. *-commutative 78.2%

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

      7. *-commutative 78.2%

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

   5. Simplified 78.2%

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

   if 3e83 < y4 < 9.49999999999999931e192

   1. Initial program 29.3%

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

   2. Taylor expanded in b around inf 64.7%

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

   if 9.49999999999999931e192 < y4 < 4.39999999999999978e278

   1. Initial program 11.8%

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

   2. Taylor expanded in y1 around inf 53.1%

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

      1. distribute-lft-out-- 53.1%

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

      2. *-commutative 53.1%

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

      3. *-commutative 53.1%

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

      4. *-commutative 53.1%

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

   4. Simplified 53.1%

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

   5. Taylor expanded in y4 around inf 65.1%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 65.1%

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

   7. Simplified 65.1%

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

   if 4.39999999999999978e278 < y4

   1. Initial program 0.0%

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

   2. Taylor expanded in b around inf 80.7%

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

   3. Taylor expanded in y4 around inf 80.7%

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

4. Final simplification 65.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y4 \leq -4.6 \cdot 10^{+164}:\\ \;\;\;\;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}\;y4 \leq -3.6 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -7.2 \cdot 10^{+36}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq -1.4 \cdot 10^{-141}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - \left(i \cdot \left(t \cdot j - y \cdot k\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;y4 \leq -1.22 \cdot 10^{-180}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq -1.8 \cdot 10^{-275}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 9.4 \cdot 10^{-296}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;y4 \leq 5.5 \cdot 10^{-91}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - \left(i \cdot \left(t \cdot j - y \cdot k\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 3 \cdot 10^{+83}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;y4 \leq 9.5 \cdot 10^{+192}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y4 \leq 4.4 \cdot 10^{+278}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \end{array} \]

Alternative 10: 41.9% accurate, 2.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := a \cdot b - c \cdot i\\ t_2 := y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot t_1\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ t_3 := y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - \left(i \cdot \left(t \cdot j - y \cdot k\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ t_4 := c \cdot y0 - a \cdot y1\\ \mathbf{if}\;y \leq -2.4 \cdot 10^{-117}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -9 \cdot 10^{-223}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq -1.65 \cdot 10^{-294}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;y \leq 1.95 \cdot 10^{-301}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{-191}:\\ \;\;\;\;x \cdot \left(\left(y \cdot t_1 + y2 \cdot t_4\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{-133}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{-86}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;y \leq 6.9 \cdot 10^{+75}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot t_4\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* a b) (* c i)))
        (t_2
         (*
          y
          (+
           (+ (* k (- (* i y5) (* b y4))) (* x t_1))
           (* y3 (- (* c y4) (* a y5))))))
        (t_3
         (*
          y5
          (-
           (* a (- (* t y2) (* y y3)))
           (+ (* i (- (* t j) (* y k))) (* y0 (- (* k y2) (* j y3)))))))
        (t_4 (- (* c y0) (* a y1))))
   (if (<= y -2.4e-117)
     t_2
     (if (<= y -9e-223)
       (*
        y0
        (+
         (+ (* c (- (* x y2) (* z y3))) (* y5 (- (* j y3) (* k y2))))
         (* b (- (* z k) (* x j)))))
       (if (<= y -1.65e-294)
         (*
          i
          (+
           (* y1 (- (* x j) (* z k)))
           (+ (* c (- (* z t) (* x y))) (* y5 (- (* y k) (* t j))))))
         (if (<= y 1.95e-301)
           t_3
           (if (<= y 1.75e-191)
             (* x (+ (+ (* y t_1) (* y2 t_4)) (* j (- (* i y1) (* b y0)))))
             (if (<= y 2.4e-133)
               t_3
               (if (<= y 1.35e-86)
                 (* b (* t (- (* j y4) (* z a))))
                 (if (<= y 6.9e+75)
                   (*
                    y2
                    (+
                     (+ (* k (- (* y1 y4) (* y0 y5))) (* x t_4))
                     (* t (- (* a y5) (* c y4)))))
                   t_2))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * b) - (c * i);
	double t_2 = y * (((k * ((i * y5) - (b * y4))) + (x * t_1)) + (y3 * ((c * y4) - (a * y5))));
	double t_3 = y5 * ((a * ((t * y2) - (y * y3))) - ((i * ((t * j) - (y * k))) + (y0 * ((k * y2) - (j * y3)))));
	double t_4 = (c * y0) - (a * y1);
	double tmp;
	if (y <= -2.4e-117) {
		tmp = t_2;
	} else if (y <= -9e-223) {
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	} else if (y <= -1.65e-294) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	} else if (y <= 1.95e-301) {
		tmp = t_3;
	} else if (y <= 1.75e-191) {
		tmp = x * (((y * t_1) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	} else if (y <= 2.4e-133) {
		tmp = t_3;
	} else if (y <= 1.35e-86) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (y <= 6.9e+75) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = (a * b) - (c * i)
    t_2 = y * (((k * ((i * y5) - (b * y4))) + (x * t_1)) + (y3 * ((c * y4) - (a * y5))))
    t_3 = y5 * ((a * ((t * y2) - (y * y3))) - ((i * ((t * j) - (y * k))) + (y0 * ((k * y2) - (j * y3)))))
    t_4 = (c * y0) - (a * y1)
    if (y <= (-2.4d-117)) then
        tmp = t_2
    else if (y <= (-9d-223)) then
        tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
    else if (y <= (-1.65d-294)) then
        tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))))
    else if (y <= 1.95d-301) then
        tmp = t_3
    else if (y <= 1.75d-191) then
        tmp = x * (((y * t_1) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))))
    else if (y <= 2.4d-133) then
        tmp = t_3
    else if (y <= 1.35d-86) then
        tmp = b * (t * ((j * y4) - (z * a)))
    else if (y <= 6.9d+75) then
        tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))))
    else
        tmp = t_2
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (a * b) - (c * i);
	double t_2 = y * (((k * ((i * y5) - (b * y4))) + (x * t_1)) + (y3 * ((c * y4) - (a * y5))));
	double t_3 = y5 * ((a * ((t * y2) - (y * y3))) - ((i * ((t * j) - (y * k))) + (y0 * ((k * y2) - (j * y3)))));
	double t_4 = (c * y0) - (a * y1);
	double tmp;
	if (y <= -2.4e-117) {
		tmp = t_2;
	} else if (y <= -9e-223) {
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	} else if (y <= -1.65e-294) {
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	} else if (y <= 1.95e-301) {
		tmp = t_3;
	} else if (y <= 1.75e-191) {
		tmp = x * (((y * t_1) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	} else if (y <= 2.4e-133) {
		tmp = t_3;
	} else if (y <= 1.35e-86) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (y <= 6.9e+75) {
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))));
	} else {
		tmp = t_2;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (a * b) - (c * i)
	t_2 = y * (((k * ((i * y5) - (b * y4))) + (x * t_1)) + (y3 * ((c * y4) - (a * y5))))
	t_3 = y5 * ((a * ((t * y2) - (y * y3))) - ((i * ((t * j) - (y * k))) + (y0 * ((k * y2) - (j * y3)))))
	t_4 = (c * y0) - (a * y1)
	tmp = 0
	if y <= -2.4e-117:
		tmp = t_2
	elif y <= -9e-223:
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))))
	elif y <= -1.65e-294:
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))))
	elif y <= 1.95e-301:
		tmp = t_3
	elif y <= 1.75e-191:
		tmp = x * (((y * t_1) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))))
	elif y <= 2.4e-133:
		tmp = t_3
	elif y <= 1.35e-86:
		tmp = b * (t * ((j * y4) - (z * a)))
	elif y <= 6.9e+75:
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))))
	else:
		tmp = t_2
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(a * b) - Float64(c * i))
	t_2 = Float64(y * Float64(Float64(Float64(k * Float64(Float64(i * y5) - Float64(b * y4))) + Float64(x * t_1)) + Float64(y3 * Float64(Float64(c * y4) - Float64(a * y5)))))
	t_3 = Float64(y5 * Float64(Float64(a * Float64(Float64(t * y2) - Float64(y * y3))) - Float64(Float64(i * Float64(Float64(t * j) - Float64(y * k))) + Float64(y0 * Float64(Float64(k * y2) - Float64(j * y3))))))
	t_4 = Float64(Float64(c * y0) - Float64(a * y1))
	tmp = 0.0
	if (y <= -2.4e-117)
		tmp = t_2;
	elseif (y <= -9e-223)
		tmp = Float64(y0 * Float64(Float64(Float64(c * Float64(Float64(x * y2) - Float64(z * y3))) + Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2)))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	elseif (y <= -1.65e-294)
		tmp = Float64(i * Float64(Float64(y1 * Float64(Float64(x * j) - Float64(z * k))) + Float64(Float64(c * Float64(Float64(z * t) - Float64(x * y))) + Float64(y5 * Float64(Float64(y * k) - Float64(t * j))))));
	elseif (y <= 1.95e-301)
		tmp = t_3;
	elseif (y <= 1.75e-191)
		tmp = Float64(x * Float64(Float64(Float64(y * t_1) + Float64(y2 * t_4)) + Float64(j * Float64(Float64(i * y1) - Float64(b * y0)))));
	elseif (y <= 2.4e-133)
		tmp = t_3;
	elseif (y <= 1.35e-86)
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	elseif (y <= 6.9e+75)
		tmp = Float64(y2 * Float64(Float64(Float64(k * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(x * t_4)) + Float64(t * Float64(Float64(a * y5) - Float64(c * y4)))));
	else
		tmp = t_2;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (a * b) - (c * i);
	t_2 = y * (((k * ((i * y5) - (b * y4))) + (x * t_1)) + (y3 * ((c * y4) - (a * y5))));
	t_3 = y5 * ((a * ((t * y2) - (y * y3))) - ((i * ((t * j) - (y * k))) + (y0 * ((k * y2) - (j * y3)))));
	t_4 = (c * y0) - (a * y1);
	tmp = 0.0;
	if (y <= -2.4e-117)
		tmp = t_2;
	elseif (y <= -9e-223)
		tmp = y0 * (((c * ((x * y2) - (z * y3))) + (y5 * ((j * y3) - (k * y2)))) + (b * ((z * k) - (x * j))));
	elseif (y <= -1.65e-294)
		tmp = i * ((y1 * ((x * j) - (z * k))) + ((c * ((z * t) - (x * y))) + (y5 * ((y * k) - (t * j)))));
	elseif (y <= 1.95e-301)
		tmp = t_3;
	elseif (y <= 1.75e-191)
		tmp = x * (((y * t_1) + (y2 * t_4)) + (j * ((i * y1) - (b * y0))));
	elseif (y <= 2.4e-133)
		tmp = t_3;
	elseif (y <= 1.35e-86)
		tmp = b * (t * ((j * y4) - (z * a)));
	elseif (y <= 6.9e+75)
		tmp = y2 * (((k * ((y1 * y4) - (y0 * y5))) + (x * t_4)) + (t * ((a * y5) - (c * y4))));
	else
		tmp = t_2;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y * N[(N[(N[(k * N[(N[(i * y5), $MachinePrecision] - N[(b * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$1), $MachinePrecision]), $MachinePrecision] + N[(y3 * N[(N[(c * y4), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(y5 * N[(N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(i * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -2.4e-117], t$95$2, If[LessEqual[y, -9e-223], N[(y0 * N[(N[(N[(c * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.65e-294], N[(i * N[(N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(c * N[(N[(z * t), $MachinePrecision] - N[(x * y), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y5 * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.95e-301], t$95$3, If[LessEqual[y, 1.75e-191], N[(x * N[(N[(N[(y * t$95$1), $MachinePrecision] + N[(y2 * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(j * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 2.4e-133], t$95$3, If[LessEqual[y, 1.35e-86], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 6.9e+75], N[(y2 * N[(N[(N[(k * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(x * t$95$4), $MachinePrecision]), $MachinePrecision] + N[(t * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$2]]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -2.40000000000000014e-117 or 6.9000000000000004e75 < y

   1. Initial program 26.6%

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

   2. Taylor expanded in y around inf 59.6%

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

   if -2.40000000000000014e-117 < y < -8.99999999999999935e-223

   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. Taylor expanded in y0 around inf 57.4%

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

      1. +-commutative 57.4%

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

      2. mul-1-neg 57.4%

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

      3. unsub-neg 57.4%

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

      4. *-commutative 57.4%

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

      5. *-commutative 57.4%

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

      6. *-commutative 57.4%

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

      7. *-commutative 57.4%

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

   4. Simplified 57.4%

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

   if -8.99999999999999935e-223 < y < -1.65e-294

   1. Initial program 31.3%

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

   2. Taylor expanded in i around -inf 68.8%

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

   if -1.65e-294 < y < 1.9500000000000001e-301 or 1.75000000000000003e-191 < y < 2.4e-133

   1. Initial program 39.1%

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

   2. Taylor expanded in y5 around -inf 78.4%

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

   if 1.9500000000000001e-301 < y < 1.75000000000000003e-191

   1. Initial program 41.5%

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

   2. Taylor expanded in x around inf 61.0%

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

   if 2.4e-133 < y < 1.34999999999999996e-86

   1. Initial program 29.8%

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

   2. Taylor expanded in b around inf 51.2%

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

   3. Taylor expanded in t around -inf 71.1%

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

      1. mul-1-neg 71.1%

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

      2. distribute-rgt-neg-in 71.1%

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

      3. +-commutative 71.1%

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

      4. mul-1-neg 71.1%

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

      5. unsub-neg 71.1%

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

   5. Simplified 71.1%

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

   if 1.34999999999999996e-86 < y < 6.9000000000000004e75

   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. Taylor expanded in y2 around inf 65.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 62.5%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -2.4 \cdot 10^{-117}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq -9 \cdot 10^{-223}:\\ \;\;\;\;y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - z \cdot y3\right) + y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq -1.65 \cdot 10^{-294}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right) + \left(c \cdot \left(z \cdot t - x \cdot y\right) + y5 \cdot \left(y \cdot k - t \cdot j\right)\right)\right)\\ \mathbf{elif}\;y \leq 1.95 \cdot 10^{-301}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - \left(i \cdot \left(t \cdot j - y \cdot k\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;y \leq 1.75 \cdot 10^{-191}:\\ \;\;\;\;x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + j \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y \leq 2.4 \cdot 10^{-133}:\\ \;\;\;\;y5 \cdot \left(a \cdot \left(t \cdot y2 - y \cdot y3\right) - \left(i \cdot \left(t \cdot j - y \cdot k\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)\\ \mathbf{elif}\;y \leq 1.35 \cdot 10^{-86}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;y \leq 6.9 \cdot 10^{+75}:\\ \;\;\;\;y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) + t \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y \cdot \left(\left(k \cdot \left(i \cdot y5 - b \cdot y4\right) + x \cdot \left(a \cdot b - c \cdot i\right)\right) + y3 \cdot \left(c \cdot y4 - a \cdot y5\right)\right)\\ \end{array} \]

Alternative 11: 31.6% accurate, 2.2× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ t_2 := y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\\ \mathbf{if}\;a \leq -1 \cdot 10^{+226}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -5.3 \cdot 10^{+182}:\\ \;\;\;\;\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5\right)\\ \mathbf{elif}\;a \leq -5.2 \cdot 10^{+104}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -1.32 \cdot 10^{+86}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -1.15 \cdot 10^{-10}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + t_2\right)\\ \mathbf{elif}\;a \leq -1.38 \cdot 10^{-213}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -1.08 \cdot 10^{-248}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-159}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.85 \cdot 10^{+54}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 1.12 \cdot 10^{+174}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot t_2\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* k (- (* z y0) (* y y4)))))
        (t_2 (* y2 (- (* c y0) (* a y1)))))
   (if (<= a -1e+226)
     (* x (* y1 (- (* i j) (* a y2))))
     (if (<= a -5.3e+182)
       (* (- (* t y2) (* y y3)) (* a y5))
       (if (<= a -5.2e+104)
         (* y1 (* y2 (- (* k y4) (* x a))))
         (if (<= a -1.32e+86)
           t_1
           (if (<= a -1.15e-10)
             (* x (+ (* y (- (* a b) (* c i))) t_2))
             (if (<= a -1.38e-213)
               (* y0 (* k (- (* z b) (* y2 y5))))
               (if (<= a -1.08e-248)
                 (* i (* x (- (* j y1) (* y c))))
                 (if (<= a -1.1e-304)
                   (* c (* y0 (- (* x y2) (* z y3))))
                   (if (<= a 1.4e-159)
                     t_1
                     (if (<= a 1.85e+54)
                       (* (* i y5) (- (* y k) (* t j)))
                       (if (<= a 1.12e+174)
                         (*
                          y0
                          (+
                           (* y5 (- (* j y3) (* k y2)))
                           (* b (- (* z k) (* x j)))))
                         (* x 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 * (k * ((z * y0) - (y * y4)));
	double t_2 = y2 * ((c * y0) - (a * y1));
	double tmp;
	if (a <= -1e+226) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (a <= -5.3e+182) {
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	} else if (a <= -5.2e+104) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (a <= -1.32e+86) {
		tmp = t_1;
	} else if (a <= -1.15e-10) {
		tmp = x * ((y * ((a * b) - (c * i))) + t_2);
	} else if (a <= -1.38e-213) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (a <= -1.08e-248) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -1.1e-304) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (a <= 1.4e-159) {
		tmp = t_1;
	} else if (a <= 1.85e+54) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (a <= 1.12e+174) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j))));
	} else {
		tmp = x * 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 * (k * ((z * y0) - (y * y4)))
    t_2 = y2 * ((c * y0) - (a * y1))
    if (a <= (-1d+226)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (a <= (-5.3d+182)) then
        tmp = ((t * y2) - (y * y3)) * (a * y5)
    else if (a <= (-5.2d+104)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (a <= (-1.32d+86)) then
        tmp = t_1
    else if (a <= (-1.15d-10)) then
        tmp = x * ((y * ((a * b) - (c * i))) + t_2)
    else if (a <= (-1.38d-213)) then
        tmp = y0 * (k * ((z * b) - (y2 * y5)))
    else if (a <= (-1.08d-248)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (a <= (-1.1d-304)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (a <= 1.4d-159) then
        tmp = t_1
    else if (a <= 1.85d+54) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (a <= 1.12d+174) then
        tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j))))
    else
        tmp = x * 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 * (k * ((z * y0) - (y * y4)));
	double t_2 = y2 * ((c * y0) - (a * y1));
	double tmp;
	if (a <= -1e+226) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (a <= -5.3e+182) {
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	} else if (a <= -5.2e+104) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (a <= -1.32e+86) {
		tmp = t_1;
	} else if (a <= -1.15e-10) {
		tmp = x * ((y * ((a * b) - (c * i))) + t_2);
	} else if (a <= -1.38e-213) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (a <= -1.08e-248) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -1.1e-304) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (a <= 1.4e-159) {
		tmp = t_1;
	} else if (a <= 1.85e+54) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (a <= 1.12e+174) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j))));
	} else {
		tmp = x * 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 * (k * ((z * y0) - (y * y4)))
	t_2 = y2 * ((c * y0) - (a * y1))
	tmp = 0
	if a <= -1e+226:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif a <= -5.3e+182:
		tmp = ((t * y2) - (y * y3)) * (a * y5)
	elif a <= -5.2e+104:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif a <= -1.32e+86:
		tmp = t_1
	elif a <= -1.15e-10:
		tmp = x * ((y * ((a * b) - (c * i))) + t_2)
	elif a <= -1.38e-213:
		tmp = y0 * (k * ((z * b) - (y2 * y5)))
	elif a <= -1.08e-248:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif a <= -1.1e-304:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif a <= 1.4e-159:
		tmp = t_1
	elif a <= 1.85e+54:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif a <= 1.12e+174:
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j))))
	else:
		tmp = x * 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(k * Float64(Float64(z * y0) - Float64(y * y4))))
	t_2 = Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))
	tmp = 0.0
	if (a <= -1e+226)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (a <= -5.3e+182)
		tmp = Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(a * y5));
	elseif (a <= -5.2e+104)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (a <= -1.32e+86)
		tmp = t_1;
	elseif (a <= -1.15e-10)
		tmp = Float64(x * Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + t_2));
	elseif (a <= -1.38e-213)
		tmp = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (a <= -1.08e-248)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (a <= -1.1e-304)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (a <= 1.4e-159)
		tmp = t_1;
	elseif (a <= 1.85e+54)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (a <= 1.12e+174)
		tmp = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))));
	else
		tmp = Float64(x * 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 * (k * ((z * y0) - (y * y4)));
	t_2 = y2 * ((c * y0) - (a * y1));
	tmp = 0.0;
	if (a <= -1e+226)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (a <= -5.3e+182)
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	elseif (a <= -5.2e+104)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (a <= -1.32e+86)
		tmp = t_1;
	elseif (a <= -1.15e-10)
		tmp = x * ((y * ((a * b) - (c * i))) + t_2);
	elseif (a <= -1.38e-213)
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	elseif (a <= -1.08e-248)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (a <= -1.1e-304)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (a <= 1.4e-159)
		tmp = t_1;
	elseif (a <= 1.85e+54)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (a <= 1.12e+174)
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j))));
	else
		tmp = x * 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[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -1e+226], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5.3e+182], N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(a * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5.2e+104], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.32e+86], t$95$1, If[LessEqual[a, -1.15e-10], N[(x * N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.38e-213], N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.08e-248], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.1e-304], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.4e-159], t$95$1, If[LessEqual[a, 1.85e+54], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.12e+174], N[(y0 * N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(x * t$95$2), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if a < -9.99999999999999961e225

   1. Initial program 10.3%

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

   2. Taylor expanded in y1 around inf 23.9%

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

      1. distribute-lft-out-- 23.9%

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

      2. *-commutative 23.9%

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

      3. *-commutative 23.9%

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

      4. *-commutative 23.9%

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

   4. Simplified 23.9%

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

   5. Taylor expanded in x around inf 60.1%

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

      1. mul-1-neg 60.1%

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

      2. *-commutative 60.1%

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

      3. *-commutative 60.1%

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

   7. Simplified 60.1%

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

   if -9.99999999999999961e225 < a < -5.3e182

   1. Initial program 12.5%

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

   2. Taylor expanded in y5 around -inf 62.5%

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

   3. Taylor expanded in a around inf 76.5%

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

      1. associate-*r* 88.3%

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

      2. *-commutative 88.3%

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

      3. *-commutative 88.3%

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

      4. *-commutative 88.3%

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

   5. Simplified 88.3%

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

   if -5.3e182 < a < -5.20000000000000001e104

   1. Initial program 26.2%

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

   2. Taylor expanded in y2 around inf 38.3%

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

   3. Taylor expanded in y1 around inf 48.9%

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

      1. +-commutative 48.9%

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

      2. mul-1-neg 48.9%

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

      3. unsub-neg 48.9%

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

   5. Simplified 48.9%

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

   if -5.20000000000000001e104 < a < -1.32e86 or -1.1e-304 < a < 1.4000000000000001e-159

   1. Initial program 36.5%

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

   2. Taylor expanded in b around inf 50.1%

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

   3. Taylor expanded in k around inf 52.7%

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

      1. distribute-lft-out-- 52.7%

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

   5. Simplified 52.7%

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

   if -1.32e86 < a < -1.15000000000000004e-10

   1. Initial program 47.5%

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

   2. Taylor expanded in x around inf 62.1%

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

   3. Taylor expanded in j around 0 62.4%

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

   if -1.15000000000000004e-10 < a < -1.37999999999999998e-213

   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. Taylor expanded in y0 around inf 46.2%

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

      1. +-commutative 46.2%

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

      2. mul-1-neg 46.2%

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

      3. unsub-neg 46.2%

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

      4. *-commutative 46.2%

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

      5. *-commutative 46.2%

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

      6. *-commutative 46.2%

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

      7. *-commutative 46.2%

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

   4. Simplified 46.2%

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

   5. Taylor expanded in k around -inf 44.4%

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

      1. +-commutative 44.4%

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

      2. mul-1-neg 44.4%

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

      3. unsub-neg 44.4%

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

      4. *-commutative 44.4%

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

   7. Simplified 44.4%

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

   if -1.37999999999999998e-213 < a < -1.08e-248

   1. Initial program 55.6%

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

   2. Taylor expanded in i around -inf 66.6%

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

   3. Taylor expanded in x around inf 78.0%

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

      1. *-commutative 78.0%

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

   5. Simplified 78.0%

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

   if -1.08e-248 < a < -1.1e-304

   1. Initial program 36.4%

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

   2. Taylor expanded in y0 around inf 64.1%

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

      1. +-commutative 64.1%

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

      2. mul-1-neg 64.1%

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

      3. unsub-neg 64.1%

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

      4. *-commutative 64.1%

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

      5. *-commutative 64.1%

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

      6. *-commutative 64.1%

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

      7. *-commutative 64.1%

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

   4. Simplified 64.1%

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

   5. Taylor expanded in c around inf 73.2%

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

   if 1.4000000000000001e-159 < a < 1.8500000000000001e54

   1. Initial program 24.0%

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

   2. Taylor expanded in y5 around -inf 46.2%

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

   3. Taylor expanded in i around inf 45.7%

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

      1. cancel-sign-sub-inv 45.7%

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

      2. fma-udef 45.7%

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

      3. associate-*r* 48.2%

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

      4. fma-udef 48.2%

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

      5. cancel-sign-sub-inv 48.2%

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

   5. Simplified 48.2%

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

   if 1.8500000000000001e54 < a < 1.11999999999999993e174

   1. Initial program 33.2%

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

   2. Taylor expanded in y0 around inf 52.4%

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

      1. +-commutative 52.4%

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

      2. mul-1-neg 52.4%

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

      3. unsub-neg 52.4%

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

      4. *-commutative 52.4%

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

      5. *-commutative 52.4%

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

      6. *-commutative 52.4%

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

      7. *-commutative 52.4%

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

   4. Simplified 52.4%

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

   5. Taylor expanded in c around 0 56.4%

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

      1. mul-1-neg 56.4%

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

      2. distribute-rgt-neg-in 56.4%

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

      3. *-commutative 56.4%

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

      4. *-commutative 56.4%

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

      5. distribute-neg-in 56.4%

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

      6. unsub-neg 56.4%

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

      7. distribute-rgt-neg-in 56.4%

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

      8. neg-sub0 56.4%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(0 - \left(x \cdot j - z \cdot k\right)\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      9. associate-+l- 56.4%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(\left(0 - x \cdot j\right) + z \cdot k\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      10. neg-sub0 56.4%

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

      11. +-commutative 56.4%

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

      12. sub-neg 56.4%

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

      13. sub-neg 56.4%

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

   7. Simplified 56.4%

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

   if 1.11999999999999993e174 < a

   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. Taylor expanded in y2 around inf 44.2%

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

   3. Taylor expanded in x around inf 64.3%

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

      1. *-commutative 64.3%

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

   5. Simplified 64.3%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]
3. Recombined 11 regimes into one program.

4. Final simplification 56.3%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1 \cdot 10^{+226}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -5.3 \cdot 10^{+182}:\\ \;\;\;\;\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5\right)\\ \mathbf{elif}\;a \leq -5.2 \cdot 10^{+104}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;a \leq -1.32 \cdot 10^{+86}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq -1.15 \cdot 10^{-10}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq -1.38 \cdot 10^{-213}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -1.08 \cdot 10^{-248}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -1.1 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1.4 \cdot 10^{-159}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.85 \cdot 10^{+54}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 1.12 \cdot 10^{+174}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 12: 35.8% accurate, 2.3× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot k - x \cdot j\\ \mathbf{if}\;k \leq -7.2 \cdot 10^{+152}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -7 \cdot 10^{+37}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - a \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.4 \cdot 10^{-77}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot t_1\right)\\ \mathbf{elif}\;k \leq -1.12 \cdot 10^{-113}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -8.5 \cdot 10^{-115}:\\ \;\;\;\;i \cdot \left(\left(x \cdot y\right) \cdot \left(-c\right)\right)\\ \mathbf{elif}\;k \leq -7.5 \cdot 10^{-140}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{-240}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -7.4 \cdot 10^{-289}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;k \leq 90000000:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 2.35 \cdot 10^{+176}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot t_1\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* z k) (* x j))))
   (if (<= k -7.2e+152)
     (* y0 (* y2 (- (* x c) (* k y5))))
     (if (<= k -7e+37)
       (+
        (* (* k y2) (- (* y1 y4) (* y0 y5)))
        (* y1 (- (* i (- (* x j) (* z k))) (* a (* x y2)))))
       (if (<= k -2.4e-77)
         (*
          b
          (+
           (+ (* a (- (* x y) (* z t))) (* y4 (- (* t j) (* y k))))
           (* y0 t_1)))
         (if (<= k -1.12e-113)
           (*
            y5
            (+ (- (* j (* y0 y3)) (* i (* t j))) (* a (- (* t y2) (* y y3)))))
           (if (<= k -8.5e-115)
             (* i (* (* x y) (- c)))
             (if (<= k -7.5e-140)
               (* a (* x (- (* y b) (* y1 y2))))
               (if (<= k -4.8e-240)
                 (* c (* y0 (- (* x y2) (* z y3))))
                 (if (<= k -7.4e-289)
                   (* b (* t (- (* j y4) (* z a))))
                   (if (<= k 90000000.0)
                     (*
                      x
                      (+
                       (* y (- (* a b) (* c i)))
                       (* y2 (- (* c y0) (* a y1)))))
                     (if (<= k 2.35e+176)
                       (* y0 (+ (* y5 (- (* j y3) (* k y2))) (* b t_1)))
                       (* i (* y (- (* 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 = (z * k) - (x * j);
	double tmp;
	if (k <= -7.2e+152) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (k <= -7e+37) {
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	} else if (k <= -2.4e-77) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	} else if (k <= -1.12e-113) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	} else if (k <= -8.5e-115) {
		tmp = i * ((x * y) * -c);
	} else if (k <= -7.5e-140) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -4.8e-240) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= -7.4e-289) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (k <= 90000000.0) {
		tmp = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))));
	} else if (k <= 2.35e+176) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * t_1));
	} else {
		tmp = i * (y * ((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) :: tmp
    t_1 = (z * k) - (x * j)
    if (k <= (-7.2d+152)) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (k <= (-7d+37)) then
        tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))))
    else if (k <= (-2.4d-77)) then
        tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1))
    else if (k <= (-1.12d-113)) then
        tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))))
    else if (k <= (-8.5d-115)) then
        tmp = i * ((x * y) * -c)
    else if (k <= (-7.5d-140)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (k <= (-4.8d-240)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (k <= (-7.4d-289)) then
        tmp = b * (t * ((j * y4) - (z * a)))
    else if (k <= 90000000.0d0) then
        tmp = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))))
    else if (k <= 2.35d+176) then
        tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * t_1))
    else
        tmp = i * (y * ((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 = (z * k) - (x * j);
	double tmp;
	if (k <= -7.2e+152) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (k <= -7e+37) {
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	} else if (k <= -2.4e-77) {
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	} else if (k <= -1.12e-113) {
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	} else if (k <= -8.5e-115) {
		tmp = i * ((x * y) * -c);
	} else if (k <= -7.5e-140) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (k <= -4.8e-240) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (k <= -7.4e-289) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (k <= 90000000.0) {
		tmp = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))));
	} else if (k <= 2.35e+176) {
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * t_1));
	} else {
		tmp = i * (y * ((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 = (z * k) - (x * j)
	tmp = 0
	if k <= -7.2e+152:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif k <= -7e+37:
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))))
	elif k <= -2.4e-77:
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1))
	elif k <= -1.12e-113:
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))))
	elif k <= -8.5e-115:
		tmp = i * ((x * y) * -c)
	elif k <= -7.5e-140:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif k <= -4.8e-240:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif k <= -7.4e-289:
		tmp = b * (t * ((j * y4) - (z * a)))
	elif k <= 90000000.0:
		tmp = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))))
	elif k <= 2.35e+176:
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * t_1))
	else:
		tmp = i * (y * ((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(z * k) - Float64(x * j))
	tmp = 0.0
	if (k <= -7.2e+152)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (k <= -7e+37)
		tmp = Float64(Float64(Float64(k * y2) * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) - Float64(a * Float64(x * y2)))));
	elseif (k <= -2.4e-77)
		tmp = Float64(b * Float64(Float64(Float64(a * Float64(Float64(x * y) - Float64(z * t))) + Float64(y4 * Float64(Float64(t * j) - Float64(y * k)))) + Float64(y0 * t_1)));
	elseif (k <= -1.12e-113)
		tmp = Float64(y5 * Float64(Float64(Float64(j * Float64(y0 * y3)) - Float64(i * Float64(t * j))) + Float64(a * Float64(Float64(t * y2) - Float64(y * y3)))));
	elseif (k <= -8.5e-115)
		tmp = Float64(i * Float64(Float64(x * y) * Float64(-c)));
	elseif (k <= -7.5e-140)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (k <= -4.8e-240)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (k <= -7.4e-289)
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	elseif (k <= 90000000.0)
		tmp = Float64(x * Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))));
	elseif (k <= 2.35e+176)
		tmp = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(b * t_1)));
	else
		tmp = Float64(i * Float64(y * 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 = (z * k) - (x * j);
	tmp = 0.0;
	if (k <= -7.2e+152)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (k <= -7e+37)
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	elseif (k <= -2.4e-77)
		tmp = b * (((a * ((x * y) - (z * t))) + (y4 * ((t * j) - (y * k)))) + (y0 * t_1));
	elseif (k <= -1.12e-113)
		tmp = y5 * (((j * (y0 * y3)) - (i * (t * j))) + (a * ((t * y2) - (y * y3))));
	elseif (k <= -8.5e-115)
		tmp = i * ((x * y) * -c);
	elseif (k <= -7.5e-140)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (k <= -4.8e-240)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (k <= -7.4e-289)
		tmp = b * (t * ((j * y4) - (z * a)));
	elseif (k <= 90000000.0)
		tmp = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))));
	elseif (k <= 2.35e+176)
		tmp = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * t_1));
	else
		tmp = i * (y * ((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[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -7.2e+152], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -7e+37], N[(N[(N[(k * y2), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -2.4e-77], N[(b * N[(N[(N[(a * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -1.12e-113], N[(y5 * N[(N[(N[(j * N[(y0 * y3), $MachinePrecision]), $MachinePrecision] - N[(i * N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(a * N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -8.5e-115], N[(i * N[(N[(x * y), $MachinePrecision] * (-c)), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -7.5e-140], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -4.8e-240], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -7.4e-289], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 90000000.0], N[(x * N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 2.35e+176], N[(y0 * N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * t$95$1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 11 regimes

2. if k < -7.1999999999999998e152

   1. Initial program 12.1%

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

   2. Taylor expanded in y2 around inf 54.9%

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

   3. Taylor expanded in y0 around -inf 55.5%

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

      1. mul-1-neg 55.5%

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

      2. distribute-rgt-neg-in 55.5%

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

      3. +-commutative 55.5%

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

      4. mul-1-neg 55.5%

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

      5. unsub-neg 55.5%

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

      6. *-commutative 55.5%

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

      7. *-commutative 55.5%

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

   5. Simplified 55.5%

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

   if -7.1999999999999998e152 < k < -7e37

   1. Initial program 26.0%

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

   2. Taylor expanded in y1 around inf 61.5%

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

      1. distribute-lft-out-- 61.5%

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

      2. *-commutative 61.5%

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

      3. *-commutative 61.5%

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

      4. *-commutative 61.5%

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

   4. Simplified 61.5%

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

   5. Taylor expanded in y3 around 0 74.5%

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

      1. +-commutative 74.5%

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

      2. mul-1-neg 74.5%

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

      3. unsub-neg 74.5%

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

      4. associate-*r* 74.5%

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

      5. *-commutative 74.5%

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

      6. *-commutative 74.5%

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

      7. *-commutative 74.5%

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

   7. Simplified 74.5%

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

   if -7e37 < k < -2.3999999999999999e-77

   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. Taylor expanded in b around inf 49.4%

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

   if -2.3999999999999999e-77 < k < -1.1200000000000001e-113

   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. Taylor expanded in y5 around -inf 70.2%

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

   3. Taylor expanded in k around 0 60.6%

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

   if -1.1200000000000001e-113 < k < -8.49999999999999953e-115

   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. Taylor expanded in i around -inf 50.0%

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

   3. Taylor expanded in y around inf 100.0%

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

   4. Taylor expanded in k around 0 100.0%

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

   if -8.49999999999999953e-115 < k < -7.4999999999999998e-140

   1. Initial program 42.5%

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

   2. Taylor expanded in x around inf 65.2%

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

   3. Taylor expanded in a around inf 65.9%

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

   if -7.4999999999999998e-140 < k < -4.7999999999999999e-240

   1. Initial program 33.5%

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

   2. Taylor expanded in y0 around inf 52.2%

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

      1. +-commutative 52.2%

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

      2. mul-1-neg 52.2%

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

      3. unsub-neg 52.2%

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

      4. *-commutative 52.2%

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

      5. *-commutative 52.2%

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

      6. *-commutative 52.2%

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

      7. *-commutative 52.2%

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

   4. Simplified 52.2%

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

   5. Taylor expanded in c around inf 53.0%

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

   if -4.7999999999999999e-240 < k < -7.39999999999999977e-289

   1. Initial program 8.6%

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

   2. Taylor expanded in b around inf 53.7%

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

   3. Taylor expanded in t around -inf 59.0%

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

      1. mul-1-neg 59.0%

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

      2. distribute-rgt-neg-in 59.0%

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

      3. +-commutative 59.0%

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

      4. mul-1-neg 59.0%

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

      5. unsub-neg 59.0%

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

   5. Simplified 59.0%

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

   if -7.39999999999999977e-289 < k < 9e7

   1. Initial program 40.9%

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

   2. Taylor expanded in x around inf 45.6%

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

   3. Taylor expanded in j around 0 47.4%

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

   if 9e7 < k < 2.34999999999999991e176

   1. Initial program 37.9%

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

   2. Taylor expanded in y0 around inf 52.5%

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

      1. +-commutative 52.5%

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

      2. mul-1-neg 52.5%

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

      3. unsub-neg 52.5%

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

      4. *-commutative 52.5%

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

      5. *-commutative 52.5%

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

      6. *-commutative 52.5%

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

      7. *-commutative 52.5%

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

   4. Simplified 52.5%

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

   5. Taylor expanded in c around 0 56.2%

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

      1. mul-1-neg 56.2%

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

      2. distribute-rgt-neg-in 56.2%

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

      3. *-commutative 56.2%

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

      4. *-commutative 56.2%

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

      5. distribute-neg-in 56.2%

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

      6. unsub-neg 56.2%

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

      7. distribute-rgt-neg-in 56.2%

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

      8. neg-sub0 56.2%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(0 - \left(x \cdot j - z \cdot k\right)\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      9. associate-+l- 56.2%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(\left(0 - x \cdot j\right) + z \cdot k\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      10. neg-sub0 56.2%

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

      11. +-commutative 56.2%

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

      12. sub-neg 56.2%

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

      13. sub-neg 56.2%

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

   7. Simplified 56.2%

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

   if 2.34999999999999991e176 < k

   1. Initial program 16.7%

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

   2. Taylor expanded in i around -inf 45.9%

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

   3. Taylor expanded in y around inf 62.9%

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

4. Final simplification 55.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -7.2 \cdot 10^{+152}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -7 \cdot 10^{+37}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - a \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -2.4 \cdot 10^{-77}:\\ \;\;\;\;b \cdot \left(\left(a \cdot \left(x \cdot y - z \cdot t\right) + y4 \cdot \left(t \cdot j - y \cdot k\right)\right) + y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -1.12 \cdot 10^{-113}:\\ \;\;\;\;y5 \cdot \left(\left(j \cdot \left(y0 \cdot y3\right) - i \cdot \left(t \cdot j\right)\right) + a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -8.5 \cdot 10^{-115}:\\ \;\;\;\;i \cdot \left(\left(x \cdot y\right) \cdot \left(-c\right)\right)\\ \mathbf{elif}\;k \leq -7.5 \cdot 10^{-140}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -4.8 \cdot 10^{-240}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;k \leq -7.4 \cdot 10^{-289}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;k \leq 90000000:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 2.35 \cdot 10^{+176}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \]

Alternative 13: 29.7% accurate, 2.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ t_2 := y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{if}\;a \leq -4.3 \cdot 10^{+229}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -2 \cdot 10^{+166}:\\ \;\;\;\;\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5\right)\\ \mathbf{elif}\;a \leq -7.6 \cdot 10^{+78}:\\ \;\;\;\;\left(a \cdot y1\right) \cdot \left(z \cdot y3 - x \cdot y2\right)\\ \mathbf{elif}\;a \leq -5.3 \cdot 10^{+22}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;a \leq -8.4 \cdot 10^{-13}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -4.1 \cdot 10^{-203}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -2.05 \cdot 10^{-250}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -1.4 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-159}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 10^{-31}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 1.45 \cdot 10^{+79}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{+103}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{+173}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (* y2 (- (* c y0) (* a y1)))))
        (t_2 (* y0 (* k (- (* z b) (* y2 y5))))))
   (if (<= a -4.3e+229)
     (* x (* y1 (- (* i j) (* a y2))))
     (if (<= a -2e+166)
       (* (- (* t y2) (* y y3)) (* a y5))
       (if (<= a -7.6e+78)
         (* (* a y1) (- (* z y3) (* x y2)))
         (if (<= a -5.3e+22)
           (* (- (* x j) (* z k)) (* i y1))
           (if (<= a -8.4e-13)
             (* a (* x (- (* y b) (* y1 y2))))
             (if (<= a -4.1e-203)
               t_2
               (if (<= a -2.05e-250)
                 (* i (* x (- (* j y1) (* y c))))
                 (if (<= a -1.4e-304)
                   (* c (* y0 (- (* x y2) (* z y3))))
                   (if (<= a 6.2e-159)
                     (* b (* k (- (* z y0) (* y y4))))
                     (if (<= a 1e-31)
                       (* (* i y5) (- (* y k) (* t j)))
                       (if (<= a 1.45e+79)
                         t_1
                         (if (<= a 1.25e+103)
                           (* (* j y0) (* y3 y5))
                           (if (<= a 3.3e+173) t_2 t_1)))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y2 * ((c * y0) - (a * y1)));
	double t_2 = y0 * (k * ((z * b) - (y2 * y5)));
	double tmp;
	if (a <= -4.3e+229) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (a <= -2e+166) {
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	} else if (a <= -7.6e+78) {
		tmp = (a * y1) * ((z * y3) - (x * y2));
	} else if (a <= -5.3e+22) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if (a <= -8.4e-13) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (a <= -4.1e-203) {
		tmp = t_2;
	} else if (a <= -2.05e-250) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -1.4e-304) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (a <= 6.2e-159) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (a <= 1e-31) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (a <= 1.45e+79) {
		tmp = t_1;
	} else if (a <= 1.25e+103) {
		tmp = (j * y0) * (y3 * y5);
	} else if (a <= 3.3e+173) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = x * (y2 * ((c * y0) - (a * y1)))
    t_2 = y0 * (k * ((z * b) - (y2 * y5)))
    if (a <= (-4.3d+229)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (a <= (-2d+166)) then
        tmp = ((t * y2) - (y * y3)) * (a * y5)
    else if (a <= (-7.6d+78)) then
        tmp = (a * y1) * ((z * y3) - (x * y2))
    else if (a <= (-5.3d+22)) then
        tmp = ((x * j) - (z * k)) * (i * y1)
    else if (a <= (-8.4d-13)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (a <= (-4.1d-203)) then
        tmp = t_2
    else if (a <= (-2.05d-250)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (a <= (-1.4d-304)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (a <= 6.2d-159) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (a <= 1d-31) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (a <= 1.45d+79) then
        tmp = t_1
    else if (a <= 1.25d+103) then
        tmp = (j * y0) * (y3 * y5)
    else if (a <= 3.3d+173) then
        tmp = t_2
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = x * (y2 * ((c * y0) - (a * y1)));
	double t_2 = y0 * (k * ((z * b) - (y2 * y5)));
	double tmp;
	if (a <= -4.3e+229) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (a <= -2e+166) {
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	} else if (a <= -7.6e+78) {
		tmp = (a * y1) * ((z * y3) - (x * y2));
	} else if (a <= -5.3e+22) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if (a <= -8.4e-13) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (a <= -4.1e-203) {
		tmp = t_2;
	} else if (a <= -2.05e-250) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -1.4e-304) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (a <= 6.2e-159) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (a <= 1e-31) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (a <= 1.45e+79) {
		tmp = t_1;
	} else if (a <= 1.25e+103) {
		tmp = (j * y0) * (y3 * y5);
	} else if (a <= 3.3e+173) {
		tmp = t_2;
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = x * (y2 * ((c * y0) - (a * y1)))
	t_2 = y0 * (k * ((z * b) - (y2 * y5)))
	tmp = 0
	if a <= -4.3e+229:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif a <= -2e+166:
		tmp = ((t * y2) - (y * y3)) * (a * y5)
	elif a <= -7.6e+78:
		tmp = (a * y1) * ((z * y3) - (x * y2))
	elif a <= -5.3e+22:
		tmp = ((x * j) - (z * k)) * (i * y1)
	elif a <= -8.4e-13:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif a <= -4.1e-203:
		tmp = t_2
	elif a <= -2.05e-250:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif a <= -1.4e-304:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif a <= 6.2e-159:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif a <= 1e-31:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif a <= 1.45e+79:
		tmp = t_1
	elif a <= 1.25e+103:
		tmp = (j * y0) * (y3 * y5)
	elif a <= 3.3e+173:
		tmp = t_2
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))))
	t_2 = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))))
	tmp = 0.0
	if (a <= -4.3e+229)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (a <= -2e+166)
		tmp = Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(a * y5));
	elseif (a <= -7.6e+78)
		tmp = Float64(Float64(a * y1) * Float64(Float64(z * y3) - Float64(x * y2)));
	elseif (a <= -5.3e+22)
		tmp = Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(i * y1));
	elseif (a <= -8.4e-13)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (a <= -4.1e-203)
		tmp = t_2;
	elseif (a <= -2.05e-250)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (a <= -1.4e-304)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (a <= 6.2e-159)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (a <= 1e-31)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (a <= 1.45e+79)
		tmp = t_1;
	elseif (a <= 1.25e+103)
		tmp = Float64(Float64(j * y0) * Float64(y3 * y5));
	elseif (a <= 3.3e+173)
		tmp = t_2;
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = x * (y2 * ((c * y0) - (a * y1)));
	t_2 = y0 * (k * ((z * b) - (y2 * y5)));
	tmp = 0.0;
	if (a <= -4.3e+229)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (a <= -2e+166)
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	elseif (a <= -7.6e+78)
		tmp = (a * y1) * ((z * y3) - (x * y2));
	elseif (a <= -5.3e+22)
		tmp = ((x * j) - (z * k)) * (i * y1);
	elseif (a <= -8.4e-13)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (a <= -4.1e-203)
		tmp = t_2;
	elseif (a <= -2.05e-250)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (a <= -1.4e-304)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (a <= 6.2e-159)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (a <= 1e-31)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (a <= 1.45e+79)
		tmp = t_1;
	elseif (a <= 1.25e+103)
		tmp = (j * y0) * (y3 * y5);
	elseif (a <= 3.3e+173)
		tmp = t_2;
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -4.3e+229], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2e+166], N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(a * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -7.6e+78], N[(N[(a * y1), $MachinePrecision] * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5.3e+22], N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(i * y1), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -8.4e-13], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -4.1e-203], t$95$2, If[LessEqual[a, -2.05e-250], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.4e-304], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 6.2e-159], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1e-31], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.45e+79], t$95$1, If[LessEqual[a, 1.25e+103], N[(N[(j * y0), $MachinePrecision] * N[(y3 * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 3.3e+173], t$95$2, t$95$1]]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if a < -4.29999999999999991e229

   1. Initial program 10.3%

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

   2. Taylor expanded in y1 around inf 23.9%

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

      1. distribute-lft-out-- 23.9%

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

      2. *-commutative 23.9%

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

      3. *-commutative 23.9%

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

      4. *-commutative 23.9%

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

   4. Simplified 23.9%

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

   5. Taylor expanded in x around inf 60.1%

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

      1. mul-1-neg 60.1%

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

      2. *-commutative 60.1%

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

      3. *-commutative 60.1%

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

   7. Simplified 60.1%

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

   if -4.29999999999999991e229 < a < -1.99999999999999988e166

   1. Initial program 9.1%

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

   2. Taylor expanded in y5 around -inf 63.6%

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

   3. Taylor expanded in a around inf 56.5%

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

      1. associate-*r* 73.6%

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

      2. *-commutative 73.6%

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

      3. *-commutative 73.6%

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

      4. *-commutative 73.6%

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

   5. Simplified 73.6%

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

   if -1.99999999999999988e166 < a < -7.5999999999999998e78

   1. Initial program 29.8%

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

   2. Taylor expanded in y1 around inf 41.0%

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

      1. distribute-lft-out-- 41.0%

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

      2. *-commutative 41.0%

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

      3. *-commutative 41.0%

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

      4. *-commutative 41.0%

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

   4. Simplified 41.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in a around inf 46.5%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 46.5%

         \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

      2. associate-*r* 46.5%

         \[\leadsto -\color{blue}{\left(a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)} \]

      3. *-commutative 46.5%

         \[\leadsto -\left(a \cdot y1\right) \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) \]

      4. distribute-rgt-neg-in 46.5%

         \[\leadsto \color{blue}{\left(a \cdot y1\right) \cdot \left(-\left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   7. Simplified 46.5%

      \[\leadsto \color{blue}{\left(a \cdot y1\right) \cdot \left(-\left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if -7.5999999999999998e78 < a < -5.2999999999999998e22

   1. Initial program 45.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 55.1%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 55.1%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 55.1%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 55.1%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 55.1%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 55.1%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 56.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 56.1%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 73.4%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 73.4%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 73.4%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   if -5.2999999999999998e22 < a < -8.39999999999999955e-13

   1. Initial program 55.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 66.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in a around inf 56.6%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]

   if -8.39999999999999955e-13 < a < -4.09999999999999981e-203 or 1.25e103 < a < 3.29999999999999996e173

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 49.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 49.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 49.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 49.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in k around -inf 48.1%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right)\right) \]

      3. unsub-neg 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)}\right) \]

      4. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right)\right) \]

   7. Simplified 48.1%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)} \]

   if -4.09999999999999981e-203 < a < -2.05000000000000008e-250

   1. Initial program 55.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in i around -inf 66.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   3. Taylor expanded in x around inf 78.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 78.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(x \cdot \left(\color{blue}{y \cdot c} - j \cdot y1\right)\right)\right) \]

   5. Simplified 78.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(y \cdot c - j \cdot y1\right)\right)\right)} \]

   if -2.05000000000000008e-250 < a < -1.3999999999999999e-304

   1. Initial program 36.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 64.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 64.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 64.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 64.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 73.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -1.3999999999999999e-304 < a < 6.2e-159

   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. Taylor expanded in b around inf 48.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in k around inf 48.9%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y4\right) - -1 \cdot \left(y0 \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. distribute-lft-out-- 48.9%

         \[\leadsto b \cdot \left(k \cdot \color{blue}{\left(-1 \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)}\right) \]

   5. Simplified 48.9%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)\right)} \]

   if 6.2e-159 < a < 1e-31

   1. Initial program 32.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 49.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in i around inf 52.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right)\right)} \]
   4. Step-by-step derivation

      1. cancel-sign-sub-inv 52.7%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right)\right) \]

      2. fma-udef 52.7%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)}\right)\right) \]

      3. associate-*r* 56.5%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)\right)} \]

      4. fma-udef 56.5%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right) \]

      5. cancel-sign-sub-inv 56.5%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t - k \cdot y\right)}\right) \]

   5. Simplified 56.5%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 1e-31 < a < 1.44999999999999996e79 or 3.29999999999999996e173 < a

   1. Initial program 22.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 47.1%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in x around inf 56.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 56.5%

         \[\leadsto x \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot c} - a \cdot y1\right)\right) \]

   5. Simplified 56.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]

   if 1.44999999999999996e79 < a < 1.25e103

   1. Initial program 57.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 58.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 58.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 58.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 58.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 58.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 58.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 58.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 58.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 58.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 58.3%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 58.3%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 58.3%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 58.3%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 58.3%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 58.3%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 45.5%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 58.5%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)} \]

      2. *-commutative 58.5%

         \[\leadsto \color{blue}{\left(y0 \cdot j\right)} \cdot \left(y3 \cdot y5\right) \]

   10. Simplified 58.5%

       \[\leadsto \color{blue}{\left(y0 \cdot j\right) \cdot \left(y3 \cdot y5\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 56.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -4.3 \cdot 10^{+229}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -2 \cdot 10^{+166}:\\ \;\;\;\;\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5\right)\\ \mathbf{elif}\;a \leq -7.6 \cdot 10^{+78}:\\ \;\;\;\;\left(a \cdot y1\right) \cdot \left(z \cdot y3 - x \cdot y2\right)\\ \mathbf{elif}\;a \leq -5.3 \cdot 10^{+22}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;a \leq -8.4 \cdot 10^{-13}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -4.1 \cdot 10^{-203}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -2.05 \cdot 10^{-250}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -1.4 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 6.2 \cdot 10^{-159}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 10^{-31}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 1.45 \cdot 10^{+79}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq 1.25 \cdot 10^{+103}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)\\ \mathbf{elif}\;a \leq 3.3 \cdot 10^{+173}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 14: 36.0% accurate, 2.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ t_2 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;k \leq -4.1 \cdot 10^{+152}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{+14}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - a \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -3.2 \cdot 10^{-114}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq -4.2 \cdot 10^{-233}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq -7.6 \cdot 10^{-241}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;k \leq -3.1 \cdot 10^{-300}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;k \leq 1.1:\\ \;\;\;\;t_1\\ \mathbf{elif}\;k \leq 3.9 \cdot 10^{+176}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* x (+ (* y (- (* a b) (* c i))) (* y2 (- (* c y0) (* a y1))))))
        (t_2
         (* y0 (+ (* y5 (- (* j y3) (* k y2))) (* b (- (* z k) (* x j)))))))
   (if (<= k -4.1e+152)
     (* y0 (* y2 (- (* x c) (* k y5))))
     (if (<= k -7.2e+14)
       (+
        (* (* k y2) (- (* y1 y4) (* y0 y5)))
        (* y1 (- (* i (- (* x j) (* z k))) (* a (* x y2)))))
       (if (<= k -3.2e-114)
         t_2
         (if (<= k -4.2e-233)
           t_1
           (if (<= k -7.6e-241)
             t_2
             (if (<= k -3.1e-300)
               (* b (* t (- (* j y4) (* z a))))
               (if (<= k 1.1)
                 t_1
                 (if (<= k 3.9e+176)
                   t_2
                   (* i (* y (- (* 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 = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))));
	double t_2 = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (k <= -4.1e+152) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (k <= -7.2e+14) {
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	} else if (k <= -3.2e-114) {
		tmp = t_2;
	} else if (k <= -4.2e-233) {
		tmp = t_1;
	} else if (k <= -7.6e-241) {
		tmp = t_2;
	} else if (k <= -3.1e-300) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (k <= 1.1) {
		tmp = t_1;
	} else if (k <= 3.9e+176) {
		tmp = t_2;
	} else {
		tmp = i * (y * ((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) :: tmp
    t_1 = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))))
    t_2 = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j))))
    if (k <= (-4.1d+152)) then
        tmp = y0 * (y2 * ((x * c) - (k * y5)))
    else if (k <= (-7.2d+14)) then
        tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))))
    else if (k <= (-3.2d-114)) then
        tmp = t_2
    else if (k <= (-4.2d-233)) then
        tmp = t_1
    else if (k <= (-7.6d-241)) then
        tmp = t_2
    else if (k <= (-3.1d-300)) then
        tmp = b * (t * ((j * y4) - (z * a)))
    else if (k <= 1.1d0) then
        tmp = t_1
    else if (k <= 3.9d+176) then
        tmp = t_2
    else
        tmp = i * (y * ((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 = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))));
	double t_2 = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j))));
	double tmp;
	if (k <= -4.1e+152) {
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	} else if (k <= -7.2e+14) {
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	} else if (k <= -3.2e-114) {
		tmp = t_2;
	} else if (k <= -4.2e-233) {
		tmp = t_1;
	} else if (k <= -7.6e-241) {
		tmp = t_2;
	} else if (k <= -3.1e-300) {
		tmp = b * (t * ((j * y4) - (z * a)));
	} else if (k <= 1.1) {
		tmp = t_1;
	} else if (k <= 3.9e+176) {
		tmp = t_2;
	} else {
		tmp = i * (y * ((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 = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))))
	t_2 = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j))))
	tmp = 0
	if k <= -4.1e+152:
		tmp = y0 * (y2 * ((x * c) - (k * y5)))
	elif k <= -7.2e+14:
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))))
	elif k <= -3.2e-114:
		tmp = t_2
	elif k <= -4.2e-233:
		tmp = t_1
	elif k <= -7.6e-241:
		tmp = t_2
	elif k <= -3.1e-300:
		tmp = b * (t * ((j * y4) - (z * a)))
	elif k <= 1.1:
		tmp = t_1
	elif k <= 3.9e+176:
		tmp = t_2
	else:
		tmp = i * (y * ((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(x * Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1)))))
	t_2 = Float64(y0 * Float64(Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))) + Float64(b * Float64(Float64(z * k) - Float64(x * j)))))
	tmp = 0.0
	if (k <= -4.1e+152)
		tmp = Float64(y0 * Float64(y2 * Float64(Float64(x * c) - Float64(k * y5))));
	elseif (k <= -7.2e+14)
		tmp = Float64(Float64(Float64(k * y2) * Float64(Float64(y1 * y4) - Float64(y0 * y5))) + Float64(y1 * Float64(Float64(i * Float64(Float64(x * j) - Float64(z * k))) - Float64(a * Float64(x * y2)))));
	elseif (k <= -3.2e-114)
		tmp = t_2;
	elseif (k <= -4.2e-233)
		tmp = t_1;
	elseif (k <= -7.6e-241)
		tmp = t_2;
	elseif (k <= -3.1e-300)
		tmp = Float64(b * Float64(t * Float64(Float64(j * y4) - Float64(z * a))));
	elseif (k <= 1.1)
		tmp = t_1;
	elseif (k <= 3.9e+176)
		tmp = t_2;
	else
		tmp = Float64(i * Float64(y * 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 = x * ((y * ((a * b) - (c * i))) + (y2 * ((c * y0) - (a * y1))));
	t_2 = y0 * ((y5 * ((j * y3) - (k * y2))) + (b * ((z * k) - (x * j))));
	tmp = 0.0;
	if (k <= -4.1e+152)
		tmp = y0 * (y2 * ((x * c) - (k * y5)));
	elseif (k <= -7.2e+14)
		tmp = ((k * y2) * ((y1 * y4) - (y0 * y5))) + (y1 * ((i * ((x * j) - (z * k))) - (a * (x * y2))));
	elseif (k <= -3.2e-114)
		tmp = t_2;
	elseif (k <= -4.2e-233)
		tmp = t_1;
	elseif (k <= -7.6e-241)
		tmp = t_2;
	elseif (k <= -3.1e-300)
		tmp = b * (t * ((j * y4) - (z * a)));
	elseif (k <= 1.1)
		tmp = t_1;
	elseif (k <= 3.9e+176)
		tmp = t_2;
	else
		tmp = i * (y * ((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[(x * N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y0 * N[(N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(b * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[k, -4.1e+152], N[(y0 * N[(y2 * N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -7.2e+14], N[(N[(N[(k * y2), $MachinePrecision] * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y1 * N[(N[(i * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(a * N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, -3.2e-114], t$95$2, If[LessEqual[k, -4.2e-233], t$95$1, If[LessEqual[k, -7.6e-241], t$95$2, If[LessEqual[k, -3.1e-300], N[(b * N[(t * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[k, 1.1], t$95$1, If[LessEqual[k, 3.9e+176], t$95$2, N[(i * N[(y * N[(N[(k * y5), $MachinePrecision] - N[(x * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if k < -4.0999999999999998e152

   1. Initial program 12.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 54.9%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around -inf 55.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 55.5%

         \[\leadsto \color{blue}{-y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)} \]

      2. distribute-rgt-neg-in 55.5%

         \[\leadsto \color{blue}{y0 \cdot \left(-y2 \cdot \left(-1 \cdot \left(c \cdot x\right) + k \cdot y5\right)\right)} \]

      3. +-commutative 55.5%

         \[\leadsto y0 \cdot \left(-y2 \cdot \color{blue}{\left(k \cdot y5 + -1 \cdot \left(c \cdot x\right)\right)}\right) \]

      4. mul-1-neg 55.5%

         \[\leadsto y0 \cdot \left(-y2 \cdot \left(k \cdot y5 + \color{blue}{\left(-c \cdot x\right)}\right)\right) \]

      5. unsub-neg 55.5%

         \[\leadsto y0 \cdot \left(-y2 \cdot \color{blue}{\left(k \cdot y5 - c \cdot x\right)}\right) \]

      6. *-commutative 55.5%

         \[\leadsto y0 \cdot \left(-y2 \cdot \left(\color{blue}{y5 \cdot k} - c \cdot x\right)\right) \]

      7. *-commutative 55.5%

         \[\leadsto y0 \cdot \left(-y2 \cdot \left(y5 \cdot k - \color{blue}{x \cdot c}\right)\right) \]

   5. Simplified 55.5%

      \[\leadsto \color{blue}{y0 \cdot \left(-y2 \cdot \left(y5 \cdot k - x \cdot c\right)\right)} \]

   if -4.0999999999999998e152 < k < -7.2e14

   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. Taylor expanded in y1 around inf 49.4%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 49.4%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 49.4%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 49.4%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 49.4%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 49.4%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in y3 around 0 59.9%

      \[\leadsto \color{blue}{-1 \cdot \left(y1 \cdot \left(a \cdot \left(x \cdot y2\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 59.9%

         \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + -1 \cdot \left(y1 \cdot \left(a \cdot \left(x \cdot y2\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

      2. mul-1-neg 59.9%

         \[\leadsto k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) + \color{blue}{\left(-y1 \cdot \left(a \cdot \left(x \cdot y2\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

      3. unsub-neg 59.9%

         \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right) - y1 \cdot \left(a \cdot \left(x \cdot y2\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

      4. associate-*r* 59.9%

         \[\leadsto \color{blue}{\left(k \cdot y2\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)} - y1 \cdot \left(a \cdot \left(x \cdot y2\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 59.9%

         \[\leadsto \left(k \cdot y2\right) \cdot \left(\color{blue}{y4 \cdot y1} - y0 \cdot y5\right) - y1 \cdot \left(a \cdot \left(x \cdot y2\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 59.9%

         \[\leadsto \left(k \cdot y2\right) \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right) - y1 \cdot \left(a \cdot \left(x \cdot y2\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 59.9%

         \[\leadsto \left(k \cdot y2\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) - y1 \cdot \left(a \cdot \color{blue}{\left(y2 \cdot x\right)} - i \cdot \left(j \cdot x - k \cdot z\right)\right) \]

   7. Simplified 59.9%

      \[\leadsto \color{blue}{\left(k \cdot y2\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) - y1 \cdot \left(a \cdot \left(y2 \cdot x\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -7.2e14 < k < -3.2000000000000002e-114 or -4.1999999999999997e-233 < k < -7.5999999999999998e-241 or 1.1000000000000001 < k < 3.9000000000000001e176

   1. Initial program 36.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 52.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 52.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 52.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 52.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 52.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 52.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 52.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 52.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 52.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around 0 54.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y0 \cdot \left(b \cdot \left(j \cdot x - k \cdot z\right) + y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 54.5%

         \[\leadsto \color{blue}{-y0 \cdot \left(b \cdot \left(j \cdot x - k \cdot z\right) + y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

      2. distribute-rgt-neg-in 54.5%

         \[\leadsto \color{blue}{y0 \cdot \left(-\left(b \cdot \left(j \cdot x - k \cdot z\right) + y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} \]

      3. *-commutative 54.5%

         \[\leadsto y0 \cdot \left(-\left(b \cdot \left(\color{blue}{x \cdot j} - k \cdot z\right) + y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) \]

      4. *-commutative 54.5%

         \[\leadsto y0 \cdot \left(-\left(b \cdot \left(x \cdot j - \color{blue}{z \cdot k}\right) + y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right) \]

      5. distribute-neg-in 54.5%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-b \cdot \left(x \cdot j - z \cdot k\right)\right) + \left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} \]

      6. unsub-neg 54.5%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(-b \cdot \left(x \cdot j - z \cdot k\right)\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]

      7. distribute-rgt-neg-in 54.5%

         \[\leadsto y0 \cdot \left(\color{blue}{b \cdot \left(-\left(x \cdot j - z \cdot k\right)\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      8. neg-sub0 54.5%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(0 - \left(x \cdot j - z \cdot k\right)\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      9. associate-+l- 54.5%

         \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(\left(0 - x \cdot j\right) + z \cdot k\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      10. neg-sub0 54.5%

          \[\leadsto y0 \cdot \left(b \cdot \left(\color{blue}{\left(-x \cdot j\right)} + z \cdot k\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      11. +-commutative 54.5%

          \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(z \cdot k + \left(-x \cdot j\right)\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      12. sub-neg 54.5%

          \[\leadsto y0 \cdot \left(b \cdot \color{blue}{\left(z \cdot k - x \cdot j\right)} - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) \]

      13. sub-neg 54.5%

          \[\leadsto y0 \cdot \left(b \cdot \left(z \cdot k - x \cdot j\right) - y5 \cdot \color{blue}{\left(k \cdot y2 + \left(-j \cdot y3\right)\right)}\right) \]

   7. Simplified 54.5%

      \[\leadsto \color{blue}{y0 \cdot \left(b \cdot \left(z \cdot k - x \cdot j\right) - y5 \cdot \left(y2 \cdot k - y3 \cdot j\right)\right)} \]

   if -3.2000000000000002e-114 < k < -4.1999999999999997e-233 or -3.1000000000000002e-300 < k < 1.1000000000000001

   1. Initial program 40.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 46.8%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in j around 0 48.3%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   if -7.5999999999999998e-241 < k < -3.1000000000000002e-300

   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. Taylor expanded in b around inf 57.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in t around -inf 54.7%

      \[\leadsto \color{blue}{-1 \cdot \left(b \cdot \left(t \cdot \left(-1 \cdot \left(j \cdot y4\right) + a \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. mul-1-neg 54.7%

         \[\leadsto \color{blue}{-b \cdot \left(t \cdot \left(-1 \cdot \left(j \cdot y4\right) + a \cdot z\right)\right)} \]

      2. distribute-rgt-neg-in 54.7%

         \[\leadsto \color{blue}{b \cdot \left(-t \cdot \left(-1 \cdot \left(j \cdot y4\right) + a \cdot z\right)\right)} \]

      3. +-commutative 54.7%

         \[\leadsto b \cdot \left(-t \cdot \color{blue}{\left(a \cdot z + -1 \cdot \left(j \cdot y4\right)\right)}\right) \]

      4. mul-1-neg 54.7%

         \[\leadsto b \cdot \left(-t \cdot \left(a \cdot z + \color{blue}{\left(-j \cdot y4\right)}\right)\right) \]

      5. unsub-neg 54.7%

         \[\leadsto b \cdot \left(-t \cdot \color{blue}{\left(a \cdot z - j \cdot y4\right)}\right) \]

   5. Simplified 54.7%

      \[\leadsto \color{blue}{b \cdot \left(-t \cdot \left(a \cdot z - j \cdot y4\right)\right)} \]

   if 3.9000000000000001e176 < k

   1. Initial program 16.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in i around -inf 45.9%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   3. Taylor expanded in y around inf 62.9%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 53.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;k \leq -4.1 \cdot 10^{+152}:\\ \;\;\;\;y0 \cdot \left(y2 \cdot \left(x \cdot c - k \cdot y5\right)\right)\\ \mathbf{elif}\;k \leq -7.2 \cdot 10^{+14}:\\ \;\;\;\;\left(k \cdot y2\right) \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + y1 \cdot \left(i \cdot \left(x \cdot j - z \cdot k\right) - a \cdot \left(x \cdot y2\right)\right)\\ \mathbf{elif}\;k \leq -3.2 \cdot 10^{-114}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -4.2 \cdot 10^{-233}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq -7.6 \cdot 10^{-241}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;k \leq -3.1 \cdot 10^{-300}:\\ \;\;\;\;b \cdot \left(t \cdot \left(j \cdot y4 - z \cdot a\right)\right)\\ \mathbf{elif}\;k \leq 1.1:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;k \leq 3.9 \cdot 10^{+176}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right) + b \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y \cdot \left(k \cdot y5 - x \cdot c\right)\right)\\ \end{array} \]

Alternative 15: 30.2% accurate, 2.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{if}\;a \leq -2.1 \cdot 10^{+228}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -1.75 \cdot 10^{+161}:\\ \;\;\;\;\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5\right)\\ \mathbf{elif}\;a \leq -8.2 \cdot 10^{+77}:\\ \;\;\;\;\left(a \cdot y1\right) \cdot \left(z \cdot y3 - x \cdot y2\right)\\ \mathbf{elif}\;a \leq -2 \cdot 10^{+24}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-10}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -1.75 \cdot 10^{-202}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;a \leq -6.1 \cdot 10^{-257}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1.95 \cdot 10^{-159}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{+22}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 1.65 \cdot 10^{+103}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(j \cdot y0 - y \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{+173}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y0 (* k (- (* z b) (* y2 y5))))))
   (if (<= a -2.1e+228)
     (* x (* y1 (- (* i j) (* a y2))))
     (if (<= a -1.75e+161)
       (* (- (* t y2) (* y y3)) (* a y5))
       (if (<= a -8.2e+77)
         (* (* a y1) (- (* z y3) (* x y2)))
         (if (<= a -2e+24)
           (* (- (* x j) (* z k)) (* i y1))
           (if (<= a -3.5e-10)
             (* a (* x (- (* y b) (* y1 y2))))
             (if (<= a -1.75e-202)
               t_1
               (if (<= a -6.1e-257)
                 (* i (* x (- (* j y1) (* y c))))
                 (if (<= a -3.5e-304)
                   (* c (* y0 (- (* x y2) (* z y3))))
                   (if (<= a 1.95e-159)
                     (* b (* k (- (* z y0) (* y y4))))
                     (if (<= a 2.9e+22)
                       (* (* i y5) (- (* y k) (* t j)))
                       (if (<= a 1.65e+103)
                         (* y3 (* y5 (- (* j y0) (* y a))))
                         (if (<= a 2.8e+173)
                           t_1
                           (* x (* y2 (- (* c y0) (* a y1))))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (k * ((z * b) - (y2 * y5)));
	double tmp;
	if (a <= -2.1e+228) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (a <= -1.75e+161) {
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	} else if (a <= -8.2e+77) {
		tmp = (a * y1) * ((z * y3) - (x * y2));
	} else if (a <= -2e+24) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if (a <= -3.5e-10) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (a <= -1.75e-202) {
		tmp = t_1;
	} else if (a <= -6.1e-257) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -3.5e-304) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (a <= 1.95e-159) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (a <= 2.9e+22) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (a <= 1.65e+103) {
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	} else if (a <= 2.8e+173) {
		tmp = t_1;
	} else {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y0 * (k * ((z * b) - (y2 * y5)))
    if (a <= (-2.1d+228)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (a <= (-1.75d+161)) then
        tmp = ((t * y2) - (y * y3)) * (a * y5)
    else if (a <= (-8.2d+77)) then
        tmp = (a * y1) * ((z * y3) - (x * y2))
    else if (a <= (-2d+24)) then
        tmp = ((x * j) - (z * k)) * (i * y1)
    else if (a <= (-3.5d-10)) then
        tmp = a * (x * ((y * b) - (y1 * y2)))
    else if (a <= (-1.75d-202)) then
        tmp = t_1
    else if (a <= (-6.1d-257)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (a <= (-3.5d-304)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (a <= 1.95d-159) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (a <= 2.9d+22) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (a <= 1.65d+103) then
        tmp = y3 * (y5 * ((j * y0) - (y * a)))
    else if (a <= 2.8d+173) then
        tmp = t_1
    else
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (k * ((z * b) - (y2 * y5)));
	double tmp;
	if (a <= -2.1e+228) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (a <= -1.75e+161) {
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	} else if (a <= -8.2e+77) {
		tmp = (a * y1) * ((z * y3) - (x * y2));
	} else if (a <= -2e+24) {
		tmp = ((x * j) - (z * k)) * (i * y1);
	} else if (a <= -3.5e-10) {
		tmp = a * (x * ((y * b) - (y1 * y2)));
	} else if (a <= -1.75e-202) {
		tmp = t_1;
	} else if (a <= -6.1e-257) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -3.5e-304) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (a <= 1.95e-159) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (a <= 2.9e+22) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (a <= 1.65e+103) {
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	} else if (a <= 2.8e+173) {
		tmp = t_1;
	} else {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * (k * ((z * b) - (y2 * y5)))
	tmp = 0
	if a <= -2.1e+228:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif a <= -1.75e+161:
		tmp = ((t * y2) - (y * y3)) * (a * y5)
	elif a <= -8.2e+77:
		tmp = (a * y1) * ((z * y3) - (x * y2))
	elif a <= -2e+24:
		tmp = ((x * j) - (z * k)) * (i * y1)
	elif a <= -3.5e-10:
		tmp = a * (x * ((y * b) - (y1 * y2)))
	elif a <= -1.75e-202:
		tmp = t_1
	elif a <= -6.1e-257:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif a <= -3.5e-304:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif a <= 1.95e-159:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif a <= 2.9e+22:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif a <= 1.65e+103:
		tmp = y3 * (y5 * ((j * y0) - (y * a)))
	elif a <= 2.8e+173:
		tmp = t_1
	else:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))))
	tmp = 0.0
	if (a <= -2.1e+228)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (a <= -1.75e+161)
		tmp = Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(a * y5));
	elseif (a <= -8.2e+77)
		tmp = Float64(Float64(a * y1) * Float64(Float64(z * y3) - Float64(x * y2)));
	elseif (a <= -2e+24)
		tmp = Float64(Float64(Float64(x * j) - Float64(z * k)) * Float64(i * y1));
	elseif (a <= -3.5e-10)
		tmp = Float64(a * Float64(x * Float64(Float64(y * b) - Float64(y1 * y2))));
	elseif (a <= -1.75e-202)
		tmp = t_1;
	elseif (a <= -6.1e-257)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (a <= -3.5e-304)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (a <= 1.95e-159)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (a <= 2.9e+22)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (a <= 1.65e+103)
		tmp = Float64(y3 * Float64(y5 * Float64(Float64(j * y0) - Float64(y * a))));
	elseif (a <= 2.8e+173)
		tmp = t_1;
	else
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * (k * ((z * b) - (y2 * y5)));
	tmp = 0.0;
	if (a <= -2.1e+228)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (a <= -1.75e+161)
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	elseif (a <= -8.2e+77)
		tmp = (a * y1) * ((z * y3) - (x * y2));
	elseif (a <= -2e+24)
		tmp = ((x * j) - (z * k)) * (i * y1);
	elseif (a <= -3.5e-10)
		tmp = a * (x * ((y * b) - (y1 * y2)));
	elseif (a <= -1.75e-202)
		tmp = t_1;
	elseif (a <= -6.1e-257)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (a <= -3.5e-304)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (a <= 1.95e-159)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (a <= 2.9e+22)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (a <= 1.65e+103)
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	elseif (a <= 2.8e+173)
		tmp = t_1;
	else
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.1e+228], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.75e+161], N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(a * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -8.2e+77], N[(N[(a * y1), $MachinePrecision] * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -2e+24], N[(N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision] * N[(i * y1), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.5e-10], N[(a * N[(x * N[(N[(y * b), $MachinePrecision] - N[(y1 * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.75e-202], t$95$1, If[LessEqual[a, -6.1e-257], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -3.5e-304], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.95e-159], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.9e+22], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.65e+103], N[(y3 * N[(y5 * N[(N[(j * y0), $MachinePrecision] - N[(y * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 2.8e+173], t$95$1, N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if a < -2.09999999999999994e228

   1. Initial program 10.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 23.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 23.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 23.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 23.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 23.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 23.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in x around inf 60.1%

      \[\leadsto \color{blue}{-1 \cdot \left(x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 60.1%

         \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

      2. *-commutative 60.1%

         \[\leadsto -x \cdot \left(y1 \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right)\right) \]

      3. *-commutative 60.1%

         \[\leadsto -x \cdot \left(y1 \cdot \left(y2 \cdot a - \color{blue}{j \cdot i}\right)\right) \]

   7. Simplified 60.1%

      \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(y2 \cdot a - j \cdot i\right)\right)} \]

   if -2.09999999999999994e228 < a < -1.74999999999999994e161

   1. Initial program 9.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 63.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in a around inf 56.5%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 73.6%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(a \cdot y5\right) \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

      2. *-commutative 73.6%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(y5 \cdot a\right)} \cdot \left(y \cdot y3 - t \cdot y2\right)\right) \]

      3. *-commutative 73.6%

         \[\leadsto -1 \cdot \left(\left(y5 \cdot a\right) \cdot \left(\color{blue}{y3 \cdot y} - t \cdot y2\right)\right) \]

      4. *-commutative 73.6%

         \[\leadsto -1 \cdot \left(\left(y5 \cdot a\right) \cdot \left(y3 \cdot y - \color{blue}{y2 \cdot t}\right)\right) \]

   5. Simplified 73.6%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(y5 \cdot a\right) \cdot \left(y3 \cdot y - y2 \cdot t\right)\right)} \]

   if -1.74999999999999994e161 < a < -8.2000000000000002e77

   1. Initial program 29.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 41.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 41.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 41.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in a around inf 46.5%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 46.5%

         \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

      2. associate-*r* 46.5%

         \[\leadsto -\color{blue}{\left(a \cdot y1\right) \cdot \left(x \cdot y2 - y3 \cdot z\right)} \]

      3. *-commutative 46.5%

         \[\leadsto -\left(a \cdot y1\right) \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right) \]

      4. distribute-rgt-neg-in 46.5%

         \[\leadsto \color{blue}{\left(a \cdot y1\right) \cdot \left(-\left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   7. Simplified 46.5%

      \[\leadsto \color{blue}{\left(a \cdot y1\right) \cdot \left(-\left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if -8.2000000000000002e77 < a < -2e24

   1. Initial program 45.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 55.1%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 55.1%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 55.1%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 55.1%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 55.1%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 55.1%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 56.1%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 56.1%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 73.4%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 73.4%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 73.4%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   if -2e24 < a < -3.4999999999999998e-10

   1. Initial program 55.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 66.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in a around inf 56.6%

      \[\leadsto \color{blue}{a \cdot \left(x \cdot \left(-1 \cdot \left(y1 \cdot y2\right) + b \cdot y\right)\right)} \]

   if -3.4999999999999998e-10 < a < -1.75e-202 or 1.65000000000000004e103 < a < 2.79999999999999982e173

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 49.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 49.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 49.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 49.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in k around -inf 48.1%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right)\right) \]

      3. unsub-neg 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)}\right) \]

      4. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right)\right) \]

   7. Simplified 48.1%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)} \]

   if -1.75e-202 < a < -6.0999999999999996e-257

   1. Initial program 55.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in i around -inf 66.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   3. Taylor expanded in x around inf 78.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 78.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(x \cdot \left(\color{blue}{y \cdot c} - j \cdot y1\right)\right)\right) \]

   5. Simplified 78.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(y \cdot c - j \cdot y1\right)\right)\right)} \]

   if -6.0999999999999996e-257 < a < -3.5e-304

   1. Initial program 36.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 64.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 64.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 64.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 64.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 73.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -3.5e-304 < a < 1.94999999999999988e-159

   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. Taylor expanded in b around inf 48.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in k around inf 48.9%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y4\right) - -1 \cdot \left(y0 \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. distribute-lft-out-- 48.9%

         \[\leadsto b \cdot \left(k \cdot \color{blue}{\left(-1 \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)}\right) \]

   5. Simplified 48.9%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)\right)} \]

   if 1.94999999999999988e-159 < a < 2.9e22

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 44.8%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in i around inf 47.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right)\right)} \]
   4. Step-by-step derivation

      1. cancel-sign-sub-inv 47.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right)\right) \]

      2. fma-udef 47.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)}\right)\right) \]

      3. associate-*r* 50.6%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)\right)} \]

      4. fma-udef 50.6%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right) \]

      5. cancel-sign-sub-inv 50.6%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t - k \cdot y\right)}\right) \]

   5. Simplified 50.6%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 2.9e22 < a < 1.65000000000000004e103

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 53.3%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in y3 around inf 53.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(y5 \cdot \left(-1 \cdot \left(j \cdot y0\right) - -1 \cdot \left(a \cdot y\right)\right)\right)\right)} \]
   4. Step-by-step derivation

      1. distribute-lft-out-- 53.5%

         \[\leadsto -1 \cdot \left(y3 \cdot \left(y5 \cdot \color{blue}{\left(-1 \cdot \left(j \cdot y0 - a \cdot y\right)\right)}\right)\right) \]

      2. *-commutative 53.5%

         \[\leadsto -1 \cdot \left(y3 \cdot \left(y5 \cdot \left(-1 \cdot \left(\color{blue}{y0 \cdot j} - a \cdot y\right)\right)\right)\right) \]

   5. Simplified 53.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(y5 \cdot \left(-1 \cdot \left(y0 \cdot j - a \cdot y\right)\right)\right)\right)} \]

   if 2.79999999999999982e173 < a

   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. Taylor expanded in y2 around inf 44.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in x around inf 64.3%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 64.3%

         \[\leadsto x \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot c} - a \cdot y1\right)\right) \]

   5. Simplified 64.3%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 56.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.1 \cdot 10^{+228}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -1.75 \cdot 10^{+161}:\\ \;\;\;\;\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5\right)\\ \mathbf{elif}\;a \leq -8.2 \cdot 10^{+77}:\\ \;\;\;\;\left(a \cdot y1\right) \cdot \left(z \cdot y3 - x \cdot y2\right)\\ \mathbf{elif}\;a \leq -2 \cdot 10^{+24}:\\ \;\;\;\;\left(x \cdot j - z \cdot k\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-10}:\\ \;\;\;\;a \cdot \left(x \cdot \left(y \cdot b - y1 \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -1.75 \cdot 10^{-202}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -6.1 \cdot 10^{-257}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -3.5 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1.95 \cdot 10^{-159}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 2.9 \cdot 10^{+22}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 1.65 \cdot 10^{+103}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(j \cdot y0 - y \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 2.8 \cdot 10^{+173}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 16: 29.8% accurate, 2.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot \left(-y1\right)\\ t_2 := y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ t_3 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ t_4 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{if}\;y1 \leq -3 \cdot 10^{+243}:\\ \;\;\;\;k \cdot \left(i \cdot t_1\right)\\ \mathbf{elif}\;y1 \leq -1.5 \cdot 10^{+203}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y1 \leq -7.2 \cdot 10^{+185}:\\ \;\;\;\;i \cdot \left(k \cdot t_1\right)\\ \mathbf{elif}\;y1 \leq -0.055:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq -8.6 \cdot 10^{-92}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y1 \leq -7.4 \cdot 10^{-157}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq -6.5 \cdot 10^{-239}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y1 \leq 5.2 \cdot 10^{-284}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 2.4 \cdot 10^{-178}:\\ \;\;\;\;t_4\\ \mathbf{elif}\;y1 \leq 1.4 \cdot 10^{+142}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y1 \leq 5.5 \cdot 10^{+231}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* z (- y1)))
        (t_2 (* y0 (* y5 (- (* j y3) (* k y2)))))
        (t_3 (* j (* x (- (* i y1) (* b y0)))))
        (t_4 (* c (* y0 (- (* x y2) (* z y3))))))
   (if (<= y1 -3e+243)
     (* k (* i t_1))
     (if (<= y1 -1.5e+203)
       t_3
       (if (<= y1 -7.2e+185)
         (* i (* k t_1))
         (if (<= y1 -0.055)
           (* x (* y2 (- (* c y0) (* a y1))))
           (if (<= y1 -8.6e-92)
             t_2
             (if (<= y1 -7.4e-157)
               (* t (* y2 (- (* a y5) (* c y4))))
               (if (<= y1 -6.5e-239)
                 t_4
                 (if (<= y1 5.2e-284)
                   (* y0 (* k (- (* z b) (* y2 y5))))
                   (if (<= y1 2.4e-178)
                     t_4
                     (if (<= y1 1.4e+142)
                       t_2
                       (if (<= y1 5.5e+231)
                         t_3
                         (* y1 (* y4 (- (* k y2) (* j y3)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * -y1;
	double t_2 = y0 * (y5 * ((j * y3) - (k * y2)));
	double t_3 = j * (x * ((i * y1) - (b * y0)));
	double t_4 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y1 <= -3e+243) {
		tmp = k * (i * t_1);
	} else if (y1 <= -1.5e+203) {
		tmp = t_3;
	} else if (y1 <= -7.2e+185) {
		tmp = i * (k * t_1);
	} else if (y1 <= -0.055) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y1 <= -8.6e-92) {
		tmp = t_2;
	} else if (y1 <= -7.4e-157) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y1 <= -6.5e-239) {
		tmp = t_4;
	} else if (y1 <= 5.2e-284) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y1 <= 2.4e-178) {
		tmp = t_4;
	} else if (y1 <= 1.4e+142) {
		tmp = t_2;
	} else if (y1 <= 5.5e+231) {
		tmp = t_3;
	} else {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: tmp
    t_1 = z * -y1
    t_2 = y0 * (y5 * ((j * y3) - (k * y2)))
    t_3 = j * (x * ((i * y1) - (b * y0)))
    t_4 = c * (y0 * ((x * y2) - (z * y3)))
    if (y1 <= (-3d+243)) then
        tmp = k * (i * t_1)
    else if (y1 <= (-1.5d+203)) then
        tmp = t_3
    else if (y1 <= (-7.2d+185)) then
        tmp = i * (k * t_1)
    else if (y1 <= (-0.055d0)) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y1 <= (-8.6d-92)) then
        tmp = t_2
    else if (y1 <= (-7.4d-157)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (y1 <= (-6.5d-239)) then
        tmp = t_4
    else if (y1 <= 5.2d-284) then
        tmp = y0 * (k * ((z * b) - (y2 * y5)))
    else if (y1 <= 2.4d-178) then
        tmp = t_4
    else if (y1 <= 1.4d+142) then
        tmp = t_2
    else if (y1 <= 5.5d+231) then
        tmp = t_3
    else
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * -y1;
	double t_2 = y0 * (y5 * ((j * y3) - (k * y2)));
	double t_3 = j * (x * ((i * y1) - (b * y0)));
	double t_4 = c * (y0 * ((x * y2) - (z * y3)));
	double tmp;
	if (y1 <= -3e+243) {
		tmp = k * (i * t_1);
	} else if (y1 <= -1.5e+203) {
		tmp = t_3;
	} else if (y1 <= -7.2e+185) {
		tmp = i * (k * t_1);
	} else if (y1 <= -0.055) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y1 <= -8.6e-92) {
		tmp = t_2;
	} else if (y1 <= -7.4e-157) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y1 <= -6.5e-239) {
		tmp = t_4;
	} else if (y1 <= 5.2e-284) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y1 <= 2.4e-178) {
		tmp = t_4;
	} else if (y1 <= 1.4e+142) {
		tmp = t_2;
	} else if (y1 <= 5.5e+231) {
		tmp = t_3;
	} else {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = z * -y1
	t_2 = y0 * (y5 * ((j * y3) - (k * y2)))
	t_3 = j * (x * ((i * y1) - (b * y0)))
	t_4 = c * (y0 * ((x * y2) - (z * y3)))
	tmp = 0
	if y1 <= -3e+243:
		tmp = k * (i * t_1)
	elif y1 <= -1.5e+203:
		tmp = t_3
	elif y1 <= -7.2e+185:
		tmp = i * (k * t_1)
	elif y1 <= -0.055:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y1 <= -8.6e-92:
		tmp = t_2
	elif y1 <= -7.4e-157:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif y1 <= -6.5e-239:
		tmp = t_4
	elif y1 <= 5.2e-284:
		tmp = y0 * (k * ((z * b) - (y2 * y5)))
	elif y1 <= 2.4e-178:
		tmp = t_4
	elif y1 <= 1.4e+142:
		tmp = t_2
	elif y1 <= 5.5e+231:
		tmp = t_3
	else:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(z * Float64(-y1))
	t_2 = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))))
	t_3 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	t_4 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	tmp = 0.0
	if (y1 <= -3e+243)
		tmp = Float64(k * Float64(i * t_1));
	elseif (y1 <= -1.5e+203)
		tmp = t_3;
	elseif (y1 <= -7.2e+185)
		tmp = Float64(i * Float64(k * t_1));
	elseif (y1 <= -0.055)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y1 <= -8.6e-92)
		tmp = t_2;
	elseif (y1 <= -7.4e-157)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (y1 <= -6.5e-239)
		tmp = t_4;
	elseif (y1 <= 5.2e-284)
		tmp = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (y1 <= 2.4e-178)
		tmp = t_4;
	elseif (y1 <= 1.4e+142)
		tmp = t_2;
	elseif (y1 <= 5.5e+231)
		tmp = t_3;
	else
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = z * -y1;
	t_2 = y0 * (y5 * ((j * y3) - (k * y2)));
	t_3 = j * (x * ((i * y1) - (b * y0)));
	t_4 = c * (y0 * ((x * y2) - (z * y3)));
	tmp = 0.0;
	if (y1 <= -3e+243)
		tmp = k * (i * t_1);
	elseif (y1 <= -1.5e+203)
		tmp = t_3;
	elseif (y1 <= -7.2e+185)
		tmp = i * (k * t_1);
	elseif (y1 <= -0.055)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y1 <= -8.6e-92)
		tmp = t_2;
	elseif (y1 <= -7.4e-157)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (y1 <= -6.5e-239)
		tmp = t_4;
	elseif (y1 <= 5.2e-284)
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	elseif (y1 <= 2.4e-178)
		tmp = t_4;
	elseif (y1 <= 1.4e+142)
		tmp = t_2;
	elseif (y1 <= 5.5e+231)
		tmp = t_3;
	else
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(z * (-y1)), $MachinePrecision]}, Block[{t$95$2 = N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -3e+243], N[(k * N[(i * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.5e+203], t$95$3, If[LessEqual[y1, -7.2e+185], N[(i * N[(k * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -0.055], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -8.6e-92], t$95$2, If[LessEqual[y1, -7.4e-157], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -6.5e-239], t$95$4, If[LessEqual[y1, 5.2e-284], N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.4e-178], t$95$4, If[LessEqual[y1, 1.4e+142], t$95$2, If[LessEqual[y1, 5.5e+231], t$95$3, N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y1 < -2.99999999999999984e243

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 42.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 44.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 44.3%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 37.4%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 37.4%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 37.4%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 57.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 57.8%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 57.8%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 57.8%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 57.8%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 57.8%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   11. Taylor expanded in k around 0 57.8%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   12. Step-by-step derivation

       1. mul-1-neg 57.8%

          \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

       2. *-commutative 57.8%

          \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

       3. distribute-rgt-neg-in 57.8%

          \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

       4. associate-*r* 64.5%

          \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   13. Simplified 64.5%

       \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   if -2.99999999999999984e243 < y1 < -1.5e203 or 1.4e142 < y1 < 5.5e231

   1. Initial program 31.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 50.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in j around inf 59.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 59.8%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 59.8%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   5. Simplified 59.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if -1.5e203 < y1 < -7.20000000000000058e185

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 20.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 20.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 20.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 42.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 42.2%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 42.9%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 42.9%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 42.9%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 81.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 81.3%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 81.3%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 81.3%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 81.3%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 81.3%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   if -7.20000000000000058e185 < y1 < -0.0550000000000000003

   1. Initial program 32.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 41.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in x around inf 51.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 51.5%

         \[\leadsto x \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot c} - a \cdot y1\right)\right) \]

   5. Simplified 51.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]

   if -0.0550000000000000003 < y1 < -8.60000000000000027e-92 or 2.40000000000000005e-178 < y1 < 1.4e142

   1. Initial program 34.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 46.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 46.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 46.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in y5 around inf 42.2%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 42.2%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot j} - k \cdot y2\right)\right) \]

      2. *-commutative 42.2%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(y3 \cdot j - \color{blue}{y2 \cdot k}\right)\right) \]

   7. Simplified 42.2%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(y3 \cdot j - y2 \cdot k\right)\right)} \]

   if -8.60000000000000027e-92 < y1 < -7.3999999999999995e-157

   1. Initial program 57.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 50.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 50.6%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -7.3999999999999995e-157 < y1 < -6.5000000000000003e-239 or 5.2e-284 < y1 < 2.40000000000000005e-178

   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. Taylor expanded in y0 around inf 37.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 37.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 37.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 37.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 37.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 37.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 37.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 37.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 37.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 45.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -6.5000000000000003e-239 < y1 < 5.2e-284

   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. Taylor expanded in y0 around inf 63.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 63.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 63.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 63.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 63.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 63.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 63.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 63.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 63.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in k around -inf 52.2%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 52.2%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 52.2%

         \[\leadsto y0 \cdot \left(k \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right)\right) \]

      3. unsub-neg 52.2%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)}\right) \]

      4. *-commutative 52.2%

         \[\leadsto y0 \cdot \left(k \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right)\right) \]

   7. Simplified 52.2%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)} \]

   if 5.5e231 < y1

   1. Initial program 7.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 46.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in y4 around inf 69.7%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 69.7%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(k \cdot y2 - j \cdot y3\right) \cdot y4\right)} \]

   7. Simplified 69.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(k \cdot y2 - j \cdot y3\right) \cdot y4\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 50.6%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -3 \cdot 10^{+243}:\\ \;\;\;\;k \cdot \left(i \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.5 \cdot 10^{+203}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -7.2 \cdot 10^{+185}:\\ \;\;\;\;i \cdot \left(k \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -0.055:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq -8.6 \cdot 10^{-92}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -7.4 \cdot 10^{-157}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq -6.5 \cdot 10^{-239}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 5.2 \cdot 10^{-284}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 2.4 \cdot 10^{-178}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 1.4 \cdot 10^{+142}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 5.5 \cdot 10^{+231}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \]

Alternative 17: 29.6% accurate, 2.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_2 := z \cdot \left(-y1\right)\\ t_3 := j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{if}\;y1 \leq -3.8 \cdot 10^{+243}:\\ \;\;\;\;k \cdot \left(i \cdot t_2\right)\\ \mathbf{elif}\;y1 \leq -4.6 \cdot 10^{+210}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y1 \leq -7 \cdot 10^{+185}:\\ \;\;\;\;i \cdot \left(k \cdot t_2\right)\\ \mathbf{elif}\;y1 \leq -0.054:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq -4.9 \cdot 10^{-119}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq -1.35 \cdot 10^{-214}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq -2.15 \cdot 10^{-232}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 2.45 \cdot 10^{-278}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 9.6 \cdot 10^{-179}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq 5.4 \cdot 10^{+141}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 7.5 \cdot 10^{+230}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y0 (- (* x y2) (* z y3)))))
        (t_2 (* z (- y1)))
        (t_3 (* j (* x (- (* i y1) (* b y0))))))
   (if (<= y1 -3.8e+243)
     (* k (* i t_2))
     (if (<= y1 -4.6e+210)
       t_3
       (if (<= y1 -7e+185)
         (* i (* k t_2))
         (if (<= y1 -0.054)
           (* x (* y2 (- (* c y0) (* a y1))))
           (if (<= y1 -4.9e-119)
             (* (* a b) (- (* x y) (* z t)))
             (if (<= y1 -1.35e-214)
               t_1
               (if (<= y1 -2.15e-232)
                 (* t (* y2 (- (* a y5) (* c y4))))
                 (if (<= y1 2.45e-278)
                   (* y0 (* k (- (* z b) (* y2 y5))))
                   (if (<= y1 9.6e-179)
                     t_1
                     (if (<= y1 5.4e+141)
                       (* y0 (* y5 (- (* j y3) (* k y2))))
                       (if (<= y1 7.5e+230)
                         t_3
                         (* y1 (* y4 (- (* k y2) (* j y3)))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double t_2 = z * -y1;
	double t_3 = j * (x * ((i * y1) - (b * y0)));
	double tmp;
	if (y1 <= -3.8e+243) {
		tmp = k * (i * t_2);
	} else if (y1 <= -4.6e+210) {
		tmp = t_3;
	} else if (y1 <= -7e+185) {
		tmp = i * (k * t_2);
	} else if (y1 <= -0.054) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y1 <= -4.9e-119) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= -1.35e-214) {
		tmp = t_1;
	} else if (y1 <= -2.15e-232) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y1 <= 2.45e-278) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y1 <= 9.6e-179) {
		tmp = t_1;
	} else if (y1 <= 5.4e+141) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y1 <= 7.5e+230) {
		tmp = t_3;
	} else {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = c * (y0 * ((x * y2) - (z * y3)))
    t_2 = z * -y1
    t_3 = j * (x * ((i * y1) - (b * y0)))
    if (y1 <= (-3.8d+243)) then
        tmp = k * (i * t_2)
    else if (y1 <= (-4.6d+210)) then
        tmp = t_3
    else if (y1 <= (-7d+185)) then
        tmp = i * (k * t_2)
    else if (y1 <= (-0.054d0)) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y1 <= (-4.9d-119)) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (y1 <= (-1.35d-214)) then
        tmp = t_1
    else if (y1 <= (-2.15d-232)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (y1 <= 2.45d-278) then
        tmp = y0 * (k * ((z * b) - (y2 * y5)))
    else if (y1 <= 9.6d-179) then
        tmp = t_1
    else if (y1 <= 5.4d+141) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (y1 <= 7.5d+230) then
        tmp = t_3
    else
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double t_2 = z * -y1;
	double t_3 = j * (x * ((i * y1) - (b * y0)));
	double tmp;
	if (y1 <= -3.8e+243) {
		tmp = k * (i * t_2);
	} else if (y1 <= -4.6e+210) {
		tmp = t_3;
	} else if (y1 <= -7e+185) {
		tmp = i * (k * t_2);
	} else if (y1 <= -0.054) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y1 <= -4.9e-119) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= -1.35e-214) {
		tmp = t_1;
	} else if (y1 <= -2.15e-232) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y1 <= 2.45e-278) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y1 <= 9.6e-179) {
		tmp = t_1;
	} else if (y1 <= 5.4e+141) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y1 <= 7.5e+230) {
		tmp = t_3;
	} else {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y0 * ((x * y2) - (z * y3)))
	t_2 = z * -y1
	t_3 = j * (x * ((i * y1) - (b * y0)))
	tmp = 0
	if y1 <= -3.8e+243:
		tmp = k * (i * t_2)
	elif y1 <= -4.6e+210:
		tmp = t_3
	elif y1 <= -7e+185:
		tmp = i * (k * t_2)
	elif y1 <= -0.054:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y1 <= -4.9e-119:
		tmp = (a * b) * ((x * y) - (z * t))
	elif y1 <= -1.35e-214:
		tmp = t_1
	elif y1 <= -2.15e-232:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif y1 <= 2.45e-278:
		tmp = y0 * (k * ((z * b) - (y2 * y5)))
	elif y1 <= 9.6e-179:
		tmp = t_1
	elif y1 <= 5.4e+141:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif y1 <= 7.5e+230:
		tmp = t_3
	else:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	t_2 = Float64(z * Float64(-y1))
	t_3 = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))))
	tmp = 0.0
	if (y1 <= -3.8e+243)
		tmp = Float64(k * Float64(i * t_2));
	elseif (y1 <= -4.6e+210)
		tmp = t_3;
	elseif (y1 <= -7e+185)
		tmp = Float64(i * Float64(k * t_2));
	elseif (y1 <= -0.054)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y1 <= -4.9e-119)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (y1 <= -1.35e-214)
		tmp = t_1;
	elseif (y1 <= -2.15e-232)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (y1 <= 2.45e-278)
		tmp = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (y1 <= 9.6e-179)
		tmp = t_1;
	elseif (y1 <= 5.4e+141)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y1 <= 7.5e+230)
		tmp = t_3;
	else
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y0 * ((x * y2) - (z * y3)));
	t_2 = z * -y1;
	t_3 = j * (x * ((i * y1) - (b * y0)));
	tmp = 0.0;
	if (y1 <= -3.8e+243)
		tmp = k * (i * t_2);
	elseif (y1 <= -4.6e+210)
		tmp = t_3;
	elseif (y1 <= -7e+185)
		tmp = i * (k * t_2);
	elseif (y1 <= -0.054)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y1 <= -4.9e-119)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (y1 <= -1.35e-214)
		tmp = t_1;
	elseif (y1 <= -2.15e-232)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (y1 <= 2.45e-278)
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	elseif (y1 <= 9.6e-179)
		tmp = t_1;
	elseif (y1 <= 5.4e+141)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (y1 <= 7.5e+230)
		tmp = t_3;
	else
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(z * (-y1)), $MachinePrecision]}, Block[{t$95$3 = N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -3.8e+243], N[(k * N[(i * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -4.6e+210], t$95$3, If[LessEqual[y1, -7e+185], N[(i * N[(k * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -0.054], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -4.9e-119], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.35e-214], t$95$1, If[LessEqual[y1, -2.15e-232], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.45e-278], N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 9.6e-179], t$95$1, If[LessEqual[y1, 5.4e+141], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 7.5e+230], t$95$3, N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if y1 < -3.79999999999999998e243

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 42.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 44.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 44.3%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 37.4%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 37.4%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 37.4%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 57.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 57.8%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 57.8%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 57.8%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 57.8%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 57.8%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   11. Taylor expanded in k around 0 57.8%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   12. Step-by-step derivation

       1. mul-1-neg 57.8%

          \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

       2. *-commutative 57.8%

          \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

       3. distribute-rgt-neg-in 57.8%

          \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

       4. associate-*r* 64.5%

          \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   13. Simplified 64.5%

       \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   if -3.79999999999999998e243 < y1 < -4.5999999999999998e210 or 5.4000000000000002e141 < y1 < 7.5000000000000004e230

   1. Initial program 31.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 50.3%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in j around inf 59.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 59.8%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 59.8%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   5. Simplified 59.8%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if -4.5999999999999998e210 < y1 < -7.00000000000000046e185

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 20.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 20.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 20.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 42.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 42.2%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 42.9%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 42.9%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 42.9%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 81.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 81.3%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 81.3%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 81.3%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 81.3%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 81.3%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   if -7.00000000000000046e185 < y1 < -0.0539999999999999994

   1. Initial program 32.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 41.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in x around inf 51.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 51.5%

         \[\leadsto x \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot c} - a \cdot y1\right)\right) \]

   5. Simplified 51.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]

   if -0.0539999999999999994 < y1 < -4.9e-119

   1. Initial program 42.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 30.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 30.0%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y - t \cdot z\right)} \]

      2. *-commutative 30.0%

         \[\leadsto \left(a \cdot b\right) \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right) \]

   5. Simplified 30.0%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(y \cdot x - t \cdot z\right)} \]

   if -4.9e-119 < y1 < -1.35e-214 or 2.4500000000000001e-278 < y1 < 9.6000000000000002e-179

   1. Initial program 35.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 44.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 44.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 44.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 44.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 44.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 44.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 44.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 44.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 44.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 50.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -1.35e-214 < y1 < -2.1499999999999998e-232

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 52.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 52.6%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -2.1499999999999998e-232 < y1 < 2.4500000000000001e-278

   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. Taylor expanded in y0 around inf 60.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 60.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 60.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 60.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 60.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 60.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 60.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 60.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in k around -inf 49.6%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 49.6%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 49.6%

         \[\leadsto y0 \cdot \left(k \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right)\right) \]

      3. unsub-neg 49.6%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)}\right) \]

      4. *-commutative 49.6%

         \[\leadsto y0 \cdot \left(k \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right)\right) \]

   7. Simplified 49.6%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)} \]

   if 9.6000000000000002e-179 < y1 < 5.4000000000000002e141

   1. Initial program 32.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 53.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 53.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 53.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 53.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 53.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 53.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 53.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 53.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 53.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in y5 around inf 46.5%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 46.5%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot j} - k \cdot y2\right)\right) \]

      2. *-commutative 46.5%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(y3 \cdot j - \color{blue}{y2 \cdot k}\right)\right) \]

   7. Simplified 46.5%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(y3 \cdot j - y2 \cdot k\right)\right)} \]

   if 7.5000000000000004e230 < y1

   1. Initial program 7.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 46.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in y4 around inf 69.7%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 69.7%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(k \cdot y2 - j \cdot y3\right) \cdot y4\right)} \]

   7. Simplified 69.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(k \cdot y2 - j \cdot y3\right) \cdot y4\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 51.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -3.8 \cdot 10^{+243}:\\ \;\;\;\;k \cdot \left(i \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -4.6 \cdot 10^{+210}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -7 \cdot 10^{+185}:\\ \;\;\;\;i \cdot \left(k \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -0.054:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq -4.9 \cdot 10^{-119}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq -1.35 \cdot 10^{-214}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -2.15 \cdot 10^{-232}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 2.45 \cdot 10^{-278}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 9.6 \cdot 10^{-179}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 5.4 \cdot 10^{+141}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq 7.5 \cdot 10^{+230}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \]

Alternative 18: 30.9% accurate, 2.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y0 \leq -1.3 \cdot 10^{+176}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -8 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq -1.2 \cdot 10^{-37}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq -7.5 \cdot 10^{-79}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y0 \leq -3.2 \cdot 10^{-138}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y0 \leq -8.5 \cdot 10^{-206}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b - c \cdot i\right)\\ \mathbf{elif}\;y0 \leq 1.02 \cdot 10^{-287}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 2.3 \cdot 10^{-254}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y0 \leq 5.8 \cdot 10^{-58}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y0 \leq 1.3 \cdot 10^{+237}:\\ \;\;\;\;\left(x \cdot c - k \cdot y5\right) \cdot \left(y0 \cdot y2\right)\\ \mathbf{elif}\;y0 \leq 1.7 \cdot 10^{+291}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y0 -1.3e+176)
   (* y0 (* y5 (- (* j y3) (* k y2))))
   (if (<= y0 -8e+47)
     (* b (* y0 (- (* z k) (* x j))))
     (if (<= y0 -1.2e-37)
       (* t (* y2 (- (* a y5) (* c y4))))
       (if (<= y0 -7.5e-79)
         (* b (* y4 (- (* t j) (* y k))))
         (if (<= y0 -3.2e-138)
           (* y1 (* y2 (- (* k y4) (* x a))))
           (if (<= y0 -8.5e-206)
             (* (* x y) (- (* a b) (* c i)))
             (if (<= y0 1.02e-287)
               (* a (* y1 (- (* z y3) (* x y2))))
               (if (<= y0 2.3e-254)
                 (* (* a b) (- (* x y) (* z t)))
                 (if (<= y0 5.8e-58)
                   (* i (* y1 (- (* x j) (* z k))))
                   (if (<= y0 1.3e+237)
                     (* (- (* x c) (* k y5)) (* y0 y2))
                     (if (<= y0 1.7e+291)
                       (* b (* x (- (* y a) (* j y0))))
                       (* k (* y2 (- (* y1 y4) (* y0 y5))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y0 <= -1.3e+176) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y0 <= -8e+47) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y0 <= -1.2e-37) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y0 <= -7.5e-79) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y0 <= -3.2e-138) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y0 <= -8.5e-206) {
		tmp = (x * y) * ((a * b) - (c * i));
	} else if (y0 <= 1.02e-287) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (y0 <= 2.3e-254) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y0 <= 5.8e-58) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y0 <= 1.3e+237) {
		tmp = ((x * c) - (k * y5)) * (y0 * y2);
	} else if (y0 <= 1.7e+291) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y0 <= (-1.3d+176)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (y0 <= (-8d+47)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y0 <= (-1.2d-37)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (y0 <= (-7.5d-79)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y0 <= (-3.2d-138)) then
        tmp = y1 * (y2 * ((k * y4) - (x * a)))
    else if (y0 <= (-8.5d-206)) then
        tmp = (x * y) * ((a * b) - (c * i))
    else if (y0 <= 1.02d-287) then
        tmp = a * (y1 * ((z * y3) - (x * y2)))
    else if (y0 <= 2.3d-254) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (y0 <= 5.8d-58) then
        tmp = i * (y1 * ((x * j) - (z * k)))
    else if (y0 <= 1.3d+237) then
        tmp = ((x * c) - (k * y5)) * (y0 * y2)
    else if (y0 <= 1.7d+291) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y0 <= -1.3e+176) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (y0 <= -8e+47) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y0 <= -1.2e-37) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y0 <= -7.5e-79) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y0 <= -3.2e-138) {
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	} else if (y0 <= -8.5e-206) {
		tmp = (x * y) * ((a * b) - (c * i));
	} else if (y0 <= 1.02e-287) {
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	} else if (y0 <= 2.3e-254) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y0 <= 5.8e-58) {
		tmp = i * (y1 * ((x * j) - (z * k)));
	} else if (y0 <= 1.3e+237) {
		tmp = ((x * c) - (k * y5)) * (y0 * y2);
	} else if (y0 <= 1.7e+291) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y0 <= -1.3e+176:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif y0 <= -8e+47:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y0 <= -1.2e-37:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif y0 <= -7.5e-79:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y0 <= -3.2e-138:
		tmp = y1 * (y2 * ((k * y4) - (x * a)))
	elif y0 <= -8.5e-206:
		tmp = (x * y) * ((a * b) - (c * i))
	elif y0 <= 1.02e-287:
		tmp = a * (y1 * ((z * y3) - (x * y2)))
	elif y0 <= 2.3e-254:
		tmp = (a * b) * ((x * y) - (z * t))
	elif y0 <= 5.8e-58:
		tmp = i * (y1 * ((x * j) - (z * k)))
	elif y0 <= 1.3e+237:
		tmp = ((x * c) - (k * y5)) * (y0 * y2)
	elif y0 <= 1.7e+291:
		tmp = b * (x * ((y * a) - (j * y0)))
	else:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y0 <= -1.3e+176)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (y0 <= -8e+47)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y0 <= -1.2e-37)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (y0 <= -7.5e-79)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y0 <= -3.2e-138)
		tmp = Float64(y1 * Float64(y2 * Float64(Float64(k * y4) - Float64(x * a))));
	elseif (y0 <= -8.5e-206)
		tmp = Float64(Float64(x * y) * Float64(Float64(a * b) - Float64(c * i)));
	elseif (y0 <= 1.02e-287)
		tmp = Float64(a * Float64(y1 * Float64(Float64(z * y3) - Float64(x * y2))));
	elseif (y0 <= 2.3e-254)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (y0 <= 5.8e-58)
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	elseif (y0 <= 1.3e+237)
		tmp = Float64(Float64(Float64(x * c) - Float64(k * y5)) * Float64(y0 * y2));
	elseif (y0 <= 1.7e+291)
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	else
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y0 <= -1.3e+176)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (y0 <= -8e+47)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y0 <= -1.2e-37)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (y0 <= -7.5e-79)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y0 <= -3.2e-138)
		tmp = y1 * (y2 * ((k * y4) - (x * a)));
	elseif (y0 <= -8.5e-206)
		tmp = (x * y) * ((a * b) - (c * i));
	elseif (y0 <= 1.02e-287)
		tmp = a * (y1 * ((z * y3) - (x * y2)));
	elseif (y0 <= 2.3e-254)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (y0 <= 5.8e-58)
		tmp = i * (y1 * ((x * j) - (z * k)));
	elseif (y0 <= 1.3e+237)
		tmp = ((x * c) - (k * y5)) * (y0 * y2);
	elseif (y0 <= 1.7e+291)
		tmp = b * (x * ((y * a) - (j * y0)));
	else
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y0, -1.3e+176], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -8e+47], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -1.2e-37], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -7.5e-79], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -3.2e-138], N[(y1 * N[(y2 * N[(N[(k * y4), $MachinePrecision] - N[(x * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, -8.5e-206], N[(N[(x * y), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.02e-287], N[(a * N[(y1 * N[(N[(z * y3), $MachinePrecision] - N[(x * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 2.3e-254], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 5.8e-58], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.3e+237], N[(N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision] * N[(y0 * y2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y0, 1.7e+291], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]

Derivation

1. Split input into 12 regimes

2. if y0 < -1.29999999999999995e176

   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. Taylor expanded in y0 around inf 73.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 73.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 73.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 73.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 73.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 73.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 73.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 73.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 73.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in y5 around inf 77.0%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 77.0%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot j} - k \cdot y2\right)\right) \]

      2. *-commutative 77.0%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(y3 \cdot j - \color{blue}{y2 \cdot k}\right)\right) \]

   7. Simplified 77.0%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(y3 \cdot j - y2 \cdot k\right)\right)} \]

   if -1.29999999999999995e176 < y0 < -8.0000000000000004e47

   1. Initial program 15.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 46.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 47.1%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -8.0000000000000004e47 < y0 < -1.19999999999999995e-37

   1. Initial program 42.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 54.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 50.8%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -1.19999999999999995e-37 < y0 < -7.49999999999999969e-79

   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. Taylor expanded in b around inf 46.3%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y4 around inf 46.4%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -7.49999999999999969e-79 < y0 < -3.2000000000000001e-138

   1. Initial program 17.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 51.0%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y1 around inf 59.2%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(-1 \cdot \left(a \cdot x\right) + k \cdot y4\right)\right)} \]
   4. Step-by-step derivation

      1. +-commutative 59.2%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 + -1 \cdot \left(a \cdot x\right)\right)}\right) \]

      2. mul-1-neg 59.2%

         \[\leadsto y1 \cdot \left(y2 \cdot \left(k \cdot y4 + \color{blue}{\left(-a \cdot x\right)}\right)\right) \]

      3. unsub-neg 59.2%

         \[\leadsto y1 \cdot \left(y2 \cdot \color{blue}{\left(k \cdot y4 - a \cdot x\right)}\right) \]

   5. Simplified 59.2%

      \[\leadsto \color{blue}{y1 \cdot \left(y2 \cdot \left(k \cdot y4 - a \cdot x\right)\right)} \]

   if -3.2000000000000001e-138 < y0 < -8.5000000000000005e-206

   1. Initial program 41.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 68.6%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y around inf 51.8%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 51.8%

         \[\leadsto \color{blue}{\left(x \cdot y\right) \cdot \left(a \cdot b - c \cdot i\right)} \]

      2. *-commutative 51.8%

         \[\leadsto \color{blue}{\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y\right)} \]

   5. Simplified 51.8%

      \[\leadsto \color{blue}{\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y\right)} \]

   if -8.5000000000000005e-206 < y0 < 1.01999999999999999e-287

   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. Taylor expanded in y1 around inf 32.8%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 32.8%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 32.8%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 32.8%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 32.8%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 32.8%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in a around inf 37.2%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 37.2%

         \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

      2. *-commutative 37.2%

         \[\leadsto -a \cdot \left(y1 \cdot \left(\color{blue}{y2 \cdot x} - y3 \cdot z\right)\right) \]

   7. Simplified 37.2%

      \[\leadsto \color{blue}{-a \cdot \left(y1 \cdot \left(y2 \cdot x - y3 \cdot z\right)\right)} \]

   if 1.01999999999999999e-287 < y0 < 2.2999999999999999e-254

   1. Initial program 36.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 50.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 64.8%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 56.0%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y - t \cdot z\right)} \]

      2. *-commutative 56.0%

         \[\leadsto \left(a \cdot b\right) \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right) \]

   5. Simplified 56.0%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(y \cdot x - t \cdot z\right)} \]

   if 2.2999999999999999e-254 < y0 < 5.7999999999999998e-58

   1. Initial program 60.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 42.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around -inf 47.8%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if 5.7999999999999998e-58 < y0 < 1.30000000000000001e237

   1. Initial program 19.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 44.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 41.3%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 41.3%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. +-commutative 41.3%

         \[\leadsto \left(y0 \cdot y2\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      3. mul-1-neg 41.3%

         \[\leadsto \left(y0 \cdot y2\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      4. unsub-neg 41.3%

         \[\leadsto \left(y0 \cdot y2\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      5. *-commutative 41.3%

         \[\leadsto \left(y0 \cdot y2\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      6. *-commutative 41.3%

         \[\leadsto \left(y0 \cdot y2\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 41.3%

      \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   if 1.30000000000000001e237 < y0 < 1.70000000000000012e291

   1. Initial program 27.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 27.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 73.3%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 73.3%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 73.3%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   if 1.70000000000000012e291 < y0

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 33.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in k around inf 100.0%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 100.0%

         \[\leadsto k \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot y1} - y0 \cdot y5\right)\right) \]

      2. *-commutative 100.0%

         \[\leadsto k \cdot \left(y2 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) \]

   5. Simplified 100.0%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right)} \]
3. Recombined 12 regimes into one program.

4. Final simplification 51.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y0 \leq -1.3 \cdot 10^{+176}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq -8 \cdot 10^{+47}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y0 \leq -1.2 \cdot 10^{-37}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y0 \leq -7.5 \cdot 10^{-79}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y0 \leq -3.2 \cdot 10^{-138}:\\ \;\;\;\;y1 \cdot \left(y2 \cdot \left(k \cdot y4 - x \cdot a\right)\right)\\ \mathbf{elif}\;y0 \leq -8.5 \cdot 10^{-206}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b - c \cdot i\right)\\ \mathbf{elif}\;y0 \leq 1.02 \cdot 10^{-287}:\\ \;\;\;\;a \cdot \left(y1 \cdot \left(z \cdot y3 - x \cdot y2\right)\right)\\ \mathbf{elif}\;y0 \leq 2.3 \cdot 10^{-254}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y0 \leq 5.8 \cdot 10^{-58}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y0 \leq 1.3 \cdot 10^{+237}:\\ \;\;\;\;\left(x \cdot c - k \cdot y5\right) \cdot \left(y0 \cdot y2\right)\\ \mathbf{elif}\;y0 \leq 1.7 \cdot 10^{+291}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \end{array} \]

Alternative 19: 29.7% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ t_2 := z \cdot \left(-y1\right)\\ t_3 := x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{if}\;y1 \leq -3.8 \cdot 10^{+243}:\\ \;\;\;\;k \cdot \left(i \cdot t_2\right)\\ \mathbf{elif}\;y1 \leq -1.95 \cdot 10^{+208}:\\ \;\;\;\;t_3\\ \mathbf{elif}\;y1 \leq -1.35 \cdot 10^{+188}:\\ \;\;\;\;i \cdot \left(k \cdot t_2\right)\\ \mathbf{elif}\;y1 \leq -0.055:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq -2.25 \cdot 10^{-119}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq -2.55 \cdot 10^{-209}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq -2.45 \cdot 10^{-231}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 2.8 \cdot 10^{-279}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 1.8 \cdot 10^{-173}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq 2.35 \cdot 10^{+232}:\\ \;\;\;\;t_3\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* c (* y0 (- (* x y2) (* z y3)))))
        (t_2 (* z (- y1)))
        (t_3 (* x (* y1 (- (* i j) (* a y2))))))
   (if (<= y1 -3.8e+243)
     (* k (* i t_2))
     (if (<= y1 -1.95e+208)
       t_3
       (if (<= y1 -1.35e+188)
         (* i (* k t_2))
         (if (<= y1 -0.055)
           (* x (* y2 (- (* c y0) (* a y1))))
           (if (<= y1 -2.25e-119)
             (* (* a b) (- (* x y) (* z t)))
             (if (<= y1 -2.55e-209)
               t_1
               (if (<= y1 -2.45e-231)
                 (* t (* y2 (- (* a y5) (* c y4))))
                 (if (<= y1 2.8e-279)
                   (* y0 (* k (- (* z b) (* y2 y5))))
                   (if (<= y1 1.8e-173)
                     t_1
                     (if (<= y1 2.35e+232)
                       t_3
                       (* y1 (* y4 (- (* k y2) (* j y3))))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double t_2 = z * -y1;
	double t_3 = x * (y1 * ((i * j) - (a * y2)));
	double tmp;
	if (y1 <= -3.8e+243) {
		tmp = k * (i * t_2);
	} else if (y1 <= -1.95e+208) {
		tmp = t_3;
	} else if (y1 <= -1.35e+188) {
		tmp = i * (k * t_2);
	} else if (y1 <= -0.055) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y1 <= -2.25e-119) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= -2.55e-209) {
		tmp = t_1;
	} else if (y1 <= -2.45e-231) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y1 <= 2.8e-279) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y1 <= 1.8e-173) {
		tmp = t_1;
	} else if (y1 <= 2.35e+232) {
		tmp = t_3;
	} else {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: tmp
    t_1 = c * (y0 * ((x * y2) - (z * y3)))
    t_2 = z * -y1
    t_3 = x * (y1 * ((i * j) - (a * y2)))
    if (y1 <= (-3.8d+243)) then
        tmp = k * (i * t_2)
    else if (y1 <= (-1.95d+208)) then
        tmp = t_3
    else if (y1 <= (-1.35d+188)) then
        tmp = i * (k * t_2)
    else if (y1 <= (-0.055d0)) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y1 <= (-2.25d-119)) then
        tmp = (a * b) * ((x * y) - (z * t))
    else if (y1 <= (-2.55d-209)) then
        tmp = t_1
    else if (y1 <= (-2.45d-231)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (y1 <= 2.8d-279) then
        tmp = y0 * (k * ((z * b) - (y2 * y5)))
    else if (y1 <= 1.8d-173) then
        tmp = t_1
    else if (y1 <= 2.35d+232) then
        tmp = t_3
    else
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = c * (y0 * ((x * y2) - (z * y3)));
	double t_2 = z * -y1;
	double t_3 = x * (y1 * ((i * j) - (a * y2)));
	double tmp;
	if (y1 <= -3.8e+243) {
		tmp = k * (i * t_2);
	} else if (y1 <= -1.95e+208) {
		tmp = t_3;
	} else if (y1 <= -1.35e+188) {
		tmp = i * (k * t_2);
	} else if (y1 <= -0.055) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y1 <= -2.25e-119) {
		tmp = (a * b) * ((x * y) - (z * t));
	} else if (y1 <= -2.55e-209) {
		tmp = t_1;
	} else if (y1 <= -2.45e-231) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (y1 <= 2.8e-279) {
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	} else if (y1 <= 1.8e-173) {
		tmp = t_1;
	} else if (y1 <= 2.35e+232) {
		tmp = t_3;
	} else {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = c * (y0 * ((x * y2) - (z * y3)))
	t_2 = z * -y1
	t_3 = x * (y1 * ((i * j) - (a * y2)))
	tmp = 0
	if y1 <= -3.8e+243:
		tmp = k * (i * t_2)
	elif y1 <= -1.95e+208:
		tmp = t_3
	elif y1 <= -1.35e+188:
		tmp = i * (k * t_2)
	elif y1 <= -0.055:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y1 <= -2.25e-119:
		tmp = (a * b) * ((x * y) - (z * t))
	elif y1 <= -2.55e-209:
		tmp = t_1
	elif y1 <= -2.45e-231:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif y1 <= 2.8e-279:
		tmp = y0 * (k * ((z * b) - (y2 * y5)))
	elif y1 <= 1.8e-173:
		tmp = t_1
	elif y1 <= 2.35e+232:
		tmp = t_3
	else:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))))
	t_2 = Float64(z * Float64(-y1))
	t_3 = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))))
	tmp = 0.0
	if (y1 <= -3.8e+243)
		tmp = Float64(k * Float64(i * t_2));
	elseif (y1 <= -1.95e+208)
		tmp = t_3;
	elseif (y1 <= -1.35e+188)
		tmp = Float64(i * Float64(k * t_2));
	elseif (y1 <= -0.055)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y1 <= -2.25e-119)
		tmp = Float64(Float64(a * b) * Float64(Float64(x * y) - Float64(z * t)));
	elseif (y1 <= -2.55e-209)
		tmp = t_1;
	elseif (y1 <= -2.45e-231)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (y1 <= 2.8e-279)
		tmp = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))));
	elseif (y1 <= 1.8e-173)
		tmp = t_1;
	elseif (y1 <= 2.35e+232)
		tmp = t_3;
	else
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = c * (y0 * ((x * y2) - (z * y3)));
	t_2 = z * -y1;
	t_3 = x * (y1 * ((i * j) - (a * y2)));
	tmp = 0.0;
	if (y1 <= -3.8e+243)
		tmp = k * (i * t_2);
	elseif (y1 <= -1.95e+208)
		tmp = t_3;
	elseif (y1 <= -1.35e+188)
		tmp = i * (k * t_2);
	elseif (y1 <= -0.055)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y1 <= -2.25e-119)
		tmp = (a * b) * ((x * y) - (z * t));
	elseif (y1 <= -2.55e-209)
		tmp = t_1;
	elseif (y1 <= -2.45e-231)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (y1 <= 2.8e-279)
		tmp = y0 * (k * ((z * b) - (y2 * y5)));
	elseif (y1 <= 1.8e-173)
		tmp = t_1;
	elseif (y1 <= 2.35e+232)
		tmp = t_3;
	else
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(z * (-y1)), $MachinePrecision]}, Block[{t$95$3 = N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -3.8e+243], N[(k * N[(i * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.95e+208], t$95$3, If[LessEqual[y1, -1.35e+188], N[(i * N[(k * t$95$2), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -0.055], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -2.25e-119], N[(N[(a * b), $MachinePrecision] * N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -2.55e-209], t$95$1, If[LessEqual[y1, -2.45e-231], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 2.8e-279], N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.8e-173], t$95$1, If[LessEqual[y1, 2.35e+232], t$95$3, N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]]]]

Derivation

1. Split input into 9 regimes

2. if y1 < -3.79999999999999998e243

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 42.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 44.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 44.3%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 37.4%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 37.4%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 37.4%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 57.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 57.8%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 57.8%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 57.8%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 57.8%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 57.8%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   11. Taylor expanded in k around 0 57.8%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   12. Step-by-step derivation

       1. mul-1-neg 57.8%

          \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

       2. *-commutative 57.8%

          \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

       3. distribute-rgt-neg-in 57.8%

          \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

       4. associate-*r* 64.5%

          \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   13. Simplified 64.5%

       \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   if -3.79999999999999998e243 < y1 < -1.95e208 or 1.79999999999999986e-173 < y1 < 2.34999999999999996e232

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 45.6%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 45.6%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 45.6%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 45.6%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 45.6%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 45.6%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in x around inf 46.4%

      \[\leadsto \color{blue}{-1 \cdot \left(x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 46.4%

         \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

      2. *-commutative 46.4%

         \[\leadsto -x \cdot \left(y1 \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right)\right) \]

      3. *-commutative 46.4%

         \[\leadsto -x \cdot \left(y1 \cdot \left(y2 \cdot a - \color{blue}{j \cdot i}\right)\right) \]

   7. Simplified 46.4%

      \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(y2 \cdot a - j \cdot i\right)\right)} \]

   if -1.95e208 < y1 < -1.35e188

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 20.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 20.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 20.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 42.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 42.2%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 42.9%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 42.9%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 42.9%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 81.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 81.3%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 81.3%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 81.3%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 81.3%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 81.3%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   if -1.35e188 < y1 < -0.0550000000000000003

   1. Initial program 32.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 41.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in x around inf 51.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 51.5%

         \[\leadsto x \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot c} - a \cdot y1\right)\right) \]

   5. Simplified 51.5%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]

   if -0.0550000000000000003 < y1 < -2.2500000000000001e-119

   1. Initial program 42.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 30.2%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 30.0%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 30.0%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y - t \cdot z\right)} \]

      2. *-commutative 30.0%

         \[\leadsto \left(a \cdot b\right) \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right) \]

   5. Simplified 30.0%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(y \cdot x - t \cdot z\right)} \]

   if -2.2500000000000001e-119 < y1 < -2.5499999999999998e-209 or 2.8000000000000001e-279 < y1 < 1.79999999999999986e-173

   1. Initial program 34.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 46.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 46.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 46.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 50.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -2.5499999999999998e-209 < y1 < -2.45000000000000002e-231

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 52.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 52.6%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -2.45000000000000002e-231 < y1 < 2.8000000000000001e-279

   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. Taylor expanded in y0 around inf 60.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 60.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 60.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 60.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 60.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 60.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 60.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 60.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 60.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in k around -inf 49.6%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 49.6%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 49.6%

         \[\leadsto y0 \cdot \left(k \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right)\right) \]

      3. unsub-neg 49.6%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)}\right) \]

      4. *-commutative 49.6%

         \[\leadsto y0 \cdot \left(k \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right)\right) \]

   7. Simplified 49.6%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)} \]

   if 2.34999999999999996e232 < y1

   1. Initial program 7.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 46.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in y4 around inf 69.7%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 69.7%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(k \cdot y2 - j \cdot y3\right) \cdot y4\right)} \]

   7. Simplified 69.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(k \cdot y2 - j \cdot y3\right) \cdot y4\right)} \]
3. Recombined 9 regimes into one program.

4. Final simplification 49.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -3.8 \cdot 10^{+243}:\\ \;\;\;\;k \cdot \left(i \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.95 \cdot 10^{+208}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -1.35 \cdot 10^{+188}:\\ \;\;\;\;i \cdot \left(k \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -0.055:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq -2.25 \cdot 10^{-119}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(x \cdot y - z \cdot t\right)\\ \mathbf{elif}\;y1 \leq -2.55 \cdot 10^{-209}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq -2.45 \cdot 10^{-231}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;y1 \leq 2.8 \cdot 10^{-279}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;y1 \leq 1.8 \cdot 10^{-173}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 2.35 \cdot 10^{+232}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \]

Alternative 20: 31.5% accurate, 3.0× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\\ t_2 := y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{if}\;a \leq -2.5 \cdot 10^{+225}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{+182}:\\ \;\;\;\;\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5\right)\\ \mathbf{elif}\;a \leq -1.6 \cdot 10^{-11}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + t_1\right)\\ \mathbf{elif}\;a \leq -1.92 \cdot 10^{-218}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;a \leq -5 \cdot 10^{-259}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -1.55 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-158}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{+22}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{+103}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(j \cdot y0 - y \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 1.3 \cdot 10^{+173}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;x \cdot t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y2 (- (* c y0) (* a y1))))
        (t_2 (* y0 (* k (- (* z b) (* y2 y5))))))
   (if (<= a -2.5e+225)
     (* x (* y1 (- (* i j) (* a y2))))
     (if (<= a -5.8e+182)
       (* (- (* t y2) (* y y3)) (* a y5))
       (if (<= a -1.6e-11)
         (* x (+ (* y (- (* a b) (* c i))) t_1))
         (if (<= a -1.92e-218)
           t_2
           (if (<= a -5e-259)
             (* i (* x (- (* j y1) (* y c))))
             (if (<= a -1.55e-304)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= a 1.1e-158)
                 (* b (* k (- (* z y0) (* y y4))))
                 (if (<= a 1.7e+22)
                   (* (* i y5) (- (* y k) (* t j)))
                   (if (<= a 1.15e+103)
                     (* y3 (* y5 (- (* j y0) (* y a))))
                     (if (<= a 1.3e+173) t_2 (* x 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 = y2 * ((c * y0) - (a * y1));
	double t_2 = y0 * (k * ((z * b) - (y2 * y5)));
	double tmp;
	if (a <= -2.5e+225) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (a <= -5.8e+182) {
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	} else if (a <= -1.6e-11) {
		tmp = x * ((y * ((a * b) - (c * i))) + t_1);
	} else if (a <= -1.92e-218) {
		tmp = t_2;
	} else if (a <= -5e-259) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -1.55e-304) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (a <= 1.1e-158) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (a <= 1.7e+22) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (a <= 1.15e+103) {
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	} else if (a <= 1.3e+173) {
		tmp = t_2;
	} else {
		tmp = x * 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 = y2 * ((c * y0) - (a * y1))
    t_2 = y0 * (k * ((z * b) - (y2 * y5)))
    if (a <= (-2.5d+225)) then
        tmp = x * (y1 * ((i * j) - (a * y2)))
    else if (a <= (-5.8d+182)) then
        tmp = ((t * y2) - (y * y3)) * (a * y5)
    else if (a <= (-1.6d-11)) then
        tmp = x * ((y * ((a * b) - (c * i))) + t_1)
    else if (a <= (-1.92d-218)) then
        tmp = t_2
    else if (a <= (-5d-259)) then
        tmp = i * (x * ((j * y1) - (y * c)))
    else if (a <= (-1.55d-304)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (a <= 1.1d-158) then
        tmp = b * (k * ((z * y0) - (y * y4)))
    else if (a <= 1.7d+22) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (a <= 1.15d+103) then
        tmp = y3 * (y5 * ((j * y0) - (y * a)))
    else if (a <= 1.3d+173) then
        tmp = t_2
    else
        tmp = x * 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 = y2 * ((c * y0) - (a * y1));
	double t_2 = y0 * (k * ((z * b) - (y2 * y5)));
	double tmp;
	if (a <= -2.5e+225) {
		tmp = x * (y1 * ((i * j) - (a * y2)));
	} else if (a <= -5.8e+182) {
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	} else if (a <= -1.6e-11) {
		tmp = x * ((y * ((a * b) - (c * i))) + t_1);
	} else if (a <= -1.92e-218) {
		tmp = t_2;
	} else if (a <= -5e-259) {
		tmp = i * (x * ((j * y1) - (y * c)));
	} else if (a <= -1.55e-304) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (a <= 1.1e-158) {
		tmp = b * (k * ((z * y0) - (y * y4)));
	} else if (a <= 1.7e+22) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (a <= 1.15e+103) {
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	} else if (a <= 1.3e+173) {
		tmp = t_2;
	} else {
		tmp = x * 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 = y2 * ((c * y0) - (a * y1))
	t_2 = y0 * (k * ((z * b) - (y2 * y5)))
	tmp = 0
	if a <= -2.5e+225:
		tmp = x * (y1 * ((i * j) - (a * y2)))
	elif a <= -5.8e+182:
		tmp = ((t * y2) - (y * y3)) * (a * y5)
	elif a <= -1.6e-11:
		tmp = x * ((y * ((a * b) - (c * i))) + t_1)
	elif a <= -1.92e-218:
		tmp = t_2
	elif a <= -5e-259:
		tmp = i * (x * ((j * y1) - (y * c)))
	elif a <= -1.55e-304:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif a <= 1.1e-158:
		tmp = b * (k * ((z * y0) - (y * y4)))
	elif a <= 1.7e+22:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif a <= 1.15e+103:
		tmp = y3 * (y5 * ((j * y0) - (y * a)))
	elif a <= 1.3e+173:
		tmp = t_2
	else:
		tmp = x * 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(y2 * Float64(Float64(c * y0) - Float64(a * y1)))
	t_2 = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))))
	tmp = 0.0
	if (a <= -2.5e+225)
		tmp = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))));
	elseif (a <= -5.8e+182)
		tmp = Float64(Float64(Float64(t * y2) - Float64(y * y3)) * Float64(a * y5));
	elseif (a <= -1.6e-11)
		tmp = Float64(x * Float64(Float64(y * Float64(Float64(a * b) - Float64(c * i))) + t_1));
	elseif (a <= -1.92e-218)
		tmp = t_2;
	elseif (a <= -5e-259)
		tmp = Float64(i * Float64(x * Float64(Float64(j * y1) - Float64(y * c))));
	elseif (a <= -1.55e-304)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (a <= 1.1e-158)
		tmp = Float64(b * Float64(k * Float64(Float64(z * y0) - Float64(y * y4))));
	elseif (a <= 1.7e+22)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (a <= 1.15e+103)
		tmp = Float64(y3 * Float64(y5 * Float64(Float64(j * y0) - Float64(y * a))));
	elseif (a <= 1.3e+173)
		tmp = t_2;
	else
		tmp = Float64(x * 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 = y2 * ((c * y0) - (a * y1));
	t_2 = y0 * (k * ((z * b) - (y2 * y5)));
	tmp = 0.0;
	if (a <= -2.5e+225)
		tmp = x * (y1 * ((i * j) - (a * y2)));
	elseif (a <= -5.8e+182)
		tmp = ((t * y2) - (y * y3)) * (a * y5);
	elseif (a <= -1.6e-11)
		tmp = x * ((y * ((a * b) - (c * i))) + t_1);
	elseif (a <= -1.92e-218)
		tmp = t_2;
	elseif (a <= -5e-259)
		tmp = i * (x * ((j * y1) - (y * c)));
	elseif (a <= -1.55e-304)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (a <= 1.1e-158)
		tmp = b * (k * ((z * y0) - (y * y4)));
	elseif (a <= 1.7e+22)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (a <= 1.15e+103)
		tmp = y3 * (y5 * ((j * y0) - (y * a)));
	elseif (a <= 1.3e+173)
		tmp = t_2;
	else
		tmp = x * 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[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[a, -2.5e+225], N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -5.8e+182], N[(N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision] * N[(a * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.6e-11], N[(x * N[(N[(y * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.92e-218], t$95$2, If[LessEqual[a, -5e-259], N[(i * N[(x * N[(N[(j * y1), $MachinePrecision] - N[(y * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, -1.55e-304], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.1e-158], N[(b * N[(k * N[(N[(z * y0), $MachinePrecision] - N[(y * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.7e+22], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.15e+103], N[(y3 * N[(y5 * N[(N[(j * y0), $MachinePrecision] - N[(y * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[a, 1.3e+173], t$95$2, N[(x * t$95$1), $MachinePrecision]]]]]]]]]]]]]

Derivation

1. Split input into 10 regimes

2. if a < -2.4999999999999999e225

   1. Initial program 10.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 23.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 23.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 23.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 23.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 23.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 23.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in x around inf 60.1%

      \[\leadsto \color{blue}{-1 \cdot \left(x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 60.1%

         \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

      2. *-commutative 60.1%

         \[\leadsto -x \cdot \left(y1 \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right)\right) \]

      3. *-commutative 60.1%

         \[\leadsto -x \cdot \left(y1 \cdot \left(y2 \cdot a - \color{blue}{j \cdot i}\right)\right) \]

   7. Simplified 60.1%

      \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(y2 \cdot a - j \cdot i\right)\right)} \]

   if -2.4999999999999999e225 < a < -5.7999999999999997e182

   1. Initial program 12.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 62.5%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in a around inf 76.5%

      \[\leadsto -1 \cdot \color{blue}{\left(a \cdot \left(y5 \cdot \left(y \cdot y3 - t \cdot y2\right)\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 88.3%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(a \cdot y5\right) \cdot \left(y \cdot y3 - t \cdot y2\right)\right)} \]

      2. *-commutative 88.3%

         \[\leadsto -1 \cdot \left(\color{blue}{\left(y5 \cdot a\right)} \cdot \left(y \cdot y3 - t \cdot y2\right)\right) \]

      3. *-commutative 88.3%

         \[\leadsto -1 \cdot \left(\left(y5 \cdot a\right) \cdot \left(\color{blue}{y3 \cdot y} - t \cdot y2\right)\right) \]

      4. *-commutative 88.3%

         \[\leadsto -1 \cdot \left(\left(y5 \cdot a\right) \cdot \left(y3 \cdot y - \color{blue}{y2 \cdot t}\right)\right) \]

   5. Simplified 88.3%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(y5 \cdot a\right) \cdot \left(y3 \cdot y - y2 \cdot t\right)\right)} \]

   if -5.7999999999999997e182 < a < -1.59999999999999997e-11

   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. Taylor expanded in x around inf 45.0%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in j around 0 49.6%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]

   if -1.59999999999999997e-11 < a < -1.92000000000000011e-218 or 1.15000000000000004e103 < a < 1.2999999999999999e173

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 49.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 49.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 49.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 49.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 49.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in k around -inf 48.1%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right)\right) \]

      3. unsub-neg 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)}\right) \]

      4. *-commutative 48.1%

         \[\leadsto y0 \cdot \left(k \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right)\right) \]

   7. Simplified 48.1%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)} \]

   if -1.92000000000000011e-218 < a < -4.99999999999999977e-259

   1. Initial program 55.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in i around -inf 66.6%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   3. Taylor expanded in x around inf 78.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(c \cdot y - j \cdot y1\right)\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 78.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(x \cdot \left(\color{blue}{y \cdot c} - j \cdot y1\right)\right)\right) \]

   5. Simplified 78.0%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(x \cdot \left(y \cdot c - j \cdot y1\right)\right)\right)} \]

   if -4.99999999999999977e-259 < a < -1.54999999999999992e-304

   1. Initial program 36.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 64.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 64.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 64.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 64.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 64.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 73.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -1.54999999999999992e-304 < a < 1.1000000000000001e-158

   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. Taylor expanded in b around inf 48.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in k around inf 48.9%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y4\right) - -1 \cdot \left(y0 \cdot z\right)\right)\right)} \]
   4. Step-by-step derivation

      1. distribute-lft-out-- 48.9%

         \[\leadsto b \cdot \left(k \cdot \color{blue}{\left(-1 \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)}\right) \]

   5. Simplified 48.9%

      \[\leadsto \color{blue}{b \cdot \left(k \cdot \left(-1 \cdot \left(y \cdot y4 - y0 \cdot z\right)\right)\right)} \]

   if 1.1000000000000001e-158 < a < 1.7e22

   1. Initial program 27.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 44.8%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in i around inf 47.4%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right)\right)} \]
   4. Step-by-step derivation

      1. cancel-sign-sub-inv 47.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right)\right) \]

      2. fma-udef 47.4%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)}\right)\right) \]

      3. associate-*r* 50.6%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)\right)} \]

      4. fma-udef 50.6%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right) \]

      5. cancel-sign-sub-inv 50.6%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t - k \cdot y\right)}\right) \]

   5. Simplified 50.6%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 1.7e22 < a < 1.15000000000000004e103

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 53.3%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in y3 around inf 53.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(y5 \cdot \left(-1 \cdot \left(j \cdot y0\right) - -1 \cdot \left(a \cdot y\right)\right)\right)\right)} \]
   4. Step-by-step derivation

      1. distribute-lft-out-- 53.5%

         \[\leadsto -1 \cdot \left(y3 \cdot \left(y5 \cdot \color{blue}{\left(-1 \cdot \left(j \cdot y0 - a \cdot y\right)\right)}\right)\right) \]

      2. *-commutative 53.5%

         \[\leadsto -1 \cdot \left(y3 \cdot \left(y5 \cdot \left(-1 \cdot \left(\color{blue}{y0 \cdot j} - a \cdot y\right)\right)\right)\right) \]

   5. Simplified 53.5%

      \[\leadsto -1 \cdot \color{blue}{\left(y3 \cdot \left(y5 \cdot \left(-1 \cdot \left(y0 \cdot j - a \cdot y\right)\right)\right)\right)} \]

   if 1.2999999999999999e173 < a

   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. Taylor expanded in y2 around inf 44.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in x around inf 64.3%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 64.3%

         \[\leadsto x \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot c} - a \cdot y1\right)\right) \]

   5. Simplified 64.3%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]
3. Recombined 10 regimes into one program.

4. Final simplification 55.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -2.5 \cdot 10^{+225}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;a \leq -5.8 \cdot 10^{+182}:\\ \;\;\;\;\left(t \cdot y2 - y \cdot y3\right) \cdot \left(a \cdot y5\right)\\ \mathbf{elif}\;a \leq -1.6 \cdot 10^{-11}:\\ \;\;\;\;x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;a \leq -1.92 \cdot 10^{-218}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;a \leq -5 \cdot 10^{-259}:\\ \;\;\;\;i \cdot \left(x \cdot \left(j \cdot y1 - y \cdot c\right)\right)\\ \mathbf{elif}\;a \leq -1.55 \cdot 10^{-304}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;a \leq 1.1 \cdot 10^{-158}:\\ \;\;\;\;b \cdot \left(k \cdot \left(z \cdot y0 - y \cdot y4\right)\right)\\ \mathbf{elif}\;a \leq 1.7 \cdot 10^{+22}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;a \leq 1.15 \cdot 10^{+103}:\\ \;\;\;\;y3 \cdot \left(y5 \cdot \left(j \cdot y0 - y \cdot a\right)\right)\\ \mathbf{elif}\;a \leq 1.3 \cdot 10^{+173}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \end{array} \]

Alternative 21: 30.8% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_2 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;b \leq -1.65 \cdot 10^{+169}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1.15 \cdot 10^{+46}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -1.7 \cdot 10^{+26}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -34:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{-294}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 5 \cdot 10^{-254}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 4.15 \cdot 10^{-199}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{+109}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y0 (- (* z k) (* x j)))))
        (t_2 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= b -1.65e+169)
     t_1
     (if (<= b -1.15e+46)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= b -1.7e+26)
         t_1
         (if (<= b -34.0)
           t_2
           (if (<= b 4.5e-294)
             (* c (* y0 (- (* x y2) (* z y3))))
             (if (<= b 5e-254)
               t_2
               (if (<= b 4.15e-199)
                 t_1
                 (if (<= b 7.5e+109)
                   (* t (* y2 (- (* a y5) (* c y4))))
                   (* b (* x (- (* y a) (* j y0))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y0 * ((z * k) - (x * j)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (b <= -1.65e+169) {
		tmp = t_1;
	} else if (b <= -1.15e+46) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (b <= -1.7e+26) {
		tmp = t_1;
	} else if (b <= -34.0) {
		tmp = t_2;
	} else if (b <= 4.5e-294) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= 5e-254) {
		tmp = t_2;
	} else if (b <= 4.15e-199) {
		tmp = t_1;
	} else if (b <= 7.5e+109) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (y0 * ((z * k) - (x * j)))
    t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (b <= (-1.65d+169)) then
        tmp = t_1
    else if (b <= (-1.15d+46)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (b <= (-1.7d+26)) then
        tmp = t_1
    else if (b <= (-34.0d0)) then
        tmp = t_2
    else if (b <= 4.5d-294) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (b <= 5d-254) then
        tmp = t_2
    else if (b <= 4.15d-199) then
        tmp = t_1
    else if (b <= 7.5d+109) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = b * (x * ((y * a) - (j * y0)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y0 * ((z * k) - (x * j)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (b <= -1.65e+169) {
		tmp = t_1;
	} else if (b <= -1.15e+46) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (b <= -1.7e+26) {
		tmp = t_1;
	} else if (b <= -34.0) {
		tmp = t_2;
	} else if (b <= 4.5e-294) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= 5e-254) {
		tmp = t_2;
	} else if (b <= 4.15e-199) {
		tmp = t_1;
	} else if (b <= 7.5e+109) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y0 * ((z * k) - (x * j)))
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if b <= -1.65e+169:
		tmp = t_1
	elif b <= -1.15e+46:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif b <= -1.7e+26:
		tmp = t_1
	elif b <= -34.0:
		tmp = t_2
	elif b <= 4.5e-294:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif b <= 5e-254:
		tmp = t_2
	elif b <= 4.15e-199:
		tmp = t_1
	elif b <= 7.5e+109:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = b * (x * ((y * a) - (j * y0)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	t_2 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (b <= -1.65e+169)
		tmp = t_1;
	elseif (b <= -1.15e+46)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -1.7e+26)
		tmp = t_1;
	elseif (b <= -34.0)
		tmp = t_2;
	elseif (b <= 4.5e-294)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (b <= 5e-254)
		tmp = t_2;
	elseif (b <= 4.15e-199)
		tmp = t_1;
	elseif (b <= 7.5e+109)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y0 * ((z * k) - (x * j)));
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (b <= -1.65e+169)
		tmp = t_1;
	elseif (b <= -1.15e+46)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (b <= -1.7e+26)
		tmp = t_1;
	elseif (b <= -34.0)
		tmp = t_2;
	elseif (b <= 4.5e-294)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (b <= 5e-254)
		tmp = t_2;
	elseif (b <= 4.15e-199)
		tmp = t_1;
	elseif (b <= 7.5e+109)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = b * (x * ((y * a) - (j * y0)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -1.65e+169], t$95$1, If[LessEqual[b, -1.15e+46], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -1.7e+26], t$95$1, If[LessEqual[b, -34.0], t$95$2, If[LessEqual[b, 4.5e-294], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 5e-254], t$95$2, If[LessEqual[b, 4.15e-199], t$95$1, If[LessEqual[b, 7.5e+109], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 6 regimes

2. if b < -1.6499999999999998e169 or -1.15e46 < b < -1.7000000000000001e26 or 5.0000000000000003e-254 < b < 4.1499999999999999e-199

   1. Initial program 27.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 57.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 54.2%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -1.6499999999999998e169 < b < -1.15e46

   1. Initial program 44.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 28.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y4 around inf 40.1%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -1.7000000000000001e26 < b < -34 or 4.49999999999999981e-294 < b < 5.0000000000000003e-254

   1. Initial program 15.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 45.3%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in k around inf 60.7%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 60.7%

         \[\leadsto k \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot y1} - y0 \cdot y5\right)\right) \]

      2. *-commutative 60.7%

         \[\leadsto k \cdot \left(y2 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) \]

   5. Simplified 60.7%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right)} \]

   if -34 < b < 4.49999999999999981e-294

   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. Taylor expanded in y0 around inf 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 39.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 4.1499999999999999e-199 < b < 7.50000000000000018e109

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 43.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 42.1%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 7.50000000000000018e109 < b

   1. Initial program 24.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 57.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 42.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 42.5%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 42.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]
3. Recombined 6 regimes into one program.

4. Final simplification 45.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -1.65 \cdot 10^{+169}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -1.15 \cdot 10^{+46}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -1.7 \cdot 10^{+26}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -34:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{-294}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 5 \cdot 10^{-254}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 4.15 \cdot 10^{-199}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq 7.5 \cdot 10^{+109}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \]

Alternative 22: 31.4% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ t_2 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;b \leq -2.8 \cdot 10^{+169}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -1 \cdot 10^{+40}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -4.3 \cdot 10^{+27}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -0.245:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 5 \cdot 10^{-294}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-262}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{-199}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{+110}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y0 (- (* z k) (* x j)))))
        (t_2 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= b -2.8e+169)
     t_1
     (if (<= b -1e+40)
       (* b (* y4 (- (* t j) (* y k))))
       (if (<= b -4.3e+27)
         t_1
         (if (<= b -0.245)
           t_2
           (if (<= b 5e-294)
             (* c (* y0 (- (* x y2) (* z y3))))
             (if (<= b 1.9e-262)
               t_2
               (if (<= b 4.5e-199)
                 (* x (* y2 (- (* c y0) (* a y1))))
                 (if (<= b 1.9e+110)
                   (* t (* y2 (- (* a y5) (* c y4))))
                   (* b (* x (- (* y a) (* j y0))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y0 * ((z * k) - (x * j)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (b <= -2.8e+169) {
		tmp = t_1;
	} else if (b <= -1e+40) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (b <= -4.3e+27) {
		tmp = t_1;
	} else if (b <= -0.245) {
		tmp = t_2;
	} else if (b <= 5e-294) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= 1.9e-262) {
		tmp = t_2;
	} else if (b <= 4.5e-199) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (b <= 1.9e+110) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = b * (y0 * ((z * k) - (x * j)))
    t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (b <= (-2.8d+169)) then
        tmp = t_1
    else if (b <= (-1d+40)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (b <= (-4.3d+27)) then
        tmp = t_1
    else if (b <= (-0.245d0)) then
        tmp = t_2
    else if (b <= 5d-294) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (b <= 1.9d-262) then
        tmp = t_2
    else if (b <= 4.5d-199) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (b <= 1.9d+110) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else
        tmp = b * (x * ((y * a) - (j * y0)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y0 * ((z * k) - (x * j)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (b <= -2.8e+169) {
		tmp = t_1;
	} else if (b <= -1e+40) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (b <= -4.3e+27) {
		tmp = t_1;
	} else if (b <= -0.245) {
		tmp = t_2;
	} else if (b <= 5e-294) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= 1.9e-262) {
		tmp = t_2;
	} else if (b <= 4.5e-199) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (b <= 1.9e+110) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y0 * ((z * k) - (x * j)))
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if b <= -2.8e+169:
		tmp = t_1
	elif b <= -1e+40:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif b <= -4.3e+27:
		tmp = t_1
	elif b <= -0.245:
		tmp = t_2
	elif b <= 5e-294:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif b <= 1.9e-262:
		tmp = t_2
	elif b <= 4.5e-199:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif b <= 1.9e+110:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	else:
		tmp = b * (x * ((y * a) - (j * y0)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	t_2 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (b <= -2.8e+169)
		tmp = t_1;
	elseif (b <= -1e+40)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (b <= -4.3e+27)
		tmp = t_1;
	elseif (b <= -0.245)
		tmp = t_2;
	elseif (b <= 5e-294)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (b <= 1.9e-262)
		tmp = t_2;
	elseif (b <= 4.5e-199)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (b <= 1.9e+110)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	else
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y0 * ((z * k) - (x * j)));
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (b <= -2.8e+169)
		tmp = t_1;
	elseif (b <= -1e+40)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (b <= -4.3e+27)
		tmp = t_1;
	elseif (b <= -0.245)
		tmp = t_2;
	elseif (b <= 5e-294)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (b <= 1.9e-262)
		tmp = t_2;
	elseif (b <= 4.5e-199)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (b <= 1.9e+110)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	else
		tmp = b * (x * ((y * a) - (j * y0)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -2.8e+169], t$95$1, If[LessEqual[b, -1e+40], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -4.3e+27], t$95$1, If[LessEqual[b, -0.245], t$95$2, If[LessEqual[b, 5e-294], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.9e-262], t$95$2, If[LessEqual[b, 4.5e-199], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.9e+110], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if b < -2.8000000000000002e169 or -1.00000000000000003e40 < b < -4.30000000000000008e27

   1. Initial program 21.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 69.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 57.5%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -2.8000000000000002e169 < b < -1.00000000000000003e40

   1. Initial program 44.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 28.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y4 around inf 40.1%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -4.30000000000000008e27 < b < -0.245 or 5.0000000000000003e-294 < b < 1.9000000000000001e-262

   1. Initial program 17.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 47.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in k around inf 65.5%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 65.5%

         \[\leadsto k \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot y1} - y0 \cdot y5\right)\right) \]

      2. *-commutative 65.5%

         \[\leadsto k \cdot \left(y2 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) \]

   5. Simplified 65.5%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right)} \]

   if -0.245 < b < 5.0000000000000003e-294

   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. Taylor expanded in y0 around inf 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.1%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 46.1%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 46.1%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 39.5%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.9000000000000001e-262 < b < 4.49999999999999998e-199

   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. Taylor expanded in y2 around inf 40.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in x around inf 40.9%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 40.9%

         \[\leadsto x \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot c} - a \cdot y1\right)\right) \]

   5. Simplified 40.9%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]

   if 4.49999999999999998e-199 < b < 1.89999999999999994e110

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 43.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 42.1%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 1.89999999999999994e110 < b

   1. Initial program 24.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 57.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 42.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 42.5%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 42.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 45.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2.8 \cdot 10^{+169}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -1 \cdot 10^{+40}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;b \leq -4.3 \cdot 10^{+27}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -0.245:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 5 \cdot 10^{-294}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{-262}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 4.5 \cdot 10^{-199}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 1.9 \cdot 10^{+110}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \]

Alternative 23: 30.6% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ t_2 := k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{if}\;b \leq -7 \cdot 10^{+92}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq 3.8 \cdot 10^{-294}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-262}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 6 \cdot 10^{-199}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 2.45 \cdot 10^{+89}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{+143}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;b \leq 1.22 \cdot 10^{+151}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 3.4 \cdot 10^{+277}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y0 (* k (- (* z b) (* y2 y5)))))
        (t_2 (* k (* y2 (- (* y1 y4) (* y0 y5))))))
   (if (<= b -7e+92)
     t_1
     (if (<= b 3.8e-294)
       (* c (* y0 (- (* x y2) (* z y3))))
       (if (<= b 1.25e-262)
         t_2
         (if (<= b 6e-199)
           (* x (* y2 (- (* c y0) (* a y1))))
           (if (<= b 2.45e+89)
             (* t (* y2 (- (* a y5) (* c y4))))
             (if (<= b 3.6e+143)
               t_2
               (if (<= b 1.22e+151)
                 (* y0 (* y5 (* j y3)))
                 (if (<= b 3.4e+277)
                   t_1
                   (* b (* x (- (* y a) (* j y0))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (k * ((z * b) - (y2 * y5)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (b <= -7e+92) {
		tmp = t_1;
	} else if (b <= 3.8e-294) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= 1.25e-262) {
		tmp = t_2;
	} else if (b <= 6e-199) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (b <= 2.45e+89) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (b <= 3.6e+143) {
		tmp = t_2;
	} else if (b <= 1.22e+151) {
		tmp = y0 * (y5 * (j * y3));
	} else if (b <= 3.4e+277) {
		tmp = t_1;
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = y0 * (k * ((z * b) - (y2 * y5)))
    t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
    if (b <= (-7d+92)) then
        tmp = t_1
    else if (b <= 3.8d-294) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (b <= 1.25d-262) then
        tmp = t_2
    else if (b <= 6d-199) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (b <= 2.45d+89) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (b <= 3.6d+143) then
        tmp = t_2
    else if (b <= 1.22d+151) then
        tmp = y0 * (y5 * (j * y3))
    else if (b <= 3.4d+277) then
        tmp = t_1
    else
        tmp = b * (x * ((y * a) - (j * y0)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (k * ((z * b) - (y2 * y5)));
	double t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	double tmp;
	if (b <= -7e+92) {
		tmp = t_1;
	} else if (b <= 3.8e-294) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= 1.25e-262) {
		tmp = t_2;
	} else if (b <= 6e-199) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (b <= 2.45e+89) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (b <= 3.6e+143) {
		tmp = t_2;
	} else if (b <= 1.22e+151) {
		tmp = y0 * (y5 * (j * y3));
	} else if (b <= 3.4e+277) {
		tmp = t_1;
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * (k * ((z * b) - (y2 * y5)))
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)))
	tmp = 0
	if b <= -7e+92:
		tmp = t_1
	elif b <= 3.8e-294:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif b <= 1.25e-262:
		tmp = t_2
	elif b <= 6e-199:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif b <= 2.45e+89:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif b <= 3.6e+143:
		tmp = t_2
	elif b <= 1.22e+151:
		tmp = y0 * (y5 * (j * y3))
	elif b <= 3.4e+277:
		tmp = t_1
	else:
		tmp = b * (x * ((y * a) - (j * y0)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))))
	t_2 = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))))
	tmp = 0.0
	if (b <= -7e+92)
		tmp = t_1;
	elseif (b <= 3.8e-294)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (b <= 1.25e-262)
		tmp = t_2;
	elseif (b <= 6e-199)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (b <= 2.45e+89)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (b <= 3.6e+143)
		tmp = t_2;
	elseif (b <= 1.22e+151)
		tmp = Float64(y0 * Float64(y5 * Float64(j * y3)));
	elseif (b <= 3.4e+277)
		tmp = t_1;
	else
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * (k * ((z * b) - (y2 * y5)));
	t_2 = k * (y2 * ((y1 * y4) - (y0 * y5)));
	tmp = 0.0;
	if (b <= -7e+92)
		tmp = t_1;
	elseif (b <= 3.8e-294)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (b <= 1.25e-262)
		tmp = t_2;
	elseif (b <= 6e-199)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (b <= 2.45e+89)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (b <= 3.6e+143)
		tmp = t_2;
	elseif (b <= 1.22e+151)
		tmp = y0 * (y5 * (j * y3));
	elseif (b <= 3.4e+277)
		tmp = t_1;
	else
		tmp = b * (x * ((y * a) - (j * y0)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -7e+92], t$95$1, If[LessEqual[b, 3.8e-294], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 1.25e-262], t$95$2, If[LessEqual[b, 6e-199], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2.45e+89], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.6e+143], t$95$2, If[LessEqual[b, 1.22e+151], N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.4e+277], t$95$1, N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if b < -6.99999999999999972e92 or 1.22000000000000005e151 < b < 3.4000000000000001e277

   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. Taylor expanded in y0 around inf 46.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 46.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 46.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 46.2%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 46.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 46.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 46.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 46.2%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 46.2%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in k around -inf 48.3%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 48.3%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 48.3%

         \[\leadsto y0 \cdot \left(k \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right)\right) \]

      3. unsub-neg 48.3%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)}\right) \]

      4. *-commutative 48.3%

         \[\leadsto y0 \cdot \left(k \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right)\right) \]

   7. Simplified 48.3%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)} \]

   if -6.99999999999999972e92 < b < 3.8e-294

   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. Taylor expanded in y0 around inf 48.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 48.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 48.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 48.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 48.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 48.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 48.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 48.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 48.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 38.6%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 3.8e-294 < b < 1.24999999999999998e-262 or 2.44999999999999998e89 < b < 3.5999999999999999e143

   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. Taylor expanded in y2 around inf 48.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in k around inf 52.9%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 52.9%

         \[\leadsto k \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot y1} - y0 \cdot y5\right)\right) \]

      2. *-commutative 52.9%

         \[\leadsto k \cdot \left(y2 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) \]

   5. Simplified 52.9%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right)} \]

   if 1.24999999999999998e-262 < b < 5.99999999999999966e-199

   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. Taylor expanded in y2 around inf 40.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in x around inf 40.9%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 40.9%

         \[\leadsto x \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot c} - a \cdot y1\right)\right) \]

   5. Simplified 40.9%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]

   if 5.99999999999999966e-199 < b < 2.44999999999999998e89

   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. Taylor expanded in y2 around inf 40.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 45.9%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 3.5999999999999999e143 < b < 1.22000000000000005e151

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 100.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 100.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 100.0%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 100.0%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 51.5%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 100.0%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(j \cdot y3\right) \cdot y5\right)} \]

      2. *-commutative 100.0%

         \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3\right)\right)} \]

   10. Simplified 100.0%

       \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3\right)\right)} \]

   if 3.4000000000000001e277 < b

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 80.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 80.9%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 80.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 45.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -7 \cdot 10^{+92}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 3.8 \cdot 10^{-294}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 1.25 \cdot 10^{-262}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 6 \cdot 10^{-199}:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;b \leq 2.45 \cdot 10^{+89}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 3.6 \cdot 10^{+143}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 1.22 \cdot 10^{+151}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 3.4 \cdot 10^{+277}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \]

Alternative 24: 30.0% accurate, 3.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{if}\;b \leq -8.6 \cdot 10^{+164}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;b \leq -5 \cdot 10^{+36}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -5.6 \cdot 10^{+27}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -3.8 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 9.2 \cdot 10^{+89}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 7.3 \cdot 10^{+142}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2 \cdot 10^{+149}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 3.4 \cdot 10^{+276}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* y0 (* k (- (* z b) (* y2 y5))))))
   (if (<= b -8.6e+164)
     t_1
     (if (<= b -5e+36)
       (* y0 (* y5 (- (* j y3) (* k y2))))
       (if (<= b -5.6e+27)
         (* b (* y0 (- (* z k) (* x j))))
         (if (<= b -3.8e-305)
           (* c (* y0 (- (* x y2) (* z y3))))
           (if (<= b 9.2e+89)
             (* t (* y2 (- (* a y5) (* c y4))))
             (if (<= b 7.3e+142)
               (* k (* y2 (- (* y1 y4) (* y0 y5))))
               (if (<= b 2e+149)
                 (* y0 (* y5 (* j y3)))
                 (if (<= b 3.4e+276)
                   t_1
                   (* b (* x (- (* y a) (* j y0))))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (k * ((z * b) - (y2 * y5)));
	double tmp;
	if (b <= -8.6e+164) {
		tmp = t_1;
	} else if (b <= -5e+36) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (b <= -5.6e+27) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (b <= -3.8e-305) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= 9.2e+89) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (b <= 7.3e+142) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (b <= 2e+149) {
		tmp = y0 * (y5 * (j * y3));
	} else if (b <= 3.4e+276) {
		tmp = t_1;
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = y0 * (k * ((z * b) - (y2 * y5)))
    if (b <= (-8.6d+164)) then
        tmp = t_1
    else if (b <= (-5d+36)) then
        tmp = y0 * (y5 * ((j * y3) - (k * y2)))
    else if (b <= (-5.6d+27)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (b <= (-3.8d-305)) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (b <= 9.2d+89) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (b <= 7.3d+142) then
        tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
    else if (b <= 2d+149) then
        tmp = y0 * (y5 * (j * y3))
    else if (b <= 3.4d+276) then
        tmp = t_1
    else
        tmp = b * (x * ((y * a) - (j * y0)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = y0 * (k * ((z * b) - (y2 * y5)));
	double tmp;
	if (b <= -8.6e+164) {
		tmp = t_1;
	} else if (b <= -5e+36) {
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	} else if (b <= -5.6e+27) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (b <= -3.8e-305) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (b <= 9.2e+89) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (b <= 7.3e+142) {
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	} else if (b <= 2e+149) {
		tmp = y0 * (y5 * (j * y3));
	} else if (b <= 3.4e+276) {
		tmp = t_1;
	} else {
		tmp = b * (x * ((y * a) - (j * y0)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = y0 * (k * ((z * b) - (y2 * y5)))
	tmp = 0
	if b <= -8.6e+164:
		tmp = t_1
	elif b <= -5e+36:
		tmp = y0 * (y5 * ((j * y3) - (k * y2)))
	elif b <= -5.6e+27:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif b <= -3.8e-305:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif b <= 9.2e+89:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif b <= 7.3e+142:
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)))
	elif b <= 2e+149:
		tmp = y0 * (y5 * (j * y3))
	elif b <= 3.4e+276:
		tmp = t_1
	else:
		tmp = b * (x * ((y * a) - (j * y0)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(y0 * Float64(k * Float64(Float64(z * b) - Float64(y2 * y5))))
	tmp = 0.0
	if (b <= -8.6e+164)
		tmp = t_1;
	elseif (b <= -5e+36)
		tmp = Float64(y0 * Float64(y5 * Float64(Float64(j * y3) - Float64(k * y2))));
	elseif (b <= -5.6e+27)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (b <= -3.8e-305)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (b <= 9.2e+89)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (b <= 7.3e+142)
		tmp = Float64(k * Float64(y2 * Float64(Float64(y1 * y4) - Float64(y0 * y5))));
	elseif (b <= 2e+149)
		tmp = Float64(y0 * Float64(y5 * Float64(j * y3)));
	elseif (b <= 3.4e+276)
		tmp = t_1;
	else
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = y0 * (k * ((z * b) - (y2 * y5)));
	tmp = 0.0;
	if (b <= -8.6e+164)
		tmp = t_1;
	elseif (b <= -5e+36)
		tmp = y0 * (y5 * ((j * y3) - (k * y2)));
	elseif (b <= -5.6e+27)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (b <= -3.8e-305)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (b <= 9.2e+89)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (b <= 7.3e+142)
		tmp = k * (y2 * ((y1 * y4) - (y0 * y5)));
	elseif (b <= 2e+149)
		tmp = y0 * (y5 * (j * y3));
	elseif (b <= 3.4e+276)
		tmp = t_1;
	else
		tmp = b * (x * ((y * a) - (j * y0)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(y0 * N[(k * N[(N[(z * b), $MachinePrecision] - N[(y2 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[b, -8.6e+164], t$95$1, If[LessEqual[b, -5e+36], N[(y0 * N[(y5 * N[(N[(j * y3), $MachinePrecision] - N[(k * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -5.6e+27], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, -3.8e-305], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 9.2e+89], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 7.3e+142], N[(k * N[(y2 * N[(N[(y1 * y4), $MachinePrecision] - N[(y0 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 2e+149], N[(y0 * N[(y5 * N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[b, 3.4e+276], t$95$1, N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 8 regimes

2. if b < -8.6e164 or 2.0000000000000001e149 < b < 3.39999999999999983e276

   1. Initial program 26.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 51.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 51.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 51.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 51.6%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 51.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 51.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 51.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 51.6%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 51.6%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in k around -inf 51.8%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(-1 \cdot \left(y2 \cdot y5\right) + b \cdot z\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 51.8%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z + -1 \cdot \left(y2 \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 51.8%

         \[\leadsto y0 \cdot \left(k \cdot \left(b \cdot z + \color{blue}{\left(-y2 \cdot y5\right)}\right)\right) \]

      3. unsub-neg 51.8%

         \[\leadsto y0 \cdot \left(k \cdot \color{blue}{\left(b \cdot z - y2 \cdot y5\right)}\right) \]

      4. *-commutative 51.8%

         \[\leadsto y0 \cdot \left(k \cdot \left(\color{blue}{z \cdot b} - y2 \cdot y5\right)\right) \]

   7. Simplified 51.8%

      \[\leadsto y0 \cdot \color{blue}{\left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)} \]

   if -8.6e164 < b < -4.99999999999999977e36

   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. Taylor expanded in y0 around inf 41.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 41.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 41.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 41.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 41.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 41.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 41.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 41.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 41.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in y5 around inf 47.1%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 47.1%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(\color{blue}{y3 \cdot j} - k \cdot y2\right)\right) \]

      2. *-commutative 47.1%

         \[\leadsto y0 \cdot \left(y5 \cdot \left(y3 \cdot j - \color{blue}{y2 \cdot k}\right)\right) \]

   7. Simplified 47.1%

      \[\leadsto \color{blue}{y0 \cdot \left(y5 \cdot \left(y3 \cdot j - y2 \cdot k\right)\right)} \]

   if -4.99999999999999977e36 < b < -5.5999999999999999e27

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 40.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 60.9%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -5.5999999999999999e27 < b < -3.8e-305

   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. Taylor expanded in y0 around inf 44.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 44.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 44.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 44.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 44.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 44.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 44.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 44.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 44.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 40.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if -3.8e-305 < b < 9.1999999999999996e89

   1. Initial program 32.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 41.5%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 41.6%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if 9.1999999999999996e89 < b < 7.29999999999999987e142

   1. Initial program 26.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 53.2%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in k around inf 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 43.6%

         \[\leadsto k \cdot \left(y2 \cdot \left(\color{blue}{y4 \cdot y1} - y0 \cdot y5\right)\right) \]

      2. *-commutative 43.6%

         \[\leadsto k \cdot \left(y2 \cdot \left(y4 \cdot y1 - \color{blue}{y5 \cdot y0}\right)\right) \]

   5. Simplified 43.6%

      \[\leadsto \color{blue}{k \cdot \left(y2 \cdot \left(y4 \cdot y1 - y5 \cdot y0\right)\right)} \]

   if 7.29999999999999987e142 < b < 2.0000000000000001e149

   1. Initial program 0.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 100.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 100.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 100.0%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 100.0%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 100.0%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 100.0%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 100.0%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 100.0%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 51.5%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 100.0%

         \[\leadsto y0 \cdot \color{blue}{\left(\left(j \cdot y3\right) \cdot y5\right)} \]

      2. *-commutative 100.0%

         \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3\right)\right)} \]

   10. Simplified 100.0%

       \[\leadsto y0 \cdot \color{blue}{\left(y5 \cdot \left(j \cdot y3\right)\right)} \]

   if 3.39999999999999983e276 < b

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 100.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 80.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 80.9%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 80.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]
3. Recombined 8 regimes into one program.

4. Final simplification 45.9%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -8.6 \cdot 10^{+164}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq -5 \cdot 10^{+36}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3 - k \cdot y2\right)\right)\\ \mathbf{elif}\;b \leq -5.6 \cdot 10^{+27}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;b \leq -3.8 \cdot 10^{-305}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 9.2 \cdot 10^{+89}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;b \leq 7.3 \cdot 10^{+142}:\\ \;\;\;\;k \cdot \left(y2 \cdot \left(y1 \cdot y4 - y0 \cdot y5\right)\right)\\ \mathbf{elif}\;b \leq 2 \cdot 10^{+149}:\\ \;\;\;\;y0 \cdot \left(y5 \cdot \left(j \cdot y3\right)\right)\\ \mathbf{elif}\;b \leq 3.4 \cdot 10^{+276}:\\ \;\;\;\;y0 \cdot \left(k \cdot \left(z \cdot b - y2 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \end{array} \]

Alternative 25: 25.0% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -1.08 \cdot 10^{+164}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y \leq -2.8 \cdot 10^{-156}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-284}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 4.4 \cdot 10^{-160}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 3.3 \cdot 10^{-20}:\\ \;\;\;\;a \cdot \left(b \cdot \left(z \cdot \left(-t\right)\right)\right)\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{+81} \lor \neg \left(y \leq 4 \cdot 10^{+203}\right):\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -1.08e+164)
   (* b (* (* x y) a))
   (if (<= y -2.8e-156)
     (* i (* j (* x y1)))
     (if (<= y -1.05e-284)
       (* y0 (* j (* y3 y5)))
       (if (<= y 4.4e-160)
         (* b (* y0 (- (* z k) (* x j))))
         (if (<= y 3.3e-20)
           (* a (* b (* z (- t))))
           (if (or (<= y 3.6e+81) (not (<= y 4e+203)))
             (* b (* x (- (* y a) (* j y0))))
             (* i (* k (* y y5))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -1.08e+164) {
		tmp = b * ((x * y) * a);
	} else if (y <= -2.8e-156) {
		tmp = i * (j * (x * y1));
	} else if (y <= -1.05e-284) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y <= 4.4e-160) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 3.3e-20) {
		tmp = a * (b * (z * -t));
	} else if ((y <= 3.6e+81) || !(y <= 4e+203)) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = i * (k * (y * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-1.08d+164)) then
        tmp = b * ((x * y) * a)
    else if (y <= (-2.8d-156)) then
        tmp = i * (j * (x * y1))
    else if (y <= (-1.05d-284)) then
        tmp = y0 * (j * (y3 * y5))
    else if (y <= 4.4d-160) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y <= 3.3d-20) then
        tmp = a * (b * (z * -t))
    else if ((y <= 3.6d+81) .or. (.not. (y <= 4d+203))) then
        tmp = b * (x * ((y * a) - (j * y0)))
    else
        tmp = i * (k * (y * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -1.08e+164) {
		tmp = b * ((x * y) * a);
	} else if (y <= -2.8e-156) {
		tmp = i * (j * (x * y1));
	} else if (y <= -1.05e-284) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y <= 4.4e-160) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y <= 3.3e-20) {
		tmp = a * (b * (z * -t));
	} else if ((y <= 3.6e+81) || !(y <= 4e+203)) {
		tmp = b * (x * ((y * a) - (j * y0)));
	} else {
		tmp = i * (k * (y * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -1.08e+164:
		tmp = b * ((x * y) * a)
	elif y <= -2.8e-156:
		tmp = i * (j * (x * y1))
	elif y <= -1.05e-284:
		tmp = y0 * (j * (y3 * y5))
	elif y <= 4.4e-160:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y <= 3.3e-20:
		tmp = a * (b * (z * -t))
	elif (y <= 3.6e+81) or not (y <= 4e+203):
		tmp = b * (x * ((y * a) - (j * y0)))
	else:
		tmp = i * (k * (y * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -1.08e+164)
		tmp = Float64(b * Float64(Float64(x * y) * a));
	elseif (y <= -2.8e-156)
		tmp = Float64(i * Float64(j * Float64(x * y1)));
	elseif (y <= -1.05e-284)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (y <= 4.4e-160)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y <= 3.3e-20)
		tmp = Float64(a * Float64(b * Float64(z * Float64(-t))));
	elseif ((y <= 3.6e+81) || !(y <= 4e+203))
		tmp = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))));
	else
		tmp = Float64(i * Float64(k * Float64(y * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -1.08e+164)
		tmp = b * ((x * y) * a);
	elseif (y <= -2.8e-156)
		tmp = i * (j * (x * y1));
	elseif (y <= -1.05e-284)
		tmp = y0 * (j * (y3 * y5));
	elseif (y <= 4.4e-160)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y <= 3.3e-20)
		tmp = a * (b * (z * -t));
	elseif ((y <= 3.6e+81) || ~((y <= 4e+203)))
		tmp = b * (x * ((y * a) - (j * y0)));
	else
		tmp = i * (k * (y * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -1.08e+164], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -2.8e-156], N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.05e-284], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 4.4e-160], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 3.3e-20], N[(a * N[(b * N[(z * (-t)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Or[LessEqual[y, 3.6e+81], N[Not[LessEqual[y, 4e+203]], $MachinePrecision]], N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y < -1.08e164

   1. Initial program 15.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 46.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 46.5%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 46.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 50.5%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y\right)\right)} \]

   if -1.08e164 < y < -2.8000000000000002e-156

   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. Taylor expanded in y1 around inf 35.3%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 35.3%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 35.3%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 35.3%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 35.3%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 35.3%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 29.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 29.3%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 26.1%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 26.1%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 26.1%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around 0 26.1%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]

   if -2.8000000000000002e-156 < y < -1.04999999999999996e-284

   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. Taylor expanded in y0 around inf 56.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 56.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 56.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 56.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 56.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 56.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 56.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 56.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 56.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 48.2%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 48.2%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 48.2%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 48.2%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 48.2%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 48.2%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 41.6%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   if -1.04999999999999996e-284 < y < 4.4e-160

   1. Initial program 42.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 43.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 38.2%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if 4.4e-160 < y < 3.3e-20

   1. Initial program 28.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 35.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 32.5%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 26.3%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y - t \cdot z\right)} \]

      2. *-commutative 26.3%

         \[\leadsto \left(a \cdot b\right) \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right) \]

   5. Simplified 26.3%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(y \cdot x - t \cdot z\right)} \]

   6. Taylor expanded in y around 0 27.3%

      \[\leadsto \color{blue}{-1 \cdot \left(a \cdot \left(b \cdot \left(t \cdot z\right)\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 27.3%

         \[\leadsto \color{blue}{-a \cdot \left(b \cdot \left(t \cdot z\right)\right)} \]

      2. *-commutative 27.3%

         \[\leadsto -\color{blue}{\left(b \cdot \left(t \cdot z\right)\right) \cdot a} \]

      3. distribute-rgt-neg-in 27.3%

         \[\leadsto \color{blue}{\left(b \cdot \left(t \cdot z\right)\right) \cdot \left(-a\right)} \]

      4. *-commutative 27.3%

         \[\leadsto \left(b \cdot \color{blue}{\left(z \cdot t\right)}\right) \cdot \left(-a\right) \]

   8. Simplified 27.3%

      \[\leadsto \color{blue}{\left(b \cdot \left(z \cdot t\right)\right) \cdot \left(-a\right)} \]

   if 3.3e-20 < y < 3.60000000000000005e81 or 4e203 < y

   1. Initial program 24.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 39.5%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 51.7%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 51.7%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 51.7%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   if 3.60000000000000005e81 < y < 4e203

   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. Taylor expanded in i around -inf 44.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   3. Taylor expanded in y around inf 48.8%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]

   4. Taylor expanded in k around inf 41.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y \cdot y5\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. associate-*r* 41.8%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(\left(-1 \cdot k\right) \cdot \left(y \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 41.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(\color{blue}{\left(-k\right)} \cdot \left(y \cdot y5\right)\right)\right) \]

      3. *-commutative 41.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(\left(-k\right) \cdot \color{blue}{\left(y5 \cdot y\right)}\right)\right) \]

   6. Simplified 41.8%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(\left(-k\right) \cdot \left(y5 \cdot y\right)\right)}\right) \]
3. Recombined 7 regimes into one program.

4. Final simplification 38.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.08 \cdot 10^{+164}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y \leq -2.8 \cdot 10^{-156}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-284}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 4.4 \cdot 10^{-160}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y \leq 3.3 \cdot 10^{-20}:\\ \;\;\;\;a \cdot \left(b \cdot \left(z \cdot \left(-t\right)\right)\right)\\ \mathbf{elif}\;y \leq 3.6 \cdot 10^{+81} \lor \neg \left(y \leq 4 \cdot 10^{+203}\right):\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \]

Alternative 26: 29.1% accurate, 3.7× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := z \cdot \left(-y1\right)\\ t_2 := x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{if}\;y1 \leq -1.45 \cdot 10^{+243}:\\ \;\;\;\;k \cdot \left(i \cdot t_1\right)\\ \mathbf{elif}\;y1 \leq -9.8 \cdot 10^{+207}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y1 \leq -1.8 \cdot 10^{+183}:\\ \;\;\;\;i \cdot \left(k \cdot t_1\right)\\ \mathbf{elif}\;y1 \leq -50000:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq -3.8 \cdot 10^{-119}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;y1 \leq 1.05 \cdot 10^{-173}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 1.25 \cdot 10^{+232}:\\ \;\;\;\;t_2\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* z (- y1))) (t_2 (* x (* y1 (- (* i j) (* a y2))))))
   (if (<= y1 -1.45e+243)
     (* k (* i t_1))
     (if (<= y1 -9.8e+207)
       t_2
       (if (<= y1 -1.8e+183)
         (* i (* k t_1))
         (if (<= y1 -50000.0)
           (* x (* y2 (- (* c y0) (* a y1))))
           (if (<= y1 -3.8e-119)
             (* (* i y5) (- (* y k) (* t j)))
             (if (<= y1 1.05e-173)
               (* c (* y0 (- (* x y2) (* z y3))))
               (if (<= y1 1.25e+232)
                 t_2
                 (* y1 (* y4 (- (* k y2) (* j y3)))))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * -y1;
	double t_2 = x * (y1 * ((i * j) - (a * y2)));
	double tmp;
	if (y1 <= -1.45e+243) {
		tmp = k * (i * t_1);
	} else if (y1 <= -9.8e+207) {
		tmp = t_2;
	} else if (y1 <= -1.8e+183) {
		tmp = i * (k * t_1);
	} else if (y1 <= -50000.0) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y1 <= -3.8e-119) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (y1 <= 1.05e-173) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y1 <= 1.25e+232) {
		tmp = t_2;
	} else {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = z * -y1
    t_2 = x * (y1 * ((i * j) - (a * y2)))
    if (y1 <= (-1.45d+243)) then
        tmp = k * (i * t_1)
    else if (y1 <= (-9.8d+207)) then
        tmp = t_2
    else if (y1 <= (-1.8d+183)) then
        tmp = i * (k * t_1)
    else if (y1 <= (-50000.0d0)) then
        tmp = x * (y2 * ((c * y0) - (a * y1)))
    else if (y1 <= (-3.8d-119)) then
        tmp = (i * y5) * ((y * k) - (t * j))
    else if (y1 <= 1.05d-173) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y1 <= 1.25d+232) then
        tmp = t_2
    else
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = z * -y1;
	double t_2 = x * (y1 * ((i * j) - (a * y2)));
	double tmp;
	if (y1 <= -1.45e+243) {
		tmp = k * (i * t_1);
	} else if (y1 <= -9.8e+207) {
		tmp = t_2;
	} else if (y1 <= -1.8e+183) {
		tmp = i * (k * t_1);
	} else if (y1 <= -50000.0) {
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	} else if (y1 <= -3.8e-119) {
		tmp = (i * y5) * ((y * k) - (t * j));
	} else if (y1 <= 1.05e-173) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y1 <= 1.25e+232) {
		tmp = t_2;
	} else {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = z * -y1
	t_2 = x * (y1 * ((i * j) - (a * y2)))
	tmp = 0
	if y1 <= -1.45e+243:
		tmp = k * (i * t_1)
	elif y1 <= -9.8e+207:
		tmp = t_2
	elif y1 <= -1.8e+183:
		tmp = i * (k * t_1)
	elif y1 <= -50000.0:
		tmp = x * (y2 * ((c * y0) - (a * y1)))
	elif y1 <= -3.8e-119:
		tmp = (i * y5) * ((y * k) - (t * j))
	elif y1 <= 1.05e-173:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y1 <= 1.25e+232:
		tmp = t_2
	else:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(z * Float64(-y1))
	t_2 = Float64(x * Float64(y1 * Float64(Float64(i * j) - Float64(a * y2))))
	tmp = 0.0
	if (y1 <= -1.45e+243)
		tmp = Float64(k * Float64(i * t_1));
	elseif (y1 <= -9.8e+207)
		tmp = t_2;
	elseif (y1 <= -1.8e+183)
		tmp = Float64(i * Float64(k * t_1));
	elseif (y1 <= -50000.0)
		tmp = Float64(x * Float64(y2 * Float64(Float64(c * y0) - Float64(a * y1))));
	elseif (y1 <= -3.8e-119)
		tmp = Float64(Float64(i * y5) * Float64(Float64(y * k) - Float64(t * j)));
	elseif (y1 <= 1.05e-173)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y1 <= 1.25e+232)
		tmp = t_2;
	else
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = z * -y1;
	t_2 = x * (y1 * ((i * j) - (a * y2)));
	tmp = 0.0;
	if (y1 <= -1.45e+243)
		tmp = k * (i * t_1);
	elseif (y1 <= -9.8e+207)
		tmp = t_2;
	elseif (y1 <= -1.8e+183)
		tmp = i * (k * t_1);
	elseif (y1 <= -50000.0)
		tmp = x * (y2 * ((c * y0) - (a * y1)));
	elseif (y1 <= -3.8e-119)
		tmp = (i * y5) * ((y * k) - (t * j));
	elseif (y1 <= 1.05e-173)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y1 <= 1.25e+232)
		tmp = t_2;
	else
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(z * (-y1)), $MachinePrecision]}, Block[{t$95$2 = N[(x * N[(y1 * N[(N[(i * j), $MachinePrecision] - N[(a * y2), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -1.45e+243], N[(k * N[(i * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -9.8e+207], t$95$2, If[LessEqual[y1, -1.8e+183], N[(i * N[(k * t$95$1), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -50000.0], N[(x * N[(y2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -3.8e-119], N[(N[(i * y5), $MachinePrecision] * N[(N[(y * k), $MachinePrecision] - N[(t * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.05e-173], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 1.25e+232], t$95$2, N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]]]]

Derivation

1. Split input into 7 regimes

2. if y1 < -1.45000000000000003e243

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 42.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 44.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 44.3%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 37.4%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 37.4%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 37.4%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 57.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 57.8%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 57.8%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 57.8%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 57.8%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 57.8%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   11. Taylor expanded in k around 0 57.8%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   12. Step-by-step derivation

       1. mul-1-neg 57.8%

          \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

       2. *-commutative 57.8%

          \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

       3. distribute-rgt-neg-in 57.8%

          \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

       4. associate-*r* 64.5%

          \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   13. Simplified 64.5%

       \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   if -1.45000000000000003e243 < y1 < -9.8000000000000001e207 or 1.05000000000000001e-173 < y1 < 1.24999999999999997e232

   1. Initial program 33.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 45.6%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 45.6%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 45.6%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 45.6%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 45.6%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 45.6%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in x around inf 46.4%

      \[\leadsto \color{blue}{-1 \cdot \left(x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 46.4%

         \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(a \cdot y2 - i \cdot j\right)\right)} \]

      2. *-commutative 46.4%

         \[\leadsto -x \cdot \left(y1 \cdot \left(\color{blue}{y2 \cdot a} - i \cdot j\right)\right) \]

      3. *-commutative 46.4%

         \[\leadsto -x \cdot \left(y1 \cdot \left(y2 \cdot a - \color{blue}{j \cdot i}\right)\right) \]

   7. Simplified 46.4%

      \[\leadsto \color{blue}{-x \cdot \left(y1 \cdot \left(y2 \cdot a - j \cdot i\right)\right)} \]

   if -9.8000000000000001e207 < y1 < -1.80000000000000012e183

   1. Initial program 20.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 20.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 20.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 20.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 20.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 42.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 42.2%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 42.9%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 42.9%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 42.9%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 81.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 81.3%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 81.3%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 81.3%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 81.3%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 81.3%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   if -1.80000000000000012e183 < y1 < -5e4

   1. Initial program 29.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 42.8%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in x around inf 53.6%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 53.6%

         \[\leadsto x \cdot \left(y2 \cdot \left(\color{blue}{y0 \cdot c} - a \cdot y1\right)\right) \]

   5. Simplified 53.6%

      \[\leadsto \color{blue}{x \cdot \left(y2 \cdot \left(y0 \cdot c - a \cdot y1\right)\right)} \]

   if -5e4 < y1 < -3.79999999999999975e-119

   1. Initial program 46.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 36.1%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in i around inf 31.9%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right)\right)} \]
   4. Step-by-step derivation

      1. cancel-sign-sub-inv 31.9%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right)\right) \]

      2. fma-udef 31.9%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)}\right)\right) \]

      3. associate-*r* 31.5%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)\right)} \]

      4. fma-udef 31.5%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right) \]

      5. cancel-sign-sub-inv 31.5%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t - k \cdot y\right)}\right) \]

   5. Simplified 31.5%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if -3.79999999999999975e-119 < y1 < 1.05000000000000001e-173

   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. Taylor expanded in y0 around inf 47.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 47.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 47.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 44.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.24999999999999997e232 < y1

   1. Initial program 7.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 46.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 46.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 46.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in y4 around inf 69.7%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 69.7%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(k \cdot y2 - j \cdot y3\right) \cdot y4\right)} \]

   7. Simplified 69.7%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(k \cdot y2 - j \cdot y3\right) \cdot y4\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 48.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -1.45 \cdot 10^{+243}:\\ \;\;\;\;k \cdot \left(i \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -9.8 \cdot 10^{+207}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{elif}\;y1 \leq -1.8 \cdot 10^{+183}:\\ \;\;\;\;i \cdot \left(k \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -50000:\\ \;\;\;\;x \cdot \left(y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right)\\ \mathbf{elif}\;y1 \leq -3.8 \cdot 10^{-119}:\\ \;\;\;\;\left(i \cdot y5\right) \cdot \left(y \cdot k - t \cdot j\right)\\ \mathbf{elif}\;y1 \leq 1.05 \cdot 10^{-173}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 1.25 \cdot 10^{+232}:\\ \;\;\;\;x \cdot \left(y1 \cdot \left(i \cdot j - a \cdot y2\right)\right)\\ \mathbf{else}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \end{array} \]

Alternative 27: 28.7% accurate, 4.1× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;t \leq -1.8 \cdot 10^{+151}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq -1.85 \cdot 10^{+42}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq -2.5 \cdot 10^{-149}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b - c \cdot i\right)\\ \mathbf{elif}\;t \leq 0.22:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 8.8 \cdot 10^{+89}:\\ \;\;\;\;\left(t \cdot b\right) \cdot \left(j \cdot y4 - z \cdot a\right)\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{+143}:\\ \;\;\;\;\left(x \cdot c - k \cdot y5\right) \cdot \left(y0 \cdot y2\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(t \cdot \left(-z\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= t -1.8e+151)
   (* t (* y2 (- (* a y5) (* c y4))))
   (if (<= t -1.85e+42)
     (* y1 (* y4 (- (* k y2) (* j y3))))
     (if (<= t -2.5e-149)
       (* (* x y) (- (* a b) (* c i)))
       (if (<= t 0.22)
         (* c (* y0 (- (* x y2) (* z y3))))
         (if (<= t 8.8e+89)
           (* (* t b) (- (* j y4) (* z a)))
           (if (<= t 1.4e+143)
             (* (- (* x c) (* k y5)) (* y0 y2))
             (* (* a b) (* t (- z))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (t <= -1.8e+151) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (t <= -1.85e+42) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (t <= -2.5e-149) {
		tmp = (x * y) * ((a * b) - (c * i));
	} else if (t <= 0.22) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (t <= 8.8e+89) {
		tmp = (t * b) * ((j * y4) - (z * a));
	} else if (t <= 1.4e+143) {
		tmp = ((x * c) - (k * y5)) * (y0 * y2);
	} else {
		tmp = (a * b) * (t * -z);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (t <= (-1.8d+151)) then
        tmp = t * (y2 * ((a * y5) - (c * y4)))
    else if (t <= (-1.85d+42)) then
        tmp = y1 * (y4 * ((k * y2) - (j * y3)))
    else if (t <= (-2.5d-149)) then
        tmp = (x * y) * ((a * b) - (c * i))
    else if (t <= 0.22d0) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (t <= 8.8d+89) then
        tmp = (t * b) * ((j * y4) - (z * a))
    else if (t <= 1.4d+143) then
        tmp = ((x * c) - (k * y5)) * (y0 * y2)
    else
        tmp = (a * b) * (t * -z)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (t <= -1.8e+151) {
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	} else if (t <= -1.85e+42) {
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	} else if (t <= -2.5e-149) {
		tmp = (x * y) * ((a * b) - (c * i));
	} else if (t <= 0.22) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (t <= 8.8e+89) {
		tmp = (t * b) * ((j * y4) - (z * a));
	} else if (t <= 1.4e+143) {
		tmp = ((x * c) - (k * y5)) * (y0 * y2);
	} else {
		tmp = (a * b) * (t * -z);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if t <= -1.8e+151:
		tmp = t * (y2 * ((a * y5) - (c * y4)))
	elif t <= -1.85e+42:
		tmp = y1 * (y4 * ((k * y2) - (j * y3)))
	elif t <= -2.5e-149:
		tmp = (x * y) * ((a * b) - (c * i))
	elif t <= 0.22:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif t <= 8.8e+89:
		tmp = (t * b) * ((j * y4) - (z * a))
	elif t <= 1.4e+143:
		tmp = ((x * c) - (k * y5)) * (y0 * y2)
	else:
		tmp = (a * b) * (t * -z)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (t <= -1.8e+151)
		tmp = Float64(t * Float64(y2 * Float64(Float64(a * y5) - Float64(c * y4))));
	elseif (t <= -1.85e+42)
		tmp = Float64(y1 * Float64(y4 * Float64(Float64(k * y2) - Float64(j * y3))));
	elseif (t <= -2.5e-149)
		tmp = Float64(Float64(x * y) * Float64(Float64(a * b) - Float64(c * i)));
	elseif (t <= 0.22)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (t <= 8.8e+89)
		tmp = Float64(Float64(t * b) * Float64(Float64(j * y4) - Float64(z * a)));
	elseif (t <= 1.4e+143)
		tmp = Float64(Float64(Float64(x * c) - Float64(k * y5)) * Float64(y0 * y2));
	else
		tmp = Float64(Float64(a * b) * Float64(t * Float64(-z)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (t <= -1.8e+151)
		tmp = t * (y2 * ((a * y5) - (c * y4)));
	elseif (t <= -1.85e+42)
		tmp = y1 * (y4 * ((k * y2) - (j * y3)));
	elseif (t <= -2.5e-149)
		tmp = (x * y) * ((a * b) - (c * i));
	elseif (t <= 0.22)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (t <= 8.8e+89)
		tmp = (t * b) * ((j * y4) - (z * a));
	elseif (t <= 1.4e+143)
		tmp = ((x * c) - (k * y5)) * (y0 * y2);
	else
		tmp = (a * b) * (t * -z);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[t, -1.8e+151], N[(t * N[(y2 * N[(N[(a * y5), $MachinePrecision] - N[(c * y4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -1.85e+42], N[(y1 * N[(y4 * N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, -2.5e-149], N[(N[(x * y), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 0.22], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 8.8e+89], N[(N[(t * b), $MachinePrecision] * N[(N[(j * y4), $MachinePrecision] - N[(z * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[t, 1.4e+143], N[(N[(N[(x * c), $MachinePrecision] - N[(k * y5), $MachinePrecision]), $MachinePrecision] * N[(y0 * y2), $MachinePrecision]), $MachinePrecision], N[(N[(a * b), $MachinePrecision] * N[(t * (-z)), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 7 regimes

2. if t < -1.8e151

   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. Taylor expanded in y2 around inf 52.4%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in t around inf 60.4%

      \[\leadsto \color{blue}{t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)} \]

   if -1.8e151 < t < -1.84999999999999998e42

   1. Initial program 29.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 56.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 56.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 56.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 56.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 56.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 56.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in y4 around inf 38.5%

      \[\leadsto \color{blue}{y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} \]
   6. Step-by-step derivation

      1. *-commutative 38.5%

         \[\leadsto y1 \cdot \color{blue}{\left(\left(k \cdot y2 - j \cdot y3\right) \cdot y4\right)} \]

   7. Simplified 38.5%

      \[\leadsto \color{blue}{y1 \cdot \left(\left(k \cdot y2 - j \cdot y3\right) \cdot y4\right)} \]

   if -1.84999999999999998e42 < t < -2.49999999999999984e-149

   1. Initial program 33.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 37.7%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in y around inf 43.6%

      \[\leadsto \color{blue}{x \cdot \left(y \cdot \left(a \cdot b - c \cdot i\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 40.0%

         \[\leadsto \color{blue}{\left(x \cdot y\right) \cdot \left(a \cdot b - c \cdot i\right)} \]

      2. *-commutative 40.0%

         \[\leadsto \color{blue}{\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y\right)} \]

   5. Simplified 40.0%

      \[\leadsto \color{blue}{\left(a \cdot b - c \cdot i\right) \cdot \left(x \cdot y\right)} \]

   if -2.49999999999999984e-149 < t < 0.220000000000000001

   1. Initial program 32.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 49.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 49.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 49.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 49.5%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 49.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 49.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 49.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 49.5%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 49.5%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 38.0%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 0.220000000000000001 < t < 8.8000000000000001e89

   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. Taylor expanded in b around inf 17.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in t around inf 43.0%

      \[\leadsto \color{blue}{b \cdot \left(t \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 50.8%

         \[\leadsto \color{blue}{\left(b \cdot t\right) \cdot \left(-1 \cdot \left(a \cdot z\right) + j \cdot y4\right)} \]

      2. +-commutative 50.8%

         \[\leadsto \left(b \cdot t\right) \cdot \color{blue}{\left(j \cdot y4 + -1 \cdot \left(a \cdot z\right)\right)} \]

      3. mul-1-neg 50.8%

         \[\leadsto \left(b \cdot t\right) \cdot \left(j \cdot y4 + \color{blue}{\left(-a \cdot z\right)}\right) \]

      4. unsub-neg 50.8%

         \[\leadsto \left(b \cdot t\right) \cdot \color{blue}{\left(j \cdot y4 - a \cdot z\right)} \]

   5. Simplified 50.8%

      \[\leadsto \color{blue}{\left(b \cdot t\right) \cdot \left(j \cdot y4 - a \cdot z\right)} \]

   if 8.8000000000000001e89 < t < 1.39999999999999999e143

   1. Initial program 14.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y2 around inf 85.7%

      \[\leadsto \color{blue}{y2 \cdot \left(\left(k \cdot \left(y1 \cdot y4 - y0 \cdot y5\right) + x \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - t \cdot \left(c \cdot y4 - a \cdot y5\right)\right)} \]

   3. Taylor expanded in y0 around inf 86.6%

      \[\leadsto \color{blue}{y0 \cdot \left(y2 \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 86.6%

         \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)} \]

      2. +-commutative 86.6%

         \[\leadsto \left(y0 \cdot y2\right) \cdot \color{blue}{\left(c \cdot x + -1 \cdot \left(k \cdot y5\right)\right)} \]

      3. mul-1-neg 86.6%

         \[\leadsto \left(y0 \cdot y2\right) \cdot \left(c \cdot x + \color{blue}{\left(-k \cdot y5\right)}\right) \]

      4. unsub-neg 86.6%

         \[\leadsto \left(y0 \cdot y2\right) \cdot \color{blue}{\left(c \cdot x - k \cdot y5\right)} \]

      5. *-commutative 86.6%

         \[\leadsto \left(y0 \cdot y2\right) \cdot \left(\color{blue}{x \cdot c} - k \cdot y5\right) \]

      6. *-commutative 86.6%

         \[\leadsto \left(y0 \cdot y2\right) \cdot \left(x \cdot c - \color{blue}{y5 \cdot k}\right) \]

   5. Simplified 86.6%

      \[\leadsto \color{blue}{\left(y0 \cdot y2\right) \cdot \left(x \cdot c - y5 \cdot k\right)} \]

   if 1.39999999999999999e143 < t

   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. Taylor expanded in b around inf 35.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in a around inf 47.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y - t \cdot z\right)\right)} \]
   4. Step-by-step derivation

      1. associate-*r* 50.8%

         \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(x \cdot y - t \cdot z\right)} \]

      2. *-commutative 50.8%

         \[\leadsto \left(a \cdot b\right) \cdot \left(\color{blue}{y \cdot x} - t \cdot z\right) \]

   5. Simplified 50.8%

      \[\leadsto \color{blue}{\left(a \cdot b\right) \cdot \left(y \cdot x - t \cdot z\right)} \]

   6. Taylor expanded in y around 0 50.8%

      \[\leadsto \left(a \cdot b\right) \cdot \color{blue}{\left(-1 \cdot \left(t \cdot z\right)\right)} \]
   7. Step-by-step derivation

      1. mul-1-neg 50.8%

         \[\leadsto \left(a \cdot b\right) \cdot \color{blue}{\left(-t \cdot z\right)} \]

      2. distribute-lft-neg-out 50.8%

         \[\leadsto \left(a \cdot b\right) \cdot \color{blue}{\left(\left(-t\right) \cdot z\right)} \]

      3. *-commutative 50.8%

         \[\leadsto \left(a \cdot b\right) \cdot \color{blue}{\left(z \cdot \left(-t\right)\right)} \]

   8. Simplified 50.8%

      \[\leadsto \left(a \cdot b\right) \cdot \color{blue}{\left(z \cdot \left(-t\right)\right)} \]
3. Recombined 7 regimes into one program.

4. Final simplification 44.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;t \leq -1.8 \cdot 10^{+151}:\\ \;\;\;\;t \cdot \left(y2 \cdot \left(a \cdot y5 - c \cdot y4\right)\right)\\ \mathbf{elif}\;t \leq -1.85 \cdot 10^{+42}:\\ \;\;\;\;y1 \cdot \left(y4 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq -2.5 \cdot 10^{-149}:\\ \;\;\;\;\left(x \cdot y\right) \cdot \left(a \cdot b - c \cdot i\right)\\ \mathbf{elif}\;t \leq 0.22:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;t \leq 8.8 \cdot 10^{+89}:\\ \;\;\;\;\left(t \cdot b\right) \cdot \left(j \cdot y4 - z \cdot a\right)\\ \mathbf{elif}\;t \leq 1.4 \cdot 10^{+143}:\\ \;\;\;\;\left(x \cdot c - k \cdot y5\right) \cdot \left(y0 \cdot y2\right)\\ \mathbf{else}:\\ \;\;\;\;\left(a \cdot b\right) \cdot \left(t \cdot \left(-z\right)\right)\\ \end{array} \]

Alternative 28: 31.2% accurate, 4.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{if}\;y1 \leq -1.4 \cdot 10^{+242}:\\ \;\;\;\;k \cdot \left(i \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.3 \cdot 10^{+203}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -4 \cdot 10^{+102}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq -1.6 \cdot 10^{+33}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq 5.4 \cdot 10^{-100}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* y1 (- (* x j) (* z k))))))
   (if (<= y1 -1.4e+242)
     (* k (* i (* z (- y1))))
     (if (<= y1 -1.3e+203)
       (* j (* x (- (* i y1) (* b y0))))
       (if (<= y1 -4e+102)
         t_1
         (if (<= y1 -1.6e+33)
           (* b (* y0 (- (* z k) (* x j))))
           (if (<= y1 5.4e-100) (* c (* y0 (- (* x y2) (* z y3)))) t_1)))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y1 * ((x * j) - (z * k)));
	double tmp;
	if (y1 <= -1.4e+242) {
		tmp = k * (i * (z * -y1));
	} else if (y1 <= -1.3e+203) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y1 <= -4e+102) {
		tmp = t_1;
	} else if (y1 <= -1.6e+33) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y1 <= 5.4e-100) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (y1 * ((x * j) - (z * k)))
    if (y1 <= (-1.4d+242)) then
        tmp = k * (i * (z * -y1))
    else if (y1 <= (-1.3d+203)) then
        tmp = j * (x * ((i * y1) - (b * y0)))
    else if (y1 <= (-4d+102)) then
        tmp = t_1
    else if (y1 <= (-1.6d+33)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y1 <= 5.4d-100) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (y1 * ((x * j) - (z * k)));
	double tmp;
	if (y1 <= -1.4e+242) {
		tmp = k * (i * (z * -y1));
	} else if (y1 <= -1.3e+203) {
		tmp = j * (x * ((i * y1) - (b * y0)));
	} else if (y1 <= -4e+102) {
		tmp = t_1;
	} else if (y1 <= -1.6e+33) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y1 <= 5.4e-100) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (y1 * ((x * j) - (z * k)))
	tmp = 0
	if y1 <= -1.4e+242:
		tmp = k * (i * (z * -y1))
	elif y1 <= -1.3e+203:
		tmp = j * (x * ((i * y1) - (b * y0)))
	elif y1 <= -4e+102:
		tmp = t_1
	elif y1 <= -1.6e+33:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y1 <= 5.4e-100:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))))
	tmp = 0.0
	if (y1 <= -1.4e+242)
		tmp = Float64(k * Float64(i * Float64(z * Float64(-y1))));
	elseif (y1 <= -1.3e+203)
		tmp = Float64(j * Float64(x * Float64(Float64(i * y1) - Float64(b * y0))));
	elseif (y1 <= -4e+102)
		tmp = t_1;
	elseif (y1 <= -1.6e+33)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y1 <= 5.4e-100)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (y1 * ((x * j) - (z * k)));
	tmp = 0.0;
	if (y1 <= -1.4e+242)
		tmp = k * (i * (z * -y1));
	elseif (y1 <= -1.3e+203)
		tmp = j * (x * ((i * y1) - (b * y0)));
	elseif (y1 <= -4e+102)
		tmp = t_1;
	elseif (y1 <= -1.6e+33)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y1 <= 5.4e-100)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -1.4e+242], N[(k * N[(i * N[(z * (-y1)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.3e+203], N[(j * N[(x * N[(N[(i * y1), $MachinePrecision] - N[(b * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -4e+102], t$95$1, If[LessEqual[y1, -1.6e+33], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 5.4e-100], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]]

Derivation

1. Split input into 5 regimes

2. if y1 < -1.4e242

   1. Initial program 7.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 42.9%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 42.9%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 42.9%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 44.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 44.3%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 37.4%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 37.4%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 37.4%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 57.8%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 57.8%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 57.8%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 57.8%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 57.8%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 57.8%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   11. Taylor expanded in k around 0 57.8%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   12. Step-by-step derivation

       1. mul-1-neg 57.8%

          \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

       2. *-commutative 57.8%

          \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

       3. distribute-rgt-neg-in 57.8%

          \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

       4. associate-*r* 64.5%

          \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   13. Simplified 64.5%

       \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   if -1.4e242 < y1 < -1.2999999999999999e203

   1. Initial program 37.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in x around inf 62.5%

      \[\leadsto \color{blue}{x \cdot \left(\left(y \cdot \left(a \cdot b - c \cdot i\right) + y2 \cdot \left(c \cdot y0 - a \cdot y1\right)\right) - j \cdot \left(b \cdot y0 - i \cdot y1\right)\right)} \]

   3. Taylor expanded in j around inf 75.0%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 75.0%

         \[\leadsto j \cdot \left(x \cdot \left(\color{blue}{y1 \cdot i} - b \cdot y0\right)\right) \]

      2. *-commutative 75.0%

         \[\leadsto j \cdot \left(x \cdot \left(y1 \cdot i - \color{blue}{y0 \cdot b}\right)\right) \]

   5. Simplified 75.0%

      \[\leadsto \color{blue}{j \cdot \left(x \cdot \left(y1 \cdot i - y0 \cdot b\right)\right)} \]

   if -1.2999999999999999e203 < y1 < -3.99999999999999991e102 or 5.40000000000000031e-100 < y1

   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. Taylor expanded in y1 around inf 51.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 51.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 51.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 51.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 51.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 51.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around -inf 37.4%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   if -3.99999999999999991e102 < y1 < -1.60000000000000009e33

   1. Initial program 38.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 57.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 53.3%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -1.60000000000000009e33 < y1 < 5.40000000000000031e-100

   1. Initial program 34.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 39.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 39.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 39.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 39.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 34.7%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 40.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -1.4 \cdot 10^{+242}:\\ \;\;\;\;k \cdot \left(i \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.3 \cdot 10^{+203}:\\ \;\;\;\;j \cdot \left(x \cdot \left(i \cdot y1 - b \cdot y0\right)\right)\\ \mathbf{elif}\;y1 \leq -4 \cdot 10^{+102}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \mathbf{elif}\;y1 \leq -1.6 \cdot 10^{+33}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq 5.4 \cdot 10^{-100}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \]

Alternative 29: 24.0% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;i \leq -6 \cdot 10^{+79}:\\ \;\;\;\;\left(x \cdot j\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;i \leq -1.05 \cdot 10^{-36}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;i \leq 6.5 \cdot 10^{-164}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)\\ \mathbf{elif}\;i \leq 1.6 \cdot 10^{+136}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(i \cdot \left(t \cdot \left(-y5\right)\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0))))))
   (if (<= i -6e+79)
     (* (* x j) (* i y1))
     (if (<= i -1.05e-36)
       t_1
       (if (<= i 6.5e-164)
         (* (* j y0) (* y3 y5))
         (if (<= i 1.6e+136) t_1 (* j (* i (* t (- y5))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (i <= -6e+79) {
		tmp = (x * j) * (i * y1);
	} else if (i <= -1.05e-36) {
		tmp = t_1;
	} else if (i <= 6.5e-164) {
		tmp = (j * y0) * (y3 * y5);
	} else if (i <= 1.6e+136) {
		tmp = t_1;
	} else {
		tmp = j * (i * (t * -y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (x * ((y * a) - (j * y0)))
    if (i <= (-6d+79)) then
        tmp = (x * j) * (i * y1)
    else if (i <= (-1.05d-36)) then
        tmp = t_1
    else if (i <= 6.5d-164) then
        tmp = (j * y0) * (y3 * y5)
    else if (i <= 1.6d+136) then
        tmp = t_1
    else
        tmp = j * (i * (t * -y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (i <= -6e+79) {
		tmp = (x * j) * (i * y1);
	} else if (i <= -1.05e-36) {
		tmp = t_1;
	} else if (i <= 6.5e-164) {
		tmp = (j * y0) * (y3 * y5);
	} else if (i <= 1.6e+136) {
		tmp = t_1;
	} else {
		tmp = j * (i * (t * -y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (x * ((y * a) - (j * y0)))
	tmp = 0
	if i <= -6e+79:
		tmp = (x * j) * (i * y1)
	elif i <= -1.05e-36:
		tmp = t_1
	elif i <= 6.5e-164:
		tmp = (j * y0) * (y3 * y5)
	elif i <= 1.6e+136:
		tmp = t_1
	else:
		tmp = j * (i * (t * -y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (i <= -6e+79)
		tmp = Float64(Float64(x * j) * Float64(i * y1));
	elseif (i <= -1.05e-36)
		tmp = t_1;
	elseif (i <= 6.5e-164)
		tmp = Float64(Float64(j * y0) * Float64(y3 * y5));
	elseif (i <= 1.6e+136)
		tmp = t_1;
	else
		tmp = Float64(j * Float64(i * Float64(t * Float64(-y5))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (i <= -6e+79)
		tmp = (x * j) * (i * y1);
	elseif (i <= -1.05e-36)
		tmp = t_1;
	elseif (i <= 6.5e-164)
		tmp = (j * y0) * (y3 * y5);
	elseif (i <= 1.6e+136)
		tmp = t_1;
	else
		tmp = j * (i * (t * -y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[i, -6e+79], N[(N[(x * j), $MachinePrecision] * N[(i * y1), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, -1.05e-36], t$95$1, If[LessEqual[i, 6.5e-164], N[(N[(j * y0), $MachinePrecision] * N[(y3 * y5), $MachinePrecision]), $MachinePrecision], If[LessEqual[i, 1.6e+136], t$95$1, N[(j * N[(i * N[(t * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]

Derivation

1. Split input into 4 regimes

2. if i < -5.99999999999999948e79

   1. Initial program 39.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 39.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 39.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 39.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 39.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 39.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 39.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 38.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 38.7%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 44.2%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 44.2%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 44.2%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around 0 36.7%

      \[\leadsto \left(-i \cdot y1\right) \cdot \color{blue}{\left(-1 \cdot \left(j \cdot x\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 36.7%

         \[\leadsto \left(-i \cdot y1\right) \cdot \color{blue}{\left(-j \cdot x\right)} \]

      2. distribute-lft-neg-out 36.7%

         \[\leadsto \left(-i \cdot y1\right) \cdot \color{blue}{\left(\left(-j\right) \cdot x\right)} \]

      3. *-commutative 36.7%

         \[\leadsto \left(-i \cdot y1\right) \cdot \color{blue}{\left(x \cdot \left(-j\right)\right)} \]

   10. Simplified 36.7%

       \[\leadsto \left(-i \cdot y1\right) \cdot \color{blue}{\left(x \cdot \left(-j\right)\right)} \]

   if -5.99999999999999948e79 < i < -1.04999999999999995e-36 or 6.50000000000000004e-164 < i < 1.59999999999999994e136

   1. Initial program 25.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 41.4%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 37.3%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 37.3%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 37.3%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   if -1.04999999999999995e-36 < i < 6.50000000000000004e-164

   1. Initial program 36.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 47.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 47.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 47.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 47.4%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 47.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 47.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 47.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 47.4%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 47.4%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 27.7%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 27.7%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 27.7%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 27.7%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 27.7%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 27.7%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 22.8%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 25.2%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)} \]

      2. *-commutative 25.2%

         \[\leadsto \color{blue}{\left(y0 \cdot j\right)} \cdot \left(y3 \cdot y5\right) \]

   10. Simplified 25.2%

       \[\leadsto \color{blue}{\left(y0 \cdot j\right) \cdot \left(y3 \cdot y5\right)} \]

   if 1.59999999999999994e136 < i

   1. Initial program 23.3%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 49.3%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in i around inf 33.8%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right)\right)} \]
   4. Step-by-step derivation

      1. cancel-sign-sub-inv 33.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right)\right) \]

      2. fma-udef 33.8%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)}\right)\right) \]

      3. associate-*r* 40.2%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)\right)} \]

      4. fma-udef 40.2%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right) \]

      5. cancel-sign-sub-inv 40.2%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t - k \cdot y\right)}\right) \]

   5. Simplified 40.2%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   6. Taylor expanded in j around inf 26.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(j \cdot \left(t \cdot y5\right)\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 26.7%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(j \cdot \left(t \cdot y5\right)\right) \cdot i\right)} \]

      2. associate-*l* 31.2%

         \[\leadsto -1 \cdot \color{blue}{\left(j \cdot \left(\left(t \cdot y5\right) \cdot i\right)\right)} \]

      3. *-commutative 31.2%

         \[\leadsto -1 \cdot \left(j \cdot \left(\color{blue}{\left(y5 \cdot t\right)} \cdot i\right)\right) \]

   8. Simplified 31.2%

      \[\leadsto -1 \cdot \color{blue}{\left(j \cdot \left(\left(y5 \cdot t\right) \cdot i\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 32.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;i \leq -6 \cdot 10^{+79}:\\ \;\;\;\;\left(x \cdot j\right) \cdot \left(i \cdot y1\right)\\ \mathbf{elif}\;i \leq -1.05 \cdot 10^{-36}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;i \leq 6.5 \cdot 10^{-164}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)\\ \mathbf{elif}\;i \leq 1.6 \cdot 10^{+136}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{else}:\\ \;\;\;\;j \cdot \left(i \cdot \left(t \cdot \left(-y5\right)\right)\right)\\ \end{array} \]

Alternative 30: 26.8% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{if}\;y5 \leq -8.5 \cdot 10^{+136}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -3.2 \cdot 10^{+30}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq -1.65 \cdot 10^{-81}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 9 \cdot 10^{-46}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y5 \leq 3.1 \cdot 10^{+198}:\\ \;\;\;\;i \cdot \left(j \cdot \left(t \cdot \left(-y5\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* x (- (* y a) (* j y0))))))
   (if (<= y5 -8.5e+136)
     (* y0 (* j (* y3 y5)))
     (if (<= y5 -3.2e+30)
       t_1
       (if (<= y5 -1.65e-81)
         (* b (* y4 (- (* t j) (* y k))))
         (if (<= y5 9e-46)
           t_1
           (if (<= y5 3.1e+198)
             (* i (* j (* t (- y5))))
             (* i (* k (* y y5))))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (y5 <= -8.5e+136) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y5 <= -3.2e+30) {
		tmp = t_1;
	} else if (y5 <= -1.65e-81) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= 9e-46) {
		tmp = t_1;
	} else if (y5 <= 3.1e+198) {
		tmp = i * (j * (t * -y5));
	} else {
		tmp = i * (k * (y * y5));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (x * ((y * a) - (j * y0)))
    if (y5 <= (-8.5d+136)) then
        tmp = y0 * (j * (y3 * y5))
    else if (y5 <= (-3.2d+30)) then
        tmp = t_1
    else if (y5 <= (-1.65d-81)) then
        tmp = b * (y4 * ((t * j) - (y * k)))
    else if (y5 <= 9d-46) then
        tmp = t_1
    else if (y5 <= 3.1d+198) then
        tmp = i * (j * (t * -y5))
    else
        tmp = i * (k * (y * y5))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (x * ((y * a) - (j * y0)));
	double tmp;
	if (y5 <= -8.5e+136) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y5 <= -3.2e+30) {
		tmp = t_1;
	} else if (y5 <= -1.65e-81) {
		tmp = b * (y4 * ((t * j) - (y * k)));
	} else if (y5 <= 9e-46) {
		tmp = t_1;
	} else if (y5 <= 3.1e+198) {
		tmp = i * (j * (t * -y5));
	} else {
		tmp = i * (k * (y * y5));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (x * ((y * a) - (j * y0)))
	tmp = 0
	if y5 <= -8.5e+136:
		tmp = y0 * (j * (y3 * y5))
	elif y5 <= -3.2e+30:
		tmp = t_1
	elif y5 <= -1.65e-81:
		tmp = b * (y4 * ((t * j) - (y * k)))
	elif y5 <= 9e-46:
		tmp = t_1
	elif y5 <= 3.1e+198:
		tmp = i * (j * (t * -y5))
	else:
		tmp = i * (k * (y * y5))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(x * Float64(Float64(y * a) - Float64(j * y0))))
	tmp = 0.0
	if (y5 <= -8.5e+136)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (y5 <= -3.2e+30)
		tmp = t_1;
	elseif (y5 <= -1.65e-81)
		tmp = Float64(b * Float64(y4 * Float64(Float64(t * j) - Float64(y * k))));
	elseif (y5 <= 9e-46)
		tmp = t_1;
	elseif (y5 <= 3.1e+198)
		tmp = Float64(i * Float64(j * Float64(t * Float64(-y5))));
	else
		tmp = Float64(i * Float64(k * Float64(y * y5)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (x * ((y * a) - (j * y0)));
	tmp = 0.0;
	if (y5 <= -8.5e+136)
		tmp = y0 * (j * (y3 * y5));
	elseif (y5 <= -3.2e+30)
		tmp = t_1;
	elseif (y5 <= -1.65e-81)
		tmp = b * (y4 * ((t * j) - (y * k)));
	elseif (y5 <= 9e-46)
		tmp = t_1;
	elseif (y5 <= 3.1e+198)
		tmp = i * (j * (t * -y5));
	else
		tmp = i * (k * (y * y5));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(x * N[(N[(y * a), $MachinePrecision] - N[(j * y0), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y5, -8.5e+136], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, -3.2e+30], t$95$1, If[LessEqual[y5, -1.65e-81], N[(b * N[(y4 * N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y5, 9e-46], t$95$1, If[LessEqual[y5, 3.1e+198], N[(i * N[(j * N[(t * (-y5)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(k * N[(y * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y5 < -8.49999999999999966e136

   1. Initial program 29.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 64.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 64.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 64.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 64.8%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 64.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 64.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 64.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 64.8%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 64.8%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 38.6%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 38.6%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 38.6%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 38.6%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 38.6%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 38.6%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 38.8%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   if -8.49999999999999966e136 < y5 < -3.19999999999999973e30 or -1.64999999999999994e-81 < y5 < 9.00000000000000001e-46

   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. Taylor expanded in b around inf 37.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 30.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 30.9%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 30.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   if -3.19999999999999973e30 < y5 < -1.64999999999999994e-81

   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. Taylor expanded in b around inf 48.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y4 around inf 41.9%

      \[\leadsto \color{blue}{b \cdot \left(y4 \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   if 9.00000000000000001e-46 < y5 < 3.09999999999999975e198

   1. Initial program 39.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y5 around -inf 49.6%

      \[\leadsto \color{blue}{-1 \cdot \left(y5 \cdot \left(\left(i \cdot \left(j \cdot t - k \cdot y\right) + y0 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - a \cdot \left(t \cdot y2 - y \cdot y3\right)\right)\right)} \]

   3. Taylor expanded in i around inf 39.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y5 \cdot \left(j \cdot t - k \cdot y\right)\right)\right)} \]
   4. Step-by-step derivation

      1. cancel-sign-sub-inv 39.7%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right)\right) \]

      2. fma-udef 39.7%

         \[\leadsto -1 \cdot \left(i \cdot \left(y5 \cdot \color{blue}{\mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)}\right)\right) \]

      3. associate-*r* 39.7%

         \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \mathsf{fma}\left(j, t, \left(-k\right) \cdot y\right)\right)} \]

      4. fma-udef 39.7%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t + \left(-k\right) \cdot y\right)}\right) \]

      5. cancel-sign-sub-inv 39.7%

         \[\leadsto -1 \cdot \left(\left(i \cdot y5\right) \cdot \color{blue}{\left(j \cdot t - k \cdot y\right)}\right) \]

   5. Simplified 39.7%

      \[\leadsto -1 \cdot \color{blue}{\left(\left(i \cdot y5\right) \cdot \left(j \cdot t - k \cdot y\right)\right)} \]

   6. Taylor expanded in j around inf 32.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(j \cdot \left(t \cdot y5\right)\right)\right)} \]
   7. Step-by-step derivation

      1. *-commutative 32.7%

         \[\leadsto -1 \cdot \left(i \cdot \left(j \cdot \color{blue}{\left(y5 \cdot t\right)}\right)\right) \]

   8. Simplified 32.7%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(j \cdot \left(y5 \cdot t\right)\right)\right)} \]

   if 3.09999999999999975e198 < y5

   1. Initial program 34.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in i around -inf 38.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(\left(c \cdot \left(x \cdot y - t \cdot z\right) + y5 \cdot \left(j \cdot t - k \cdot y\right)\right) - y1 \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} \]

   3. Taylor expanded in y around inf 42.8%

      \[\leadsto -1 \cdot \color{blue}{\left(i \cdot \left(y \cdot \left(-1 \cdot \left(k \cdot y5\right) + c \cdot x\right)\right)\right)} \]

   4. Taylor expanded in k around inf 46.0%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(-1 \cdot \left(k \cdot \left(y \cdot y5\right)\right)\right)}\right) \]
   5. Step-by-step derivation

      1. associate-*r* 46.0%

         \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(\left(-1 \cdot k\right) \cdot \left(y \cdot y5\right)\right)}\right) \]

      2. mul-1-neg 46.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(\color{blue}{\left(-k\right)} \cdot \left(y \cdot y5\right)\right)\right) \]

      3. *-commutative 46.0%

         \[\leadsto -1 \cdot \left(i \cdot \left(\left(-k\right) \cdot \color{blue}{\left(y5 \cdot y\right)}\right)\right) \]

   6. Simplified 46.0%

      \[\leadsto -1 \cdot \left(i \cdot \color{blue}{\left(\left(-k\right) \cdot \left(y5 \cdot y\right)\right)}\right) \]
3. Recombined 5 regimes into one program.

4. Final simplification 35.0%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y5 \leq -8.5 \cdot 10^{+136}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y5 \leq -3.2 \cdot 10^{+30}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq -1.65 \cdot 10^{-81}:\\ \;\;\;\;b \cdot \left(y4 \cdot \left(t \cdot j - y \cdot k\right)\right)\\ \mathbf{elif}\;y5 \leq 9 \cdot 10^{-46}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a - j \cdot y0\right)\right)\\ \mathbf{elif}\;y5 \leq 3.1 \cdot 10^{+198}:\\ \;\;\;\;i \cdot \left(j \cdot \left(t \cdot \left(-y5\right)\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(k \cdot \left(y \cdot y5\right)\right)\\ \end{array} \]

Alternative 31: 24.5% accurate, 4.9× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{if}\;y1 \leq -2.4 \cdot 10^{+101}:\\ \;\;\;\;k \cdot \left(i \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.5 \cdot 10^{+33}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y1 \leq 1.95 \cdot 10^{-120}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 8.4 \cdot 10^{+170}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;t_1\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* b (* y0 (- (* z k) (* x j))))))
   (if (<= y1 -2.4e+101)
     (* k (* i (* z (- y1))))
     (if (<= y1 -1.5e+33)
       t_1
       (if (<= y1 1.95e-120)
         (* c (* y0 (- (* x y2) (* z y3))))
         (if (<= y1 8.4e+170) (* y0 (* j (* y3 y5))) t_1))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y0 * ((z * k) - (x * j)));
	double tmp;
	if (y1 <= -2.4e+101) {
		tmp = k * (i * (z * -y1));
	} else if (y1 <= -1.5e+33) {
		tmp = t_1;
	} else if (y1 <= 1.95e-120) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y1 <= 8.4e+170) {
		tmp = y0 * (j * (y3 * y5));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = b * (y0 * ((z * k) - (x * j)))
    if (y1 <= (-2.4d+101)) then
        tmp = k * (i * (z * -y1))
    else if (y1 <= (-1.5d+33)) then
        tmp = t_1
    else if (y1 <= 1.95d-120) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else if (y1 <= 8.4d+170) then
        tmp = y0 * (j * (y3 * y5))
    else
        tmp = t_1
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = b * (y0 * ((z * k) - (x * j)));
	double tmp;
	if (y1 <= -2.4e+101) {
		tmp = k * (i * (z * -y1));
	} else if (y1 <= -1.5e+33) {
		tmp = t_1;
	} else if (y1 <= 1.95e-120) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else if (y1 <= 8.4e+170) {
		tmp = y0 * (j * (y3 * y5));
	} else {
		tmp = t_1;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = b * (y0 * ((z * k) - (x * j)))
	tmp = 0
	if y1 <= -2.4e+101:
		tmp = k * (i * (z * -y1))
	elif y1 <= -1.5e+33:
		tmp = t_1
	elif y1 <= 1.95e-120:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	elif y1 <= 8.4e+170:
		tmp = y0 * (j * (y3 * y5))
	else:
		tmp = t_1
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))))
	tmp = 0.0
	if (y1 <= -2.4e+101)
		tmp = Float64(k * Float64(i * Float64(z * Float64(-y1))));
	elseif (y1 <= -1.5e+33)
		tmp = t_1;
	elseif (y1 <= 1.95e-120)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	elseif (y1 <= 8.4e+170)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	else
		tmp = t_1;
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = b * (y0 * ((z * k) - (x * j)));
	tmp = 0.0;
	if (y1 <= -2.4e+101)
		tmp = k * (i * (z * -y1));
	elseif (y1 <= -1.5e+33)
		tmp = t_1;
	elseif (y1 <= 1.95e-120)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	elseif (y1 <= 8.4e+170)
		tmp = y0 * (j * (y3 * y5));
	else
		tmp = t_1;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y1, -2.4e+101], N[(k * N[(i * N[(z * (-y1)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.5e+33], t$95$1, If[LessEqual[y1, 1.95e-120], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 8.4e+170], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], t$95$1]]]]]

Derivation

1. Split input into 4 regimes

2. if y1 < -2.39999999999999988e101

   1. Initial program 24.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 48.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 48.2%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 48.2%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 48.2%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 48.2%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 48.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 38.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 38.3%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 40.4%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 40.4%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 40.4%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 40.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 40.2%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 40.2%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 40.2%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 40.2%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 40.2%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   11. Taylor expanded in k around 0 40.2%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   12. Step-by-step derivation

       1. mul-1-neg 40.2%

          \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

       2. *-commutative 40.2%

          \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

       3. distribute-rgt-neg-in 40.2%

          \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

       4. associate-*r* 42.2%

          \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   13. Simplified 42.2%

       \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   if -2.39999999999999988e101 < y1 < -1.49999999999999992e33 or 8.39999999999999991e170 < y1

   1. Initial program 25.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 50.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 43.9%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -1.49999999999999992e33 < y1 < 1.9500000000000001e-120

   1. Initial program 34.8%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 38.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 38.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 38.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 38.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 38.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 34.2%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 1.9500000000000001e-120 < y1 < 8.39999999999999991e170

   1. Initial program 35.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 59.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 59.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 59.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 59.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 59.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 59.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 59.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 59.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 59.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 43.1%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 43.1%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 43.1%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 43.1%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 43.1%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 43.1%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 40.8%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 38.4%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -2.4 \cdot 10^{+101}:\\ \;\;\;\;k \cdot \left(i \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.5 \cdot 10^{+33}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq 1.95 \cdot 10^{-120}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{elif}\;y1 \leq 8.4 \cdot 10^{+170}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \end{array} \]

Alternative 32: 22.5% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ t_2 := i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{if}\;y \leq -1 \cdot 10^{+164}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y \leq -6 \cdot 10^{-154}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{-277}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 2.5 \cdot 10^{-211}:\\ \;\;\;\;t_2\\ \mathbf{elif}\;y \leq 1.5 \cdot 10^{+32}:\\ \;\;\;\;t_1\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* j (* y0 (* y3 y5)))) (t_2 (* i (* j (* x y1)))))
   (if (<= y -1e+164)
     (* b (* (* x y) a))
     (if (<= y -6e-154)
       t_2
       (if (<= y -3.1e-277)
         t_1
         (if (<= y 2.5e-211)
           t_2
           (if (<= y 1.5e+32) t_1 (* a (* (* x y) b)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (y0 * (y3 * y5));
	double t_2 = i * (j * (x * y1));
	double tmp;
	if (y <= -1e+164) {
		tmp = b * ((x * y) * a);
	} else if (y <= -6e-154) {
		tmp = t_2;
	} else if (y <= -3.1e-277) {
		tmp = t_1;
	} else if (y <= 2.5e-211) {
		tmp = t_2;
	} else if (y <= 1.5e+32) {
		tmp = t_1;
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_2
    real(8) :: tmp
    t_1 = j * (y0 * (y3 * y5))
    t_2 = i * (j * (x * y1))
    if (y <= (-1d+164)) then
        tmp = b * ((x * y) * a)
    else if (y <= (-6d-154)) then
        tmp = t_2
    else if (y <= (-3.1d-277)) then
        tmp = t_1
    else if (y <= 2.5d-211) then
        tmp = t_2
    else if (y <= 1.5d+32) then
        tmp = t_1
    else
        tmp = a * ((x * y) * b)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = j * (y0 * (y3 * y5));
	double t_2 = i * (j * (x * y1));
	double tmp;
	if (y <= -1e+164) {
		tmp = b * ((x * y) * a);
	} else if (y <= -6e-154) {
		tmp = t_2;
	} else if (y <= -3.1e-277) {
		tmp = t_1;
	} else if (y <= 2.5e-211) {
		tmp = t_2;
	} else if (y <= 1.5e+32) {
		tmp = t_1;
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = j * (y0 * (y3 * y5))
	t_2 = i * (j * (x * y1))
	tmp = 0
	if y <= -1e+164:
		tmp = b * ((x * y) * a)
	elif y <= -6e-154:
		tmp = t_2
	elif y <= -3.1e-277:
		tmp = t_1
	elif y <= 2.5e-211:
		tmp = t_2
	elif y <= 1.5e+32:
		tmp = t_1
	else:
		tmp = a * ((x * y) * b)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(j * Float64(y0 * Float64(y3 * y5)))
	t_2 = Float64(i * Float64(j * Float64(x * y1)))
	tmp = 0.0
	if (y <= -1e+164)
		tmp = Float64(b * Float64(Float64(x * y) * a));
	elseif (y <= -6e-154)
		tmp = t_2;
	elseif (y <= -3.1e-277)
		tmp = t_1;
	elseif (y <= 2.5e-211)
		tmp = t_2;
	elseif (y <= 1.5e+32)
		tmp = t_1;
	else
		tmp = Float64(a * Float64(Float64(x * y) * b));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = j * (y0 * (y3 * y5));
	t_2 = i * (j * (x * y1));
	tmp = 0.0;
	if (y <= -1e+164)
		tmp = b * ((x * y) * a);
	elseif (y <= -6e-154)
		tmp = t_2;
	elseif (y <= -3.1e-277)
		tmp = t_1;
	elseif (y <= 2.5e-211)
		tmp = t_2;
	elseif (y <= 1.5e+32)
		tmp = t_1;
	else
		tmp = a * ((x * y) * b);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -1e+164], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -6e-154], t$95$2, If[LessEqual[y, -3.1e-277], t$95$1, If[LessEqual[y, 2.5e-211], t$95$2, If[LessEqual[y, 1.5e+32], t$95$1, N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]]]]]]]]

Derivation

1. Split input into 4 regimes

2. if y < -1e164

   1. Initial program 15.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 46.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 46.5%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 46.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 50.5%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y\right)\right)} \]

   if -1e164 < y < -6.0000000000000005e-154 or -3.09999999999999979e-277 < y < 2.5000000000000001e-211

   1. Initial program 32.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 41.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 41.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 41.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 30.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 30.5%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 28.3%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 28.3%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 28.3%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around 0 28.4%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]

   if -6.0000000000000005e-154 < y < -3.09999999999999979e-277 or 2.5000000000000001e-211 < y < 1.5e32

   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. Taylor expanded in y0 around inf 45.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 45.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 45.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 45.0%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 45.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 45.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 45.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 45.0%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 45.0%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 28.7%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 28.7%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 28.7%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 28.7%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 28.7%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 28.7%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 27.7%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]

   if 1.5e32 < y

   1. Initial program 25.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 41.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 40.0%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 40.0%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 40.0%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 38.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 32.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1 \cdot 10^{+164}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y \leq -6 \cdot 10^{-154}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -3.1 \cdot 10^{-277}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 2.5 \cdot 10^{-211}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 1.5 \cdot 10^{+32}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]

Alternative 33: 22.5% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{if}\;y \leq -9.4 \cdot 10^{+163}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y \leq -1.55 \cdot 10^{-158}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-270}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.02 \cdot 10^{-209}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{+32}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* j (* x y1)))))
   (if (<= y -9.4e+163)
     (* b (* (* x y) a))
     (if (<= y -1.55e-158)
       t_1
       (if (<= y -1.05e-270)
         (* y0 (* j (* y3 y5)))
         (if (<= y 1.02e-209)
           t_1
           (if (<= y 1.7e+32) (* j (* y0 (* y3 y5))) (* a (* (* x y) b)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (j * (x * y1));
	double tmp;
	if (y <= -9.4e+163) {
		tmp = b * ((x * y) * a);
	} else if (y <= -1.55e-158) {
		tmp = t_1;
	} else if (y <= -1.05e-270) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y <= 1.02e-209) {
		tmp = t_1;
	} else if (y <= 1.7e+32) {
		tmp = j * (y0 * (y3 * y5));
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (j * (x * y1))
    if (y <= (-9.4d+163)) then
        tmp = b * ((x * y) * a)
    else if (y <= (-1.55d-158)) then
        tmp = t_1
    else if (y <= (-1.05d-270)) then
        tmp = y0 * (j * (y3 * y5))
    else if (y <= 1.02d-209) then
        tmp = t_1
    else if (y <= 1.7d+32) then
        tmp = j * (y0 * (y3 * y5))
    else
        tmp = a * ((x * y) * b)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (j * (x * y1));
	double tmp;
	if (y <= -9.4e+163) {
		tmp = b * ((x * y) * a);
	} else if (y <= -1.55e-158) {
		tmp = t_1;
	} else if (y <= -1.05e-270) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y <= 1.02e-209) {
		tmp = t_1;
	} else if (y <= 1.7e+32) {
		tmp = j * (y0 * (y3 * y5));
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (j * (x * y1))
	tmp = 0
	if y <= -9.4e+163:
		tmp = b * ((x * y) * a)
	elif y <= -1.55e-158:
		tmp = t_1
	elif y <= -1.05e-270:
		tmp = y0 * (j * (y3 * y5))
	elif y <= 1.02e-209:
		tmp = t_1
	elif y <= 1.7e+32:
		tmp = j * (y0 * (y3 * y5))
	else:
		tmp = a * ((x * y) * b)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(j * Float64(x * y1)))
	tmp = 0.0
	if (y <= -9.4e+163)
		tmp = Float64(b * Float64(Float64(x * y) * a));
	elseif (y <= -1.55e-158)
		tmp = t_1;
	elseif (y <= -1.05e-270)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (y <= 1.02e-209)
		tmp = t_1;
	elseif (y <= 1.7e+32)
		tmp = Float64(j * Float64(y0 * Float64(y3 * y5)));
	else
		tmp = Float64(a * Float64(Float64(x * y) * b));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (j * (x * y1));
	tmp = 0.0;
	if (y <= -9.4e+163)
		tmp = b * ((x * y) * a);
	elseif (y <= -1.55e-158)
		tmp = t_1;
	elseif (y <= -1.05e-270)
		tmp = y0 * (j * (y3 * y5));
	elseif (y <= 1.02e-209)
		tmp = t_1;
	elseif (y <= 1.7e+32)
		tmp = j * (y0 * (y3 * y5));
	else
		tmp = a * ((x * y) * b);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -9.4e+163], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.55e-158], t$95$1, If[LessEqual[y, -1.05e-270], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.02e-209], t$95$1, If[LessEqual[y, 1.7e+32], N[(j * N[(y0 * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y < -9.40000000000000037e163

   1. Initial program 15.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 46.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 46.5%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 46.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 50.5%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y\right)\right)} \]

   if -9.40000000000000037e163 < y < -1.55000000000000009e-158 or -1.04999999999999998e-270 < y < 1.01999999999999999e-209

   1. Initial program 32.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 41.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 41.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 41.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 30.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 30.5%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 28.3%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 28.3%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 28.3%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around 0 28.4%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]

   if -1.55000000000000009e-158 < y < -1.04999999999999998e-270

   1. Initial program 51.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 55.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 55.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 55.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 55.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 55.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 55.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 55.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 55.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 55.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 46.2%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 46.2%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 46.2%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 46.2%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 46.2%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 46.2%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 42.4%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   if 1.01999999999999999e-209 < y < 1.69999999999999989e32

   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. Taylor expanded in y0 around inf 39.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 39.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 39.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 39.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 19.5%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 19.5%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 19.5%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 19.5%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 19.5%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 19.5%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 20.0%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]

   if 1.69999999999999989e32 < y

   1. Initial program 25.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 41.1%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 40.0%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 40.0%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 40.0%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 38.4%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 32.7%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -9.4 \cdot 10^{+163}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y \leq -1.55 \cdot 10^{-158}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -1.05 \cdot 10^{-270}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 1.02 \cdot 10^{-209}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 1.7 \cdot 10^{+32}:\\ \;\;\;\;j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]

Alternative 34: 22.1% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{if}\;y \leq -3.8 \cdot 10^{+164}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y \leq -1.06 \cdot 10^{-159}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq -8.8 \cdot 10^{-277}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-210}:\\ \;\;\;\;t_1\\ \mathbf{elif}\;y \leq 4.9 \cdot 10^{+52}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (* i (* j (* x y1)))))
   (if (<= y -3.8e+164)
     (* b (* (* x y) a))
     (if (<= y -1.06e-159)
       t_1
       (if (<= y -8.8e-277)
         (* y0 (* j (* y3 y5)))
         (if (<= y 7e-210)
           t_1
           (if (<= y 4.9e+52) (* (* j y0) (* y3 y5)) (* a (* (* x y) b)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (j * (x * y1));
	double tmp;
	if (y <= -3.8e+164) {
		tmp = b * ((x * y) * a);
	} else if (y <= -1.06e-159) {
		tmp = t_1;
	} else if (y <= -8.8e-277) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y <= 7e-210) {
		tmp = t_1;
	} else if (y <= 4.9e+52) {
		tmp = (j * y0) * (y3 * y5);
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: tmp
    t_1 = i * (j * (x * y1))
    if (y <= (-3.8d+164)) then
        tmp = b * ((x * y) * a)
    else if (y <= (-1.06d-159)) then
        tmp = t_1
    else if (y <= (-8.8d-277)) then
        tmp = y0 * (j * (y3 * y5))
    else if (y <= 7d-210) then
        tmp = t_1
    else if (y <= 4.9d+52) then
        tmp = (j * y0) * (y3 * y5)
    else
        tmp = a * ((x * y) * b)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = i * (j * (x * y1));
	double tmp;
	if (y <= -3.8e+164) {
		tmp = b * ((x * y) * a);
	} else if (y <= -1.06e-159) {
		tmp = t_1;
	} else if (y <= -8.8e-277) {
		tmp = y0 * (j * (y3 * y5));
	} else if (y <= 7e-210) {
		tmp = t_1;
	} else if (y <= 4.9e+52) {
		tmp = (j * y0) * (y3 * y5);
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = i * (j * (x * y1))
	tmp = 0
	if y <= -3.8e+164:
		tmp = b * ((x * y) * a)
	elif y <= -1.06e-159:
		tmp = t_1
	elif y <= -8.8e-277:
		tmp = y0 * (j * (y3 * y5))
	elif y <= 7e-210:
		tmp = t_1
	elif y <= 4.9e+52:
		tmp = (j * y0) * (y3 * y5)
	else:
		tmp = a * ((x * y) * b)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(i * Float64(j * Float64(x * y1)))
	tmp = 0.0
	if (y <= -3.8e+164)
		tmp = Float64(b * Float64(Float64(x * y) * a));
	elseif (y <= -1.06e-159)
		tmp = t_1;
	elseif (y <= -8.8e-277)
		tmp = Float64(y0 * Float64(j * Float64(y3 * y5)));
	elseif (y <= 7e-210)
		tmp = t_1;
	elseif (y <= 4.9e+52)
		tmp = Float64(Float64(j * y0) * Float64(y3 * y5));
	else
		tmp = Float64(a * Float64(Float64(x * y) * b));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = i * (j * (x * y1));
	tmp = 0.0;
	if (y <= -3.8e+164)
		tmp = b * ((x * y) * a);
	elseif (y <= -1.06e-159)
		tmp = t_1;
	elseif (y <= -8.8e-277)
		tmp = y0 * (j * (y3 * y5));
	elseif (y <= 7e-210)
		tmp = t_1;
	elseif (y <= 4.9e+52)
		tmp = (j * y0) * (y3 * y5);
	else
		tmp = a * ((x * y) * b);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, If[LessEqual[y, -3.8e+164], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, -1.06e-159], t$95$1, If[LessEqual[y, -8.8e-277], N[(y0 * N[(j * N[(y3 * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 7e-210], t$95$1, If[LessEqual[y, 4.9e+52], N[(N[(j * y0), $MachinePrecision] * N[(y3 * y5), $MachinePrecision]), $MachinePrecision], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]]]]]]]

Derivation

1. Split input into 5 regimes

2. if y < -3.80000000000000021e164

   1. Initial program 15.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 46.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 46.5%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 46.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 50.5%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y\right)\right)} \]

   if -3.80000000000000021e164 < y < -1.06e-159 or -8.79999999999999983e-277 < y < 7.00000000000000031e-210

   1. Initial program 32.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 41.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 41.0%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 41.0%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 41.0%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 30.5%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 30.5%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 28.3%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 28.3%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 28.3%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around 0 28.4%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]

   if -1.06e-159 < y < -8.79999999999999983e-277

   1. Initial program 51.7%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 55.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 55.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 55.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 55.9%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 55.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 55.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 55.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 55.9%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 55.9%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 46.2%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 46.2%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 46.2%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 46.2%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 46.2%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 46.2%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 42.4%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5\right)\right)} \]

   if 7.00000000000000031e-210 < y < 4.89999999999999997e52

   1. Initial program 31.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 43.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 43.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 43.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 43.7%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 43.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 43.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 43.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 43.7%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 43.7%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in j around -inf 21.0%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(-1 \cdot \left(b \cdot x\right) + y3 \cdot y5\right)\right)} \]
   6. Step-by-step derivation

      1. +-commutative 21.0%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 + -1 \cdot \left(b \cdot x\right)\right)}\right) \]

      2. mul-1-neg 21.0%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 + \color{blue}{\left(-b \cdot x\right)}\right)\right) \]

      3. unsub-neg 21.0%

         \[\leadsto y0 \cdot \left(j \cdot \color{blue}{\left(y3 \cdot y5 - b \cdot x\right)}\right) \]

      4. *-commutative 21.0%

         \[\leadsto y0 \cdot \left(j \cdot \left(y3 \cdot y5 - \color{blue}{x \cdot b}\right)\right) \]

   7. Simplified 21.0%

      \[\leadsto y0 \cdot \color{blue}{\left(j \cdot \left(y3 \cdot y5 - x \cdot b\right)\right)} \]

   8. Taylor expanded in y3 around inf 18.3%

      \[\leadsto \color{blue}{j \cdot \left(y0 \cdot \left(y3 \cdot y5\right)\right)} \]
   9. Step-by-step derivation

      1. associate-*r* 21.4%

         \[\leadsto \color{blue}{\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)} \]

      2. *-commutative 21.4%

         \[\leadsto \color{blue}{\left(y0 \cdot j\right)} \cdot \left(y3 \cdot y5\right) \]

   10. Simplified 21.4%

       \[\leadsto \color{blue}{\left(y0 \cdot j\right) \cdot \left(y3 \cdot y5\right)} \]

   if 4.89999999999999997e52 < y

   1. Initial program 26.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 40.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 38.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 38.9%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 38.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 40.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 5 regimes into one program.

4. Final simplification 33.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -3.8 \cdot 10^{+164}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y \leq -1.06 \cdot 10^{-159}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq -8.8 \cdot 10^{-277}:\\ \;\;\;\;y0 \cdot \left(j \cdot \left(y3 \cdot y5\right)\right)\\ \mathbf{elif}\;y \leq 7 \cdot 10^{-210}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{elif}\;y \leq 4.9 \cdot 10^{+52}:\\ \;\;\;\;\left(j \cdot y0\right) \cdot \left(y3 \cdot y5\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]

Alternative 35: 30.4% accurate, 5.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y1 \leq -4.5 \cdot 10^{+109}:\\ \;\;\;\;k \cdot \left(i \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.6 \cdot 10^{+33}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq 9.5 \cdot 10^{-104}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y1 -4.5e+109)
   (* k (* i (* z (- y1))))
   (if (<= y1 -1.6e+33)
     (* b (* y0 (- (* z k) (* x j))))
     (if (<= y1 9.5e-104)
       (* c (* y0 (- (* x y2) (* z y3))))
       (* i (* y1 (- (* x j) (* z k))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= -4.5e+109) {
		tmp = k * (i * (z * -y1));
	} else if (y1 <= -1.6e+33) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y1 <= 9.5e-104) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = i * (y1 * ((x * j) - (z * k)));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y1 <= (-4.5d+109)) then
        tmp = k * (i * (z * -y1))
    else if (y1 <= (-1.6d+33)) then
        tmp = b * (y0 * ((z * k) - (x * j)))
    else if (y1 <= 9.5d-104) then
        tmp = c * (y0 * ((x * y2) - (z * y3)))
    else
        tmp = i * (y1 * ((x * j) - (z * k)))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y1 <= -4.5e+109) {
		tmp = k * (i * (z * -y1));
	} else if (y1 <= -1.6e+33) {
		tmp = b * (y0 * ((z * k) - (x * j)));
	} else if (y1 <= 9.5e-104) {
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	} else {
		tmp = i * (y1 * ((x * j) - (z * k)));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y1 <= -4.5e+109:
		tmp = k * (i * (z * -y1))
	elif y1 <= -1.6e+33:
		tmp = b * (y0 * ((z * k) - (x * j)))
	elif y1 <= 9.5e-104:
		tmp = c * (y0 * ((x * y2) - (z * y3)))
	else:
		tmp = i * (y1 * ((x * j) - (z * k)))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y1 <= -4.5e+109)
		tmp = Float64(k * Float64(i * Float64(z * Float64(-y1))));
	elseif (y1 <= -1.6e+33)
		tmp = Float64(b * Float64(y0 * Float64(Float64(z * k) - Float64(x * j))));
	elseif (y1 <= 9.5e-104)
		tmp = Float64(c * Float64(y0 * Float64(Float64(x * y2) - Float64(z * y3))));
	else
		tmp = Float64(i * Float64(y1 * Float64(Float64(x * j) - Float64(z * k))));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y1 <= -4.5e+109)
		tmp = k * (i * (z * -y1));
	elseif (y1 <= -1.6e+33)
		tmp = b * (y0 * ((z * k) - (x * j)));
	elseif (y1 <= 9.5e-104)
		tmp = c * (y0 * ((x * y2) - (z * y3)));
	else
		tmp = i * (y1 * ((x * j) - (z * k)));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y1, -4.5e+109], N[(k * N[(i * N[(z * (-y1)), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, -1.6e+33], N[(b * N[(y0 * N[(N[(z * k), $MachinePrecision] - N[(x * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[LessEqual[y1, 9.5e-104], N[(c * N[(y0 * N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(i * N[(y1 * N[(N[(x * j), $MachinePrecision] - N[(z * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]]]

Derivation

1. Split input into 4 regimes

2. if y1 < -4.4999999999999996e109

   1. Initial program 24.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 48.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 48.2%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 48.2%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 48.2%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 48.2%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 48.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 38.3%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 38.3%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 40.4%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 40.4%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 40.4%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around inf 40.2%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   9. Step-by-step derivation

      1. mul-1-neg 40.2%

         \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

      2. *-commutative 40.2%

         \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

      3. distribute-rgt-neg-in 40.2%

         \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

      4. *-commutative 40.2%

         \[\leadsto \left(k \cdot \color{blue}{\left(z \cdot y1\right)}\right) \cdot \left(-i\right) \]

   10. Simplified 40.2%

       \[\leadsto \color{blue}{\left(k \cdot \left(z \cdot y1\right)\right) \cdot \left(-i\right)} \]

   11. Taylor expanded in k around 0 40.2%

       \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)\right)} \]
   12. Step-by-step derivation

       1. mul-1-neg 40.2%

          \[\leadsto \color{blue}{-i \cdot \left(k \cdot \left(y1 \cdot z\right)\right)} \]

       2. *-commutative 40.2%

          \[\leadsto -\color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot i} \]

       3. distribute-rgt-neg-in 40.2%

          \[\leadsto \color{blue}{\left(k \cdot \left(y1 \cdot z\right)\right) \cdot \left(-i\right)} \]

       4. associate-*r* 42.2%

          \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   13. Simplified 42.2%

       \[\leadsto \color{blue}{k \cdot \left(\left(y1 \cdot z\right) \cdot \left(-i\right)\right)} \]

   if -4.4999999999999996e109 < y1 < -1.60000000000000009e33

   1. Initial program 38.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 57.7%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in y0 around inf 53.3%

      \[\leadsto \color{blue}{b \cdot \left(y0 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

   if -1.60000000000000009e33 < y1 < 9.5000000000000002e-104

   1. Initial program 34.5%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y0 around inf 39.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(-1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) + c \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
   3. Step-by-step derivation

      1. +-commutative 39.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + -1 \cdot \left(y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      2. mul-1-neg 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) + \color{blue}{\left(-y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)}\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      3. unsub-neg 39.3%

         \[\leadsto y0 \cdot \left(\color{blue}{\left(c \cdot \left(x \cdot y2 - y3 \cdot z\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right)} - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      4. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      5. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - j \cdot y3\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      6. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - \color{blue}{y3 \cdot j}\right)\right) - b \cdot \left(j \cdot x - k \cdot z\right)\right) \]

      7. *-commutative 39.3%

         \[\leadsto y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right) \]

   4. Simplified 39.3%

      \[\leadsto \color{blue}{y0 \cdot \left(\left(c \cdot \left(y2 \cdot x - z \cdot y3\right) - y5 \cdot \left(k \cdot y2 - y3 \cdot j\right)\right) - b \cdot \left(j \cdot x - z \cdot k\right)\right)} \]

   5. Taylor expanded in c around inf 34.7%

      \[\leadsto \color{blue}{c \cdot \left(y0 \cdot \left(x \cdot y2 - y3 \cdot z\right)\right)} \]

   if 9.5000000000000002e-104 < y1

   1. Initial program 28.0%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 51.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 51.2%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 51.2%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 51.2%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 51.2%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 51.2%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around -inf 35.5%

      \[\leadsto \color{blue}{i \cdot \left(y1 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]
3. Recombined 4 regimes into one program.

4. Final simplification 37.8%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y1 \leq -4.5 \cdot 10^{+109}:\\ \;\;\;\;k \cdot \left(i \cdot \left(z \cdot \left(-y1\right)\right)\right)\\ \mathbf{elif}\;y1 \leq -1.6 \cdot 10^{+33}:\\ \;\;\;\;b \cdot \left(y0 \cdot \left(z \cdot k - x \cdot j\right)\right)\\ \mathbf{elif}\;y1 \leq 9.5 \cdot 10^{-104}:\\ \;\;\;\;c \cdot \left(y0 \cdot \left(x \cdot y2 - z \cdot y3\right)\right)\\ \mathbf{else}:\\ \;\;\;\;i \cdot \left(y1 \cdot \left(x \cdot j - z \cdot k\right)\right)\\ \end{array} \]

Alternative 36: 22.5% accurate, 8.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;y \leq -1.45 \cdot 10^{+166}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y \leq 1.15 \cdot 10^{+53}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= y -1.45e+166)
   (* b (* (* x y) a))
   (if (<= y 1.15e+53) (* i (* j (* x y1))) (* a (* (* x y) b)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -1.45e+166) {
		tmp = b * ((x * y) * a);
	} else if (y <= 1.15e+53) {
		tmp = i * (j * (x * y1));
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (y <= (-1.45d+166)) then
        tmp = b * ((x * y) * a)
    else if (y <= 1.15d+53) then
        tmp = i * (j * (x * y1))
    else
        tmp = a * ((x * y) * b)
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (y <= -1.45e+166) {
		tmp = b * ((x * y) * a);
	} else if (y <= 1.15e+53) {
		tmp = i * (j * (x * y1));
	} else {
		tmp = a * ((x * y) * b);
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if y <= -1.45e+166:
		tmp = b * ((x * y) * a)
	elif y <= 1.15e+53:
		tmp = i * (j * (x * y1))
	else:
		tmp = a * ((x * y) * b)
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (y <= -1.45e+166)
		tmp = Float64(b * Float64(Float64(x * y) * a));
	elseif (y <= 1.15e+53)
		tmp = Float64(i * Float64(j * Float64(x * y1)));
	else
		tmp = Float64(a * Float64(Float64(x * y) * b));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (y <= -1.45e+166)
		tmp = b * ((x * y) * a);
	elseif (y <= 1.15e+53)
		tmp = i * (j * (x * y1));
	else
		tmp = a * ((x * y) * b);
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[y, -1.45e+166], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision], If[LessEqual[y, 1.15e+53], N[(i * N[(j * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]]]

Derivation

1. Split input into 3 regimes

2. if y < -1.4500000000000001e166

   1. Initial program 15.6%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 33.6%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 46.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 46.5%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 46.5%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 50.5%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y\right)\right)} \]

   if -1.4500000000000001e166 < y < 1.1500000000000001e53

   1. Initial program 35.1%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in y1 around inf 40.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right)\right) - -1 \cdot \left(i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]
   3. Step-by-step derivation

      1. distribute-lft-out-- 40.7%

         \[\leadsto y1 \cdot \color{blue}{\left(-1 \cdot \left(a \cdot \left(x \cdot y2 - y3 \cdot z\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      2. *-commutative 40.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(x \cdot y2 - \color{blue}{z \cdot y3}\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      3. *-commutative 40.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(\color{blue}{y2 \cdot x} - z \cdot y3\right) - i \cdot \left(j \cdot x - k \cdot z\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

      4. *-commutative 40.7%

         \[\leadsto y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - \color{blue}{z \cdot k}\right)\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   4. Simplified 40.7%

      \[\leadsto \color{blue}{y1 \cdot \left(-1 \cdot \left(a \cdot \left(y2 \cdot x - z \cdot y3\right) - i \cdot \left(j \cdot x - z \cdot k\right)\right)\right)} + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   5. Taylor expanded in i around inf 23.7%

      \[\leadsto \color{blue}{-1 \cdot \left(i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)\right)} \]
   6. Step-by-step derivation

      1. mul-1-neg 23.7%

         \[\leadsto \color{blue}{-i \cdot \left(y1 \cdot \left(k \cdot z - j \cdot x\right)\right)} \]

      2. associate-*r* 23.2%

         \[\leadsto -\color{blue}{\left(i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

      3. distribute-lft-neg-in 23.2%

         \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   7. Simplified 23.2%

      \[\leadsto \color{blue}{\left(-i \cdot y1\right) \cdot \left(k \cdot z - j \cdot x\right)} \]

   8. Taylor expanded in k around 0 19.8%

      \[\leadsto \color{blue}{i \cdot \left(j \cdot \left(x \cdot y1\right)\right)} \]

   if 1.1500000000000001e53 < y

   1. Initial program 26.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 40.0%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 38.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 38.9%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 38.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 40.7%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
3. Recombined 3 regimes into one program.

4. Final simplification 27.2%

   \[\leadsto \begin{array}{l} \mathbf{if}\;y \leq -1.45 \cdot 10^{+166}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{elif}\;y \leq 1.15 \cdot 10^{+53}:\\ \;\;\;\;i \cdot \left(j \cdot \left(x \cdot y1\right)\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(\left(x \cdot y\right) \cdot b\right)\\ \end{array} \]

Alternative 37: 17.3% accurate, 10.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;a \leq -1.7 \cdot 10^{-264}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= a -1.7e-264) (* b (* (* x y) a)) (* a (* y (* x b)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (a <= -1.7e-264) {
		tmp = b * ((x * y) * a);
	} else {
		tmp = a * (y * (x * b));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (a <= (-1.7d-264)) then
        tmp = b * ((x * y) * a)
    else
        tmp = a * (y * (x * b))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (a <= -1.7e-264) {
		tmp = b * ((x * y) * a);
	} else {
		tmp = a * (y * (x * b));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if a <= -1.7e-264:
		tmp = b * ((x * y) * a)
	else:
		tmp = a * (y * (x * b))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (a <= -1.7e-264)
		tmp = Float64(b * Float64(Float64(x * y) * a));
	else
		tmp = Float64(a * Float64(y * Float64(x * b)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (a <= -1.7e-264)
		tmp = b * ((x * y) * a);
	else
		tmp = a * (y * (x * b));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[a, -1.7e-264], N[(b * N[(N[(x * y), $MachinePrecision] * a), $MachinePrecision]), $MachinePrecision], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if a < -1.6999999999999999e-264

   1. Initial program 31.4%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 32.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 26.2%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 26.2%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 26.2%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 23.9%

      \[\leadsto b \cdot \color{blue}{\left(a \cdot \left(x \cdot y\right)\right)} \]

   if -1.6999999999999999e-264 < a

   1. Initial program 31.2%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 36.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 21.7%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 21.7%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 21.7%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 15.9%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. expm1-log1p-u 8.5%

         \[\leadsto a \cdot \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(b \cdot \left(x \cdot y\right)\right)\right)} \]

      2. expm1-udef 8.5%

         \[\leadsto a \cdot \color{blue}{\left(e^{\mathsf{log1p}\left(b \cdot \left(x \cdot y\right)\right)} - 1\right)} \]

   8. Applied egg-rr 8.5%

      \[\leadsto a \cdot \color{blue}{\left(e^{\mathsf{log1p}\left(b \cdot \left(x \cdot y\right)\right)} - 1\right)} \]
   9. Step-by-step derivation

      1. expm1-def 8.5%

         \[\leadsto a \cdot \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(b \cdot \left(x \cdot y\right)\right)\right)} \]

      2. expm1-log1p 15.9%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]

      3. *-commutative 15.9%

         \[\leadsto a \cdot \color{blue}{\left(\left(x \cdot y\right) \cdot b\right)} \]

      4. *-commutative 15.9%

         \[\leadsto a \cdot \left(\color{blue}{\left(y \cdot x\right)} \cdot b\right) \]

      5. associate-*l* 18.7%

         \[\leadsto a \cdot \color{blue}{\left(y \cdot \left(x \cdot b\right)\right)} \]

   10. Simplified 18.7%

       \[\leadsto a \cdot \color{blue}{\left(y \cdot \left(x \cdot b\right)\right)} \]
3. Recombined 2 regimes into one program.

4. Final simplification 21.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;a \leq -1.7 \cdot 10^{-264}:\\ \;\;\;\;b \cdot \left(\left(x \cdot y\right) \cdot a\right)\\ \mathbf{else}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \end{array} \]

Alternative 38: 18.5% accurate, 10.5× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} \mathbf{if}\;b \leq -2 \cdot 10^{-35}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a\right)\right)\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (if (<= b -2e-35) (* a (* y (* x b))) (* b (* x (* y a)))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (b <= -2e-35) {
		tmp = a * (y * (x * b));
	} else {
		tmp = b * (x * (y * a));
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: tmp
    if (b <= (-2d-35)) then
        tmp = a * (y * (x * b))
    else
        tmp = b * (x * (y * a))
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double tmp;
	if (b <= -2e-35) {
		tmp = a * (y * (x * b));
	} else {
		tmp = b * (x * (y * a));
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	tmp = 0
	if b <= -2e-35:
		tmp = a * (y * (x * b))
	else:
		tmp = b * (x * (y * a))
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0
	if (b <= -2e-35)
		tmp = Float64(a * Float64(y * Float64(x * b)));
	else
		tmp = Float64(b * Float64(x * Float64(y * a)));
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = 0.0;
	if (b <= -2e-35)
		tmp = a * (y * (x * b));
	else
		tmp = b * (x * (y * a));
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := If[LessEqual[b, -2e-35], N[(a * N[(y * N[(x * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], N[(b * N[(x * N[(y * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]]

Derivation

1. Split input into 2 regimes

2. if b < -2.00000000000000002e-35

   1. Initial program 29.9%

      \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

   2. Taylor expanded in b around inf 46.9%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 25.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 25.9%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 25.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 24.6%

      \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]
   7. Step-by-step derivation

      1. expm1-log1p-u 13.9%

         \[\leadsto a \cdot \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(b \cdot \left(x \cdot y\right)\right)\right)} \]

      2. expm1-udef 13.9%

         \[\leadsto a \cdot \color{blue}{\left(e^{\mathsf{log1p}\left(b \cdot \left(x \cdot y\right)\right)} - 1\right)} \]

   8. Applied egg-rr 13.9%

      \[\leadsto a \cdot \color{blue}{\left(e^{\mathsf{log1p}\left(b \cdot \left(x \cdot y\right)\right)} - 1\right)} \]
   9. Step-by-step derivation

      1. expm1-def 13.9%

         \[\leadsto a \cdot \color{blue}{\mathsf{expm1}\left(\mathsf{log1p}\left(b \cdot \left(x \cdot y\right)\right)\right)} \]

      2. expm1-log1p 24.6%

         \[\leadsto a \cdot \color{blue}{\left(b \cdot \left(x \cdot y\right)\right)} \]

      3. *-commutative 24.6%

         \[\leadsto a \cdot \color{blue}{\left(\left(x \cdot y\right) \cdot b\right)} \]

      4. *-commutative 24.6%

         \[\leadsto a \cdot \left(\color{blue}{\left(y \cdot x\right)} \cdot b\right) \]

      5. associate-*l* 28.4%

         \[\leadsto a \cdot \color{blue}{\left(y \cdot \left(x \cdot b\right)\right)} \]

   10. Simplified 28.4%

       \[\leadsto a \cdot \color{blue}{\left(y \cdot \left(x \cdot b\right)\right)} \]

   if -2.00000000000000002e-35 < b

   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. Taylor expanded in b around inf 29.8%

      \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

   3. Taylor expanded in x around inf 22.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
   4. Step-by-step derivation

      1. *-commutative 22.9%

         \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

   5. Simplified 22.9%

      \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

   6. Taylor expanded in a around inf 17.9%

      \[\leadsto b \cdot \left(x \cdot \color{blue}{\left(a \cdot y\right)}\right) \]
3. Recombined 2 regimes into one program.

4. Final simplification 21.1%

   \[\leadsto \begin{array}{l} \mathbf{if}\;b \leq -2 \cdot 10^{-35}:\\ \;\;\;\;a \cdot \left(y \cdot \left(x \cdot b\right)\right)\\ \mathbf{else}:\\ \;\;\;\;b \cdot \left(x \cdot \left(y \cdot a\right)\right)\\ \end{array} \]

Alternative 39: 17.1% accurate, 13.6× speedup

Math

\[\begin{array}{l} \\ a \cdot \left(\left(x \cdot y\right) \cdot b\right) \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (* a (* (* x y) b)))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * ((x * y) * b);
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    code = a * ((x * y) * b)
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	return a * ((x * y) * b);
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	return a * ((x * y) * b)

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	return Float64(a * Float64(Float64(x * y) * b))
end

MATLAB

function tmp = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	tmp = a * ((x * y) * b);
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := N[(a * N[(N[(x * y), $MachinePrecision] * b), $MachinePrecision]), $MachinePrecision]

Derivation

1. Initial program 31.3%

   \[\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(x \cdot j - z \cdot k\right) \cdot \left(y0 \cdot b - y1 \cdot i\right)\right) + \left(x \cdot y2 - z \cdot y3\right) \cdot \left(y0 \cdot c - y1 \cdot a\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot \left(y4 \cdot b - y5 \cdot i\right)\right) - \left(t \cdot y2 - y \cdot y3\right) \cdot \left(y4 \cdot c - y5 \cdot a\right)\right) + \left(k \cdot y2 - j \cdot y3\right) \cdot \left(y4 \cdot y1 - y5 \cdot y0\right) \]

2. Taylor expanded in b around inf 35.0%

   \[\leadsto \color{blue}{b \cdot \left(\left(a \cdot \left(x \cdot y - t \cdot z\right) + y4 \cdot \left(j \cdot t - k \cdot y\right)\right) - y0 \cdot \left(j \cdot x - k \cdot z\right)\right)} \]

3. Taylor expanded in x around inf 23.8%

   \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - j \cdot y0\right)\right)} \]
4. Step-by-step derivation

   1. *-commutative 23.8%

      \[\leadsto b \cdot \left(x \cdot \left(a \cdot y - \color{blue}{y0 \cdot j}\right)\right) \]

5. Simplified 23.8%

   \[\leadsto \color{blue}{b \cdot \left(x \cdot \left(a \cdot y - y0 \cdot j\right)\right)} \]

6. Taylor expanded in a around inf 19.2%

   \[\leadsto \color{blue}{a \cdot \left(b \cdot \left(x \cdot y\right)\right)} \]

7. Final simplification 19.2%

   \[\leadsto a \cdot \left(\left(x \cdot y\right) \cdot b\right) \]

Developer target: 27.9% accurate, 0.8× speedup

Math

\[\begin{array}{l} \\ \begin{array}{l} t_1 := y4 \cdot c - y5 \cdot a\\ t_2 := x \cdot y2 - z \cdot y3\\ t_3 := y2 \cdot t - y3 \cdot y\\ t_4 := k \cdot y2 - j \cdot y3\\ t_5 := y4 \cdot b - y5 \cdot i\\ t_6 := \left(j \cdot t - k \cdot y\right) \cdot t_5\\ t_7 := b \cdot a - i \cdot c\\ t_8 := t_7 \cdot \left(y \cdot x - t \cdot z\right)\\ t_9 := j \cdot x - k \cdot z\\ t_10 := \left(b \cdot y0 - i \cdot y1\right) \cdot t_9\\ t_11 := t_9 \cdot \left(y0 \cdot b - i \cdot y1\right)\\ t_12 := y4 \cdot y1 - y5 \cdot y0\\ t_13 := t_4 \cdot t_12\\ t_14 := \left(y2 \cdot k - y3 \cdot j\right) \cdot t_12\\ t_15 := \left(\left(\left(\left(k \cdot y\right) \cdot \left(y5 \cdot i\right) - \left(y \cdot b\right) \cdot \left(y4 \cdot k\right)\right) - \left(y5 \cdot t\right) \cdot \left(i \cdot j\right)\right) - \left(t_3 \cdot t_1 - t_14\right)\right) + \left(t_8 - \left(t_11 - \left(y2 \cdot x - y3 \cdot z\right) \cdot \left(c \cdot y0 - y1 \cdot a\right)\right)\right)\\ t_16 := \left(\left(t_6 - \left(y3 \cdot y\right) \cdot \left(y5 \cdot a - y4 \cdot c\right)\right) + \left(\left(y5 \cdot a\right) \cdot \left(t \cdot y2\right) + t_13\right)\right) + \left(t_2 \cdot \left(c \cdot y0 - a \cdot y1\right) - \left(t_10 - \left(y \cdot x - z \cdot t\right) \cdot t_7\right)\right)\\ t_17 := t \cdot y2 - y \cdot y3\\ \mathbf{if}\;y4 < -7.206256231996481 \cdot 10^{+60}:\\ \;\;\;\;\left(t_8 - \left(t_11 - t_6\right)\right) - \left(\frac{t_3}{\frac{1}{t_1}} - t_14\right)\\ \mathbf{elif}\;y4 < -3.364603505246317 \cdot 10^{-66}:\\ \;\;\;\;\left(\left(\left(\left(t \cdot c\right) \cdot \left(i \cdot z\right) - \left(a \cdot t\right) \cdot \left(b \cdot z\right)\right) - \left(y \cdot c\right) \cdot \left(i \cdot x\right)\right) - t_10\right) + \left(\left(y0 \cdot c - a \cdot y1\right) \cdot t_2 - \left(t_17 \cdot \left(y4 \cdot c - a \cdot y5\right) - \left(y1 \cdot y4 - y5 \cdot y0\right) \cdot t_4\right)\right)\\ \mathbf{elif}\;y4 < -1.2000065055686116 \cdot 10^{-105}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 6.718963124057495 \cdot 10^{-279}:\\ \;\;\;\;t_15\\ \mathbf{elif}\;y4 < 4.77962681403792 \cdot 10^{-222}:\\ \;\;\;\;t_16\\ \mathbf{elif}\;y4 < 2.2852241541266835 \cdot 10^{-175}:\\ \;\;\;\;t_15\\ \mathbf{else}:\\ \;\;\;\;\left(\left(\left(\left(\left(x \cdot y - z \cdot t\right) \cdot \left(a \cdot b - c \cdot i\right) - \left(k \cdot \left(i \cdot \left(z \cdot y1\right)\right) - \left(j \cdot \left(i \cdot \left(x \cdot y1\right)\right) + y0 \cdot \left(k \cdot \left(z \cdot b\right)\right)\right)\right)\right) + \left(z \cdot \left(y3 \cdot \left(a \cdot y1\right)\right) - \left(y2 \cdot \left(x \cdot \left(a \cdot y1\right)\right) + y0 \cdot \left(z \cdot \left(c \cdot y3\right)\right)\right)\right)\right) + \left(t \cdot j - y \cdot k\right) \cdot t_5\right) - t_17 \cdot t_1\right) + t_13\\ \end{array} \end{array} \]

FPCore

(FPCore (x y z t a b c i j k y0 y1 y2 y3 y4 y5)
 :precision binary64
 (let* ((t_1 (- (* y4 c) (* y5 a)))
        (t_2 (- (* x y2) (* z y3)))
        (t_3 (- (* y2 t) (* y3 y)))
        (t_4 (- (* k y2) (* j y3)))
        (t_5 (- (* y4 b) (* y5 i)))
        (t_6 (* (- (* j t) (* k y)) t_5))
        (t_7 (- (* b a) (* i c)))
        (t_8 (* t_7 (- (* y x) (* t z))))
        (t_9 (- (* j x) (* k z)))
        (t_10 (* (- (* b y0) (* i y1)) t_9))
        (t_11 (* t_9 (- (* y0 b) (* i y1))))
        (t_12 (- (* y4 y1) (* y5 y0)))
        (t_13 (* t_4 t_12))
        (t_14 (* (- (* y2 k) (* y3 j)) t_12))
        (t_15
         (+
          (-
           (-
            (- (* (* k y) (* y5 i)) (* (* y b) (* y4 k)))
            (* (* y5 t) (* i j)))
           (- (* t_3 t_1) t_14))
          (- t_8 (- t_11 (* (- (* y2 x) (* y3 z)) (- (* c y0) (* y1 a)))))))
        (t_16
         (+
          (+
           (- t_6 (* (* y3 y) (- (* y5 a) (* y4 c))))
           (+ (* (* y5 a) (* t y2)) t_13))
          (-
           (* t_2 (- (* c y0) (* a y1)))
           (- t_10 (* (- (* y x) (* z t)) t_7)))))
        (t_17 (- (* t y2) (* y y3))))
   (if (< y4 -7.206256231996481e+60)
     (- (- t_8 (- t_11 t_6)) (- (/ t_3 (/ 1.0 t_1)) t_14))
     (if (< y4 -3.364603505246317e-66)
       (+
        (-
         (- (- (* (* t c) (* i z)) (* (* a t) (* b z))) (* (* y c) (* i x)))
         t_10)
        (-
         (* (- (* y0 c) (* a y1)) t_2)
         (- (* t_17 (- (* y4 c) (* a y5))) (* (- (* y1 y4) (* y5 y0)) t_4))))
       (if (< y4 -1.2000065055686116e-105)
         t_16
         (if (< y4 6.718963124057495e-279)
           t_15
           (if (< y4 4.77962681403792e-222)
             t_16
             (if (< y4 2.2852241541266835e-175)
               t_15
               (+
                (-
                 (+
                  (+
                   (-
                    (* (- (* x y) (* z t)) (- (* a b) (* c i)))
                    (-
                     (* k (* i (* z y1)))
                     (+ (* j (* i (* x y1))) (* y0 (* k (* z b))))))
                   (-
                    (* z (* y3 (* a y1)))
                    (+ (* y2 (* x (* a y1))) (* y0 (* z (* c y3))))))
                  (* (- (* t j) (* y k)) t_5))
                 (* t_17 t_1))
                t_13)))))))))

C

double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Fortran

real(8) function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
    real(8), intent (in) :: x
    real(8), intent (in) :: y
    real(8), intent (in) :: z
    real(8), intent (in) :: t
    real(8), intent (in) :: a
    real(8), intent (in) :: b
    real(8), intent (in) :: c
    real(8), intent (in) :: i
    real(8), intent (in) :: j
    real(8), intent (in) :: k
    real(8), intent (in) :: y0
    real(8), intent (in) :: y1
    real(8), intent (in) :: y2
    real(8), intent (in) :: y3
    real(8), intent (in) :: y4
    real(8), intent (in) :: y5
    real(8) :: t_1
    real(8) :: t_10
    real(8) :: t_11
    real(8) :: t_12
    real(8) :: t_13
    real(8) :: t_14
    real(8) :: t_15
    real(8) :: t_16
    real(8) :: t_17
    real(8) :: t_2
    real(8) :: t_3
    real(8) :: t_4
    real(8) :: t_5
    real(8) :: t_6
    real(8) :: t_7
    real(8) :: t_8
    real(8) :: t_9
    real(8) :: tmp
    t_1 = (y4 * c) - (y5 * a)
    t_2 = (x * y2) - (z * y3)
    t_3 = (y2 * t) - (y3 * y)
    t_4 = (k * y2) - (j * y3)
    t_5 = (y4 * b) - (y5 * i)
    t_6 = ((j * t) - (k * y)) * t_5
    t_7 = (b * a) - (i * c)
    t_8 = t_7 * ((y * x) - (t * z))
    t_9 = (j * x) - (k * z)
    t_10 = ((b * y0) - (i * y1)) * t_9
    t_11 = t_9 * ((y0 * b) - (i * y1))
    t_12 = (y4 * y1) - (y5 * y0)
    t_13 = t_4 * t_12
    t_14 = ((y2 * k) - (y3 * j)) * t_12
    t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
    t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
    t_17 = (t * y2) - (y * y3)
    if (y4 < (-7.206256231996481d+60)) then
        tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0d0 / t_1)) - t_14)
    else if (y4 < (-3.364603505246317d-66)) then
        tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
    else if (y4 < (-1.2000065055686116d-105)) then
        tmp = t_16
    else if (y4 < 6.718963124057495d-279) then
        tmp = t_15
    else if (y4 < 4.77962681403792d-222) then
        tmp = t_16
    else if (y4 < 2.2852241541266835d-175) then
        tmp = t_15
    else
        tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
    end if
    code = tmp
end function

Java

public static double code(double x, double y, double z, double t, double a, double b, double c, double i, double j, double k, double y0, double y1, double y2, double y3, double y4, double y5) {
	double t_1 = (y4 * c) - (y5 * a);
	double t_2 = (x * y2) - (z * y3);
	double t_3 = (y2 * t) - (y3 * y);
	double t_4 = (k * y2) - (j * y3);
	double t_5 = (y4 * b) - (y5 * i);
	double t_6 = ((j * t) - (k * y)) * t_5;
	double t_7 = (b * a) - (i * c);
	double t_8 = t_7 * ((y * x) - (t * z));
	double t_9 = (j * x) - (k * z);
	double t_10 = ((b * y0) - (i * y1)) * t_9;
	double t_11 = t_9 * ((y0 * b) - (i * y1));
	double t_12 = (y4 * y1) - (y5 * y0);
	double t_13 = t_4 * t_12;
	double t_14 = ((y2 * k) - (y3 * j)) * t_12;
	double t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	double t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	double t_17 = (t * y2) - (y * y3);
	double tmp;
	if (y4 < -7.206256231996481e+60) {
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	} else if (y4 < -3.364603505246317e-66) {
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	} else if (y4 < -1.2000065055686116e-105) {
		tmp = t_16;
	} else if (y4 < 6.718963124057495e-279) {
		tmp = t_15;
	} else if (y4 < 4.77962681403792e-222) {
		tmp = t_16;
	} else if (y4 < 2.2852241541266835e-175) {
		tmp = t_15;
	} else {
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	}
	return tmp;
}

Python

def code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5):
	t_1 = (y4 * c) - (y5 * a)
	t_2 = (x * y2) - (z * y3)
	t_3 = (y2 * t) - (y3 * y)
	t_4 = (k * y2) - (j * y3)
	t_5 = (y4 * b) - (y5 * i)
	t_6 = ((j * t) - (k * y)) * t_5
	t_7 = (b * a) - (i * c)
	t_8 = t_7 * ((y * x) - (t * z))
	t_9 = (j * x) - (k * z)
	t_10 = ((b * y0) - (i * y1)) * t_9
	t_11 = t_9 * ((y0 * b) - (i * y1))
	t_12 = (y4 * y1) - (y5 * y0)
	t_13 = t_4 * t_12
	t_14 = ((y2 * k) - (y3 * j)) * t_12
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))))
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)))
	t_17 = (t * y2) - (y * y3)
	tmp = 0
	if y4 < -7.206256231996481e+60:
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14)
	elif y4 < -3.364603505246317e-66:
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)))
	elif y4 < -1.2000065055686116e-105:
		tmp = t_16
	elif y4 < 6.718963124057495e-279:
		tmp = t_15
	elif y4 < 4.77962681403792e-222:
		tmp = t_16
	elif y4 < 2.2852241541266835e-175:
		tmp = t_15
	else:
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13
	return tmp

Julia

function code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = Float64(Float64(y4 * c) - Float64(y5 * a))
	t_2 = Float64(Float64(x * y2) - Float64(z * y3))
	t_3 = Float64(Float64(y2 * t) - Float64(y3 * y))
	t_4 = Float64(Float64(k * y2) - Float64(j * y3))
	t_5 = Float64(Float64(y4 * b) - Float64(y5 * i))
	t_6 = Float64(Float64(Float64(j * t) - Float64(k * y)) * t_5)
	t_7 = Float64(Float64(b * a) - Float64(i * c))
	t_8 = Float64(t_7 * Float64(Float64(y * x) - Float64(t * z)))
	t_9 = Float64(Float64(j * x) - Float64(k * z))
	t_10 = Float64(Float64(Float64(b * y0) - Float64(i * y1)) * t_9)
	t_11 = Float64(t_9 * Float64(Float64(y0 * b) - Float64(i * y1)))
	t_12 = Float64(Float64(y4 * y1) - Float64(y5 * y0))
	t_13 = Float64(t_4 * t_12)
	t_14 = Float64(Float64(Float64(y2 * k) - Float64(y3 * j)) * t_12)
	t_15 = Float64(Float64(Float64(Float64(Float64(Float64(k * y) * Float64(y5 * i)) - Float64(Float64(y * b) * Float64(y4 * k))) - Float64(Float64(y5 * t) * Float64(i * j))) - Float64(Float64(t_3 * t_1) - t_14)) + Float64(t_8 - Float64(t_11 - Float64(Float64(Float64(y2 * x) - Float64(y3 * z)) * Float64(Float64(c * y0) - Float64(y1 * a))))))
	t_16 = Float64(Float64(Float64(t_6 - Float64(Float64(y3 * y) * Float64(Float64(y5 * a) - Float64(y4 * c)))) + Float64(Float64(Float64(y5 * a) * Float64(t * y2)) + t_13)) + Float64(Float64(t_2 * Float64(Float64(c * y0) - Float64(a * y1))) - Float64(t_10 - Float64(Float64(Float64(y * x) - Float64(z * t)) * t_7))))
	t_17 = Float64(Float64(t * y2) - Float64(y * y3))
	tmp = 0.0
	if (y4 < -7.206256231996481e+60)
		tmp = Float64(Float64(t_8 - Float64(t_11 - t_6)) - Float64(Float64(t_3 / Float64(1.0 / t_1)) - t_14));
	elseif (y4 < -3.364603505246317e-66)
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(t * c) * Float64(i * z)) - Float64(Float64(a * t) * Float64(b * z))) - Float64(Float64(y * c) * Float64(i * x))) - t_10) + Float64(Float64(Float64(Float64(y0 * c) - Float64(a * y1)) * t_2) - Float64(Float64(t_17 * Float64(Float64(y4 * c) - Float64(a * y5))) - Float64(Float64(Float64(y1 * y4) - Float64(y5 * y0)) * t_4))));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = Float64(Float64(Float64(Float64(Float64(Float64(Float64(Float64(x * y) - Float64(z * t)) * Float64(Float64(a * b) - Float64(c * i))) - Float64(Float64(k * Float64(i * Float64(z * y1))) - Float64(Float64(j * Float64(i * Float64(x * y1))) + Float64(y0 * Float64(k * Float64(z * b)))))) + Float64(Float64(z * Float64(y3 * Float64(a * y1))) - Float64(Float64(y2 * Float64(x * Float64(a * y1))) + Float64(y0 * Float64(z * Float64(c * y3)))))) + Float64(Float64(Float64(t * j) - Float64(y * k)) * t_5)) - Float64(t_17 * t_1)) + t_13);
	end
	return tmp
end

MATLAB

function tmp_2 = code(x, y, z, t, a, b, c, i, j, k, y0, y1, y2, y3, y4, y5)
	t_1 = (y4 * c) - (y5 * a);
	t_2 = (x * y2) - (z * y3);
	t_3 = (y2 * t) - (y3 * y);
	t_4 = (k * y2) - (j * y3);
	t_5 = (y4 * b) - (y5 * i);
	t_6 = ((j * t) - (k * y)) * t_5;
	t_7 = (b * a) - (i * c);
	t_8 = t_7 * ((y * x) - (t * z));
	t_9 = (j * x) - (k * z);
	t_10 = ((b * y0) - (i * y1)) * t_9;
	t_11 = t_9 * ((y0 * b) - (i * y1));
	t_12 = (y4 * y1) - (y5 * y0);
	t_13 = t_4 * t_12;
	t_14 = ((y2 * k) - (y3 * j)) * t_12;
	t_15 = (((((k * y) * (y5 * i)) - ((y * b) * (y4 * k))) - ((y5 * t) * (i * j))) - ((t_3 * t_1) - t_14)) + (t_8 - (t_11 - (((y2 * x) - (y3 * z)) * ((c * y0) - (y1 * a)))));
	t_16 = ((t_6 - ((y3 * y) * ((y5 * a) - (y4 * c)))) + (((y5 * a) * (t * y2)) + t_13)) + ((t_2 * ((c * y0) - (a * y1))) - (t_10 - (((y * x) - (z * t)) * t_7)));
	t_17 = (t * y2) - (y * y3);
	tmp = 0.0;
	if (y4 < -7.206256231996481e+60)
		tmp = (t_8 - (t_11 - t_6)) - ((t_3 / (1.0 / t_1)) - t_14);
	elseif (y4 < -3.364603505246317e-66)
		tmp = (((((t * c) * (i * z)) - ((a * t) * (b * z))) - ((y * c) * (i * x))) - t_10) + ((((y0 * c) - (a * y1)) * t_2) - ((t_17 * ((y4 * c) - (a * y5))) - (((y1 * y4) - (y5 * y0)) * t_4)));
	elseif (y4 < -1.2000065055686116e-105)
		tmp = t_16;
	elseif (y4 < 6.718963124057495e-279)
		tmp = t_15;
	elseif (y4 < 4.77962681403792e-222)
		tmp = t_16;
	elseif (y4 < 2.2852241541266835e-175)
		tmp = t_15;
	else
		tmp = (((((((x * y) - (z * t)) * ((a * b) - (c * i))) - ((k * (i * (z * y1))) - ((j * (i * (x * y1))) + (y0 * (k * (z * b)))))) + ((z * (y3 * (a * y1))) - ((y2 * (x * (a * y1))) + (y0 * (z * (c * y3)))))) + (((t * j) - (y * k)) * t_5)) - (t_17 * t_1)) + t_13;
	end
	tmp_2 = tmp;
end

Wolfram

code[x_, y_, z_, t_, a_, b_, c_, i_, j_, k_, y0_, y1_, y2_, y3_, y4_, y5_] := Block[{t$95$1 = N[(N[(y4 * c), $MachinePrecision] - N[(y5 * a), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$2 = N[(N[(x * y2), $MachinePrecision] - N[(z * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$3 = N[(N[(y2 * t), $MachinePrecision] - N[(y3 * y), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$4 = N[(N[(k * y2), $MachinePrecision] - N[(j * y3), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$5 = N[(N[(y4 * b), $MachinePrecision] - N[(y5 * i), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$6 = N[(N[(N[(j * t), $MachinePrecision] - N[(k * y), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]}, Block[{t$95$7 = N[(N[(b * a), $MachinePrecision] - N[(i * c), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$8 = N[(t$95$7 * N[(N[(y * x), $MachinePrecision] - N[(t * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$9 = N[(N[(j * x), $MachinePrecision] - N[(k * z), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$10 = N[(N[(N[(b * y0), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision] * t$95$9), $MachinePrecision]}, Block[{t$95$11 = N[(t$95$9 * N[(N[(y0 * b), $MachinePrecision] - N[(i * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$12 = N[(N[(y4 * y1), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$13 = N[(t$95$4 * t$95$12), $MachinePrecision]}, Block[{t$95$14 = N[(N[(N[(y2 * k), $MachinePrecision] - N[(y3 * j), $MachinePrecision]), $MachinePrecision] * t$95$12), $MachinePrecision]}, Block[{t$95$15 = N[(N[(N[(N[(N[(N[(k * y), $MachinePrecision] * N[(y5 * i), $MachinePrecision]), $MachinePrecision] - N[(N[(y * b), $MachinePrecision] * N[(y4 * k), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y5 * t), $MachinePrecision] * N[(i * j), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 * t$95$1), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision] + N[(t$95$8 - N[(t$95$11 - N[(N[(N[(y2 * x), $MachinePrecision] - N[(y3 * z), $MachinePrecision]), $MachinePrecision] * N[(N[(c * y0), $MachinePrecision] - N[(y1 * a), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$16 = N[(N[(N[(t$95$6 - N[(N[(y3 * y), $MachinePrecision] * N[(N[(y5 * a), $MachinePrecision] - N[(y4 * c), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(y5 * a), $MachinePrecision] * N[(t * y2), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]), $MachinePrecision] + N[(N[(t$95$2 * N[(N[(c * y0), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(t$95$10 - N[(N[(N[(y * x), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * t$95$7), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]}, Block[{t$95$17 = N[(N[(t * y2), $MachinePrecision] - N[(y * y3), $MachinePrecision]), $MachinePrecision]}, If[Less[y4, -7.206256231996481e+60], N[(N[(t$95$8 - N[(t$95$11 - t$95$6), $MachinePrecision]), $MachinePrecision] - N[(N[(t$95$3 / N[(1.0 / t$95$1), $MachinePrecision]), $MachinePrecision] - t$95$14), $MachinePrecision]), $MachinePrecision], If[Less[y4, -3.364603505246317e-66], N[(N[(N[(N[(N[(N[(t * c), $MachinePrecision] * N[(i * z), $MachinePrecision]), $MachinePrecision] - N[(N[(a * t), $MachinePrecision] * N[(b * z), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y * c), $MachinePrecision] * N[(i * x), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - t$95$10), $MachinePrecision] + N[(N[(N[(N[(y0 * c), $MachinePrecision] - N[(a * y1), $MachinePrecision]), $MachinePrecision] * t$95$2), $MachinePrecision] - N[(N[(t$95$17 * N[(N[(y4 * c), $MachinePrecision] - N[(a * y5), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(N[(y1 * y4), $MachinePrecision] - N[(y5 * y0), $MachinePrecision]), $MachinePrecision] * t$95$4), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision], If[Less[y4, -1.2000065055686116e-105], t$95$16, If[Less[y4, 6.718963124057495e-279], t$95$15, If[Less[y4, 4.77962681403792e-222], t$95$16, If[Less[y4, 2.2852241541266835e-175], t$95$15, N[(N[(N[(N[(N[(N[(N[(N[(x * y), $MachinePrecision] - N[(z * t), $MachinePrecision]), $MachinePrecision] * N[(N[(a * b), $MachinePrecision] - N[(c * i), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(k * N[(i * N[(z * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(j * N[(i * N[(x * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(k * N[(z * b), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(z * N[(y3 * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] - N[(N[(y2 * N[(x * N[(a * y1), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(y0 * N[(z * N[(c * y3), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision]), $MachinePrecision] + N[(N[(N[(t * j), $MachinePrecision] - N[(y * k), $MachinePrecision]), $MachinePrecision] * t$95$5), $MachinePrecision]), $MachinePrecision] - N[(t$95$17 * t$95$1), $MachinePrecision]), $MachinePrecision] + t$95$13), $MachinePrecision]]]]]]]]]]]]]]]]]]]]]]]]

Reproduce

herbie shell --seed 2023334 
(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)))))